Chapter 26 Logistic regression

library(tidyverse)

26.1 Finding wolf spiders on the beach

A team of Japanese researchers were investigating what would cause the burrowing wolf spider Lycosa ishikariana* to be found on a beach. They hypothesized that it had to do with the size of the grains of sand on the beach. They went to 28 beaches in Japan, measured the average sand grain size (in millimetres), and observed the presence or absence of this particular spider on each beach. The data are in link.

Why would logistic regression be better than regular regression in this case?
Read in the data and check that you have something sensible. (Look at the data file first: the columns are aligned but the headers are not aligned with them.)
Make a boxplot of sand grain size according to whether the spider is present or absent. Does this suggest that sand grain size has something to do with presence or absence of the spider?
Fit a logistic regression predicting the presence or absence of spiders from the grain size, and obtain its summary. Note that you will need to do something with the response variable first.
Is there a significant relationship between grain size and presence or absence of spiders at the \(\alpha=0.10\) level? Explain briefly.
Obtain predicted probabilities of spider presence for a representative collection of grain sizes. I only want predicted probabilities, not any kind of intervals.
Given your previous work in this question, does the trend you see in your predicted probabilities surprise you? Explain briefly.

26.2 Killing aphids

An experiment was designed to examine how well the insecticide rotenone kills aphids that feed on the chrysanthemum plant called Macrosiphoniella sanborni. The explanatory variable is the log concentration (in milligrams per litre) of the insecticide. At each of the five different concentrations, approximately 50 insects were exposed. The number of insects exposed at each concentration, and the number killed, are shown below.


Log-Concentration   Insects exposed    Number killed   
0.96                       50              6               
1.33                       48              16              
1.63                       46              24              
2.04                       49              42              
2.32                       50              44

Get these data into R. You can do this by copying the data into a file and reading that into R (creating a data frame), or you can enter the data manually into R using c, since there are not many values. In the latter case, you can create a data frame or not, as you wish. Demonstrate that you have the right data in R.
* Looking at the data, would you expect there to be a significant effect of log-concentration? Explain briefly.
We are going to do a logistic regression to predict how likely an insect is to be killed, as it depends on the log-concentration. Create a suitable response variable, bearing in mind (i) that we have lots of insects exposed to each different concentration, and (ii) what needs to go into each column of the response.
Run a suitable logistic regression, and obtain a summary of the results.
Does your analysis support your answer to (here)? Explain briefly.
Obtain predicted probabilities of an insect’s being killed at each of the log-concentrations in the data set.
People in this kind of work are often interested in the “median lethal dose”. In this case, that would be the log-concentration of the insecticide that kills half the insects. Based on your predictions, roughly what do you think the median lethal dose is?

26.3 The effects of Substance A

In a dose-response experiment, animals (or cell cultures or human subjects) are exposed to some toxic substance, and we observe how many of them show some sort of response. In this experiment, a mysterious Substance A is exposed at various doses to 100 cells at each dose, and the number of cells at each dose that suffer damage is recorded. The doses were 10, 20, … 70 (mg), and the number of damaged cells out of 100 were respectively 10, 28, 53, 77, 91, 98, 99.

Find a way to get these data into R, and show that you have managed to do so successfully.
Would you expect to see a significant effect of dose for these data? Explain briefly.
Fit a logistic regression modelling the probability of a cell being damaged as it depends on dose. Display the results. (Comment on them is coming later.)
Does your output indicate that the probability of damage really does increase with dose? (There are two things here: is there really an effect, and which way does it go?)
Obtain predicted damage probabilities for some representative doses.
Draw a graph of the predicted probabilities, and to that add the observed proportions of damage at each dose. Hints: you will have to calculate the observed proportions first. See here, near the bottom, to find out how to add data to one of these graphs. The geom_point line is the one you need.

Looking at the predicted probabilities, would you say that the model fits well? Explain briefly.

26.4 What makes an animal get infected?

Some animals got infected with a parasite. We are interested in whether the likelihood of infection depends on any of the age, weight and sex of the animals. The data are at link. The values are separated by tabs.

Read in the data and take a look at the first few lines. Is this one animal per line, or are several animals with the same age, weight and sex (and infection status) combined onto one line? How can you tell?
* Make suitable plots or summaries of infected against each of the other variables. (You’ll have to think about sex, um, you’ll have to think about the sex variable, because it too is categorical.) Anything sensible is OK here. You might like to think back to what we did in Question here for inspiration. (You can also investigate table, which does cross-tabulations.)
Which, if any, of your explanatory variables appear to be related to infected? Explain briefly.
Fit a logistic regression predicting infected from the other three variables. Display the summary.
* Which variables, if any, would you consider removing from the model? Explain briefly.
Are the conclusions you drew in (here) and (here) consistent, or not? Explain briefly.
* The first and third quartiles of age are 26 and 130; the first and third quartiles of weight are 9 and 16. Obtain predicted probabilities for all combinations of these and sex. (You’ll need to start by making a new data frame, using datagrid to get all the combinations.)

26.5 The brain of a cat

A large number (315) of psychology students were asked to imagine that they were serving on a university ethics committee hearing a complaint against animal research being done by a member of the faculty. The students were told that the surgery consisted of implanting a device called a cannula in each cat’s brain, through which chemicals were introduced into the brain and the cats were then given psychological tests. At the end of the study, the cats’ brains were subjected to histological analysis. The complaint asked that the researcher’s authorization to carry out the study should be withdrawn, and the cats should be handed over to the animal rights group that filed the complaint. It was suggested that the research could just as well be done with computer simulations.

All of the psychology students in the survey were told all of this. In addition, they read a statement by the researcher that no animal felt much pain at any time, and that computer simulation was not an adequate substitute for animal research. Each student was also given one of the following scenarios that explained the benefit of the research:

“cosmetic”: testing the toxicity of chemicals to be used in new lines of hair care products.
“theory”: evaluating two competing theories about the function of a particular nucleus in the brain.
“meat”: testing a synthetic growth hormone said to potentially increase meat production.
“veterinary”: attempting to find a cure for a brain disease that is killing domesticated cats and endangered species of wild cats.
“medical”: evaluating a potential cure for a debilitating disease that afflicts many young adult humans.

Finally, each student completed two questionnaires: one that would assess their “relativism”: whether or not they believe in universal moral principles (low score) or whether they believed that the appropriate action depends on the person and situation (high score). The second questionnaire assessed “idealism”: a high score reflects a belief that ethical behaviour will always lead to good consequences (and thus that if a behaviour leads to any bad consequences at all, it is unethical).³⁶

After being exposed to all of that, each student stated their decision about whether the research should continue or stop.

I should perhaps stress at this point that no actual cats were harmed in the collection of these data (which can be found as a .csv file at link). The variables in the data set are these:

decision: whether the research should continue or stop (response)
idealism: score on idealism questionnaire
relativism: score on relativism questionnaire
gender of student
scenario of research benefits that the student read.

A more detailed discussion^(“[If you can believe it.] of this study is at link.

Read in the data and check by looking at the structure of your data frame that you have something sensible. Do not call your data frame decision, since that’s the name of one of the variables in it.
Fit a logistic regression predicting decision from gender. Is there an effect of gender?
To investigate the effect (or non-effect) of gender, create a contingency table by feeding decision and gender into table. What does this tell you?
* Is your slope for gender in the previous logistic regression positive or negative? Is it applying to males or to females? Looking at the conclusions from your contingency table, what probability does that mean your logistic regression is actually modelling?
Add the two variables idealism and relativism to your logistic regression. Do either or both of them add significantly to your model? Explain briefly.
Add the variable scenario to your model. That is, fit a new model with that variable plus all the others.
Use anova to compare the models with and without scenario. You’ll have to add a test="Chisq" to your anova, to make sure that the test gets done. Does scenario make a difference or not, at \(\alpha=0.10\)? Explain briefly. (The reason we have to do it this way is that scenario is a factor with five levels, so it has four slope coefficients. To test them all at once, which is what we need to make an overall test for scenario, this is the way it has to be done.)
Look at the summary of your model that contained scenario. Bearing in mind that the slope coefficient for scenariocosmetic is zero (since this is the first scenario alphabetically), which scenarios have the most positive and most negative slope coefficients? What does that tell you about those scenarios’ effects?
Describe the effects that having (i) a higher idealism score and (ii) a higher relativity score have on a person’s probability of saying that the research should stop. Do each of these increase or decrease that probability? Explain briefly.

26.6 How not to get heart disease

What is associated with heart disease? In a study, a large number of variables were measured, as follows:

age (years)
sex male or female
pain.type Chest pain type (4 values: typical angina, atypical angina, non-anginal pain, asymptomatic)
resting.bp Resting blood pressure, on admission to hospital
serum.chol Serum cholesterol
high.blood.sugar: greater than 120, yes or no
electro resting electrocardiographic results (normal, having ST-T, hypertrophy)
max.hr Maximum heart rate
angina Exercise induced angina (yes or no)
oldpeak ST depression induced by exercise relative to rest. See link.
slope Slope of peak exercise ST segment. Sloping up, flat or sloping down
colored number of major vessels (0–3) coloured by fluoroscopy
thal normal, fixed defect, reversible defect
heart.disease yes, no (response)

I don’t know what most of those are, but we will not let that stand in our way. Our aim is to find out what variables are associated with heart disease, and what values of those variables give high probabilities of heart disease being present. The data are in link.

Read in the data. Display the first few lines and convince yourself that those values are reasonable.
In a logistic regression, what probability will be predicted here? Explain briefly but convincingly. (Is each line of the data file one observation or a summary of several?)
* Fit a logistic regression predicting heart disease from everything else (if you have a column called X or X1, ignore that), and display the results.
Quite a lot of our explanatory variables are factors. To assess whether the factor as a whole should stay or can be removed, looking at the slopes won’t help us very much (since they tell us whether the other levels of the factor differ from the baseline, which may not be a sensible comparison to make). To assess which variables are candidates to be removed, factors included (properly), we can use drop1. Feed drop1 a fitted model and the words test="Chisq" (take care of the capitalization!) and you’ll get a list of P-values. Which variable is the one that you would remove first? Explain briefly.
I’m not going to make you do the whole backward elimination (I’m going to have you use step for that later), but do one step: that is, fit a model removing the variable you think should be removed, using update, and then run drop1 again to see which variable will be removed next.
Use step to do a backward elimination to find which variables have an effect on heart disease. Display your final model (which you can do by saving the output from step in a variable, and asking for the summary of that. In step, you’ll need to specify a starting model (the one from part (here)), the direction of elimination, and the test to display the P-value for (the same one as you used in drop1). (Note: the actual decision to keep or drop explanatory variables is based on AIC rather than the P-value, with the result that step will sometimes keep variables you would have dropped, with P-values around 0.10.)
Display the summary of the model that came out of step.
We are going to make a large number of predictions. Create and save a data frame that contains predictions for all combinations of representative values for all the variables in the model that came out of step. By “representative” I mean all the values for a categorical variable, and the five-number summary for a numeric variable. (Note that you will get a lot of predictions.)
Find the largest predicted probability (which is the predicted probability of heart disease) and display all the variables that it was a prediction for.
Compare the summary of the final model from step with your highest predicted heart disease probability and the values of the other variables that make it up. Are they consistent?

26.7 Successful breastfeeding

A regular pregnancy lasts 40 weeks, and a baby that is born at or before 33 weeks is called “premature”. The number of weeks at which a baby is born is called its “gestational age”. Premature babies are usually smaller than normal and may require special care. It is a good sign if, when the mother and baby leave the hospital to go home, the baby is successfully breastfeeding.

The data in link are from a study of 64 premature infants. There are three columns: the gestational age (a whole number of weeks), the number of babies of that gestational age that were successfully breastfeeding when they left the hospital, and the number that were not. (There were multiple babies of the same gestational age, so the 64 babies are summarized in 6 rows of data.)

Read the data into R and display the data frame.
Verify that there were indeed 64 infants, by having R do a suitable calculation on your data frame that gives the right answer for the right reason.
Do you think, looking at the data, that there is a relationship between gestational age and whether or not the baby was successfully breastfeeding when it left the hospital? Explain briefly.
Why is logistic regression a sensible technique to use here? Explain briefly.
Fit a logistic regression to predict the probability that an infant will be breastfeeding from its gestational age. Show the output from your logistic regression.
Does the significance or non-significance of the slope of gest.age surprise you? Explain briefly.
Is your slope (in the Estimate column) positive or negative? What does that mean, in terms of gestational ages and breastfeeding? Explain briefly.
Obtain the predicted probabilities that an infant will successfully breastfeed for a representative collection of gestational ages.

26.8 Making it over the mountains

In 1846, the Donner party (Donner and Reed families) left Springfield, Illinois for California in covered wagons. After reaching Fort Bridger, Wyoming, the leaders decided to find a new route to Sacramento. They became stranded in the eastern Sierra Nevada mountains at a place now called Donner Pass, when the region was hit by heavy snows in late October. By the time the survivors were rescued on April 21, 1847, 40 out of 87 had died.

After the rescue, the age and gender of each person in the party was recorded, along with whether they survived or not. The data are in link.

Read in the data and display its structure. Does that agree with the description in the previous paragraph?
Make graphical or numerical summaries for each pair of variables. That is, you should make a graph or numerical summary for each of age vs. gender, age vs.
survived and gender vs. survived. In choosing the kind of graph or summary that you will use, bear in mind that survived and gender are factors with two levels.
For each of the three graphs or summaries in the previous question, what do they tell you about the relationship between the pair of variables concerned? Explain briefly.
Fit a logistic regression predicting survival from age and gender. Display the summary.
Do both explanatory variables have an impact on survival? Does that seem to be consistent with your numerical or graphical summaries? Explain briefly.
Are the men typically older, younger or about the same age as the women? Considering this, explain carefully what the negative gendermale slope in your logistic regression means.
Obtain predicted probabilities of survival for each combination of some representative ages and of the two genders in this dataset.
Do your predictions support your conclusions from earlier about the effects of age and gender? Explain briefly.

26.9 Who needs the most intensive care?

The “APACHE II” is a scale for assessing patients who arrive in the intensive care unit (ICU) of a hospital. These are seriously ill patients who may die despite the ICU’s best attempts. APACHE stands for “Acute Physiology And Chronic Health Evaluation”.³⁷ The scale score is calculated from several physiological measurements such as body temperature, heart rate and the Glasgow coma scale, as well as the patient’s age. The final result is a score between 0 and 71, with a higher score indicating more severe health issues. Is it true that a patient with a higher APACHE II score has a higher probability of dying?

Data from one hospital are in link. The columns are: the APACHE II score, the total number of patients who had that score, and the number of patients with that score who died.

Read in and display the data (however much of it displays). Why are you convinced that have the right thing?
Does each row of the data frame relate to one patient or sometimes to more than one? Explain briefly.
Explain why this is the kind of situation where you need a two-column response, and create this response variable, bearing in mind that I will (later) want you to estimate the probability of dying, given the apache score.
Fit a logistic regression to estimate the probability of death from the apache score, and display the results.
Is there a significant effect of apache score on the probability of survival? Explain briefly.
Is the effect of a larger apache score to increase or to decrease the probability of death? Explain briefly.
Obtain the predicted probability of death for a representative collection of the apache scores that were in the data set. Do your predictions behave as you would expect (from your earlier work)?
Make a plot of predicted death probability against apache score (joined by lines) with, also on the plot, the observed proportion of deaths within each apache score, plotted against apache score. Does there seem to be good agreement between observation and prediction? Hint: calculate what you need to from the original dataframe first, save it, then make a plot of the predictions, and then to the plot add the appropriate thing from the dataframe you just saved.

26.10 Go away and don’t come back!

When a person has a heart attack and survives it, the major concern of health professionals is to prevent the person having a second heart attack. Two factors that are believed to be important are anger and anxiety; if a heart attack survivor tends to be angry or anxious, they are believed to put themselves at increased risk of a second heart attack.

Twenty heart attack survivors took part in a study. Each one was given a test designed to assess their anxiety (a higher score on the test indicates higher anxiety), and some of the survivors took an anger management course. The data are in link; y and n denote “yes” and “no” respectively. The columns denote (i) whether or not the person had a second heart attack, (ii) whether or not the person took the anger management class, (iii) the anxiety score.

Read in and display the data.
* Fit a logistic regression predicting whether or not a heart attack survivor has a second heart attack, as it depends on anxiety score and whether or not the person took the anger management class. Display the results.
In the previous part, how can you tell that you were predicting the probability of having a second heart attack (as opposed to the probability of not having one)?
* For the two possible values y and n of anger and the anxiety scores 40, 50 and 60, make a data frame containing all six combinations, and use it to obtain predicted probabilities of a second heart attack. Display your predicted probabilities side by side with what they are predictions for.
Use your predictions from the previous part to describe the effect of changes in anxiety and anger on the probability of a second heart attack.
Are the effects you described in the previous part consistent with the summary output from glm that you obtained in (here)? Explain briefly how they are, or are not. (You need an explanation for each of anxiety and anger, and you will probably get confused if you look at the P-values, so don’t.)

My solutions follow:

26.11 Finding wolf spiders on the beach

Why would logistic regression be better than regular regression in this case?

Solution

Because the response variable, whether or not the spider is present, is a categorical yes/no success/failure kind of variable rather than a quantitative numerical one, and when you have this kind of response variable, this is when you want to use logistic regression.

\(\blacksquare\)

Read in the data and check that you have something sensible. (Look at the data file first: the columns are aligned but the headers are not aligned with them.)

Solution

The nature of the file means that you need read_table2:

my_url <- "http://ritsokiguess.site/datafiles/spiders.txt"
spider <- read_table2(my_url)

## Warning: `read_table2()` was deprecated in readr 2.0.0.
## Please use `read_table()` instead.

## 
## ── Column specification ────────────────────────────────────────────────────────
## cols(
##   Grain.size = col_double(),
##   Spiders = col_character()
## )

spider

## # A tibble: 28 × 2
##    Grain.size Spiders
##         <dbl> <chr>  
##  1      0.245 absent 
##  2      0.247 absent 
##  3      0.285 present
##  4      0.299 present
##  5      0.327 present
##  6      0.347 present
##  7      0.356 absent 
##  8      0.36  present
##  9      0.363 absent 
## 10      0.364 present
## # … with 18 more rows

We have a numerical sand grain size and a categorical variable Spiders that indicates whether the spider was present or absent. As we were expecting. (The categorical variable is actually text or chr, which will matter in a minute.)

\(\blacksquare\)

Make a boxplot of sand grain size according to whether the spider is present or absent. Does this suggest that sand grain size has something to do with presence or absence of the spider?

Solution

ggplot(spider, aes(x = Spiders, y = Grain.size)) + geom_boxplot()

The story seems to be that when spiders are present, the sand grain size tends to be larger. So we would expect to find some kind of useful relationship in the logistic regression.

Note that we have reversed the cause and effect here: in the boxplot we are asking “given that the spider is present or absent, how big are the grains of sand?”, whereas the logistic regression is asking “given the size of the grains of sand, how likely is the spider to be present?”. But if one variable has to do with the other, we would hope to see the link either way around.

\(\blacksquare\)

Fit a logistic regression predicting the presence or absence of spiders from the grain size, and obtain its summary. Note that you will need to do something with the response variable first.

Solution

The presence or absence of spiders is our response. This is actually text at the moment:

spider

## # A tibble: 28 × 2
##    Grain.size Spiders
##         <dbl> <chr>  
##  1      0.245 absent 
##  2      0.247 absent 
##  3      0.285 present
##  4      0.299 present
##  5      0.327 present
##  6      0.347 present
##  7      0.356 absent 
##  8      0.36  present
##  9      0.363 absent 
## 10      0.364 present
## # … with 18 more rows

so we need to make a factor version of it first. I’m going to live on the edge and overwrite everything:

spider <- spider %>% mutate(Spiders = factor(Spiders))
spider

## # A tibble: 28 × 2
##    Grain.size Spiders
##         <dbl> <fct>  
##  1      0.245 absent 
##  2      0.247 absent 
##  3      0.285 present
##  4      0.299 present
##  5      0.327 present
##  6      0.347 present
##  7      0.356 absent 
##  8      0.36  present
##  9      0.363 absent 
## 10      0.364 present
## # … with 18 more rows

Spiders is now a factor, correctly. (Sometimes a text variable gets treated as a factor, sometimes it needs to be an explicit factor. This is one of those times.) Now we go ahead and fit the model. I’m naming this as response-with-a-number, so I still have the Capital Letter. Any choice of name is good, though.

Spiders.1 <- glm(Spiders ~ Grain.size, family = "binomial", data = spider)
summary(Spiders.1)

## 
## Call:
## glm(formula = Spiders ~ Grain.size, family = "binomial", data = spider)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.7406  -1.0781   0.4837   0.9809   1.2582  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)  
## (Intercept)   -1.648      1.354  -1.217   0.2237  
## Grain.size     5.122      3.006   1.704   0.0884 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 35.165  on 27  degrees of freedom
## Residual deviance: 30.632  on 26  degrees of freedom
## AIC: 34.632
## 
## Number of Fisher Scoring iterations: 5

\(\blacksquare\)

Is there a significant relationship between grain size and presence or absence of spiders at the \(\alpha=0.10\) level? Explain briefly.

Solution

The P-value on the Grain.size line is just less than 0.10 (it is 0.088), so there is just a significant relationship. It isn’t a very strong significance, though. This might be because we don’t have that much data: even though we have 28 observations, which, on the face of it, is not a very small sample size, each observation doesn’t tell us much: only whether the spider was found on that beach or not. Typical sample sizes in logistic regression are in the hundreds — the same as for opinion polls, because you’re dealing with the same kind of data. The weak significance here lends some kind of weak support to the researchers’ hypothesis, but I’m sure they were hoping for something better.

\(\blacksquare\)

Obtain predicted probabilities of spider presence for a representative collection of grain sizes. I only want predicted probabilities, not any kind of intervals.

Solution

predictions(Spiders.1, variables = "Grain.size")

##   rowid     type predicted  std.error  conf.low conf.high Spiders Grain.size
## 1     1 response 0.4030327 0.16808179 0.1465301 0.7263914 present     0.2450
## 2     2 response 0.5463394 0.11961825 0.3186411 0.7561720 present     0.3580
## 3     3 response 0.6310484 0.10165243 0.4209178 0.8009817 present     0.4265
## 4     4 response 0.8186535 0.10658512 0.5250085 0.9485530 present     0.6160
## 5     5 response 0.9759763 0.04478621 0.4901491 0.9994179 present     1.0450

Another way to do this is to make a data frame of values to predict from directly, using tribble or for that matter datagrid. For some reason, I chose these four values:

new <- tribble(
  ~Grain.size,
  0.2,
  0.5,
  0.8,
  1.1
)
new

## # A tibble: 4 × 1
##   Grain.size
##        <dbl>
## 1        0.2
## 2        0.5
## 3        0.8
## 4        1.1

and then

predictions(Spiders.1, newdata = new)

##   rowid     type predicted  std.error   conf.low conf.high Grain.size
## 1     1 response 0.3490280 0.18372874 0.09901501 0.7234397        0.2
## 2     2 response 0.7136446 0.10002065 0.48846714 0.8667406        0.5
## 3     3 response 0.9205335 0.08814352 0.52197892 0.9919281        0.8
## 4     4 response 0.9817663 0.03708142 0.48153846 0.9996797        1.1

One of the above is all I need. I prefer the first one, since that way we don’t even have to decide what th e representative values are.

Extra:

Note that the probabilities don’t go up linearly. (If they did, they would soon get bigger than 1!). It’s actually the log-odds that go up linearly.

To verify this, you can add a type to the predictions:

predictions(Spiders.1, newdata = new, type = "link")

##   rowid type  predicted std.error    conf.low conf.high Grain.size
## 1     1 link -0.6233144 0.8086387 -2.20821718 0.9615883        0.2
## 2     2 link  0.9131514 0.4894432 -0.04613964 1.8724424        0.5
## 3     3 link  2.4496172 1.2049430  0.08797237 4.8112621        0.8
## 4     4 link  3.9860831 2.0714477 -0.07387976 8.0460459        1.1

This one, as you see shortly, makes more sense with equally-spaced grain sizes.

The meaning of that slope coefficient in the summary, which is about 5, is that if you increase grain size by 1, you increase the log-odds by 5. In the table above, we increased the grain size by 0.3 each time, so we would expect to increase the log-odds by \((0.3)(5)=1.5\), which is (to this accuracy) what happened.

Log-odds are hard to interpret. Odds are a bit easier, and to get them, we have to exp the log-odds:

predictions(Spiders.1, newdata = new, type = "link") %>% 
  mutate(exp_pred = exp(predicted))

##   rowid type  predicted std.error    conf.low conf.high Grain.size   exp_pred
## 1     1 link -0.6233144 0.8086387 -2.20821718 0.9615883        0.2  0.5361644
## 2     2 link  0.9131514 0.4894432 -0.04613964 1.8724424        0.5  2.4921640
## 3     3 link  2.4496172 1.2049430  0.08797237 4.8112621        0.8 11.5839120
## 4     4 link  3.9860831 2.0714477 -0.07387976 8.0460459        1.1 53.8435749

Thus, with each step of 0.3 in grain size, we multiply the odds of finding a spider by about

exp(1.5)

## [1] 4.481689

or about 4.5 times. If you’re a gambler, this might give you a feel for how large the effect of grain size is. Or, of course, you can just look at the probabilities.

\(\blacksquare\)

Given your previous work in this question, does the trend you see in your predicted probabilities surprise you? Explain briefly.

Solution

My predicted probabilities go up as grain size goes up. This fails to surprise me for a couple of reasons: first, in my boxplots, I saw that grain size tended to be larger when spiders were present, and second, in my logistic regression summary, the slope was positive, so likewise spiders should be more likely as grain size goes up. Observing just one of these things is enough, though of course it’s nice if you can spot both.

\(\blacksquare\)

26.12 Killing aphids


Log-Concentration   Insects exposed    Number killed   
0.96                       50              6               
1.33                       48              16              
1.63                       46              24              
2.04                       49              42              
2.32                       50              44

Get these data into R. You can do this by copying the data into a file and reading that into R (creating a data frame), or you can enter the data manually into R using c, since there are not many values. In the latter case, you can create a data frame or not, as you wish. Demonstrate that you have the right data in R.

Solution

There are a couple of ways. My current favourite is the tidyverse-approved tribble method. A tribble is a “transposed tibble”, in which you copy and paste the data, inserting column headings and commas in the right places. The columns don’t have to line up, since it’s the commas that determine where one value ends and the next one begins:

dead_bugs <- tribble(
  ~log_conc, ~exposed, ~killed,
  0.96, 50, 6,
  1.33, 48, 16,
  1.63, 46, 24,
  2.04, 49, 42,
  2.32, 50, 44
)
dead_bugs

## # A tibble: 5 × 3
##   log_conc exposed killed
##      <dbl>   <dbl>  <dbl>
## 1     0.96      50      6
## 2     1.33      48     16
## 3     1.63      46     24
## 4     2.04      49     42
## 5     2.32      50     44

Note that the last data value has no comma after it, but instead has the closing bracket of tribble.

You can have extra spaces if you wish. They will just be ignored. If you are clever in R Studio, you can insert a column of commas all at once (using “multiple cursors”). I used to do it like this. I make vectors of each column using c and then glue the columns together into a data frame:

log_conc <- c(0.96, 1.33, 1.63, 2.04, 2.32)
exposed <- c(50, 48, 46, 49, 50)
killed <- c(6, 16, 24, 42, 44)
dead_bugs2 <- tibble(log_conc, exposed, killed)
dead_bugs2

## # A tibble: 5 × 3
##   log_conc exposed killed
##      <dbl>   <dbl>  <dbl>
## 1     0.96      50      6
## 2     1.33      48     16
## 3     1.63      46     24
## 4     2.04      49     42
## 5     2.32      50     44

The values are correct — I checked them.

Now you see why tribble stands for “transposed tibble”: if you want to construct a data frame by hand, you have to work with columns and then glue them together, but tribble allows you to work “row-wise” with the data as you would lay it out on the page.

The other obvious way to read the data values without typing them is to copy them into a file and read that. The values as laid out are aligned in columns. They might be separated by tabs, but they are not. (It’s hard to tell without investigating, though a tab is by default eight spaces and these values look farther apart than that.) I copied them into a file exposed.txt in my current folder (or use file.choose):

bugs2 <- read_table("exposed.txt")

## Warning: Missing column names filled in: 'X6' [6]

## 
## ── Column specification ────────────────────────────────────────────────────────
## cols(
##   `Log-Concentration` = col_double(),
##   Insects = col_double(),
##   exposed = col_double(),
##   Number = col_logical(),
##   killed = col_character(),
##   X6 = col_character()
## )

## Warning: 5 parsing failures.
## row col  expected    actual          file
##   1  -- 6 columns 4 columns 'exposed.txt'
##   2  -- 6 columns 4 columns 'exposed.txt'
##   3  -- 6 columns 4 columns 'exposed.txt'
##   4  -- 6 columns 4 columns 'exposed.txt'
##   5  -- 6 columns 4 columns 'exposed.txt'

bugs2

## # A tibble: 5 × 6
##   `Log-Concentration` Insects exposed Number killed X6   
##                 <dbl>   <dbl>   <dbl> <lgl>  <chr>  <chr>
## 1                0.96      50       6 NA     <NA>   <NA> 
## 2                1.33      48      16 NA     <NA>   <NA> 
## 3                1.63      46      24 NA     <NA>   <NA> 
## 4                2.04      49      42 NA     <NA>   <NA> 
## 5                2.32      50      44 NA     <NA>   <NA>

This didn’t quite work: the last column Number killed got split into two, with the actual number killed landing up in Number and the column killed being empty. If you look at the data file, the data values for Number killed are actually aligned with the word Number, which is why it came out this way. Also, you’ll note, the column names have those “backticks” around them, because they contain illegal characters like a minus sign and spaces. Perhaps a good way to pre-empt³⁸ all these problems is to make a copy of the data file with the illegal characters replaced by underscores, which is my file exposed2.txt:

bugs2 <- read_table("exposed2.txt")

## Warning: Missing column names filled in: 'X4' [4]

## 
## ── Column specification ────────────────────────────────────────────────────────
## cols(
##   Log_Concentration = col_double(),
##   Insects_exposed = col_double(),
##   Number_killed = col_double(),
##   X4 = col_logical()
## )

bugs2

## # A tibble: 5 × 4
##   Log_Concentration Insects_exposed Number_killed X4   
##               <dbl>           <dbl>         <dbl> <lgl>
## 1              0.96              50             6 NA   
## 2              1.33              48            16 NA   
## 3              1.63              46            24 NA   
## 4              2.04              49            42 NA   
## 5              2.32              50            44 NA

This is definitely good. We’d have to be careful with Capital Letters this way, but it’s definitely good.

You may have thought that this was a lot of fuss to make about reading in data, but the point is that data can come your way in lots of different forms, and you need to be able to handle whatever you receive so that you can do some analysis with it.

\(\blacksquare\)

* Looking at the data, would you expect there to be a significant effect of log-concentration? Explain briefly.

Solution

The numbers of insects killed goes up sharply as the concentration increases, while the numbers of insects exposed don’t change much. So I would expect to see a strong, positive effect of concentration, and I would expect it to be strongly significant, especially since we have almost 250 insects altogether.

\(\blacksquare\)

We are going to do a logistic regression to predict how likely an insect is to be killed, as it depends on the log-concentration. Create a suitable response variable, bearing in mind (i) that we have lots of insects exposed to each different concentration, and (ii) what needs to go into each column of the response.

Solution

There needs to be a two-column response variable. The first column needs to be the number of “successes” (insects killed, here) and the second needs to be the number of “failures” (insects that survived). We don’t actually have the latter, but we know how many insects were exposed in total to each dose, so we can work it out. Like this:

dead_bugs %>%
  mutate(survived = exposed - killed) %>%
  select(killed, survived) %>%
  as.matrix() -> response
response

##      killed survived
## [1,]      6       44
## [2,]     16       32
## [3,]     24       22
## [4,]     42        7
## [5,]     44        6

glm requires an R matrix rather than a data frame, so the last stage of our pipeline is to create one (using the same numbers that are in the data frame: all the as. functions do is to change what type of thing it is, without changing its contents).

It’s also equally good to create the response outside of the data frame and use cbind to glue its columns together:

resp2 <- with(
  dead_bugs,
  cbind(killed, survived = exposed - killed)
)
resp2

##      killed survived
## [1,]      6       44
## [2,]     16       32
## [3,]     24       22
## [4,]     42        7
## [5,]     44        6

\(\blacksquare\)

Run a suitable logistic regression, and obtain a summary of the results.

Solution

I think you know how to do this by now:

bugs.1 <- glm(response ~ log_conc, family = "binomial", data = dead_bugs)
summary(bugs.1)

## 
## Call:
## glm(formula = response ~ log_conc, family = "binomial", data = dead_bugs)
## 
## Deviance Residuals: 
##       1        2        3        4        5  
## -0.1963   0.2099  -0.2978   0.8726  -0.7222  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  -4.8923     0.6426  -7.613 2.67e-14 ***
## log_conc      3.1088     0.3879   8.015 1.11e-15 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 96.6881  on 4  degrees of freedom
## Residual deviance:  1.4542  on 3  degrees of freedom
## AIC: 24.675
## 
## Number of Fisher Scoring iterations: 4

\(\blacksquare\)

Does your analysis support your answer to (here)? Explain briefly.

Solution

That’s a very small P-value, \(1.1\times 10^{-15}\), on log_conc, so there is no doubt that concentration has an effect on an insect’s chances of being killed. This is exactly what I guessed in (here), which I did before looking at the results, honest!

\(\blacksquare\)

Obtain predicted probabilities of an insect’s being killed at each of the log-concentrations in the data set.

Solution

Use a newdata that is the original dataframe:

predictions(bugs.1, newdata = dead_bugs)

##   rowid     type predicted  std.error   conf.low conf.high log_conc exposed
## 1     1 response 0.1292158 0.03339589 0.07658828 0.2097905     0.96      50
## 2     2 response 0.3191540 0.04175556 0.24337005 0.4058775     1.33      48
## 3     3 response 0.5436313 0.03975938 0.46527369 0.6198873     1.63      46
## 4     4 response 0.8099321 0.03581115 0.72980384 0.8705139     2.04      49
## 5     5 response 0.9105221 0.02609660 0.84451589 0.9501610     2.32      50
##   killed
## 1      6
## 2     16
## 3     24
## 4     42
## 5     44

The advantage of this is that you can compare the observed with the predicted. For example, 44 out of 50 insects were killed at log-dose 2.32, which is a proportion of 0.88, pretty close to the prediction of 0.91.

Extra: you could also make a plot of these:

plot_cap(bugs.1, condition = "log_conc")

As the log-concentration goes up, you can see how clearly the probability of the aphid being killed goes up. The confidence band is narrow because there is lots of data (almost 250 aphids altogether).

\(\blacksquare\)

People in this kind of work are often interested in the “median lethal dose”. In this case, that would be the log-concentration of the insecticide that kills half the insects. Based on your predictions, roughly what do you think the median lethal dose is?

Solution

The log-concentration of 1.63 is predicted to kill just over half the insects, so the median lethal dose should be a bit less than 1.63. It should not be as small as 1.33, though, since that log-concentration only kills less than a third of the insects. So I would guess somewhere a bit bigger than 1.5. Any guess somewhere in this ballpark is fine: you really cannot be very accurate.

If you read through the Extra to the previous part (or at least looked at the graph), the median lethal dose is where the curve of predictions passes through 0.5 on the \(y\)-axis. This is at a log-concentration of just less than 1.6; if you judge from the scale where the crossing-point is, it’s something like 1.57.

Extra: this is kind of a strange prediction problem, because we know what the response variable should be, and we want to know what the explanatory variable’s value is. Normally we do predictions the other way around.³⁹ So the only way to get a more accurate figure is to try some different log-concentrations, and see which one gets closest to a probability 0.5 of killing the insect.

Something like this would work:

new <- datagrid(model = bugs.1, log_conc = seq(1.5, 1.63, 0.01))
predictions(bugs.1, newdata = new)

##    rowid     type predicted  std.error  conf.low conf.high log_conc
## 1      1 response 0.4429568 0.04071647 0.3652634 0.5235451     1.50
## 2      2 response 0.4506406 0.04062607 0.3729178 0.5308493     1.51
## 3      3 response 0.4583480 0.04053684 0.3805961 0.5381827     1.52
## 4      4 response 0.4660754 0.04044939 0.3882935 0.5455426     1.53
## 5      5 response 0.4738191 0.04036423 0.3960050 0.5529261     1.54
## 6      6 response 0.4815754 0.04028186 0.4037257 0.5603301     1.55
## 7      7 response 0.4893406 0.04020268 0.4114509 0.5677514     1.56
## 8      8 response 0.4971110 0.04012706 0.4191760 0.5751867     1.57
## 9      9 response 0.5048827 0.04005529 0.4268962 0.5826324     1.58
## 10    10 response 0.5126521 0.03998759 0.4346071 0.5900851     1.59
## 11    11 response 0.5204154 0.03992410 0.4423044 0.5975408     1.60
## 12    12 response 0.5281689 0.03986491 0.4499840 0.6049958     1.61
## 13    13 response 0.5359087 0.03981003 0.4576417 0.6124460     1.62
## 14    14 response 0.5436313 0.03975938 0.4652737 0.6198873     1.63

The closest one of these to a probability of 0.5 is 0.4971, which goes with a log-concentration of 1.57: indeed, a bit bigger than 1.5 and a bit less than 1.63, and close to what I read off from my graph. The seq in the construction of the new data frame is “fill sequence”: go from 1.5 to 1.63 in steps of 0.01. We are predicting for values of log_conc that we chose, so the way to go is to make a new dataframe with datagrid and then feed that into predictions with newdata.

Now, of course this is only our “best guess”, like a single-number prediction in regression. There is uncertainty attached to it (because the actual logistic regression might be different from the one we estimated), so we ought to provide a confidence interval for it. But I’m riding the bus as I type this, so I can’t look it up right now.

Later: there’s a function called dose.p in MASS that appears to do this:

lethal <- dose.p(bugs.1)
lethal

##              Dose         SE
## p = 0.5: 1.573717 0.05159576

We have a sensible point estimate (the same 1.57 that we got by hand), and we have a standard error, so we can make a confidence interval by going up and down twice it (or 1.96 times it) from the estimate. The structure of the result is a bit arcane, though:

str(lethal)

##  'glm.dose' Named num 1.57
##  - attr(*, "names")= chr "p = 0.5:"
##  - attr(*, "SE")= num [1, 1] 0.0516
##   ..- attr(*, "dimnames")=List of 2
##   .. ..$ : chr "p = 0.5:"
##   .. ..$ : NULL
##  - attr(*, "p")= num 0.5

It is what R calls a “vector with attributes”. To get at the pieces and calculate the interval, we have to do something like this:

(lethal_est <- as.numeric(lethal))

## [1] 1.573717

(lethal_SE <- as.vector(attr(lethal, "SE")))

## [1] 0.05159576

and then make the interval:

lethal_est + c(-2, 2) * lethal_SE

## [1] 1.470526 1.676909

1.47 to 1.68.

I got this idea from page 4.14 of link. I think I got a little further than he did. An idea that works more generally is to get several intervals all at once, say for the “quartile lethal doses” as well:

lethal <- dose.p(bugs.1, p = c(0.25, 0.5, 0.75))
lethal

##               Dose         SE
## p = 0.25: 1.220327 0.07032465
## p = 0.50: 1.573717 0.05159576
## p = 0.75: 1.927108 0.06532356

This looks like a data frame or matrix, but is actually a “named vector”, so enframe will get at least some of this and turn it into a genuine data frame:

enframe(lethal)

## # A tibble: 3 × 2
##   name      value     
##   <chr>     <glm.dose>
## 1 p = 0.25: 1.220327  
## 2 p = 0.50: 1.573717  
## 3 p = 0.75: 1.927108

That doesn’t get the SEs, so we’ll make a new column by grabbing the “attribute” as above:

enframe(lethal) %>% mutate(SE = attr(lethal, "SE"))

## # A tibble: 3 × 3
##   name      value      SE[,1]
##   <chr>     <glm.dose>  <dbl>
## 1 p = 0.25: 1.220327   0.0703
## 2 p = 0.50: 1.573717   0.0516
## 3 p = 0.75: 1.927108   0.0653

and now we make the intervals by making new columns containing the lower and upper limits:

enframe(lethal) %>%
  mutate(SE = attr(lethal, "SE")) %>%
  mutate(LCL = value - 2 * SE, UCL = value + 2 * SE)

## # A tibble: 3 × 5
##   name      value      SE[,1] LCL[,1] UCL[,1]
##   <chr>     <glm.dose>  <dbl>   <dbl>   <dbl>
## 1 p = 0.25: 1.220327   0.0703    1.08    1.36
## 2 p = 0.50: 1.573717   0.0516    1.47    1.68
## 3 p = 0.75: 1.927108   0.0653    1.80    2.06

Now we have intervals for the median lethal dose, as well as for the doses that kill a quarter and three quarters of the aphids.

\(\blacksquare\)

26.13 The effects of Substance A

Find a way to get these data into R, and show that you have managed to do so successfully.

Solution

There’s not much data here, so we don’t need to create a file, although you can do so if you like (in the obvious way: type the doses and damaged cell numbers into a .txt file or spreadsheet and read in with the appropriate read_ function). Or, use a tribble:

dr <- tribble(
  ~dose, ~damaged,
  10, 10,
  20, 28,
  30, 53,
  40, 77,
  50, 91,
  60, 98,
  70, 99
)
dr

## # A tibble: 7 × 2
##    dose damaged
##   <dbl>   <dbl>
## 1    10      10
## 2    20      28
## 3    30      53
## 4    40      77
## 5    50      91
## 6    60      98
## 7    70      99

Or, make a data frame with the values typed in:

dr2 <- tibble(
  dose = seq(10, 70, 10),
  damaged = c(10, 28, 53, 77, 91, 98, 99)
)
dr2

## # A tibble: 7 × 2
##    dose damaged
##   <dbl>   <dbl>
## 1    10      10
## 2    20      28
## 3    30      53
## 4    40      77
## 5    50      91
## 6    60      98
## 7    70      99

seq fills a sequence “10 to 70 in steps of 10”, or you can just list the doses.

I like this better than making two columns not attached to a data frame, but that will work as well.

For these, find a way you like, and stick with it.

\(\blacksquare\)

Would you expect to see a significant effect of dose for these data? Explain briefly.

Solution

The number of damaged cells goes up sharply as the dose goes up (from a very small number to almost all of them). So I’d expect to see a strongly significant effect of dose. This is far from something that would happen by chance.

\(\blacksquare\)

Fit a logistic regression modelling the probability of a cell being damaged as it depends on dose. Display the results. (Comment on them is coming later.)

Solution

This has a bunch of observations at each dose (100 cells, in fact), so we need to do the two-column response thing: the successes in the first column and the failures in the second. This means that we first need to calculate the number of cells at each dose that were not damaged, by subtracting the number that were damaged from 100. R makes this easier than you’d think, as you see. A mutate is the way to go: create a new column in dr and save back in dr (because I like living on the edge):

dr <- dr %>% mutate(undamaged = 100 - damaged)
dr

## # A tibble: 7 × 3
##    dose damaged undamaged
##   <dbl>   <dbl>     <dbl>
## 1    10      10        90
## 2    20      28        72
## 3    30      53        47
## 4    40      77        23
## 5    50      91         9
## 6    60      98         2
## 7    70      99         1

The programmer in you is probably complaining “but, 100 is a number and damaged is a vector of 7 numbers. How does R know to subtract each one from 100?” Well, R has what’s known as “recycling rules”: if you try to add or subtract (or elementwise multiply or divide) two vectors of different lengths, it recycles the smaller one by repeating it until it’s as long as the longer one. So rather than 100-damaged giving an error, it does what you want.⁴⁰

I took the risk of saving the new data frame over the old one. If it had failed for some reason, I could have started again.

Now we have to make our response “matrix” with two columns, using cbind:

response <- with(dr, cbind(damaged, undamaged))
response

##      damaged undamaged
## [1,]      10        90
## [2,]      28        72
## [3,]      53        47
## [4,]      77        23
## [5,]      91         9
## [6,]      98         2
## [7,]      99         1

Note that each row adds up to 100, since there were 100 cells at each dose. This is actually trickier than it looks: the two things in cbind are columns (vectors), and cbind glues them together to make an R matrix:

class(response)

## [1] "matrix" "array"

which is what glm needs here, even though it looks a lot like a data frame (which wouldn’t work here). This would be a data frame:

dr %>% select(damaged, undamaged) %>% class()

## [1] "tbl_df"     "tbl"        "data.frame"

and would therefore be the wrong thing to give glm. So I had to do it with cbind, or use some other trickery, like this:

dr %>%
  select(damaged, undamaged) %>%
  as.matrix() -> resp
class(resp)

## [1] "matrix" "array"

Now we fit our model:

cells.1 <- glm(response ~ dose, family = "binomial", data = dr)
summary(cells.1)

## 
## Call:
## glm(formula = response ~ dose, family = "binomial", data = dr)
## 
## Deviance Residuals: 
##        1         2         3         4         5         6         7  
## -0.16650   0.28794  -0.02092  -0.20637  -0.21853   0.54693  -0.06122  
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -3.275364   0.278479  -11.76   <2e-16 ***
## dose         0.113323   0.008315   13.63   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 384.13349  on 6  degrees of freedom
## Residual deviance:   0.50428  on 5  degrees of freedom
## AIC: 31.725
## 
## Number of Fisher Scoring iterations: 4

\(\blacksquare\)

Does your output indicate that the probability of damage really does increase with dose? (There are two things here: is there really an effect, and which way does it go?)

Solution

The slope of dose is significantly nonzero (P-value less than \(2.2 \times 10^{-16}\), which is as small as it can be). The slope itself is positive, which means that as dose goes up, the probability of damage goes up. That’s all I needed, but if you want to press on: the slope is 0.113, so an increase of 1 in dose goes with an increase of 0.113 in the log-odds of damage. Or it multiplies the odds of damage by \(\exp(0.113)\). Since 0.113 is small, this is about \(1.113\) (mathematically, \(e^x\simeq 1+x\) if \(x\) is small), so that the increase is about 11%. If you like, you can get a rough CI for the slope by going up and down twice its standard error (this is the usual approximately-normal thing). Here that would be

0.113323 + c(-2, 2) * 0.008315

## [1] 0.096693 0.129953

I thought about doing that in my head, but thought better of it, since I have R just sitting here. The interval is short (we have lots of data) and definitely does not contain zero.

\(\blacksquare\)

Obtain predicted damage probabilities for some representative doses.

Solution

This is predictions with variables, which will do the predictions for the five-number summary of the doses (or something very like that):

predictions(cells.1, variables = "dose")

##   rowid     type predicted   std.error  conf.low conf.high dose
## 1     1 response 0.1050689 0.019252930 0.0728683 0.1492089   10
## 2     2 response 0.3911976 0.028593230 0.3367994 0.4484410   25
## 3     3 response 0.7786074 0.023138783 0.7299714 0.8206357   40
## 4     4 response 0.9506130 0.010781488 0.9246532 0.9679387   55
## 5     5 response 0.9905969 0.003207451 0.9816997 0.9951897   70

The advantage to this is that you don’t need to do the datagrid thing to specify which doses you want.

\(\blacksquare\)

Draw a graph of the predicted probabilities, and to that add the observed proportions of damage at each dose. Hints: you will have to calculate the observed proportions first. See here, near the bottom, to find out how to add data to one of these graphs. The geom_point line is the one you need.

Looking at the predicted probabilities, would you say that the model fits well? Explain briefly.

Solution

Let’s take a look at our original dataframe:

dr

## # A tibble: 7 × 3
##    dose damaged undamaged
##   <dbl>   <dbl>     <dbl>
## 1    10      10        90
## 2    20      28        72
## 3    30      53        47
## 4    40      77        23
## 5    50      91         9
## 6    60      98         2
## 7    70      99         1

To that we need to add a column of proportion damaged, which is damaged divided by damaged plus undamaged. This last ought to be 100, but data can go missing for any number of reasons, so it pays not to assume that they add up to 100 every time:

dr %>% mutate(prop = damaged / (damaged + undamaged)) -> dr2
dr2

## # A tibble: 7 × 4
##    dose damaged undamaged  prop
##   <dbl>   <dbl>     <dbl> <dbl>
## 1    10      10        90  0.1 
## 2    20      28        72  0.28
## 3    30      53        47  0.53
## 4    40      77        23  0.77
## 5    50      91         9  0.91
## 6    60      98         2  0.98
## 7    70      99         1  0.99

Check. I saved this to add to the graph later.

Here’s the graph of predicted values:

plot_cap(cells.1, condition = "dose")

The document linked in the hint says that this is an ordinary ggplot graph, so you add things to it with a plus as for any ggplot graph. That means that you can add a geom_point with a data = and an aes, except that the obvious doesn’t quite work:

plot_cap(cells.1, condition = "dose") +
  geom_point(data = dr2, aes(x =  dose, y = prop), inherit.aes = FALSE)

The message is not helpful, but I can tell you where it comes from. When you add something to a plot like this, all the things in the original ggplot (which you don’t see because it is hidden inside plot_cap) are “inherited” by anything else that you add to the plot, so that you either have to overwrite them with something new (as I did with x and y) or you get the previous values, one of which was evidently conf.low. To override this behaviour, which we don’t want because we have nothing called conf.low, add inherit.aes = FALSE to the geom_point:⁴¹

plot_cap(cells.1, condition = "dose") +
  geom_point(data = dr2, aes(x =  dose, y = prop), colour = "red", inherit.aes = FALSE)

I also made the data points red (you don’t need to, but if you want to, put the colour outside the aes, to make it clear that the colour is not determined by any of the variables in your dataframe).

The predicted probabilities ought to be close to the observed proportions. They are in fact very close to them, so the model fits very well indeed.

Your actual words are a judgement call, so precisely what you say doesn’t matter so much, but I think this model fit is actually closer than you could even hope to expect, it’s that good. But, your call. I think your answer ought to contain “close” or “fits well” at the very least.

\(\blacksquare\)

26.14 What makes an animal get infected?

Read in the data and take a look at the first few lines. Is this one animal per line, or are several animals with the same age, weight and sex (and infection status) combined onto one line? How can you tell?

Solution

The usual beginnings, bearing in mind the data layout:

my_url <- "http://ritsokiguess.site/datafiles/infection.txt"
infect <- read_tsv(my_url)

## Rows: 81 Columns: 4
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: "\t"
## chr (2): infected, sex
## dbl (2): age, weight
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.

infect

## # A tibble: 81 × 4
##    infected   age weight sex   
##    <chr>    <dbl>  <dbl> <chr> 
##  1 absent       2      1 female
##  2 absent       9     13 female
##  3 present     15      2 female
##  4 absent      15     16 female
##  5 absent      18      2 female
##  6 absent      20      9 female
##  7 absent      26     13 female
##  8 present     42      6 female
##  9 absent      51      9 female
## 10 present     52      6 female
## # … with 71 more rows

Success. This appears to be one animal per line, since there is no indication of frequency (of “how many”). If you were working as a consultant with somebody’s data, this would be a good thing to confirm with them before you went any further.

You can check a few more lines to convince yourself and the story is much the same. The other hint is that you have actual categories of response, which usually indicates one individual per row, but not always. If it doesn’t, you have some extra work to do to bash it into the right format.

Extra: let’s see whether we can come up with an example of that. I’ll make a smaller example, and perhaps the place to start is “all possible combinations” of a few things. If you haven’t seen crossing before, skip ahead to part (here):

d <- crossing(age = c(10, 12), gender = c("f", "m"), infected = c("y", "n"))
d

## # A tibble: 8 × 3
##     age gender infected
##   <dbl> <chr>  <chr>   
## 1    10 f      n       
## 2    10 f      y       
## 3    10 m      n       
## 4    10 m      y       
## 5    12 f      n       
## 6    12 f      y       
## 7    12 m      n       
## 8    12 m      y

These might be one individual per row, or they might be more than one, as they would be if we have a column of frequencies:

d <- d %>% mutate(freq = c(12, 19, 17, 11, 18, 26, 16, 8))
d

## # A tibble: 8 × 4
##     age gender infected  freq
##   <dbl> <chr>  <chr>    <dbl>
## 1    10 f      n           12
## 2    10 f      y           19
## 3    10 m      n           17
## 4    10 m      y           11
## 5    12 f      n           18
## 6    12 f      y           26
## 7    12 m      n           16
## 8    12 m      y            8

Now, these are multiple observations per row (the presence of frequencies means there’s no doubt about that), but the format is wrong: infected is my response variable, and we want the frequencies of infected being y or n in separate columns — that is, we have to untidy the data a bit to make it suitable for modelling. This is pivot_wider, the opposite of pivot_longer:

d %>% pivot_wider(names_from=infected, values_from=freq)

## # A tibble: 4 × 4
##     age gender     n     y
##   <dbl> <chr>  <dbl> <dbl>
## 1    10 f         12    19
## 2    10 m         17    11
## 3    12 f         18    26
## 4    12 m         16     8

Now you can pull out the columns y and n and make them into your response, and predict that from age and gender.

The moral of this story is that if you are going to have multiple observations per row, you probably want the combinations of explanatory variables one per row, but you want the categories of the response variable in separate columns.

Back to where we were the rest of the way.

\(\blacksquare\)

* Make suitable plots or summaries of infected against each of the other variables. (You’ll have to think about sex, um, you’ll have to think about the sex variable, because it too is categorical.) Anything sensible is OK here. You might like to think back to what we did in Question here for inspiration. (You can also investigate table, which does cross-tabulations.)

Solution

What comes to my mind for the numerical variables age and weight is boxplots:

ggplot(infect, aes(x = infected, y = age)) + geom_boxplot()

ggplot(infect, aes(x = infected, y = weight)) + geom_boxplot()

The variables sex and infected are both categorical. I guess a good plot for those would be some kind of grouped bar plot, which I have to think about. So let’s first try a numerical summary, a cross-tabulation, which is gotten via table:

with(infect, table(sex, infected))

##         infected
## sex      absent present
##   female     17      11
##   male       47       6

Or, if you like the tidyverse:

infect %>% count(sex, infected)

## # A tibble: 4 × 3
##   sex    infected     n
##   <chr>  <chr>    <int>
## 1 female absent      17
## 2 female present     11
## 3 male   absent      47
## 4 male   present      6

Now, bar plots. Let’s start with one variable. The basic bar plot has categories of a categorical variable along the \(x\)-axis and each bar is a count of how many observations were in that category. What is nice about geom_bar is that it will do the counting for you, so that the plot is just this:

ggplot(infect, aes(x = sex)) + geom_bar()

There are about twice as many males as females.

You may think that this looks like a histogram, which it almost does, but there is an important difference: the kind of variable on the \(x\)-axis. Here, it is a categorical variable, and you count how many observations fall in each category (at least, ggplot does). On a histogram, the \(x\)-axis variable is a continuous numerical one, like height or weight, and you have to chop it up into intervals (and then you count how many observations are in each chopped-up interval).

Technically, on a bar plot, the bars have a little gap between them (as here), whereas the histogram bars are right next to each other, because the right side of one histogram bar is the left side of the next.

All right, two categorical variables. The idea is that you have each bar divided into sub-bars based on the frequencies of a second variable, which is specified by fill. Here’s the basic idea:

ggplot(infect, aes(x = sex, fill = infected)) + geom_bar()

This is known in the business as a “stacked bar chart”. The issue is how much of each bar is blue, which is unnecessarily hard to judge because the male bar is taller. (Here, it is not so bad, because the amount of blue in the male bar is smaller and the bar is also taller. But we got lucky here.)

There are two ways to improve this. One is known as a “grouped bar chart”, which goes like this:

ggplot(infect, aes(x = sex, fill = infected)) +
  geom_bar(position = "dodge")

The absent and present frequencies for females are next to each other, and the same for males, and you can read off how big they are from the \(y\)-scale. This is my preferred graph for two (or more than two) categorical variables.

You could switch the roles of sex and infected and get a different chart, but one that conveys the same information. Try it. (The reason for doing it the way around I did is that being infected or not is the response and sex is explanatory, so that on my plot you can ask “out of the males, how many were infected?”, which is the way around that makes sense.)

The second way is to go back to stacked bars, but make them the same height, so you can compare the fractions of the bars that are each colour. This is position="fill":

ggplot(infect, aes(x = sex, fill = infected)) +
  geom_bar(position = "fill")

This also shows that more of the females were infected than the males, but without getting sidetracked into the issue that there were more males to begin with.

I wrote this question in early 2017. At that time, I wrote (quote):

I learned about this one approximately two hours ago. I just ordered Hadley Wickham’s new book “R for Data Science” from Amazon, and it arrived today. It’s in there. (A good read, by the way. I’m thinking of using it as a recommended text next year.) As is so often the way with ggplot, the final answer looks very simple, but there is a lot of thinking required to get there, and you end up having even more respect for Hadley Wickham for the clarity of thinking that enabled this to be specified in a simple way.

(end quote)

\(\blacksquare\)

Which, if any, of your explanatory variables appear to be related to infected? Explain briefly.

Solution

Let’s go through our output from (here). In terms of age, when infection is present, animals are (slightly) older. So there might be a small age effect. Next, when infection is present, weight is typically a lot less. So there ought to be a big weight effect. Finally, from the table, females are somewhere around 50-50 infected or not, but very few males are infected. So there ought to be a big sex effect as well. This also appears in the grouped bar plot, where the red (“absent”) bar for males is much taller than the blue (“present”) bar, but for females the two bars are almost the same height. So the story is that we would expect a significant effect of sex and weight, and maybe of age as well.

\(\blacksquare\)

Fit a logistic regression predicting infected from the other three variables. Display the summary.

Solution

Thus:

infect.1 <- glm(infected ~ age + weight + sex, family = "binomial", data = infect)

## Error in eval(family$initialize): y values must be 0 <= y <= 1

Oh, I forgot to turn infected into a factor. This is the shortcut way to do that:

infect.1 <- glm(factor(infected) ~ age + weight + sex, family = "binomial", data = infect)
summary(infect.1)

## 
## Call:
## glm(formula = factor(infected) ~ age + weight + sex, family = "binomial", 
##     data = infect)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.9481  -0.5284  -0.3120  -0.1437   2.2525  
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  0.609369   0.803288   0.759 0.448096    
## age          0.012653   0.006772   1.868 0.061701 .  
## weight      -0.227912   0.068599  -3.322 0.000893 ***
## sexmale     -1.543444   0.685681  -2.251 0.024388 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 83.234  on 80  degrees of freedom
## Residual deviance: 59.859  on 77  degrees of freedom
## AIC: 67.859
## 
## Number of Fisher Scoring iterations: 5

The “proper” way to do it is to create a new or redefined column in the data frame containing the factor version of infected. Pipeline fans among you can do it this way:

infect %>%
  mutate(infected = factor(infected)) %>%
  glm(infected ~ age + weight + sex, family = "binomial", data = .) -> infect.1a
summary(infect.1a)

## 
## Call:
## glm(formula = infected ~ age + weight + sex, family = "binomial", 
##     data = .)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.9481  -0.5284  -0.3120  -0.1437   2.2525  
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  0.609369   0.803288   0.759 0.448096    
## age          0.012653   0.006772   1.868 0.061701 .  
## weight      -0.227912   0.068599  -3.322 0.000893 ***
## sexmale     -1.543444   0.685681  -2.251 0.024388 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 83.234  on 80  degrees of freedom
## Residual deviance: 59.859  on 77  degrees of freedom
## AIC: 67.859
## 
## Number of Fisher Scoring iterations: 5

Either way is good, and gives the same answer. The second way uses the data=. trick to ensure that the input data frame to glm is the output from the previous step, the one with the factor version of infected in it. The data=. is needed because glm requires a model formula first rather than a data frame (if the data were first, you could just omit it).

\(\blacksquare\)

* Which variables, if any, would you consider removing from the model? Explain briefly.

Solution

This is the same idea as in multiple regression: look at the end of the line for each variable to get its individual P-value, and if that’s not small, you can take that variable out. age has a P-value of 0.062, which is (just) larger than 0.05, so we can consider removing this variable. The other two P-values, 0.00089 and 0.024, are definitely less than 0.05, so those variables should stay.

Alternatively, you can say that the P-value for age is small enough to be interesting, and therefore that age should stay. That’s fine, but then you need to be consistent in the next part.

You probably noted that sex is categorical. However, it has only the obvious two levels, and such a categorical variable can be assessed for significance this way. If you were worried about this, the right way to go is drop1:

drop1(infect.1, test = "Chisq")

## Single term deletions
## 
## Model:
## factor(infected) ~ age + weight + sex
##        Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>      59.859 67.859                      
## age     1   63.785 69.785  3.9268 0.0475236 *  
## weight  1   72.796 78.796 12.9373 0.0003221 ***
## sex     1   65.299 71.299  5.4405 0.0196754 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

The P-values are similar, but not identical.⁴²

I have to stop and think about this. There is a lot of theory that says there are several ways to do stuff in regression, but they are all identical. The theory doesn’t quite apply the same in generalized linear models (of which logistic regression is one): if you had an infinite sample size, the ways would all be identical, but in practice you’ll have a very finite amount of data, so they won’t agree.

I’m thinking about my aims here: I want to decide whether each \(x\)-variable should stay in the model, and for that I want a test that expresses whether the model fits significantly worse if I take it out. The result I get ought to be the same as physically removing it and comparing the models with anova, eg. for age:

infect.1b <- update(infect.1, . ~ . - age)
anova(infect.1b, infect.1, test = "Chisq")

## Analysis of Deviance Table
## 
## Model 1: factor(infected) ~ weight + sex
## Model 2: factor(infected) ~ age + weight + sex
##   Resid. Df Resid. Dev Df Deviance Pr(>Chi)  
## 1        78     63.785                       
## 2        77     59.859  1   3.9268  0.04752 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

This is the same thing as drop1 gives.

So, I think: use drop1 to assess whether anything should come out of a model like this, and use summary to obtain the slopes to interpret (in this kind of model, whether they’re positive or negative, and thus what kind of effect each explanatory variable has on the probability of whatever-it-is.)

\(\blacksquare\)

Are the conclusions you drew in (here) and (here) consistent, or not? Explain briefly.

Solution

I think they are extremely consistent. When we looked at the plots, we said that weight and sex had large effects, and they came out definitely significant. There was a small difference in age between the infected and non-infected groups, and age came out borderline significant (with a P-value definitely larger than for the other variables, so that the evidence of its usefulness was weaker).

\(\blacksquare\)

* The first and third quartiles of age are 26 and 130; the first and third quartiles of weight are 9 and 16. Obtain predicted probabilities for all combinations of these and sex. (You’ll need to start by making a new data frame, using datagrid to get all the combinations.)

Solution

Here’s how datagrid goes. Note my use of plural names to denote the things I want all combinations of:

ages <- c(26, 130)
weights <- c(9, 16)
sexes <- c("female", "male")
new <- datagrid(model = infect.1, age = ages, weight = weights, sex = sexes)
new

##    age weight    sex
## 1:  26      9 female
## 2:  26      9   male
## 3:  26     16 female
## 4:  26     16   male
## 5: 130      9 female
## 6: 130      9   male
## 7: 130     16 female
## 8: 130     16   male

This is about on the upper end of what you would want to do just using the one line with datagrid in it and putting the actual values in instead of ages, weights etc. To my mind, once it gets longer than about this long, doing on one line starts to get unwieldy. But your taste might be different than mine.

Aside:

I could have asked you to include some more values of age and weight, for example the median as well, to get a clearer picture. But that would have made infect.new bigger, so I stopped here. (If we had been happy with five representative values of age and weight, we could have done predictions (below) with variables and not had to make new at all.)

datagrid makes a data frame from input vectors, so it doesn’t matter if those are different lengths. In fact, it’s also possible to make this data frame from things like quartiles stored in a data frame. To do that, you wrap the whole datagrid in a with:

d <- tibble(age = ages, weight = weights, sex = sexes)
d

## # A tibble: 2 × 3
##     age weight sex   
##   <dbl>  <dbl> <chr> 
## 1    26      9 female
## 2   130     16 male

new <- with(d, datagrid(model = infect.1, age=age, weight=weight, sex=sex))
new

##    age weight    sex
## 1:  26      9 female
## 2:  26      9   male
## 3:  26     16 female
## 4:  26     16   male
## 5: 130      9 female
## 6: 130      9   male
## 7: 130     16 female
## 8: 130     16   male

This one is a little confusing because in eg. age = age, the first age refers to the column that will be in new, and the second one refers to the values that are going in there, namely the column called age in the dataframe d.⁴³

End of aside.

Next, the predictions:

predictions(infect.1, new)

##   rowid     type  predicted  std.error    conf.low  conf.high age weight    sex
## 1     1 response 0.24733693 0.10937479 0.094114783 0.50966507  26      9 female
## 2     2 response 0.06560117 0.04739418 0.015191414 0.24215462  26      9   male
## 3     3 response 0.06248811 0.04952622 0.012552521 0.25897472  26     16 female
## 4     4 response 0.01404012 0.01400964 0.001955298 0.09379636  26     16   male
## 5     5 response 0.55058652 0.13227922 0.300538629 0.77744105 130      9 female
## 6     6 response 0.20744380 0.08212800 0.089523915 0.41063424 130      9   male
## 7     7 response 0.19903348 0.10456894 0.064286527 0.47334206 130     16 female
## 8     8 response 0.05041244 0.03214499 0.014037457 0.16524755 130     16   male

Extra: I didn’t ask you to comment on these, since the question is long enough already. But that’s not going to stop me!

These, in predicted, are predicted probabilities of infection.⁴⁴

The way I remember the one-column-response thing is that the first level is the baseline (as it is in a regression with a categorical explanatory variable), and the second level is the one whose probability is modelled (in the same way that the second, third etc. levels of a categorical explanatory variable are the ones that appear in the summary table).

Let’s start with sex. The probabilities of a female being infected are all much higher than of a corresponding male (with the same age and weight) being infected. Compare, for example, lines 1 and 2. Or 3 and 4. Etc. So sex has a big effect.

What about weight? As weight goes from 9 to 16, with everything else the same, the predicted probability of infection goes sharply down. This is what we saw before: precisely, the boxplot showed us that infected animals were likely to be less heavy.

Last, age. As age goes up, the probabilities go (somewhat) up as well. Compare, for example, lines 1 and 5 or lines 4 and 8. I think this is a less dramatic change than for the other variables, but that’s a judgement call.

I got this example from (horrible URL warning) here: link It starts on page 275 in my edition. He goes at the analysis a different way, but he finishes with another issue that I want to show you.

Let’s work out the residuals and plot them against our quantitative explanatory variables. I think the best way to do this is augment from broom, to create a data frame containing the residuals alongside the original data:

library(broom)
infect.1a <- infect.1 %>% augment(infect)
infect.1a %>% as_tibble()

## # A tibble: 81 × 10
##    infected   age weight sex    .fitted .resid .std.resid   .hat .sigma  .cooksd
##    <chr>    <dbl>  <dbl> <chr>    <dbl>  <dbl>      <dbl>  <dbl>  <dbl>    <dbl>
##  1 absent       2      1 female   0.407 -1.35      -1.46  0.140   0.872 0.0710  
##  2 absent       9     13 female  -2.24  -0.450     -0.463 0.0544  0.886 0.00162 
##  3 present     15      2 female   0.343  1.04       1.10  0.116   0.878 0.0263  
##  4 absent      15     16 female  -2.85  -0.336     -0.343 0.0416  0.887 0.000657
##  5 absent      18      2 female   0.381 -1.34      -1.43  0.112   0.872 0.0521  
##  6 absent      20      9 female  -1.19  -0.729     -0.755 0.0678  0.883 0.00594 
##  7 absent      26     13 female  -2.02  -0.498     -0.511 0.0515  0.886 0.00189 
##  8 present     42      6 female  -0.227  1.28       1.32  0.0664  0.874 0.0239  
##  9 absent      51      9 female  -0.797 -0.863     -0.886 0.0515  0.882 0.00645 
## 10 present     52      6 female  -0.100  1.22       1.26  0.0609  0.876 0.0191  
## # … with 71 more rows

ggplot(infect.1a, aes(x = weight, y = .resid)) + geom_point() +
  geom_smooth()

## `geom_smooth()` using method = 'loess' and formula 'y ~ x'

infect.1a is, I think, a genuine data.frame rather than a tibble.

I don’t quite know what to make of that plot. It doesn’t look quite random, and yet there are just some groups of points rather than any real kind of trend.

The corresponding plot with age goes the same way:

ggplot(infect.1a, aes(x = age, y = .resid)) + geom_point() +
  geom_smooth()

## `geom_smooth()` using method = 'loess' and formula 'y ~ x'

Crawley found the slightest suggestion of an up-and-down curve in there. I’m not sure I agree, but that’s what he saw. As with a regular regression, the residuals against anything should look random, with no trends. (Though the residuals from a logistic regression can be kind of odd, because the response variable can only be 1 or 0.) Crawley tries adding squared terms to the logistic regression, which goes like this. The glm statement is long, as they usually are, so it’s much easier to use update:

infect.2 <- update(infect.1, . ~ . + I(age^2) + I(weight^2))

As we saw before, when thinking about what to keep, we want to look at drop1:

drop1(infect.2, test = "Chisq")

## Single term deletions
## 
## Model:
## factor(infected) ~ age + weight + sex + I(age^2) + I(weight^2)
##             Df Deviance    AIC    LRT Pr(>Chi)   
## <none>           48.620 60.620                   
## age          1   57.631 67.631 9.0102 0.002685 **
## weight       1   50.443 60.443 1.8222 0.177054   
## sex          1   51.298 61.298 2.6771 0.101800   
## I(age^2)     1   55.274 65.274 6.6534 0.009896 **
## I(weight^2)  1   53.091 63.091 4.4710 0.034474 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

The squared terms are both significant. The linear terms, age and weight, have to stay, regardless of their significance.⁴⁵ What do the squared terms do to the predictions? Before, there was a clear one-directional trend in the relationships with age and weight. Has that changed? Let’s see. We’ll need a few more ages and weights to investigate with. I think the set of five representative values that comes out of predictions with variables would be ideal (and saves us having to make another new).

Let’s start by assessing the effect of age:

predictions(infect.2, variables = "age") %>% 
  select(predicted, age, weight, sex)

##     predicted age   weight  sex
## 1 0.007131192   1 11.49383 male
## 2 0.041754400  26 11.49383 male
## 3 0.302085217  87 11.49383 male
## 4 0.266655966 130 11.49383 male
## 5 0.007067575 206 11.49383 male

The actual values of age chosen by predictions are as shown. The other columns are constant; the values are the mean weight and the more common sex. We really can see the effect of age with all else constant.

Here, the predicted infection probabilities go up with age and then come down again, as a squared term in age will allow them to do, compared to what we had before:

predictions(infect.1, variables = "age") %>% 
  select(predicted, age, weight, sex)

##    predicted age   weight  sex
## 1 0.02816769   1 11.49383 male
## 2 0.03824731  26 11.49383 male
## 3 0.07923009  87 11.49383 male
## 4 0.12911830 130 11.49383 male
## 5 0.27945778 206 11.49383 male

where the probabilities keep on going up.

All right, what about the effect of weight? Here’s the first model:

predictions(infect.1, variables = "weight") %>% 
  select(predicted, age, weight, sex)

##    predicted      age weight  sex
## 1 0.47414476 83.65432      1 male
## 2 0.12710380 83.65432      9 male
## 3 0.05528079 83.65432     13 male
## 4 0.02868715 83.65432     16 male
## 5 0.01837850 83.65432     18 male

and here’s the second one with squared terms:

predictions(infect.2, variables = "weight") %>% 
  select(predicted, age, weight, sex)

##     predicted      age weight  sex
## 1 0.467503909 83.65432      1 male
## 2 0.530421599 83.65432      9 male
## 3 0.148707526 83.65432     13 male
## 4 0.017697062 83.65432     16 male
## 5 0.002609162 83.65432     18 male

This one is not so dissimilar: in the linear model, the predicted probabilities of infection start high and go down, but in the model with squared terms they go slightly up before going down.

We couldn’t have a squared term in sex, since there are only two sexes (in this data set), so the predictions ought to be pretty similar for the two models:

predictions(infect.1, variables = "sex") %>% 
  select(predicted, age, weight, sex)

##   predicted      age   weight    sex
## 1 0.2785344 83.65432 11.49383 female
## 2 0.0761963 83.65432 11.49383   male

and

predictions(infect.2, variables = "sex") %>% 
  select(predicted, age, weight, sex)

##   predicted      age   weight    sex
## 1 0.5828251 83.65432 11.49383 female
## 2 0.2919387 83.65432 11.49383   male

They are actually quite different. For the model with squared terms in age and weight, the predicted probabilities of infection are a lot higher for both males and females, at least at these (mean) ages and weights.

\(\blacksquare\)

26.15 The brain of a cat

“cosmetic”: testing the toxicity of chemicals to be used in new lines of hair care products.
“theory”: evaluating two competing theories about the function of a particular nucleus in the brain.
“meat”: testing a synthetic growth hormone said to potentially increase meat production.
“veterinary”: attempting to find a cure for a brain disease that is killing domesticated cats and endangered species of wild cats.
“medical”: evaluating a potential cure for a debilitating disease that afflicts many young adult humans.

After being exposed to all of that, each student stated their decision about whether the research should continue or stop.

I should perhaps stress at this point that no actual cats were harmed in the collection of these data (which can be found as a .csv file at link). The variables in the data set are these:

decision: whether the research should continue or stop (response)
idealism: score on idealism questionnaire
relativism: score on relativism questionnaire
gender of student
scenario of research benefits that the student read.

A more detailed discussion^(“[If you can believe it.] of this study is at link.

Read in the data and check by looking at the structure of your data frame that you have something sensible. Do not call your data frame decision, since that’s the name of one of the variables in it.

Solution

So, like this, using the name decide in my case:

my_url <- "https://raw.githubusercontent.com/nxskok/datafiles/master/decision.csv"
decide <- read_csv(my_url)

## Rows: 315 Columns: 5
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (3): decision, gender, scenario
## dbl (2): idealism, relativism
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.

decide

## # A tibble: 315 × 5
##    decision idealism relativism gender scenario
##    <chr>       <dbl>      <dbl> <chr>  <chr>   
##  1 stop          8.2        5.1 Female cosmetic
##  2 continue      6.8        5.3 Male   cosmetic
##  3 continue      8.2        6   Female cosmetic
##  4 stop          7.4        6.2 Female cosmetic
##  5 continue      1.7        3.1 Female cosmetic
##  6 continue      5.6        7.7 Male   cosmetic
##  7 stop          7.2        6.7 Female cosmetic
##  8 stop          7.8        4   Male   cosmetic
##  9 stop          7.8        4.7 Female cosmetic
## 10 stop          8          7.6 Female cosmetic
## # … with 305 more rows

The variables are all the right things and of the right types: the decision, gender and the scenario are all text (representing categorical variables), and idealism and relativism, which were scores on a test, are quantitative (numerical). There are, as promised, 315 observations.

\(\blacksquare\)

Fit a logistic regression predicting decision from gender. Is there an effect of gender?

Solution

Turn the response into a factor somehow, either by creating a new variable in the data frame or like this:

decide.1 <- glm(factor(decision) ~ gender, data = decide, family = "binomial")
summary(decide.1)

## 
## Call:
## glm(formula = factor(decision) ~ gender, family = "binomial", 
##     data = decide)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.5518  -1.0251   0.8446   0.8446   1.3377  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)   0.8473     0.1543   5.491 3.99e-08 ***
## genderMale   -1.2167     0.2445  -4.976 6.50e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 425.57  on 314  degrees of freedom
## Residual deviance: 399.91  on 313  degrees of freedom
## AIC: 403.91
## 
## Number of Fisher Scoring iterations: 4

The P-value for gender is \(6.5 \times 10^{-7}\), which is very small, so there is definitely an effect of gender. It’s not immediately clear what kind of effect it is: that’s the reason for the next part, and we’ll revisit this slope coefficient in a moment. Categorical explanatory variables are perfectly all right as text. Should I have used drop1 to assess the significance? Maybe:

drop1(decide.1, test = "Chisq")

## Single term deletions
## 
## Model:
## factor(decision) ~ gender
##        Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>      399.91 403.91                     
## gender  1   425.57 427.57 25.653 4.086e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

The thing is, this gives us a P-value but not a slope, which we might have wanted to try to interpret. Also, the P-value in summary is so small that it is likely to be still significant in drop1 as well.

\(\blacksquare\)

To investigate the effect (or non-effect) of gender, create a contingency table by feeding decision and gender into table. What does this tell you?

Solution

with(decide, table(decision, gender))

##           gender
## decision   Female Male
##   continue     60   68
##   stop        140   47

Females are more likely to say that the study should stop (a clear majority), while males are more evenly split, with a small majority in favour of the study continuing.

If you want the column percents as well, you can use prop.table. Two steps: save the table from above into a variable, then feed that into prop.table, calling for column percentages rather than row percentages:

tab <- with(decide, table(decision, gender))
prop.table(tab, 2)

##           gender
## decision      Female      Male
##   continue 0.3000000 0.5913043
##   stop     0.7000000 0.4086957

Why column percentages? Well, thinking back to STAB22 or some such place, when one of your variables is acting like a response or outcome (decision here), make the percentages out of the other one. Given that a student is a female, how likely are they to call for the research to stop? The other way around makes less sense: given that a person wanted the research to stop, how likely are they to be female?

About 70% of females and 40% of males want the research to stop. That’s a giant-sized difference. No wonder it was significant.

The other way of making the table is to use xtabs, with the same result:

xtabs(~ decision + gender, data = decide)

##           gender
## decision   Female Male
##   continue     60   68
##   stop        140   47

In this one, the frequency variable goes on the left side of the squiggle. We don’t have one here (each row of the data frame represents one student), so we leave the left side blank. I tried putting a . there, but that doesn’t work since there is no “whatever was there before” as there is, for example, in update.

\(\blacksquare\)

* Is your slope for gender in the previous logistic regression positive or negative? Is it applying to males or to females? Looking at the conclusions from your contingency table, what probability does that mean your logistic regression is actually modelling?

Solution

My slope is \(-1.2167\), negative, and it is attached to males (note that the slope is called gendermale: because “female” is before “male” alphabetically, females are used as the baseline and this slope says how males compare to them). This negative male coefficient means that the probability of whatever is being modelled is less for males than it is for females. Looking at the contingency table for the last part, the probability of “stop” should be less for males, so the logistic regression is actually modelling the probability of “stop”. Another way to reason that this must be the right answer is that the two values of decision are continue and stop; continue is first alphabetically, so it’s the baseline, and the other one, stop, is the one whose probability is being modelled. That’s why I made you do that contingency table. Another way to think about this is to do a prediction, which would go like this:

predictions(decide.1, variables = "gender")

##   rowid     type predicted  std.error  conf.low conf.high decision gender
## 1     1 response 0.7000000 0.03240369 0.6329443 0.7594610     stop Female
## 2     2 response 0.4086957 0.04584127 0.3227535 0.5006066     stop   Male

The probability of whatever-it-is is exactly 70% for females and about 40% for males. A quick look at the contingency table shows that exactly 70% (\(140/200\)) of the females think the research should stop, and a bit less than 50% of the males think the same thing. So the model is predicting the probability of “stop”.

There’s a logic to this: it’s not just this way “because it is”. It’s the same idea of the first category, now of the response factor, being a “baseline”, and what actually gets modelled is the second category, relative to the baseline.

\(\blacksquare\)

Add the two variables idealism and relativism to your logistic regression. Do either or both of them add significantly to your model? Explain briefly.

Solution

The obvious way of doing this is to type out the entire model, with the two new variables on the end. You have to remember to turn decision into a factor again:

decide.2 <- glm(factor(decision) ~ gender + idealism + relativism,
  data = decide, family = "binomial"
)
summary(decide.2)

## 
## Call:
## glm(formula = factor(decision) ~ gender + idealism + relativism, 
##     family = "binomial", data = decide)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.2226  -0.9891   0.4798   0.8748   2.0442  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  -1.4876     0.9787  -1.520  0.12849    
## genderMale   -1.1710     0.2679  -4.372 1.23e-05 ***
## idealism      0.6893     0.1115   6.180 6.41e-10 ***
## relativism   -0.3432     0.1245  -2.757  0.00584 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 425.57  on 314  degrees of freedom
## Residual deviance: 346.50  on 311  degrees of freedom
## AIC: 354.5
## 
## Number of Fisher Scoring iterations: 4

This is not so bad, copying and pasting. But the way I like better, when you’re making a smallish change to a longish model, is to use update:

decide.2 <- update(decide.1, . ~ . + idealism + relativism)
summary(decide.2)

## 
## Call:
## glm(formula = factor(decision) ~ gender + idealism + relativism, 
##     family = "binomial", data = decide)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.2226  -0.9891   0.4798   0.8748   2.0442  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  -1.4876     0.9787  -1.520  0.12849    
## genderMale   -1.1710     0.2679  -4.372 1.23e-05 ***
## idealism      0.6893     0.1115   6.180 6.41e-10 ***
## relativism   -0.3432     0.1245  -2.757  0.00584 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 425.57  on 314  degrees of freedom
## Residual deviance: 346.50  on 311  degrees of freedom
## AIC: 354.5
## 
## Number of Fisher Scoring iterations: 4

Either way is good. The conclusion you need to draw is that they both have something to add, because their P-values are both less than 0.05.

Or (and perhaps better) you can look at drop1 of either of these:

drop1(decide.2, test = "Chisq")

## Single term deletions
## 
## Model:
## factor(decision) ~ gender + idealism + relativism
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          346.50 354.50                     
## gender      1   366.27 372.27 19.770 8.734e-06 ***
## idealism    1   393.22 399.22 46.720 8.188e-12 ***
## relativism  1   354.46 360.46  7.956  0.004792 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

\(\blacksquare\)

Add the variable scenario to your model. That is, fit a new model with that variable plus all the others.

Solution

To my mind, update wins hands down here:

decide.3 <- update(decide.2, . ~ . + scenario)

You can display the summary here if you like, but we’re not going to look at it yet.

\(\blacksquare\)

Use anova to compare the models with and without scenario. You’ll have to add a test="Chisq" to your anova, to make sure that the test gets done. Does scenario make a difference or not, at \(\alpha=0.10\)? Explain briefly. (The reason we have to do it this way is that scenario is a factor with five levels, so it has four slope coefficients. To test them all at once, which is what we need to make an overall test for scenario, this is the way it has to be done.)

Solution

These are the models that you fit in the last two parts:

anova(decide.2, decide.3, test = "Chisq")

## Analysis of Deviance Table
## 
## Model 1: factor(decision) ~ gender + idealism + relativism
## Model 2: factor(decision) ~ gender + idealism + relativism + scenario
##   Resid. Df Resid. Dev Df Deviance Pr(>Chi)  
## 1       311     346.50                       
## 2       307     338.06  4   8.4431  0.07663 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

The P-value is not less than 0.05, but it is less than 0.10, which is what I implied to assess it with, so the scenario does make some kind of difference.

Extra: another way to do this, which I like better (but the anova way was what I asked in the original question), is to look at decide.3 and ask “what can I get rid of”, in such a way that categorical variables stay or go as a whole. This is done using drop1. It’s a little different from the corresponding thing in regression because the right way to do the test is not an F test, but now a chi-squared test (this is true for all generalized linear models of which logistic regression is one):

drop1(decide.3, test = "Chisq")

## Single term deletions
## 
## Model:
## factor(decision) ~ gender + idealism + relativism + scenario
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          338.06 354.06                     
## gender      1   359.61 373.61 21.546 3.454e-06 ***
## idealism    1   384.40 398.40 46.340 9.943e-12 ***
## relativism  1   344.97 358.97  6.911  0.008567 ** 
## scenario    4   346.50 354.50  8.443  0.076630 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

The test for scenario has four degrees of freedom (since there are five scenarios), and is in fact exactly the same test as in anova, significant at \(\alpha=0.10\).

\(\blacksquare\)

Look at the summary of your model that contained scenario. Bearing in mind that the slope coefficient for scenariocosmetic is zero (since this is the first scenario alphabetically), which scenarios have the most positive and most negative slope coefficients? What does that tell you about those scenarios’ effects?

Solution

All right. This is the model I called decide.3:

summary(decide.3)

## 
## Call:
## glm(formula = factor(decision) ~ gender + idealism + relativism + 
##     scenario, family = "binomial", data = decide)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.3350  -0.9402   0.4645   0.8266   2.1564  
## 
## Coefficients:
##                    Estimate Std. Error z value Pr(>|z|)    
## (Intercept)         -1.5694     1.0426  -1.505   0.1322    
## genderMale          -1.2551     0.2766  -4.537 5.70e-06 ***
## idealism             0.7012     0.1139   6.156 7.48e-10 ***
## relativism          -0.3264     0.1267  -2.576   0.0100 *  
## scenariomeat         0.1565     0.4283   0.365   0.7149    
## scenariomedical     -0.7095     0.4202  -1.688   0.0914 .  
## scenariotheory       0.4501     0.4271   1.054   0.2919    
## scenarioveterinary  -0.1672     0.4159  -0.402   0.6878    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 425.57  on 314  degrees of freedom
## Residual deviance: 338.06  on 307  degrees of freedom
## AIC: 354.06
## 
## Number of Fisher Scoring iterations: 4

The most positive coefficient is for theory and the most negative one is for medical. (The zero coefficient is in the middle.) Since we are modelling the probability of saying that the research should stop (part (here)), this means that:

the “theory” scenario (evaluating theories about brain function) is most likely to lead to someone saying that the research should stop (other things being equal)
the “medical” scenario (finding a cure for a human disease) is most likely to lead to someone saying that the research should continue (or least likely to say that it should stop), again, other things being equal.

These make some kind of sense because being exposed to a scenario where there are tangible benefits later ought to be most favourable to the research continuing, and people are not going to be impressed by something that is “only theoretical” without any clear benefits.

We can also tackle this by doing some predictions. We want all the categories for scenario, and we might as well use average values for everything else:

predictions(decide.3, variables = "scenario")

##   rowid     type predicted  std.error decision gender idealism relativism
## 1     1 response 0.7326745 0.06450951     stop Female 6.493069   6.050511
## 2     2 response 0.8112833 0.05175781     stop Female 6.493069   6.050511
## 3     3 response 0.7621838 0.05919027     stop Female 6.493069   6.050511
## 4     4 response 0.6986930 0.06396387     stop Female 6.493069   6.050511
## 5     5 response 0.5741364 0.07379750     stop Female 6.493069   6.050511
##     scenario
## 1   cosmetic
## 2     theory
## 3       meat
## 4 veterinary
## 5    medical

The scenarios are over on the right, and the values of the other variables are the same all the way down (means for the quantitative ones, the most common category for the categorical ones). Having checked that this is indeed the case, we really only need the predictions and the scenarios:

predictions(decide.3, variables = "scenario") %>% 
  select(predicted, scenario)

##   predicted   scenario
## 1 0.7326745   cosmetic
## 2 0.8112833     theory
## 3 0.7621838       meat
## 4 0.6986930 veterinary
## 5 0.5741364    medical

This echoes what we found before: the probability of saying that the research should stop is highest for “theory” and the lowest for “medical”.

I assumed in my model that the effect of the scenarios was the same for males and females. If I wanted to test that, I’d have to add an interaction and test that. This works most nicely using update and then anova, to fit the model with interaction and compare it with the model without:

decide.4 <- update(decide.3, . ~ . + gender * scenario)
anova(decide.3, decide.4, test = "Chisq")

## Analysis of Deviance Table
## 
## Model 1: factor(decision) ~ gender + idealism + relativism + scenario
## Model 2: factor(decision) ~ gender + idealism + relativism + scenario + 
##     gender:scenario
##   Resid. Df Resid. Dev Df Deviance Pr(>Chi)
## 1       307     338.06                     
## 2       303     337.05  4   1.0122   0.9079

No evidence at all that the scenarios have different effects for the different genders. The appropriate predictions should show that too:

predictions(decide.4, variables = c("gender", "scenario")) %>% 
  select(predicted, gender, scenario)

##    predicted gender   scenario
## 1  0.7690962 Female   cosmetic
## 2  0.8268276 Female     theory
## 3  0.7313307 Female       meat
## 4  0.6933105 Female veterinary
## 5  0.5694722 Female    medical
## 6  0.3956503   Male   cosmetic
## 7  0.5266465   Male     theory
## 8  0.5467668   Male       meat
## 9  0.4115743   Male veterinary
## 10 0.2884441   Male    medical

The predicted probabilities that the experiment should be stopped are a lot lower for males than females across the board (this is the strongly significant gender effect). But, given that, the probability for medical is the lowest for both males and females, and the probability for theory is the highest for females and almost the highest for males. (The pattern for males and females is similar enough to suggest that there should be no interaction.)

So fitting an interaction was a waste of time, but it was worth checking whether it was.

\(\blacksquare\)

Describe the effects that having (i) a higher idealism score and (ii) a higher relativity score have on a person’s probability of saying that the research should stop. Do each of these increase or decrease that probability? Explain briefly.

Solution

Look back at the summary for the model that I called decide.3. (Or decide.2: the slope coefficients are very similar.) The one for idealism is positive, so that a higher idealism score goes with a greater likelihood of saying that the research should stop. The slope coefficient for relativity is negative, so it’s the other way around: a higher relativity score goes with a lower chance of saying that the research should stop. That’s all I needed, but as an extra, we can look back at the description of these scales in the question. The relativism one was that a person believed that the most moral action depends on the situation (as opposed to a person having something like religious faith that asserts universal moral principles that are always true. That would be a low score on the relativism scale). Somebody with a low score on this scale might believe something like “it is always wrong to experiment on animals”, whereas somebody with a high relativism score might say that it was sometimes justified. Thus, other things being equal, a low relativism score would go with “stop” and a high relativism score would (or might) go with “continue”. This would mean a negative slope coefficient for relativism, which is what we observed. (Are you still with me? There was some careful thinking there.)

What about idealism? This is a belief that ethical behaviour will always lead to good consequences, and thus, if the consequences are bad, the behaviour must not have been ethical. A person who scores high on idealism is likely to look at the consequences (experimentation on animals), see that as a bad thing, and thus conclude that the research should be stopped. The idealism slope coefficient, by that argument, should be positive, and is.

This can also be done by a prediction. In the light of what we have done before, the suggestion is this:

predictions(decide.3, variables = c("idealism", "relativism"))

##    rowid     type predicted   std.error decision gender scenario idealism
## 1      1 response 0.2810605 0.134375876     stop Female   theory      1.7
## 2      2 response 0.1557773 0.077986309     stop Female   theory      1.7
## 3      3 response 0.1280303 0.066781450     stop Female   theory      1.7
## 4      4 response 0.1046132 0.057724659     stop Female   theory      1.7
## 5      5 response 0.0555939 0.038588931     stop Female   theory      1.7
## 6      6 response 0.8575774 0.060973672     stop Female   theory      5.6
## 7      7 response 0.7397234 0.066703085     stop Female   theory      5.6
## 8      8 response 0.6933936 0.071915240     stop Female   theory      5.6
## 9      9 response 0.6427991 0.081035981     stop Female   theory      5.6
## 10    10 response 0.4755290 0.124569197     stop Female   theory      5.6
## 11    11 response 0.9188152 0.038086005     stop Female   theory      6.5
## 12    12 response 0.8423177 0.046507174     stop Female   theory      6.5
## 13    13 response 0.8095480 0.052124205     stop Female   theory      6.5
## 14    14 response 0.7718131 0.061442503     stop Female   theory      6.5
## 15    15 response 0.6302014 0.113791659     stop Female   theory      6.5
## 16    16 response 0.9580136 0.021959587     stop Female   theory      7.5
## 17    17 response 0.9150358 0.030119415     stop Female   theory      7.5
## 18    18 response 0.8955037 0.034858143     stop Female   theory      7.5
## 19    19 response 0.8721090 0.042201685     stop Female   theory      7.5
## 20    20 response 0.7745598 0.087442390     stop Female   theory      7.5
## 21    21 response 0.9849209 0.009424086     stop Female   theory      9.0
## 22    22 response 0.9685826 0.014903549     stop Female   theory      9.0
## 23    23 response 0.9608333 0.017812056     stop Female   theory      9.0
## 24    24 response 0.9512687 0.021935595     stop Female   theory      9.0
## 25    25 response 0.9077091 0.047234321     stop Female   theory      9.0
##    relativism
## 1         3.1
## 2         5.4
## 3         6.1
## 4         6.8
## 5         8.9
## 6         3.1
## 7         5.4
## 8         6.1
## 9         6.8
## 10        8.9
## 11        3.1
## 12        5.4
## 13        6.1
## 14        6.8
## 15        8.9
## 16        3.1
## 17        5.4
## 18        6.1
## 19        6.8
## 20        8.9
## 21        3.1
## 22        5.4
## 23        6.1
## 24        6.8
## 25        8.9

except that there are 5 representative values for each variable, and all the combinations of those, so 25 rows, a lot to get your head around. We can supply two custom values for each variable, and then we’ll only get four combinations, for example like this:

summary(decide)

##    decision            idealism       relativism       gender         
##  Length:315         Min.   :1.700   Min.   :3.100   Length:315        
##  Class :character   1st Qu.:5.600   1st Qu.:5.400   Class :character  
##  Mode  :character   Median :6.500   Median :6.100   Mode  :character  
##                     Mean   :6.493   Mean   :6.051                     
##                     3rd Qu.:7.500   3rd Qu.:6.800                     
##                     Max.   :9.000   Max.   :8.900                     
##    scenario        
##  Length:315        
##  Class :character  
##  Mode  :character  
##                    
##                    
##

The quartiles for idealism are 5.6 and 7.5, and for relativism are 5.4 and 6.8, so we can use datagrid to construct a dataframe to predict from:

new <- datagrid(model = decide.3, idealism = c(5.6, 7.5), relativism = c(5.4, 6.8))
new

##    gender scenario idealism relativism
## 1: Female   theory      5.6        5.4
## 2: Female   theory      5.6        6.8
## 3: Female   theory      7.5        5.4
## 4: Female   theory      7.5        6.8

The most common categories Female and theory were used for the other variables:

predictions(decide.3, newdata = new)

##   rowid     type predicted  std.error gender scenario idealism relativism
## 1     1 response 0.7397234 0.06670309 Female   theory      5.6        5.4
## 2     2 response 0.6427991 0.08103598 Female   theory      5.6        6.8
## 3     3 response 0.9150358 0.03011941 Female   theory      7.5        5.4
## 4     4 response 0.8721090 0.04220168 Female   theory      7.5        6.8

For both of the idealism scores, the higher relativism score went with a lower probability of “stop” (the “negative” effect), and for both of the relativism scores, the higher idealism score went with a higher probability of “stop” (the positive effect).

Yet another way to assess this would be to make a graph:

plot_cap(decide.3, condition = c("relativism", "idealism"))

The story from here is the same: as relativism increases (move from left to right), the probability of stop decreases, but as idealism increases (from the red line up to the purple one), the probability of stop increases.

That’s quite enough discussion of the question, except that the data didn’t come to me in the form that you see them, so I figured I would like to share the story of the data processing as well. I think this is important because in your future work you are likely to spend a lot of your time getting data from how you receive it to something suitable for analysis.

These data came from a psychology study (with, probably, the students in a class serving as experimental subjects). Social scientists like to use SPSS software, so the data came to me as an SPSS .sav file.⁴⁷ The least-fuss way of handling this that I could think of was to use import from the rio package, which I think I mentioned before:

library(rio)
x <- import("/home/ken/Downloads/Logistic.sav")
str(x)

## 'data.frame':    315 obs. of  11 variables:
##  $ decision   : num  0 1 1 0 1 1 0 0 0 0 ...
##   ..- attr(*, "format.spss")= chr "F1.0"
##   ..- attr(*, "labels")= Named num [1:2] 0 1
##   .. ..- attr(*, "names")= chr [1:2] "stop" "continue"
##  $ idealism   : num  8.2 6.8 8.2 7.4 1.7 5.6 7.2 7.8 7.8 8 ...
##   ..- attr(*, "format.spss")= chr "F12.4"
##  $ relatvsm   : num  5.1 5.3 6 6.2 3.1 7.7 6.7 4 4.7 7.6 ...
##   ..- attr(*, "format.spss")= chr "F12.4"
##  $ gender     : num  0 1 0 0 0 1 0 1 0 0 ...
##   ..- attr(*, "format.spss")= chr "F1.0"
##   ..- attr(*, "labels")= Named num [1:2] 0 1
##   .. ..- attr(*, "names")= chr [1:2] "Female" "Male"
##  $ cosmetic   : num  1 1 1 1 1 1 1 1 1 1 ...
##   ..- attr(*, "format.spss")= chr "F1.0"
##  $ theory     : num  0 0 0 0 0 0 0 0 0 0 ...
##   ..- attr(*, "format.spss")= chr "F1.0"
##  $ meat       : num  0 0 0 0 0 0 0 0 0 0 ...
##   ..- attr(*, "format.spss")= chr "F1.0"
##  $ veterin    : num  0 0 0 0 0 0 0 0 0 0 ...
##   ..- attr(*, "format.spss")= chr "F1.0"
##  $ idealism_LN: num  2.104 1.917 2.104 2.001 0.531 ...
##   ..- attr(*, "format.spss")= chr "F8.2"
##   ..- attr(*, "display_width")= int 13
##  $ relatvsm_LN: num  1.63 1.67 1.79 1.82 1.13 ...
##   ..- attr(*, "format.spss")= chr "F8.2"
##   ..- attr(*, "display_width")= int 13
##  $ scenario   : num  1 1 1 1 1 1 1 1 1 1 ...
##   ..- attr(*, "format.spss")= chr "F8.2"
##   ..- attr(*, "display_width")= int 10

The last line str displays the “structure” of the data frame that was obtained. Normally a data frame read into R has a much simpler structure than this, but this is R trying to interpret how SPSS does things. Here, each column (listed on the lines beginning with a dollar sign) has some values, listed after num; they are all numeric, even the categorical ones. What happened to the categorical variables is that they got turned into numbers, and they have a names “attribute” further down that says what those numbers actually represent. Thus, on the gender line, the subjects are a female (0), then a male (1), then three females, then a male, and so on. Variables like gender are thus so far neither really factors nor text variables, and so we’ll have to do a bit of processing before we can use them: we want to replace the numerical values by the appropriate “level”.

To turn a numeric variable into text depending on the value, we can use ifelse, but this gets unwieldy if there are more than two values to translate. For that kind of job, I think case_when is a lot easier to read. It also lets us have a catch-all for catching errors — “impossible” values occur distressingly often in real data:

xx <- x %>%
  mutate(
    decision = case_when(
      decision == 0 ~ "stop",
      decision == 1 ~ "continue",
      TRUE ~ "error"
    ),
    gender = case_when(
      gender == 0 ~ "Female",
      gender == 1 ~ "Male",
      TRUE ~ "error"
    ),
    scenario = case_when(
      scenario == 1 ~ "cosmetic",
      scenario == 2 ~ "theory",
      scenario == 3 ~ "meat",
      scenario == 4 ~ "veterinary",
      scenario == 5 ~ "medical",
      TRUE ~ "error"
    )
  )
xx %>% as_tibble() %>% select(-(cosmetic:veterin))

## # A tibble: 315 × 7
##    decision idealism relatvsm gender idealism_LN relatvsm_LN scenario
##    <chr>       <dbl>    <dbl> <chr>        <dbl>       <dbl> <chr>   
##  1 stop          8.2      5.1 Female       2.10         1.63 cosmetic
##  2 continue      6.8      5.3 Male         1.92         1.67 cosmetic
##  3 continue      8.2      6   Female       2.10         1.79 cosmetic
##  4 stop          7.4      6.2 Female       2.00         1.82 cosmetic
##  5 continue      1.7      3.1 Female       0.531        1.13 cosmetic
##  6 continue      5.6      7.7 Male         1.72         2.04 cosmetic
##  7 stop          7.2      6.7 Female       1.97         1.90 cosmetic
##  8 stop          7.8      4   Male         2.05         1.39 cosmetic
##  9 stop          7.8      4.7 Female       2.05         1.55 cosmetic
## 10 stop          8        7.6 Female       2.08         2.03 cosmetic
## # … with 305 more rows

xx is a “real” data.frame (that’s what rio reads in), and has some extra columns that we don’t want to see right now.

I have three new variables being created in one mutate. Each is being created using a case_when. The thing on the left of each squiggle is a logical condition being tested; the first of these logical conditions to come out TRUE provides the value for the new variable on the right of the squiggle. Thus, if the (old) scenario is 2, the new scenario will be theory. The TRUE lines in each case provide something that is guaranteed to be true, even if all the other lines are false (eg. if scenario is actually recorded as 7, which would be an error).

I overwrote the old variable values with the new ones, which is a bit risky, but then I’d have more things to get rid of later.

My next step is to check that I don’t actually have any errors:

xx %>% count(scenario, gender, decision)

##      scenario gender decision  n
## 1    cosmetic Female continue  8
## 2    cosmetic Female     stop 26
## 3    cosmetic   Male continue 17
## 4    cosmetic   Male     stop 11
## 5        meat Female continue 11
## 6        meat Female     stop 31
## 7        meat   Male continue 12
## 8        meat   Male     stop  9
## 9     medical Female continue 19
## 10    medical Female     stop 24
## 11    medical   Male continue 15
## 12    medical   Male     stop  5
## 13     theory Female continue  8
## 14     theory Female     stop 30
## 15     theory   Male continue 12
## 16     theory   Male     stop 14
## 17 veterinary Female continue 14
## 18 veterinary Female     stop 29
## 19 veterinary   Male continue 12
## 20 veterinary   Male     stop  8

Don’t see any errors there.

So now let’s write what we have to a file. I think a .csv would be smart:

xx %>%
  select(decision, idealism, relatvsm, gender, scenario) %>%
  write_csv("decision.csv")

There is one more tiny detail: in SPSS, variable names can have a maximum of eight letters. “Relativism” has 10. So the original data file had the name “relativism” minus the two “i”s. I changed that so you would be dealing with a proper English word. (That change is not shown here.)

There is actually a town called Catbrain. It’s in England, near Bristol, and seems to be home to a street of car dealerships. One of the questions in the chapter on making maps asks you to find out where it is exactly.

\(\blacksquare\)

26.16 How not to get heart disease

What is associated with heart disease? In a study, a large number of variables were measured, as follows:

age (years)
sex male or female
pain.type Chest pain type (4 values: typical angina, atypical angina, non-anginal pain, asymptomatic)
resting.bp Resting blood pressure, on admission to hospital
serum.chol Serum cholesterol
high.blood.sugar: greater than 120, yes or no
electro resting electrocardiographic results (normal, having ST-T, hypertrophy)
max.hr Maximum heart rate
angina Exercise induced angina (yes or no)
oldpeak ST depression induced by exercise relative to rest. See link.
slope Slope of peak exercise ST segment. Sloping up, flat or sloping down
colored number of major vessels (0–3) coloured by fluoroscopy
thal normal, fixed defect, reversible defect
heart.disease yes, no (response)

Read in the data. Display the first few lines and convince yourself that those values are reasonable.

Solution

A .csv file, so:

my_url <- "https://raw.githubusercontent.com/nxskok/datafiles/master/heartf.csv"
heart <- read_csv(my_url)

## New names:
## Rows: 270 Columns: 15
## ── Column specification
## ──────────────────────────────────────────────────────── Delimiter: "," chr
## (8): sex, pain.type, high.blood.sugar, electro, angina, slope, thal, hea... dbl
## (7): ...1, age, resting.bp, serum.chol, max.hr, oldpeak, colored
## ℹ Use `spec()` to retrieve the full column specification for this data. ℹ
## Specify the column types or set `show_col_types = FALSE` to quiet this message.
## • `` -> `...1`

heart

## # A tibble: 270 × 15
##     ...1   age sex    pain.type   resting.bp serum.chol high.blood.sugar electro
##    <dbl> <dbl> <chr>  <chr>            <dbl>      <dbl> <chr>            <chr>  
##  1     1    70 male   asymptomat…        130        322 no               hypert…
##  2     2    67 female nonanginal         115        564 no               hypert…
##  3     3    57 male   atypical           124        261 no               normal 
##  4     4    64 male   asymptomat…        128        263 no               normal 
##  5     5    74 female atypical           120        269 no               hypert…
##  6     6    65 male   asymptomat…        120        177 no               normal 
##  7     7    56 male   nonanginal         130        256 yes              hypert…
##  8     8    59 male   asymptomat…        110        239 no               hypert…
##  9     9    60 male   asymptomat…        140        293 no               hypert…
## 10    10    63 female asymptomat…        150        407 no               hypert…
## # … with 260 more rows, and 7 more variables: max.hr <dbl>, angina <chr>,
## #   oldpeak <dbl>, slope <chr>, colored <dbl>, thal <chr>, heart.disease <chr>

You should check that the variables that should be numbers actually are, that the variables that should be categorical have (as far as is shown) the right values as per my description above, and you should make some comment in that direction.

My variables appear to be correct, apart possibly for that variable X1 which is actually just the row number.

\(\blacksquare\)

In a logistic regression, what probability will be predicted here? Explain briefly but convincingly. (Is each line of the data file one observation or a summary of several?)

Solution

Each line of the data file is a single observation, not frequencies of yes and no (like the premature babies question, later, is). The response variable is a factor, so the first level is the baseline and the second level is the one predicted. R puts factor levels alphabetically, so no is first and yes is second. That is, a logistic regression will predict the probability that a person does have heart disease. I want to see that logic (which is why I said “convincingly”): one observation per line, and therefore that the second level of the factor is predicted, which is yes.

\(\blacksquare\)

* Fit a logistic regression predicting heart disease from everything else (if you have a column called X or X1, ignore that), and display the results.

Solution

A lot of typing, since there are so many variables. Don’t forget that the response variable must be a factor:

heart.1 <- glm(factor(heart.disease) ~ age + sex + pain.type + resting.bp + serum.chol +
  high.blood.sugar + electro + max.hr + angina + oldpeak + slope + colored + thal,
family = "binomial", data = heart
)

You can split this over several lines (and probably should), but make sure to end each line in such a way that there is unambiguously more to come, for example with a plus or a comma (though probably the fact that you have an unclosed bracket will be enough).

The output is rather lengthy:

summary(heart.1)

## 
## Call:
## glm(formula = factor(heart.disease) ~ age + sex + pain.type + 
##     resting.bp + serum.chol + high.blood.sugar + electro + max.hr + 
##     angina + oldpeak + slope + colored + thal, family = "binomial", 
##     data = heart)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.6431  -0.4754  -0.1465   0.3342   2.8100  
## 
## Coefficients:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)         -3.973837   3.133311  -1.268 0.204707    
## age                 -0.016007   0.026394  -0.606 0.544208    
## sexmale              1.763012   0.580761   3.036 0.002400 ** 
## pain.typeatypical   -0.997298   0.626233  -1.593 0.111264    
## pain.typenonanginal -1.833394   0.520808  -3.520 0.000431 ***
## pain.typetypical    -2.386128   0.756538  -3.154 0.001610 ** 
## resting.bp           0.026004   0.012080   2.153 0.031346 *  
## serum.chol           0.006621   0.004228   1.566 0.117322    
## high.blood.sugaryes -0.370040   0.626396  -0.591 0.554692    
## electronormal       -0.633593   0.412073  -1.538 0.124153    
## electroSTT           0.013986   3.184512   0.004 0.996496    
## max.hr              -0.019337   0.011486  -1.683 0.092278 .  
## anginayes            0.596869   0.460540   1.296 0.194968    
## oldpeak              0.449245   0.244631   1.836 0.066295 .  
## slopeflat            0.827054   0.966139   0.856 0.391975    
## slopeupsloping      -0.122787   1.041666  -0.118 0.906166    
## colored              1.199839   0.280947   4.271 1.95e-05 ***
## thalnormal           0.146197   0.845517   0.173 0.862723    
## thalreversible       1.577988   0.838550   1.882 0.059863 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 370.96  on 269  degrees of freedom
## Residual deviance: 168.90  on 251  degrees of freedom
## AIC: 206.9
## 
## Number of Fisher Scoring iterations: 6

I didn’t ask you for further comment, but note that quite a lot of these variables are factors, so you get slopes for things like pain.typeatypical. When you have a factor in a model, there is a slope for each level except for the first, which is a baseline (and its slope is taken to be zero). That would be asymptomatic for pain.type. The \(t\)-tests for the other levels of pain.type say whether that level of pain type differs significantly (in terms of probability of heart disease) from the baseline level. Here, pain type atypical is not significantly different from the baseline, but the other two pain types, nonanginal and typical, are significantly different. If you think about this from an ANOVA-like point of view, the question about pain.type’s significance is really “is there at least one of the pain types that is different from the others”, and if we’re thinking about whether we should keep pain.type in the logistic regression, this is the kind of question we should be thinking about.

\(\blacksquare\)

Quite a lot of our explanatory variables are factors. To assess whether the factor as a whole should stay or can be removed, looking at the slopes won’t help us very much (since they tell us whether the other levels of the factor differ from the baseline, which may not be a sensible comparison to make). To assess which variables are candidates to be removed, factors included (properly), we can use drop1. Feed drop1 a fitted model and the words test="Chisq" (take care of the capitalization!) and you’ll get a list of P-values. Which variable is the one that you would remove first? Explain briefly.

Solution

Following the instructions:

drop1(heart.1, test = "Chisq")

## Single term deletions
## 
## Model:
## factor(heart.disease) ~ age + sex + pain.type + resting.bp + 
##     serum.chol + high.blood.sugar + electro + max.hr + angina + 
##     oldpeak + slope + colored + thal
##                  Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>                168.90 206.90                      
## age               1   169.27 205.27  0.3705 0.5427474    
## sex               1   179.16 215.16 10.2684 0.0013533 ** 
## pain.type         3   187.85 219.85 18.9557 0.0002792 ***
## resting.bp        1   173.78 209.78  4.8793 0.0271810 *  
## serum.chol        1   171.34 207.34  2.4484 0.1176468    
## high.blood.sugar  1   169.25 205.25  0.3528 0.5525052    
## electro           2   171.31 205.31  2.4119 0.2994126    
## max.hr            1   171.84 207.84  2.9391 0.0864608 .  
## angina            1   170.55 206.55  1.6562 0.1981121    
## oldpeak           1   172.44 208.44  3.5449 0.0597303 .  
## slope             2   172.98 206.98  4.0844 0.1297422    
## colored           1   191.78 227.78 22.8878 1.717e-06 ***
## thal              2   180.78 214.78 11.8809 0.0026308 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

The highest P-value, 0.5525, goes with high.blood.sugar, so this one comes out first. (The P-value for age is almost as high, 0.5427, so you might guess that this will be next.)

You might be curious about how these compare with the P-values on summary. These two P-values are almost the same as the ones on summary, because they are a two-level factor and a numeric variable respectively, and so the tests are equivalent in the two cases. (The P-values are not identical because the tests on summary and drop1 are the kind of thing that would be identical on a regular regression but are only “asymptotically the same” in logistic regression, so you’d expect them to be close without being the same, as here. “Asymptotically the same” means that if you had an infinitely large sample size, they’d be identical, but our sample size of 200-odd individuals is not infinitely large! Anyway, the largest P-value on the summary is 0.9965, which goes with electroSTT. electro, though, is a factor with three levels; this P-value says that STT is almost identical (in its effects on heart disease) with the baseline hypertrophy. But there is a third level, normal, which is a bit different from hypertrophy. So the factor electro overall has some effect on heart disease, which is reflected in the drop1 P-value of 0.12: this might go later, but it has to stay for now because at least one of its levels is different from the others in its effect on heart disease. (In backward elimination, multi-level factors are removed in their entirety if none of their levels have a different effect from any of the others.)

The power just went out here, so I am using my laptop on battery on its own screen, rather than on the big screen I have in my office, which is much better.

\(\blacksquare\)

I’m not going to make you do the whole backward elimination (I’m going to have you use step for that later), but do one step: that is, fit a model removing the variable you think should be removed, using update, and then run drop1 again to see which variable will be removed next.

Solution

update is the obvious choice here, since we’re making a small change to a very big model:

heart.2 <- update(heart.1, . ~ . - high.blood.sugar)
drop1(heart.2, test = "Chisq")

## Single term deletions
## 
## Model:
## factor(heart.disease) ~ age + sex + pain.type + resting.bp + 
##     serum.chol + electro + max.hr + angina + oldpeak + slope + 
##     colored + thal
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          169.25 205.25                      
## age         1   169.66 203.66  0.4104  0.521756    
## sex         1   179.27 213.27 10.0229  0.001546 ** 
## pain.type   3   190.54 220.54 21.2943 9.145e-05 ***
## resting.bp  1   173.84 207.84  4.5942  0.032080 *  
## serum.chol  1   171.69 205.69  2.4458  0.117841    
## electro     2   171.65 203.65  2.3963  0.301750    
## max.hr      1   172.35 206.35  3.0969  0.078440 .  
## angina      1   170.78 204.78  1.5323  0.215764    
## oldpeak     1   173.26 207.26  4.0094  0.045248 *  
## slope       2   173.18 205.18  3.9288  0.140240    
## colored     1   191.87 225.87 22.6232 1.971e-06 ***
## thal        2   181.61 213.61 12.3588  0.002072 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

The power is back.

The next variable to go is indeed age, with a P-value that has hardly changed: it is now 0.5218.

\(\blacksquare\)

Use step to do a backward elimination to find which variables have an effect on heart disease. Display your final model (which you can do by saving the output from step in a variable, and asking for the summary of that. In step, you’ll need to specify a starting model (the one from part (here)), the direction of elimination, and the test to display the P-value for (the same one as you used in drop1). (Note: the actual decision to keep or drop explanatory variables is based on AIC rather than the P-value, with the result that step will sometimes keep variables you would have dropped, with P-values around 0.10.)

Solution

The hints ought to lead you to this:

heart.3 <- step(heart.1, direction = "backward", test = "Chisq")

## Start:  AIC=206.9
## factor(heart.disease) ~ age + sex + pain.type + resting.bp + 
##     serum.chol + high.blood.sugar + electro + max.hr + angina + 
##     oldpeak + slope + colored + thal
## 
##                    Df Deviance    AIC     LRT  Pr(>Chi)    
## - high.blood.sugar  1   169.25 205.25  0.3528 0.5525052    
## - age               1   169.27 205.27  0.3705 0.5427474    
## - electro           2   171.31 205.31  2.4119 0.2994126    
## - angina            1   170.55 206.55  1.6562 0.1981121    
## <none>                  168.90 206.90                      
## - slope             2   172.98 206.98  4.0844 0.1297422    
## - serum.chol        1   171.34 207.34  2.4484 0.1176468    
## - max.hr            1   171.84 207.84  2.9391 0.0864608 .  
## - oldpeak           1   172.44 208.44  3.5449 0.0597303 .  
## - resting.bp        1   173.78 209.78  4.8793 0.0271810 *  
## - thal              2   180.78 214.78 11.8809 0.0026308 ** 
## - sex               1   179.16 215.16 10.2684 0.0013533 ** 
## - pain.type         3   187.85 219.85 18.9557 0.0002792 ***
## - colored           1   191.78 227.78 22.8878 1.717e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Step:  AIC=205.25
## factor(heart.disease) ~ age + sex + pain.type + resting.bp + 
##     serum.chol + electro + max.hr + angina + oldpeak + slope + 
##     colored + thal
## 
##              Df Deviance    AIC     LRT  Pr(>Chi)    
## - electro     2   171.65 203.65  2.3963  0.301750    
## - age         1   169.66 203.66  0.4104  0.521756    
## - angina      1   170.78 204.78  1.5323  0.215764    
## - slope       2   173.18 205.18  3.9288  0.140240    
## <none>            169.25 205.25                      
## - serum.chol  1   171.69 205.69  2.4458  0.117841    
## - max.hr      1   172.35 206.35  3.0969  0.078440 .  
## - oldpeak     1   173.26 207.26  4.0094  0.045248 *  
## - resting.bp  1   173.84 207.84  4.5942  0.032080 *  
## - sex         1   179.27 213.27 10.0229  0.001546 ** 
## - thal        2   181.61 213.61 12.3588  0.002072 ** 
## - pain.type   3   190.54 220.54 21.2943 9.145e-05 ***
## - colored     1   191.87 225.87 22.6232 1.971e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Step:  AIC=203.65
## factor(heart.disease) ~ age + sex + pain.type + resting.bp + 
##     serum.chol + max.hr + angina + oldpeak + slope + colored + 
##     thal
## 
##              Df Deviance    AIC     LRT  Pr(>Chi)    
## - age         1   172.03 202.03  0.3894 0.5326108    
## - angina      1   173.13 203.13  1.4843 0.2231042    
## <none>            171.65 203.65                      
## - slope       2   175.99 203.99  4.3442 0.1139366    
## - max.hr      1   175.00 205.00  3.3560 0.0669599 .  
## - serum.chol  1   175.11 205.11  3.4610 0.0628319 .  
## - oldpeak     1   175.42 205.42  3.7710 0.0521485 .  
## - resting.bp  1   176.61 206.61  4.9639 0.0258824 *  
## - thal        2   182.91 210.91 11.2633 0.0035826 ** 
## - sex         1   182.77 212.77 11.1221 0.0008531 ***
## - pain.type   3   192.83 218.83 21.1859 9.632e-05 ***
## - colored     1   194.90 224.90 23.2530 1.420e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Step:  AIC=202.03
## factor(heart.disease) ~ sex + pain.type + resting.bp + serum.chol + 
##     max.hr + angina + oldpeak + slope + colored + thal
## 
##              Df Deviance    AIC     LRT  Pr(>Chi)    
## - angina      1   173.57 201.57  1.5385 0.2148451    
## <none>            172.03 202.03                      
## - slope       2   176.33 202.33  4.2934 0.1168678    
## - max.hr      1   175.00 203.00  2.9696 0.0848415 .  
## - serum.chol  1   175.22 203.22  3.1865 0.0742492 .  
## - oldpeak     1   175.92 203.92  3.8856 0.0487018 *  
## - resting.bp  1   176.63 204.63  4.5911 0.0321391 *  
## - thal        2   183.38 209.38 11.3500 0.0034306 ** 
## - sex         1   183.97 211.97 11.9388 0.0005498 ***
## - pain.type   3   193.71 217.71 21.6786 7.609e-05 ***
## - colored     1   195.73 223.73 23.6997 1.126e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Step:  AIC=201.57
## factor(heart.disease) ~ sex + pain.type + resting.bp + serum.chol + 
##     max.hr + oldpeak + slope + colored + thal
## 
##              Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>            173.57 201.57                      
## - slope       2   178.44 202.44  4.8672 0.0877201 .  
## - serum.chol  1   176.83 202.83  3.2557 0.0711768 .  
## - max.hr      1   177.52 203.52  3.9442 0.0470322 *  
## - oldpeak     1   177.79 203.79  4.2135 0.0401045 *  
## - resting.bp  1   178.56 204.56  4.9828 0.0256006 *  
## - thal        2   186.22 210.22 12.6423 0.0017978 ** 
## - sex         1   185.88 211.88 12.3088 0.0004508 ***
## - pain.type   3   200.68 222.68 27.1025 5.603e-06 ***
## - colored     1   196.98 222.98 23.4109 1.308e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

The output is very long. In terms of AIC, which is what step uses, age hangs on for a bit, but eventually gets eliminated.

There are a lot of variables left.

\(\blacksquare\)

Display the summary of the model that came out of step.

Solution

This:

summary(heart.3)

## 
## Call:
## glm(formula = factor(heart.disease) ~ sex + pain.type + resting.bp + 
##     serum.chol + max.hr + oldpeak + slope + colored + thal, family = "binomial", 
##     data = heart)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.7103  -0.4546  -0.1442   0.3864   2.7121  
## 
## Coefficients:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)         -4.818418   2.550437  -1.889 0.058858 .  
## sexmale              1.850559   0.561583   3.295 0.000983 ***
## pain.typeatypical   -1.268233   0.604488  -2.098 0.035903 *  
## pain.typenonanginal -2.086204   0.486591  -4.287 1.81e-05 ***
## pain.typetypical    -2.532340   0.748941  -3.381 0.000722 ***
## resting.bp           0.024125   0.011077   2.178 0.029410 *  
## serum.chol           0.007142   0.003941   1.812 0.069966 .  
## max.hr              -0.020373   0.010585  -1.925 0.054262 .  
## oldpeak              0.467028   0.233280   2.002 0.045284 *  
## slopeflat            0.859564   0.922749   0.932 0.351582    
## slopeupsloping      -0.165832   0.991474  -0.167 0.867167    
## colored              1.134561   0.261547   4.338 1.44e-05 ***
## thalnormal           0.323543   0.813442   0.398 0.690818    
## thalreversible       1.700314   0.805127   2.112 0.034699 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 370.96  on 269  degrees of freedom
## Residual deviance: 173.57  on 256  degrees of freedom
## AIC: 201.57
## 
## Number of Fisher Scoring iterations: 6

Not all of the P-values in the step output wound up being less than 0.05, but they are all at least reasonably small. As discussed above, some of the P-values in the summary are definitely not small, but they go with factors where there are significant effects somewhere. For example, thalnormal is not significant (that is, normal is not significantly different from the baseline fixed), but the other level reversible is different from fixed. You might be wondering about slope: on the summary there is nothing close to significance, but on the step output, slope has at least a reasonably small P-value of 0.088. This is because the significant difference does not involve the baseline: it’s actually between flat with a positive slope and upsloping with a negative one.

\(\blacksquare\)

We are going to make a large number of predictions. Create and save a data frame that contains predictions for all combinations of representative values for all the variables in the model that came out of step. By “representative” I mean all the values for a categorical variable, and the five-number summary for a numeric variable. (Note that you will get a lot of predictions.)

Solution

This is exactly what predictions with variables does, so that you don’t have to do anything to get hold of the representative variables yourself.

The hard work is in listing all the variables. The easiest way to make sure you have them all is to look at the summary of your best model (mine was called heart.3) first, and copy them from the Call at the top. This is easier than looking at the table of Coefficients (or tidy output) because for categorical variables like pain.type you will have to distinguish the name of the variable from its levels. For example, the table of Coefficients has pain.typeatypical and pain.typenonanginal. Is it obvious to you where the variable name ends and its level begins?⁴⁸

p <- predictions(heart.3, variables = c("sex", "pain.type", "resting.bp", "serum.chol", "max.hr", "oldpeak", "slope", "colored", "thal"))
p

##      rowid     type  predicted    std.error     conf.low conf.high
## 1        1 response 0.48408838 2.601531e-01 0.1085828760 0.8784638
## 2        2 response 0.78803189 1.721543e-01 0.3302844431 0.9655472
## 3        3 response 0.40438891 2.699335e-01 0.0701903258 0.8592830
## 4        4 response 0.74476676 1.953442e-01 0.2802436434 0.9562714
## 5        5 response 0.92039045 7.531898e-02 0.6065758064 0.9885967
## 6        6 response 0.67860109 2.391697e-01 0.1975082803 0.9476802
## 7        7 response 0.96577636 3.922606e-02 0.7337944661 0.9965505
## 8        8 response 0.99113541 1.060165e-02 0.9130766082 0.9991604
## 9        9 response 0.95331280 5.461959e-02 0.6482158882 0.9956000
## 10      10 response 0.25179454 2.066888e-01 0.0377111553 0.7429256
## 11      11 response 0.57143456 2.673777e-01 0.1356177738 0.9189070
## 12      12 response 0.19582318 1.926643e-01 0.0216572186 0.7281600
## 13      13 response 0.51137231 2.635929e-01 0.1169016979 0.8921697
## 14      14 response 0.80569369 1.660252e-01 0.3415700708 0.9707117
## 15      15 response 0.43093294 2.882437e-01 0.0703194374 0.8834692
## 16      16 response 0.91008061 9.478946e-02 0.5110889260 0.9898981
## 17      17 response 0.97566943 2.809274e-02 0.7976916058 0.9975540
## 18      18 response 0.87985700 1.320937e-01 0.3874373676 0.9883445
## 19      19 response 0.28429976 2.834576e-01 0.0252428187 0.8590210
## 20      20 response 0.61148020 3.272335e-01 0.0956838873 0.9590349
## 21      21 response 0.22325888 2.575184e-01 0.0154086155 0.8407407
## 22      22 response 0.55263650 3.410517e-01 0.0763904721 0.9485873
## 23      23 response 0.83034857 1.933059e-01 0.2494733527 0.9863143
## 24      24 response 0.47197593 3.648277e-01 0.0482721752 0.9403072
## 25      25 response 0.92275999 1.066264e-01 0.3889643872 0.9955596
## 26      26 response 0.97931050 3.049326e-02 0.7124878316 0.9988952
## 27      27 response 0.89631260 1.448480e-01 0.2894950968 0.9945769
## 28      28 response 0.57687412 2.457319e-01 0.1593342147 0.9074676
## 29      29 response 0.84379299 1.311218e-01 0.4346117888 0.9743321
## 30      30 response 0.49660292 2.713592e-01 0.1051654994 0.8922494
## 31      31 response 0.80915295 1.529949e-01 0.3781744375 0.9672747
## 32      32 response 0.94381532 5.252682e-02 0.7067901140 0.9915301
## 33      33 response 0.75416911 1.963733e-01 0.2778767768 0.9607198
## 34      34 response 0.97619201 2.678449e-02 0.8107452792 0.9974584
## 35      35 response 0.99388216 7.129207e-03 0.9422625032 0.9993820
## 36      36 response 0.96739355 3.758259e-02 0.7417096938 0.9967483
## 37      37 response 0.32839751 2.416221e-01 0.0540314803 0.8071752
## 38      38 response 0.65955883 2.446952e-01 0.1862510805 0.9425251
## 39      39 response 0.26134594 2.354208e-01 0.0313954126 0.7943299
## 40      40 response 0.60327252 2.517550e-01 0.1621174838 0.9227845
## 41      41 response 0.85764791 1.290522e-01 0.4314652159 0.9795208
## 42      42 response 0.52387597 2.918503e-01 0.0999556988 0.9159746
## 43      43 response 0.93632925 6.874084e-02 0.6054712361 0.9929536
## 44      44 response 0.98312682 1.953863e-02 0.8527684456 0.9982968
## 45      45 response 0.91409552 9.754741e-02 0.4824915459 0.9918331
## 46      46 response 0.36595492 3.096388e-01 0.0404997641 0.8875441
## 47      47 response 0.69575425 2.789326e-01 0.1473550958 0.9680100
## 48      48 response 0.29459869 2.967499e-01 0.0247963156 0.8727667
## 49      49 response 0.64220591 3.031138e-01 0.1191442125 0.9597075
## 50      50 response 0.87671919 1.417166e-01 0.3524793241 0.9893512
## 51      51 response 0.56498249 3.453212e-01 0.0763945274 0.9532557
## 52      52 response 0.94552888 7.409072e-02 0.5086446680 0.9965762
## 53      53 response 0.98566828 2.044843e-02 0.8011848624 0.9991488
## 54      54 response 0.92625463 1.025601e-01 0.3983673115 0.9958203
## 55      55 response 0.66453651 2.242143e-01 0.2162425398 0.9343094
## 56      56 response 0.88698900 9.957240e-02 0.5283264801 0.9821417
## 57      57 response 0.58904862 2.618638e-01 0.1467663571 0.9227463
## 58      58 response 0.86034255 1.187479e-01 0.4703093650 0.9771386
## 59      59 response 0.96064223 3.734033e-02 0.7788929058 0.9941217
## 60      60 response 0.81676697 1.577415e-01 0.3609545393 0.9723587
## 61      61 response 0.98349194 1.863571e-02 0.8626584272 0.9982335
## 62      62 response 0.99578143 4.904482e-03 0.9599109506 0.9995704
## 63      63 response 0.97732858 2.624322e-02 0.8088166936 0.9977286
## 64      64 response 0.41536757 2.732739e-01 0.0725986944 0.8657393
## 65      65 response 0.73787466 2.164856e-01 0.2388870804 0.9618999
## 66      66 response 0.33953606 2.789453e-01 0.0429691464 0.8547843
## 67      67 response 0.68841974 2.319924e-01 0.2096433152 0.9484639
## 68      68 response 0.89747812 9.993452e-02 0.5101910249 0.9865900
## 69      69 response 0.61519413 2.827128e-01 0.1333718783 0.9432067
## 70      70 response 0.95529199 5.029884e-02 0.6799637747 0.9953680
## 71      71 response 0.98832584 1.386372e-02 0.8892963087 0.9988804
## 72      72 response 0.93925039 7.205084e-02 0.5654706834 0.9945855
## 73      73 response 0.45611631 3.225488e-01 0.0615514964 0.9146966
## 74      74 response 0.76866406 2.280749e-01 0.2119677818 0.9762160
## 75      75 response 0.37765102 3.275915e-01 0.0380019361 0.9031141
## 76      76 response 0.72283614 2.571148e-01 0.1741094402 0.9699367
## 77      77 response 0.91176225 1.025585e-01 0.4592951348 0.9921071
## 78      78 response 0.65362931 3.099893e-01 0.1141942914 0.9650634
## 79      79 response 0.96186333 5.149164e-02 0.6169103153 0.9974749
## 80      80 response 0.99009211 1.385713e-02 0.8624557777 0.9993725
## 81      81 response 0.94805137 7.220222e-02 0.5076933878 0.9969132
## 82      82 response 0.94437577 8.056708e-02 0.4565724273 0.9970937
## 83      83 response 0.98535172 2.199334e-02 0.7724475130 0.9992504
## 84      84 response 0.92472597 1.095225e-01 0.3599715147 0.9962871
## 85      85 response 0.98141182 2.767105e-02 0.7297845320 0.9990321
## 86      86 response 0.99524237 7.171190e-03 0.9148895633 0.9997544
## 87      87 response 0.97449198 3.850608e-02 0.6472056260 0.9987446
## 88      88 response 0.99804535 3.150527e-03 0.9556511099 0.9999174
## 89      89 response 0.99950594 8.035754e-04 0.9881435252 0.9999796
## 90      90 response 0.99730066 4.389027e-03 0.9379984096 0.9998892
## 91      91 response 0.85893942 2.098174e-01 0.1697266728 0.9945169
## 92      92 response 0.96020019 6.596533e-02 0.4501984780 0.9985952
## 93      93 response 0.81502018 2.715552e-01 0.1143205322 0.9933949
## 94      94 response 0.94983974 8.093162e-02 0.4041374389 0.9981121
## 95      95 response 0.98684669 2.206524e-02 0.7283159970 0.9995240
## 96      96 response 0.93198113 1.117323e-01 0.3021644688 0.9976989
## 97      97 response 0.99456904 9.462992e-03 0.8552609799 0.9998238
## 98      98 response 0.99862368 2.427878e-03 0.9579024095 0.9999568
## 99      99 response 0.99250986 1.338429e-02 0.7954207509 0.9997786
## 100    100 response 0.87786233 1.703206e-01 0.2421204640 0.9938539
## 101    101 response 0.96607573 5.153110e-02 0.5664478078 0.9983915
## 102    102 response 0.83872853 2.239107e-01 0.1685872162 0.9925589
## 103    103 response 0.95717656 6.433073e-02 0.5077132313 0.9979399
## 104    104 response 0.98883422 1.723088e-02 0.8061102579 0.9994702
## 105    105 response 0.94176994 8.936573e-02 0.3987724351 0.9974708
## 106    106 response 0.99539513 7.605460e-03 0.8932093509 0.9998210
## 107    107 response 0.99883375 1.939611e-03 0.9703828255 0.9999553
## 108    108 response 0.99364717 1.074351e-02 0.8477061230 0.9997725
## 109    109 response 0.20968794 1.266346e-01 0.0560134369 0.5426226
## 110    110 response 0.51248820 1.917477e-01 0.1893483650 0.8255161
## 111    111 response 0.16106160 1.309504e-01 0.0279274041 0.5619602
## 112    112 response 0.45208592 1.886196e-01 0.1564738358 0.7858703
## 113    113 response 0.76576034 1.399087e-01 0.4147808822 0.9378060
## 114    114 response 0.37383741 2.233840e-01 0.0842333515 0.7948794
## 115    115 response 0.88863528 9.807259e-02 0.5335842077 0.9823500
## 116    116 response 0.96933972 3.056408e-02 0.8081499485 0.9958033
## 117    117 response 0.85237275 1.414729e-01 0.3893065928 0.9812364
## 118    118 response 0.08689077 5.804543e-02 0.0221806092 0.2853042
## 119    119 response 0.27379892 1.476665e-01 0.0808368361 0.6177868
## 120    120 response 0.06441976 6.065365e-02 0.0094880248 0.3310806
## 121    121 response 0.22835161 1.207194e-01 0.0717300662 0.5312412
## 122    122 response 0.53969833 1.772629e-01 0.2245398935 0.8260173
## 123    123 response 0.17636303 1.395129e-01 0.0315654901 0.5844931
## 124    124 response 0.74105902 1.659666e-01 0.3444112195 0.9397243
## 125    125 response 0.91895636 6.804614e-02 0.6541857211 0.9855002
## 126    126 response 0.67435245 2.357244e-01 0.2016637682 0.9443704
## 127    127 response 0.10098100 1.075118e-01 0.0109059370 0.5336338
## 128    128 response 0.30797551 2.509978e-01 0.0423774190 0.8173709
## 129    129 response 0.07516604 9.458593e-02 0.0056148663 0.5391391
## 130    130 response 0.25887759 2.261749e-01 0.0334939907 0.7788023
## 131    131 response 0.58053261 2.878889e-01 0.1200287514 0.9335211
## 132    132 response 0.20175630 2.169161e-01 0.0177198544 0.7797970
## 133    133 response 0.77159017 2.347734e-01 0.1988305722 0.9787151
## 134    134 response 0.93047978 8.749478e-02 0.4857708288 0.9947544
## 135    135 response 0.70966738 3.021173e-01 0.1213039717 0.9774162
## 136    136 response 0.27824472 1.444756e-01 0.0860217743 0.6122633
## 137    137 response 0.60434092 1.726995e-01 0.2705171961 0.8628507
## 138    138 response 0.21810770 1.587647e-01 0.0430496791 0.6336577
## 139    139 response 0.54522013 1.771716e-01 0.2280986012 0.8294637
## 140    140 response 0.82608727 1.053894e-01 0.5300591979 0.9523891
## 141    141 response 0.46451805 2.273296e-01 0.1263726565 0.8387674
## 142    142 response 0.92059791 6.961530e-02 0.6419643772 0.9868370
## 143    143 response 0.97869481 2.065759e-02 0.8682428885 0.9968869
## 144    144 response 0.89349566 1.034932e-01 0.4988455355 0.9860542
## 145    145 response 0.12147015 7.819909e-02 0.0318357958 0.3676406
## 146    146 response 0.35392956 1.699361e-01 0.1132063866 0.7015686
## 147    147 response 0.09094719 8.302119e-02 0.0137852312 0.4172745
## 148    148 response 0.30068879 1.438798e-01 0.1010949435 0.6217722
## 149    149 response 0.63012442 1.659529e-01 0.2967510454 0.8730632
## 150    150 response 0.23729578 1.731368e-01 0.0455415036 0.6698251
## 151    151 response 0.80613707 1.345347e-01 0.4348364904 0.9573993
## 152    152 response 0.94277696 4.905538e-02 0.7349102059 0.9898900
## 153    153 response 0.75055221 1.998218e-01 0.2708548501 0.9605855
## 154    154 response 0.14030616 1.347370e-01 0.0179492314 0.5930520
## 155    155 response 0.39269957 2.646304e-01 0.0684465135 0.8505401
## 156    156 response 0.10561912 1.228199e-01 0.0091518987 0.6015710
## 157    157 response 0.33666581 2.478852e-01 0.0544888744 0.8171793
## 158    158 response 0.66787342 2.469121e-01 0.1849587739 0.9468625
## 159    159 response 0.26860121 2.523756e-01 0.0287596542 0.8199691
## 160    160 response 0.83074752 1.784725e-01 0.2896950938 0.9833529
## 161    161 response 0.95109364 6.002112e-02 0.6079300319 0.9959168
## 162    162 response 0.78029589 2.412587e-01 0.1837929184 0.9824611
## 163    163 response 0.35903320 1.660809e-01 0.1198295528 0.6973942
## 164    164 response 0.68937690 1.549998e-01 0.3494434604 0.9016685
## 165    165 response 0.28841270 1.907482e-01 0.0615280472 0.7147463
## 166    166 response 0.63529449 1.656141e-01 0.3002792308 0.8760957
## 167    167 response 0.87344511 8.104136e-02 0.6212421209 0.9667124
## 168    168 response 0.55760695 2.246675e-01 0.1745668423 0.8825198
## 169    169 response 0.94396544 5.022367e-02 0.7237478579 0.9908528
## 170    170 response 0.98523894 1.436083e-02 0.9059792897 0.9978417
## 171    171 response 0.92418234 7.583043e-02 0.5937443910 0.9902596
## 172    172 response 0.16728967 1.086540e-01 0.0417388095 0.4809520
## 173    173 response 0.44319918 1.947343e-01 0.1449417969 0.7889255
## 174    174 response 0.12691649 1.148155e-01 0.0187186834 0.5255610
## 175    175 response 0.38452211 1.733771e-01 0.1294040978 0.7242101
## 176    176 response 0.71225738 1.553409e-01 0.3591176185 0.9162108
## 177    177 response 0.31132317 2.119736e-01 0.0611277080 0.7583827
## 178    178 response 0.85799363 1.092325e-01 0.5103929012 0.9722364
## 179    179 response 0.95990164 3.628149e-02 0.7905120380 0.9934582
## 180    180 response 0.81384374 1.656605e-01 0.3389566142 0.9738730
## 181    181 response 0.19168056 1.670694e-01 0.0278537652 0.6624617
## 182    182 response 0.48441595 2.672779e-01 0.1034176472 0.8844336
## 183    183 response 0.14645626 1.580867e-01 0.0141849383 0.6717141
## 184    184 response 0.42444171 2.613020e-01 0.0830956614 0.8571575
## 185    185 response 0.74501599 2.037263e-01 0.2631389488 0.9598489
## 186    186 response 0.34793951 2.830270e-01 0.0442289183 0.8601964
## 187    187 response 0.87702525 1.328538e-01 0.3894182256 0.9876158
## 188    188 response 0.96581969 4.136793e-02 0.7079116111 0.9969737
## 189    189 response 0.83767284 1.864704e-01 0.2598480676 0.9869880
## 190    190 response 0.82760757 1.962200e-01 0.2447533862 0.9861336
## 191    191 response 0.95005210 6.521846e-02 0.5626212316 0.9964571
## 192    192 response 0.77647181 2.573878e-01 0.1595836955 0.9845073
## 193    193 response 0.93722267 8.034680e-02 0.5067004207 0.9954126
## 194    194 response 0.98337524 2.245011e-02 0.8003707336 0.9988554
## 195    195 response 0.91527269 1.136583e-01 0.3792301675 0.9947922
## 196    196 response 0.99312148 1.018299e-02 0.8860299520 0.9996272
## 197    197 response 0.99825494 2.636094e-03 0.9671789692 0.9999100
## 198    198 response 0.99051869 1.471904e-02 0.8287907078 0.9995567
## 199    199 response 0.63259590 3.578542e-01 0.0776735212 0.9723778
## 200    200 response 0.87215406 1.719922e-01 0.2491541028 0.9929202
## 201    201 response 0.55473641 4.133622e-01 0.0447799034 0.9706831
## 202    202 response 0.84263033 2.003281e-01 0.2170358328 0.9904241
## 203    203 response 0.95498507 6.539945e-02 0.5182336424 0.9976156
## 204    204 response 0.79484607 2.673365e-01 0.1348366207 0.9897242
## 205    205 response 0.98105435 2.948155e-02 0.6980926680 0.9991384
## 206    206 response 0.99514956 7.775678e-03 0.8972020237 0.9997927
## 207    207 response 0.97400495 4.291222e-02 0.5748534366 0.9990378
## 208    208 response 0.67022467 3.145558e-01 0.1110386260 0.9706473
## 209    209 response 0.88953224 1.390462e-01 0.3346091782 0.9923042
## 210    210 response 0.59523714 3.753162e-01 0.0649162738 0.9688970
## 211    211 response 0.86339310 1.663879e-01 0.2847144121 0.9901338
## 212    212 response 0.96159971 5.209588e-02 0.6119124093 0.9974919
## 213    213 response 0.82057084 2.265171e-01 0.1831506448 0.9893931
## 214    214 response 0.98390285 2.417545e-02 0.7542039709 0.9991794
## 215    215 response 0.99588772 6.314331e-03 0.9218493143 0.9997989
## 216    216 response 0.97788946 3.524950e-02 0.6442915149 0.9990749
## 217    217 response 0.14874751 9.870960e-02 0.0365311792 0.4460748
## 218    218 response 0.40909986 1.906568e-01 0.1285880512 0.7646106
## 219    219 response 0.11224605 1.008342e-01 0.0171018450 0.4788418
## 220    220 response 0.35208265 1.784404e-01 0.1049852643 0.7156989
## 221    221 response 0.68284418 1.745573e-01 0.3072752406 0.9126665
## 222    222 response 0.28222732 2.029461e-01 0.0523023695 0.7369379
## 223    223 response 0.84013399 1.363488e-01 0.4181173823 0.9746415
## 224    224 response 0.95417407 4.617892e-02 0.7243372455 0.9939757
## 225    225 response 0.79177903 1.932154e-01 0.2766141185 0.9742362
## 226    226 response 0.05897508 3.938778e-02 0.0153541610 0.2011996
## 227    227 response 0.19891588 1.159278e-01 0.0563070680 0.5082025
## 228    228 response 0.04338042 4.236547e-02 0.0060941991 0.2511497
## 229    229 response 0.16310651 9.116942e-02 0.0500046055 0.4191546
## 230    230 response 0.43572690 1.730043e-01 0.1627863762 0.7540991
## 231    231 response 0.12359305 1.061365e-01 0.0202462724 0.4904157
## 232    232 response 0.65335720 1.949927e-01 0.2585284379 0.9106249
## 233    233 response 0.88190551 9.529641e-02 0.5540918133 0.9782038
## 234    234 response 0.57695513 2.680855e-01 0.1367605377 0.9215093
## 235    235 response 0.06887997 7.626464e-02 0.0071416148 0.4320735
## 236    236 response 0.22666274 2.079736e-01 0.0278492929 0.7499225
## 237    237 response 0.05080760 6.689036e-02 0.0035189701 0.4479222
## 238    238 response 0.18702448 1.805105e-01 0.0219596361 0.7021217
## 239    239 response 0.47684388 2.979669e-01 0.0806365709 0.9045079
## 240    240 response 0.14270478 1.684038e-01 0.0110858583 0.7119613
## 241    241 response 0.68990197 2.878887e-01 0.1373115512 0.9688448
## 242    242 response 0.89811302 1.252988e-01 0.3758176524 0.9923107
## 243    243 response 0.61683082 3.543102e-01 0.0785625811 0.9681477
## 244    244 response 0.20248479 1.190024e-01 0.0565090653 0.5183701
## 245    245 response 0.50148364 1.864781e-01 0.1890738333 0.8127393
## 246    246 response 0.15520083 1.280069e-01 0.0263931358 0.5545682
## 247    247 response 0.44120456 1.818919e-01 0.1567943190 0.7702505
## 248    248 response 0.75777066 1.399245e-01 0.4125105222 0.9330547
## 249    249 response 0.36358964 2.231418e-01 0.0794460004 0.7908841
## 250    250 response 0.88420297 1.001745e-01 0.5287824347 0.9811172
## 251    251 response 0.96800378 3.160073e-02 0.8037496257 0.9955453
## 252    252 response 0.84674609 1.476140e-01 0.3728026728 0.9809007
## 253    253 response 0.08346045 5.447648e-02 0.0220523161 0.2688577
## 254    254 response 0.26513229 1.420767e-01 0.0795349594 0.6010301
## 255    255 response 0.06181650 5.913044e-02 0.0088530205 0.3270746
## 256    256 response 0.22068637 1.149379e-01 0.0709935356 0.5120439
## 257    257 response 0.52874319 1.752525e-01 0.2203873832 0.8166194
## 258    258 response 0.17005833 1.378930e-01 0.0293091573 0.5816816
## 259    259 response 0.73252111 1.680923e-01 0.3376001491 0.9363691
## 260    260 response 0.91561623 7.043203e-02 0.6450946672 0.9847963
## 261    261 response 0.66461050 2.436682e-01 0.1886756725 0.9440888
## 262    262 response 0.09705355 9.840840e-02 0.0117586984 0.4926337
## 263    263 response 0.29867200 2.345421e-01 0.0452944383 0.7926477
## 264    264 response 0.07216202 8.894322e-02 0.0057226827 0.5124204
## 265    265 response 0.25052033 2.102208e-01 0.0359066482 0.7499953
## 266    266 response 0.56977459 2.762248e-01 0.1270119295 0.9234027
## 267    267 response 0.19475848 2.064397e-01 0.0179972298 0.7614439
## 268    268 response 0.76373799 2.317199e-01 0.2069090954 0.9756418
## 269    269 response 0.92757715 8.790468e-02 0.4963417568 0.9940283
## 270    270 response 0.70051271 3.025272e-01 0.1216861977 0.9753023
## 271    271 response 0.26948958 1.457413e-01 0.0795705465 0.6115349
## 272    272 response 0.59376623 1.805691e-01 0.2520555022 0.8637502
## 273    273 response 0.21069244 1.622635e-01 0.0379376823 0.6437370
## 274    274 response 0.53428300 1.839277e-01 0.2122475608 0.8300703
## 275    275 response 0.81967072 1.127841e-01 0.5046510463 0.9530074
## 276    276 response 0.45358517 2.384877e-01 0.1118326602 0.8455041
## 277    277 response 0.91731935 7.406047e-02 0.6207211661 0.9868790
## 278    278 response 0.97775715 2.213903e-02 0.8566875179 0.9969160
## 279    279 response 0.88923268 1.116165e-01 0.4655355851 0.9866649
## 280    280 response 0.11684939 7.861073e-02 0.0288704700 0.3706150
## 281    281 response 0.34392776 1.753441e-01 0.1025772474 0.7062484
## 282    282 response 0.08737205 8.387700e-02 0.0120347523 0.4293615
## 283    283 response 0.29151267 1.484799e-01 0.0913635493 0.6273818
## 284    284 response 0.61980532 1.769548e-01 0.2722812419 0.8765896
## 285    285 response 0.22941956 1.784231e-01 0.0395550535 0.6827676
## 286    286 response 0.79916341 1.435918e-01 0.4079613002 0.9582955
## 287    287 response 0.94035485 5.304347e-02 0.7118234697 0.9901602
## 288    288 response 0.74221843 2.141910e-01 0.2429422085 0.9627334
## 289    289 response 0.13507904 1.267876e-01 0.0182756138 0.5671388
## 290    290 response 0.38225039 2.553565e-01 0.0691697770 0.8374666
## 291    291 response 0.10153165 1.180693e-01 0.0088619256 0.5881803
## 292    292 response 0.32690502 2.377349e-01 0.0552102856 0.8014497
## 293    293 response 0.65803594 2.447031e-01 0.1859098629 0.9419100
## 294    294 response 0.26004019 2.464461e-01 0.0277592228 0.8122224
## 295    295 response 0.82446638 1.805866e-01 0.2893016785 0.9818824
## 296    296 response 0.94900451 6.158207e-02 0.6057883349 0.9955823
## 297    297 response 0.77265481 2.472503e-01 0.1772056741 0.9816953
## 298    298 response 0.75971446 2.535117e-01 0.1721081298 0.9796276
## 299    299 response 0.92607372 9.523895e-02 0.4504891209 0.9948030
## 300    300 response 0.69584126 3.207852e-01 0.1049795342 0.9780807
## 301    301 response 0.90768376 1.158120e-01 0.3957516585 0.9932708
## 302    302 response 0.97497281 3.398957e-02 0.7175376285 0.9983289
## 303    303 response 0.87676362 1.622326e-01 0.2727540346 0.9926448
## 304    304 response 0.98959283 1.556422e-02 0.8310084338 0.9994564
## 305    305 response 0.99735271 4.056922e-03 0.9488255797 0.9998694
## 306    306 response 0.98567408 2.267759e-02 0.7471718889 0.9993761
## 307    307 response 0.53138830 3.819334e-01 0.0531294214 0.9581883
## 308    308 response 0.81794544 2.292639e-01 0.1801864738 0.9892289
## 309    309 response 0.45070457 4.174606e-01 0.0292332404 0.9571859
## 310    310 response 0.77907427 2.594536e-01 0.1552229323 0.9854394
## 311    311 response 0.93320835 9.481010e-02 0.4147838286 0.9963824
## 312    312 response 0.71844006 3.347641e-01 0.0905572083 0.9849368
## 313    313 response 0.97151288 4.395492e-02 0.6026575115 0.9986976
## 314    314 response 0.99265361 1.178300e-02 0.8505963805 0.9996883
## 315    315 response 0.96105418 6.417718e-02 0.4613856859 0.9985952
## 316    316 response 0.57237566 3.504695e-01 0.0748213677 0.9568095
## 317    317 response 0.84135185 1.904760e-01 0.2444250680 0.9886285
## 318    318 response 0.49200257 3.961695e-01 0.0415388699 0.9558376
## 319    319 response 0.80629475 2.221551e-01 0.2039582140 0.9854278
## 320    320 response 0.94283138 7.684856e-02 0.5021148837 0.9963059
## 321    321 response 0.75074111 2.935580e-01 0.1221614010 0.9848913
## 322    322 response 0.97576051 3.648477e-02 0.6619177720 0.9987932
## 323    323 response 0.99376923 9.664247e-03 0.8821489653 0.9997058
## 324    324 response 0.96680801 5.339310e-02 0.5276279442 0.9986852
## 325    325 response 0.11929496 8.589817e-02 0.0265567651 0.4021073
## 326    326 response 0.34924649 1.885679e-01 0.0954765340 0.7318093
## 327    327 response 0.08926304 8.610632e-02 0.0121449327 0.4386337
## 328    328 response 0.29638701 1.716661e-01 0.0774182466 0.6789234
## 329    329 response 0.62532400 1.989490e-01 0.2401091422 0.8981191
## 330    330 response 0.23359798 1.883293e-01 0.0373313520 0.7055078
## 331    331 response 0.80290651 1.664540e-01 0.3414042196 0.9697095
## 332    332 response 0.94165860 6.010039e-02 0.6541160451 0.9927931
## 333    333 response 0.74668644 2.306076e-01 0.2127243686 0.9698400
## 334    334 response 0.04633036 3.218789e-02 0.0115169517 0.1684450
## 335    335 response 0.16141339 1.014656e-01 0.0424136825 0.4554798
## 336    336 response 0.03395866 3.450637e-02 0.0044532992 0.2164494
## 337    337 response 0.13124919 7.884126e-02 0.0375005242 0.3694124
## 338    338 response 0.37444650 1.709721e-01 0.1252319868 0.7145151
## 339    339 response 0.09854459 9.012656e-02 0.0147450423 0.4439838
## 340    340 response 0.59367144 2.134995e-01 0.2049686476 0.8922423
## 341    341 response 0.85269977 1.181567e-01 0.4780552127 0.9733954
## 342    342 response 0.51390168 2.832460e-01 0.1027805417 0.9070340
## 343    343 response 0.05423396 6.213065e-02 0.0053102717 0.3811693
## 344    344 response 0.18513800 1.826990e-01 0.0207244058 0.7092340
## 345    345 response 0.03983991 5.428945e-02 0.0025633477 0.4011713
## 346    346 response 0.15134038 1.556006e-01 0.0163246333 0.6570932
## 347    347 response 0.41402373 2.961970e-01 0.0606396548 0.8854960
## 348    348 response 0.11428807 1.428063e-01 0.0080602860 0.6720285
## 349    349 response 0.63297381 3.184658e-01 0.1051038307 0.9620118
## 350    350 response 0.87233529 1.554719e-01 0.3069495696 0.9906033
## 351    351 response 0.55513808 3.788039e-01 0.0581470353 0.9618664
## 352    352 response 0.16444757 1.068607e-01 0.0410998550 0.4747165
## 353    353 response 0.43813596 1.944297e-01 0.1422496371 0.7857118
## 354    354 response 0.12465762 1.119253e-01 0.0187169674 0.5153307
## 355    355 response 0.37967214 1.841135e-01 0.1167989317 0.7390851
## 356    356 response 0.70802901 1.671195e-01 0.3321136597 0.9220335
## 357    357 response 0.30693603 2.163047e-01 0.0569247076 0.7646691
## 358    358 response 0.85547229 1.257283e-01 0.4464822913 0.9774951
## 359    359 response 0.95910345 4.157492e-02 0.7460241470 0.9946876
## 360    360 response 0.81071144 1.820918e-01 0.2950402125 0.9776933
## 361    361 response 0.06593371 4.505570e-02 0.0165484333 0.2284616
## 362    362 response 0.21855162 1.284226e-01 0.0602044852 0.5497503
## 363    363 response 0.04859402 4.859373e-02 0.0064673567 0.2861041
## 364    364 response 0.18000166 1.022294e-01 0.0534630145 0.4603702
## 365    365 response 0.46516513 1.816967e-01 0.1720753393 0.7844616
## 366    366 response 0.13706559 1.197351e-01 0.0213739216 0.5359926
## 367    367 response 0.67978551 1.921386e-01 0.2734420115 0.9229273
## 368    368 response 0.89374294 8.907359e-02 0.5722932198 0.9814380
## 369    369 response 0.60569298 2.697058e-01 0.1437960294 0.9335534
## 370    370 response 0.07691179 8.142322e-02 0.0087243130 0.4409636
## 371    371 response 0.24818890 2.138626e-01 0.0337409496 0.7573361
## 372    372 response 0.05686076 7.306227e-02 0.0041567192 0.4654668
## 373    373 response 0.20578793 1.872702e-01 0.0266942727 0.7099704
## 374    374 response 0.50656621 2.887762e-01 0.0963819419 0.9080973
## 375    375 response 0.15788532 1.798252e-01 0.0130619956 0.7264740
## 376    376 response 0.71476047 2.672652e-01 0.1610125047 0.9703430
## 377    377 response 0.90849443 1.111387e-01 0.4194902134 0.9927224
## 378    378 response 0.64452881 3.387401e-01 0.0908978237 0.9704843
## 379    379 response 0.22237505 1.351555e-01 0.0582080057 0.5695471
## 380    380 response 0.53118240 1.974808e-01 0.1931962291 0.8427929
## 381    381 response 0.17144484 1.456994e-01 0.0269692523 0.6070371
## 382    382 response 0.47070416 1.952610e-01 0.1606487644 0.8051461
## 383    383 response 0.77893192 1.394365e-01 0.4188179931 0.9451392
## 384    384 response 0.39153592 2.418912e-01 0.0808465582 0.8247951
## 385    385 response 0.89583731 9.476658e-02 0.5402392501 0.9843622
## 386    386 response 0.97148998 2.930937e-02 0.8106942187 0.9963254
## 387    387 response 0.86155454 1.410904e-01 0.3798663386 0.9844288
## 388    388 response 0.09302259 6.586102e-02 0.0217260880 0.3214155
## 389    389 response 0.28894684 1.641854e-01 0.0782215619 0.6605510
## 390    390 response 0.06908579 6.964735e-02 0.0088071068 0.3826570
## 391    391 response 0.24182243 1.360903e-01 0.0692976023 0.5773981
## 392    392 response 0.55824852 1.916018e-01 0.2160661114 0.8528152
## 393    393 response 0.18751223 1.590518e-01 0.0289609190 0.6410457
## 394    394 response 0.75517551 1.699097e-01 0.3374233532 0.9491948
## 395    395 response 0.92436440 6.793627e-02 0.6453547688 0.9879632
## 396    396 response 0.69058716 2.468480e-01 0.1882584760 0.9555150
## 397    397 response 0.10798956 1.069634e-01 0.0135489024 0.5162247
## 398    398 response 0.32417020 2.430154e-01 0.0517235988 0.8083597
## 399    399 response 0.08054344 9.846149e-02 0.0064266251 0.5426179
## 400    400 response 0.27351090 2.201645e-01 0.0411488027 0.7675943
## 401    401 response 0.59866091 2.684694e-01 0.1430550696 0.9302101
## 402    402 response 0.21409352 2.218144e-01 0.0201488795 0.7830283
## 403    403 response 0.78452618 2.156546e-01 0.2300315900 0.9779601
## 404    404 response 0.93517311 7.893469e-02 0.5292368424 0.9946268
## 405    405 response 0.72485983 2.882414e-01 0.1342404245 0.9781480
## 406    406 response 0.71021933 2.908696e-01 0.1331279484 0.9750710
## 407    407 response 0.90663473 1.200019e-01 0.3762884586 0.9936427
## 408    408 response 0.63943359 3.574221e-01 0.0783109856 0.9736948
## 409    409 response 0.88401475 1.444249e-01 0.3252506918 0.9917705
## 410    410 response 0.96794684 4.409441e-02 0.6507283858 0.9979611
## 411    411 response 0.84650757 1.998366e-01 0.2129954557 0.9911802
## 412    412 response 0.98661484 2.032100e-02 0.7831634388 0.9993357
## 413    413 response 0.99658754 5.323707e-03 0.9314215950 0.9998408
## 414    414 response 0.98159561 2.968643e-02 0.6804578054 0.9992520
## 415    415 response 0.46780792 3.846949e-01 0.0407985880 0.9478247
## 416    416 response 0.77692295 2.691191e-01 0.1423898500 0.9864967
## 417    417 response 0.38876901 4.057573e-01 0.0218985115 0.9475598
## 418    418 response 0.73216104 2.982070e-01 0.1218677628 0.9817664
## 419    419 response 0.91547419 1.188623e-01 0.3479097969 0.9954723
## 420    420 response 0.66420092 3.742844e-01 0.0686904835 0.9814966
## 421    421 response 0.96355190 5.632992e-02 0.5327193629 0.9983714
## 422    422 response 0.99054309 1.529684e-02 0.8101427542 0.9996112
## 423    423 response 0.95031990 8.214539e-02 0.3872233035 0.9982760
## 424    424 response 0.50922026 3.631642e-01 0.0567198819 0.9471004
## 425    425 response 0.80434193 2.282420e-01 0.1932739520 0.9860219
## 426    426 response 0.42882232 3.957805e-01 0.0306587156 0.9468682
## 427    427 response 0.76340637 2.610906e-01 0.1595239506 0.9820960
## 428    428 response 0.92745365 9.761415e-02 0.4267112510 0.9954665
## 429    429 response 0.70012719 3.362157e-01 0.0918866982 0.9817759
## 430    430 response 0.96894864 4.715118e-02 0.5912191150 0.9985169
## 431    431 response 0.99197662 1.262977e-02 0.8464683800 0.9996394
## 432    432 response 0.95758962 6.894407e-02 0.4476216576 0.9984130
## 433    433 response 0.06107921 5.845450e-02 0.0087464622 0.3241427
## 434    434 response 0.20492558 1.689404e-01 0.0326713077 0.6629489
## 435    435 response 0.04495475 5.429758e-02 0.0039313572 0.3595372
## 436    436 response 0.16826157 1.442628e-01 0.0261255737 0.6040505
## 437    437 response 0.44491758 2.616261e-01 0.0913271401 0.8647227
## 438    438 response 0.12768981 1.408310e-01 0.0121327031 0.6356566
## 439    439 response 0.66175486 2.759922e-01 0.1486107202 0.9563862
## 440    440 response 0.88573474 1.290928e-01 0.3888712205 0.9895210
## 441    441 response 0.58603095 3.437233e-01 0.0809601874 0.9578935
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## 444    444 response 0.01660187 1.990738e-02 0.0015447042 0.1555629
## 445    445 response 0.06764789 5.519949e-02 0.0128849145 0.2873971
## 446    446 response 0.22328513 1.586517e-01 0.0456691648 0.6332859
## 447    447 response 0.04988146 5.655952e-02 0.0050366094 0.3525380
## 448    448 response 0.41234688 2.541588e-01 0.0824119806 0.8457271
## 449    449 response 0.73545904 2.147185e-01 0.2422196011 0.9602867
## 450    450 response 0.33674919 2.920228e-01 0.0376729059 0.8681596
## 451    451 response 0.02680167 3.515164e-02 0.0019587242 0.2787348
## 452    452 response 0.09838022 1.200521e-01 0.0076297348 0.6076243
## 453    453 response 0.01953792 3.010774e-02 0.0009145738 0.3025475
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## 455    455 response 0.25335620 2.586975e-01 0.0227280383 0.8319599
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## 459    459 response 0.37472881 3.957076e-01 0.0214142624 0.9425723
## 460    460 response 0.08635802 7.804157e-02 0.0134190595 0.3964438
## 461    461 response 0.27246212 1.995648e-01 0.0494836743 0.7292912
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## 464    464 response 0.53802513 2.556318e-01 0.1343095593 0.8973545
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## 468    468 response 0.67287203 3.059507e-01 0.1188818568 0.9690957
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## 470    470 response 0.11841117 9.669719e-02 0.0213924689 0.4521386
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## 472    472 response 0.09536913 7.573300e-02 0.0185189233 0.3706861
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## 475    475 response 0.50483746 2.620502e-01 0.1155484910 0.8883482
## 476    476 response 0.80156765 1.753804e-01 0.3175644358 0.9722730
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## 479    479 response 0.13684673 1.531864e-01 0.0123270197 0.6682092
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## 485    485 response 0.82663342 2.125109e-01 0.2067845198 0.9886635
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## 489    489 response 0.09039202 1.018884e-01 0.0086832333 0.5299453
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## 495    495 response 0.74928941 2.607181e-01 0.1644683670 0.9784375
## 496    496 response 0.04694432 4.217947e-02 0.0077024805 0.2381332
## 497    497 response 0.16329129 1.320586e-01 0.0285158470 0.5647553
## 498    498 response 0.03441459 4.149433e-02 0.0030741572 0.2917578
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## 518    518 response 0.93549576 9.434565e-02 0.4037136768 0.9967914
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## 520    520 response 0.97252709 4.474898e-02 0.5705378478 0.9989410
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## 529    529 response 0.92698695 1.155131e-01 0.3092197318 0.9972307
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## 544    544 response 0.84451798 1.302683e-01 0.4372773991 0.9743366
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## 580    580 response 0.73893915 1.988980e-01 0.2728204271 0.9552672
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## 720    720 response 0.89056492 1.025333e-01 0.5086276022 0.9846101
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## 800    800 response 0.95282489 3.728822e-02 0.7989371762 0.9903535
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## 943    943 response 0.87142116 1.370338e-01 0.3814321852 0.9867529
## 944    944 response 0.96409640 4.297484e-02 0.7020350851 0.9967430
## 945    945 response 0.83062177 1.971492e-01 0.2393080828 0.9870874
## 946    946 response 0.82021313 1.985613e-01 0.2457663297 0.9845854
## 947    947 response 0.94757700 6.670545e-02 0.5652853398 0.9960358
## 948    948 response 0.76750018 2.662046e-01 0.1506321942 0.9839860
## 949    949 response 0.93415589 8.274264e-02 0.5039429465 0.9949782
## 950    950 response 0.98252104 2.318873e-02 0.7994162103 0.9987403
## 951    951 response 0.91123517 1.199066e-01 0.3596962803 0.9946977
## 952    952 response 0.99276437 1.068619e-02 0.8813981281 0.9996054
## 953    953 response 0.99816385 2.763579e-03 0.9658711977 0.9999042
## 954    954 response 0.99002781 1.577214e-02 0.8125711216 0.9995603
## 955    955 response 0.62067069 3.516232e-01 0.0805591438 0.9683105
## 956    956 response 0.86636182 1.729670e-01 0.2575190591 0.9918150
## 957    957 response 0.54211325 4.127694e-01 0.0435082904 0.9685691
## 958    958 response 0.83575238 2.019895e-01 0.2214778615 0.9891318
## 959    959 response 0.95274226 6.663123e-02 0.5257763050 0.9972796
## 960    960 response 0.78640905 2.747443e-01 0.1298311398 0.9891135
## 961    961 response 0.98008331 3.052342e-02 0.6966268276 0.9990526
## 962    962 response 0.99489720 8.054219e-03 0.8969134560 0.9997712
## 963    963 response 0.97268268 4.529922e-02 0.5575263077 0.9990072
## 964    964 response 0.65886218 3.144271e-01 0.1106989137 0.9677070
## 965    965 response 0.88442300 1.418798e-01 0.3350506577 0.9914685
## 966    966 response 0.58289886 3.815611e-01 0.0605825585 0.9680349
## 967    967 response 0.85726889 1.706386e-01 0.2807941916 0.9892931
## 968    968 response 0.95967255 5.387456e-02 0.6085353464 0.9972625
## 969    969 response 0.81294279 2.368705e-01 0.1702666454 0.9892520
## 970    970 response 0.98307530 2.540235e-02 0.7445111245 0.9991370
## 971    971 response 0.99567359 6.632868e-03 0.9183982337 0.9997875
## 972    972 response 0.97676006 3.773603e-02 0.6177811212 0.9990858
## 973    973 response 0.10801137 8.634838e-02 0.0204758790 0.4122639
## 974    974 response 0.32421980 1.980726e-01 0.0754178020 0.7383492
## 975    975 response 0.08056021 8.670696e-02 0.0087570385 0.4649532
## 976    976 response 0.27355589 1.817826e-01 0.0589925915 0.6934350
## 977    977 response 0.59871531 2.246424e-01 0.1927123059 0.9031488
## 978    978 response 0.21413161 1.976391e-01 0.0265421848 0.7313970
## 979    979 response 0.78456445 1.937701e-01 0.2779889547 0.9717881
## 980    980 response 0.93518684 7.168393e-02 0.5869243082 0.9932216
## 981    981 response 0.72490498 2.681377e-01 0.1588981996 0.9735140
## 982    982 response 0.04162201 3.078558e-02 0.0094780544 0.1646576
## 983    983 response 0.14681008 9.869688e-02 0.0354271366 0.4463381
## 984    984 response 0.03046743 3.348418e-02 0.0033955868 0.2247086
## 985    985 response 0.11898766 7.896188e-02 0.0299338104 0.3715138
## 986    986 response 0.34858130 1.782324e-01 0.1030593262 0.7136387
## 987    987 response 0.08902529 9.002543e-02 0.0109731781 0.4625896
## 988    988 response 0.56637363 2.357320e-01 0.1660083540 0.8955123
## 989    989 response 0.83805696 1.368637e-01 0.4175897624 0.9739250
## 990    990 response 0.48588571 3.097169e-01 0.0768068642 0.9147919
## 991    991 response 0.04876348 5.886057e-02 0.0042445792 0.3813780
## 992    992 response 0.16882040 1.776933e-01 0.0166919336 0.7084723
## 993    993 response 0.03576642 5.196965e-02 0.0019308826 0.4156145
## 994    994 response 0.13749897 1.516436e-01 0.0128382528 0.6614953
## 995    995 response 0.38711649 3.049410e-01 0.0484046990 0.8869185
## 996    996 response 0.10342245 1.397433e-01 0.0059788444 0.6886908
## 997    997 response 0.60656657 3.454284e-01 0.0828622318 0.9633811
## 998    998 response 0.85932239 1.776260e-01 0.2553649601 0.9908929
## 999    999 response 0.52731272 4.082296e-01 0.0430792242 0.9650884
## 1000  1000 response 0.14961873 1.097324e-01 0.0314326669 0.4881975
## 1001  1001 response 0.41076015 2.105639e-01 0.1124525537 0.7931934
## 1002  1002 response 0.11293184 1.144291e-01 0.0133880225 0.5442940
## 1003  1003 response 0.35365004 2.011572e-01 0.0888427778 0.7543189
## 1004  1004 response 0.68432882 1.945327e-01 0.2706657063 0.9268122
## 1005  1005 response 0.28361986 2.326303e-01 0.0402858789 0.7887625
## 1006  1006 response 0.84105372 1.492289e-01 0.3724295170 0.9792448
## 1007  1007 response 0.95447327 5.010525e-02 0.6863044732 0.9950471
## 1008  1008 response 0.79290838 2.162064e-01 0.2247641411 0.9806060
## 1009  1009 response 0.05935716 4.340405e-02 0.0135647396 0.2245478
## 1010  1010 response 0.20001189 1.268582e-01 0.0502048375 0.5418257
## 1011  1011 response 0.04366616 4.738339e-02 0.0049153921 0.2967941
## 1012  1012 response 0.16404562 1.038204e-01 0.0426044824 0.4639124
## 1013  1013 response 0.43741526 1.939045e-01 0.1423339910 0.7846074
## 1014  1014 response 0.12433845 1.208437e-01 0.0158699933 0.5556147
## 1015  1015 response 0.65491011 2.169234e-01 0.2243435870 0.9256641
## 1016  1016 response 0.88261850 1.044258e-01 0.5104825403 0.9818896
## 1017  1017 response 0.57862957 3.016908e-01 0.1083180152 0.9394792
## 1018  1018 response 0.06932150 7.802040e-02 0.0069132464 0.4435075
## 1019  1019 response 0.22786815 2.122210e-01 0.0270021982 0.7583560
## 1020  1020 response 0.05113964 7.060131e-02 0.0031026781 0.4827515
## 1021  1021 response 0.18807036 1.860421e-01 0.0208257023 0.7161262
## 1022  1022 response 0.47855644 3.056515e-01 0.0768095527 0.9100997
## 1023  1023 response 0.14354657 1.787681e-01 0.0096021618 0.7434232
## 1024  1024 response 0.69136850 2.970999e-01 0.1275877221 0.9716814
## 1025  1025 response 0.89873939 1.287522e-01 0.3567341057 0.9930093
## 1026  1026 response 0.61845180 3.745734e-01 0.0673434649 0.9732523
## 1027  1027 response 0.20359548 1.408003e-01 0.0445345280 0.5837021
## 1028  1028 response 0.50319958 2.188074e-01 0.1541142136 0.8491932
## 1029  1029 response 0.15610291 1.507104e-01 0.0192690124 0.6352415
## 1030  1030 response 0.44289749 2.181607e-01 0.1232116390 0.8181019
## 1031  1031 response 0.75902833 1.653512e-01 0.3487566364 0.9487888
## 1032  1032 response 0.36517938 2.655456e-01 0.0574310318 0.8445023
## 1033  1033 response 0.88490390 1.137624e-01 0.4626915203 0.9856413
## 1034  1034 response 0.96821570 3.549142e-02 0.7606188564 0.9965875
## 1035  1035 response 0.84763468 1.698232e-01 0.2971211646 0.9865254
## 1036  1036 response 0.08398701 6.356484e-02 0.0178321752 0.3164837
## 1037  1037 response 0.26647178 1.642294e-01 0.0654144652 0.6534331
## 1038  1038 response 0.06221578 6.803366e-02 0.0067038690 0.3947286
## 1039  1039 response 0.22186911 1.390386e-01 0.0555526354 0.5802147
## 1040  1040 response 0.53045315 2.076941e-01 0.1805846788 0.8527480
## 1041  1041 response 0.17102929 1.617246e-01 0.0215824742 0.6586660
## 1042  1042 response 0.73386383 1.944162e-01 0.2815670429 0.9509832
## 1043  1043 response 0.91614504 8.000636e-02 0.5865967490 0.9882520
## 1044  1044 response 0.66613876 2.808343e-01 0.1437872642 0.9595240
## 1045  1045 response 0.09765673 1.036804e-01 0.0106699499 0.5206192
## 1046  1046 response 0.30011175 2.463698e-01 0.0412616033 0.8103298
## 1047  1047 response 0.07262294 9.602068e-02 0.0047661376 0.5615076
## 1048  1048 response 0.25181130 2.231888e-01 0.0319588622 0.7743213
## 1049  1049 response 0.57145634 2.916484e-01 0.1144207933 0.9322610
## 1050  1050 response 0.19583719 2.242294e-01 0.0147283545 0.7986868
## 1051  1051 response 0.76497429 2.446615e-01 0.1843683503 0.9791089
## 1052  1052 response 0.92803690 9.238758e-02 0.4614670434 0.9948739
## 1053  1053 response 0.70195074 3.259218e-01 0.1000493020 0.9803510
## 1054  1054 response 0.68661823 3.165810e-01 0.1091646230 0.9751083
## 1055  1055 response 0.89670398 1.364789e-01 0.3259048777 0.9936253
## 1056  1056 response 0.61320712 3.885867e-01 0.0600719181 0.9752021
## 1057  1057 response 0.87201768 1.646157e-01 0.2744708852 0.9919171
## 1058  1058 response 0.96428059 5.115182e-02 0.5950690338 0.9979876
## 1059  1059 response 0.83137094 2.291067e-01 0.1669167817 0.9918244
## 1060  1060 response 0.98505087 2.378135e-02 0.7355130707 0.9993599
## 1061  1061 response 0.99618431 6.228377e-03 0.9131956865 0.9998457
## 1062  1062 response 0.97945738 3.516330e-02 0.6080717648 0.9993180
## 1063  1063 response 0.44003010 3.884229e-01 0.0345340380 0.9452455
## 1064  1064 response 0.75689494 2.910851e-01 0.1229466975 0.9857448
## 1065  1065 response 0.36248776 4.086220e-01 0.0174594860 0.9479004
## 1066  1066 response 0.70961632 3.214917e-01 0.1029960280 0.9811352
## 1067  1067 response 0.90638657 1.334932e-01 0.3071898239 0.9952925
## 1068  1068 response 0.63875821 4.030741e-01 0.0544881154 0.9819022
## 1069  1069 response 0.95940405 6.450584e-02 0.4791463033 0.9983556
## 1070  1070 response 0.98943319 1.759152e-02 0.7758489351 0.9996054
## 1071  1071 response 0.94475256 9.498044e-02 0.3257481483 0.9983506
## 1072  1072 response 0.48120686 3.775399e-01 0.0456836757 0.9472919
## 1073  1073 response 0.78609786 2.534971e-01 0.1606706753 0.9860244
## 1074  1074 response 0.40161249 4.092542e-01 0.0232827775 0.9497401
## 1075  1075 response 0.74256693 2.892383e-01 0.1294096954 0.9824483
## 1076  1076 response 0.91954078 1.121702e-01 0.3692591302 0.9955378
## 1077  1077 response 0.67607902 3.715140e-01 0.0698398259 0.9830563
## 1078  1078 response 0.96539288 5.494210e-02 0.5263009653 0.9985743
## 1079  1079 response 0.99103344 1.476437e-02 0.8098077644 0.9996516
## 1080  1080 response 0.95279648 8.100627e-02 0.3716349405 0.9985505
## 1081  1081 response 0.68701793 2.184882e-01 0.2305295272 0.9414617
## 1082  1082 response 0.89687597 9.152610e-02 0.5556277714 0.9837381
## 1083  1083 response 0.61364776 2.610530e-01 0.1550615523 0.9321873
## 1084  1084 response 0.87222491 1.123902e-01 0.4860665930 0.9801071
## 1085  1085 response 0.96434454 3.416408e-02 0.7941503358 0.9947537
## 1086  1086 response 0.83163128 1.516142e-01 0.3716807143 0.9763274
## 1087  1087 response 0.98507821 1.736982e-02 0.8669006891 0.9985077
## 1088  1088 response 0.99619137 4.511037e-03 0.9621800599 0.9996283
## 1089  1089 response 0.97949474 2.462303e-02 0.8120720807 0.9981098
## 1090  1090 response 0.44048801 2.686630e-01 0.0850422994 0.8695931
## 1091  1091 response 0.75723670 1.968214e-01 0.2766989886 0.9621694
## 1092  1092 response 0.36291728 2.822726e-01 0.0494742428 0.8617753
## 1093  1093 response 0.70999907 2.170290e-01 0.2367614665 0.9507938
## 1094  1094 response 0.90654412 8.855476e-02 0.5556475081 0.9868848
## 1095  1095 response 0.63918687 2.717829e-01 0.1495814700 0.9469274
## 1096  1096 response 0.95947636 4.545773e-02 0.7053774112 0.9957474
## 1097  1097 response 0.98945260 1.232763e-02 0.9025671026 0.9989485
## 1098  1098 response 0.94484947 6.582453e-02 0.5902777665 0.9951156
## 1099  1099 response 0.48167077 3.467310e-01 0.0575771042 0.9339265
## 1100  1100 response 0.78641015 2.287679e-01 0.2032704581 0.9815274
## 1101  1101 response 0.40205913 3.567628e-01 0.0353842686 0.9249564
## 1102  1102 response 0.74292199 2.635745e-01 0.1619703964 0.9773805
## 1103  1103 response 0.91967815 1.005889e-01 0.4425311415 0.9939814
## 1104  1104 response 0.67648583 3.211680e-01 0.1054019788 0.9737613
## 1105  1105 response 0.96545491 5.021167e-02 0.5937694968 0.9981321
## 1106  1106 response 0.99104994 1.334394e-02 0.8530266716 0.9995269
## 1107  1107 response 0.95287998 7.051847e-02 0.4821367908 0.9977286
## 1108  1108 response 0.76130306 1.782805e-01 0.3179904203 0.9561733
## 1109  1109 response 0.92666863 6.476355e-02 0.6612032520 0.9879260
## 1110  1110 response 0.69768410 2.248356e-01 0.2221864478 0.9490955
## 1111  1111 response 0.90841203 8.083988e-02 0.5962882860 0.9852081
## 1112  1112 response 0.97518476 2.312743e-02 0.8579088918 0.9961056
## 1113  1113 response 0.87770294 1.122425e-01 0.4803560604 0.9823693
## 1114  1114 response 0.98968227 1.172157e-02 0.9100026147 0.9989022
## 1115  1115 response 0.99737564 3.023057e-03 0.9753164235 0.9997265
## 1116  1116 response 0.98579673 1.667370e-02 0.8705645998 0.9986057
## 1117  1117 response 0.53355963 2.710828e-01 0.1191581182 0.9063030
## 1118  1118 response 0.81924065 1.583538e-01 0.3578613823 0.9735857
## 1119  1119 response 0.45286482 3.016883e-01 0.0707317568 0.9000066
## 1120  1120 response 0.78057184 1.801485e-01 0.3116426188 0.9654589
## 1121  1121 response 0.93374996 6.448890e-02 0.6462388362 0.9908879
## 1122  1122 response 0.72020103 2.365365e-01 0.2050265434 0.9625323
## 1123  1123 response 0.97175327 3.196689e-02 0.7782595834 0.9970432
## 1124  1124 response 0.99271694 8.504904e-03 0.9314592731 0.9992691
## 1125  1125 response 0.96137933 4.665533e-02 0.6795597318 0.9965893
## 1126  1126 response 0.57450914 3.252562e-01 0.0904954228 0.9482476
## 1127  1127 response 0.84251261 1.727782e-01 0.2941821532 0.9856457
## 1128  1128 response 0.49418268 3.568281e-01 0.0561929872 0.9412871
## 1129  1129 response 0.80765336 2.051153e-01 0.2399414722 0.9824098
## 1130  1130 response 0.94329970 6.957232e-02 0.5651615293 0.9953261
## 1131  1131 response 0.75236970 2.625717e-01 0.1609811167 0.9796383
## 1132  1132 response 0.97596595 3.398793e-02 0.7034962053 0.9985632
## 1133  1133 response 0.99382300 8.885827e-03 0.9041079297 0.9996359
## 1134  1134 response 0.96708677 4.820460e-02 0.6016063294 0.9982540
## 1135  1135 response 0.82251187 1.431981e-01 0.4039400630 0.9694094
## 1136  1136 response 0.94834982 4.664905e-02 0.7395504242 0.9916477
## 1137  1137 response 0.77028414 1.880822e-01 0.2945486783 0.9641957
## 1138  1138 response 0.93511302 5.885471e-02 0.6828517916 0.9897394
## 1139  1139 response 0.98278808 1.612894e-02 0.8980719639 0.9973048
## 1140  1140 response 0.91249427 8.313631e-02 0.5753737190 0.9876923
## 1141  1141 response 0.99287605 8.091451e-03 0.9367324610 0.9992383
## 1142  1142 response 0.99819234 2.076136e-03 0.9830230351 0.9998101
## 1143  1143 response 0.99018131 1.151559e-02 0.9082218566 0.9990279
## 1144  1144 response 0.62435228 2.626630e-01 0.1561777752 0.9372077
## 1145  1145 response 0.86816534 1.259149e-01 0.4325665097 0.9827248
## 1146  1146 response 0.54599958 3.080285e-01 0.0952638434 0.9321398
## 1147  1147 response 0.83789170 1.469924e-01 0.3826251409 0.9773275
## 1148  1148 response 0.95344267 4.761641e-02 0.7144227452 0.9940703
## 1149  1149 response 0.78902883 1.995171e-01 0.2630693537 0.9751138
## 1150  1150 response 0.98038685 2.287590e-02 0.8292044956 0.9980607
## 1151  1151 response 0.99497613 6.002196e-03 0.9495524652 0.9995204
## 1152  1152 response 0.97309590 3.344416e-02 0.7473322871 0.9977442
## 1153  1153 response 0.66237474 2.900153e-01 0.1337917660 0.9614183
## 1154  1154 response 0.88601485 1.279856e-01 0.3933735161 0.9893815
## 1155  1155 response 0.58670294 3.379977e-01 0.0845826322 0.9561590
## 1156  1156 response 0.85917518 1.555010e-01 0.3294885333 0.9869703
## 1157  1157 response 0.96027454 4.824481e-02 0.6696202654 0.9965433
## 1158  1158 response 0.81531355 2.069277e-01 0.2299620907 0.9849075
## 1159  1159 response 0.98333401 2.318904e-02 0.7865523014 0.9989426
## 1160  1160 response 0.99574056 5.993329e-03 0.9361204903 0.9997319
## 1161  1161 response 0.97711306 3.309450e-02 0.7013105949 0.9987135
## 1162  1162 response 0.97544043 3.642696e-02 0.6685332903 0.9987231
## 1163  1163 response 0.99368541 9.414647e-03 0.8926219353 0.9996644
## 1164  1164 response 0.96637379 5.080556e-02 0.5729530637 0.9983782
## 1165  1165 response 0.99196873 1.201383e-02 0.8653827348 0.9995788
## 1166  1166 response 0.99796073 3.043617e-03 0.9630982423 0.9998910
## 1167  1167 response 0.98893461 1.688880e-02 0.8127372812 0.9994569
## 1168  1168 response 0.99916352 1.349833e-03 0.9805452507 0.9999647
## 1169  1169 response 0.99978875 3.417391e-04 0.9949884524 0.9999911
## 1170  1170 response 0.99884434 1.885255e-03 0.9723715167 0.9999529
## 1171  1171 response 0.93440383 1.060888e-01 0.3238818905 0.9976448
## 1172  1172 response 0.98259026 2.936265e-02 0.6612763694 0.9993875
## 1173  1173 response 0.91156125 1.453437e-01 0.2313437723 0.9971751
## 1174  1174 response 0.97792425 3.673826e-02 0.6119619330 0.9991970
## 1175  1175 response 0.99433475 9.542910e-03 0.8638241787 0.9997941
## 1176  1176 response 0.96974612 5.187305e-02 0.5005077289 0.9990257
## 1177  1177 response 0.99767121 4.095184e-03 0.9312099952 0.9999262
## 1178  1178 response 0.99941121 1.040669e-03 0.9814879251 0.9999816
## 1179  1179 response 0.99678444 5.811988e-03 0.8986719469 0.9999077
## 1180  1180 response 0.94386498 8.417188e-02 0.4276518072 0.9973641
## 1181  1181 response 0.98521132 2.276980e-02 0.7569414547 0.9992988
## 1182  1182 response 0.92404926 1.163766e-01 0.3205287925 0.9968232
## 1183  1183 response 0.98123438 2.898019e-02 0.7051784796 0.9991259
## 1184  1184 response 0.99519631 7.435446e-03 0.9076405266 0.9997711
## 1185  1185 response 0.97425021 4.105700e-02 0.6048132423 0.9989320
## 1186  1186 response 0.99802637 3.292467e-03 0.9502524104 0.9999253
## 1187  1187 response 0.99950114 8.318054e-04 0.9870420751 0.9999810
## 1188  1188 response 0.99727447 4.665752e-03 0.9267623922 0.9999055
## 1189  1189 response 0.38297850 1.552522e-01 0.1462133263 0.6922724
## 1190  1190 response 0.71091778 1.310125e-01 0.4134774623 0.8956033
## 1191  1191 response 0.30992544 1.908078e-01 0.0724889943 0.7207398
## 1192  1192 response 0.65872920 1.492985e-01 0.3443376644 0.8764567
## 1193  1193 response 0.88436252 6.777974e-02 0.6759841864 0.9655582
## 1194  1194 response 0.58275502 2.148710e-01 0.1981479951 0.8875640
## 1195  1195 response 0.94915348 4.502362e-02 0.7499369623 0.9914670
## 1196  1196 response 0.98665962 1.259402e-02 0.9189527711 0.9979315
## 1197  1197 response 0.93106826 6.916199e-02 0.6203688546 0.9911225
## 1198  1198 response 0.18207958 9.653837e-02 0.0588104809 0.4423037
## 1199  1199 response 0.46865353 1.587054e-01 0.2018635725 0.7546533
## 1200  1200 response 0.13873171 1.137781e-01 0.0243110639 0.5101196
## 1201  1201 response 0.40908241 1.466103e-01 0.1741541909 0.6944373
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## 1203  1203 response 0.33374331 2.025703e-01 0.0774975713 0.7491789
## 1204  1204 response 0.87004566 9.279333e-02 0.5726868424 0.9709682
## 1205  1205 response 0.96367099 2.991090e-02 0.8325201945 0.9929850
## 1206  1206 response 0.82889551 1.478505e-01 0.3857117150 0.9739417
## 1207  1207 response 0.20808798 1.872213e-01 0.0275643792 0.7089523
## 1208  1208 response 0.51006898 2.788317e-01 0.1046488072 0.9026629
## 1209  1209 response 0.15975768 1.775088e-01 0.0140382179 0.7174342
## 1210  1210 response 0.44968882 2.812381e-01 0.0809620583 0.8834476
## 1211  1211 response 0.76401923 2.031141e-01 0.2624644485 0.9671653
## 1212  1212 response 0.37157384 3.066808e-01 0.0431225564 0.8858149
## 1213  1213 response 0.88767353 1.301363e-01 0.3796892984 0.9902940
## 1214  1214 response 0.96905066 3.942492e-02 0.7042292725 0.9975772
## 1215  1215 response 0.85115029 1.830677e-01 0.2519141455 0.9898062
## 1216  1216 response 0.47419727 1.510193e-01 0.2157793436 0.7472179
## 1217  1217 response 0.78133583 9.971281e-02 0.5323496223 0.9181413
## 1218  1218 response 0.39487983 2.034618e-01 0.1095131993 0.7759175
## 1219  1219 response 0.73715982 1.183923e-01 0.4585059755 0.9028128
## 1220  1220 response 0.91743753 4.611199e-02 0.7711573899 0.9734341
## 1221  1221 response 0.66989622 1.859481e-01 0.2808240285 0.9133949
## 1222  1222 response 0.96444188 3.061240e-02 0.8250312319 0.9936312
## 1223  1223 response 0.99078031 8.377098e-03 0.9468356601 0.9984602
## 1224  1224 response 0.95151672 4.797852e-02 0.7187868729 0.9934076
## 1225  1225 response 0.24440130 1.201814e-01 0.0828508319 0.5366418
## 1226  1226 response 0.56170185 1.573574e-01 0.2680251839 0.8176951
## 1227  1227 response 0.18965680 1.461194e-01 0.0350366503 0.6013784
## 1228  1228 response 0.50146559 1.517097e-01 0.2344180245 0.7676796
## 1229  1229 response 0.79941355 9.842135e-02 0.5447888119 0.9299310
## 1230  1230 response 0.42124113 2.213345e-01 0.1093828614 0.8117925
## 1231  1231 response 0.90678400 6.909297e-02 0.6621504862 0.9797090
## 1232  1232 response 0.97471061 2.096796e-02 0.8791649619 0.9951261
## 1233  1233 response 0.87560380 1.129431e-01 0.4797902196 0.9817248
## 1234  1234 response 0.27630455 2.132830e-01 0.0450701840 0.7554110
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## 1236  1236 response 0.21646110 2.138249e-01 0.0228124764 0.7657651
## 1237  1237 response 0.54281844 2.644476e-01 0.1282128453 0.9055303
## 1238  1238 response 0.82469192 1.524671e-01 0.3732058824 0.9737993
## 1239  1239 response 0.46211063 3.107328e-01 0.0690085879 0.9087380
## 1240  1240 response 0.91988730 9.150009e-02 0.5018259892 0.9924177
## 1241  1241 response 0.97849200 2.632934e-02 0.7966569375 0.9981107
## 1242  1242 response 0.89257081 1.328647e-01 0.3546883317 0.9921006
## 1243  1243 response 0.56717138 1.496741e-01 0.2840071251 0.8123435
## 1244  1244 response 0.83849741 7.948418e-02 0.6216820507 0.9425399
## 1245  1245 response 0.48669734 2.125342e-01 0.1517886519 0.8339929
## 1246  1246 response 0.80295727 9.693120e-02 0.5508519721 0.9312242
## 1247  1247 response 0.94167622 3.347923e-02 0.8301800337 0.9815922
## 1248  1248 response 0.74674711 1.585535e-01 0.3631119466 0.9384603
## 1249  1249 response 0.97525326 2.149152e-02 0.8731015254 0.9955895
## 1250  1250 response 0.99363638 5.782026e-03 0.9629785138 0.9989343
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## 1259  1259 response 0.98245659 1.528887e-02 0.9077772694 0.9968712
## 1260  1260 response 0.91093170 8.637478e-02 0.5593507643 0.9880098
## 1261  1261 response 0.35680819 2.356370e-01 0.0690320945 0.8058340
## 1262  1262 response 0.68729988 2.156067e-01 0.2352839637 0.9401255
## 1263  1263 response 0.28642977 2.503067e-01 0.0351248915 0.8157048
## 1264  1264 response 0.63304833 2.379381e-01 0.1881260452 0.9277658
## 1265  1265 response 0.87237102 1.127120e-01 0.4844971240 0.9802800
## 1266  1266 response 0.55521731 2.994393e-01 0.1038862178 0.9307533
## 1267  1267 response 0.94345112 6.423032e-02 0.6117809817 0.9943704
## 1268  1268 response 0.98509747 1.781129e-02 0.8597543387 0.9985990
## 1269  1269 response 0.92350115 9.535022e-02 0.4614717975 0.9941544
## 1270  1270 response 0.91823831 9.936088e-02 0.4562914050 0.9933903
## 1271  1271 response 0.97802047 2.818117e-02 0.7731117117 0.9982820
## 1272  1272 response 0.89042652 1.403153e-01 0.3266009970 0.9927091
## 1273  1273 response 0.97216441 3.567950e-02 0.7249214029 0.9978442
## 1274  1274 response 0.99282520 9.366563e-03 0.9131559884 0.9994512
## 1275  1275 response 0.96193554 5.217789e-02 0.6074674332 0.9975826
## 1276  1276 response 0.99704805 4.288094e-03 0.9510515658 0.9998297
## 1277  1277 response 0.99925330 1.096640e-03 0.9868545304 0.9999581
## 1278  1278 response 0.99592495 6.242601e-03 0.9230138731 0.9997993
## 1279  1279 response 0.80111089 2.399517e-01 0.1738732714 0.9871937
## 1280  1280 response 0.94103424 8.316520e-02 0.4582172263 0.9966902
## 1281  1281 response 0.74454158 3.129311e-01 0.1038669322 0.9865389
## 1282  1282 response 0.92606877 1.013911e-01 0.4074016913 0.9956375
## 1283  1283 response 0.98024864 2.868410e-02 0.7312265632 0.9988967
## 1284  1284 response 0.90063233 1.445149e-01 0.2767402291 0.9953639
## 1285  1285 response 0.99181258 1.272013e-02 0.8489974687 0.9996170
## 1286  1286 response 0.99792083 3.282263e-03 0.9557726521 0.9999062
## 1287  1287 response 0.98872014 1.872624e-02 0.7653861204 0.9995756
## 1288  1288 response 0.82622185 1.992660e-01 0.2384774996 0.9863357
## 1289  1289 response 0.94959066 6.550474e-02 0.5631028217 0.9963810
## 1290  1290 response 0.77478690 2.667150e-01 0.1467520430 0.9856760
## 1291  1291 response 0.93665061 8.188225e-02 0.4972382809 0.9954963
## 1292  1292 response 0.98321621 2.259219e-02 0.8001332127 0.9988348
## 1293  1293 response 0.91451885 1.183021e-01 0.3552729233 0.9952087
## 1294  1294 response 0.99305502 1.039364e-02 0.8817419281 0.9996355
## 1295  1295 response 0.99823799 2.660589e-03 0.9669080993 0.9999090
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## 1297  1297 response 0.29016641 1.338756e-01 0.1026144185 0.5937176
## 1298  1298 response 0.61826598 1.504679e-01 0.3170502174 0.8496362
## 1299  1299 response 0.22826766 1.621964e-01 0.0464105077 0.6425547
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## 1301  1301 response 0.83434725 9.246660e-02 0.5757864713 0.9492139
## 1302  1302 response 0.47912274 2.288569e-01 0.1322859936 0.8473260
## 1303  1303 response 0.92477785 6.547437e-02 0.6602398225 0.9873060
## 1304  1304 response 0.97988321 1.911454e-02 0.8792482192 0.9969405
## 1305  1305 response 0.89894573 1.010671e-01 0.5012488905 0.9874590
## 1306  1306 response 0.12786467 6.650990e-02 0.0435660701 0.3206010
## 1307  1307 response 0.36744315 1.376918e-01 0.1539054144 0.6497385
## 1308  1308 response 0.09591031 8.240926e-02 0.0162028294 0.4059349
## 1309  1309 response 0.31315488 1.200639e-01 0.1324492521 0.5765563
## 1310  1310 response 0.64367708 1.318141e-01 0.3693387576 0.8478419
## 1311  1311 response 0.24806598 1.704118e-01 0.0521751832 0.6641080
## 1312  1312 response 0.81513254 1.199667e-01 0.4808513618 0.9545252
## 1313  1313 response 0.94585800 4.282858e-02 0.7722960457 0.9890092
## 1314  1314 response 0.76136337 1.912433e-01 0.2884632583 0.9616979
## 1315  1315 response 0.14752575 1.416913e-01 0.0186632359 0.6116087
## 1316  1316 response 0.40676147 2.679226e-01 0.0721905973 0.8580000
## 1317  1317 response 0.11128490 1.322530e-01 0.0090257321 0.6325664
## 1318  1318 response 0.34987720 2.571783e-01 0.0554311175 0.8315188
## 1319  1319 response 0.68074370 2.444579e-01 0.1904013178 0.9508177
## 1320  1320 response 0.28027017 2.685742e-01 0.0278500737 0.8410994
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## 1325  1325 response 0.70178597 1.224627e-01 0.4277429952 0.8810802
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## 1332  1332 response 0.92818830 7.178487e-02 0.6102526680 0.9907148
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## 1338  1338 response 0.32402587 1.996272e-01 0.0743545335 0.7409638
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## 1340  1340 response 0.96209772 3.039537e-02 0.8320756363 0.9923684
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## 1349  1349 response 0.96770255 3.927897e-02 0.7184418441 0.9971657
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## 1380  1380 response 0.84256714 1.937455e-01 0.2341055600 0.9894412
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## 1388  1388 response 0.91312256 1.177828e-01 0.3640949127 0.9948438
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## 1400  1400 response 0.97473547 3.379867e-02 0.7236781378 0.9982436
## 1401  1401 response 0.87571368 1.668902e-01 0.2586708763 0.9930206
## 1402  1402 response 0.98949264 1.572577e-02 0.8292893769 0.9994525
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## 1407  1407 response 0.18651981 1.459711e-01 0.0336226265 0.6017560
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## 1409  1409 response 0.79609929 1.146516e-01 0.4944384093 0.9397113
## 1410  1410 response 0.41624124 2.335377e-01 0.0977933322 0.8242689
## 1411  1411 response 0.90503305 8.339995e-02 0.5872453620 0.9845761
## 1412  1412 response 0.97419927 2.515543e-02 0.8415304527 0.9962891
## 1413  1413 response 0.87334897 1.275934e-01 0.4182423845 0.9851060
## 1414  1414 response 0.10205129 5.518135e-02 0.0337358035 0.2700444
## 1415  1415 response 0.31048203 1.290683e-01 0.1213712781 0.5947832
## 1416  1416 response 0.07598585 6.833682e-02 0.0120591546 0.3565060
## 1417  1417 response 0.26113530 1.097435e-01 0.1038765367 0.5186720
## 1418  1418 response 0.58338736 1.433463e-01 0.3059183706 0.8164772
## 1419  1419 response 0.20365275 1.524602e-01 0.0389354375 0.6174878
## 1420  1420 response 0.77365162 1.418064e-01 0.4114158083 0.9435454
## 1421  1421 response 0.93123502 5.460175e-02 0.7180113576 0.9863061
## 1422  1422 response 0.71207916 2.214886e-01 0.2293697388 0.9535971
## 1423  1423 response 0.11828150 1.190249e-01 0.0141238182 0.5567685
## 1424  1424 response 0.34704929 2.555272e-01 0.0550888451 0.8289316
## 1425  1425 response 0.08847908 1.099484e-01 0.0066642804 0.5840958
## 1426  1426 response 0.29437193 2.383331e-01 0.0421647041 0.7981230
## 1427  1427 response 0.62305287 2.687059e-01 0.1493245435 0.9396282
## 1428  1428 response 0.23186911 2.421219e-01 0.0205885765 0.8125463
## 1429  1429 response 0.80136989 2.108673e-01 0.2311964774 0.9818599
## 1430  1430 response 0.94112442 7.422333e-02 0.5364809237 0.9954908
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## 1432  1432 response 0.31526489 1.367135e-01 0.1174425104 0.6143506
## 1433  1433 response 0.64591978 1.427749e-01 0.3492374258 0.8611287
## 1434  1434 response 0.24989699 1.735666e-01 0.0514669654 0.6716491
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## 1436  1436 response 0.85014173 8.382942e-02 0.6097023232 0.9537070
## 1437  1437 response 0.50884895 2.307808e-01 0.1449890892 0.8635690
## 1438  1438 response 0.93264609 5.862056e-02 0.6897701985 0.9885368
## 1439  1439 response 0.98209900 1.695315e-02 0.8923350082 0.9972540
## 1440  1440 response 0.90925086 9.239221e-02 0.5274505749 0.9890036
## 1441  1441 response 0.14172755 7.386241e-02 0.0478278018 0.3518559
## 1442  1442 response 0.39550155 1.451489e-01 0.1660109941 0.6825851
## 1443  1443 response 0.10673273 9.279244e-02 0.0174273567 0.4459661
## 1444  1444 response 0.33929135 1.281336e-01 0.1434730478 0.6115497
## 1445  1445 response 0.67047118 1.307202e-01 0.3895254991 0.8664514
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## 1447  1447 response 0.83239105 1.127529e-01 0.5046705628 0.9603290
## 1448  1448 response 0.95163658 3.914602e-02 0.7879133749 0.9904959
## 1449  1449 response 0.78230094 1.832921e-01 0.3035844883 0.9673444
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## 1457  1457 response 0.95872199 5.059195e-02 0.6546708838 0.9964980
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## 1459  1459 response 0.40083275 1.535403e-01 0.1604315857 0.7007826
## 1460  1460 response 0.72607006 1.252178e-01 0.4355672248 0.9010299
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## 1469  1469 response 0.48734719 1.663560e-01 0.2049458005 0.7780642
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## 1471  1471 response 0.42731082 1.546866e-01 0.1777398453 0.7203247
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## 1473  1473 response 0.35060650 2.216247e-01 0.0741790842 0.7843925
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## 1477  1477 response 0.22070532 1.780347e-01 0.0359035238 0.6829223
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## 1480  1480 response 0.46829272 2.587212e-01 0.1030740150 0.8709660
## 1481  1481 response 0.77726024 1.790989e-01 0.3147935820 0.9636434
## 1482  1482 response 0.38923181 3.006046e-01 0.0507446591 0.8836838
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## 1484  1484 response 0.97122060 3.473070e-02 0.7471633904 0.9974119
## 1485  1485 response 0.86039566 1.688798e-01 0.2814866298 0.9897914
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## 1487  1487 response 0.95783571 5.397921e-02 0.6232766421 0.9968042
## 1488  1488 response 0.80577528 2.331438e-01 0.1828713236 0.9871641
## 1489  1489 response 0.94689380 6.755164e-02 0.5616778723 0.9959855
## 1490  1490 response 0.98604224 1.851634e-02 0.8349017132 0.9989877
## 1491  1491 response 0.92806577 9.890744e-02 0.4142501165 0.9957692
## 1492  1492 response 0.99423412 8.532459e-03 0.9031566333 0.9996864
## 1493  1493 response 0.99853844 2.197751e-03 0.9727553621 0.9999235
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## 1496  1496 response 0.89068006 1.452420e-01 0.3045122187 0.9934474
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## 1499  1499 response 0.96203067 5.401786e-02 0.5826915152 0.9978297
## 1500  1500 response 0.82229205 2.393489e-01 0.1573136734 0.9913565
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## 1503  1503 response 0.97814176 3.654202e-02 0.6109339922 0.9992165
## 1504  1504 response 0.70822268 2.892466e-01 0.1350917395 0.9741739
## 1505  1505 response 0.90581194 1.182383e-01 0.3887124986 0.9931715
## 1506  1506 response 0.63719836 3.631503e-01 0.0747689971 0.9744712
## 1507  1507 response 0.88301835 1.442735e-01 0.3282462019 0.9914969
## 1508  1508 response 0.96764509 4.355752e-02 0.6617918244 0.9978171
## 1509  1509 response 0.84524536 2.041017e-01 0.2041704022 0.9914734
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## 1511  1511 response 0.99655446 5.292660e-03 0.9337723632 0.9998315
## 1512  1512 response 0.98141989 3.039890e-02 0.6680779849 0.9992791
## 1513  1513 response 0.13208168 1.009649e-01 0.0263675354 0.4609661
## 1514  1514 response 0.37615366 2.074548e-01 0.0963349762 0.7732606
## 1515  1515 response 0.09919333 1.036350e-01 0.0112126633 0.5167426
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## 1517  1517 response 0.65218440 2.081726e-01 0.2368516545 0.9188876
## 1518  1518 response 0.25508778 2.214256e-01 0.0337129197 0.7706990
## 1519  1519 response 0.82068668 1.676343e-01 0.3292354783 0.9771046
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## 1521  1521 response 0.76807331 2.385791e-01 0.1934849175 0.9785941
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## 1527  1527 response 0.10938340 1.076358e-01 0.0138902852 0.5171104
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## 1529  1529 response 0.86673356 1.156322e-01 0.4775861889 0.9788446
## 1530  1530 response 0.54291109 3.072598e-01 0.0949466618 0.9307852
## 1531  1531 response 0.06052633 7.178228e-02 0.0053972675 0.4333903
## 1532  1532 response 0.20335262 2.035570e-01 0.0212856117 0.7497477
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## 1537  1537 response 0.65958434 3.245595e-01 0.1023243090 0.9705322
## 1538  1538 response 0.88475119 1.493422e-01 0.3031401651 0.9926729
## 1539  1539 response 0.58368021 3.977380e-01 0.0536482644 0.9719677
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## 1541  1541 response 0.46697713 2.114374e-01 0.1421940641 0.8223889
## 1542  1542 response 0.13792912 1.345282e-01 0.0171224899 0.5950535
## 1543  1543 response 0.40745569 2.092229e-01 0.1117531954 0.7898414
## 1544  1544 response 0.73150607 1.733818e-01 0.3256481199 0.9389167
## 1545  1545 response 0.33224774 2.519688e-01 0.0509799772 0.8217024
## 1546  1546 response 0.86928243 1.260170e-01 0.4307026383 0.9831803
## 1547  1547 response 0.96343451 4.024656e-02 0.7373517472 0.9959724
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## 1549  1549 response 0.07347806 5.216913e-02 0.0173548480 0.2625948
## 1550  1550 response 0.23908906 1.413085e-01 0.0641602990 0.5901775
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## 1552  1552 response 0.19783362 1.187238e-01 0.0538507357 0.5165951
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## 1558  1558 response 0.08559717 9.412824e-02 0.0087867792 0.4971109
## 1559  1559 response 0.27054716 2.360416e-01 0.0343546871 0.7945154
## 1560  1560 response 0.06343745 8.616252e-02 0.0039324453 0.5374870
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## 1600  1600 response 0.98806862 1.899011e-02 0.7789249562 0.9994865
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## 1618  1618 response 0.97226722 4.432225e-02 0.5830417189 0.9988636
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## 1627  1627 response 0.98842203 1.391936e-02 0.8872626463 0.9989213
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## 1630  1630 response 0.50448128 2.817506e-01 0.1005493120 0.9026469
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## 1632  1632 response 0.42418487 3.065584e-01 0.0592144595 0.8960713
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## 1639  1639 response 0.54581054 3.516173e-01 0.0693829090 0.9509081
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## 1654  1654 response 0.99200275 9.390793e-03 0.9241825645 0.9992084
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## 1656  1656 response 0.98898134 1.336568e-02 0.8902359978 0.9989943
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## 1660  1660 response 0.82143633 1.601986e-01 0.3510307716 0.9750771
## 1661  1661 response 0.94798862 5.320022e-02 0.6874286153 0.9934234
## 1662  1662 response 0.76898100 2.151800e-01 0.2365900532 0.9727904
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## 1672  1672 response 0.98131300 2.717053e-02 0.7421256516 0.9989575
## 1673  1673 response 0.99521672 7.031551e-03 0.9200322751 0.9997343
## 1674  1674 response 0.97435734 3.864262e-02 0.6470712658 0.9987318
## 1675  1675 response 0.85699671 1.246130e-01 0.4495874388 0.9777622
## 1676  1676 response 0.95958644 3.818519e-02 0.7751199004 0.9939235
## 1677  1677 response 0.81260456 1.671097e-01 0.3354064515 0.9738620
## 1678  1678 response 0.94907470 4.873284e-02 0.7208949738 0.9926184
## 1679  1679 response 0.98663813 1.302270e-02 0.9141830564 0.9980500
## 1680  1680 response 0.93096351 6.929849e-02 0.6197030449 0.9911187
## 1681  1681 response 0.99448224 6.475557e-03 0.9469144855 0.9994512
## 1682  1682 response 0.99860159 1.651535e-03 0.9859784956 0.9998621
## 1683  1683 response 0.99239041 9.216893e-03 0.9226247066 0.9992994
## 1684  1684 response 0.68247520 2.505916e-01 0.1822316379 0.9539833
## 1685  1685 response 0.89491328 1.065688e-01 0.4802444479 0.9874195
## 1686  1686 response 0.60864674 3.040945e-01 0.1129881762 0.9499711
## 1687  1687 response 0.86986114 1.269793e-01 0.4258614128 0.9836689
## 1688  1688 response 0.96361384 3.886322e-02 0.7510206177 0.9957176
## 1689  1689 response 0.82866406 1.754117e-01 0.3004229694 0.9819724
## 1690  1690 response 0.98476570 1.843878e-02 0.8531997210 0.9986110
## 1691  1691 response 0.99611068 4.788851e-03 0.9578288007 0.9996539
## 1692  1692 response 0.97906778 2.695477e-02 0.7803098954 0.9983791
## 1693  1693 response 0.71727856 2.694725e-01 0.1579651295 0.9716798
## 1694  1694 response 0.90951874 1.066921e-01 0.4419481991 0.9922232
## 1695  1695 response 0.64736102 3.252325e-01 0.1011182921 0.9676976
## 1696  1696 response 0.88751080 1.316863e-01 0.3729231192 0.9905367
## 1697  1697 response 0.96900170 3.891415e-02 0.7115974991 0.9974814
## 1698  1698 response 0.85094353 1.784476e-01 0.2659191021 0.9890073
## 1699  1699 response 0.98706356 1.849732e-02 0.8168994660 0.9992343
## 1700  1700 response 0.99670306 4.743706e-03 0.9469542120 0.9998047
## 1701  1701 response 0.98220955 2.643717e-02 0.7399714287 0.9990673
## 1702  1702 response 0.98090211 2.894002e-02 0.7132117307 0.9990582
## 1703  1703 response 0.99511002 7.406262e-03 0.9115376527 0.9997512
## 1704  1704 response 0.97379759 4.051837e-02 0.6231617409 0.9988042
## 1705  1705 response 0.99377821 9.483781e-03 0.8876749803 0.9996903
## 1706  1706 response 0.99842233 2.392034e-03 0.9699351024 0.9999195
## 1707  1707 response 0.99142178 1.334778e-02 0.8420826935 0.9996009
## 1708  1708 response 0.99935304 1.061425e-03 0.9840922521 0.9999741
## 1709  1709 response 0.99983663 2.681744e-04 0.9959357307 0.9999935
## 1710  1710 response 0.99910611 1.482868e-03 0.9773514018 0.9999655
## 1711  1711 response 0.94850971 8.573397e-02 0.3711937755 0.9982634
## 1712  1712 response 0.98648395 2.318158e-02 0.7073704822 0.9995464
## 1713  1713 response 0.93021235 1.186209e-01 0.2706336717 0.9979159
## 1714  1714 response 0.98284328 2.913744e-02 0.6595582126 0.9994100
## 1715  1715 response 0.99561351 7.501655e-03 0.8867718922 0.9998480
## 1716  1716 response 0.97644355 4.126644e-02 0.5518626827 0.9992838
## 1717  1717 response 0.99819823 3.219716e-03 0.9431310630 0.9999460
## 1718  1718 response 0.99954463 8.163026e-04 0.9849151446 0.9999864
## 1719  1719 response 0.99751164 4.569323e-03 0.9157243140 0.9999324
## 1720  1720 response 0.95603206 6.791623e-02 0.4781604285 0.9980657
## 1721  1721 response 0.98852566 1.800566e-02 0.7932790035 0.9994832
## 1722  1722 response 0.94023939 9.467781e-02 0.3666275545 0.9976671
## 1723  1723 response 0.98542682 2.301271e-02 0.7451888724 0.9993608
## 1724  1724 response 0.99628133 5.858758e-03 0.9235240222 0.9998318
## 1725  1725 response 0.97997114 3.267917e-02 0.6518325519 0.9992186
## 1726  1726 response 0.99847314 2.593070e-03 0.9588815505 0.9999455
## 1727  1727 response 0.99961419 6.536737e-04 0.9894156660 0.9999861
## 1728  1728 response 0.99789109 3.674275e-03 0.9392027773 0.9999310
## 1729  1729 response 0.44526579 1.697418e-01 0.1726860298 0.7552985
## 1730  1730 response 0.76077861 1.204217e-01 0.4650792171 0.9208401
## 1731  1731 response 0.36740617 2.129239e-01 0.0879500775 0.7776812
## 1732  1732 response 0.71396985 1.423305e-01 0.3890593297 0.9072706
## 1733  1733 response 0.90817181 5.746404e-02 0.7193009557 0.9744698
## 1734  1734 response 0.64364058 2.087527e-01 0.2327926205 0.9149018
## 1735  1735 response 0.96022259 3.669907e-02 0.7859482395 0.9937385
## 1736  1736 response 0.98965278 1.002899e-02 0.9334595845 0.9984688
## 1737  1737 response 0.94584985 5.649915e-02 0.6678021061 0.9934543
## 1738  1738 response 0.22352973 1.192515e-01 0.0696644859 0.5253350
## 1739  1739 response 0.53284184 1.667737e-01 0.2347663839 0.8091820
## 1740  1740 response 0.17239369 1.398898e-01 0.0295845440 0.5873349
## 1741  1741 response 0.47236503 1.622514e-01 0.1999546133 0.7622895
## 1742  1742 response 0.78007749 1.117196e-01 0.4974419550 0.9270659
## 1743  1743 response 0.39312492 2.248989e-01 0.0926427664 0.8043008
## 1744  1744 response 0.89645761 7.972260e-02 0.6165882664 0.9789967
## 1745  1745 response 0.97167401 2.438455e-02 0.8580041768 0.9948912
## 1746  1746 response 0.86234763 1.274946e-01 0.4328631896 0.9809234
## 1747  1747 response 0.25362298 2.194311e-01 0.0338514614 0.7672006
## 1748  1748 response 0.57380403 2.776164e-01 0.1270207343 0.9256931
## 1749  1749 response 0.19735239 2.127746e-01 0.0173677379 0.7737785
## 1750  1750 response 0.51379131 2.900932e-01 0.0978944725 0.9114282
## 1751  1751 response 0.80720496 1.785941e-01 0.3063396351 0.9754261
## 1752  1752 response 0.43330887 3.280347e-01 0.0528154105 0.9129313
## 1753  1753 response 0.91086980 1.079678e-01 0.4299097684 0.9928312
## 1754  1754 response 0.97589822 3.141586e-02 0.7471049053 0.9982013
## 1755  1755 response 0.88087673 1.540693e-01 0.2938023234 0.9924491
## 1756  1756 response 0.53837553 1.587359e-01 0.2501080978 0.8030781
## 1757  1757 response 0.82209047 8.926860e-02 0.5828073841 0.9385921
## 1758  1758 response 0.45766702 2.176367e-01 0.1314386382 0.8247435
## 1759  1759 response 0.78387047 1.096043e-01 0.5050927663 0.9279996
## 1760  1760 response 0.93493782 3.878769e-02 0.8046107763 0.9804475
## 1761  1761 response 0.72408641 1.735920e-01 0.3234031000 0.9351010
## 1762  1762 response 0.97227997 2.485071e-02 0.8519915234 0.9953428
## 1763  1763 response 0.99285562 6.673680e-03 0.9564888175 0.9988630
## 1764  1764 response 0.96209191 3.890105e-02 0.7583021049 0.9951528
## 1765  1765 response 0.29492324 1.434485e-01 0.0976458178 0.6178605
## 1766  1766 response 0.62367567 1.577428e-01 0.3074440439 0.8608603
## 1767  1767 response 0.23234190 1.746666e-01 0.0425122230 0.6735427
## 1768  1768 response 0.56536617 1.601380e-01 0.2661353608 0.8235024
## 1769  1769 response 0.83749961 8.861756e-02 0.5898900155 0.9486303
## 1770  1770 response 0.48486133 2.347557e-01 0.1298017721 0.8558902
## 1771  1771 response 0.92636120 5.839440e-02 0.7014731614 0.9853688
## 1772  1772 response 0.98033132 1.701847e-02 0.8983446216 0.9964553
## 1773  1773 response 0.90101462 9.533205e-02 0.5283567472 0.9866599
## 1774  1774 response 0.33053647 2.414983e-01 0.0549515276 0.8074096
## 1775  1775 response 0.66172950 2.384807e-01 0.1951143074 0.9404273
## 1776  1776 response 0.26321934 2.487746e-01 0.0280997565 0.8153096
## 1777  1777 response 0.60558746 2.608814e-01 0.1529127098 0.9288753
## 1778  1778 response 0.85882589 1.306084e-01 0.4241472960 0.9804860
## 1779  1779 response 0.52629041 3.176081e-01 0.0838119266 0.9310007
## 1780  1780 response 0.93690404 7.494380e-02 0.5530863416 0.9944185
## 1781  1781 response 0.98328668 2.092763e-02 0.8290353421 0.9986010
## 1782  1782 response 0.91485277 1.098407e-01 0.4038833292 0.9941653
## 1783  1783 response 0.62888279 1.500424e-01 0.3246235998 0.8566153
## 1784  1784 response 0.87036588 6.926803e-02 0.6683954473 0.9571994
## 1785  1785 response 0.55079518 2.168348e-01 0.1803767649 0.8723129
## 1786  1786 response 0.84050472 8.698089e-02 0.5963525790 0.9494868
## 1787  1787 response 0.95429473 2.786190e-02 0.8565274256 0.9864907
## 1788  1788 response 0.79223416 1.426689e-01 0.4108667061 0.9542299
## 1789  1789 response 0.98075574 1.736819e-02 0.8935483240 0.9967786
## 1790  1790 response 0.99507200 4.602247e-03 0.9697754979 0.9992137
## 1791  1791 response 0.97359823 2.730257e-02 0.8213863163 0.9966297
## 1792  1792 response 0.37801802 1.742676e-01 0.1244809255 0.7220646
## 1793  1793 response 0.70657379 1.501070e-01 0.3681335265 0.9086976
## 1794  1794 response 0.30544277 2.149245e-01 0.0569399853 0.7620783
## 1795  1795 response 0.65398268 1.592511e-01 0.3224070057 0.8824581
## 1796  1796 response 0.88219295 7.301472e-02 0.6539381679 0.9674010
## 1797  1797 response 0.57762935 2.375212e-01 0.1686705589 0.9021352
## 1798  1798 response 0.94812821 4.392072e-02 0.7604936024 0.9905855
## 1799  1799 response 0.98637977 1.233345e-02 0.9229544182 0.9977211
## 1800  1800 response 0.92970533 7.162529e-02 0.6068546884 0.9912528
## 1801  1801 response 0.41772067 2.560379e-01 0.0835312593 0.8495444
## 1802  1802 response 0.73974302 1.973801e-01 0.2759232850 0.9549567
## 1803  1803 response 0.34171066 2.806301e-01 0.0430726892 0.8568633
## 1804  1804 response 0.69049274 2.248646e-01 0.2210055407 0.9460718
## 1805  1805 response 0.89836556 9.460370e-02 0.5370364354 0.9853704
## 1806  1806 response 0.61748362 2.922494e-01 0.1249683346 0.9480419
## 1807  1807 response 0.95570369 5.211626e-02 0.6589672505 0.9958661
## 1808  1808 response 0.98843703 1.413239e-02 0.8833769057 0.9989645
## 1809  1809 response 0.93980050 7.778803e-02 0.5132888064 0.9956915
## 1810  1810 response 0.93558078 8.076724e-02 0.5122974887 0.9950446
## 1811  1811 response 0.98291843 2.223492e-02 0.8110614767 0.9987052
## 1812  1812 response 0.91310993 1.153933e-01 0.3779211132 0.9945290
## 1813  1813 response 0.97833845 2.832848e-02 0.7668070748 0.9983906
## 1814  1814 response 0.99444280 7.348659e-03 0.9296165386 0.9995877
## 1815  1815 response 0.97030909 4.156774e-02 0.6589973312 0.9981938
## 1816  1816 response 0.99771577 3.364338e-03 0.9603074216 0.9998732
## 1817  1817 response 0.99942249 8.575634e-04 0.9894821257 0.9999686
## 1818  1818 response 0.99684591 4.896499e-03 0.9372366767 0.9998505
## 1819  1819 response 0.83893960 2.059679e-01 0.2079577110 0.9904157
## 1820  1820 response 0.95378483 6.674426e-02 0.5148410930 0.9975147
## 1821  1821 response 0.79031354 2.755745e-01 0.1264817524 0.9899099
## 1822  1822 response 0.94185550 8.219646e-02 0.4608685619 0.9967527
## 1823  1823 response 0.98465786 2.263708e-02 0.7728959735 0.9991745
## 1824  1824 response 0.92138950 1.183534e-01 0.3227333291 0.9965434
## 1825  1825 response 0.99365702 1.000851e-02 0.8745386139 0.9997160
## 1826  1826 response 0.99839145 2.570138e-03 0.9642271255 0.9999300
## 1827  1827 response 0.99125509 1.473617e-02 0.8019617355 0.9996849
## 1828  1828 response 0.86010847 1.694252e-01 0.2801671676 0.9898091
## 1829  1829 response 0.96056856 5.248437e-02 0.6170637750 0.9972920
## 1830  1830 response 0.81647543 2.319296e-01 0.1763881490 0.9892953
## 1831  1831 response 0.95029904 6.620789e-02 0.5506466047 0.9966593
## 1832  1832 response 0.98697177 1.784430e-02 0.8330771137 0.9991311
## 1833  1833 response 0.93259234 9.644147e-02 0.4062151457 0.9964387
## 1834  1834 response 0.99462108 8.183980e-03 0.9021793423 0.9997303
## 1835  1835 response 0.99863692 2.085732e-03 0.9732338888 0.9999323
## 1836  1836 response 0.99258150 1.205376e-02 0.8439522590 0.9996980
## 1837  1837 response 0.34581897 1.522803e-01 0.1238166379 0.6641484
## 1838  1838 response 0.67684320 1.430798e-01 0.3675347968 0.8830268
## 1839  1839 response 0.27667571 1.878515e-01 0.0572830883 0.7065605
## 1840  1840 response 0.62177583 1.620537e-01 0.2986995142 0.8638549
## 1841  1841 response 0.86690466 7.936406e-02 0.6284830535 0.9616543
## 1842  1842 response 0.54327885 2.325493e-01 0.1593106290 0.8818915
## 1843  1843 response 0.94082261 5.365600e-02 0.7062710462 0.9905766
## 1844  1844 response 0.98437271 1.518181e-02 0.9010250269 0.9977109
## 1845  1845 response 0.92002393 8.335652e-02 0.5553438295 0.9906507
## 1846  1846 response 0.15937779 8.448130e-02 0.0522151245 0.3948490
## 1847  1847 response 0.42896034 1.517261e-01 0.1824088765 0.7166538
## 1848  1848 response 0.12063742 1.032812e-01 0.0199458398 0.4804529
## 1849  1849 response 0.37091263 1.395305e-01 0.1544231058 0.6555929
## 1850  1850 response 0.70024547 1.271775e-01 0.4160386398 0.8845244
## 1851  1851 response 0.29904566 1.970140e-01 0.0633303163 0.7291419
## 1852  1852 response 0.85079105 1.052920e-01 0.5287615861 0.9666399
## 1853  1853 response 0.95761250 3.502159e-02 0.8063616802 0.9919071
## 1854  1854 response 0.80491103 1.694767e-01 0.3322445412 0.9716013
## 1855  1855 response 0.18286846 1.711771e-01 0.0231514650 0.6787880
## 1856  1856 response 0.46997061 2.803332e-01 0.0889932235 0.8894825
## 1857  1857 response 0.13936479 1.624247e-01 0.0112648267 0.6971134
## 1858  1858 response 0.41036136 2.785589e-01 0.0679348028 0.8692008
## 1859  1859 response 0.73386062 2.229467e-01 0.2274067287 0.9627309
## 1860  1860 response 0.33492023 3.007053e-01 0.0344922971 0.8765209
## 1861  1861 response 0.87064242 1.494935e-01 0.3329355430 0.9891022
## 1862  1862 response 0.96385567 4.656484e-02 0.6600925886 0.9972766
## 1863  1863 response 0.82964423 2.101127e-01 0.2090539179 0.9889788
## 1864  1864 response 0.43441843 1.535408e-01 0.1841236209 0.7233145
## 1865  1865 response 0.75267389 1.123651e-01 0.4824759367 0.9085430
## 1866  1866 response 0.35723411 2.069579e-01 0.0867536953 0.7647957
## 1867  1867 response 0.70489443 1.330919e-01 0.4053343164 0.8932824
## 1868  1868 response 0.90443343 5.511814e-02 0.7305922679 0.9706120
## 1869  1869 response 0.63347923 2.085452e-01 0.2291261449 0.9095042
## 1870  1870 response 0.95850642 3.682862e-02 0.7899986405 0.9929996
## 1871  1871 response 0.98919207 1.015214e-02 0.9343463382 0.9983040
## 1872  1872 response 0.94355003 5.849162e-02 0.6601457269 0.9930954
## 1873  1873 response 0.21598105 1.075164e-01 0.0735291037 0.4888059
## 1874  1874 response 0.52186808 1.554687e-01 0.2434862849 0.7872983
## 1875  1875 response 0.16620225 1.348743e-01 0.0287386815 0.5731661
## 1876  1876 response 0.46140660 1.491489e-01 0.2089947525 0.7352905
## 1877  1877 response 0.77243104 1.067417e-01 0.5079787664 0.9177575
## 1878  1878 response 0.38267155 2.215880e-01 0.0897513732 0.7957964
## 1879  1879 response 0.89229889 7.952426e-02 0.6207109564 0.9767134
## 1880  1880 response 0.97043668 2.468353e-02 0.8587456988 0.9943896
## 1881  1881 response 0.85703738 1.317059e-01 0.4216655258 0.9801156
## 1882  1882 response 0.24537919 1.995503e-01 0.0378476105 0.7288476
## 1883  1883 response 0.56300335 2.597463e-01 0.1399304143 0.9107306
## 1884  1884 response 0.19047087 1.996634e-01 0.0182545528 0.7485720
## 1885  1885 response 0.50278763 2.705838e-01 0.1081042152 0.8940273
## 1886  1886 response 0.80026018 1.712812e-01 0.3290941539 0.9703481
## 1887  1887 response 0.42253092 3.146038e-01 0.0552262885 0.9015638
## 1888  1888 response 0.90723004 1.065348e-01 0.4500029256 0.9915173
## 1889  1889 response 0.97484064 3.127389e-02 0.7609452711 0.9978842
## 1890  1890 response 0.87617866 1.551173e-01 0.3003557029 0.9914993
## 1891  1891 response 0.52741647 1.571633e-01 0.2448856848 0.7934142
## 1892  1892 response 0.81555938 9.155148e-02 0.5728905142 0.9358024
## 1893  1893 response 0.44676086 2.229017e-01 0.1211777280 0.8254605
## 1894  1894 response 0.77631807 1.116659e-01 0.4959919876 0.9244711
## 1895  1895 response 0.93220776 4.045728e-02 0.7967934852 0.9796844
## 1896  1896 response 0.71520394 1.827263e-01 0.3020668833 0.9357799
## 1897  1897 response 0.97106832 2.599056e-02 0.8455715865 0.9951631
## 1898  1898 response 0.99253643 7.024125e-03 0.9539900197 0.9988289
## 1899  1899 response 0.96045306 4.157643e-02 0.7397224946 0.9952047
## 1900  1900 response 0.28585115 1.411874e-01 0.0935389651 0.6082422
## 1901  1901 response 0.61328707 1.612755e-01 0.2949118065 0.8574106
## 1902  1902 response 0.22458170 1.755578e-01 0.0386039893 0.6762748
## 1903  1903 response 0.55451766 1.624550e-01 0.2554018286 0.8187481
## 1904  1904 response 0.83141819 9.297700e-02 0.5733572495 0.9476415
## 1905  1905 response 0.47387336 2.424910e-01 0.1180630987 0.8583555
## 1906  1906 response 0.92330079 6.137906e-02 0.6876799536 0.9850331
## 1907  1907 response 0.97946417 1.805487e-02 0.8914393033 0.9964033
## 1908  1908 response 0.89701791 1.018584e-01 0.5008459242 0.9869478
## 1909  1909 response 0.32086743 2.264722e-01 0.0580444365 0.7836682
## 1910  1910 response 0.65180491 2.305979e-01 0.2035197774 0.9320367
## 1911  1911 response 0.25477010 2.393601e-01 0.0280786635 0.8018032
## 1912  1912 response 0.59502377 2.512753e-01 0.1598954174 0.9189788
## 1913  1913 response 0.85340289 1.289915e-01 0.4355391111 0.9777383
## 1914  1914 response 0.51530274 3.131710e-01 0.0834562529 0.9254457
## 1915  1915 response 0.93425068 7.553897e-02 0.5606085439 0.9937205
## 1916  1916 response 0.98254751 2.124504e-02 0.8323548701 0.9984360
## 1917  1917 response 0.91135983 1.127546e-01 0.4000379439 0.9937320
## 1918  1918 response 0.90534732 1.146519e-01 0.4099459114 0.9924632
## 1919  1919 response 0.97429116 3.320354e-02 0.7382211825 0.9980403
## 1920  1920 response 0.87375346 1.625112e-01 0.2782931074 0.9920142
## 1921  1921 response 0.96747453 4.209216e-02 0.6837255322 0.9975626
## 1922  1922 response 0.99158623 1.113064e-02 0.8960964326 0.9993795
## 1923  1923 response 0.95560097 6.214195e-02 0.5494515616 0.9973743
## 1924  1924 response 0.99653575 5.118356e-03 0.9402467160 0.9998099
## 1925  1925 response 0.99912338 1.309605e-03 0.9838245337 0.9999532
## 1926  1926 response 0.99521868 7.531564e-03 0.9034419396 0.9997841
## 1927  1927 response 0.77429223 2.628706e-01 0.1524687859 0.9849436
## 1928  1928 response 0.93146914 9.555700e-02 0.4195811422 0.9961023
## 1929  1929 response 0.71282935 3.403936e-01 0.0870673243 0.9847576
## 1930  1930 response 0.91429715 1.162208e-01 0.3682435851 0.9949045
## 1931  1931 response 0.97688846 3.350120e-02 0.6975739139 0.9987106
## 1932  1932 response 0.88531220 1.661597e-01 0.2379909989 0.9947860
## 1933  1933 response 0.99040044 1.498800e-02 0.8244217487 0.9995591
## 1934  1934 response 0.99755963 3.875256e-03 0.9475075523 0.9998920
## 1935  1935 response 0.98678173 2.226776e-02 0.7244864008 0.9995284
## 1936  1936 response 0.80195213 2.226187e-01 0.2060886130 0.9844151
## 1937  1937 response 0.94132700 7.635454e-02 0.5164234676 0.9958682
## 1938  1938 response 0.74554610 2.962470e-01 0.1207139707 0.9842599
## 1939  1939 response 0.92643002 9.530310e-02 0.4483166091 0.9949014
## 1940  1940 response 0.98035077 2.672811e-02 0.7668074843 0.9986808
## 1941  1941 response 0.90110460 1.381909e-01 0.3036958792 0.9947740
## 1942  1942 response 0.99185541 1.237498e-02 0.8581219768 0.9995923
## 1943  1943 response 0.99793178 3.173160e-03 0.9595228954 0.9998982
## 1944  1944 response 0.98877897 1.839000e-02 0.7738305543 0.9995596
## 1945  1945 response 0.29066966 1.439789e-01 0.0944216340 0.6169295
## 1946  1946 response 0.61884218 1.613796e-01 0.2981106568 0.8612349
## 1947  1947 response 0.22869815 1.721824e-01 0.0419335669 0.6676281
## 1948  1948 response 0.56031174 1.766973e-01 0.2380667498 0.8386426
## 1949  1949 response 0.83468450 9.934349e-02 0.5518425636 0.9539234
## 1950  1950 response 0.47973223 2.439239e-01 0.1195613331 0.8622803
## 1951  1951 response 0.92494755 6.866543e-02 0.6394270637 0.9884588
## 1952  1952 response 0.97993129 1.995155e-02 0.8698794367 0.9972040
## 1953  1953 response 0.89916735 1.061283e-01 0.4734682522 0.9888184
## 1954  1954 response 0.12813724 7.051821e-02 0.0409068756 0.3361787
## 1955  1955 response 0.36801094 1.452675e-01 0.1461724430 0.6645023
## 1956  1956 response 0.09612228 8.626562e-02 0.0149627667 0.4267725
## 1957  1957 response 0.31368038 1.297836e-01 0.1229782659 0.5983480
## 1958  1958 response 0.64423699 1.410216e-01 0.3515705668 0.8581181
## 1959  1959 response 0.24852178 1.797524e-01 0.0477455046 0.6856637
## 1960  1960 response 0.81550026 1.262284e-01 0.4605415848 0.9581322
## 1961  1961 response 0.94598293 4.472117e-02 0.7590718098 0.9898316
## 1962  1962 response 0.76180679 2.002521e-01 0.2688703287 0.9652961
## 1963  1963 response 0.14783313 1.457954e-01 0.0176368214 0.6263467
## 1964  1964 response 0.40735090 2.751726e-01 0.0685648242 0.8651911
## 1965  1965 response 0.11152665 1.365145e-01 0.0083634116 0.6513567
## 1966  1966 response 0.35043289 2.652090e-01 0.0521203931 0.8410949
## 1967  1967 response 0.68127421 2.514286e-01 0.1809636817 0.9538716
## 1968  1968 response 0.28076304 2.777393e-01 0.0256708920 0.8525863
## 1969  1969 response 0.83915923 1.812856e-01 0.2727866267 0.9864068
## 1970  1970 response 0.95385646 5.961153e-02 0.5924845084 0.9966091
## 1971  1971 response 0.79058292 2.505065e-01 0.1628569664 0.9865337
## 1972  1972 response 0.37320034 1.526970e-01 0.1421049591 0.6815475
## 1973  1973 response 0.70229680 1.331483e-01 0.4037347968 0.8915281
## 1974  1974 response 0.30110227 1.979843e-01 0.0638037642 0.7314328
## 1975  1975 response 0.64931958 1.527433e-01 0.3321024698 0.8733369
## 1976  1976 response 0.88004120 7.104569e-02 0.6623540677 0.9648327
## 1977  1977 response 0.57260973 2.301658e-01 0.1749658682 0.8943389
## 1978  1978 response 0.94710856 4.773760e-02 0.7344661706 0.9914475
## 1979  1979 response 0.98610101 1.341500e-02 0.9124214037 0.9979345
## 1980  1980 response 0.92835091 7.565794e-02 0.5823120363 0.9917641
## 1981  1981 response 0.17596792 9.228105e-02 0.0577992562 0.4263954
## 1982  1982 response 0.45831273 1.561710e-01 0.1978057152 0.7437957
## 1983  1983 response 0.13383698 1.151268e-01 0.0215852080 0.5197458
## 1984  1984 response 0.39906883 1.452990e-01 0.1684210871 0.6852847
## 1985  1985 response 0.72460578 1.232173e-01 0.4395982459 0.8982236
## 1986  1986 response 0.32456099 2.107158e-01 0.0680643174 0.7596994
## 1987  1987 response 0.86527084 9.765393e-02 0.5542756074 0.9707330
## 1988  1988 response 0.96218667 3.177715e-02 0.8212330952 0.9929550
## 1989  1989 response 0.82291647 1.602711e-01 0.3499241212 0.9756801
## 1990  1990 response 0.20131820 1.753623e-01 0.0288693506 0.6812514
## 1991  1991 response 0.49967371 2.679026e-01 0.1089390740 0.8908073
## 1992  1992 response 0.15425397 1.721898e-01 0.0135394407 0.7079149
## 1993  1993 response 0.43942042 2.703645e-01 0.0835768475 0.8707586
## 1994  1994 response 0.75643930 2.007273e-01 0.2685260010 0.9633367
## 1995  1995 response 0.36191607 3.039883e-01 0.0412074685 0.8821490
## 1996  1996 response 0.88345964 1.320704e-01 0.3802382236 0.9894367
## 1997  1997 response 0.96777879 4.035440e-02 0.7039042090 0.9973717
## 1998  1998 response 0.84580425 1.901019e-01 0.2396104257 0.9896355
## 1999  1999 response 0.46384093 1.638789e-01 0.1920987161 0.7588989
## 2000  2000 response 0.77414770 1.123226e-01 0.4931908201 0.9235086
## 2001  2001 response 0.38498741 2.230073e-01 0.0899330120 0.7986035
## 2002  2002 response 0.72902314 1.332810e-01 0.4175918198 0.9098669
## 2003  2003 response 0.91423234 5.301529e-02 0.7390969737 0.9756745
## 2004  2004 response 0.66063587 2.107455e-01 0.2357277043 0.9247359
## 2005  2005 response 0.96298785 3.395452e-02 0.8008537200 0.9940945
## 2006  2006 response 0.99039258 9.305527e-03 0.9381254364 0.9985753
## 2007  2007 response 0.94956179 5.433510e-02 0.6707784512 0.9942842
## 2008  2008 response 0.23680340 1.253749e-01 0.0737845548 0.5472056
## 2009  2009 response 0.55143868 1.697511e-01 0.2425821242 0.8251368
## 2010  2010 response 0.18334782 1.538944e-01 0.0290774165 0.6272947
## 2011  2011 response 0.49106991 1.658588e-01 0.2080947318 0.7798856
## 2012  2012 response 0.79266199 1.106902e-01 0.5052488839 0.9346916
## 2013  2013 response 0.41113701 2.410234e-01 0.0902580396 0.8308909
## 2014  2014 response 0.90320886 7.667409e-02 0.6258397300 0.9811532
## 2015  2015 response 0.97366502 2.335132e-02 0.8611957317 0.9954817
## 2016  2016 response 0.87100291 1.266685e-01 0.4256156924 0.9840069
## 2017  2017 response 0.26806671 2.066491e-01 0.0444158240 0.7426561
## 2018  2018 response 0.59201877 2.495105e-01 0.1607868074 0.9165998
## 2019  2019 response 0.20949098 2.130902e-01 0.0208370886 0.7674505
## 2020  2020 response 0.53248113 2.636398e-01 0.1250394236 0.9007660
## 2021  2021 response 0.81859813 1.559478e-01 0.3655278258 0.9724873
## 2022  2022 response 0.45179144 3.175198e-01 0.0626141816 0.9104574
## 2023  2023 response 0.91676859 9.519716e-02 0.4884945141 0.9921899
## 2024  2024 response 0.97759915 2.756860e-02 0.7872808994 0.9980605
## 2025  2025 response 0.88851757 1.411158e-01 0.3281546409 0.9923693
## 2026  2026 response 0.88115770 1.417662e-01 0.3430073088 0.9905925
## 2027  2027 response 0.96708029 4.277793e-02 0.6784402719 0.9975612
## 2028  2028 response 0.84289081 1.986514e-01 0.2209332943 0.9902436
## 2029  2029 response 0.95843330 5.399551e-02 0.6181188351 0.9969648
## 2030  2030 response 0.98917241 1.450150e-02 0.8654179377 0.9992301
## 2031  2031 response 0.94345211 7.967015e-02 0.4719197334 0.9967999
## 2032  2032 response 0.99553550 6.675570e-03 0.9215311004 0.9997639
## 2033  2033 response 0.99886942 1.712337e-03 0.9783749341 0.9999420
## 2034  2034 response 0.99384049 9.870886e-03 0.8724929664 0.9997372
## 2035  2035 response 0.72671974 2.993107e-01 0.1217616567 0.9807714
## 2036  2036 response 0.91331609 1.188982e-01 0.3569366509 0.9950249
## 2037  2037 response 0.65802385 3.772980e-01 0.0671253816 0.9809361
## 2038  2038 response 0.89212223 1.431963e-01 0.3092479146 0.9934962
## 2039  2039 response 0.97038394 4.283334e-02 0.6383453568 0.9983586
## 2040  2040 response 0.85681217 2.026801e-01 0.1901757722 0.9934842
## 2041  2041 response 0.98765066 1.932043e-02 0.7819452036 0.9994397
## 2042  2042 response 0.99685408 5.021249e-03 0.9321566369 0.9998632
## 2043  2043 response 0.98301317 2.880476e-02 0.6631178369 0.9994126
## 2044  2044 response 0.75839038 2.591223e-01 0.1641288257 0.9804603
## 2045  2045 response 0.92557654 9.624261e-02 0.4457810758 0.9948265
## 2046  2046 response 0.69430683 3.363233e-01 0.0923370537 0.9806608
## 2047  2047 response 0.90707532 1.190663e-01 0.3798513798 0.9936128
## 2048  2048 response 0.97479554 3.449391e-02 0.7116714786 0.9983526
## 2049  2049 response 0.87597923 1.711568e-01 0.2436188257 0.9935853
## 2050  2050 response 0.98951800 1.605819e-02 0.8195245312 0.9994907
## 2051  2051 response 0.99733353 4.136626e-03 0.9466276240 0.9998732
## 2052  2052 response 0.98557149 2.394211e-02 0.7158795030 0.9994603
## 2053  2053 response 0.16443816 1.215602e-01 0.0335819973 0.5270901
## 2054  2054 response 0.43811911 2.173312e-01 0.1214097028 0.8148065
## 2055  2055 response 0.12465015 1.270099e-01 0.0143356953 0.5823281
## 2056  2056 response 0.37965602 2.137879e-01 0.0936261973 0.7838296
## 2057  2057 response 0.70801486 1.899368e-01 0.2859797683 0.9362262
## 2058  2058 response 0.30692147 2.491417e-01 0.0426929256 0.8147218
## 2059  2059 response 0.85546383 1.418916e-01 0.3843611508 0.9824898
## 2060  2060 response 0.95910076 4.614752e-02 0.7003802664 0.9957672
## 2061  2061 response 0.81070094 2.067941e-01 0.2338888088 0.9836272
## 2062  2062 response 0.06592950 4.755888e-02 0.0152982870 0.2428102
## 2063  2063 response 0.21853994 1.327615e-01 0.0574412373 0.5620400
## 2064  2064 response 0.04859086 5.252467e-02 0.0054789296 0.3213301
## 2065  2065 response 0.17999156 1.120039e-01 0.0472568873 0.4927349
## 2066  2066 response 0.46514811 1.938703e-01 0.1588285323 0.8002252
## 2067  2067 response 0.13705749 1.320147e-01 0.0175045050 0.5860700
## 2068  2068 response 0.67977061 2.116380e-01 0.2399739345 0.9345182
## 2069  2069 response 0.89373644 9.608424e-02 0.5365752694 0.9838954
## 2070  2070 response 0.60567664 2.989062e-01 0.1167286314 0.9469560
## 2071  2071 response 0.07690693 9.016063e-02 0.0068658824 0.5010083
## 2072  2072 response 0.24817613 2.352002e-01 0.0271459899 0.7961297
## 2073  2073 response 0.05685709 8.094761e-02 0.0031184295 0.5374171
## 2074  2074 response 0.20577674 2.096448e-01 0.0205378321 0.7619843
## 2075  2075 response 0.50654910 3.205914e-01 0.0767303902 0.9269001
## 2076  2076 response 0.15787623 2.010504e-01 0.0095843380 0.7841071
## 2077  2077 response 0.71474651 2.969310e-01 0.1261002946 0.9775331
## 2078  2078 response 0.90848874 1.223984e-01 0.3565804460 0.9944084
## 2079  2079 response 0.64451313 3.774103e-01 0.0670110493 0.9786171
## 2080  2080 response 0.22236321 1.471560e-01 0.0511780825 0.6025293
## 2081  2081 response 0.53116536 2.112957e-01 0.1768020800 0.8566588
## 2082  2082 response 0.17143511 1.613511e-01 0.0218418935 0.6572044
## 2083  2083 response 0.47068711 2.175621e-01 0.1383664402 0.8311995
## 2084  2084 response 0.77892014 1.522542e-01 0.3837827515 0.9522247
## 2085  2085 response 0.39151962 2.720627e-01 0.0642105682 0.8578278
## 2086  2086 response 0.89583092 1.043191e-01 0.4901796704 0.9871662
## 2087  2087 response 0.97148809 3.177283e-02 0.7824973779 0.9969108
## 2088  2088 response 0.86154638 1.574543e-01 0.3188754884 0.9880539
## 2089  2089 response 0.09301682 6.567501e-02 0.0218148445 0.3204774
## 2090  2090 response 0.28893278 1.608477e-01 0.0805399983 0.6533702
## 2091  2091 response 0.06908139 7.316361e-02 0.0079176651 0.4082841
## 2092  2092 response 0.24180989 1.399343e-01 0.0666862618 0.5873880
## 2093  2093 response 0.55823164 1.930752e-01 0.2140797072 0.8542690
## 2094  2094 response 0.18750180 1.700833e-01 0.0252218575 0.6730139
## 2095  2095 response 0.75516286 1.798415e-01 0.3143013614 0.9540326
## 2096  2096 response 0.92435962 7.073432e-02 0.6272154364 0.9888591
## 2097  2097 response 0.69057253 2.669801e-01 0.1616456727 0.9627316
## 2098  2098 response 0.10798297 1.166287e-01 0.0111548787 0.5650387
## 2099  2099 response 0.32415521 2.630003e-01 0.0436197297 0.8345418
## 2100  2100 response 0.08053837 1.079659e-01 0.0050033422 0.6040871
## 2101  2101 response 0.27349730 2.430047e-01 0.0331187726 0.8053501
## 2102  2102 response 0.59864447 2.937072e-01 0.1196175995 0.9424428
## 2103  2103 response 0.21408200 2.456050e-01 0.0153441207 0.8264356
## 2104  2104 response 0.78451461 2.370009e-01 0.1891426694 0.9827057
## 2105  2105 response 0.93516896 8.597560e-02 0.4724149769 0.9957150
## 2106  2106 response 0.72484619 3.185935e-01 0.1031938917 0.9836893
## 2107  2107 response 0.29352498 1.778260e-01 0.0718196024 0.6904916
## 2108  2108 response 0.62209397 2.008736e-01 0.2357304866 0.8978098
## 2109  2109 response 0.23114309 2.022609e-01 0.0312941842 0.7366818
## 2110  2110 response 0.56371084 2.159244e-01 0.1877771542 0.8783601
## 2111  2111 response 0.83658113 1.214344e-01 0.4730471608 0.9668798
## 2112  2112 response 0.48317968 2.854076e-01 0.0905122828 0.8977786
## 2113  2113 response 0.92590055 7.677122e-02 0.5822980757 0.9911505
## 2114  2114 response 0.98020106 2.227337e-02 0.8392524809 0.9978744
## 2115  2115 response 0.90041245 1.182371e-01 0.4055099477 0.9917249
## 2116  2116 response 0.12968788 9.343376e-02 0.0285760396 0.4301478
## 2117  2117 response 0.37122840 1.940608e-01 0.1037309087 0.7507356
## 2118  2118 response 0.09732874 1.027367e-01 0.0107802342 0.5161629
## 2119  2119 response 0.31666084 1.756488e-01 0.0862638008 0.6946208
## 2120  2120 response 0.64739557 1.893891e-01 0.2653230080 0.9032356
## 2121  2121 response 0.25110965 2.157817e-01 0.0341693471 0.7606513
## 2122  2122 response 0.81756889 1.503866e-01 0.3831376268 0.9700023
## 2123  2123 response 0.94668422 5.276828e-02 0.6958572488 0.9927955
## 2124  2124 response 0.76430344 2.296717e-01 0.2104177843 0.9752833
## 2125  2125 response 0.14958122 1.499137e-01 0.0171624955 0.6392104
## 2126  2126 response 0.41068879 2.825548e-01 0.0660312671 0.8729256
## 2127  2127 response 0.11290230 1.431331e-01 0.0076722942 0.6769025
## 2128  2128 response 0.35358265 2.719423e-01 0.0504365293 0.8492372
## 2129  2129 response 0.68426512 2.568315e-01 0.1741462267 0.9570331
## 2130  2130 response 0.28355996 2.904915e-01 0.0234434119 0.8671166
## 2131  2131 response 0.84101430 1.833104e-01 0.2647854011 0.9872932
## 2132  2132 response 0.95446045 6.029156e-02 0.5802710177 0.9968627
## 2133  2133 response 0.79285996 2.575713e-01 0.1503811099 0.9880632
## 2134  2134 response 0.78074333 2.510750e-01 0.1673280599 0.9843989
## 2135  2135 response 0.93381188 9.042145e-02 0.4450794253 0.9959867
## 2136  2136 response 0.72040280 3.294868e-01 0.0945207286 0.9845194
## 2137  2137 response 0.91717472 1.119021e-01 0.3816385048 0.9949922
## 2138  2138 response 0.97771567 3.218717e-02 0.7080365109 0.9987418
## 2139  2139 response 0.88904487 1.611886e-01 0.2457067125 0.9949519
## 2140  2140 response 0.99074861 1.482993e-02 0.8179527170 0.9996084
## 2141  2141 response 0.99764876 3.838128e-03 0.9449819568 0.9999046
## 2142  2142 response 0.98725947 2.203541e-02 0.7143366250 0.9995837
## 2143  2143 response 0.56084871 3.888673e-01 0.0546871708 0.9657461
## 2144  2144 response 0.83498507 2.175538e-01 0.1864443191 0.9911288
## 2145  2145 response 0.48027632 4.422864e-01 0.0278737239 0.9675143
## 2146  2146 response 0.79885742 2.514957e-01 0.1559760270 0.9884199
## 2147  2147 response 0.94024790 8.835825e-02 0.4190836607 0.9970950
## 2148  2148 response 0.74185370 3.356627e-01 0.0847343650 0.9889142
## 2149  2149 response 0.97462507 4.119051e-02 0.5948123866 0.9990059
## 2150  2150 response 0.99347172 1.093888e-02 0.8480434758 0.9997591
## 2151  2151 response 0.96526813 6.133910e-02 0.4350579477 0.9990040
## 2152  2152 response 0.60119317 3.633611e-01 0.0717624428 0.9670992
## 2153  2153 response 0.85658485 1.848937e-01 0.2381817683 0.9913121
## 2154  2154 response 0.52171040 4.260274e-01 0.0369903589 0.9687261
## 2155  2155 response 0.82419046 2.200786e-01 0.1928118472 0.9892479
## 2156  2156 response 0.94891222 7.350006e-02 0.4875412845 0.9972500
## 2157  2157 response 0.77231994 2.994759e-01 0.1074983690 0.9896408
## 2158  2158 response 0.97841896 3.493496e-02 0.6390839272 0.9991393
## 2159  2159 response 0.99446379 9.173289e-03 0.8727203476 0.9997875
## 2160  2160 response 0.97041855 5.200631e-02 0.4849508725 0.9991258
## 2161  2161 response 0.95540318 7.455466e-02 0.4097398562 0.9984898
## 2162  2162 response 0.98835588 1.969011e-02 0.7479883873 0.9995882
## 2163  2163 response 0.93939894 1.028792e-01 0.3098020408 0.9981355
## 2164  2164 response 0.98521187 2.557940e-02 0.6809074851 0.9995195
## 2165  2165 response 0.99622586 6.481207e-03 0.9000036765 0.9998708
## 2166  2166 response 0.97967739 3.595920e-02 0.5831097445 0.9993985
## 2167  2167 response 0.99845032 2.908841e-03 0.9417766218 0.9999610
## 2168  2168 response 0.99960842 7.291699e-04 0.9851356903 0.9999898
## 2169  2169 response 0.99785958 4.088893e-03 0.9162468717 0.9999497
## 2170  2170 response 0.88483901 1.855968e-01 0.1778815625 0.9963483
## 2171  2171 response 0.96819609 5.503281e-02 0.4782536874 0.9990119
## 2172  2172 response 0.84755240 2.466396e-01 0.1165228381 0.9957511
## 2173  2173 response 0.95983001 6.978969e-02 0.4075664630 0.9987965
## 2174  2174 response 0.98954750 1.843463e-02 0.7421527525 0.9996790
## 2175  2175 response 0.94532349 9.777230e-02 0.2978786281 0.9985827
## 2176  2176 response 0.99569112 8.145541e-03 0.8483342212 0.9998953
## 2177  2177 response 0.99890896 2.053955e-03 0.9579424850 0.9999728
## 2178  2178 response 0.99405484 1.160734e-02 0.7806896332 0.9998727
## 2179  2179 response 0.90068925 1.803858e-01 0.1483424307 0.9978869
## 2180  2180 response 0.97292450 5.210063e-02 0.4268331347 0.9994236
## 2181  2181 response 0.86776768 2.397233e-01 0.0985633458 0.9974675
## 2182  2182 response 0.96575825 6.678766e-02 0.3500239065 0.9993235
## 2183  2183 response 0.99113059 1.746521e-02 0.6947102630 0.9998178
## 2184  2184 response 0.95328840 9.289628e-02 0.2548540747 0.9991795
## 2185  2185 response 0.99634716 7.732006e-03 0.8091822039 0.9999430
## 2186  2186 response 0.99907553 1.943705e-03 0.9458705087 0.9999850
## 2187  2187 response 0.99495875 1.091754e-02 0.7347700080 0.9999289
## 2188  2188 response 0.96887406 5.219907e-02 0.5113939175 0.9989210
## 2189  2189 response 0.99195689 1.349397e-02 0.8175682860 0.9997055
## 2190  2190 response 0.95748896 7.274477e-02 0.4041407108 0.9986648
## 2191  2191 response 0.98977513 1.756926e-02 0.7631602888 0.9996562
## 2192  2192 response 0.99739944 4.418442e-03 0.9315466323 0.9999075
## 2193  2193 response 0.98592405 2.477617e-02 0.6791730168 0.9995687
## 2194  2194 response 0.99893294 1.982694e-03 0.9606876142 0.9999721
## 2195  2195 response 0.99973047 4.964795e-04 0.9901201805 0.9999927
## 2196  2196 response 0.99852590 2.786739e-03 0.9430802604 0.9999639
## 2197  2197 response 0.91779040 1.374751e-01 0.2389514228 0.9974872
## 2198  2198 response 0.97789217 3.864659e-02 0.5709689630 0.9993203
## 2199  2199 response 0.88984454 1.870135e-01 0.1610770544 0.9970663
## 2200  2200 response 0.97200291 4.925409e-02 0.4999650998 0.9991712
## 2201  2201 response 0.99278269 1.276749e-02 0.8071551073 0.9997788
## 2202  2202 response 0.96171704 6.957990e-02 0.3821686532 0.9990208
## 2203  2203 response 0.99703048 5.616225e-03 0.8907553526 0.9999277
## 2204  2204 response 0.99924885 1.413114e-03 0.9707778864 0.9999812
## 2205  2205 response 0.99590073 8.005337e-03 0.8388279993 0.9999118
## 2206  2206 response 0.92946688 1.296801e-01 0.2144245757 0.9984306
## 2207  2207 response 0.98120701 3.574067e-02 0.5390283319 0.9995712
## 2208  2208 response 0.90507975 1.761551e-01 0.1463120046 0.9981185
## 2209  2209 response 0.97617927 4.605065e-02 0.4579975332 0.9994971
## 2210  2210 response 0.99387882 1.184267e-02 0.7815215409 0.9998643
## 2211  2211 response 0.96737626 6.459285e-02 0.3493446545 0.9993897
## 2212  2212 response 0.99748311 5.236536e-03 0.8692221004 0.9999577
## 2213  2213 response 0.99936356 1.313522e-03 0.9648152000 0.9999889
## 2214  2214 response 0.99652497 7.401944e-03 0.8129540887 0.9999472
## 2215  2215 response 0.97836807 3.665695e-02 0.6027586713 0.9992588
## 2216  2216 response 0.99445052 9.338626e-03 0.8666741522 0.9997976
## 2217  2217 response 0.97034936 5.140188e-02 0.4966464109 0.9990796
## 2218  2218 response 0.99294036 1.217137e-02 0.8239179199 0.9997635
## 2219  2219 response 0.99820875 3.045899e-03 0.9518591511 0.9999363
## 2220  2220 response 0.99026971 1.718874e-02 0.7551736553 0.9997023
## 2221  2221 response 0.99926536 1.364529e-03 0.9726750183 0.9999808
## 2222  2222 response 0.99981448 3.414627e-04 0.9932000733 0.9999950
## 2223  2223 response 0.99898501 1.916775e-03 0.9603339918 0.9999750
## 2224  2224 response 0.94193205 1.007342e-01 0.3050500439 0.9983346
## 2225  2225 response 0.98467898 2.726674e-02 0.6503730101 0.9995499
## 2226  2226 response 0.92149076 1.392713e-01 0.2124331853 0.9980459
## 2227  2227 response 0.98056171 3.486030e-02 0.5832757562 0.9994503
## 2228  2228 response 0.99502158 8.920984e-03 0.8542039331 0.9998534
## 2229  2229 response 0.97333399 4.948214e-02 0.4652404584 0.9993474
## 2230  2230 response 0.99795437 3.906394e-03 0.9197918807 0.9999518
## 2231  2231 response 0.99948291 9.815338e-04 0.9790507243 0.9999875
## 2232  2232 response 0.99717512 5.564608e-03 0.8802369660 0.9999410
## 2233  2233 response 0.95036506 9.229746e-02 0.2925977924 0.9988730
## 2234  2234 response 0.98698975 2.460440e-02 0.6395630797 0.9996918
## 2235  2235 response 0.93268022 1.273497e-01 0.2064105744 0.9986468
## 2236  2236 response 0.98348304 3.180975e-02 0.5618457346 0.9996385
## 2237  2237 response 0.99577913 8.085890e-03 0.8446029618 0.9999024
## 2238  2238 response 0.97731643 4.486457e-02 0.4493474046 0.9995606
## 2239  2239 response 0.99826643 3.570805e-03 0.9098416433 0.9999696
## 2240  2240 response 0.99956189 8.943406e-04 0.9765657844 0.9999920
## 2241  2241 response 0.99760576 5.049588e-03 0.8686069153 0.9999619
## 2242  2242 response 0.99742684 5.367960e-03 0.8653838634 0.9999572
## 2243  2243 response 0.99934930 1.337777e-03 0.9645888968 0.9999885
## 2244  2244 response 0.99644735 7.535318e-03 0.8122231050 0.9999450
## 2245  2245 response 0.99917112 1.731819e-03 0.9524004635 0.9999862
## 2246  2246 response 0.99979067 4.316597e-04 0.9882134434 0.9999963
## 2247  2247 response 0.99885484 2.427732e-03 0.9315788625 0.9999821
## 2248  2248 response 0.99991423 1.874982e-04 0.9938116741 0.9999988
## 2249  2249 response 0.99997835 4.697261e-05 0.9984806236 0.9999997
## 2250  2250 response 0.99988147 2.613521e-04 0.9911481476 0.9999984
## 2251  2251 response 0.99285838 1.610371e-02 0.6185312524 0.9999161
## 2252  2252 response 0.99818783 4.055731e-03 0.8717973739 0.9999776
## 2253  2253 response 0.99015702 2.272485e-02 0.5102687782 0.9998970
## 2254  2254 response 0.99769234 5.196567e-03 0.8382698456 0.9999723
## 2255  2255 response 0.99941656 1.302157e-03 0.9555992638 0.9999927
## 2256  2256 response 0.99681358 7.345835e-03 0.7707948147 0.9999656
## 2257  2257 response 0.99976089 5.543664e-04 0.9779732443 0.9999975
## 2258  2258 response 0.99993964 1.391782e-04 0.9944898372 0.9999993
## 2259  2259 response 0.99966957 7.804932e-04 0.9671913316 0.9999968
## 2260  2260 response 0.99394309 1.304460e-02 0.7013297702 0.9999128
## 2261  2261 response 0.99846433 3.264284e-03 0.9092628677 0.9999763
## 2262  2262 response 0.99164858 1.841636e-02 0.6031174792 0.9998922
## 2263  2263 response 0.99804428 4.224613e-03 0.8800556091 0.9999718
## 2264  2264 response 0.99950567 1.053367e-03 0.9687282009 0.9999924
## 2265  2265 response 0.99729919 5.968489e-03 0.8275654955 0.9999648
## 2266  2266 response 0.99979742 4.562300e-04 0.9835246994 0.9999975
## 2267  2267 response 0.99994886 1.141310e-04 0.9959557510 0.9999994
## 2268  2268 response 0.99972005 6.413016e-04 0.9756251954 0.9999969
## 2269  2269 response 0.85831092 1.801216e-01 0.2494449890 0.9910245
## 2270  2270 response 0.96000185 5.547319e-02 0.5857890632 0.9975510
## 2271  2271 response 0.81423830 2.430503e-01 0.1582009987 0.9903131
## 2272  2272 response 0.94959248 7.162881e-02 0.5007380266 0.9971818
## 2273  2273 response 0.98677931 1.915660e-02 0.8076253602 0.9992470
## 2274  2274 response 0.93165217 1.027402e-01 0.3658646050 0.9969045
## 2275  2275 response 0.99454100 8.988545e-03 0.8765453254 0.9997861
## 2276  2276 response 0.99861654 2.272139e-03 0.9663772870 0.9999448
## 2277  2277 response 0.99247127 1.306236e-02 0.8107871922 0.9997535
## 2278  2278 response 0.68480338 3.260712e-01 0.1011153652 0.9767236
## 2279  2279 response 0.89592135 1.378894e-01 0.3217759626 0.9936380
## 2280  2280 response 0.61120786 3.971231e-01 0.0560924564 0.9765192
## 2281  2281 response 0.87107490 1.690502e-01 0.2611819490 0.9923154
## 2282  2282 response 0.96398940 5.141949e-02 0.5948596292 0.9979553
## 2283  2283 response 0.83018705 2.338756e-01 0.1591501037 0.9921431
## 2284  2284 response 0.98492635 2.414113e-02 0.7296027016 0.9993684
## 2285  2285 response 0.99615217 6.203292e-03 0.9156319414 0.9998381
## 2286  2286 response 0.97928726 3.560588e-02 0.6024231059 0.9993226
## 2287  2287 response 0.71945645 3.588941e-01 0.0728787213 0.9881888
## 2288  2288 response 0.91040073 1.420969e-01 0.2505434779 0.9967724
## 2289  2289 response 0.64981455 4.343708e-01 0.0421658258 0.9873768
## 2290  2290 response 0.88858103 1.770680e-01 0.1932504483 0.9962479
## 2291  2291 response 0.96932342 5.231230e-02 0.5012566828 0.9989944
## 2292  2292 response 0.85230378 2.407020e-01 0.1197386801 0.9959318
## 2293  2293 response 0.98720029 2.424961e-02 0.6420027663 0.9996986
## 2294  2294 response 0.99673824 6.191004e-03 0.8797351877 0.9999217
## 2295  2295 response 0.98239668 3.498075e-02 0.5143309958 0.9996601
## 2296  2296 response 0.89797768 1.338047e-01 0.3345596974 0.9935522
## 2297  2297 response 0.97212419 3.856787e-02 0.6818390003 0.9982409
## 2298  2298 response 0.86429266 1.860260e-01 0.2214671185 0.9930356
## 2299  2299 response 0.96475379 5.015860e-02 0.6031015091 0.9979759
## 2300  2300 response 0.99086337 1.309359e-02 0.8643131108 0.9994587
## 2301  2301 response 0.95193635 7.282913e-02 0.4665895684 0.9977750
## 2302  2302 response 0.99623651 6.128462e-03 0.9148993478 0.9998466
## 2303  2303 response 0.99904744 1.544670e-03 0.9775572975 0.9999604
## 2304  2304 response 0.99480626 8.920267e-03 0.8666054785 0.9998230
## 2305  2305 response 0.75943007 2.764498e-01 0.1398907214 0.9839413
## 2306  2306 response 0.92596703 1.015257e-01 0.4070001204 0.9956318
## 2307  2307 response 0.69551157 3.540034e-01 0.0794194654 0.9837342
## 2308  2308 response 0.90755319 1.264259e-01 0.3386609136 0.9947146
## 2309  2309 response 0.97493478 3.622755e-02 0.6803240636 0.9985953
## 2310  2310 response 0.87659526 1.794135e-01 0.2158378058 0.9945747
## 2311  2311 response 0.98957678 1.676853e-02 0.7968794987 0.9995649
## 2312  2312 response 0.99734860 4.277875e-03 0.9404377066 0.9998884
## 2313  2313 response 0.98565208 2.479559e-02 0.6885285933 0.9995318
## 2314  2314 response 0.78841359 2.895557e-01 0.1104019397 0.9911410
## 2315  2315 response 0.93656244 1.009103e-01 0.3459847561 0.9975788
## 2316  2316 response 0.72945248 3.686167e-01 0.0648270456 0.9905543
## 2317  2317 response 0.92055784 1.276531e-01 0.2746331153 0.9971883
## 2318  2318 response 0.97868338 3.578482e-02 0.6141542929 0.9992454
## 2319  2319 response 0.89344350 1.780643e-01 0.1766124980 0.9969583
## 2320  2320 response 0.99115548 1.645966e-02 0.7386627989 0.9997750
## 2321  2321 response 0.99775285 4.175171e-03 0.9202724650 0.9999415
## 2322  2322 response 0.98781789 2.384955e-02 0.6250606198 0.9997465
## 2323  2323 response 0.92747779 9.844963e-02 0.4206415129 0.9955805
## 2324  2324 response 0.98064665 2.706562e-02 0.7558844411 0.9987955
## 2325  2325 response 0.90247508 1.396752e-01 0.2920662886 0.9952053
## 2326  2326 response 0.97547274 3.534290e-02 0.6873772744 0.9986118
## 2327  2327 response 0.99369388 9.074415e-03 0.9021770612 0.9996287
## 2328  2328 response 0.96641761 5.166127e-02 0.5596451413 0.9984677
## 2329  2329 response 0.99740678 4.228084e-03 0.9398199517 0.9998944
## 2330  2330 response 0.99934422 1.063617e-03 0.9844504733 0.9999727
## 2331  2331 response 0.99641968 6.153276e-03 0.9044901521 0.9998777
## 2332  2332 response 0.82100624 2.260881e-01 0.1835922835 0.9894242
## 2333  2333 response 0.94784399 7.447653e-02 0.4868038194 0.9971361
## 2334  2334 response 0.76846019 3.011875e-01 0.1073528986 0.9891999
## 2335  2335 response 0.93448651 9.375028e-02 0.4149326836 0.9965264
## 2336  2336 response 0.98261333 2.574669e-02 0.7466423640 0.9990782
## 2337  2337 response 0.91166999 1.352038e-01 0.2775747797 0.9964061
## 2338  2338 response 0.99280297 1.176575e-02 0.8454662092 0.9997126
## 2339  2339 response 0.99817370 2.986883e-03 0.9565733479 0.9999263
## 2340  2340 response 0.99008086 1.739281e-02 0.7562393580 0.9996887
## 2341  2341 response 0.84409414 2.254030e-01 0.1586892927 0.9936064
## 2342  2342 response 0.95545903 7.126941e-02 0.4460787599 0.9982530
## 2343  2343 response 0.79664709 2.988640e-01 0.0953202589 0.9931815
## 2344  2344 response 0.94393645 9.112165e-02 0.3655828507 0.9979714
## 2345  2345 response 0.98523097 2.460415e-02 0.7081132014 0.9994551
## 2346  2346 response 0.92414393 1.294531e-01 0.2461376038 0.9978050
## 2347  2347 response 0.99389604 1.124796e-02 0.8113528942 0.9998378
## 2348  2348 response 0.99845235 2.840413e-03 0.9461787640 0.9999578
## 2349  2349 response 0.99158386 1.634032e-02 0.7173782496 0.9998172
## 2350  2350 response 0.99095901 1.687258e-02 0.7321949457 0.9997725
## 2351  2351 response 0.99770260 4.246591e-03 0.9200095605 0.9999390
## 2352  2352 response 0.98754822 2.424523e-02 0.6245578628 0.9997356
## 2353  2353 response 0.99707481 5.510634e-03 0.8936280600 0.9999277
## 2354  2354 response 0.99926009 1.379076e-03 0.9721448333 0.9999809
## 2355  2355 response 0.99596185 7.928401e-03 0.8381022132 0.9999149
## 2356  2356 response 0.99969673 6.083509e-04 0.9847490725 0.9999941
## 2357  2357 response 0.99992344 1.527750e-04 0.9961886905 0.9999985
## 2358  2358 response 0.99958093 8.680279e-04 0.9762390537 0.9999928
## 2359  2359 response 0.97519297 4.935903e-02 0.4188555626 0.9995338
## 2360  2360 response 0.99362058 1.277215e-02 0.7500850556 0.9998763
## 2361  2361 response 0.96603815 7.056543e-02 0.2957567415 0.9994812
## 2362  2362 response 0.99188642 1.634363e-02 0.6954470198 0.9998472
## 2363  2363 response 0.99793970 4.135069e-03 0.9038740196 0.9999599
## 2364  2364 response 0.98882156 2.361139e-02 0.5734253253 0.9998282
## 2365  2365 response 0.99915488 1.782739e-03 0.9496562145 0.9999865
## 2366  2366 response 0.99978656 4.488704e-04 0.9869924734 0.9999965
## 2367  2367 response 0.99883241 2.567571e-03 0.9195733457 0.9999844
## 2368  2368 response 0.97890379 4.041577e-02 0.5003881772 0.9995351
## 2369  2369 response 0.99459016 1.034319e-02 0.8094485247 0.9998743
## 2370  2370 response 0.97107780 5.799912e-02 0.3696594600 0.9994801
## 2371  2371 response 0.99311774 1.340152e-02 0.7556365621 0.9998515
## 2372  2372 response 0.99825399 3.367671e-03 0.9283574521 0.9999604
## 2373  2373 response 0.99051355 1.938155e-02 0.6469483799 0.9998319
## 2374  2374 response 0.99928394 1.481002e-03 0.9602437000 0.9999876
## 2375  2375 response 0.99981917 3.713713e-04 0.9899669914 0.9999968
## 2376  2376 response 0.99901066 2.130111e-03 0.9366351115 0.9999855
## 2377  2377 response 0.79958143 2.320113e-01 0.1893936115 0.9855330
## 2378  2378 response 0.94050088 7.911418e-02 0.4973689731 0.9960553
## 2379  2379 response 0.74271681 3.048773e-01 0.1123519542 0.9850387
## 2380  2380 response 0.92541077 1.012114e-01 0.4120189299 0.9954683
## 2381  2381 response 0.98006247 2.815488e-02 0.7447747368 0.9987938
## 2382  2382 response 0.89977244 1.447121e-01 0.2788059498 0.9952260
## 2383  2383 response 0.99173449 1.338973e-02 0.8300318863 0.9996609
## 2384  2384 response 0.99790088 3.404326e-03 0.9516074711 0.9999130
## 2385  2385 response 0.98861289 1.964165e-02 0.7396467848 0.9996232
## 2386  2386 response 0.58862501 3.533360e-01 0.0757410557 0.9615149
## 2387  2387 response 0.85005785 1.821888e-01 0.2560712165 0.9894037
## 2388  2388 response 0.50868444 4.107364e-01 0.0396828528 0.9628819
## 2389  2389 response 0.81650497 2.182158e-01 0.2039490914 0.9872260
## 2390  2390 response 0.94632385 7.288166e-02 0.5143516896 0.9966042
## 2391  2391 response 0.76301892 2.953828e-01 0.1158403570 0.9875195
## 2392  2392 response 0.97728977 3.520421e-02 0.6577157258 0.9989634
## 2393  2393 response 0.99416912 9.166174e-03 0.8848921947 0.9997356
## 2394  2394 response 0.96888407 5.234116e-02 0.5089044775 0.9989324
## 2395  2395 response 0.62810973 4.080717e-01 0.0521591052 0.9810742
## 2396  2396 response 0.86999185 1.937383e-01 0.1890311353 0.9948217
## 2397  2397 response 0.54997586 4.692693e-01 0.0288728537 0.9804819
## 2398  2398 response 0.84006037 2.364525e-01 0.1430017952 0.9939878
## 2399  2399 response 0.95415010 7.580668e-02 0.4107638968 0.9983929
## 2400  2400 response 0.79168866 3.135872e-01 0.0838084751 0.9937067
## 2401  2401 response 0.98069315 3.591443e-02 0.5523363530 0.9995220
## 2402  2402 response 0.99505574 9.270170e-03 0.8336206225 0.9998763
## 2403  2403 response 0.97351300 5.200422e-02 0.4137197279 0.9994779
## 2404  2404 response 0.85287152 1.791064e-01 0.2611010217 0.9895935
## 2405  2405 response 0.95827656 5.567522e-02 0.5998523363 0.9971662
## 2406  2406 response 0.80748646 2.448363e-01 0.1606804166 0.9892357
## 2407  2407 response 0.94744277 7.195835e-02 0.5148791142 0.9967446
## 2408  2408 response 0.98619243 1.932190e-02 0.8157056614 0.9991331
## 2409  2409 response 0.92879474 1.047175e-01 0.3693370842 0.9965698
## 2410  2410 response 0.99429668 9.145041e-03 0.8808222482 0.9997569
## 2411  2411 response 0.99855436 2.315430e-03 0.9675166889 0.9999376
## 2412  2412 response 0.99213505 1.344889e-02 0.8114377001 0.9997296
## 2413  2413 response 0.67522350 3.206948e-01 0.1058071900 0.9733542
## 2414  2414 response 0.89174370 1.382696e-01 0.3321280545 0.9927244
## 2415  2415 response 0.60069544 3.944285e-01 0.0565393594 0.9742026
## 2416  2416 response 0.86604904 1.692181e-01 0.2704218850 0.9912109
## 2417  2417 response 0.96242938 5.195006e-02 0.6052383088 0.9976690
## 2418  2418 response 0.82388951 2.370351e-01 0.1599008422 0.9913783
## 2419  2419 response 0.98425853 2.457854e-02 0.7362139230 0.9992866
## 2420  2420 response 0.99597966 6.331008e-03 0.9178478085 0.9998180
## 2421  2421 response 0.97837509 3.669855e-02 0.6016567205 0.9992627
## 2422  2422 response 0.71048452 3.505771e-01 0.0799730388 0.9857717
## 2423  2423 response 0.90674377 1.411379e-01 0.2695594531 0.9961117
## 2424  2424 response 0.63973070 4.275686e-01 0.0447085747 0.9853743
## 2425  2425 response 0.88414684 1.758437e-01 0.2087672762 0.9954901
## 2426  2426 response 0.96798681 5.232930e-02 0.5248107879 0.9987935
## 2427  2427 response 0.84667496 2.414530e-01 0.1260118873 0.9952940
## 2428  2428 response 0.98663185 2.447006e-02 0.6604156678 0.9996431
## 2429  2429 response 0.99659192 6.256839e-03 0.8877159288 0.9999076
## 2430  2430 response 0.98161888 3.565775e-02 0.5261074683 0.9996109
## 2431  2431 response 0.89387279 1.357651e-01 0.3375838043 0.9928675
## 2432  2432 response 0.97090594 3.943445e-02 0.6838517629 0.9980614
## 2433  2433 response 0.85904518 1.908922e-01 0.2171269224 0.9925883
## 2434  2434 response 0.96322562 5.128554e-02 0.6053399933 0.9977693
## 2435  2435 response 0.99045604 1.343647e-02 0.8648688501 0.9994061
## 2436  2436 response 0.94988133 7.540729e-02 0.4594485904 0.9976393
## 2437  2437 response 0.99606777 6.318998e-03 0.9147107892 0.9998329
## 2438  2438 response 0.99900461 1.595360e-03 0.9773994685 0.9999571
## 2439  2439 response 0.99457375 9.295316e-03 0.8623890169 0.9998135
## 2440  2440 response 0.75129461 2.782468e-01 0.1402606743 0.9824360
## 2441  2441 response 0.92289160 1.038456e-01 0.4066532713 0.9952385
## 2442  2442 response 0.68610797 3.588840e-01 0.0769793870 0.9828437
## 2443  2443 response 0.90379229 1.290818e-01 0.3386044859 0.9942323
## 2444  2444 response 0.97383606 3.726633e-02 0.6792231784 0.9984739
## 2445  2445 response 0.87175291 1.850188e-01 0.2096524429 0.9942917
## 2446  2446 response 0.98911271 1.731994e-02 0.7952555800 0.9995296
## 2447  2447 response 0.99722958 4.428283e-03 0.9395984977 0.9998800
## 2448  2448 response 0.98501592 2.587268e-02 0.6791704251 0.9995104
## 2449  2449 response 0.78097559 2.876187e-01 0.1166807400 0.9897174
## 2450  2450 response 0.93389573 1.015795e-01 0.3596593997 0.9971938
## 2451  2451 response 0.72067612 3.688833e-01 0.0663728293 0.9894333
## 2452  2452 response 0.91727777 1.284733e-01 0.2864785292 0.9967453
## 2453  2453 response 0.97774523 3.621675e-02 0.6272661571 0.9991289
## 2454  2454 response 0.88917869 1.809736e-01 0.1798750791 0.9966047
## 2455  2455 response 0.99076104 1.676848e-02 0.7473607294 0.9997428
## 2456  2456 response 0.99765194 4.259562e-03 0.9232906177 0.9999333
## 2457  2457 response 0.98727653 2.452947e-02 0.6281310375 0.9997195
## 2458  2458 response 0.98633628 2.507756e-02 0.6529931718 0.9996390
## 2459  2459 response 0.99651579 6.362012e-03 0.8874248046 0.9999036
## 2460  2460 response 0.98121459 3.623417e-02 0.5256934313 0.9995939
## 2461  2461 response 0.99556514 8.252730e-03 0.8519924645 0.9998858
## 2462  2462 response 0.99887695 2.072206e-03 0.9596921444 0.9999699
## 2463  2463 response 0.99388132 1.196499e-02 0.7745169433 0.9998698
## 2464  2464 response 0.99953959 9.165767e-04 0.9776703609 0.9999907
## 2465  2465 response 0.99988376 2.304858e-04 0.9943647723 0.9999976
## 2466  2466 response 0.99936382 1.317658e-03 0.9643366961 0.9999890
## 2467  2467 response 0.96281147 7.182060e-02 0.3368106921 0.9992429
## 2468  2468 response 0.99034548 1.895385e-02 0.6781527054 0.9997998
## 2469  2469 response 0.94932480 1.025882e-01 0.2228233289 0.9991837
## 2470  2470 response 0.98773202 2.421375e-02 0.6158383973 0.9997528
## 2471  2471 response 0.99687499 6.170017e-03 0.8679899032 0.9999354
## 2472  2472 response 0.98312455 3.516525e-02 0.4776589243 0.9997306
## 2473  2473 response 0.99871735 2.669469e-03 0.9291172476 0.9999784
## 2474  2474 response 0.99967596 6.732330e-04 0.9813110478 0.9999945
## 2475  2475 response 0.99822822 3.872176e-03 0.8852327886 0.9999757
## 2476  2476 response 0.96831424 5.928529e-02 0.4091503532 0.9992591
## 2477  2477 response 0.99180872 1.543184e-02 0.7452655606 0.9998005
## 2478  2478 response 0.95673350 8.512607e-02 0.2820252675 0.9991973
## 2479  2479 response 0.98958718 1.997112e-02 0.6803999565 0.9997643
## 2480  2480 response 0.99735127 5.049903e-03 0.8988360533 0.9999373
## 2481  2481 response 0.98566634 2.904787e-02 0.5500771443 0.9997415
## 2482  2482 response 0.99891314 2.228172e-03 0.9427236922 0.9999805
## 2483  2483 response 0.99972546 5.595889e-04 0.9852851774 0.9999950
## 2484  2484 response 0.99849856 3.227268e-03 0.9072612953 0.9999779
## 2485  2485 response 0.75565710 2.664742e-01 0.1545132840 0.9812505
## 2486  2486 response 0.92454643 9.843813e-02 0.4353881522 0.9948902
## 2487  2487 response 0.69114383 3.421728e-01 0.0881642909 0.9810571
## 2488  2488 response 0.90581519 1.248550e-01 0.3532500879 0.9941295
## 2489  2489 response 0.97442786 3.588173e-02 0.6938195376 0.9984418
## 2490  2490 response 0.87435582 1.772729e-01 0.2274650021 0.9939567
## 2491  2491 response 0.98936275 1.719649e-02 0.7908567350 0.9995631
## 2492  2492 response 0.99729372 4.392523e-03 0.9381762921 0.9998883
## 2493  2493 response 0.98535865 2.533245e-02 0.6830099683 0.9995245
## 2494  2494 response 0.52588158 3.597833e-01 0.0615368066 0.9493984
## 2495  2495 response 0.81463142 2.136521e-01 0.2154025136 0.9859840
## 2496  2496 response 0.44523955 4.051941e-01 0.0312147060 0.9523616
## 2497  2497 response 0.77524709 2.512526e-01 0.1696532890 0.9831174
## 2498  2498 response 0.93181762 9.035139e-02 0.4570252275 0.9955137
## 2499  2499 response 0.71394816 3.333173e-01 0.0924385437 0.9839125
## 2500  2500 response 0.97089484 4.453696e-02 0.6030623853 0.9986365
## 2501  2501 response 0.99249069 1.172267e-02 0.8583018256 0.9996534
## 2502  2502 response 0.96021854 6.637714e-02 0.4447234317 0.9986272
## 2503  2503 response 0.56695808 4.274513e-01 0.0413719101 0.9754408
## 2504  2504 response 0.83837972 2.314972e-01 0.1541609269 0.9932723
## 2505  2505 response 0.48648028 4.747396e-01 0.0223416988 0.9751691
## 2506  2506 response 0.80281977 2.778781e-01 0.1154252381 0.9921900
## 2507  2507 response 0.94162848 9.508303e-02 0.3521116073 0.9979159
## 2508  2508 response 0.74658277 3.608196e-01 0.0655343770 0.9919846
## 2509  2509 response 0.97523228 4.578009e-02 0.4895953523 0.9993817
## 2510  2510 response 0.99363089 1.192453e-02 0.7952482290 0.9998404
## 2511  2511 response 0.96609146 6.632344e-02 0.3501099508 0.9993368
## 2512  2512 response 0.81796751 2.118900e-01 0.2164417706 0.9865043
## 2513  2513 response 0.94681907 6.999651e-02 0.5386267627 0.9963304
## 2514  2514 response 0.76478497 2.847461e-01 0.1274904975 0.9863668
## 2515  2515 response 0.93321759 8.990678e-02 0.4525791636 0.9957840
## 2516  2516 response 0.98225887 2.471786e-02 0.7745046960 0.9988808
## 2517  2517 response 0.91000171 1.304504e-01 0.3082675926 0.9956600
## 2518  2518 response 0.99265469 1.176492e-02 0.8511732809 0.9996869
## 2519  2519 response 0.99813586 2.989397e-03 0.9582796745 0.9999199
## 2520  2520 response 0.98987708 1.738658e-02 0.7653117871 0.9996591
## 2521  2521 response 0.61709623 3.418121e-01 0.0864304551 0.9648552
## 2522  2522 response 0.86459746 1.660222e-01 0.2838321513 0.9903734
## 2523  2523 response 0.53834913 4.080210e-01 0.0446144956 0.9668004
## 2524  2524 response 0.83366149 2.003206e-01 0.2280189405 0.9883777
## 2525  2525 response 0.95205522 6.501737e-02 0.5490514376 0.9969217
## 2526  2526 response 0.78385247 2.765914e-01 0.1288249839 0.9888809
## 2527  2527 response 0.97978533 3.122627e-02 0.6880113627 0.9990622
## 2528  2528 response 0.99481969 8.106965e-03 0.8979330109 0.9997615
## 2529  2529 response 0.97227710 4.680293e-02 0.5384596595 0.9990524
## 2530  2530 response 0.65544782 3.835955e-01 0.0638022116 0.9815159
## 2531  2531 response 0.88286486 1.721728e-01 0.2238686117 0.9949482
## 2532  2532 response 0.57920978 4.532973e-01 0.0346986432 0.9813814
## 2533  2533 response 0.85540452 2.118058e-01 0.1709858358 0.9941411
## 2534  2534 response 0.95908195 6.616505e-02 0.4625460004 0.9984359
## 2535  2535 response 0.81062733 2.864504e-01 0.0994638942 0.9940083
## 2536  2536 response 0.98282130 3.130274e-02 0.6017875776 0.9995385
## 2537  2537 response 0.99560782 8.056788e-03 0.8596529653 0.9998808
## 2538  2538 response 0.97641356 4.570231e-02 0.4585324821 0.9995061
## 2539  2539 response 0.86718093 1.643877e-01 0.2847353499 0.9907479
## 2540  2540 response 0.96278186 4.995285e-02 0.6273223908 0.9974909
## 2541  2541 response 0.82530579 2.284790e-01 0.1746130800 0.9906104
## 2542  2542 response 0.95306060 6.467599e-02 0.5441984621 0.9971122
## 2543  2543 response 0.98772199 1.723574e-02 0.8322994464 0.9992337
## 2544  2544 response 0.93627177 9.509283e-02 0.3926062989 0.9970143
## 2545  2545 response 0.99493309 8.139247e-03 0.8924022919 0.9997849
## 2546  2546 response 0.99871629 2.060686e-03 0.9708701421 0.9999449
## 2547  2547 response 0.99301098 1.203607e-02 0.8259676550 0.9997650
## 2548  2548 response 0.70074827 3.090957e-01 0.1152601328 0.9767932
## 2549  2549 response 0.90270378 1.269805e-01 0.3529718652 0.9937024
## 2550  2550 response 0.62885800 3.883917e-01 0.0609829774 0.9778795
## 2551  2551 response 0.87925827 1.561698e-01 0.2895128346 0.9923745
## 2552  2552 response 0.96650193 4.697295e-02 0.6268117797 0.9979864
## 2553  2553 response 0.84049048 2.217589e-01 0.1707822143 0.9926367
## 2554  2554 response 0.98599929 2.207450e-02 0.7540725240 0.9993821
## 2555  2555 response 0.99642895 5.676550e-03 0.9244628957 0.9998428
## 2556  2556 response 0.98075374 3.312791e-02 0.6203853656 0.9993710
## 2557  2557 response 0.73432843 3.269537e-01 0.0938056360 0.9866318
## 2558  2558 response 0.91632771 1.258534e-01 0.3049675640 0.9963548
## 2559  2559 response 0.66666788 4.083405e-01 0.0517422872 0.9865423
## 2560  2560 response 0.89578616 1.576834e-01 0.2387900160 0.9957722
## 2561  2561 response 0.97147480 4.605688e-02 0.5672261761 0.9988712
## 2562  2562 response 0.86148916 2.199114e-01 0.1437598213 0.9956786
## 2563  2563 response 0.98811332 2.150495e-02 0.6967411316 0.9996676
## 2564  2564 response 0.99697299 5.489204e-03 0.9030987002 0.9999141
## 2565  2565 response 0.98364669 3.154961e-02 0.5628442759 0.9996443
## 2566  2566 response 0.98244298 3.207210e-02 0.5939362277 0.9995331
## 2567  2567 response 0.99550981 8.191234e-03 0.8593339808 0.9998757
## 2568  2568 response 0.97589758 4.642921e-02 0.4581632970 0.9994845
## 2569  2569 response 0.99428625 1.061877e-02 0.8169331900 0.9998527
## 2570  2570 response 0.99855171 2.673629e-03 0.9484594599 0.9999613
## 2571  2571 response 0.99212071 1.545400e-02 0.7233046462 0.9998351
## 2572  2572 response 0.99940614 1.183576e-03 0.9712432287 0.9999881
## 2573  2573 response 0.99985005 2.979018e-04 0.9926866313 0.9999969
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## 2575  2575 response 0.95253761 9.024499e-02 0.2863508008 0.9990048
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## 2577  2577 response 0.93557438 1.285119e-01 0.1819520110 0.9989464
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## 2580  2580 response 0.97833619 4.494008e-02 0.4144420789 0.9996531
## 2581  2581 response 0.99834595 3.431698e-03 0.9113104925 0.9999718
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## 2583  2583 response 0.99771553 4.997056e-03 0.8559795379 0.9999688
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## 2588  2588 response 0.99658568 6.502790e-03 0.8733262202 0.9999191
## 2589  2589 response 0.98158571 3.729279e-02 0.4830667563 0.9996712
## 2590  2590 response 0.99859836 2.873437e-03 0.9272399179 0.9999749
## 2591  2591 response 0.99964587 7.224741e-04 0.9810258269 0.9999935
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## 2895  2895 response 0.95289036 6.342048e-02 0.5592230978 0.9969086
## 2896  2896 response 0.99631461 5.403953e-03 0.9379132055 0.9997933
## 2897  2897 response 0.99906727 1.390036e-03 0.9829235367 0.9999498
## 2898  2898 response 0.99491390 7.753430e-03 0.9066188585 0.9997463
## 2899  2899 response 0.76325484 2.689794e-01 0.1484348027 0.9835063
## 2900  2900 response 0.92739719 1.002251e-01 0.4085208005 0.9957848
## 2901  2901 response 0.69995106 3.381996e-01 0.0903710819 0.9820710
## 2902  2902 response 0.90930423 1.209014e-01 0.3616650957 0.9943950
## 2903  2903 response 0.97544407 3.530538e-02 0.6884868008 0.9986013
## 2904  2904 response 0.87885440 1.684108e-01 0.2462707987 0.9938299
## 2905  2905 response 0.98979168 1.573866e-02 0.8207379320 0.9995132
## 2906  2906 response 0.99740368 4.091672e-03 0.9455359247 0.9998824
## 2907  2907 response 0.98594675 2.289437e-02 0.7334561590 0.9994413
## 2908  2908 response 0.79190383 2.253720e-01 0.2068474728 0.9823101
## 2909  2909 response 0.93780167 7.908826e-02 0.5139283880 0.9953706
## 2910  2910 response 0.73358666 2.911282e-01 0.1293503938 0.9807821
## 2911  2911 response 0.92208370 9.789948e-02 0.4502332803 0.9941864
## 2912  2912 response 0.97911814 2.779666e-02 0.7655126825 0.9985173
## 2913  2913 response 0.89543100 1.382796e-01 0.3214695794 0.9935803
## 2914  2914 response 0.99133812 1.285187e-02 0.8589580507 0.9995353
## 2915  2915 response 0.99779956 3.314233e-03 0.9592365147 0.9998856
## 2916  2916 response 0.98806862 1.869715e-02 0.7871979089 0.9994609
## 2917  2917 response 0.24652726 1.336579e-01 0.0739515563 0.5727490
## 2918  2918 response 0.56452578 1.778348e-01 0.2389833452 0.8425549
## 2919  2919 response 0.19142720 1.453126e-01 0.0362354587 0.5985153
## 2920  2920 response 0.50433515 1.843157e-01 0.1934454636 0.8119083
## 2921  2921 response 0.80124784 1.205095e-01 0.4777505060 0.9467118
## 2922  2922 response 0.42404209 2.294730e-01 0.1045429310 0.8227852
## 2923  2923 response 0.90774973 8.398445e-02 0.5795147523 0.9859661
## 2924  2924 response 0.97499202 2.536018e-02 0.8354406032 0.9966711
## 2925  2925 response 0.87684869 1.229369e-01 0.4332940411 0.9851423
## 2926  2926 response 0.10502321 5.795209e-02 0.0338610409 0.2820754
## 2927  2927 response 0.31737844 1.364913e-01 0.1191354537 0.6151355
## 2928  2928 response 0.07826485 6.713272e-02 0.0135183789 0.3447440
## 2929  2929 response 0.26736063 1.149265e-01 0.1035851305 0.5354154
## 2930  2930 response 0.59114856 1.498662e-01 0.3001462469 0.8297749
## 2931  2931 response 0.20889515 1.483328e-01 0.0434871260 0.6053084
## 2932  2932 response 0.77920979 1.421703e-01 0.4113013612 0.9468852
## 2933  2933 response 0.93325743 5.466030e-02 0.7146117140 0.9873552
## 2934  2934 response 0.71859934 2.116392e-01 0.2471649986 0.9520674
## 2935  2935 response 0.12166203 1.213794e-01 0.0147297424 0.5620481
## 2936  2936 response 0.35434053 2.583468e-01 0.0566126188 0.8338576
## 2937  2937 response 0.09109585 1.094484e-01 0.0074566205 0.5721219
## 2938  2938 response 0.30106675 2.406034e-01 0.0438025575 0.8019975
## 2939  2939 response 0.63054310 2.672235e-01 0.1526843845 0.9417390
## 2940  2940 response 0.23762113 2.389706e-01 0.0229500244 0.8052893
## 2941  2941 response 0.80641772 2.066429e-01 0.2373005830 0.9823868
## 2942  2942 response 0.94287382 7.241656e-02 0.5420428404 0.9956740
## 2943  2943 response 0.75088846 2.733839e-01 0.1466448022 0.9814375
## 2944  2944 response 0.32221788 1.461512e-01 0.1135253976 0.6383085
## 2945  2945 response 0.65320853 1.523618e-01 0.3351248258 0.8756038
## 2946  2946 response 0.25594721 1.708987e-01 0.0559349082 0.6663505
## 2947  2947 response 0.59651459 1.651489e-01 0.2781032685 0.8501549
## 2948  2948 response 0.85417565 8.797453e-02 0.5947029372 0.9589885
## 2949  2949 response 0.51684874 2.238885e-01 0.1557984141 0.8611255
## 2950  2950 response 0.93462991 5.883121e-02 0.6841268084 0.9895160
## 2951  2951 response 0.98265334 1.706428e-02 0.8884258561 0.9975248
## 2952  2952 response 0.91185863 8.845796e-02 0.5447315913 0.9889442
## 2953  2953 response 0.14566747 7.654769e-02 0.0485885261 0.3627544
## 2954  2954 response 0.40318218 1.510643e-01 0.1648353910 0.6980933
## 2955  2955 response 0.10982431 9.055982e-02 0.0196835509 0.4311939
## 2956  2956 response 0.34650609 1.319462e-01 0.1447355906 0.6242522
## 2957  2957 response 0.67750687 1.344737e-01 0.3860489759 0.8752968
## 2958  2958 response 0.27728368 1.786585e-01 0.0626598794 0.6876968
## 2959  2959 response 0.83681107 1.119752e-01 0.5068885785 0.9623782
## 2960  2960 response 0.95308919 3.894085e-02 0.7865757995 0.9911506
## 2961  2961 response 0.78770500 1.736839e-01 0.3264009604 0.9660000
## 2962  2962 response 0.16754012 1.483871e-01 0.0244009138 0.6182452
## 2963  2963 response 0.44364263 2.607358e-01 0.0913860836 0.8634263
## 2964  2964 response 0.12711573 1.396028e-01 0.0122166163 0.6316394
## 2965  2965 response 0.38494744 2.534846e-01 0.0712933684 0.8361406
## 2966  2966 response 0.71262549 2.199630e-01 0.2320083744 0.9531734
## 2967  2967 response 0.31170854 2.690667e-01 0.0373206735 0.8410265
## 2968  2968 response 0.85821242 1.532085e-01 0.3391219039 0.9861872
## 2969  2969 response 0.95997075 4.920489e-02 0.6609650538 0.9966217
## 2970  2970 response 0.81411580 2.120215e-01 0.2194260407 0.9855566
## 2971  2971 response 0.40854693 1.616594e-01 0.1569327761 0.7193577
## 2972  2972 response 0.73239248 1.316440e-01 0.4231970825 0.9107846
## 2973  2973 response 0.33325084 1.986033e-01 0.0797767491 0.7423746
## 2974  2974 response 0.68234851 1.482246e-01 0.3599127158 0.8913799
## 2975  2975 response 0.89485830 6.617521e-02 0.6819684963 0.9712481
## 2976  2976 response 0.60850749 2.123472e-01 0.2131558235 0.8991751
## 2977  2977 response 0.95407393 4.198730e-02 0.7605290439 0.9926948
## 2978  2978 response 0.98799648 1.181317e-02 0.9211562218 0.9982784
## 2979  2979 response 0.93762382 6.396611e-02 0.6379624612 0.9922617
## 2980  2980 response 0.19855157 1.062954e-01 0.0627027503 0.4784762
## 2981  2981 response 0.49534987 1.697279e-01 0.2059752533 0.7878738
## 2982  2982 response 0.15201102 1.236258e-01 0.0266325099 0.5401136
## 2983  2983 response 0.43516448 1.563255e-01 0.1813334217 0.7282414
## 2984  2984 response 0.75323861 1.236788e-01 0.4530864007 0.9183494
## 2985  2985 response 0.35793150 2.123312e-01 0.0835398155 0.7732034
## 2986  2986 response 0.88166703 8.923185e-02 0.5822433259 0.9755085
## 2987  2987 response 0.96723507 2.864043e-02 0.8339392055 0.9942704
## 2988  2988 response 0.84353501 1.404077e-01 0.4012422439 0.9774636
## 2989  2989 response 0.22626197 1.788229e-01 0.0379956605 0.6840544
## 2990  2990 response 0.53674136 2.519021e-01 0.1372445238 0.8940533
## 2991  2991 response 0.17464147 1.758443e-01 0.0190002540 0.6980342
## 2992  2992 response 0.47627319 2.561736e-01 0.1083337035 0.8719061
## 2993  2993 response 0.78275468 1.751747e-01 0.3236079126 0.9644571
## 2994  2994 response 0.39687061 2.907245e-01 0.0573764662 0.8767481
## 2995  2995 response 0.89790348 1.118238e-01 0.4460489235 0.9896967
## 2996  2996 response 0.97210224 3.366893e-02 0.7535454423 0.9974881
## 2997  2997 response 0.86419766 1.600349e-01 0.3053283682 0.9892629
## 2998  2998 response 0.85549337 1.657629e-01 0.2994998099 0.9879478
## 2999  2999 response 0.95911013 5.255471e-02 0.6291646490 0.9969257
## 3000  3000 response 0.81073760 2.230947e-01 0.1986349403 0.9866720
## 3001  3001 response 0.94848115 6.558168e-02 0.5701417477 0.9961020
## 3002  3002 response 0.98647616 1.801085e-02 0.8380309428 0.9990285
## 3003  3003 response 0.93017439 9.396050e-02 0.4388012515 0.9956133
## 3004  3004 response 0.99441481 8.272288e-03 0.9057493798 0.9996969
## 3005  3005 response 0.99858443 2.137575e-03 0.9732725862 0.9999268
## 3006  3006 response 0.99229762 1.199024e-02 0.8561590470 0.9996415
## 3007  3007 response 0.67982261 3.219789e-01 0.1046758580 0.9747223
## 3008  3008 response 0.89375913 1.407528e-01 0.3152719696 0.9935361
## 3009  3009 response 0.60573369 3.870400e-01 0.0602582033 0.9735526
## 3010  3010 response 0.86847227 1.667008e-01 0.2743251005 0.9914040
## 3011  3011 response 0.96318318 5.214567e-02 0.5943976069 0.9978634
## 3012  3012 response 0.82692302 2.282580e-01 0.1733762024 0.9908955
## 3013  3013 response 0.98458138 2.363221e-02 0.7512983198 0.9992597
## 3014  3014 response 0.99606308 6.203891e-03 0.9192832731 0.9998221
## 3015  3015 response 0.97881600 3.462377e-02 0.6365318699 0.9991804
## 3016  3016 response 0.71479522 2.799504e-01 0.1452083040 0.9736675
## 3017  3017 response 0.90850860 1.134544e-01 0.4062078118 0.9931101
## 3018  3018 response 0.64456786 3.470947e-01 0.0851638648 0.9724726
## 3019  3019 response 0.88628567 1.382027e-01 0.3465318559 0.9913458
## 3020  3020 response 0.96863273 4.167273e-02 0.6774120756 0.9978027
## 3021  3021 response 0.84938773 1.925539e-01 0.2278880236 0.9908053
## 3022  3022 response 0.98690667 1.951248e-02 0.7962248127 0.9993127
## 3023  3023 response 0.99666268 5.074924e-03 0.9375457222 0.9998317
## 3024  3024 response 0.98199487 2.859946e-02 0.6960648542 0.9992307
## 3025  3025 response 0.20231539 1.221314e-01 0.0544163041 0.5278132
## 3026  3026 response 0.50122130 1.910285e-01 0.1835078386 0.8179516
## 3027  3027 response 0.15506329 1.292711e-01 0.0258501420 0.5593174
## 3028  3028 response 0.44094586 1.915226e-01 0.1467808570 0.7833722
## 3029  3029 response 0.75757800 1.467228e-01 0.3949886942 0.9373377
## 3030  3030 response 0.36334686 2.289955e-01 0.0757821001 0.7988868
## 3031  3031 response 0.88409548 1.062870e-01 0.4997097687 0.9831226
## 3032  3032 response 0.96797127 3.335456e-02 0.7858240924 0.9959990
## 3033  3033 response 0.84660987 1.538351e-01 0.3512534407 0.9825369
## 3034  3034 response 0.08338022 4.842000e-02 0.0256059043 0.2394731
## 3035  3035 response 0.26492788 1.267729e-01 0.0914205842 0.5635026
## 3036  3036 response 0.06175567 5.570896e-02 0.0099001483 0.3022950
## 3037  3037 response 0.22050595 1.046227e-01 0.0790211236 0.4825773
## 3038  3038 response 0.52848171 1.607949e-01 0.2403680626 0.7987923
## 3039  3039 response 0.16991028 1.314846e-01 0.0318783418 0.5599365
## 3040  3040 response 0.73231545 1.662433e-01 0.3416948938 0.9351454
## 3041  3041 response 0.91553511 6.968420e-02 0.6495377612 0.9844701
## 3042  3042 response 0.66437655 2.410731e-01 0.1921442051 0.9427760
## 3043  3043 response 0.09696163 1.012701e-01 0.0110054039 0.5088498
## 3044  3044 response 0.29845224 2.413081e-01 0.0425525357 0.8028453
## 3045  3045 response 0.07209179 9.054317e-02 0.0054436643 0.5244453
## 3046  3046 response 0.25032335 2.188407e-01 0.0328471570 0.7665111
## 3047  3047 response 0.56951734 2.873736e-01 0.1173782235 0.9293836
## 3048  3048 response 0.19459397 2.120040e-01 0.0167631982 0.7739588
## 3049  3049 response 0.76354859 2.432148e-01 0.1872309573 0.9783862
## 3050  3050 response 0.92750662 9.208842e-02 0.4662173343 0.9946927
## 3051  3051 response 0.70029251 3.138259e-01 0.1108654641 0.9776716
## 3052  3052 response 0.26928305 1.396711e-01 0.0839780056 0.5969949
## 3053  3053 response 0.59351309 1.729695e-01 0.2637242194 0.8561551
## 3054  3054 response 0.21051798 1.575394e-01 0.0399393181 0.6308868
## 3055  3055 response 0.53402188 1.814753e-01 0.2153352772 0.8271635
## 3056  3056 response 0.81951556 1.112278e-01 0.5097938478 0.9519814
## 3057  3057 response 0.45332511 2.353704e-01 0.1141801836 0.8421411
## 3058  3058 response 0.91723972 7.584602e-02 0.6099577758 0.9874289
## 3059  3059 response 0.97773432 2.261232e-02 0.8514962953 0.9970353
## 3060  3060 response 0.88912928 1.132395e-01 0.4577056299 0.9870463
## 3061  3061 response 0.11674114 6.526472e-02 0.0368195991 0.3136504
## 3062  3062 response 0.34369102 1.465392e-01 0.1278422921 0.6516717
## 3063  3063 response 0.08728841 7.631284e-02 0.0144202498 0.3846617
## 3064  3064 response 0.29129599 1.250370e-01 0.1114318557 0.5739540
## 3065  3065 response 0.61955801 1.512444e-01 0.3164857933 0.8513608
## 3066  3066 response 0.22923410 1.637834e-01 0.0461117119 0.6466161
## 3067  3067 response 0.79899493 1.352993e-01 0.4326251915 0.9539638
## 3068  3068 response 0.94029597 5.026167e-02 0.7314592860 0.9891379
## 3069  3069 response 0.74201760 2.055733e-01 0.2595485038 0.9593509
## 3070  3070 response 0.13495649 1.268412e-01 0.0182115044 0.5675023
## 3071  3071 response 0.38200263 2.553629e-01 0.0690651122 0.8374024
## 3072  3072 response 0.10143596 1.177409e-01 0.0088961644 0.5867288
## 3073  3073 response 0.32667416 2.409309e-01 0.0536510288 0.8058988
## 3074  3074 response 0.65779977 2.479006e-01 0.1816819041 0.9433210
## 3075  3075 response 0.25983833 2.480538e-01 0.0272590096 0.8147410
## 3076  3076 response 0.82431446 1.859603e-01 0.2747030837 0.9830868
## 3077  3077 response 0.94895371 6.332321e-02 0.5891599072 0.9958676
## 3078  3078 response 0.77247043 2.524887e-01 0.1689225276 0.9826713
## 3079  3079 response 0.34872672 1.613386e-01 0.1174340155 0.6830178
## 3080  3080 response 0.67964262 1.560724e-01 0.3423558628 0.8963279
## 3081  3081 response 0.27925025 1.902125e-01 0.0572985392 0.7117928
## 3082  3082 response 0.62478783 1.706230e-01 0.2856523794 0.8739600
## 3083  3083 response 0.86837780 8.571570e-02 0.6027290557 0.9663181
## 3084  3084 response 0.54645999 2.343097e-01 0.1588813126 0.8848651
## 3085  3085 response 0.94153279 5.478284e-02 0.6960479048 0.9912467
## 3086  3086 response 0.98456882 1.571563e-02 0.8936364043 0.9979404
## 3087  3087 response 0.92096274 8.316920e-02 0.5538094331 0.9909413
## 3088  3088 response 0.16110395 9.260727e-02 0.0477410355 0.4238403
## 3089  3089 response 0.43210540 1.717665e-01 0.1617604271 0.7500080
## 3090  3090 response 0.12200490 1.060585e-01 0.0195674428 0.4917425
## 3091  3091 response 0.37391077 1.540171e-01 0.1412495005 0.6843854
## 3092  3092 response 0.70293114 1.441832e-01 0.3794221641 0.9015522
## 3093  3093 response 0.30174152 2.019960e-01 0.0619152429 0.7388571
## 3094  3094 response 0.85241218 1.103876e-01 0.5084706424 0.9699216
## 3095  3095 response 0.95813014 3.721926e-02 0.7878502610 0.9929582
## 3096  3096 response 0.80691751 1.711904e-01 0.3266340331 0.9729766
## 3097  3097 response 0.18479311 1.574891e-01 0.0283816609 0.6375647
## 3098  3098 response 0.47316721 2.592435e-01 0.1047303357 0.8733454
## 3099  3099 response 0.14091053 1.519222e-01 0.0138233128 0.6574572
## 3100  3100 response 0.41346880 2.554268e-01 0.0821127688 0.8474441
## 3101  3101 response 0.73635850 2.055826e-01 0.2595297196 0.9570027
## 3102  3102 response 0.33778366 2.800048e-01 0.0420222837 0.8557279
## 3103  3103 response 0.87208029 1.390026e-01 0.3722215588 0.9874034
## 3104  3104 response 0.96429992 4.370307e-02 0.6917017364 0.9969343
## 3105  3105 response 0.83144960 1.962620e-01 0.2406874106 0.9871412
## 3106  3106 response 0.82108087 2.004072e-01 0.2404799399 0.9851884
## 3107  3107 response 0.94786909 6.747220e-02 0.5558144412 0.9962293
## 3108  3108 response 0.76855055 2.646880e-01 0.1523483240 0.9839614
## 3109  3109 response 0.93451759 8.366783e-02 0.4946246603 0.9952175
## 3110  3110 response 0.98262200 2.351505e-02 0.7918296217 0.9988117
## 3111  3111 response 0.91171088 1.193405e-01 0.3609755315 0.9947305
## 3112  3112 response 0.99280660 1.082276e-02 0.8762256058 0.9996285
## 3113  3113 response 0.99817462 2.805297e-03 0.9639626919 0.9999106
## 3114  3114 response 0.99008585 1.575556e-02 0.8112061562 0.9995694
## 3115  3115 response 0.62205774 3.500990e-01 0.0816329586 0.9682300
## 3116  3116 response 0.86704293 1.722374e-01 0.2585936365 0.9918650
## 3117  3117 response 0.54357632 4.071408e-01 0.0455812233 0.9674254
## 3118  3118 response 0.83656006 2.011393e-01 0.2226228056 0.9891872
## 3119  3119 response 0.95300699 6.646206e-02 0.5252200362 0.9973174
## 3120  3120 response 0.78739765 2.707121e-01 0.1346784878 0.9887806
## 3121  3121 response 0.98019807 3.049114e-02 0.6948815242 0.9990714
## 3122  3122 response 0.99492705 8.064423e-03 0.8953998280 0.9997775
## 3123  3123 response 0.97283889 4.476283e-02 0.5641773319 0.9989920
## 3124  3124 response 0.66018605 3.125791e-01 0.1123714827 0.9675476
## 3125  3125 response 0.88502428 1.411548e-01 0.3367215413 0.9915048
## 3126  3126 response 0.58433153 3.753468e-01 0.0636705198 0.9667346
## 3127  3127 response 0.85798875 1.697549e-01 0.2825260834 0.9893273
## 3128  3128 response 0.95990010 5.371583e-02 0.6083319736 0.9972968
## 3129  3129 response 0.81383766 2.329123e-01 0.1768349396 0.9888844
## 3130  3130 response 0.98317311 2.536578e-02 0.7432027597 0.9991530
## 3131  3131 response 0.99569892 6.640380e-03 0.9172493237 0.9997932
## 3132  3132 response 0.97689351 3.725672e-02 0.6246387299 0.9990699
## 3133  3133 response 0.10858069 9.317103e-02 0.0181283369 0.4455522
## 3134  3134 response 0.32551286 2.144447e-01 0.0664278858 0.7659891
## 3135  3135 response 0.08099797 8.915224e-02 0.0083568775 0.4796488
## 3136  3136 response 0.27472904 1.964418e-01 0.0520019488 0.7234323
## 3137  3137 response 0.60013092 2.427001e-01 0.1713314904 0.9159262
## 3138  3138 response 0.21512539 2.036941e-01 0.0251168972 0.7446294
## 3139  3139 response 0.78555926 2.044629e-01 0.2534040566 0.9753318
## 3140  3140 response 0.93554326 7.558228e-02 0.5544148477 0.9941284
## 3141  3141 response 0.72607910 2.747004e-01 0.1503008838 0.9754427
## 3142  3142 response 0.04185782 3.253597e-02 0.0088298567 0.1764353
## 3143  3143 response 0.14755008 1.049912e-01 0.0326100258 0.4705562
## 3144  3144 response 0.03064206 3.371305e-02 0.0034059497 0.2262338
## 3145  3145 response 0.11960708 8.435508e-02 0.0274848392 0.3950672
## 3146  3146 response 0.34992121 1.908421e-01 0.0941738969 0.7359324
## 3147  3147 response 0.08950458 9.101661e-02 0.0108928182 0.4673716
## 3148  3148 response 0.56782098 2.477663e-01 0.1536969815 0.9048080
## 3149  3149 response 0.83885550 1.435952e-01 0.3935807265 0.9766096
## 3150  3150 response 0.48735855 3.136563e-01 0.0750788258 0.9175879
## 3151  3151 response 0.04903767 6.026357e-02 0.0040793196 0.3936408
## 3152  3152 response 0.16964928 1.824139e-01 0.0158888659 0.7210931
## 3153  3153 response 0.03597030 5.226168e-02 0.0019415281 0.4171412
## 3154  3154 response 0.13819964 1.555947e-01 0.0122385484 0.6748496
## 3155  3155 response 0.38851619 3.131075e-01 0.0457955588 0.8937455
## 3156  3156 response 0.10397040 1.407822e-01 0.0059658394 0.6916805
## 3157  3157 response 0.60797263 3.527578e-01 0.0785621466 0.9657640
## 3158  3158 response 0.86003358 1.812753e-01 0.2430624189 0.9915667
## 3159  3159 response 0.52878198 4.108366e-01 0.0424377508 0.9660020
## 3160  3160 response 0.15037039 1.185309e-01 0.0279200705 0.5216600
## 3161  3161 response 0.41218784 2.282106e-01 0.0996601355 0.8162508
## 3162  3162 response 0.11352379 1.174668e-01 0.0128307651 0.5578675
## 3163  3163 response 0.35499882 2.176138e-01 0.0787208292 0.7799852
## 3164  3164 response 0.68560101 2.104381e-01 0.2434550833 0.9366180
## 3165  3165 response 0.28481924 2.393312e-01 0.0382904368 0.7993363
## 3166  3166 response 0.84184027 1.574617e-01 0.3439072905 0.9818345
## 3167  3167 response 0.95472877 5.285519e-02 0.6574490476 0.9957031
## 3168  3168 response 0.79387479 2.211803e-01 0.2140408725 0.9819717
## 3169  3169 response 0.05968719 4.560980e-02 0.0127440607 0.2378821
## 3170  3170 response 0.20095689 1.341581e-01 0.0466252986 0.5639517
## 3171  3171 response 0.04391302 4.758093e-02 0.0049576602 0.2974596
## 3172  3172 response 0.16485571 1.102370e-01 0.0394736266 0.4866984
## 3173  3173 response 0.43886659 2.063645e-01 0.1314517043 0.8016529
## 3174  3174 response 0.12498178 1.218086e-01 0.0158420248 0.5589660
## 3175  3175 response 0.65624131 2.270418e-01 0.2098216945 0.9320857
## 3176  3176 response 0.88322792 1.091976e-01 0.4870553603 0.9836736
## 3177  3177 response 0.58006635 3.045848e-01 0.1064337261 0.9412429
## 3178  3178 response 0.06970282 7.983618e-02 0.0066638904 0.4555772
## 3179  3179 response 0.22890711 2.177335e-01 0.0257754349 0.7690997
## 3180  3180 response 0.05142648 7.087812e-02 0.0031332057 0.4832433
## 3181  3181 response 0.18897227 1.907868e-01 0.0199075299 0.7277318
## 3182  3182 response 0.48002781 3.136367e-01 0.0729165690 0.9155113
## 3183  3183 response 0.14427290 1.797762e-01 0.0096196084 0.7453181
## 3184  3184 response 0.69262507 3.031536e-01 0.1214810988 0.9734888
## 3185  3185 response 0.89927467 1.313838e-01 0.3421585139 0.9935170
## 3186  3186 response 0.61984200 3.762490e-01 0.0665678553 0.9738753
## 3187  3187 response 0.20455308 1.512921e-01 0.0399064999 0.6140428
## 3188  3188 response 0.50467338 2.358275e-01 0.1382000381 0.8661930
## 3189  3189 response 0.15688114 1.542585e-01 0.0185708587 0.6466114
## 3190  3190 response 0.44435264 2.347704e-01 0.1103505279 0.8375533
## 3191  3191 response 0.76010501 1.780115e-01 0.3186191615 0.9554953
## 3192  3192 response 0.36654719 2.722908e-01 0.0549134683 0.8521295
## 3193  3193 response 0.88550299 1.196934e-01 0.4333401315 0.9873760
## 3194  3194 response 0.96839663 3.735203e-02 0.7369737422 0.9970248
## 3195  3195 response 0.84839454 1.733240e-01 0.2851430765 0.9874229
## 3196  3196 response 0.08444169 6.616012e-02 0.0169442560 0.3304371
## 3197  3197 response 0.26762575 1.718786e-01 0.0614889453 0.6708502
## 3198  3198 response 0.06256064 6.814491e-02 0.0067973345 0.3942154
## 3199  3199 response 0.22288861 1.459607e-01 0.0521267511 0.5993409
## 3200  3200 response 0.53192131 2.185157e-01 0.1690628610 0.8638923
## 3201  3201 response 0.17186678 1.624959e-01 0.0216653690 0.6604338
## 3202  3202 response 0.73501369 2.020465e-01 0.2663948741 0.9549297
## 3203  3203 response 0.91659685 8.315570e-02 0.5658700473 0.9893231
## 3204  3204 response 0.66744863 2.825599e-01 0.1420461756 0.9605220
## 3205  3205 response 0.09817748 1.059258e-01 0.0103281335 0.5317622
## 3206  3206 response 0.30135154 2.523089e-01 0.0395557901 0.8187562
## 3207  3207 response 0.07302100 9.621444e-02 0.0048345708 0.5608836
## 3208  3208 response 0.25292367 2.284854e-01 0.0306765467 0.7836289
## 3209  3209 response 0.57289952 2.987277e-01 0.1091788358 0.9362276
## 3210  3210 response 0.19676732 2.250123e-01 0.0148180444 0.7995903
## 3211  3211 response 0.76603259 2.492735e-01 0.1765454201 0.9803920
## 3212  3212 response 0.92842964 9.419819e-02 0.4462895258 0.9952332
## 3213  3213 response 0.70318271 3.267032e-01 0.0992647412 0.9807427
## 3214  3214 response 0.68788541 3.212078e-01 0.1050794468 0.9763976
## 3215  3215 response 0.89724879 1.385362e-01 0.3147174869 0.9940132
## 3216  3216 response 0.61460452 3.891029e-01 0.0599201204 0.9755500
## 3217  3217 response 0.87267420 1.670822e-01 0.2645624067 0.9924003
## 3218  3218 response 0.96448310 5.199997e-02 0.5808702155 0.9981242
## 3219  3219 response 0.83219584 2.293303e-01 0.1655589244 0.9919976
## 3220  3220 response 0.98513744 2.413551e-02 0.7237431586 0.9994041
## 3221  3221 response 0.99620665 6.331792e-03 0.9077702369 0.9998573
## 3222  3222 response 0.97957567 3.524979e-02 0.6028166608 0.9993406
## 3223  3223 response 0.44148330 3.896904e-01 0.0344666715 0.9459561
## 3224  3224 response 0.75797811 2.917146e-01 0.1218449900 0.9860514
## 3225  3225 response 0.36385127 4.062290e-01 0.0180124960 0.9469061
## 3226  3226 response 0.71082967 3.223129e-01 0.1021194566 0.9815257
## 3227  3227 response 0.90688561 1.338705e-01 0.3034392288 0.9954286
## 3228  3228 response 0.64011747 4.001232e-01 0.0558099241 0.9816593
## 3229  3229 response 0.95963304 6.471996e-02 0.4735155544 0.9984111
## 3230  3230 response 0.98949465 1.767990e-02 0.7706142308 0.9996215
## 3231  3231 response 0.94505947 9.432790e-02 0.3283382032 0.9983506
## 3232  3232 response 0.48267883 3.784502e-01 0.0456567335 0.9479081
## 3233  3233 response 0.78708752 2.539420e-01 0.1594191707 0.9863123
## 3234  3234 response 0.40303013 4.062384e-01 0.0240757947 0.9486545
## 3235  3235 response 0.74369233 2.897878e-01 0.1284810401 0.9827908
## 3236  3236 response 0.91997589 1.124704e-01 0.3653455597 0.9956632
## 3237  3237 response 0.67736879 3.683302e-01 0.0716484626 0.9827925
## 3238  3238 response 0.96558931 5.510046e-02 0.5210165353 0.9986205
## 3239  3239 response 0.99108568 1.483523e-02 0.8053427826 0.9996654
## 3240  3240 response 0.95306093 8.040590e-02 0.3747450037 0.9985483
## 3241  3241 response 0.76583000 1.742577e-01 0.3274882945 0.9564531
## 3242  3242 response 0.92835452 6.276007e-02 0.6709074713 0.9880035
## 3243  3243 response 0.70294680 2.159032e-01 0.2377331626 0.9472444
## 3244  3244 response 0.91047709 7.930979e-02 0.6016589079 0.9856077
## 3245  3245 response 0.97578440 2.262014e-02 0.8605635700 0.9962135
## 3246  3246 response 0.88036922 1.077762e-01 0.4975608650 0.9820424
## 3247  3247 response 0.98993521 1.162956e-02 0.9089507794 0.9989691
## 3248  3248 response 0.99744047 2.997972e-03 0.9750052705 0.9997432
## 3249  3249 response 0.98614359 1.624809e-02 0.8737464681 0.9986355
## 3250  3250 response 0.53979482 2.553240e-01 0.1352931018 0.8978885
## 3251  3251 response 0.82292437 1.467213e-01 0.3924210351 0.9709631
## 3252  3252 response 0.45908514 2.835179e-01 0.0830393640 0.8883203
## 3253  3253 response 0.78483662 1.686313e-01 0.3400350962 0.9627196
## 3254  3254 response 0.93528442 5.986033e-02 0.6753509799 0.9901385
## 3255  3255 response 0.72522613 2.200929e-01 0.2325081188 0.9583245
## 3256  3256 response 0.97243350 3.043770e-02 0.7921193525 0.9969472
## 3257  3257 response 0.99289602 8.094915e-03 0.9364715622 0.9992460
## 3258  3258 response 0.96229969 4.388144e-02 0.7045320953 0.9963535
## 3259  3259 response 0.58062719 3.262967e-01 0.0910347957 0.9503467
## 3260  3260 response 0.84581132 1.710996e-01 0.2954021396 0.9862589
## 3261  3261 response 0.50045143 3.547989e-01 0.0584272749 0.9417711
## 3262  3262 response 0.81151888 2.046176e-01 0.2382964519 0.9834041
## 3263  3263 response 0.94462608 6.897146e-02 0.5627485126 0.9955969
## 3264  3264 response 0.75701199 2.590664e-01 0.1646497954 0.9800967
## 3265  3265 response 0.97654718 3.387628e-02 0.6963514825 0.9986790
## 3266  3266 response 0.99397505 8.849897e-03 0.9010913943 0.9996654
## 3267  3267 response 0.96787566 4.749000e-02 0.6015364058 0.9983397
## 3268  3268 response 0.82614306 1.338556e-01 0.4333884372 0.9672359
## 3269  3269 response 0.94956439 4.320096e-02 0.7626594854 0.9910161
## 3270  3270 response 0.77469115 1.734292e-01 0.3290587814 0.9601677
## 3271  3271 response 0.93661805 5.531446e-02 0.7040904644 0.9892212
## 3272  3272 response 0.98320716 1.510409e-02 0.9069453298 0.9971649
## 3273  3273 response 0.91447595 7.672874e-02 0.6098549747 0.9865124
## 3274  3274 response 0.99305124 7.800931e-03 0.9397151258 0.9992373
## 3275  3275 response 0.99823703 2.001617e-03 0.9838536717 0.9998100
## 3276  3276 response 0.99042213 1.091270e-02 0.9155962488 0.9989866
## 3277  3277 response 0.63021494 2.386666e-01 0.1863184441 0.9269252
## 3278  3278 response 0.87100900 1.126471e-01 0.4862042703 0.9796680
## 3279  3279 response 0.55220805 2.808305e-01 0.1174976455 0.9194972
## 3280  3280 response 0.84126897 1.326472e-01 0.4306437364 0.9737791
## 3281  3281 response 0.95454322 4.266040e-02 0.7535217808 0.9931147
## 3282  3282 response 0.79317279 1.799523e-01 0.3087859379 0.9705199
## 3283  3283 response 0.98086326 2.117818e-02 0.8488306137 0.9978672
## 3284  3284 response 0.99509993 5.559194e-03 0.9560198206 0.9994732
## 3285  3285 response 0.97374467 3.068568e-02 0.7791681771 0.9974414
## 3286  3286 response 0.66795957 2.833082e-01 0.1412876672 0.9609312
## 3287  3287 response 0.88852294 1.235654e-01 0.4087040398 0.9892369
## 3288  3288 response 0.59276993 3.277961e-01 0.0922833680 0.9542146
## 3289  3289 response 0.86218197 1.513637e-01 0.3400304777 0.9870064
## 3290  3290 response 0.96122016 4.671768e-02 0.6800268083 0.9965527
## 3291  3291 response 0.81905962 1.994126e-01 0.2446689011 0.9844378
## 3292  3292 response 0.98374002 2.270651e-02 0.7892469981 0.9989779
## 3293  3293 response 0.99584560 5.865580e-03 0.9370627889 0.9997410
## 3294  3294 response 0.97766718 3.204510e-02 0.7114714177 0.9987150
## 3295  3295 response 0.87348804 1.026290e-01 0.5279489887 0.9770765
## 3296  3296 response 0.96473383 3.055783e-02 0.8247048823 0.9937525
## 3297  3297 response 0.83321896 1.372246e-01 0.4190190547 0.9719150
## 3298  3298 response 0.95549886 3.941580e-02 0.7772785423 0.9924869
## 3299  3299 response 0.98838172 1.044256e-02 0.9346953317 0.9980262
## 3300  3300 response 0.93952679 5.530262e-02 0.6975008469 0.9905376
## 3301  3301 response 0.99520722 5.361062e-03 0.9582305591 0.9994682
## 3302  3302 response 0.99878599 1.370699e-03 0.9889802980 0.9998674
## 3303  3303 response 0.99338842 7.495761e-03 0.9413339226 0.9992897
## 3304  3304 response 0.71233698 2.159807e-01 0.2388374809 0.9513202
## 3305  3305 response 0.90750396 8.668150e-02 0.5645300779 0.9867117
## 3306  3306 response 0.64180764 2.666917e-01 0.1557102698 0.9456761
## 3307  3307 response 0.88506788 1.040330e-01 0.5092102901 0.9828051
## 3308  3308 response 0.96826524 3.110703e-02 0.8075131587 0.9955138
## 3309  3309 response 0.84784263 1.445973e-01 0.3824722337 0.9804422
## 3310  3310 response 0.98675034 1.505722e-02 0.8862693749 0.9985969
## 3311  3311 response 0.99662243 3.914348e-03 0.9679557056 0.9996532
## 3312  3312 response 0.98178098 2.181823e-02 0.8314845816 0.9983037
## 3313  3313 response 0.74508977 2.354946e-01 0.2046375951 0.9707657
## 3314  3314 response 0.92051493 8.843676e-02 0.5200809354 0.9919847
## 3315  3315 response 0.67897175 2.878094e-01 0.1371799061 0.9656770
## 3316  3316 response 0.90089015 1.102770e-01 0.4468108307 0.9903191
## 3317  3317 response 0.97298365 3.189779e-02 0.7695144078 0.9974326
## 3318  3318 response 0.86802542 1.496772e-01 0.3368820922 0.9883927
## 3319  3319 response 0.98875227 1.537809e-02 0.8539718047 0.9992438
## 3320  3320 response 0.99713708 3.941241e-03 0.9587947281 0.9998082
## 3321  3321 response 0.98452196 2.179066e-02 0.7941345137 0.9990475
## 3322  3322 response 0.98338159 2.412759e-02 0.7661694142 0.9990651
## 3323  3323 response 0.99575287 6.155118e-03 0.9311619698 0.9997540
## 3324  3324 response 0.97717798 3.350394e-02 0.6926231207 0.9987724
## 3325  3325 response 0.99459519 7.900119e-03 0.9117048441 0.9996952
## 3326  3326 response 0.99863033 1.992376e-03 0.9767257350 0.9999211
## 3327  3327 response 0.99254587 1.100531e-02 0.8782619795 0.9995933
## 3328  3328 response 0.99943841 8.928336e-04 0.9874626638 0.9999751
## 3329  3329 response 0.99985820 2.259317e-04 0.9967881643 0.9999938
## 3330  3330 response 0.99922404 1.234335e-03 0.9827148733 0.9999657
## 3331  3331 response 0.95500176 7.216246e-02 0.4412349136 0.9982499
## 3332  3332 response 0.98824742 1.932888e-02 0.7631577115 0.9995445
## 3333  3333 response 0.93886269 9.973929e-02 0.3375682847 0.9978438
## 3334  3334 response 0.98507457 2.432886e-02 0.7204004557 0.9994089
## 3335  3335 response 0.99619043 6.249010e-03 0.9120647962 0.9998483
## 3336  3336 response 0.97948977 3.428902e-02 0.6273409054 0.9992624
## 3337  3337 response 0.99843573 2.698433e-03 0.9557416788 0.9999470
## 3338  3338 response 0.99960473 6.849628e-04 0.9883160765 0.9999868
## 3339  3339 response 0.99783945 3.802722e-03 0.9357207854 0.9999318
## 3340  3340 response 0.96161405 5.654540e-02 0.5544076244 0.9980213
## 3341  3341 response 0.99002544 1.486052e-02 0.8386527014 0.9994727
## 3342  3342 response 0.94771671 7.861857e-02 0.4470946786 0.9975450
## 3343  3343 response 0.98732644 1.905103e-02 0.7976101911 0.9993511
## 3344  3344 response 0.99677069 4.838420e-03 0.9419230601 0.9998298
## 3345  3345 response 0.98256934 2.688645e-02 0.7221403871 0.9991828
## 3346  3346 response 0.99867446 2.163580e-03 0.9683626084 0.9999461
## 3347  3347 response 0.99966511 5.459601e-04 0.9918780728 0.9999863
## 3348  3348 response 0.99816900 3.041084e-03 0.9543403228 0.9999297
## 3349  3349 response 0.48045331 1.458828e-01 0.2272899795 0.7440686
## 3350  3350 response 0.78558985 9.463596e-02 0.5491784846 0.9168072
## 3351  3351 response 0.40088727 1.937558e-01 0.1210083865 0.7648357
## 3352  3352 response 0.74198946 1.163025e-01 0.4664594513 0.9043943
## 3353  3353 response 0.91931716 4.491351e-02 0.7766591663 0.9739136
## 3354  3354 response 0.67541760 1.772720e-01 0.2989990972 0.9103285
## 3355  3355 response 0.96529189 3.060652e-02 0.8227315996 0.9940355
## 3356  3356 response 0.99100658 8.356321e-03 0.9460675910 0.9985574
## 3357  3357 response 0.95266053 4.665943e-02 0.7259380399 0.9935018
## 3358  3358 response 0.24906170 1.001055e-01 0.1040819833 0.4863595
## 3359  3359 response 0.56786553 1.279431e-01 0.3210973211 0.7849972
## 3360  3360 response 0.19354068 1.322543e-01 0.0436086344 0.5581311
## 3361  3361 response 0.50773399 1.255229e-01 0.2782059018 0.7340474
## 3362  3362 response 0.80340436 8.069848e-02 0.6002037638 0.9175189
## 3363  3363 response 0.42736638 1.987032e-01 0.1319311150 0.7856300
## 3364  3364 response 0.90888209 6.383399e-02 0.6876862131 0.9783486
## 3365  3365 response 0.97532143 1.940405e-02 0.8905893402 0.9948155
## 3366  3366 response 0.87830950 1.042994e-01 0.5159723990 0.9799471
## 3367  3367 response 0.28134678 2.173864e-01 0.0454314246 0.7630499
## 3368  3368 response 0.60801590 2.510401e-01 0.1644495596 0.9243831
## 3369  3369 response 0.22074437 2.147628e-01 0.0239311083 0.7659687
## 3370  3370 response 0.54903447 2.683630e-01 0.1270178322 0.9106118
## 3371  3371 response 0.82828782 1.526398e-01 0.3705367877 0.9753254
## 3372  3372 response 0.46834924 3.103134e-01 0.0711357593 0.9101794
## 3373  3373 response 0.92171592 9.192095e-02 0.4922618614 0.9930548
## 3374  3374 response 0.97901345 2.636658e-02 0.7904211440 0.9982699
## 3375  3375 response 0.89495174 1.313602e-01 0.3552094583 0.9924671
## 3376  3376 response 0.57331657 1.273658e-01 0.3262763814 0.7884932
## 3377  3377 response 0.84186444 6.578954e-02 0.6689835412 0.9334380
## 3378  3378 response 0.49296367 1.894011e-01 0.1804475256 0.8110771
## 3379  3379 response 0.80689461 8.472923e-02 0.5900496493 0.9238429
## 3380  3380 response 0.94303829 2.904188e-02 0.8515844382 0.9794951
## 3381  3381 response 0.75145998 1.415432e-01 0.4063785078 0.9303310
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## 3384  3384 response 0.96693118 3.173607e-02 0.8069378619 0.9951351
## 3385  3385 response 0.32519462 1.169711e-01 0.1449548175 0.5780397
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## 3388  3388 response 0.59978294 1.192892e-01 0.3613660359 0.7987599
## 3389  3389 response 0.85586120 6.227060e-02 0.6882581256 0.9410704
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## 3431  3431 response 0.98514009 1.842358e-02 0.8490878164 0.9987215
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## 3434  3434 response 0.99517294 6.099706e-03 0.9447974504 0.9995975
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## 3437  3437 response 0.99949870 7.225727e-04 0.9916018163 0.9999703
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## 3865  3865 response 0.99569467 6.348469e-03 0.9269668627 0.9997628
## 3866  3866 response 0.99890986 1.595607e-03 0.9810809417 0.9999382
## 3867  3867 response 0.99405974 8.854361e-03 0.8985418804 0.9996838
## 3868  3868 response 0.99955309 7.162688e-04 0.9897485688 0.9999807
## 3869  3869 response 0.99988717 1.809291e-04 0.9973913901 0.9999951
## 3870  3870 response 0.99938247 9.907759e-04 0.9858336511 0.9999734
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## 3872  3872 response 0.99062603 1.554192e-02 0.7990000584 0.9996442
## 3873  3873 response 0.95073806 8.194880e-02 0.3847785324 0.9983237
## 3874  3874 response 0.98808759 1.963065e-02 0.7594003227 0.9995415
## 3875  3875 response 0.99696638 5.012302e-03 0.9273549553 0.9998818
## 3876  3876 response 0.98361145 2.772917e-02 0.6733038582 0.9994282
## 3877  3877 response 0.99875492 2.166653e-03 0.9634688624 0.9999590
## 3878  3878 response 0.99968546 5.489497e-04 0.9904573040 0.9999897
## 3879  3879 response 0.99828010 3.054201e-03 0.9467106933 0.9999473
## 3880  3880 response 0.96921508 4.610125e-02 0.6037550061 0.9984652
## 3881  3881 response 0.99204709 1.195768e-02 0.8647933301 0.9995891
## 3882  3882 response 0.95794929 6.445910e-02 0.4974066272 0.9980966
## 3883  3883 response 0.98988954 1.538250e-02 0.8280100972 0.9994980
## 3884  3884 response 0.99742876 3.885695e-03 0.9521763132 0.9998677
## 3885  3885 response 0.98608095 2.174985e-02 0.7603533582 0.9993682
## 3886  3886 response 0.99894499 1.739026e-03 0.9738915363 0.9999584
## 3887  3887 response 0.99973351 4.380077e-04 0.9933574714 0.9999894
## 3888  3888 response 0.99854254 2.445079e-03 0.9621924584 0.9999458
## 3889  3889 response 0.53750770 1.452006e-01 0.2700279877 0.7850103
## 3890  3890 response 0.82157925 8.123596e-02 0.6084745196 0.9317103
## 3891  3891 response 0.45680055 2.004872e-01 0.1471863449 0.8038262
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## 3893  3893 response 0.93472511 3.669690e-02 0.8149989220 0.9789682
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## 3895  3895 response 0.97218571 2.485754e-02 0.8522388896 0.9953011
## 3896  3896 response 0.99283081 6.682492e-03 0.9565061872 0.9988546
## 3897  3897 response 0.96196437 3.808330e-02 0.7668198709 0.9948851
## 3898  3898 response 0.29419774 1.129914e-01 0.1254712586 0.5477150
## 3899  3899 response 0.62285586 1.228054e-01 0.3721624890 0.8214682
## 3900  3900 response 0.23171975 1.521079e-01 0.0534919048 0.6168023
## 3901  3901 response 0.56450803 1.266665e-01 0.3207388775 0.7806289
## 3902  3902 response 0.83702388 7.037553e-02 0.6513813672 0.9338494
## 3903  3903 response 0.48398932 2.051761e-01 0.1578561531 0.8243552
## 3904  3904 response 0.92612268 5.364073e-02 0.7294813508 0.9831301
## 3905  3905 response 0.98026388 1.574426e-02 0.9097308595 0.9959314
## 3906  3906 response 0.90070279 8.832153e-02 0.5669811081 0.9843355
## 3907  3907 response 0.32976434 2.387105e-01 0.0559303328 0.8033857
## 3908  3908 response 0.66094753 2.362969e-01 0.1979502053 0.9390145
## 3909  3909 response 0.26254279 2.427301e-01 0.0295992097 0.8060231
## 3910  3910 response 0.60475322 2.606325e-01 0.1529283514 0.9284046
## 3911  3911 response 0.85840205 1.307864e-01 0.4238830518 0.9803728
## 3912  3912 response 0.52541988 3.124115e-01 0.0867609377 0.9280675
## 3913  3913 response 0.93669733 7.603505e-02 0.5451651427 0.9945556
## 3914  3914 response 0.98322921 2.124592e-02 0.8243194266 0.9986367
## 3915  3915 response 0.91458040 1.098226e-01 0.4050766521 0.9940956
## 3916  3916 response 0.62806756 1.216333e-01 0.3783389043 0.8241144
## 3917  3917 response 0.86997143 5.496500e-02 0.7207871505 0.9454758
## 3918  3918 response 0.54993118 1.879507e-01 0.2161988733 0.8440586
## 3919  3919 response 0.84003611 7.352246e-02 0.6424739434 0.9388241
## 3920  3920 response 0.95414220 2.347357e-02 0.8790843578 0.9834836
## 3921  3921 response 0.79165889 1.256583e-01 0.4605137785 0.9441799
## 3922  3922 response 0.98068973 1.657740e-02 0.9013136372 0.9964714
## 3923  3923 response 0.99505485 4.405828e-03 0.9720639599 0.9991413
## 3924  3924 response 0.97350834 2.576988e-02 0.8382995632 0.9961756
## 3925  3925 response 0.37719747 1.274169e-01 0.1729995788 0.6368214
## 3926  3926 response 0.70584940 1.079642e-01 0.4640973068 0.8692653
## 3927  3927 response 0.30470258 1.800128e-01 0.0765374171 0.6985375
## 3928  3928 response 0.65319218 1.156522e-01 0.4091389033 0.8366796
## 3929  3929 response 0.88182961 5.316850e-02 0.7329908404 0.9530190
## 3930  3930 response 0.57677730 1.989071e-01 0.2162758271 0.8706387
## 3931  3931 response 0.94795622 3.834235e-02 0.7988268399 0.9881729
## 3932  3932 response 0.98633278 1.087361e-02 0.9369110884 0.9971567
## 3933  3933 response 0.92947681 6.417241e-02 0.6592372107 0.9889855
## 3934  3934 response 0.41687169 2.440742e-01 0.0908309792 0.8364808
## 3935  3935 response 0.73907028 1.882092e-01 0.2949002636 0.9504515
## 3936  3936 response 0.34092572 2.665458e-01 0.0481453794 0.8410209
## 3937  3937 response 0.68974609 2.169370e-01 0.2336232385 0.9419052
## 3938  3938 response 0.89804633 9.135397e-02 0.5548115415 0.9841915
## 3939  3939 response 0.61665861 2.799308e-01 0.1363934170 0.9424784
## 3940  3940 response 0.95555564 5.161732e-02 0.6650531315 0.9957230
## 3941  3941 response 0.98839706 1.400835e-02 0.8860247746 0.9989299
## 3942  3942 response 0.93960267 7.619952e-02 0.5281702502 0.9953960
## 3943  3943 response 0.71044738 1.070374e-01 0.4694719722 0.8718460
## 3944  3944 response 0.90672851 4.097384e-02 0.7899717430 0.9617239
## 3945  3945 response 0.63968910 1.740335e-01 0.2878411470 0.8863433
## 3946  3946 response 0.88412835 5.574350e-02 0.7242508479 0.9568346
## 3947  3947 response 0.96798121 1.650346e-02 0.9141386319 0.9884851
## 3948  3948 response 0.84665153 9.810825e-02 0.5566376628 0.9604420
## 3949  3949 response 0.98662947 1.147901e-02 0.9305874803 0.9975439
## 3950  3950 response 0.99659131 3.022426e-03 0.9808140236 0.9994023
## 3951  3951 response 0.98161563 1.789423e-02 0.8843474766 0.9973250
## 3952  3952 response 0.46808387 1.497856e-01 0.2129992556 0.7410175
## 3953  3953 response 0.77711499 1.005707e-01 0.5276975333 0.9158276
## 3954  3954 response 0.38903242 2.103962e-01 0.1009864744 0.7830533
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## 3956  3956 response 0.91555992 4.401705e-02 0.7803268525 0.9706711
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## 3959  3959 response 0.99055347 7.877185e-03 0.9526947681 0.9981717
## 3960  3960 response 0.95037220 4.743040e-02 0.7273670027 0.9927775
## 3961  3961 response 0.50949725 2.396270e-01 0.1368945992 0.8718385
## 3962  3962 response 0.80451631 1.460827e-01 0.3999242188 0.9621416
## 3963  3963 response 0.42909382 2.806341e-01 0.0737246192 0.8765044
## 3964  3964 response 0.76360651 1.746443e-01 0.3265780297 0.9555878
## 3965  3965 response 0.92752819 6.387333e-02 0.6652840982 0.9880112
## 3966  3966 response 0.70035984 2.396895e-01 0.1994740726 0.9563787
## 3967  3967 response 0.96898197 3.530496e-02 0.7575731053 0.9968081
## 3968  3968 response 0.99198544 9.385422e-03 0.9244704158 0.9992017
## 3969  3969 response 0.95763461 5.288757e-02 0.6371778503 0.9965747
## 3970  3970 response 0.95460460 5.516165e-02 0.6343687162 0.9960918
## 3971  3971 response 0.98814005 1.472460e-02 0.8765414564 0.9989783
## 3972  3972 response 0.93833228 7.943313e-02 0.5079568194 0.9955609
## 3973  3973 response 0.98493865 1.893334e-02 0.8427637638 0.9987482
## 3974  3974 response 0.99615534 4.860684e-03 0.9556268464 0.9996793
## 3975  3975 response 0.97930406 2.770495e-02 0.7645373975 0.9985520
## 3976  3976 response 0.99842129 2.260443e-03 0.9743890500 0.9999049
## 3977  3977 response 0.99960108 5.758483e-04 0.9932804769 0.9999765
## 3978  3978 response 0.99781952 3.261660e-03 0.9603732771 0.9998843
## 3979  3979 response 0.88293168 1.499006e-01 0.3053588166 0.9923311
## 3980  3980 response 0.96761882 4.510940e-02 0.6400343011 0.9980127
## 3981  3981 response 0.84513561 2.065062e-01 0.1985301616 0.9917512
## 3982  3982 response 0.95910730 5.615530e-02 0.5863276886 0.9974301
## 3983  3983 response 0.98935352 1.505550e-02 0.8494576541 0.9993470
## 3984  3984 response 0.94435493 8.160924e-02 0.4471093886 0.9972001
## 3985  3985 response 0.99561064 6.705104e-03 0.9181119852 0.9997821
## 3986  3986 response 0.99888851 1.717879e-03 0.9774302242 0.9999464
## 3987  3987 response 0.99394400 9.830291e-03 0.8698657245 0.9997519
## 3988  3988 response 0.89901448 1.204798e-01 0.3977966555 0.9917340
## 3989  3989 response 0.97243061 3.494262e-02 0.7327309227 0.9978012
## 3990  3990 response 0.86562056 1.693147e-01 0.2708935067 0.9911254
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## 3995  3995 response 0.99905820 1.389065e-03 0.9832635662 0.9999478
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## 3997  3997 response 0.43356078 1.394718e-01 0.2009399708 0.6996758
## 3998  3998 response 0.75202337 1.017539e-01 0.5099964048 0.8983364
## 3999  3999 response 0.35643281 1.912553e-01 0.0975257729 0.7394789
## 4000  4000 response 0.70416763 1.253219e-01 0.4226550305 0.8855763
## 4001  4001 response 0.90413122 5.204946e-02 0.7440356071 0.9683525
## 4002  4002 response 0.63266820 1.958359e-01 0.2482582290 0.8998253
## 4003  4003 response 0.95836733 3.681008e-02 0.7905323298 0.9929283
## 4004  4004 response 0.98915468 1.015885e-02 0.9344461742 0.9982893
## 4005  4005 response 0.94336377 5.730581e-02 0.6705352637 0.9927177
## 4006  4006 response 0.21539042 7.965565e-02 0.0982742620 0.4088021
## 4007  4007 response 0.52099682 1.139813e-01 0.3076478378 0.7269519
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## 4009  4009 response 0.46053906 1.110444e-01 0.2622704231 0.6721347
## 4010  4010 response 0.77181672 8.064613e-02 0.5795922275 0.8924578
## 4011  4011 response 0.38184710 1.932356e-01 0.1104401356 0.7545118
## 4012  4012 response 0.89196290 7.246218e-02 0.6541079559 0.9730054
## 4013  4013 response 0.97033635 2.270621e-02 0.8745268077 0.9935285
## 4014  4014 response 0.85660906 1.220258e-01 0.4601535589 0.9766730
## 4015  4015 response 0.24473327 1.969719e-01 0.0385858334 0.7234652
## 4016  4016 response 0.56214416 2.569990e-01 0.1422679797 0.9085715
## 4017  4017 response 0.18993310 1.947253e-01 0.0192463523 0.7369372
## 4018  4018 response 0.50191479 2.699838e-01 0.1082245575 0.8932450
## 4019  4019 response 0.79970152 1.713522e-01 0.3291018915 0.9701455
## 4020  4020 response 0.42167925 3.092410e-01 0.0572555090 0.8974773
## 4021  4021 response 0.90693577 1.080277e-01 0.4423145331 0.9917179
## 4022  4022 response 0.97475486 3.173519e-02 0.7550829331 0.9979363
## 4023  4023 response 0.87579937 1.550168e-01 0.3015477679 0.9913920
## 4024  4024 response 0.52654615 1.256922e-01 0.2927822448 0.7492241
## 4025  4025 response 0.81503361 7.205037e-02 0.6332818141 0.9183239
## 4026  4026 response 0.44589806 1.946548e-01 0.1466146894 0.7903252
## 4027  4027 response 0.77571121 9.380458e-02 0.5458990908 0.9086762
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## 4029  4029 response 0.71449224 1.622644e-01 0.3448551122 0.9224663
## 4030  4030 response 0.97097007 2.479992e-02 0.8563788697 0.9946983
## 4031  4031 response 0.99251053 6.726009e-03 0.9574375624 0.9987207
## 4032  4032 response 0.96032024 3.936521e-02 0.7616335464 0.9945744
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## 4038  4038 response 0.47300297 2.026539e-01 0.1542673821 0.8153762
## 4039  4039 response 0.92305317 5.298516e-02 0.7354487412 0.9810478
## 4040  4040 response 0.97939382 1.579306e-02 0.9111352407 0.9954818
## 4041  4041 response 0.89669493 9.132149e-02 0.5569560594 0.9835888
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## 4045  4045 response 0.59418216 2.419402e-01 0.1700503483 0.9127619
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## 4050  4050 response 0.91107737 1.104737e-01 0.4144080682 0.9933038
## 4051  4051 response 0.61772589 1.193725e-01 0.3749863959 0.8131634
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## 4057  4057 response 0.97983806 1.729833e-02 0.8972835219 0.9963150
## 4058  4058 response 0.99483340 4.626948e-03 0.9705737003 0.9991112
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## 4060  4060 response 0.36691156 1.253947e-01 0.1674890980 0.6254039
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## 4064  4064 response 0.87716387 5.610608e-02 0.7201595107 0.9519574
## 4065  4065 response 0.56599498 2.086317e-01 0.1979567894 0.8732684
## 4066  4066 response 0.94574072 4.031569e-02 0.7889074792 0.9878480
## 4067  4067 response 0.98572637 1.153498e-02 0.9326495547 0.9971048
## 4068  4068 response 0.92653561 6.896243e-02 0.6338838321 0.9892324
## 4069  4069 response 0.40620953 2.277987e-01 0.0970274251 0.8132676
## 4070  4070 response 0.73049064 1.809287e-01 0.3091475552 0.9425857
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## 4075  4075 response 0.95364783 5.187199e-02 0.6734987445 0.9951504
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## 4077  4077 response 0.93705517 7.819575e-02 0.5254987339 0.9950277
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## 4079  4079 response 0.98210200 2.211277e-02 0.8233721898 0.9984542
## 4080  4080 response 0.90926492 1.149139e-01 0.3952588519 0.9935336
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## 4084  4084 response 0.99760487 3.442761e-03 0.9611306461 0.9998575
## 4085  4085 response 0.99939440 8.799855e-04 0.9896356538 0.9999649
## 4086  4086 response 0.99669292 5.028882e-03 0.9380855611 0.9998332
## 4087  4087 response 0.83241483 1.993708e-01 0.2317783432 0.9879191
## 4088  4088 response 0.95164442 6.542459e-02 0.5481140509 0.9968780
## 4089  4089 response 0.78232997 2.687036e-01 0.1402314187 0.9875310
## 4090  4090 response 0.93919782 8.071121e-02 0.4918094988 0.9959604
## 4091  4091 response 0.98392321 2.236992e-02 0.7928901264 0.9989790
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## 4094  4094 response 0.99831330 2.590865e-03 0.9666762201 0.9999172
## 4095  4095 response 0.99083340 1.490248e-02 0.8126185068 0.9996290
## 4096  4096 response 0.85429233 1.643612e-01 0.3059135729 0.9873409
## 4097  4097 response 0.95872874 5.144525e-02 0.6450030225 0.9966443
## 4098  4098 response 0.80924753 2.269800e-01 0.1920404325 0.9869658
## 4099  4099 response 0.94800599 6.523649e-02 0.5766915990 0.9959187
## 4100  4100 response 0.98634638 1.767286e-02 0.8465718859 0.9989438
## 4101  4101 response 0.92954293 9.593757e-02 0.4276675158 0.9957253
## 4102  4102 response 0.99436078 8.276328e-03 0.9071669841 0.9996858
## 4103  4103 response 0.99857068 2.114993e-03 0.9745380557 0.9999216
## 4104  4104 response 0.99222327 1.225811e-02 0.8500756721 0.9996518
## 4105  4105 response 0.37238398 1.397176e-01 0.1552902165 0.6569409
## 4106  4106 response 0.70156631 1.217627e-01 0.4292095501 0.8802302
## 4107  4107 response 0.30036804 1.840658e-01 0.0716071820 0.7049886
## 4108  4108 response 0.64852415 1.444860e-01 0.3475524396 0.8647051
## 4109  4109 response 0.87967212 6.745387e-02 0.6770643410 0.9622520
## 4110  4110 response 0.57175506 2.172349e-01 0.1900188665 0.8836973
## 4111  4111 response 0.94693339 4.770021e-02 0.7352043042 0.9913557
## 4112  4112 response 0.98605308 1.342058e-02 0.9125981319 0.9979155
## 4113  4113 response 0.92811833 7.421557e-02 0.5933450381 0.9913239
## 4114  4114 response 0.17546222 6.836483e-02 0.0777325964 0.3495000
## 4115  4115 response 0.45744606 1.151790e-01 0.2534674395 0.6767655
## 4116  4116 response 0.13343275 1.004933e-01 0.0272689761 0.4582161
## 4117  4117 response 0.39823183 1.087490e-01 0.2137848342 0.6169410
## 4118  4118 response 0.72390851 9.405918e-02 0.5103852557 0.8683352
## 4119  4119 response 0.32379607 1.849498e-01 0.0837870478 0.7148809
## 4120  4120 response 0.86486330 8.913509e-02 0.5894056745 0.9661395
## 4121  4121 response 0.96205943 2.929505e-02 0.8402416156 0.9918865
## 4122  4122 response 0.82240710 1.489694e-01 0.3854806350 0.9715801
## 4123  4123 response 0.20075740 1.730350e-01 0.0294487999 0.6752608
## 4124  4124 response 0.49880085 2.649523e-01 0.1108590252 0.8881918
## 4125  4125 response 0.15379903 1.679989e-01 0.0142710150 0.6952820
## 4126  4126 response 0.43856055 2.695796e-01 0.0837178606 0.8697624
## 4127  4127 response 0.75579546 2.006976e-01 0.2686515974 0.9630665
## 4128  4128 response 0.36111018 2.988197e-01 0.0427320842 0.8773999
## 4129  4129 response 0.88309968 1.338310e-01 0.3731479516 0.9896766
## 4130  4130 response 0.96766974 4.092546e-02 0.6974031796 0.9974339
## 4131  4131 response 0.84534835 1.899290e-01 0.2407028905 0.9895016
## 4132  4132 response 0.46297274 1.339163e-01 0.2307546710 0.7124460
## 4133  4133 response 0.77353667 9.101806e-02 0.5523179258 0.9043689
## 4134  4134 response 0.38416107 1.970555e-01 0.1086665212 0.7614395
## 4135  4135 response 0.72833286 1.139430e-01 0.4644367338 0.8923386
## 4136  4136 response 0.91395817 4.551142e-02 0.7735803074 0.9706098
## 4137  4137 response 0.65985267 1.892323e-01 0.2709483490 0.9101192
## 4138  4138 response 0.96286321 3.248006e-02 0.8138149705 0.9935398
## 4139  4139 response 0.99035930 8.932879e-03 0.9425856528 0.9984467
## 4140  4140 response 0.94939431 5.164245e-02 0.6953029661 0.9935582
## 4141  4141 response 0.23617298 8.540487e-02 0.1089330458 0.4388409
## 4142  4142 response 0.55057491 1.147942e-01 0.3304214517 0.7525515
## 4143  4143 response 0.18282562 1.293886e-01 0.0393637218 0.5498617
## 4144  4144 response 0.49019736 1.128357e-01 0.2841087022 0.6996728
## 4145  4145 response 0.79208759 7.696746e-02 0.6038522075 0.9049579
## 4146  4146 response 0.41029198 2.031998e-01 0.1182818890 0.7830084
## 4147  4147 response 0.90290320 6.640690e-02 0.6781509480 0.9762127
## 4148  4148 response 0.97357534 2.050495e-02 0.8853916427 0.9943411
## 4149  4149 response 0.87061012 1.141202e-01 0.4802072149 0.9800024
## 4150  4150 response 0.26738222 1.966087e-01 0.0485630762 0.7229656
## 4151  4151 response 0.59117520 2.376187e-01 0.1739129489 0.9085283
## 4152  4152 response 0.20891337 2.027203e-01 0.0233028426 0.7450959
## 4153  4153 response 0.53161186 2.539543e-01 0.1332713076 0.8933639
## 4154  4154 response 0.81807909 1.505209e-01 0.3825112719 0.9702775
## 4155  4155 response 0.45092684 3.045420e-01 0.0686435600 0.9014874
## 4156  4156 response 0.91650179 9.423199e-02 0.4955755775 0.9919114
## 4157  4157 response 0.97752257 2.731933e-02 0.7917606585 0.9979937
## 4158  4158 response 0.88817126 1.383450e-01 0.3412346249 0.9918551
## 4159  4159 response 0.55607355 1.335069e-01 0.3026385771 0.7833418
## 4160  4160 response 0.83229945 7.270855e-02 0.6413037155 0.9323271
## 4161  4161 response 0.47544447 2.071670e-01 0.1510502142 0.8219749
## 4162  4162 response 0.79572767 9.353048e-02 0.5577450728 0.9232673
## 4163  4163 response 0.93915058 3.299868e-02 0.8326905746 0.9795344
## 4164  4164 response 0.73812774 1.622025e-01 0.3524170622 0.9358932
## 4165  4165 response 0.97414171 2.279272e-02 0.8647671042 0.9955144
## 4166  4166 response 0.99334491 6.159140e-03 0.9600608464 0.9989222
## 4167  4167 response 0.96461300 3.649220e-02 0.7703091455 0.9955069
## 4168  4168 response 0.30999247 1.161047e-01 0.1342334437 0.5655520
## 4169  4169 response 0.64028842 1.229005e-01 0.3847962985 0.8351357
## 4170  4170 response 0.24532610 1.670796e-01 0.0525277564 0.6558966
## 4171  4171 response 0.58283122 1.266801e-01 0.3347515187 0.7950413
## 4172  4172 response 0.84698894 6.919097e-02 0.6603331719 0.9403398
## 4173  4173 response 0.50271594 2.189074e-01 0.1537626968 0.8490433
## 4174  4174 response 0.93108837 5.115131e-02 0.7390475710 0.9847233
## 4175  4175 response 0.98166251 1.501852e-02 0.9125432956 0.9963722
## 4176  4176 response 0.90720590 8.756466e-02 0.5600336284 0.9868575
## 4177  4177 response 0.34653105 2.173674e-01 0.0747650329 0.7767892
## 4178  4178 response 0.67753095 2.049179e-01 0.2505223428 0.9296107
## 4179  4179 response 0.27730576 2.381800e-01 0.0360114144 0.7976244
## 4180  4180 response 0.62251541 2.292000e-01 0.1960080984 0.9177310
## 4181  4181 response 0.86726723 1.111957e-01 0.4959429904 0.9774728
## 4182  4182 response 0.54405937 2.953821e-01 0.1036622321 0.9248796
## 4183  4183 response 0.94099753 6.619835e-02 0.6064657924 0.9939777
## 4184  4184 response 0.98442103 1.846913e-02 0.8564103610 0.9985085
## 4185  4185 response 0.92025511 9.952625e-02 0.4471229562 0.9939639
## 4186  4186 response 0.91478956 1.003705e-01 0.4625342528 0.9925885
## 4187  4187 response 0.97703028 2.866261e-02 0.7768000530 0.9980801
## 4188  4188 response 0.88595037 1.436153e-01 0.3239352184 0.9921222
## 4189  4189 response 0.97091825 3.659682e-02 0.7246832904 0.9976440
## 4190  4190 response 0.99249686 9.642295e-03 0.9127041490 0.9994028
## 4191  4191 response 0.96025018 5.421769e-02 0.5988285764 0.9974487
## 4192  4192 response 0.99691235 4.496683e-03 0.9485354478 0.9998232
## 4193  4193 response 0.99921890 1.151776e-03 0.9860975678 0.9999567
## 4194  4194 response 0.99573785 6.606096e-03 0.9170459155 0.9997975
## 4195  4195 response 0.79383093 2.344333e-01 0.1885743562 0.9845663
## 4196  4196 response 0.93848262 8.238296e-02 0.4820438495 0.9960171
## 4197  4197 response 0.73587370 3.095362e-01 0.1094146849 0.9844189
## 4198  4198 response 0.92292260 1.009013e-01 0.4262143932 0.9948458
## 4199  4199 response 0.97935672 2.873261e-02 0.7453576665 0.9987012
## 4200  4200 response 0.89652465 1.458530e-01 0.2844850245 0.9947314
## 4201  4201 response 0.99143830 1.299187e-02 0.8522106426 0.9995702
## 4202  4202 response 0.99782517 3.360089e-03 0.9566405182 0.9998952
## 4203  4203 response 0.98820617 1.934002e-02 0.7642143279 0.9995386
## 4204  4204 response 0.81965412 1.971624e-01 0.2497073669 0.9841434
## 4205  4205 response 0.94738860 6.558892e-02 0.5772909605 0.9958060
## 4206  4206 response 0.76682386 2.672972e-01 0.1493759495 0.9840219
## 4207  4207 response 0.93392262 8.261452e-02 0.5061762635 0.9948951
## 4208  4208 response 0.98245590 2.292016e-02 0.8051901676 0.9986837
## 4209  4209 response 0.91092844 1.209878e-01 0.3549032000 0.9947674
## 4210  4210 response 0.99273712 1.076469e-02 0.8798986941 0.9996080
## 4211  4211 response 0.99815690 2.760815e-03 0.9662086363 0.9999025
## 4212  4212 response 0.98999036 1.601357e-02 0.8064120426 0.9995743
## 4213  4213 response 0.22176007 1.395025e-01 0.0552149687 0.5814785
## 4214  4214 response 0.53029580 2.008859e-01 0.1885609471 0.8458025
## 4215  4215 response 0.17093974 1.533086e-01 0.0241452892 0.6321057
## 4216  4216 response 0.46981734 2.102222e-01 0.1449194814 0.8224831
## 4217  4217 response 0.77831832 1.477010e-01 0.3960566900 0.9494879
## 4218  4218 response 0.39068817 2.612790e-01 0.0694201781 0.8464194
## 4219  4219 response 0.89550466 1.042227e-01 0.4913225357 0.9870190
## 4220  4220 response 0.97139122 3.178289e-02 0.7830395034 0.9968793
## 4221  4221 response 0.86112938 1.551841e-01 0.3276773550 0.9874835
## 4222  4222 response 0.09272268 5.466012e-02 0.0278056468 0.2674981
## 4223  4223 response 0.28821599 1.345983e-01 0.1006514847 0.5943260
## 4224  4224 response 0.06885720 6.605099e-02 0.0097229423 0.3577233
## 4225  4225 response 0.24117035 1.185006e-01 0.0820068175 0.5306714
## 4226  4226 response 0.55737045 1.656912e-01 0.2524045923 0.8244543
## 4227  4227 response 0.18697048 1.545697e-01 0.0303908597 0.6278765
## 4228  4228 response 0.75451675 1.681273e-01 0.3415867367 0.9479417
## 4229  4229 response 0.92411514 6.662592e-02 0.6541856426 0.9874046
## 4230  4230 response 0.68982598 2.522326e-01 0.1807631641 0.9572951
## 4231  4231 response 0.10764713 1.151683e-01 0.0113753895 0.5584457
## 4232  4232 response 0.32339078 2.601808e-01 0.0444136086 0.8309415
## 4233  4233 response 0.08028020 1.056603e-01 0.0052549925 0.5905443
## 4234  4234 response 0.27280411 2.419638e-01 0.0332147286 0.8037816
## 4235  4235 response 0.59780530 2.932485e-01 0.1198167852 0.9419596
## 4236  4236 response 0.21349515 2.417967e-01 0.0158857032 0.8202958
## 4237  4237 response 0.78392379 2.394586e-01 0.1851146896 0.9830340
## 4238  4238 response 0.93495696 8.697170e-02 0.4656500259 0.9958002
## 4239  4239 response 0.72414929 3.180793e-01 0.1037930518 0.9834722
## 4240  4240 response 0.29280150 1.589358e-01 0.0842319875 0.6507995
## 4241  4241 response 0.62127281 1.799969e-01 0.2680772520 0.8801982
## 4242  4242 response 0.23052318 1.860271e-01 0.0369392029 0.7005932
## 4243  4243 response 0.56285196 1.976250e-01 0.2105718701 0.8614005
## 4244  4244 response 0.83610325 1.117203e-01 0.5079029627 0.9618531
## 4245  4245 response 0.48230786 2.655821e-01 0.1038152675 0.8822527
## 4246  4246 response 0.92566065 7.435376e-02 0.5996696890 0.9904313
## 4247  4247 response 0.98013319 2.163086e-02 0.8483073308 0.9977077
## 4248  4248 response 0.90009894 1.139147e-01 0.4293209155 0.9908179
## 4249  4249 response 0.12929432 7.348067e-02 0.0396766685 0.3479826
## 4250  4250 response 0.37041380 1.535188e-01 0.1393531613 0.6813079
## 4251  4251 response 0.09702243 9.015628e-02 0.0140954852 0.4467511
## 4252  4252 response 0.31590583 1.400943e-01 0.1147401848 0.6219676
## 4253  4253 response 0.64659816 1.534630e-01 0.3291214751 0.8721830
## 4254  4254 response 0.25045364 1.904052e-01 0.0437668735 0.7092483
## 4255  4255 response 0.81704756 1.352847e-01 0.4311020119 0.9633957
## 4256  4256 response 0.94650772 4.794758e-02 0.7344170166 0.9912450
## 4257  4257 response 0.76367390 2.119094e-01 0.2444563050 0.9699464
## 4258  4258 response 0.14913763 1.438375e-01 0.0186511393 0.6178091
## 4259  4259 response 0.40984405 2.715360e-01 0.0714284102 0.8624431
## 4260  4260 response 0.11255309 1.372867e-01 0.0085030180 0.6522508
## 4261  4261 response 0.35278505 2.635323e-01 0.0537085166 0.8396115
## 4262  4262 response 0.68351033 2.495799e-01 0.1837234089 0.9539650
## 4263  4263 response 0.28285120 2.804824e-01 0.0255691063 0.8556652
## 4264  4264 response 0.84054691 1.816643e-01 0.2700681963 0.9868602
## 4265  4265 response 0.95430845 5.983539e-02 0.5864990505 0.9967590
## 4266  4266 response 0.79228597 2.532473e-01 0.1574486091 0.9873186
## 4267  4267 response 0.37561695 1.808366e-01 0.1171757845 0.7316603
## 4268  4268 response 0.70444941 1.598715e-01 0.3460547557 0.9147903
## 4269  4269 response 0.30327791 2.215240e-01 0.0528233566 0.7726013
## 4270  4270 response 0.65166526 1.826752e-01 0.2787029993 0.9005758
## 4271  4271 response 0.88112613 8.549081e-02 0.5995093596 0.9734768
## 4272  4272 response 0.57513278 2.594919e-01 0.1444820918 0.9156145
## 4273  4273 response 0.94762302 5.355387e-02 0.6858354078 0.9933750
## 4274  4274 response 0.98624172 1.504700e-02 0.8907872195 0.9984152
## 4275  4275 response 0.92903415 8.327545e-02 0.5240630668 0.9936161
## 4276  4276 response 0.17746898 1.031730e-01 0.0512283090 0.4629916
## 4277  4277 response 0.46087523 1.767249e-01 0.1749631382 0.7750786
## 4278  4278 response 0.13503755 1.239632e-01 0.0191285955 0.5555178
## 4279  4279 response 0.40154563 1.683604e-01 0.1452698825 0.7259428
## 4280  4280 response 0.72665987 1.433204e-01 0.3925768490 0.9162134
## 4281  4281 response 0.32682687 2.300365e-01 0.0588645799 0.7902948
## 4282  4282 response 0.86646909 1.087756e-01 0.5068584932 0.9761714
## 4283  4283 response 0.96256027 3.532143e-02 0.7901569649 0.9943355
## 4284  4284 response 0.82441497 1.735449e-01 0.3093359938 0.9800881
## 4285  4285 response 0.20298224 1.773631e-01 0.0288462262 0.6858932
## 4286  4286 response 0.50225304 2.711510e-01 0.1074731526 0.8942436
## 4287  4287 response 0.15560478 1.762827e-01 0.0131136911 0.7187552
## 4288  4288 response 0.44196347 2.753348e-01 0.0815656320 0.8759765
## 4289  4289 response 0.75833513 2.044244e-01 0.2606277111 0.9654390
## 4290  4290 response 0.36430208 3.124243e-01 0.0391335338 0.8896701
## 4291  4291 response 0.88451771 1.349536e-01 0.3650428009 0.9902953
## 4292  4292 response 0.96809897 4.132415e-02 0.6878578323 0.9976129
## 4293  4293 response 0.84714504 1.951087e-01 0.2243001637 0.9906737
## 4294  4294 response 0.83755321 1.913246e-01 0.2467598843 0.9878264
## 4295  4295 response 0.95333202 6.239433e-02 0.5666479662 0.9968763
## 4296  4296 response 0.78861405 2.607517e-01 0.1481552907 0.9876580
## 4297  4297 response 0.94129300 7.841854e-02 0.4983420082 0.9961508
## 4298  4298 response 0.98450263 2.172023e-02 0.7959630378 0.9990343
## 4299  4299 response 0.92064570 1.145522e-01 0.3493194491 0.9960273
## 4300  4300 response 0.99359225 1.006043e-02 0.8750918074 0.9997087
## 4301  4301 response 0.99837495 2.594216e-03 0.9639673351 0.9999291
## 4302  4302 response 0.99116601 1.489236e-02 0.8000673765 0.9996822
## 4303  4303 response 0.64902087 3.435124e-01 0.0877921808 0.9726251
## 4304  4304 response 0.87990267 1.593797e-01 0.2759679738 0.9929494
## 4305  4305 response 0.57228872 4.143546e-01 0.0462369133 0.9736357
## 4306  4306 response 0.85186441 1.892307e-01 0.2333002122 0.9908822
## 4307  4307 response 0.95795539 6.072043e-02 0.5427143866 0.9977190
## 4308  4308 response 0.80623927 2.621340e-01 0.1343449426 0.9911161
## 4309  4309 response 0.98233630 2.802317e-02 0.7012085106 0.9992418
## 4310  4310 response 0.99548216 7.361698e-03 0.8990752928 0.9998166
## 4311  4311 response 0.97575211 4.183458e-02 0.5570864181 0.9992239
## 4312  4312 response 0.68580295 3.105308e-01 0.1146606884 0.9735356
## 4313  4313 response 0.89635275 1.328788e-01 0.3439044833 0.9930402
## 4314  4314 response 0.61230870 3.856834e-01 0.0613794843 0.9744538
## 4315  4315 response 0.87159452 1.623587e-01 0.2832923281 0.9914941
## 4316  4316 response 0.96414995 5.005133e-02 0.6115401482 0.9978282
## 4317  4317 response 0.83083946 2.284837e-01 0.1687215953 0.9916565
## 4318  4318 response 0.98499501 2.369535e-02 0.7392353406 0.9993426
## 4319  4319 response 0.99616989 6.163512e-03 0.9164354623 0.9998379
## 4320  4320 response 0.97938106 3.532332e-02 0.6064249674 0.9993175
## 4321  4321 response 0.84165047 1.358060e-01 0.4190617275 0.9751018
## 4322  4322 response 0.95466714 4.256162e-02 0.7539517358 0.9931379
## 4323  4323 response 0.79364153 1.770263e-01 0.3161471407 0.9696921
## 4324  4324 response 0.94295194 5.508667e-02 0.6895557986 0.9919356
## 4325  4325 response 0.98496006 1.482085e-02 0.9021183208 0.9978557
## 4326  4326 response 0.92284026 7.650034e-02 0.5928813477 0.9899220
## 4327  4327 response 0.99378308 7.515470e-03 0.9364383993 0.9994238
## 4328  4328 response 0.99842357 1.914120e-03 0.9831671483 0.9998544
## 4329  4329 response 0.99142847 1.053340e-02 0.9106266922 0.9992390
## 4330  4330 response 0.65591981 2.443110e-01 0.1859535519 0.9408578
## 4331  4331 response 0.88308089 1.088729e-01 0.4888051077 0.9835146
## 4332  4332 response 0.57971923 2.907564e-01 0.1173958926 0.9346593
## 4333  4333 response 0.85566291 1.307254e-01 0.4268190201 0.9792510
## 4334  4334 response 0.95916391 4.077869e-02 0.7532383784 0.9944975
## 4335  4335 response 0.81094805 1.780120e-01 0.3058570601 0.9766133
## 4336  4336 response 0.98285656 2.013406e-02 0.8464238392 0.9983260
## 4337  4337 response 0.99561695 5.233612e-03 0.9558498810 0.9995806
## 4338  4338 response 0.97646166 2.913457e-02 0.7757173711 0.9979942
## 4339  4339 response 0.69232164 2.946243e-01 0.1301204700 0.9713041
## 4340  4340 response 0.89914554 1.223814e-01 0.3876239558 0.9920991
## 4341  4341 response 0.61950620 3.445552e-01 0.0849065453 0.9661827
## 4342  4342 response 0.87496136 1.513844e-01 0.3172404928 0.9906000
## 4343  4343 response 0.96518689 4.565793e-02 0.6590557428 0.9974915
## 4344  4344 response 0.83507271 2.002393e-01 0.2266079118 0.9887001
## 4345  4345 response 0.98543812 2.189637e-02 0.7727622638 0.9992580
## 4346  4346 response 0.99628424 5.622852e-03 0.9317878424 0.9998100
## 4347  4347 response 0.97998660 3.087753e-02 0.6911424520 0.9990676
## 4348  4348 response 0.88535845 9.963381e-02 0.5300220592 0.9814422
## 4349  4349 response 0.96835299 2.893418e-02 0.8278458619 0.9948902
## 4350  4350 response 0.84821118 1.342622e-01 0.4198830178 0.9773466
## 4351  4351 response 0.96002648 3.781493e-02 0.7768523634 0.9940006
## 4352  4352 response 0.98960020 9.883795e-03 0.9354279421 0.9984026
## 4353  4353 response 0.94558689 5.323327e-02 0.6958039159 0.9924827
## 4354  4354 response 0.99571298 5.043941e-03 0.9581904881 0.9995753
## 4355  4355 response 0.99891451 1.280456e-03 0.9891226059 0.9998926
## 4356  4356 response 0.99408495 7.072616e-03 0.9408580465 0.9994371
## 4357  4357 response 0.73473609 2.103818e-01 0.2503253779 0.9582916
## 4358  4358 response 0.91648786 8.042952e-02 0.5832030508 0.9885152
## 4359  4359 response 0.66713230 2.638140e-01 0.1633949433 0.9536320
## 4360  4360 response 0.89598116 9.822718e-02 0.5218958779 0.9855008
## 4361  4361 response 0.97153268 2.865363e-02 0.8175030826 0.9961687
## 4362  4362 response 0.86173844 1.375340e-01 0.3934920200 0.9835730
## 4363  4363 response 0.98813785 1.393077e-02 0.8902285865 0.9988327
## 4364  4364 response 0.99697930 3.591244e-03 0.9695877068 0.9997074
## 4365  4365 response 0.98368028 2.021243e-02 0.8363317349 0.9985955
## 4366  4366 response 0.76577712 2.372720e-01 0.1965268207 0.9776294
## 4367  4367 response 0.92833490 8.564507e-02 0.5095657401 0.9938462
## 4368  4368 response 0.70288524 2.929246e-01 0.1314664254 0.9736659
## 4369  4369 response 0.91045305 1.078112e-01 0.4322609338 0.9926887
## 4370  4370 response 0.97577744 3.063015e-02 0.7606039333 0.9980460
## 4371  4371 response 0.88033817 1.467887e-01 0.3239997199 0.9912223
## 4372  4372 response 0.98993228 1.463582e-02 0.8468432439 0.9994284
## 4373  4373 response 0.99743971 3.730745e-03 0.9569653849 0.9998535
## 4374  4374 response 0.98613956 2.073188e-02 0.7844720642 0.9992815
## 4375  4375 response 0.91817496 7.355381e-02 0.6222130441 0.9870887
## 4376  4376 response 0.97800233 2.024296e-02 0.8754887399 0.9964553
## 4377  4377 response 0.89034420 1.012846e-01 0.5152350654 0.9841337
## 4378  4378 response 0.97214157 2.657640e-02 0.8360349505 0.9958302
## 4379  4379 response 0.99281919 6.813259e-03 0.9550427012 0.9988899
## 4380  4380 response 0.96190465 3.766111e-02 0.7710875684 0.9947444
## 4381  4381 response 0.99704556 3.463456e-03 0.9711685851 0.9997043
## 4382  4382 response 0.99925267 8.771597e-04 0.9925795948 0.9999252
## 4383  4383 response 0.99592153 4.851816e-03 0.9591755685 0.9996061
## 4384  4384 response 0.80097646 1.766689e-01 0.3143819472 0.9724691
## 4385  4385 response 0.94098742 5.997011e-02 0.6575741257 0.9925040
## 4386  4386 response 0.74438112 2.305587e-01 0.2131548986 0.9690440
## 4387  4387 response 0.92601100 7.413916e-02 0.6001541642 0.9905086
## 4388  4388 response 0.98023230 2.062071e-02 0.8603222985 0.9975014
## 4389  4389 response 0.90055682 1.054485e-01 0.4739246137 0.9891346
## 4390  4390 response 0.99180573 9.842873e-03 0.9185159794 0.9992311
## 4391  4391 response 0.99791908 2.522278e-03 0.9779520258 0.9998072
## 4392  4392 response 0.98871073 1.426543e-02 0.8773537891 0.9990682
## 4393  4393 response 0.82610071 1.848974e-01 0.2760065548 0.9833873
## 4394  4394 response 0.94955027 5.988644e-02 0.6188856282 0.9954370
## 4395  4395 response 0.77463969 2.385867e-01 0.1909329264 0.9804177
## 4396  4396 response 0.93660055 7.632905e-02 0.5432407725 0.9945799
## 4397  4397 response 0.98320229 2.077340e-02 0.8326202972 0.9985501
## 4398  4398 response 0.91445289 1.060913e-01 0.4283030334 0.9934862
## 4399  4399 response 0.99304920 9.893451e-03 0.8959182493 0.9995785
## 4400  4400 response 0.99823651 2.508828e-03 0.9719530746 0.9998919
## 4401  4401 response 0.99041933 1.404973e-02 0.8502234509 0.9994691
## 4402  4402 response 0.98970892 1.538250e-02 0.8328598390 0.9994615
## 4403  4403 response 0.99738247 3.874145e-03 0.9541038845 0.9998568
## 4404  4404 response 0.98583326 2.147044e-02 0.7737267471 0.9992944
## 4405  4405 response 0.99666750 5.002794e-03 0.9398303808 0.9998254
## 4406  4406 response 0.99915680 1.253410e-03 0.9846554224 0.9999543
## 4407  4407 response 0.99540029 6.983931e-03 0.9158695610 0.9997676
## 4408  4408 response 0.99965438 5.629418e-04 0.9916439018 0.9999858
## 4409  4409 response 0.99991274 1.419307e-04 0.9978883999 0.9999964
## 4410  4410 response 0.99952241 7.791158e-04 0.9884263299 0.9999805
## 4411  4411 response 0.97182490 4.696773e-02 0.5445725845 0.9989960
## 4412  4412 response 0.99273581 1.222705e-02 0.8312293569 0.9997364
## 4413  4413 response 0.96147622 6.570781e-02 0.4354253495 0.9987634
## 4414  4414 response 0.99076337 1.549882e-02 0.7950877764 0.9996629
## 4415  4415 response 0.99765253 3.935764e-03 0.9403780507 0.9999127
## 4416  4416 response 0.98727971 2.192728e-02 0.7170005480 0.9995796
## 4417  4417 response 0.99903693 1.702417e-03 0.9700104398 0.9999699
## 4418  4418 response 0.99975675 4.304918e-04 0.9922451553 0.9999924
## 4419  4419 response 0.99866951 2.399834e-03 0.9560993697 0.9999613
## 4420  4420 response 0.97602716 3.678109e-02 0.6514847255 0.9988736
## 4421  4421 response 0.99383902 9.429596e-03 0.8874494743 0.9996971
## 4422  4422 response 0.96716982 5.166045e-02 0.5483989471 0.9986027
## 4423  4423 response 0.99216377 1.216996e-02 0.8548543097 0.9996327
## 4424  4424 response 0.99801054 3.059374e-03 0.9607542965 0.9999027
## 4425  4425 response 0.98920253 1.722805e-02 0.7951422726 0.9995378
## 4426  4426 response 0.99918398 1.368925e-03 0.9785345638 0.9999696
## 4427  4427 response 0.99979392 3.441449e-04 0.9945860404 0.9999922
## 4428  4428 response 0.99887260 1.924805e-03 0.9688322252 0.9999604
## 4429  4429 response 0.60046920 1.476432e-01 0.3102858602 0.8339139
## 4430  4430 response 0.85621362 7.131207e-02 0.6567601950 0.9488017
## 4431  4431 response 0.52095711 2.077721e-01 0.1753908839 0.8475674
## 4432  4432 response 0.82375263 9.341336e-02 0.5697708601 0.9428403
## 4433  4433 response 0.94876569 3.052092e-02 0.8439776912 0.9844707
## 4434  4434 response 0.77178870 1.477739e-01 0.3950887108 0.9459791
## 4435  4435 response 0.97835513 2.003257e-02 0.8762082970 0.9965475
## 4436  4436 response 0.99444715 5.302558e-03 0.9646274541 0.9991504
## 4437  4437 response 0.97033177 3.068217e-02 0.8019678491 0.9962284
## 4438  4438 response 0.35024198 1.336605e-01 0.1456513277 0.6302227
## 4439  4439 response 0.68109205 1.215148e-01 0.4163685562 0.8647469
## 4440  4440 response 0.28059370 1.784619e-01 0.0645075333 0.6881005
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## 4442  4442 response 0.86913773 6.331694e-02 0.6904566887 0.9518670
## 4443  4443 response 0.54811135 2.117100e-01 0.1850886820 0.8662649
## 4444  4444 response 0.94189861 4.498716e-02 0.7639611880 0.9878343
## 4445  4445 response 0.98466976 1.275708e-02 0.9245682935 0.9970378
## 4446  4446 response 0.92144653 7.378234e-02 0.6140350268 0.9885701
## 4447  4447 response 0.38885118 2.620967e-01 0.0682578530 0.8467683
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## 4449  4449 response 0.31525025 2.751199e-01 0.0364869735 0.8484194
## 4450  4450 response 0.66427803 2.486276e-01 0.1820283720 0.9462163
## 4451  4451 response 0.88687274 1.100232e-01 0.4774791652 0.9853495
## 4452  4452 response 0.58876797 3.087773e-01 0.1052055417 0.9457527
## 4453  4453 response 0.95033622 6.165430e-02 0.5965761324 0.9959777
## 4454  4454 response 0.98698190 1.681677e-02 0.8535896237 0.9989868
## 4455  4455 response 0.93264183 8.974902e-02 0.4570815820 0.9956277
## 4456  4456 response 0.68590482 1.197942e-01 0.4234109001 0.8665592
## 4457  4457 response 0.89639667 4.780605e-02 0.7593086523 0.9595630
## 4458  4458 response 0.61242093 1.865128e-01 0.2530159144 0.8805440
## 4459  4459 response 0.87164743 6.538094e-02 0.6835669666 0.9552549
## 4460  4460 response 0.96416629 1.956820e-02 0.8986480307 0.9879010
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## 4475  4475 response 0.78554018 1.679330e-01 0.3417502141 0.9627450
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## 4501  4501 response 0.57324445 2.409672e-01 0.1630817053 0.9025317
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## 4508  4508 response 0.99379117 7.423629e-03 0.9380495884 0.9994093
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## 4516  4516 response 0.99877877 1.771858e-03 0.9793570181 0.9999291
## 4517  4517 response 0.99969149 4.500921e-04 0.9946384691 0.9999823
## 4518  4518 response 0.99831303 2.556120e-03 0.9679643735 0.9999137
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## 4590  4590 response 0.92982266 9.029417e-02 0.4680029122 0.9950139
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## 4624  4624 response 0.99814687 2.692974e-03 0.9687959801 0.9998930
## 4625  4625 response 0.99953164 6.861871e-04 0.9917802371 0.9999735
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## 4627  4627 response 0.86529071 1.683177e-01 0.2748286054 0.9908983
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## 4639  4639 response 0.95931421 5.235601e-02 0.6297667071 0.9969497
## 4640  4640 response 0.98940907 1.390421e-02 0.8739610624 0.9992061
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## 4650  4650 response 0.63323555 2.097304e-01 0.2272665747 0.9101981
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## 4675  4675 response 0.77613580 1.039187e-01 0.5177525371 0.9180043
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## 4680  4680 response 0.96041319 4.151588e-02 0.7405195988 0.9951748
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## 4834  4834 response 0.86957901 1.597915e-01 0.2964501207 0.9906106
## 4835  4835 response 0.96352644 4.926820e-02 0.6286171508 0.9975804
## 4836  4836 response 0.82831025 2.229216e-01 0.1826351528 0.9904913
## 4837  4837 response 0.95399037 6.246976e-02 0.5602828690 0.9970450
## 4838  4838 response 0.98797386 1.692570e-02 0.8343153590 0.9992544
## 4839  4839 response 0.93751229 9.212870e-02 0.4075710765 0.9969530
## 4840  4840 response 0.99503777 7.833445e-03 0.8994808572 0.9997775
## 4841  4841 response 0.99874291 2.011798e-03 0.9717252430 0.9999456
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## 4844  4844 response 0.90453110 1.305235e-01 0.3287519900 0.9945738
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## 4846  4846 response 0.88146810 1.574794e-01 0.2793423087 0.9930396
## 4847  4847 response 0.96717463 4.800882e-02 0.6033249604 0.9982511
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## 4849  4849 response 0.98628600 2.197512e-02 0.7486152465 0.9994246
## 4850  4850 response 0.99650284 5.727857e-03 0.9191527787 0.9998600
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## 4856  4856 response 0.97205052 3.948089e-02 0.6683643185 0.9983366
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## 4860  4860 response 0.98398080 2.772956e-02 0.6614691227 0.9994824
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## 4865  4865 response 0.99798082 3.429067e-03 0.9462319389 0.9999280
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## 4867  4867 response 0.99917177 1.550590e-03 0.9684142210 0.9999789
## 4868  4868 response 0.99979083 3.877535e-04 0.9921397259 0.9999945
## 4869  4869 response 0.99885574 2.165271e-03 0.9551605471 0.9999720
## 4870  4870 response 0.93500933 1.086214e-01 0.3021372575 0.9979126
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## 4872  4872 response 0.91235783 1.489272e-01 0.2128788185 0.9975105
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## 4877  4877 response 0.99941702 1.087838e-03 0.9778469336 0.9999850
## 4878  4878 response 0.99681608 6.144309e-03 0.8756693575 0.9999282
## 4879  4879 response 0.94438835 1.043057e-01 0.2572222815 0.9988006
## 4880  4880 response 0.98535518 2.805777e-02 0.5982175604 0.9996712
## 4881  4881 response 0.92474265 1.424452e-01 0.1819673458 0.9985289
## 4882  4882 response 0.98141619 3.637724e-02 0.5143680915 0.9996204
## 4883  4883 response 0.99524351 9.273732e-03 0.8181514357 0.9998972
## 4884  4884 response 0.97449794 5.092314e-02 0.4078259273 0.9995286
## 4885  4885 response 0.99804582 4.117114e-03 0.8907518167 0.9999687
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## 4887  4887 response 0.99730131 5.789817e-03 0.8450075692 0.9999601
## 4888  4888 response 0.98313210 2.825090e-02 0.6740146104 0.9993917
## 4889  4889 response 0.99568830 7.129477e-03 0.8990969573 0.9998329
## 4890  4890 response 0.97683756 3.949807e-02 0.5793930024 0.9992261
## 4891  4891 response 0.99451312 9.359089e-03 0.8627473293 0.9998087
## 4892  4892 response 0.99860945 2.332240e-03 0.9639045005 0.9999482
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## 4895  4895 response 0.99985603 2.637510e-04 0.9948034809 0.9999960
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## 4899  4899 response 0.93798701 1.081961e-01 0.2830664156 0.9982772
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## 4901  4901 response 0.99613248 6.739790e-03 0.8930656707 0.9998741
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## 4905  4905 response 0.99780653 4.227122e-03 0.9117058741 0.9999501
## 4906  4906 response 0.96105073 7.282587e-02 0.3526480013 0.9991060
## 4907  4907 response 0.98987467 1.907033e-02 0.7012648205 0.9997544
## 4908  4908 response 0.94696069 1.007531e-01 0.2593319898 0.9989028
## 4909  4909 response 0.98713541 2.480704e-02 0.6251903902 0.9997168
## 4910  4910 response 0.99672154 6.263910e-03 0.8765350050 0.9999232
## 4911  4911 response 0.98230788 3.488996e-02 0.5204884365 0.9996480
## 4912  4912 response 0.99865424 2.783005e-03 0.9276284023 0.9999767
## 4913  4913 response 0.99966000 6.960290e-04 0.9815223222 0.9999939
## 4914  4914 response 0.99814110 3.915650e-03 0.8956399834 0.9999702
## 4915  4915 response 0.98832952 1.964500e-02 0.7504052954 0.9995810
## 4916  4916 response 0.99702854 4.917938e-03 0.9283894223 0.9998849
## 4917  4917 response 0.98394281 2.754718e-02 0.6677641494 0.9994650
## 4918  4918 response 0.99621725 6.458729e-03 0.9015290528 0.9998680
## 4919  4919 response 0.99904256 1.605044e-03 0.9749493000 0.9999643
## 4920  4920 response 0.99477973 9.072457e-03 0.8612630142 0.9998291
## 4921  4921 response 0.99960752 7.256552e-04 0.9854774625 0.9999895
## 4922  4922 response 0.99990091 1.812413e-04 0.9964387483 0.9999973
## 4923  4923 response 0.99945767 1.012163e-03 0.9793501254 0.9999860
## 4924  4924 response 0.96812556 5.570907e-02 0.4688443279 0.9990441
## 4925  4925 response 0.99175875 1.444879e-02 0.7900969294 0.9997402
## 4926  4926 response 0.95647897 7.810539e-02 0.3572084485 0.9988508
## 4927  4927 response 0.98952381 1.864226e-02 0.7356460402 0.9996882
## 4928  4928 response 0.99733502 4.697325e-03 0.9213625392 0.9999163
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## 4930  4930 response 0.99890646 2.070880e-03 0.9569552268 0.9999734
## 4931  4931 response 0.99972377 5.188757e-04 0.9891353686 0.9999930
## 4932  4932 response 0.99848934 2.933457e-03 0.9359561922 0.9999665
## 4933  4933 response 0.97286417 5.074938e-02 0.4530455952 0.9993560
## 4934  4934 response 0.99300931 1.304178e-02 0.7814139896 0.9998229
## 4935  4935 response 0.96288263 7.083499e-02 0.3477950659 0.9992082
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## 4937  4937 response 0.99774134 4.264543e-03 0.9154264570 0.9999445
## 4938  4938 response 0.98775610 2.398055e-02 0.6234214931 0.9997457
## 4939  4939 response 0.99907341 1.894861e-03 0.9512587366 0.9999832
## 4940  4940 response 0.99976597 4.734248e-04 0.9877993772 0.9999956
## 4941  4941 response 0.99871989 2.666177e-03 0.9290463375 0.9999785
## 4942  4942 response 0.99862412 2.830917e-03 0.9275095710 0.9999757
## 4943  4943 response 0.99965238 7.031291e-04 0.9819831354 0.9999934
## 4944  4944 response 0.99809951 3.955784e-03 0.8981103970 0.9999680
## 4945  4945 response 0.99955715 9.141565e-04 0.9752568462 0.9999923
## 4946  4946 response 0.99988819 2.274024e-04 0.9940112874 0.9999979
## 4947  4947 response 0.99938808 1.274654e-03 0.9648755672 0.9999897
## 4948  4948 response 0.99995419 9.946980e-05 0.9967794487 0.9999994
## 4949  4949 response 0.99998844 2.489181e-05 0.9992143768 0.9999998
## 4950  4950 response 0.99993669 1.379078e-04 0.9954933916 0.9999991
## 4951  4951 response 0.99617318 8.520077e-03 0.7652066519 0.9999519
## 4952  4952 response 0.99903137 2.132299e-03 0.9321316985 0.9999871
## 4953  4953 response 0.99471899 1.200331e-02 0.6813210609 0.9999397
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## 4960  4960 response 0.99675606 6.883311e-03 0.8256831599 0.9999498
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## 4982  4982 response 0.98043982 2.749940e-02 0.7510171668 0.9988009
## 4983  4983 response 0.90151671 1.423440e-01 0.2833036377 0.9953048
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## 4985  4985 response 0.99794132 3.264381e-03 0.9556115079 0.9999084
## 4986  4986 response 0.98883026 1.894824e-02 0.7541543528 0.9996087
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## 4988  4988 response 0.95006347 8.043907e-02 0.4067711370 0.9981092
## 4989  4989 response 0.77651338 3.218705e-01 0.0839582713 0.9924653
## 4990  4990 response 0.93723677 1.030565e-01 0.3251538546 0.9978440
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## 4992  4992 response 0.91529126 1.445165e-01 0.2187073018 0.9976081
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## 4994  4994 response 0.99825536 3.272897e-03 0.9350024602 0.9999561
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## 4998  4998 response 0.92263141 1.092025e-01 0.3729130779 0.9958357
## 4999  4999 response 0.98086195 2.704123e-02 0.7527579047 0.9988423
## 5000  5000 response 0.99509959 6.865588e-03 0.9278449158 0.9996883
## 5001  5001 response 0.97374288 3.944673e-02 0.6432062480 0.9986909
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## 5011  5011 response 0.99440616 8.886232e-03 0.8858886750 0.9997544
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## 5019  5019 response 0.94011893 1.024373e-01 0.3072975866 0.9982034
## 5020  5020 response 0.99525691 8.748123e-03 0.8473727587 0.9998739
## 5021  5021 response 0.99879862 2.202062e-03 0.9579629832 0.9999670
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## 5026  5026 response 0.98674943 1.883932e-02 0.8155267146 0.9992034
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## 5030  5030 response 0.99964966 5.606383e-04 0.9919871184 0.9999848
## 5031  5031 response 0.99808468 3.232781e-03 0.9498586664 0.9999302
## 5032  5032 response 0.89570783 1.387330e-01 0.3185672084 0.9937020
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## 5050  5050 response 0.99515110 8.882774e-03 0.8476335455 0.9998679
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## 5053  5053 response 0.99843563 2.894217e-03 0.9441139632 0.9999585
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## 5057  5057 response 0.99995911 8.055057e-05 0.9980605142 0.9999991
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## 5076  5076 response 0.99947138 1.116481e-03 0.9677957401 0.9999916
## 5077  5077 response 0.88193870 1.461222e-01 0.3230864256 0.9915194
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## 5081  5081 response 0.98925222 1.489425e-02 0.8552798452 0.9993029
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## 5083  5083 response 0.99556862 7.122855e-03 0.9046677786 0.9998120
## 5084  5084 response 0.99887784 1.797292e-03 0.9746354457 0.9999515
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## 5086  5086 response 0.72820260 2.777232e-01 0.1462066833 0.9766997
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## 5088  5088 response 0.65970491 3.541010e-01 0.0809487937 0.9771007
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## 5091  5091 response 0.85772732 1.920713e-01 0.2161321956 0.9924710
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## 5111  5111 response 0.99922741 1.219944e-03 0.9831719850 0.9999651
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## 5118  5118 response 0.89753796 1.446007e-01 0.2866675627 0.9947900
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## 5129  5129 response 0.99817697 3.297732e-03 0.9401117601 0.9999476
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## 5165  5165 response 0.99993792 1.213576e-04 0.9971442370 0.9999987
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## 5319  5319 response 0.96243501 7.422594e-02 0.3142069740 0.9993025
## 5320  5320 response 0.80161833 2.266477e-01 0.1983019474 0.9850771
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## 5322  5322 response 0.74514744 3.042074e-01 0.1123665718 0.9854081
## 5323  5323 response 0.92628674 9.949743e-02 0.4194408690 0.9954455
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## 5325  5325 response 0.90091726 1.448702e-01 0.2742032350 0.9954511
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## 5327  5327 response 0.99792744 3.400687e-03 0.9504655438 0.9999172
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## 5329  5329 response 0.59171113 3.389154e-01 0.0848262270 0.9577344
## 5330  5330 response 0.85167691 1.738503e-01 0.2789750246 0.9884011
## 5331  5331 response 0.51187296 4.048278e-01 0.0419636540 0.9616938
## 5332  5332 response 0.81840894 2.100917e-01 0.2200950985 0.9862967
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## 5334  5334 response 0.76531836 2.913324e-01 0.1195054185 0.9873984
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## 5337  5337 response 0.96926645 5.205360e-02 0.5065805809 0.9989688
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## 5339  5339 response 0.87142823 1.851231e-01 0.2100273218 0.9942458
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## 5343  5343 response 0.79378510 3.072553e-01 0.0885829518 0.9934833
## 5344  5344 response 0.98093327 3.497454e-02 0.5684357369 0.9995026
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## 5350  5350 response 0.94807452 7.185135e-02 0.5109993895 0.9968752
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## 5352  5352 response 0.92963399 1.061752e-01 0.3543077883 0.9968660
## 5353  5353 response 0.99436858 9.233971e-03 0.8745440297 0.9997765
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## 5356  5356 response 0.67801533 3.122530e-01 0.1131760665 0.9720240
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## 5359  5359 response 0.86752234 1.654838e-01 0.2803101052 0.9909990
## 5360  5360 response 0.96288804 5.081111e-02 0.6151766955 0.9976309
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## 5364  5364 response 0.97864341 3.689614e-02 0.5902102336 0.9993146
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## 5371  5371 response 0.98679910 2.405323e-02 0.6671172922 0.9996415
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## 5376  5376 response 0.97326929 5.165218e-02 0.4264282495 0.9994395
## 5377  5377 response 0.99365014 1.183930e-02 0.7982273345 0.9998385
## 5378  5378 response 0.99838970 2.987266e-03 0.9420202447 0.9999577
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## 5380  5380 response 0.99933965 1.332398e-03 0.9665873112 0.9999874
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## 5382  5382 response 0.99908761 1.932962e-03 0.9449251977 0.9999857
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## 5384  5384 response 0.98620782 2.639000e-02 0.6147014773 0.9996881
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## 5386  5386 response 0.98249409 3.377264e-02 0.5446295125 0.9996204
## 5387  5387 response 0.99552305 8.686387e-03 0.8298283302 0.9999014
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## 5389  5389 response 0.99816097 3.801026e-03 0.9036301369 0.9999682
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## 5391  5391 response 0.99746022 5.567558e-03 0.8409982042 0.9999657
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## 5398  5398 response 0.99844156 3.211116e-03 0.9181719186 0.9999727
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## 5409  5409 response 0.97986503 2.412924e-02 0.8157660037 0.9981338
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## 5414  5414 response 0.90810818 8.625415e-02 0.5658334906 0.9868310
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## 5416  5416 response 0.96019345 4.453716e-02 0.7108070839 0.9957935
## 5417  5417 response 0.98964497 1.214426e-02 0.9035405765 0.9989755
## 5418  5418 response 0.94581077 6.286934e-02 0.6119140282 0.9948508
## 5419  5419 response 0.48631627 3.412639e-01 0.0610990476 0.9323093
## 5420  5420 response 0.78951793 2.236049e-01 0.2116122981 0.9812802
## 5421  5421 response 0.40653904 3.460934e-01 0.0395495193 0.9193291
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## 5425  5425 response 0.96606995 4.920940e-02 0.6002545309 0.9981512
## 5426  5426 response 0.99121343 1.311782e-02 0.8549120041 0.9995372
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## 5430  5430 response 0.70159300 2.166083e-01 0.2363270690 0.9469852
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## 5432  5432 response 0.97563094 2.334512e-02 0.8538673741 0.9963678
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## 6043  6043 response 0.99001591 1.505259e-02 0.8336850322 0.9994905
## 6044  6044 response 0.99746114 3.804632e-03 0.9538626821 0.9998661
## 6045  6045 response 0.98625426 2.119915e-02 0.7700038573 0.9993501
## 6046  6046 response 0.99895829 1.706438e-03 0.9747130845 0.9999581
## 6047  6047 response 0.99973688 4.301560e-04 0.9935526861 0.9999893
## 6048  6048 response 0.99856092 2.390046e-03 0.9638231605 0.9999447
## 6049  6049 response 0.54066469 1.473329e-01 0.2689923857 0.7901415
## 6050  6050 response 0.82343412 8.258994e-02 0.6050182845 0.9342055
## 6051  6051 response 0.45995494 1.988656e-01 0.1506301594 0.8035480
## 6052  6052 response 0.78542743 1.049543e-01 0.5192393669 0.9254055
## 6053  6053 response 0.93549607 3.729762e-02 0.8119778476 0.9798814
## 6054  6054 response 0.72592347 1.606986e-01 0.3522820362 0.9280489
## 6055  6055 response 0.97252723 2.492120e-02 0.8505026249 0.9954806
## 6056  6056 response 0.99292068 6.709758e-03 0.9557474167 0.9989033
## 6057  6057 response 0.96242654 3.767864e-02 0.7686986546 0.9949602
## 6058  6058 response 0.29684289 1.112250e-01 0.1293420430 0.5453833
## 6059  6059 response 0.62583580 1.207550e-01 0.3784044845 0.8212901
## 6060  6060 response 0.23398939 1.494473e-01 0.0562465754 0.6102300
## 6061  6061 response 0.56762897 1.246730e-01 0.3266338643 0.7803689
## 6062  6062 response 0.83874971 6.942582e-02 0.6554010392 0.9343211
## 6063  6063 response 0.48716308 2.006235e-01 0.1644812713 0.8209119
## 6064  6064 response 0.92698730 5.314988e-02 0.7314842655 0.9833809
## 6065  6065 response 0.98050820 1.563293e-02 0.9101023931 0.9960152
## 6066  6066 response 0.90183338 8.649543e-02 0.5751370124 0.9842135
## 6067  6067 response 0.33257859 2.383822e-01 0.0572471500 0.8035033
## 6068  6068 response 0.66378896 2.344367e-01 0.2012246861 0.9392953
## 6069  6069 response 0.26501019 2.413935e-01 0.0307956859 0.8035962
## 6070  6070 response 0.60778613 2.590077e-01 0.1555746828 0.9287445
## 6071  6071 response 0.85993937 1.293942e-01 0.4278011553 0.9805526
## 6072  6072 response 0.52858702 3.090905e-01 0.0897493334 0.9272804
## 6073  6073 response 0.93744655 7.521887e-02 0.5481180552 0.9946282
## 6074  6074 response 0.98343744 2.102327e-02 0.8255166698 0.9986599
## 6075  6075 response 0.91556779 1.080739e-01 0.4118001458 0.9940814
## 6076  6076 response 0.63103072 1.230846e-01 0.3776625933 0.8281772
## 6077  6077 response 0.87140197 5.594207e-02 0.7180830733 0.9474421
## 6078  6078 response 0.55307388 1.853589e-01 0.2215512989 0.8432810
## 6079  6079 response 0.84173607 7.446233e-02 0.6400695521 0.9408518
## 6080  6080 response 0.95469494 2.391264e-02 0.8770066920 0.9841960
## 6081  6081 response 0.79374673 1.236916e-01 0.4667562174 0.9441961
## 6082  6082 response 0.98092888 1.661500e-02 0.9002119368 0.9966017
## 6083  6083 response 0.99511698 4.424202e-03 0.9716007177 0.9991769
## 6084  6084 response 0.97383405 2.545971e-02 0.8400335721 0.9962232
## 6085  6085 response 0.38018690 1.245980e-01 0.1787128364 0.6335745
## 6086  6086 response 0.70848050 1.054281e-01 0.4719131117 0.8685841
## 6087  6087 response 0.30740104 1.761711e-01 0.0806096936 0.6920021
## 6088  6088 response 0.65606479 1.129953e-01 0.4168587205 0.8357987
## 6089  6089 response 0.88314721 5.213611e-02 0.7373801811 0.9531472
## 6090  6090 response 0.57987575 1.935858e-01 0.2252781528 0.8675761
## 6091  6091 response 0.94857950 3.789482e-02 0.8009458068 0.9883144
## 6092  6092 response 0.98650301 1.077592e-02 0.9373484716 0.9972073
## 6093  6093 response 0.93030513 6.270596e-02 0.6672683047 0.9888700
## 6094  6094 response 0.41996353 2.426816e-01 0.0931686932 0.8361283
## 6095  6095 response 0.74151305 1.859981e-01 0.2998309520 0.9505368
## 6096  6096 response 0.34378636 2.639524e-01 0.0502277214 0.8384477
## 6097  6097 response 0.69245847 2.147415e-01 0.2378099257 0.9420239
## 6098  6098 response 0.89920378 9.015616e-02 0.5594249138 0.9842957
## 6099  6099 response 0.61965762 2.757342e-01 0.1412498156 0.9416480
## 6100  6100 response 0.95609213 5.099843e-02 0.6681305957 0.9957720
## 6101  6101 response 0.98854187 1.385112e-02 0.8870317516 0.9989462
## 6102  6102 response 0.94031969 7.484741e-02 0.5357243645 0.9953734
## 6103  6103 response 0.71305408 1.076154e-01 0.4698871331 0.8744756
## 6104  6104 response 0.90779751 4.146342e-02 0.7885351859 0.9629577
## 6105  6105 response 0.64261235 1.708403e-01 0.2949935284 0.8854105
## 6106  6106 response 0.88542365 5.618234e-02 0.7230006160 0.9581236
## 6107  6107 response 0.96837267 1.674521e-02 0.9129336640 0.9889389
## 6108  6108 response 0.84829388 9.621444e-02 0.5636380389 0.9603278
## 6109  6109 response 0.98679605 1.148721e-02 0.9299549069 0.9976286
## 6110  6110 response 0.99663420 3.031006e-03 0.9805401459 0.9994256
## 6111  6111 response 0.98184352 1.765318e-02 0.8859002655 0.9973519
## 6112  6112 response 0.47124858 1.463274e-01 0.2199214985 0.7380501
## 6113  6113 response 0.77930795 9.802747e-02 0.5360665832 0.9151931
## 6114  6114 response 0.39205660 2.055654e-01 0.1063040244 0.7775960
## 6115  6115 response 0.73486128 1.090315e-01 0.4806704273 0.8924691
## 6116  6116 response 0.91653702 4.304411e-02 0.7847128955 0.9706608
## 6117  6117 response 0.66727495 1.841100e-01 0.2830423710 0.9106170
## 6118  6118 response 0.96403395 2.817127e-02 0.8450230765 0.9924679
## 6119  6119 response 0.99067162 7.790040e-03 0.9531652506 0.9981988
## 6120  6120 response 0.95096804 4.629447e-02 0.7347888017 0.9926884
## 6121  6121 response 0.51267209 2.371970e-01 0.1406276667 0.8711859
## 6122  6122 response 0.80650679 1.438342e-01 0.4063624395 0.9620926
## 6123  6123 response 0.43220912 2.767342e-01 0.0770565534 0.8740597
## 6124  6124 response 0.76589233 1.722348e-01 0.3323757302 0.9555525
## 6125  6125 response 0.92837763 6.288294e-02 0.6700623509 0.9880570
## 6126  6126 response 0.70301939 2.351522e-01 0.2065598417 0.9556052
## 6127  6127 response 0.96936158 3.483765e-02 0.7604871577 0.9968381
## 6128  6128 response 0.99208582 9.271837e-03 0.9253005095 0.9992123
## 6129  6129 response 0.95814710 5.186607e-02 0.6447098388 0.9965496
## 6130  6130 response 0.95515202 5.438968e-02 0.6387690679 0.9961166
## 6131  6131 response 0.98828803 1.452731e-02 0.8781952372 0.9989885
## 6132  6132 response 0.93906341 7.790669e-02 0.5166579706 0.9955191
## 6133  6133 response 0.98512598 1.868151e-02 0.8447895362 0.9987607
## 6134  6134 response 0.99620370 4.801735e-03 0.9561200623 0.9996837
## 6135  6135 response 0.97956001 2.717741e-02 0.7701618198 0.9985431
## 6136  6136 response 0.99844120 2.235240e-03 0.9746032184 0.9999065
## 6137  6137 response 0.99960611 5.700493e-04 0.9933164910 0.9999769
## 6138  6138 response 0.99784699 3.208684e-03 0.9612628173 0.9998845
## 6139  6139 response 0.88423860 1.473436e-01 0.3125802822 0.9922668
## 6140  6140 response 0.96801456 4.429197e-02 0.6470777148 0.9980022
## 6141  6141 response 0.84679126 2.024746e-01 0.2060010466 0.9915785
## 6142  6142 response 0.95960273 5.514494e-02 0.5937874875 0.9974161
## 6143  6143 response 0.98948652 1.479049e-02 0.8529502904 0.9993456
## 6144  6144 response 0.94501883 7.986706e-02 0.4579684508 0.9971482
## 6145  6145 response 0.99566582 6.597295e-03 0.9198656052 0.9997825
## 6146  6146 response 0.99890253 1.691918e-03 0.9778765412 0.9999466
## 6147  6147 response 0.99402000 9.635284e-03 0.8739498927 0.9997491
## 6148  6148 response 0.90016216 1.181696e-01 0.4065821331 0.9916422
## 6149  6149 response 0.97276921 3.424641e-02 0.7392121122 0.9977837
## 6150  6150 response 0.86709164 1.655624e-01 0.2808489513 0.9909080
## 6151  6151 response 0.96556331 4.378011e-02 0.6798270539 0.9973065
## 6152  6152 response 0.99107877 1.152664e-02 0.8961539046 0.9993012
## 6153  6153 response 0.95302592 6.400511e-02 0.5517743697 0.9970182
## 6154  6154 response 0.99632570 5.371982e-03 0.9385777754 0.9997922
## 6155  6155 response 0.99907008 1.367409e-03 0.9836131347 0.9999480
## 6156  6156 response 0.99492918 7.840161e-03 0.9032055553 0.9997577
## 6157  6157 response 0.43668370 1.431290e-01 0.1986059815 0.7080156
## 6158  6158 response 0.75438518 1.045725e-01 0.5039945922 0.9027621
## 6159  6159 response 0.35935263 1.910271e-01 0.0993485223 0.7404165
## 6160  6160 response 0.70680753 1.281923e-01 0.4176325820 0.8901582
## 6161  6161 response 0.90522688 5.330890e-02 0.7386218557 0.9699558
## 6162  6162 response 0.63561598 1.949052e-01 0.2510573960 0.9007650
## 6163  6163 response 0.95887134 3.702338e-02 0.7873534200 0.9932340
## 6164  6164 response 0.98929013 1.022713e-02 0.9330142561 0.9983703
## 6165  6165 response 0.94403880 5.684847e-02 0.6718233094 0.9928579
## 6166  6166 response 0.21754540 7.897114e-02 0.1007128658 0.4083652
## 6167  6167 response 0.52416674 1.133277e-01 0.3113510433 0.7285534
## 6168  6168 response 0.16748308 1.156072e-01 0.0381024397 0.5053716
## 6169  6169 response 0.46369723 1.105378e-01 0.2656785104 0.6738666
## 6170  6170 response 0.77404666 8.057948e-02 0.5813471269 0.8941927
## 6171  6171 response 0.38485060 1.901799e-01 0.1147108442 0.7512855
## 6172  6172 response 0.89318119 7.220161e-02 0.6548502694 0.9735806
## 6173  6173 response 0.97069989 2.265218e-02 0.8742887080 0.9937034
## 6174  6174 response 0.85816264 1.199746e-01 0.4671088973 0.9766146
## 6175  6175 response 0.24708937 1.975554e-01 0.0393346932 0.7245463
## 6176  6176 response 0.56526900 2.562133e-01 0.1441892767 0.9093786
## 6177  6177 response 0.19189567 1.943779e-01 0.0199476080 0.7347813
## 6178  6178 response 0.50509103 2.695900e-01 0.1097398332 0.8941765
## 6179  6179 response 0.80172894 1.701654e-01 0.3315916371 0.9705528
## 6180  6180 response 0.42478077 3.073434e-01 0.0590502847 0.8967982
## 6181  6181 response 0.90800264 1.071190e-01 0.4442682864 0.9918603
## 6182  6182 response 0.97506564 3.145837e-02 0.7558832498 0.9979793
## 6183  6183 response 0.87717484 1.529194e-01 0.3066287453 0.9914039
## 6184  6184 response 0.52971250 1.289109e-01 0.2900309231 0.7564316
## 6185  6185 response 0.81694138 7.428893e-02 0.6276473964 0.9219675
## 6186  6186 response 0.44903940 1.934810e-01 0.1496513066 0.7905482
## 6187  6187 response 0.77791403 9.603349e-02 0.5409268324 0.9123785
## 6188  6188 response 0.93278775 3.498852e-02 0.8229569256 0.9764347
## 6189  6189 response 0.71707703 1.608186e-01 0.3489560996 0.9229875
## 6190  6190 response 0.97132607 2.494010e-02 0.8541596106 0.9949220
## 6191  6191 response 0.99260438 6.773000e-03 0.9565245934 0.9987801
## 6192  6192 response 0.96080157 3.899970e-02 0.7630632459 0.9946682
## 6193  6193 response 0.28773585 9.449308e-02 0.1406281383 0.4993177
## 6194  6194 response 0.61547007 1.065823e-01 0.3983605363 0.7946246
## 6195  6195 response 0.22619038 1.441892e-01 0.0549622814 0.5950014
## 6196  6196 response 0.55679267 1.081352e-01 0.3473541595 0.7478164
## 6197  6197 response 0.83270573 6.318405e-02 0.6717177663 0.9237122
## 6198  6198 response 0.47617116 1.985502e-01 0.1603621449 0.8122597
## 6199  6199 response 0.92395076 5.264376e-02 0.7366937098 0.9813979
## 6200  6200 response 0.97964868 1.572336e-02 0.9111962757 0.9955913
## 6201  6201 response 0.89786598 8.956955e-02 0.5644794849 0.9835057
## 6202  6202 response 0.32287862 2.151647e-01 0.0647978793 0.7664443
## 6203  6203 response 0.65389319 2.178957e-01 0.2225550978 0.9257545
## 6204  6204 response 0.25652348 2.261405e-01 0.0326695895 0.7790023
## 6205  6205 response 0.59724216 2.406752e-01 0.1726378658 0.9133325
## 6206  6206 response 0.85455189 1.232295e-01 0.4569972015 0.9761993
## 6207  6207 response 0.51760380 2.969120e-01 0.0944739289 0.9169097
## 6208  6208 response 0.93481442 7.404660e-02 0.5699063428 0.9935982
## 6209  6209 response 0.98270481 2.085324e-02 0.8368688156 0.9984135
## 6210  6210 response 0.91210136 1.087685e-01 0.4208023362 0.9932979
## 6211  6211 response 0.62072169 1.215730e-01 0.3729683287 0.8182787
## 6212  6212 response 0.86638690 5.725974e-02 0.7109306912 0.9447399
## 6213  6213 response 0.54216702 1.929669e-01 0.2051194031 0.8445840
## 6214  6214 response 0.83578211 7.579503e-02 0.6329294632 0.9375874
## 6215  6215 response 0.95275201 2.491950e-02 0.8720222153 0.9835190
## 6216  6216 response 0.78644543 1.320504e-01 0.4409280763 0.9450419
## 6217  6217 response 0.98008754 1.736827e-02 0.8958575066 0.9964617
## 6218  6218 response 0.99489830 4.653143e-03 0.9700047420 0.9991504
## 6219  6219 response 0.97268843 2.730361e-02 0.8261156013 0.9962683
## 6220  6220 response 0.36986788 1.232357e-01 0.1723399806 0.6232970
## 6221  6221 response 0.69930427 1.090265e-01 0.4570485604 0.8653208
## 6222  6222 response 0.29810741 1.799357e-01 0.0729792695 0.6961746
## 6223  6223 response 0.64606289 1.157216e-01 0.4036912552 0.8311309
## 6224  6224 response 0.87852632 5.533154e-02 0.7235895113 0.9523368
## 6225  6225 response 0.56911339 2.039315e-01 0.2055922954 0.8708136
## 6226  6226 response 0.94638904 3.993724e-02 0.7905301877 0.9880343
## 6227  6227 response 0.98590404 1.145373e-02 0.9329131300 0.9971654
## 6228  6228 response 0.92739577 6.753990e-02 0.6413817453 0.9891572
## 6229  6229 response 0.40927779 2.266868e-01 0.0993342421 0.8131699
## 6230  6230 response 0.73298471 1.790080e-01 0.3137153195 0.9428078
## 6231  6231 response 0.33392305 2.546042e-01 0.0504943042 0.8253598
## 6232  6232 response 0.68300356 2.063939e-01 0.2495936136 0.9331428
## 6233  6233 response 0.89514246 8.853085e-02 0.5734023538 0.9818900
## 6234  6234 response 0.60922760 2.730560e-01 0.1413729448 0.9365569
## 6235  6235 response 0.95420624 5.130243e-02 0.6760376688 0.9952168
## 6236  6236 response 0.98803228 1.402207e-02 0.8898567973 0.9988161
## 6237  6237 response 0.93780044 7.686123e-02 0.5326002570 0.9950124
## 6238  6238 response 0.93345045 7.887262e-02 0.5380362445 0.9941150
## 6239  6239 response 0.98232397 2.185596e-02 0.8250088944 0.9984758
## 6240  6240 response 0.91030773 1.129697e-01 0.4026442934 0.9934989
## 6241  6241 response 0.97758823 2.800340e-02 0.7808098855 0.9981312
## 6242  6242 response 0.99424705 7.301383e-03 0.9340345610 0.9995262
## 6243  6243 response 0.96928952 4.115604e-02 0.6774620550 0.9978960
## 6244  6244 response 0.99763504 3.408669e-03 0.9613203295 0.9998604
## 6245  6245 response 0.99940204 8.721686e-04 0.9896556199 0.9999658
## 6246  6246 response 0.99673453 4.953573e-03 0.9392411421 0.9998341
## 6247  6247 response 0.83417979 1.964315e-01 0.2372586741 0.9878579
## 6248  6248 response 0.95222576 6.433854e-02 0.5548692064 0.9968721
## 6249  6249 response 0.78448585 2.641602e-01 0.1454993390 0.9873123
##      heart.disease  sex    pain.type resting.bp serum.chol max.hr oldpeak
## 1               no male asymptomatic         94        126   71.0     0.0
## 2               no male asymptomatic         94        126   71.0     0.0
## 3               no male asymptomatic         94        126   71.0     0.0
## 4               no male asymptomatic         94        126   71.0     0.0
## 5               no male asymptomatic         94        126   71.0     0.0
## 6               no male asymptomatic         94        126   71.0     0.0
## 7               no male asymptomatic         94        126   71.0     0.0
## 8               no male asymptomatic         94        126   71.0     0.0
## 9               no male asymptomatic         94        126   71.0     0.0
## 10              no male asymptomatic         94        126   71.0     0.0
## 11              no male asymptomatic         94        126   71.0     0.0
## 12              no male asymptomatic         94        126   71.0     0.0
## 13              no male asymptomatic         94        126   71.0     0.0
## 14              no male asymptomatic         94        126   71.0     0.0
## 15              no male asymptomatic         94        126   71.0     0.0
## 16              no male asymptomatic         94        126   71.0     0.0
## 17              no male asymptomatic         94        126   71.0     0.0
## 18              no male asymptomatic         94        126   71.0     0.0
## 19              no male asymptomatic         94        126   71.0     0.0
## 20              no male asymptomatic         94        126   71.0     0.0
## 21              no male asymptomatic         94        126   71.0     0.0
## 22              no male asymptomatic         94        126   71.0     0.0
## 23              no male asymptomatic         94        126   71.0     0.0
## 24              no male asymptomatic         94        126   71.0     0.0
## 25              no male asymptomatic         94        126   71.0     0.0
## 26              no male asymptomatic         94        126   71.0     0.0
## 27              no male asymptomatic         94        126   71.0     0.0
## 28              no male asymptomatic         94        126   71.0     0.8
## 29              no male asymptomatic         94        126   71.0     0.8
## 30              no male asymptomatic         94        126   71.0     0.8
## 31              no male asymptomatic         94        126   71.0     0.8
## 32              no male asymptomatic         94        126   71.0     0.8
## 33              no male asymptomatic         94        126   71.0     0.8
## 34              no male asymptomatic         94        126   71.0     0.8
## 35              no male asymptomatic         94        126   71.0     0.8
## 36              no male asymptomatic         94        126   71.0     0.8
## 37              no male asymptomatic         94        126   71.0     0.8
## 38              no male asymptomatic         94        126   71.0     0.8
## 39              no male asymptomatic         94        126   71.0     0.8
## 40              no male asymptomatic         94        126   71.0     0.8
## 41              no male asymptomatic         94        126   71.0     0.8
## 42              no male asymptomatic         94        126   71.0     0.8
## 43              no male asymptomatic         94        126   71.0     0.8
## 44              no male asymptomatic         94        126   71.0     0.8
## 45              no male asymptomatic         94        126   71.0     0.8
## 46              no male asymptomatic         94        126   71.0     0.8
## 47              no male asymptomatic         94        126   71.0     0.8
## 48              no male asymptomatic         94        126   71.0     0.8
## 49              no male asymptomatic         94        126   71.0     0.8
## 50              no male asymptomatic         94        126   71.0     0.8
## 51              no male asymptomatic         94        126   71.0     0.8
## 52              no male asymptomatic         94        126   71.0     0.8
## 53              no male asymptomatic         94        126   71.0     0.8
## 54              no male asymptomatic         94        126   71.0     0.8
## 55              no male asymptomatic         94        126   71.0     1.6
## 56              no male asymptomatic         94        126   71.0     1.6
## 57              no male asymptomatic         94        126   71.0     1.6
## 58              no male asymptomatic         94        126   71.0     1.6
## 59              no male asymptomatic         94        126   71.0     1.6
## 60              no male asymptomatic         94        126   71.0     1.6
## 61              no male asymptomatic         94        126   71.0     1.6
## 62              no male asymptomatic         94        126   71.0     1.6
## 63              no male asymptomatic         94        126   71.0     1.6
## 64              no male asymptomatic         94        126   71.0     1.6
## 65              no male asymptomatic         94        126   71.0     1.6
## 66              no male asymptomatic         94        126   71.0     1.6
## 67              no male asymptomatic         94        126   71.0     1.6
## 68              no male asymptomatic         94        126   71.0     1.6
## 69              no male asymptomatic         94        126   71.0     1.6
## 70              no male asymptomatic         94        126   71.0     1.6
## 71              no male asymptomatic         94        126   71.0     1.6
## 72              no male asymptomatic         94        126   71.0     1.6
## 73              no male asymptomatic         94        126   71.0     1.6
## 74              no male asymptomatic         94        126   71.0     1.6
## 75              no male asymptomatic         94        126   71.0     1.6
## 76              no male asymptomatic         94        126   71.0     1.6
## 77              no male asymptomatic         94        126   71.0     1.6
## 78              no male asymptomatic         94        126   71.0     1.6
## 79              no male asymptomatic         94        126   71.0     1.6
## 80              no male asymptomatic         94        126   71.0     1.6
## 81              no male asymptomatic         94        126   71.0     1.6
## 82              no male asymptomatic         94        126   71.0     6.2
## 83              no male asymptomatic         94        126   71.0     6.2
## 84              no male asymptomatic         94        126   71.0     6.2
## 85              no male asymptomatic         94        126   71.0     6.2
## 86              no male asymptomatic         94        126   71.0     6.2
## 87              no male asymptomatic         94        126   71.0     6.2
## 88              no male asymptomatic         94        126   71.0     6.2
## 89              no male asymptomatic         94        126   71.0     6.2
## 90              no male asymptomatic         94        126   71.0     6.2
## 91              no male asymptomatic         94        126   71.0     6.2
## 92              no male asymptomatic         94        126   71.0     6.2
## 93              no male asymptomatic         94        126   71.0     6.2
## 94              no male asymptomatic         94        126   71.0     6.2
## 95              no male asymptomatic         94        126   71.0     6.2
## 96              no male asymptomatic         94        126   71.0     6.2
## 97              no male asymptomatic         94        126   71.0     6.2
## 98              no male asymptomatic         94        126   71.0     6.2
## 99              no male asymptomatic         94        126   71.0     6.2
## 100             no male asymptomatic         94        126   71.0     6.2
## 101             no male asymptomatic         94        126   71.0     6.2
## 102             no male asymptomatic         94        126   71.0     6.2
## 103             no male asymptomatic         94        126   71.0     6.2
## 104             no male asymptomatic         94        126   71.0     6.2
## 105             no male asymptomatic         94        126   71.0     6.2
## 106             no male asymptomatic         94        126   71.0     6.2
## 107             no male asymptomatic         94        126   71.0     6.2
## 108             no male asymptomatic         94        126   71.0     6.2
## 109             no male asymptomatic         94        126  133.0     0.0
## 110             no male asymptomatic         94        126  133.0     0.0
## 111             no male asymptomatic         94        126  133.0     0.0
## 112             no male asymptomatic         94        126  133.0     0.0
## 113             no male asymptomatic         94        126  133.0     0.0
## 114             no male asymptomatic         94        126  133.0     0.0
## 115             no male asymptomatic         94        126  133.0     0.0
## 116             no male asymptomatic         94        126  133.0     0.0
## 117             no male asymptomatic         94        126  133.0     0.0
## 118             no male asymptomatic         94        126  133.0     0.0
## 119             no male asymptomatic         94        126  133.0     0.0
## 120             no male asymptomatic         94        126  133.0     0.0
## 121             no male asymptomatic         94        126  133.0     0.0
## 122             no male asymptomatic         94        126  133.0     0.0
## 123             no male asymptomatic         94        126  133.0     0.0
## 124             no male asymptomatic         94        126  133.0     0.0
## 125             no male asymptomatic         94        126  133.0     0.0
## 126             no male asymptomatic         94        126  133.0     0.0
## 127             no male asymptomatic         94        126  133.0     0.0
## 128             no male asymptomatic         94        126  133.0     0.0
## 129             no male asymptomatic         94        126  133.0     0.0
## 130             no male asymptomatic         94        126  133.0     0.0
## 131             no male asymptomatic         94        126  133.0     0.0
## 132             no male asymptomatic         94        126  133.0     0.0
## 133             no male asymptomatic         94        126  133.0     0.0
## 134             no male asymptomatic         94        126  133.0     0.0
## 135             no male asymptomatic         94        126  133.0     0.0
## 136             no male asymptomatic         94        126  133.0     0.8
## 137             no male asymptomatic         94        126  133.0     0.8
## 138             no male asymptomatic         94        126  133.0     0.8
## 139             no male asymptomatic         94        126  133.0     0.8
## 140             no male asymptomatic         94        126  133.0     0.8
## 141             no male asymptomatic         94        126  133.0     0.8
## 142             no male asymptomatic         94        126  133.0     0.8
## 143             no male asymptomatic         94        126  133.0     0.8
## 144             no male asymptomatic         94        126  133.0     0.8
## 145             no male asymptomatic         94        126  133.0     0.8
## 146             no male asymptomatic         94        126  133.0     0.8
## 147             no male asymptomatic         94        126  133.0     0.8
## 148             no male asymptomatic         94        126  133.0     0.8
## 149             no male asymptomatic         94        126  133.0     0.8
## 150             no male asymptomatic         94        126  133.0     0.8
## 151             no male asymptomatic         94        126  133.0     0.8
## 152             no male asymptomatic         94        126  133.0     0.8
## 153             no male asymptomatic         94        126  133.0     0.8
## 154             no male asymptomatic         94        126  133.0     0.8
## 155             no male asymptomatic         94        126  133.0     0.8
## 156             no male asymptomatic         94        126  133.0     0.8
## 157             no male asymptomatic         94        126  133.0     0.8
## 158             no male asymptomatic         94        126  133.0     0.8
## 159             no male asymptomatic         94        126  133.0     0.8
## 160             no male asymptomatic         94        126  133.0     0.8
## 161             no male asymptomatic         94        126  133.0     0.8
## 162             no male asymptomatic         94        126  133.0     0.8
## 163             no male asymptomatic         94        126  133.0     1.6
## 164             no male asymptomatic         94        126  133.0     1.6
## 165             no male asymptomatic         94        126  133.0     1.6
## 166             no male asymptomatic         94        126  133.0     1.6
## 167             no male asymptomatic         94        126  133.0     1.6
## 168             no male asymptomatic         94        126  133.0     1.6
## 169             no male asymptomatic         94        126  133.0     1.6
## 170             no male asymptomatic         94        126  133.0     1.6
## 171             no male asymptomatic         94        126  133.0     1.6
## 172             no male asymptomatic         94        126  133.0     1.6
## 173             no male asymptomatic         94        126  133.0     1.6
## 174             no male asymptomatic         94        126  133.0     1.6
## 175             no male asymptomatic         94        126  133.0     1.6
## 176             no male asymptomatic         94        126  133.0     1.6
## 177             no male asymptomatic         94        126  133.0     1.6
## 178             no male asymptomatic         94        126  133.0     1.6
## 179             no male asymptomatic         94        126  133.0     1.6
## 180             no male asymptomatic         94        126  133.0     1.6
## 181             no male asymptomatic         94        126  133.0     1.6
## 182             no male asymptomatic         94        126  133.0     1.6
## 183             no male asymptomatic         94        126  133.0     1.6
## 184             no male asymptomatic         94        126  133.0     1.6
## 185             no male asymptomatic         94        126  133.0     1.6
## 186             no male asymptomatic         94        126  133.0     1.6
## 187             no male asymptomatic         94        126  133.0     1.6
## 188             no male asymptomatic         94        126  133.0     1.6
## 189             no male asymptomatic         94        126  133.0     1.6
## 190             no male asymptomatic         94        126  133.0     6.2
## 191             no male asymptomatic         94        126  133.0     6.2
## 192             no male asymptomatic         94        126  133.0     6.2
## 193             no male asymptomatic         94        126  133.0     6.2
## 194             no male asymptomatic         94        126  133.0     6.2
## 195             no male asymptomatic         94        126  133.0     6.2
## 196             no male asymptomatic         94        126  133.0     6.2
## 197             no male asymptomatic         94        126  133.0     6.2
## 198             no male asymptomatic         94        126  133.0     6.2
## 199             no male asymptomatic         94        126  133.0     6.2
## 200             no male asymptomatic         94        126  133.0     6.2
## 201             no male asymptomatic         94        126  133.0     6.2
## 202             no male asymptomatic         94        126  133.0     6.2
## 203             no male asymptomatic         94        126  133.0     6.2
## 204             no male asymptomatic         94        126  133.0     6.2
## 205             no male asymptomatic         94        126  133.0     6.2
## 206             no male asymptomatic         94        126  133.0     6.2
## 207             no male asymptomatic         94        126  133.0     6.2
## 208             no male asymptomatic         94        126  133.0     6.2
## 209             no male asymptomatic         94        126  133.0     6.2
## 210             no male asymptomatic         94        126  133.0     6.2
## 211             no male asymptomatic         94        126  133.0     6.2
## 212             no male asymptomatic         94        126  133.0     6.2
## 213             no male asymptomatic         94        126  133.0     6.2
## 214             no male asymptomatic         94        126  133.0     6.2
## 215             no male asymptomatic         94        126  133.0     6.2
## 216             no male asymptomatic         94        126  133.0     6.2
## 217             no male asymptomatic         94        126  153.5     0.0
## 218             no male asymptomatic         94        126  153.5     0.0
## 219             no male asymptomatic         94        126  153.5     0.0
## 220             no male asymptomatic         94        126  153.5     0.0
## 221             no male asymptomatic         94        126  153.5     0.0
## 222             no male asymptomatic         94        126  153.5     0.0
## 223             no male asymptomatic         94        126  153.5     0.0
## 224             no male asymptomatic         94        126  153.5     0.0
## 225             no male asymptomatic         94        126  153.5     0.0
## 226             no male asymptomatic         94        126  153.5     0.0
## 227             no male asymptomatic         94        126  153.5     0.0
## 228             no male asymptomatic         94        126  153.5     0.0
## 229             no male asymptomatic         94        126  153.5     0.0
## 230             no male asymptomatic         94        126  153.5     0.0
## 231             no male asymptomatic         94        126  153.5     0.0
## 232             no male asymptomatic         94        126  153.5     0.0
## 233             no male asymptomatic         94        126  153.5     0.0
## 234             no male asymptomatic         94        126  153.5     0.0
## 235             no male asymptomatic         94        126  153.5     0.0
## 236             no male asymptomatic         94        126  153.5     0.0
## 237             no male asymptomatic         94        126  153.5     0.0
## 238             no male asymptomatic         94        126  153.5     0.0
## 239             no male asymptomatic         94        126  153.5     0.0
## 240             no male asymptomatic         94        126  153.5     0.0
## 241             no male asymptomatic         94        126  153.5     0.0
## 242             no male asymptomatic         94        126  153.5     0.0
## 243             no male asymptomatic         94        126  153.5     0.0
## 244             no male asymptomatic         94        126  153.5     0.8
## 245             no male asymptomatic         94        126  153.5     0.8
## 246             no male asymptomatic         94        126  153.5     0.8
## 247             no male asymptomatic         94        126  153.5     0.8
## 248             no male asymptomatic         94        126  153.5     0.8
## 249             no male asymptomatic         94        126  153.5     0.8
## 250             no male asymptomatic         94        126  153.5     0.8
## 251             no male asymptomatic         94        126  153.5     0.8
## 252             no male asymptomatic         94        126  153.5     0.8
## 253             no male asymptomatic         94        126  153.5     0.8
## 254             no male asymptomatic         94        126  153.5     0.8
## 255             no male asymptomatic         94        126  153.5     0.8
## 256             no male asymptomatic         94        126  153.5     0.8
## 257             no male asymptomatic         94        126  153.5     0.8
## 258             no male asymptomatic         94        126  153.5     0.8
## 259             no male asymptomatic         94        126  153.5     0.8
## 260             no male asymptomatic         94        126  153.5     0.8
## 261             no male asymptomatic         94        126  153.5     0.8
## 262             no male asymptomatic         94        126  153.5     0.8
## 263             no male asymptomatic         94        126  153.5     0.8
## 264             no male asymptomatic         94        126  153.5     0.8
## 265             no male asymptomatic         94        126  153.5     0.8
## 266             no male asymptomatic         94        126  153.5     0.8
## 267             no male asymptomatic         94        126  153.5     0.8
## 268             no male asymptomatic         94        126  153.5     0.8
## 269             no male asymptomatic         94        126  153.5     0.8
## 270             no male asymptomatic         94        126  153.5     0.8
## 271             no male asymptomatic         94        126  153.5     1.6
## 272             no male asymptomatic         94        126  153.5     1.6
## 273             no male asymptomatic         94        126  153.5     1.6
## 274             no male asymptomatic         94        126  153.5     1.6
## 275             no male asymptomatic         94        126  153.5     1.6
## 276             no male asymptomatic         94        126  153.5     1.6
## 277             no male asymptomatic         94        126  153.5     1.6
## 278             no male asymptomatic         94        126  153.5     1.6
## 279             no male asymptomatic         94        126  153.5     1.6
## 280             no male asymptomatic         94        126  153.5     1.6
## 281             no male asymptomatic         94        126  153.5     1.6
## 282             no male asymptomatic         94        126  153.5     1.6
## 283             no male asymptomatic         94        126  153.5     1.6
## 284             no male asymptomatic         94        126  153.5     1.6
## 285             no male asymptomatic         94        126  153.5     1.6
## 286             no male asymptomatic         94        126  153.5     1.6
## 287             no male asymptomatic         94        126  153.5     1.6
## 288             no male asymptomatic         94        126  153.5     1.6
## 289             no male asymptomatic         94        126  153.5     1.6
## 290             no male asymptomatic         94        126  153.5     1.6
## 291             no male asymptomatic         94        126  153.5     1.6
## 292             no male asymptomatic         94        126  153.5     1.6
## 293             no male asymptomatic         94        126  153.5     1.6
## 294             no male asymptomatic         94        126  153.5     1.6
## 295             no male asymptomatic         94        126  153.5     1.6
## 296             no male asymptomatic         94        126  153.5     1.6
## 297             no male asymptomatic         94        126  153.5     1.6
## 298             no male asymptomatic         94        126  153.5     6.2
## 299             no male asymptomatic         94        126  153.5     6.2
## 300             no male asymptomatic         94        126  153.5     6.2
## 301             no male asymptomatic         94        126  153.5     6.2
## 302             no male asymptomatic         94        126  153.5     6.2
## 303             no male asymptomatic         94        126  153.5     6.2
## 304             no male asymptomatic         94        126  153.5     6.2
## 305             no male asymptomatic         94        126  153.5     6.2
## 306             no male asymptomatic         94        126  153.5     6.2
## 307             no male asymptomatic         94        126  153.5     6.2
## 308             no male asymptomatic         94        126  153.5     6.2
## 309             no male asymptomatic         94        126  153.5     6.2
## 310             no male asymptomatic         94        126  153.5     6.2
## 311             no male asymptomatic         94        126  153.5     6.2
## 312             no male asymptomatic         94        126  153.5     6.2
## 313             no male asymptomatic         94        126  153.5     6.2
## 314             no male asymptomatic         94        126  153.5     6.2
## 315             no male asymptomatic         94        126  153.5     6.2
## 316             no male asymptomatic         94        126  153.5     6.2
## 317             no male asymptomatic         94        126  153.5     6.2
## 318             no male asymptomatic         94        126  153.5     6.2
## 319             no male asymptomatic         94        126  153.5     6.2
## 320             no male asymptomatic         94        126  153.5     6.2
## 321             no male asymptomatic         94        126  153.5     6.2
## 322             no male asymptomatic         94        126  153.5     6.2
## 323             no male asymptomatic         94        126  153.5     6.2
## 324             no male asymptomatic         94        126  153.5     6.2
## 325             no male asymptomatic         94        126  166.0     0.0
## 326             no male asymptomatic         94        126  166.0     0.0
## 327             no male asymptomatic         94        126  166.0     0.0
## 328             no male asymptomatic         94        126  166.0     0.0
## 329             no male asymptomatic         94        126  166.0     0.0
## 330             no male asymptomatic         94        126  166.0     0.0
## 331             no male asymptomatic         94        126  166.0     0.0
## 332             no male asymptomatic         94        126  166.0     0.0
## 333             no male asymptomatic         94        126  166.0     0.0
## 334             no male asymptomatic         94        126  166.0     0.0
## 335             no male asymptomatic         94        126  166.0     0.0
## 336             no male asymptomatic         94        126  166.0     0.0
## 337             no male asymptomatic         94        126  166.0     0.0
## 338             no male asymptomatic         94        126  166.0     0.0
## 339             no male asymptomatic         94        126  166.0     0.0
## 340             no male asymptomatic         94        126  166.0     0.0
## 341             no male asymptomatic         94        126  166.0     0.0
## 342             no male asymptomatic         94        126  166.0     0.0
## 343             no male asymptomatic         94        126  166.0     0.0
## 344             no male asymptomatic         94        126  166.0     0.0
## 345             no male asymptomatic         94        126  166.0     0.0
## 346             no male asymptomatic         94        126  166.0     0.0
## 347             no male asymptomatic         94        126  166.0     0.0
## 348             no male asymptomatic         94        126  166.0     0.0
## 349             no male asymptomatic         94        126  166.0     0.0
## 350             no male asymptomatic         94        126  166.0     0.0
## 351             no male asymptomatic         94        126  166.0     0.0
## 352             no male asymptomatic         94        126  166.0     0.8
## 353             no male asymptomatic         94        126  166.0     0.8
## 354             no male asymptomatic         94        126  166.0     0.8
## 355             no male asymptomatic         94        126  166.0     0.8
## 356             no male asymptomatic         94        126  166.0     0.8
## 357             no male asymptomatic         94        126  166.0     0.8
## 358             no male asymptomatic         94        126  166.0     0.8
## 359             no male asymptomatic         94        126  166.0     0.8
## 360             no male asymptomatic         94        126  166.0     0.8
## 361             no male asymptomatic         94        126  166.0     0.8
## 362             no male asymptomatic         94        126  166.0     0.8
## 363             no male asymptomatic         94        126  166.0     0.8
## 364             no male asymptomatic         94        126  166.0     0.8
## 365             no male asymptomatic         94        126  166.0     0.8
## 366             no male asymptomatic         94        126  166.0     0.8
## 367             no male asymptomatic         94        126  166.0     0.8
## 368             no male asymptomatic         94        126  166.0     0.8
## 369             no male asymptomatic         94        126  166.0     0.8
## 370             no male asymptomatic         94        126  166.0     0.8
## 371             no male asymptomatic         94        126  166.0     0.8
## 372             no male asymptomatic         94        126  166.0     0.8
## 373             no male asymptomatic         94        126  166.0     0.8
## 374             no male asymptomatic         94        126  166.0     0.8
## 375             no male asymptomatic         94        126  166.0     0.8
## 376             no male asymptomatic         94        126  166.0     0.8
## 377             no male asymptomatic         94        126  166.0     0.8
## 378             no male asymptomatic         94        126  166.0     0.8
## 379             no male asymptomatic         94        126  166.0     1.6
## 380             no male asymptomatic         94        126  166.0     1.6
## 381             no male asymptomatic         94        126  166.0     1.6
## 382             no male asymptomatic         94        126  166.0     1.6
## 383             no male asymptomatic         94        126  166.0     1.6
## 384             no male asymptomatic         94        126  166.0     1.6
## 385             no male asymptomatic         94        126  166.0     1.6
## 386             no male asymptomatic         94        126  166.0     1.6
## 387             no male asymptomatic         94        126  166.0     1.6
## 388             no male asymptomatic         94        126  166.0     1.6
## 389             no male asymptomatic         94        126  166.0     1.6
## 390             no male asymptomatic         94        126  166.0     1.6
## 391             no male asymptomatic         94        126  166.0     1.6
## 392             no male asymptomatic         94        126  166.0     1.6
## 393             no male asymptomatic         94        126  166.0     1.6
## 394             no male asymptomatic         94        126  166.0     1.6
## 395             no male asymptomatic         94        126  166.0     1.6
## 396             no male asymptomatic         94        126  166.0     1.6
## 397             no male asymptomatic         94        126  166.0     1.6
## 398             no male asymptomatic         94        126  166.0     1.6
## 399             no male asymptomatic         94        126  166.0     1.6
## 400             no male asymptomatic         94        126  166.0     1.6
## 401             no male asymptomatic         94        126  166.0     1.6
## 402             no male asymptomatic         94        126  166.0     1.6
## 403             no male asymptomatic         94        126  166.0     1.6
## 404             no male asymptomatic         94        126  166.0     1.6
## 405             no male asymptomatic         94        126  166.0     1.6
## 406             no male asymptomatic         94        126  166.0     6.2
## 407             no male asymptomatic         94        126  166.0     6.2
## 408             no male asymptomatic         94        126  166.0     6.2
## 409             no male asymptomatic         94        126  166.0     6.2
## 410             no male asymptomatic         94        126  166.0     6.2
## 411             no male asymptomatic         94        126  166.0     6.2
## 412             no male asymptomatic         94        126  166.0     6.2
## 413             no male asymptomatic         94        126  166.0     6.2
## 414             no male asymptomatic         94        126  166.0     6.2
## 415             no male asymptomatic         94        126  166.0     6.2
## 416             no male asymptomatic         94        126  166.0     6.2
## 417             no male asymptomatic         94        126  166.0     6.2
## 418             no male asymptomatic         94        126  166.0     6.2
## 419             no male asymptomatic         94        126  166.0     6.2
## 420             no male asymptomatic         94        126  166.0     6.2
## 421             no male asymptomatic         94        126  166.0     6.2
## 422             no male asymptomatic         94        126  166.0     6.2
## 423             no male asymptomatic         94        126  166.0     6.2
## 424             no male asymptomatic         94        126  166.0     6.2
## 425             no male asymptomatic         94        126  166.0     6.2
## 426             no male asymptomatic         94        126  166.0     6.2
## 427             no male asymptomatic         94        126  166.0     6.2
## 428             no male asymptomatic         94        126  166.0     6.2
## 429             no male asymptomatic         94        126  166.0     6.2
## 430             no male asymptomatic         94        126  166.0     6.2
## 431             no male asymptomatic         94        126  166.0     6.2
## 432             no male asymptomatic         94        126  166.0     6.2
## 433             no male asymptomatic         94        126  202.0     0.0
## 434             no male asymptomatic         94        126  202.0     0.0
## 435             no male asymptomatic         94        126  202.0     0.0
## 436             no male asymptomatic         94        126  202.0     0.0
## 437             no male asymptomatic         94        126  202.0     0.0
## 438             no male asymptomatic         94        126  202.0     0.0
## 439             no male asymptomatic         94        126  202.0     0.0
## 440             no male asymptomatic         94        126  202.0     0.0
## 441             no male asymptomatic         94        126  202.0     0.0
## 442             no male asymptomatic         94        126  202.0     0.0
## 443             no male asymptomatic         94        126  202.0     0.0
## 444             no male asymptomatic         94        126  202.0     0.0
## 445             no male asymptomatic         94        126  202.0     0.0
## 446             no male asymptomatic         94        126  202.0     0.0
## 447             no male asymptomatic         94        126  202.0     0.0
## 448             no male asymptomatic         94        126  202.0     0.0
## 449             no male asymptomatic         94        126  202.0     0.0
## 450             no male asymptomatic         94        126  202.0     0.0
## 451             no male asymptomatic         94        126  202.0     0.0
## 452             no male asymptomatic         94        126  202.0     0.0
## 453             no male asymptomatic         94        126  202.0     0.0
## 454             no male asymptomatic         94        126  202.0     0.0
## 455             no male asymptomatic         94        126  202.0     0.0
## 456             no male asymptomatic         94        126  202.0     0.0
## 457             no male asymptomatic         94        126  202.0     0.0
## 458             no male asymptomatic         94        126  202.0     0.0
## 459             no male asymptomatic         94        126  202.0     0.0
## 460             no male asymptomatic         94        126  202.0     0.8
## 461             no male asymptomatic         94        126  202.0     0.8
## 462             no male asymptomatic         94        126  202.0     0.8
## 463             no male asymptomatic         94        126  202.0     0.8
## 464             no male asymptomatic         94        126  202.0     0.8
## 465             no male asymptomatic         94        126  202.0     0.8
## 466             no male asymptomatic         94        126  202.0     0.8
## 467             no male asymptomatic         94        126  202.0     0.8
## 468             no male asymptomatic         94        126  202.0     0.8
## 469             no male asymptomatic         94        126  202.0     0.8
## 470             no male asymptomatic         94        126  202.0     0.8
## 471             no male asymptomatic         94        126  202.0     0.8
## 472             no male asymptomatic         94        126  202.0     0.8
## 473             no male asymptomatic         94        126  202.0     0.8
## 474             no male asymptomatic         94        126  202.0     0.8
## 475             no male asymptomatic         94        126  202.0     0.8
## 476             no male asymptomatic         94        126  202.0     0.8
## 477             no male asymptomatic         94        126  202.0     0.8
## 478             no male asymptomatic         94        126  202.0     0.8
## 479             no male asymptomatic         94        126  202.0     0.8
## 480             no male asymptomatic         94        126  202.0     0.8
## 481             no male asymptomatic         94        126  202.0     0.8
## 482             no male asymptomatic         94        126  202.0     0.8
## 483             no male asymptomatic         94        126  202.0     0.8
## 484             no male asymptomatic         94        126  202.0     0.8
## 485             no male asymptomatic         94        126  202.0     0.8
## 486             no male asymptomatic         94        126  202.0     0.8
## 487             no male asymptomatic         94        126  202.0     1.6
## 488             no male asymptomatic         94        126  202.0     1.6
## 489             no male asymptomatic         94        126  202.0     1.6
## 490             no male asymptomatic         94        126  202.0     1.6
## 491             no male asymptomatic         94        126  202.0     1.6
## 492             no male asymptomatic         94        126  202.0     1.6
## 493             no male asymptomatic         94        126  202.0     1.6
## 494             no male asymptomatic         94        126  202.0     1.6
## 495             no male asymptomatic         94        126  202.0     1.6
## 496             no male asymptomatic         94        126  202.0     1.6
## 497             no male asymptomatic         94        126  202.0     1.6
## 498             no male asymptomatic         94        126  202.0     1.6
## 499             no male asymptomatic         94        126  202.0     1.6
## 500             no male asymptomatic         94        126  202.0     1.6
## 501             no male asymptomatic         94        126  202.0     1.6
## 502             no male asymptomatic         94        126  202.0     1.6
## 503             no male asymptomatic         94        126  202.0     1.6
## 504             no male asymptomatic         94        126  202.0     1.6
## 505             no male asymptomatic         94        126  202.0     1.6
## 506             no male asymptomatic         94        126  202.0     1.6
## 507             no male asymptomatic         94        126  202.0     1.6
## 508             no male asymptomatic         94        126  202.0     1.6
## 509             no male asymptomatic         94        126  202.0     1.6
## 510             no male asymptomatic         94        126  202.0     1.6
## 511             no male asymptomatic         94        126  202.0     1.6
## 512             no male asymptomatic         94        126  202.0     1.6
## 513             no male asymptomatic         94        126  202.0     1.6
## 514             no male asymptomatic         94        126  202.0     6.2
## 515             no male asymptomatic         94        126  202.0     6.2
## 516             no male asymptomatic         94        126  202.0     6.2
## 517             no male asymptomatic         94        126  202.0     6.2
## 518             no male asymptomatic         94        126  202.0     6.2
## 519             no male asymptomatic         94        126  202.0     6.2
## 520             no male asymptomatic         94        126  202.0     6.2
## 521             no male asymptomatic         94        126  202.0     6.2
## 522             no male asymptomatic         94        126  202.0     6.2
## 523             no male asymptomatic         94        126  202.0     6.2
## 524             no male asymptomatic         94        126  202.0     6.2
## 525             no male asymptomatic         94        126  202.0     6.2
## 526             no male asymptomatic         94        126  202.0     6.2
## 527             no male asymptomatic         94        126  202.0     6.2
## 528             no male asymptomatic         94        126  202.0     6.2
## 529             no male asymptomatic         94        126  202.0     6.2
## 530             no male asymptomatic         94        126  202.0     6.2
## 531             no male asymptomatic         94        126  202.0     6.2
## 532             no male asymptomatic         94        126  202.0     6.2
## 533             no male asymptomatic         94        126  202.0     6.2
## 534             no male asymptomatic         94        126  202.0     6.2
## 535             no male asymptomatic         94        126  202.0     6.2
## 536             no male asymptomatic         94        126  202.0     6.2
## 537             no male asymptomatic         94        126  202.0     6.2
## 538             no male asymptomatic         94        126  202.0     6.2
## 539             no male asymptomatic         94        126  202.0     6.2
## 540             no male asymptomatic         94        126  202.0     6.2
## 541             no male asymptomatic         94        213   71.0     0.0
## 542             no male asymptomatic         94        213   71.0     0.0
## 543             no male asymptomatic         94        213   71.0     0.0
## 544             no male asymptomatic         94        213   71.0     0.0
## 545             no male asymptomatic         94        213   71.0     0.0
## 546             no male asymptomatic         94        213   71.0     0.0
## 547             no male asymptomatic         94        213   71.0     0.0
## 548             no male asymptomatic         94        213   71.0     0.0
## 549             no male asymptomatic         94        213   71.0     0.0
## 550             no male asymptomatic         94        213   71.0     0.0
## 551             no male asymptomatic         94        213   71.0     0.0
## 552             no male asymptomatic         94        213   71.0     0.0
## 553             no male asymptomatic         94        213   71.0     0.0
## 554             no male asymptomatic         94        213   71.0     0.0
## 555             no male asymptomatic         94        213   71.0     0.0
## 556             no male asymptomatic         94        213   71.0     0.0
## 557             no male asymptomatic         94        213   71.0     0.0
## 558             no male asymptomatic         94        213   71.0     0.0
## 559             no male asymptomatic         94        213   71.0     0.0
## 560             no male asymptomatic         94        213   71.0     0.0
## 561             no male asymptomatic         94        213   71.0     0.0
## 562             no male asymptomatic         94        213   71.0     0.0
## 563             no male asymptomatic         94        213   71.0     0.0
## 564             no male asymptomatic         94        213   71.0     0.0
## 565             no male asymptomatic         94        213   71.0     0.0
## 566             no male asymptomatic         94        213   71.0     0.0
## 567             no male asymptomatic         94        213   71.0     0.0
## 568             no male asymptomatic         94        213   71.0     0.8
## 569             no male asymptomatic         94        213   71.0     0.8
## 570             no male asymptomatic         94        213   71.0     0.8
## 571             no male asymptomatic         94        213   71.0     0.8
## 572             no male asymptomatic         94        213   71.0     0.8
## 573             no male asymptomatic         94        213   71.0     0.8
## 574             no male asymptomatic         94        213   71.0     0.8
## 575             no male asymptomatic         94        213   71.0     0.8
## 576             no male asymptomatic         94        213   71.0     0.8
## 577             no male asymptomatic         94        213   71.0     0.8
## 578             no male asymptomatic         94        213   71.0     0.8
## 579             no male asymptomatic         94        213   71.0     0.8
## 580             no male asymptomatic         94        213   71.0     0.8
## 581             no male asymptomatic         94        213   71.0     0.8
## 582             no male asymptomatic         94        213   71.0     0.8
## 583             no male asymptomatic         94        213   71.0     0.8
## 584             no male asymptomatic         94        213   71.0     0.8
## 585             no male asymptomatic         94        213   71.0     0.8
## 586             no male asymptomatic         94        213   71.0     0.8
## 587             no male asymptomatic         94        213   71.0     0.8
## 588             no male asymptomatic         94        213   71.0     0.8
## 589             no male asymptomatic         94        213   71.0     0.8
## 590             no male asymptomatic         94        213   71.0     0.8
## 591             no male asymptomatic         94        213   71.0     0.8
## 592             no male asymptomatic         94        213   71.0     0.8
## 593             no male asymptomatic         94        213   71.0     0.8
## 594             no male asymptomatic         94        213   71.0     0.8
## 595             no male asymptomatic         94        213   71.0     1.6
## 596             no male asymptomatic         94        213   71.0     1.6
## 597             no male asymptomatic         94        213   71.0     1.6
## 598             no male asymptomatic         94        213   71.0     1.6
## 599             no male asymptomatic         94        213   71.0     1.6
## 600             no male asymptomatic         94        213   71.0     1.6
## 601             no male asymptomatic         94        213   71.0     1.6
## 602             no male asymptomatic         94        213   71.0     1.6
## 603             no male asymptomatic         94        213   71.0     1.6
## 604             no male asymptomatic         94        213   71.0     1.6
## 605             no male asymptomatic         94        213   71.0     1.6
## 606             no male asymptomatic         94        213   71.0     1.6
## 607             no male asymptomatic         94        213   71.0     1.6
## 608             no male asymptomatic         94        213   71.0     1.6
## 609             no male asymptomatic         94        213   71.0     1.6
## 610             no male asymptomatic         94        213   71.0     1.6
## 611             no male asymptomatic         94        213   71.0     1.6
## 612             no male asymptomatic         94        213   71.0     1.6
## 613             no male asymptomatic         94        213   71.0     1.6
## 614             no male asymptomatic         94        213   71.0     1.6
## 615             no male asymptomatic         94        213   71.0     1.6
## 616             no male asymptomatic         94        213   71.0     1.6
## 617             no male asymptomatic         94        213   71.0     1.6
## 618             no male asymptomatic         94        213   71.0     1.6
## 619             no male asymptomatic         94        213   71.0     1.6
## 620             no male asymptomatic         94        213   71.0     1.6
## 621             no male asymptomatic         94        213   71.0     1.6
## 622             no male asymptomatic         94        213   71.0     6.2
## 623             no male asymptomatic         94        213   71.0     6.2
## 624             no male asymptomatic         94        213   71.0     6.2
## 625             no male asymptomatic         94        213   71.0     6.2
## 626             no male asymptomatic         94        213   71.0     6.2
## 627             no male asymptomatic         94        213   71.0     6.2
## 628             no male asymptomatic         94        213   71.0     6.2
## 629             no male asymptomatic         94        213   71.0     6.2
## 630             no male asymptomatic         94        213   71.0     6.2
## 631             no male asymptomatic         94        213   71.0     6.2
## 632             no male asymptomatic         94        213   71.0     6.2
## 633             no male asymptomatic         94        213   71.0     6.2
## 634             no male asymptomatic         94        213   71.0     6.2
## 635             no male asymptomatic         94        213   71.0     6.2
## 636             no male asymptomatic         94        213   71.0     6.2
## 637             no male asymptomatic         94        213   71.0     6.2
## 638             no male asymptomatic         94        213   71.0     6.2
## 639             no male asymptomatic         94        213   71.0     6.2
## 640             no male asymptomatic         94        213   71.0     6.2
## 641             no male asymptomatic         94        213   71.0     6.2
## 642             no male asymptomatic         94        213   71.0     6.2
## 643             no male asymptomatic         94        213   71.0     6.2
## 644             no male asymptomatic         94        213   71.0     6.2
## 645             no male asymptomatic         94        213   71.0     6.2
## 646             no male asymptomatic         94        213   71.0     6.2
## 647             no male asymptomatic         94        213   71.0     6.2
## 648             no male asymptomatic         94        213   71.0     6.2
## 649             no male asymptomatic         94        213  133.0     0.0
## 650             no male asymptomatic         94        213  133.0     0.0
## 651             no male asymptomatic         94        213  133.0     0.0
## 652             no male asymptomatic         94        213  133.0     0.0
## 653             no male asymptomatic         94        213  133.0     0.0
## 654             no male asymptomatic         94        213  133.0     0.0
## 655             no male asymptomatic         94        213  133.0     0.0
## 656             no male asymptomatic         94        213  133.0     0.0
## 657             no male asymptomatic         94        213  133.0     0.0
## 658             no male asymptomatic         94        213  133.0     0.0
## 659             no male asymptomatic         94        213  133.0     0.0
## 660             no male asymptomatic         94        213  133.0     0.0
## 661             no male asymptomatic         94        213  133.0     0.0
## 662             no male asymptomatic         94        213  133.0     0.0
## 663             no male asymptomatic         94        213  133.0     0.0
## 664             no male asymptomatic         94        213  133.0     0.0
## 665             no male asymptomatic         94        213  133.0     0.0
## 666             no male asymptomatic         94        213  133.0     0.0
## 667             no male asymptomatic         94        213  133.0     0.0
## 668             no male asymptomatic         94        213  133.0     0.0
## 669             no male asymptomatic         94        213  133.0     0.0
## 670             no male asymptomatic         94        213  133.0     0.0
## 671             no male asymptomatic         94        213  133.0     0.0
## 672             no male asymptomatic         94        213  133.0     0.0
## 673             no male asymptomatic         94        213  133.0     0.0
## 674             no male asymptomatic         94        213  133.0     0.0
## 675             no male asymptomatic         94        213  133.0     0.0
## 676             no male asymptomatic         94        213  133.0     0.8
## 677             no male asymptomatic         94        213  133.0     0.8
## 678             no male asymptomatic         94        213  133.0     0.8
## 679             no male asymptomatic         94        213  133.0     0.8
## 680             no male asymptomatic         94        213  133.0     0.8
## 681             no male asymptomatic         94        213  133.0     0.8
## 682             no male asymptomatic         94        213  133.0     0.8
## 683             no male asymptomatic         94        213  133.0     0.8
## 684             no male asymptomatic         94        213  133.0     0.8
## 685             no male asymptomatic         94        213  133.0     0.8
## 686             no male asymptomatic         94        213  133.0     0.8
## 687             no male asymptomatic         94        213  133.0     0.8
## 688             no male asymptomatic         94        213  133.0     0.8
## 689             no male asymptomatic         94        213  133.0     0.8
## 690             no male asymptomatic         94        213  133.0     0.8
## 691             no male asymptomatic         94        213  133.0     0.8
## 692             no male asymptomatic         94        213  133.0     0.8
## 693             no male asymptomatic         94        213  133.0     0.8
## 694             no male asymptomatic         94        213  133.0     0.8
## 695             no male asymptomatic         94        213  133.0     0.8
## 696             no male asymptomatic         94        213  133.0     0.8
## 697             no male asymptomatic         94        213  133.0     0.8
## 698             no male asymptomatic         94        213  133.0     0.8
## 699             no male asymptomatic         94        213  133.0     0.8
## 700             no male asymptomatic         94        213  133.0     0.8
## 701             no male asymptomatic         94        213  133.0     0.8
## 702             no male asymptomatic         94        213  133.0     0.8
## 703             no male asymptomatic         94        213  133.0     1.6
## 704             no male asymptomatic         94        213  133.0     1.6
## 705             no male asymptomatic         94        213  133.0     1.6
## 706             no male asymptomatic         94        213  133.0     1.6
## 707             no male asymptomatic         94        213  133.0     1.6
## 708             no male asymptomatic         94        213  133.0     1.6
## 709             no male asymptomatic         94        213  133.0     1.6
## 710             no male asymptomatic         94        213  133.0     1.6
## 711             no male asymptomatic         94        213  133.0     1.6
## 712             no male asymptomatic         94        213  133.0     1.6
## 713             no male asymptomatic         94        213  133.0     1.6
## 714             no male asymptomatic         94        213  133.0     1.6
## 715             no male asymptomatic         94        213  133.0     1.6
## 716             no male asymptomatic         94        213  133.0     1.6
## 717             no male asymptomatic         94        213  133.0     1.6
## 718             no male asymptomatic         94        213  133.0     1.6
## 719             no male asymptomatic         94        213  133.0     1.6
## 720             no male asymptomatic         94        213  133.0     1.6
## 721             no male asymptomatic         94        213  133.0     1.6
## 722             no male asymptomatic         94        213  133.0     1.6
## 723             no male asymptomatic         94        213  133.0     1.6
## 724             no male asymptomatic         94        213  133.0     1.6
## 725             no male asymptomatic         94        213  133.0     1.6
## 726             no male asymptomatic         94        213  133.0     1.6
## 727             no male asymptomatic         94        213  133.0     1.6
## 728             no male asymptomatic         94        213  133.0     1.6
## 729             no male asymptomatic         94        213  133.0     1.6
## 730             no male asymptomatic         94        213  133.0     6.2
## 731             no male asymptomatic         94        213  133.0     6.2
## 732             no male asymptomatic         94        213  133.0     6.2
## 733             no male asymptomatic         94        213  133.0     6.2
## 734             no male asymptomatic         94        213  133.0     6.2
## 735             no male asymptomatic         94        213  133.0     6.2
## 736             no male asymptomatic         94        213  133.0     6.2
## 737             no male asymptomatic         94        213  133.0     6.2
## 738             no male asymptomatic         94        213  133.0     6.2
## 739             no male asymptomatic         94        213  133.0     6.2
## 740             no male asymptomatic         94        213  133.0     6.2
## 741             no male asymptomatic         94        213  133.0     6.2
## 742             no male asymptomatic         94        213  133.0     6.2
## 743             no male asymptomatic         94        213  133.0     6.2
## 744             no male asymptomatic         94        213  133.0     6.2
## 745             no male asymptomatic         94        213  133.0     6.2
## 746             no male asymptomatic         94        213  133.0     6.2
## 747             no male asymptomatic         94        213  133.0     6.2
## 748             no male asymptomatic         94        213  133.0     6.2
## 749             no male asymptomatic         94        213  133.0     6.2
## 750             no male asymptomatic         94        213  133.0     6.2
## 751             no male asymptomatic         94        213  133.0     6.2
## 752             no male asymptomatic         94        213  133.0     6.2
## 753             no male asymptomatic         94        213  133.0     6.2
## 754             no male asymptomatic         94        213  133.0     6.2
## 755             no male asymptomatic         94        213  133.0     6.2
## 756             no male asymptomatic         94        213  133.0     6.2
## 757             no male asymptomatic         94        213  153.5     0.0
## 758             no male asymptomatic         94        213  153.5     0.0
## 759             no male asymptomatic         94        213  153.5     0.0
## 760             no male asymptomatic         94        213  153.5     0.0
## 761             no male asymptomatic         94        213  153.5     0.0
## 762             no male asymptomatic         94        213  153.5     0.0
## 763             no male asymptomatic         94        213  153.5     0.0
## 764             no male asymptomatic         94        213  153.5     0.0
## 765             no male asymptomatic         94        213  153.5     0.0
## 766             no male asymptomatic         94        213  153.5     0.0
## 767             no male asymptomatic         94        213  153.5     0.0
## 768             no male asymptomatic         94        213  153.5     0.0
## 769             no male asymptomatic         94        213  153.5     0.0
## 770             no male asymptomatic         94        213  153.5     0.0
## 771             no male asymptomatic         94        213  153.5     0.0
## 772             no male asymptomatic         94        213  153.5     0.0
## 773             no male asymptomatic         94        213  153.5     0.0
## 774             no male asymptomatic         94        213  153.5     0.0
## 775             no male asymptomatic         94        213  153.5     0.0
## 776             no male asymptomatic         94        213  153.5     0.0
## 777             no male asymptomatic         94        213  153.5     0.0
## 778             no male asymptomatic         94        213  153.5     0.0
## 779             no male asymptomatic         94        213  153.5     0.0
## 780             no male asymptomatic         94        213  153.5     0.0
## 781             no male asymptomatic         94        213  153.5     0.0
## 782             no male asymptomatic         94        213  153.5     0.0
## 783             no male asymptomatic         94        213  153.5     0.0
## 784             no male asymptomatic         94        213  153.5     0.8
## 785             no male asymptomatic         94        213  153.5     0.8
## 786             no male asymptomatic         94        213  153.5     0.8
## 787             no male asymptomatic         94        213  153.5     0.8
## 788             no male asymptomatic         94        213  153.5     0.8
## 789             no male asymptomatic         94        213  153.5     0.8
## 790             no male asymptomatic         94        213  153.5     0.8
## 791             no male asymptomatic         94        213  153.5     0.8
## 792             no male asymptomatic         94        213  153.5     0.8
## 793             no male asymptomatic         94        213  153.5     0.8
## 794             no male asymptomatic         94        213  153.5     0.8
## 795             no male asymptomatic         94        213  153.5     0.8
## 796             no male asymptomatic         94        213  153.5     0.8
## 797             no male asymptomatic         94        213  153.5     0.8
## 798             no male asymptomatic         94        213  153.5     0.8
## 799             no male asymptomatic         94        213  153.5     0.8
## 800             no male asymptomatic         94        213  153.5     0.8
## 801             no male asymptomatic         94        213  153.5     0.8
## 802             no male asymptomatic         94        213  153.5     0.8
## 803             no male asymptomatic         94        213  153.5     0.8
## 804             no male asymptomatic         94        213  153.5     0.8
## 805             no male asymptomatic         94        213  153.5     0.8
## 806             no male asymptomatic         94        213  153.5     0.8
## 807             no male asymptomatic         94        213  153.5     0.8
## 808             no male asymptomatic         94        213  153.5     0.8
## 809             no male asymptomatic         94        213  153.5     0.8
## 810             no male asymptomatic         94        213  153.5     0.8
## 811             no male asymptomatic         94        213  153.5     1.6
## 812             no male asymptomatic         94        213  153.5     1.6
## 813             no male asymptomatic         94        213  153.5     1.6
## 814             no male asymptomatic         94        213  153.5     1.6
## 815             no male asymptomatic         94        213  153.5     1.6
## 816             no male asymptomatic         94        213  153.5     1.6
## 817             no male asymptomatic         94        213  153.5     1.6
## 818             no male asymptomatic         94        213  153.5     1.6
## 819             no male asymptomatic         94        213  153.5     1.6
## 820             no male asymptomatic         94        213  153.5     1.6
## 821             no male asymptomatic         94        213  153.5     1.6
## 822             no male asymptomatic         94        213  153.5     1.6
## 823             no male asymptomatic         94        213  153.5     1.6
## 824             no male asymptomatic         94        213  153.5     1.6
## 825             no male asymptomatic         94        213  153.5     1.6
## 826             no male asymptomatic         94        213  153.5     1.6
## 827             no male asymptomatic         94        213  153.5     1.6
## 828             no male asymptomatic         94        213  153.5     1.6
## 829             no male asymptomatic         94        213  153.5     1.6
## 830             no male asymptomatic         94        213  153.5     1.6
## 831             no male asymptomatic         94        213  153.5     1.6
## 832             no male asymptomatic         94        213  153.5     1.6
## 833             no male asymptomatic         94        213  153.5     1.6
## 834             no male asymptomatic         94        213  153.5     1.6
## 835             no male asymptomatic         94        213  153.5     1.6
## 836             no male asymptomatic         94        213  153.5     1.6
## 837             no male asymptomatic         94        213  153.5     1.6
## 838             no male asymptomatic         94        213  153.5     6.2
## 839             no male asymptomatic         94        213  153.5     6.2
## 840             no male asymptomatic         94        213  153.5     6.2
## 841             no male asymptomatic         94        213  153.5     6.2
## 842             no male asymptomatic         94        213  153.5     6.2
## 843             no male asymptomatic         94        213  153.5     6.2
## 844             no male asymptomatic         94        213  153.5     6.2
## 845             no male asymptomatic         94        213  153.5     6.2
## 846             no male asymptomatic         94        213  153.5     6.2
## 847             no male asymptomatic         94        213  153.5     6.2
## 848             no male asymptomatic         94        213  153.5     6.2
## 849             no male asymptomatic         94        213  153.5     6.2
## 850             no male asymptomatic         94        213  153.5     6.2
## 851             no male asymptomatic         94        213  153.5     6.2
## 852             no male asymptomatic         94        213  153.5     6.2
## 853             no male asymptomatic         94        213  153.5     6.2
## 854             no male asymptomatic         94        213  153.5     6.2
## 855             no male asymptomatic         94        213  153.5     6.2
## 856             no male asymptomatic         94        213  153.5     6.2
## 857             no male asymptomatic         94        213  153.5     6.2
## 858             no male asymptomatic         94        213  153.5     6.2
## 859             no male asymptomatic         94        213  153.5     6.2
## 860             no male asymptomatic         94        213  153.5     6.2
## 861             no male asymptomatic         94        213  153.5     6.2
## 862             no male asymptomatic         94        213  153.5     6.2
## 863             no male asymptomatic         94        213  153.5     6.2
## 864             no male asymptomatic         94        213  153.5     6.2
## 865             no male asymptomatic         94        213  166.0     0.0
## 866             no male asymptomatic         94        213  166.0     0.0
## 867             no male asymptomatic         94        213  166.0     0.0
## 868             no male asymptomatic         94        213  166.0     0.0
## 869             no male asymptomatic         94        213  166.0     0.0
## 870             no male asymptomatic         94        213  166.0     0.0
## 871             no male asymptomatic         94        213  166.0     0.0
## 872             no male asymptomatic         94        213  166.0     0.0
## 873             no male asymptomatic         94        213  166.0     0.0
## 874             no male asymptomatic         94        213  166.0     0.0
## 875             no male asymptomatic         94        213  166.0     0.0
## 876             no male asymptomatic         94        213  166.0     0.0
## 877             no male asymptomatic         94        213  166.0     0.0
## 878             no male asymptomatic         94        213  166.0     0.0
## 879             no male asymptomatic         94        213  166.0     0.0
## 880             no male asymptomatic         94        213  166.0     0.0
## 881             no male asymptomatic         94        213  166.0     0.0
## 882             no male asymptomatic         94        213  166.0     0.0
## 883             no male asymptomatic         94        213  166.0     0.0
## 884             no male asymptomatic         94        213  166.0     0.0
## 885             no male asymptomatic         94        213  166.0     0.0
## 886             no male asymptomatic         94        213  166.0     0.0
## 887             no male asymptomatic         94        213  166.0     0.0
## 888             no male asymptomatic         94        213  166.0     0.0
## 889             no male asymptomatic         94        213  166.0     0.0
## 890             no male asymptomatic         94        213  166.0     0.0
## 891             no male asymptomatic         94        213  166.0     0.0
## 892             no male asymptomatic         94        213  166.0     0.8
## 893             no male asymptomatic         94        213  166.0     0.8
## 894             no male asymptomatic         94        213  166.0     0.8
## 895             no male asymptomatic         94        213  166.0     0.8
## 896             no male asymptomatic         94        213  166.0     0.8
## 897             no male asymptomatic         94        213  166.0     0.8
## 898             no male asymptomatic         94        213  166.0     0.8
## 899             no male asymptomatic         94        213  166.0     0.8
## 900             no male asymptomatic         94        213  166.0     0.8
## 901             no male asymptomatic         94        213  166.0     0.8
## 902             no male asymptomatic         94        213  166.0     0.8
## 903             no male asymptomatic         94        213  166.0     0.8
## 904             no male asymptomatic         94        213  166.0     0.8
## 905             no male asymptomatic         94        213  166.0     0.8
## 906             no male asymptomatic         94        213  166.0     0.8
## 907             no male asymptomatic         94        213  166.0     0.8
## 908             no male asymptomatic         94        213  166.0     0.8
## 909             no male asymptomatic         94        213  166.0     0.8
## 910             no male asymptomatic         94        213  166.0     0.8
## 911             no male asymptomatic         94        213  166.0     0.8
## 912             no male asymptomatic         94        213  166.0     0.8
## 913             no male asymptomatic         94        213  166.0     0.8
## 914             no male asymptomatic         94        213  166.0     0.8
## 915             no male asymptomatic         94        213  166.0     0.8
## 916             no male asymptomatic         94        213  166.0     0.8
## 917             no male asymptomatic         94        213  166.0     0.8
## 918             no male asymptomatic         94        213  166.0     0.8
## 919             no male asymptomatic         94        213  166.0     1.6
## 920             no male asymptomatic         94        213  166.0     1.6
## 921             no male asymptomatic         94        213  166.0     1.6
## 922             no male asymptomatic         94        213  166.0     1.6
## 923             no male asymptomatic         94        213  166.0     1.6
## 924             no male asymptomatic         94        213  166.0     1.6
## 925             no male asymptomatic         94        213  166.0     1.6
## 926             no male asymptomatic         94        213  166.0     1.6
## 927             no male asymptomatic         94        213  166.0     1.6
## 928             no male asymptomatic         94        213  166.0     1.6
## 929             no male asymptomatic         94        213  166.0     1.6
## 930             no male asymptomatic         94        213  166.0     1.6
## 931             no male asymptomatic         94        213  166.0     1.6
## 932             no male asymptomatic         94        213  166.0     1.6
## 933             no male asymptomatic         94        213  166.0     1.6
## 934             no male asymptomatic         94        213  166.0     1.6
## 935             no male asymptomatic         94        213  166.0     1.6
## 936             no male asymptomatic         94        213  166.0     1.6
## 937             no male asymptomatic         94        213  166.0     1.6
## 938             no male asymptomatic         94        213  166.0     1.6
## 939             no male asymptomatic         94        213  166.0     1.6
## 940             no male asymptomatic         94        213  166.0     1.6
## 941             no male asymptomatic         94        213  166.0     1.6
## 942             no male asymptomatic         94        213  166.0     1.6
## 943             no male asymptomatic         94        213  166.0     1.6
## 944             no male asymptomatic         94        213  166.0     1.6
## 945             no male asymptomatic         94        213  166.0     1.6
## 946             no male asymptomatic         94        213  166.0     6.2
## 947             no male asymptomatic         94        213  166.0     6.2
## 948             no male asymptomatic         94        213  166.0     6.2
## 949             no male asymptomatic         94        213  166.0     6.2
## 950             no male asymptomatic         94        213  166.0     6.2
## 951             no male asymptomatic         94        213  166.0     6.2
## 952             no male asymptomatic         94        213  166.0     6.2
## 953             no male asymptomatic         94        213  166.0     6.2
## 954             no male asymptomatic         94        213  166.0     6.2
## 955             no male asymptomatic         94        213  166.0     6.2
## 956             no male asymptomatic         94        213  166.0     6.2
## 957             no male asymptomatic         94        213  166.0     6.2
## 958             no male asymptomatic         94        213  166.0     6.2
## 959             no male asymptomatic         94        213  166.0     6.2
## 960             no male asymptomatic         94        213  166.0     6.2
## 961             no male asymptomatic         94        213  166.0     6.2
## 962             no male asymptomatic         94        213  166.0     6.2
## 963             no male asymptomatic         94        213  166.0     6.2
## 964             no male asymptomatic         94        213  166.0     6.2
## 965             no male asymptomatic         94        213  166.0     6.2
## 966             no male asymptomatic         94        213  166.0     6.2
## 967             no male asymptomatic         94        213  166.0     6.2
## 968             no male asymptomatic         94        213  166.0     6.2
## 969             no male asymptomatic         94        213  166.0     6.2
## 970             no male asymptomatic         94        213  166.0     6.2
## 971             no male asymptomatic         94        213  166.0     6.2
## 972             no male asymptomatic         94        213  166.0     6.2
## 973             no male asymptomatic         94        213  202.0     0.0
## 974             no male asymptomatic         94        213  202.0     0.0
## 975             no male asymptomatic         94        213  202.0     0.0
## 976             no male asymptomatic         94        213  202.0     0.0
## 977             no male asymptomatic         94        213  202.0     0.0
## 978             no male asymptomatic         94        213  202.0     0.0
## 979             no male asymptomatic         94        213  202.0     0.0
## 980             no male asymptomatic         94        213  202.0     0.0
## 981             no male asymptomatic         94        213  202.0     0.0
## 982             no male asymptomatic         94        213  202.0     0.0
## 983             no male asymptomatic         94        213  202.0     0.0
## 984             no male asymptomatic         94        213  202.0     0.0
## 985             no male asymptomatic         94        213  202.0     0.0
## 986             no male asymptomatic         94        213  202.0     0.0
## 987             no male asymptomatic         94        213  202.0     0.0
## 988             no male asymptomatic         94        213  202.0     0.0
## 989             no male asymptomatic         94        213  202.0     0.0
## 990             no male asymptomatic         94        213  202.0     0.0
## 991             no male asymptomatic         94        213  202.0     0.0
## 992             no male asymptomatic         94        213  202.0     0.0
## 993             no male asymptomatic         94        213  202.0     0.0
## 994             no male asymptomatic         94        213  202.0     0.0
## 995             no male asymptomatic         94        213  202.0     0.0
## 996             no male asymptomatic         94        213  202.0     0.0
## 997             no male asymptomatic         94        213  202.0     0.0
## 998             no male asymptomatic         94        213  202.0     0.0
## 999             no male asymptomatic         94        213  202.0     0.0
## 1000            no male asymptomatic         94        213  202.0     0.8
## 1001            no male asymptomatic         94        213  202.0     0.8
## 1002            no male asymptomatic         94        213  202.0     0.8
## 1003            no male asymptomatic         94        213  202.0     0.8
## 1004            no male asymptomatic         94        213  202.0     0.8
## 1005            no male asymptomatic         94        213  202.0     0.8
## 1006            no male asymptomatic         94        213  202.0     0.8
## 1007            no male asymptomatic         94        213  202.0     0.8
## 1008            no male asymptomatic         94        213  202.0     0.8
## 1009            no male asymptomatic         94        213  202.0     0.8
## 1010            no male asymptomatic         94        213  202.0     0.8
## 1011            no male asymptomatic         94        213  202.0     0.8
## 1012            no male asymptomatic         94        213  202.0     0.8
## 1013            no male asymptomatic         94        213  202.0     0.8
## 1014            no male asymptomatic         94        213  202.0     0.8
## 1015            no male asymptomatic         94        213  202.0     0.8
## 1016            no male asymptomatic         94        213  202.0     0.8
## 1017            no male asymptomatic         94        213  202.0     0.8
## 1018            no male asymptomatic         94        213  202.0     0.8
## 1019            no male asymptomatic         94        213  202.0     0.8
## 1020            no male asymptomatic         94        213  202.0     0.8
## 1021            no male asymptomatic         94        213  202.0     0.8
## 1022            no male asymptomatic         94        213  202.0     0.8
## 1023            no male asymptomatic         94        213  202.0     0.8
## 1024            no male asymptomatic         94        213  202.0     0.8
## 1025            no male asymptomatic         94        213  202.0     0.8
## 1026            no male asymptomatic         94        213  202.0     0.8
## 1027            no male asymptomatic         94        213  202.0     1.6
## 1028            no male asymptomatic         94        213  202.0     1.6
## 1029            no male asymptomatic         94        213  202.0     1.6
## 1030            no male asymptomatic         94        213  202.0     1.6
## 1031            no male asymptomatic         94        213  202.0     1.6
## 1032            no male asymptomatic         94        213  202.0     1.6
## 1033            no male asymptomatic         94        213  202.0     1.6
## 1034            no male asymptomatic         94        213  202.0     1.6
## 1035            no male asymptomatic         94        213  202.0     1.6
## 1036            no male asymptomatic         94        213  202.0     1.6
## 1037            no male asymptomatic         94        213  202.0     1.6
## 1038            no male asymptomatic         94        213  202.0     1.6
## 1039            no male asymptomatic         94        213  202.0     1.6
## 1040            no male asymptomatic         94        213  202.0     1.6
## 1041            no male asymptomatic         94        213  202.0     1.6
## 1042            no male asymptomatic         94        213  202.0     1.6
## 1043            no male asymptomatic         94        213  202.0     1.6
## 1044            no male asymptomatic         94        213  202.0     1.6
## 1045            no male asymptomatic         94        213  202.0     1.6
## 1046            no male asymptomatic         94        213  202.0     1.6
## 1047            no male asymptomatic         94        213  202.0     1.6
## 1048            no male asymptomatic         94        213  202.0     1.6
## 1049            no male asymptomatic         94        213  202.0     1.6
## 1050            no male asymptomatic         94        213  202.0     1.6
## 1051            no male asymptomatic         94        213  202.0     1.6
## 1052            no male asymptomatic         94        213  202.0     1.6
## 1053            no male asymptomatic         94        213  202.0     1.6
## 1054            no male asymptomatic         94        213  202.0     6.2
## 1055            no male asymptomatic         94        213  202.0     6.2
## 1056            no male asymptomatic         94        213  202.0     6.2
## 1057            no male asymptomatic         94        213  202.0     6.2
## 1058            no male asymptomatic         94        213  202.0     6.2
## 1059            no male asymptomatic         94        213  202.0     6.2
## 1060            no male asymptomatic         94        213  202.0     6.2
## 1061            no male asymptomatic         94        213  202.0     6.2
## 1062            no male asymptomatic         94        213  202.0     6.2
## 1063            no male asymptomatic         94        213  202.0     6.2
## 1064            no male asymptomatic         94        213  202.0     6.2
## 1065            no male asymptomatic         94        213  202.0     6.2
## 1066            no male asymptomatic         94        213  202.0     6.2
## 1067            no male asymptomatic         94        213  202.0     6.2
## 1068            no male asymptomatic         94        213  202.0     6.2
## 1069            no male asymptomatic         94        213  202.0     6.2
## 1070            no male asymptomatic         94        213  202.0     6.2
## 1071            no male asymptomatic         94        213  202.0     6.2
## 1072            no male asymptomatic         94        213  202.0     6.2
## 1073            no male asymptomatic         94        213  202.0     6.2
## 1074            no male asymptomatic         94        213  202.0     6.2
## 1075            no male asymptomatic         94        213  202.0     6.2
## 1076            no male asymptomatic         94        213  202.0     6.2
## 1077            no male asymptomatic         94        213  202.0     6.2
## 1078            no male asymptomatic         94        213  202.0     6.2
## 1079            no male asymptomatic         94        213  202.0     6.2
## 1080            no male asymptomatic         94        213  202.0     6.2
## 1081            no male asymptomatic         94        245   71.0     0.0
## 1082            no male asymptomatic         94        245   71.0     0.0
## 1083            no male asymptomatic         94        245   71.0     0.0
## 1084            no male asymptomatic         94        245   71.0     0.0
## 1085            no male asymptomatic         94        245   71.0     0.0
## 1086            no male asymptomatic         94        245   71.0     0.0
## 1087            no male asymptomatic         94        245   71.0     0.0
## 1088            no male asymptomatic         94        245   71.0     0.0
## 1089            no male asymptomatic         94        245   71.0     0.0
## 1090            no male asymptomatic         94        245   71.0     0.0
## 1091            no male asymptomatic         94        245   71.0     0.0
## 1092            no male asymptomatic         94        245   71.0     0.0
## 1093            no male asymptomatic         94        245   71.0     0.0
## 1094            no male asymptomatic         94        245   71.0     0.0
## 1095            no male asymptomatic         94        245   71.0     0.0
## 1096            no male asymptomatic         94        245   71.0     0.0
## 1097            no male asymptomatic         94        245   71.0     0.0
## 1098            no male asymptomatic         94        245   71.0     0.0
## 1099            no male asymptomatic         94        245   71.0     0.0
## 1100            no male asymptomatic         94        245   71.0     0.0
## 1101            no male asymptomatic         94        245   71.0     0.0
## 1102            no male asymptomatic         94        245   71.0     0.0
## 1103            no male asymptomatic         94        245   71.0     0.0
## 1104            no male asymptomatic         94        245   71.0     0.0
## 1105            no male asymptomatic         94        245   71.0     0.0
## 1106            no male asymptomatic         94        245   71.0     0.0
## 1107            no male asymptomatic         94        245   71.0     0.0
## 1108            no male asymptomatic         94        245   71.0     0.8
## 1109            no male asymptomatic         94        245   71.0     0.8
## 1110            no male asymptomatic         94        245   71.0     0.8
## 1111            no male asymptomatic         94        245   71.0     0.8
## 1112            no male asymptomatic         94        245   71.0     0.8
## 1113            no male asymptomatic         94        245   71.0     0.8
## 1114            no male asymptomatic         94        245   71.0     0.8
## 1115            no male asymptomatic         94        245   71.0     0.8
## 1116            no male asymptomatic         94        245   71.0     0.8
## 1117            no male asymptomatic         94        245   71.0     0.8
## 1118            no male asymptomatic         94        245   71.0     0.8
## 1119            no male asymptomatic         94        245   71.0     0.8
## 1120            no male asymptomatic         94        245   71.0     0.8
## 1121            no male asymptomatic         94        245   71.0     0.8
## 1122            no male asymptomatic         94        245   71.0     0.8
## 1123            no male asymptomatic         94        245   71.0     0.8
## 1124            no male asymptomatic         94        245   71.0     0.8
## 1125            no male asymptomatic         94        245   71.0     0.8
## 1126            no male asymptomatic         94        245   71.0     0.8
## 1127            no male asymptomatic         94        245   71.0     0.8
## 1128            no male asymptomatic         94        245   71.0     0.8
## 1129            no male asymptomatic         94        245   71.0     0.8
## 1130            no male asymptomatic         94        245   71.0     0.8
## 1131            no male asymptomatic         94        245   71.0     0.8
## 1132            no male asymptomatic         94        245   71.0     0.8
## 1133            no male asymptomatic         94        245   71.0     0.8
## 1134            no male asymptomatic         94        245   71.0     0.8
## 1135            no male asymptomatic         94        245   71.0     1.6
## 1136            no male asymptomatic         94        245   71.0     1.6
## 1137            no male asymptomatic         94        245   71.0     1.6
## 1138            no male asymptomatic         94        245   71.0     1.6
## 1139            no male asymptomatic         94        245   71.0     1.6
## 1140            no male asymptomatic         94        245   71.0     1.6
## 1141            no male asymptomatic         94        245   71.0     1.6
## 1142            no male asymptomatic         94        245   71.0     1.6
## 1143            no male asymptomatic         94        245   71.0     1.6
## 1144            no male asymptomatic         94        245   71.0     1.6
## 1145            no male asymptomatic         94        245   71.0     1.6
## 1146            no male asymptomatic         94        245   71.0     1.6
## 1147            no male asymptomatic         94        245   71.0     1.6
## 1148            no male asymptomatic         94        245   71.0     1.6
## 1149            no male asymptomatic         94        245   71.0     1.6
## 1150            no male asymptomatic         94        245   71.0     1.6
## 1151            no male asymptomatic         94        245   71.0     1.6
## 1152            no male asymptomatic         94        245   71.0     1.6
## 1153            no male asymptomatic         94        245   71.0     1.6
## 1154            no male asymptomatic         94        245   71.0     1.6
## 1155            no male asymptomatic         94        245   71.0     1.6
## 1156            no male asymptomatic         94        245   71.0     1.6
## 1157            no male asymptomatic         94        245   71.0     1.6
## 1158            no male asymptomatic         94        245   71.0     1.6
## 1159            no male asymptomatic         94        245   71.0     1.6
## 1160            no male asymptomatic         94        245   71.0     1.6
## 1161            no male asymptomatic         94        245   71.0     1.6
## 1162            no male asymptomatic         94        245   71.0     6.2
## 1163            no male asymptomatic         94        245   71.0     6.2
## 1164            no male asymptomatic         94        245   71.0     6.2
## 1165            no male asymptomatic         94        245   71.0     6.2
## 1166            no male asymptomatic         94        245   71.0     6.2
## 1167            no male asymptomatic         94        245   71.0     6.2
## 1168            no male asymptomatic         94        245   71.0     6.2
## 1169            no male asymptomatic         94        245   71.0     6.2
## 1170            no male asymptomatic         94        245   71.0     6.2
## 1171            no male asymptomatic         94        245   71.0     6.2
## 1172            no male asymptomatic         94        245   71.0     6.2
## 1173            no male asymptomatic         94        245   71.0     6.2
## 1174            no male asymptomatic         94        245   71.0     6.2
## 1175            no male asymptomatic         94        245   71.0     6.2
## 1176            no male asymptomatic         94        245   71.0     6.2
## 1177            no male asymptomatic         94        245   71.0     6.2
## 1178            no male asymptomatic         94        245   71.0     6.2
## 1179            no male asymptomatic         94        245   71.0     6.2
## 1180            no male asymptomatic         94        245   71.0     6.2
## 1181            no male asymptomatic         94        245   71.0     6.2
## 1182            no male asymptomatic         94        245   71.0     6.2
## 1183            no male asymptomatic         94        245   71.0     6.2
## 1184            no male asymptomatic         94        245   71.0     6.2
## 1185            no male asymptomatic         94        245   71.0     6.2
## 1186            no male asymptomatic         94        245   71.0     6.2
## 1187            no male asymptomatic         94        245   71.0     6.2
## 1188            no male asymptomatic         94        245   71.0     6.2
## 1189            no male asymptomatic         94        245  133.0     0.0
## 1190            no male asymptomatic         94        245  133.0     0.0
## 1191            no male asymptomatic         94        245  133.0     0.0
## 1192            no male asymptomatic         94        245  133.0     0.0
## 1193            no male asymptomatic         94        245  133.0     0.0
## 1194            no male asymptomatic         94        245  133.0     0.0
## 1195            no male asymptomatic         94        245  133.0     0.0
## 1196            no male asymptomatic         94        245  133.0     0.0
## 1197            no male asymptomatic         94        245  133.0     0.0
## 1198            no male asymptomatic         94        245  133.0     0.0
## 1199            no male asymptomatic         94        245  133.0     0.0
## 1200            no male asymptomatic         94        245  133.0     0.0
## 1201            no male asymptomatic         94        245  133.0     0.0
## 1202            no male asymptomatic         94        245  133.0     0.0
## 1203            no male asymptomatic         94        245  133.0     0.0
## 1204            no male asymptomatic         94        245  133.0     0.0
## 1205            no male asymptomatic         94        245  133.0     0.0
## 1206            no male asymptomatic         94        245  133.0     0.0
## 1207            no male asymptomatic         94        245  133.0     0.0
## 1208            no male asymptomatic         94        245  133.0     0.0
## 1209            no male asymptomatic         94        245  133.0     0.0
## 1210            no male asymptomatic         94        245  133.0     0.0
## 1211            no male asymptomatic         94        245  133.0     0.0
## 1212            no male asymptomatic         94        245  133.0     0.0
## 1213            no male asymptomatic         94        245  133.0     0.0
## 1214            no male asymptomatic         94        245  133.0     0.0
## 1215            no male asymptomatic         94        245  133.0     0.0
## 1216            no male asymptomatic         94        245  133.0     0.8
## 1217            no male asymptomatic         94        245  133.0     0.8
## 1218            no male asymptomatic         94        245  133.0     0.8
## 1219            no male asymptomatic         94        245  133.0     0.8
## 1220            no male asymptomatic         94        245  133.0     0.8
## 1221            no male asymptomatic         94        245  133.0     0.8
## 1222            no male asymptomatic         94        245  133.0     0.8
## 1223            no male asymptomatic         94        245  133.0     0.8
## 1224            no male asymptomatic         94        245  133.0     0.8
## 1225            no male asymptomatic         94        245  133.0     0.8
## 1226            no male asymptomatic         94        245  133.0     0.8
## 1227            no male asymptomatic         94        245  133.0     0.8
## 1228            no male asymptomatic         94        245  133.0     0.8
## 1229            no male asymptomatic         94        245  133.0     0.8
## 1230            no male asymptomatic         94        245  133.0     0.8
## 1231            no male asymptomatic         94        245  133.0     0.8
## 1232            no male asymptomatic         94        245  133.0     0.8
## 1233            no male asymptomatic         94        245  133.0     0.8
## 1234            no male asymptomatic         94        245  133.0     0.8
## 1235            no male asymptomatic         94        245  133.0     0.8
## 1236            no male asymptomatic         94        245  133.0     0.8
## 1237            no male asymptomatic         94        245  133.0     0.8
## 1238            no male asymptomatic         94        245  133.0     0.8
## 1239            no male asymptomatic         94        245  133.0     0.8
## 1240            no male asymptomatic         94        245  133.0     0.8
## 1241            no male asymptomatic         94        245  133.0     0.8
## 1242            no male asymptomatic         94        245  133.0     0.8
## 1243            no male asymptomatic         94        245  133.0     1.6
## 1244            no male asymptomatic         94        245  133.0     1.6
## 1245            no male asymptomatic         94        245  133.0     1.6
## 1246            no male asymptomatic         94        245  133.0     1.6
## 1247            no male asymptomatic         94        245  133.0     1.6
## 1248            no male asymptomatic         94        245  133.0     1.6
## 1249            no male asymptomatic         94        245  133.0     1.6
## 1250            no male asymptomatic         94        245  133.0     1.6
## 1251            no male asymptomatic         94        245  133.0     1.6
## 1252            no male asymptomatic         94        245  133.0     1.6
## 1253            no male asymptomatic         94        245  133.0     1.6
## 1254            no male asymptomatic         94        245  133.0     1.6
## 1255            no male asymptomatic         94        245  133.0     1.6
## 1256            no male asymptomatic         94        245  133.0     1.6
## 1257            no male asymptomatic         94        245  133.0     1.6
## 1258            no male asymptomatic         94        245  133.0     1.6
## 1259            no male asymptomatic         94        245  133.0     1.6
## 1260            no male asymptomatic         94        245  133.0     1.6
## 1261            no male asymptomatic         94        245  133.0     1.6
## 1262            no male asymptomatic         94        245  133.0     1.6
## 1263            no male asymptomatic         94        245  133.0     1.6
## 1264            no male asymptomatic         94        245  133.0     1.6
## 1265            no male asymptomatic         94        245  133.0     1.6
## 1266            no male asymptomatic         94        245  133.0     1.6
## 1267            no male asymptomatic         94        245  133.0     1.6
## 1268            no male asymptomatic         94        245  133.0     1.6
## 1269            no male asymptomatic         94        245  133.0     1.6
## 1270            no male asymptomatic         94        245  133.0     6.2
## 1271            no male asymptomatic         94        245  133.0     6.2
## 1272            no male asymptomatic         94        245  133.0     6.2
## 1273            no male asymptomatic         94        245  133.0     6.2
## 1274            no male asymptomatic         94        245  133.0     6.2
## 1275            no male asymptomatic         94        245  133.0     6.2
## 1276            no male asymptomatic         94        245  133.0     6.2
## 1277            no male asymptomatic         94        245  133.0     6.2
## 1278            no male asymptomatic         94        245  133.0     6.2
## 1279            no male asymptomatic         94        245  133.0     6.2
## 1280            no male asymptomatic         94        245  133.0     6.2
## 1281            no male asymptomatic         94        245  133.0     6.2
## 1282            no male asymptomatic         94        245  133.0     6.2
## 1283            no male asymptomatic         94        245  133.0     6.2
## 1284            no male asymptomatic         94        245  133.0     6.2
## 1285            no male asymptomatic         94        245  133.0     6.2
## 1286            no male asymptomatic         94        245  133.0     6.2
## 1287            no male asymptomatic         94        245  133.0     6.2
## 1288            no male asymptomatic         94        245  133.0     6.2
## 1289            no male asymptomatic         94        245  133.0     6.2
## 1290            no male asymptomatic         94        245  133.0     6.2
## 1291            no male asymptomatic         94        245  133.0     6.2
## 1292            no male asymptomatic         94        245  133.0     6.2
## 1293            no male asymptomatic         94        245  133.0     6.2
## 1294            no male asymptomatic         94        245  133.0     6.2
## 1295            no male asymptomatic         94        245  133.0     6.2
## 1296            no male asymptomatic         94        245  133.0     6.2
## 1297            no male asymptomatic         94        245  153.5     0.0
## 1298            no male asymptomatic         94        245  153.5     0.0
## 1299            no male asymptomatic         94        245  153.5     0.0
## 1300            no male asymptomatic         94        245  153.5     0.0
## 1301            no male asymptomatic         94        245  153.5     0.0
## 1302            no male asymptomatic         94        245  153.5     0.0
## 1303            no male asymptomatic         94        245  153.5     0.0
## 1304            no male asymptomatic         94        245  153.5     0.0
## 1305            no male asymptomatic         94        245  153.5     0.0
## 1306            no male asymptomatic         94        245  153.5     0.0
## 1307            no male asymptomatic         94        245  153.5     0.0
## 1308            no male asymptomatic         94        245  153.5     0.0
## 1309            no male asymptomatic         94        245  153.5     0.0
## 1310            no male asymptomatic         94        245  153.5     0.0
## 1311            no male asymptomatic         94        245  153.5     0.0
## 1312            no male asymptomatic         94        245  153.5     0.0
## 1313            no male asymptomatic         94        245  153.5     0.0
## 1314            no male asymptomatic         94        245  153.5     0.0
## 1315            no male asymptomatic         94        245  153.5     0.0
## 1316            no male asymptomatic         94        245  153.5     0.0
## 1317            no male asymptomatic         94        245  153.5     0.0
## 1318            no male asymptomatic         94        245  153.5     0.0
## 1319            no male asymptomatic         94        245  153.5     0.0
## 1320            no male asymptomatic         94        245  153.5     0.0
## 1321            no male asymptomatic         94        245  153.5     0.0
## 1322            no male asymptomatic         94        245  153.5     0.0
## 1323            no male asymptomatic         94        245  153.5     0.0
## 1324            no male asymptomatic         94        245  153.5     0.8
## 1325            no male asymptomatic         94        245  153.5     0.8
## 1326            no male asymptomatic         94        245  153.5     0.8
## 1327            no male asymptomatic         94        245  153.5     0.8
## 1328            no male asymptomatic         94        245  153.5     0.8
## 1329            no male asymptomatic         94        245  153.5     0.8
## 1330            no male asymptomatic         94        245  153.5     0.8
## 1331            no male asymptomatic         94        245  153.5     0.8
## 1332            no male asymptomatic         94        245  153.5     0.8
## 1333            no male asymptomatic         94        245  153.5     0.8
## 1334            no male asymptomatic         94        245  153.5     0.8
## 1335            no male asymptomatic         94        245  153.5     0.8
## 1336            no male asymptomatic         94        245  153.5     0.8
## 1337            no male asymptomatic         94        245  153.5     0.8
## 1338            no male asymptomatic         94        245  153.5     0.8
## 1339            no male asymptomatic         94        245  153.5     0.8
## 1340            no male asymptomatic         94        245  153.5     0.8
## 1341            no male asymptomatic         94        245  153.5     0.8
## 1342            no male asymptomatic         94        245  153.5     0.8
## 1343            no male asymptomatic         94        245  153.5     0.8
## 1344            no male asymptomatic         94        245  153.5     0.8
## 1345            no male asymptomatic         94        245  153.5     0.8
## 1346            no male asymptomatic         94        245  153.5     0.8
## 1347            no male asymptomatic         94        245  153.5     0.8
## 1348            no male asymptomatic         94        245  153.5     0.8
## 1349            no male asymptomatic         94        245  153.5     0.8
## 1350            no male asymptomatic         94        245  153.5     0.8
## 1351            no male asymptomatic         94        245  153.5     1.6
## 1352            no male asymptomatic         94        245  153.5     1.6
## 1353            no male asymptomatic         94        245  153.5     1.6
## 1354            no male asymptomatic         94        245  153.5     1.6
## 1355            no male asymptomatic         94        245  153.5     1.6
## 1356            no male asymptomatic         94        245  153.5     1.6
## 1357            no male asymptomatic         94        245  153.5     1.6
## 1358            no male asymptomatic         94        245  153.5     1.6
## 1359            no male asymptomatic         94        245  153.5     1.6
## 1360            no male asymptomatic         94        245  153.5     1.6
## 1361            no male asymptomatic         94        245  153.5     1.6
## 1362            no male asymptomatic         94        245  153.5     1.6
## 1363            no male asymptomatic         94        245  153.5     1.6
## 1364            no male asymptomatic         94        245  153.5     1.6
## 1365            no male asymptomatic         94        245  153.5     1.6
## 1366            no male asymptomatic         94        245  153.5     1.6
## 1367            no male asymptomatic         94        245  153.5     1.6
## 1368            no male asymptomatic         94        245  153.5     1.6
## 1369            no male asymptomatic         94        245  153.5     1.6
## 1370            no male asymptomatic         94        245  153.5     1.6
## 1371            no male asymptomatic         94        245  153.5     1.6
## 1372            no male asymptomatic         94        245  153.5     1.6
## 1373            no male asymptomatic         94        245  153.5     1.6
## 1374            no male asymptomatic         94        245  153.5     1.6
## 1375            no male asymptomatic         94        245  153.5     1.6
## 1376            no male asymptomatic         94        245  153.5     1.6
## 1377            no male asymptomatic         94        245  153.5     1.6
## 1378            no male asymptomatic         94        245  153.5     6.2
## 1379            no male asymptomatic         94        245  153.5     6.2
## 1380            no male asymptomatic         94        245  153.5     6.2
## 1381            no male asymptomatic         94        245  153.5     6.2
## 1382            no male asymptomatic         94        245  153.5     6.2
## 1383            no male asymptomatic         94        245  153.5     6.2
## 1384            no male asymptomatic         94        245  153.5     6.2
## 1385            no male asymptomatic         94        245  153.5     6.2
## 1386            no male asymptomatic         94        245  153.5     6.2
## 1387            no male asymptomatic         94        245  153.5     6.2
## 1388            no male asymptomatic         94        245  153.5     6.2
## 1389            no male asymptomatic         94        245  153.5     6.2
## 1390            no male asymptomatic         94        245  153.5     6.2
## 1391            no male asymptomatic         94        245  153.5     6.2
## 1392            no male asymptomatic         94        245  153.5     6.2
## 1393            no male asymptomatic         94        245  153.5     6.2
## 1394            no male asymptomatic         94        245  153.5     6.2
## 1395            no male asymptomatic         94        245  153.5     6.2
## 1396            no male asymptomatic         94        245  153.5     6.2
## 1397            no male asymptomatic         94        245  153.5     6.2
## 1398            no male asymptomatic         94        245  153.5     6.2
## 1399            no male asymptomatic         94        245  153.5     6.2
## 1400            no male asymptomatic         94        245  153.5     6.2
## 1401            no male asymptomatic         94        245  153.5     6.2
## 1402            no male asymptomatic         94        245  153.5     6.2
## 1403            no male asymptomatic         94        245  153.5     6.2
## 1404            no male asymptomatic         94        245  153.5     6.2
## 1405            no male asymptomatic         94        245  166.0     0.0
## 1406            no male asymptomatic         94        245  166.0     0.0
## 1407            no male asymptomatic         94        245  166.0     0.0
## 1408            no male asymptomatic         94        245  166.0     0.0
## 1409            no male asymptomatic         94        245  166.0     0.0
## 1410            no male asymptomatic         94        245  166.0     0.0
## 1411            no male asymptomatic         94        245  166.0     0.0
## 1412            no male asymptomatic         94        245  166.0     0.0
## 1413            no male asymptomatic         94        245  166.0     0.0
## 1414            no male asymptomatic         94        245  166.0     0.0
## 1415            no male asymptomatic         94        245  166.0     0.0
## 1416            no male asymptomatic         94        245  166.0     0.0
## 1417            no male asymptomatic         94        245  166.0     0.0
## 1418            no male asymptomatic         94        245  166.0     0.0
## 1419            no male asymptomatic         94        245  166.0     0.0
## 1420            no male asymptomatic         94        245  166.0     0.0
## 1421            no male asymptomatic         94        245  166.0     0.0
## 1422            no male asymptomatic         94        245  166.0     0.0
## 1423            no male asymptomatic         94        245  166.0     0.0
## 1424            no male asymptomatic         94        245  166.0     0.0
## 1425            no male asymptomatic         94        245  166.0     0.0
## 1426            no male asymptomatic         94        245  166.0     0.0
## 1427            no male asymptomatic         94        245  166.0     0.0
## 1428            no male asymptomatic         94        245  166.0     0.0
## 1429            no male asymptomatic         94        245  166.0     0.0
## 1430            no male asymptomatic         94        245  166.0     0.0
## 1431            no male asymptomatic         94        245  166.0     0.0
## 1432            no male asymptomatic         94        245  166.0     0.8
## 1433            no male asymptomatic         94        245  166.0     0.8
## 1434            no male asymptomatic         94        245  166.0     0.8
## 1435            no male asymptomatic         94        245  166.0     0.8
## 1436            no male asymptomatic         94        245  166.0     0.8
## 1437            no male asymptomatic         94        245  166.0     0.8
## 1438            no male asymptomatic         94        245  166.0     0.8
## 1439            no male asymptomatic         94        245  166.0     0.8
## 1440            no male asymptomatic         94        245  166.0     0.8
## 1441            no male asymptomatic         94        245  166.0     0.8
## 1442            no male asymptomatic         94        245  166.0     0.8
## 1443            no male asymptomatic         94        245  166.0     0.8
## 1444            no male asymptomatic         94        245  166.0     0.8
## 1445            no male asymptomatic         94        245  166.0     0.8
## 1446            no male asymptomatic         94        245  166.0     0.8
## 1447            no male asymptomatic         94        245  166.0     0.8
## 1448            no male asymptomatic         94        245  166.0     0.8
## 1449            no male asymptomatic         94        245  166.0     0.8
## 1450            no male asymptomatic         94        245  166.0     0.8
## 1451            no male asymptomatic         94        245  166.0     0.8
## 1452            no male asymptomatic         94        245  166.0     0.8
## 1453            no male asymptomatic         94        245  166.0     0.8
## 1454            no male asymptomatic         94        245  166.0     0.8
## 1455            no male asymptomatic         94        245  166.0     0.8
## 1456            no male asymptomatic         94        245  166.0     0.8
## 1457            no male asymptomatic         94        245  166.0     0.8
## 1458            no male asymptomatic         94        245  166.0     0.8
## 1459            no male asymptomatic         94        245  166.0     1.6
## 1460            no male asymptomatic         94        245  166.0     1.6
## 1461            no male asymptomatic         94        245  166.0     1.6
## 1462            no male asymptomatic         94        245  166.0     1.6
## 1463            no male asymptomatic         94        245  166.0     1.6
## 1464            no male asymptomatic         94        245  166.0     1.6
## 1465            no male asymptomatic         94        245  166.0     1.6
## 1466            no male asymptomatic         94        245  166.0     1.6
## 1467            no male asymptomatic         94        245  166.0     1.6
## 1468            no male asymptomatic         94        245  166.0     1.6
## 1469            no male asymptomatic         94        245  166.0     1.6
## 1470            no male asymptomatic         94        245  166.0     1.6
## 1471            no male asymptomatic         94        245  166.0     1.6
## 1472            no male asymptomatic         94        245  166.0     1.6
## 1473            no male asymptomatic         94        245  166.0     1.6
## 1474            no male asymptomatic         94        245  166.0     1.6
## 1475            no male asymptomatic         94        245  166.0     1.6
## 1476            no male asymptomatic         94        245  166.0     1.6
## 1477            no male asymptomatic         94        245  166.0     1.6
## 1478            no male asymptomatic         94        245  166.0     1.6
## 1479            no male asymptomatic         94        245  166.0     1.6
## 1480            no male asymptomatic         94        245  166.0     1.6
## 1481            no male asymptomatic         94        245  166.0     1.6
## 1482            no male asymptomatic         94        245  166.0     1.6
## 1483            no male asymptomatic         94        245  166.0     1.6
## 1484            no male asymptomatic         94        245  166.0     1.6
## 1485            no male asymptomatic         94        245  166.0     1.6
## 1486            no male asymptomatic         94        245  166.0     6.2
## 1487            no male asymptomatic         94        245  166.0     6.2
## 1488            no male asymptomatic         94        245  166.0     6.2
## 1489            no male asymptomatic         94        245  166.0     6.2
## 1490            no male asymptomatic         94        245  166.0     6.2
## 1491            no male asymptomatic         94        245  166.0     6.2
## 1492            no male asymptomatic         94        245  166.0     6.2
## 1493            no male asymptomatic         94        245  166.0     6.2
## 1494            no male asymptomatic         94        245  166.0     6.2
## 1495            no male asymptomatic         94        245  166.0     6.2
## 1496            no male asymptomatic         94        245  166.0     6.2
## 1497            no male asymptomatic         94        245  166.0     6.2
## 1498            no male asymptomatic         94        245  166.0     6.2
## 1499            no male asymptomatic         94        245  166.0     6.2
## 1500            no male asymptomatic         94        245  166.0     6.2
## 1501            no male asymptomatic         94        245  166.0     6.2
## 1502            no male asymptomatic         94        245  166.0     6.2
## 1503            no male asymptomatic         94        245  166.0     6.2
## 1504            no male asymptomatic         94        245  166.0     6.2
## 1505            no male asymptomatic         94        245  166.0     6.2
## 1506            no male asymptomatic         94        245  166.0     6.2
## 1507            no male asymptomatic         94        245  166.0     6.2
## 1508            no male asymptomatic         94        245  166.0     6.2
## 1509            no male asymptomatic         94        245  166.0     6.2
## 1510            no male asymptomatic         94        245  166.0     6.2
## 1511            no male asymptomatic         94        245  166.0     6.2
## 1512            no male asymptomatic         94        245  166.0     6.2
## 1513            no male asymptomatic         94        245  202.0     0.0
## 1514            no male asymptomatic         94        245  202.0     0.0
## 1515            no male asymptomatic         94        245  202.0     0.0
## 1516            no male asymptomatic         94        245  202.0     0.0
## 1517            no male asymptomatic         94        245  202.0     0.0
## 1518            no male asymptomatic         94        245  202.0     0.0
## 1519            no male asymptomatic         94        245  202.0     0.0
## 1520            no male asymptomatic         94        245  202.0     0.0
## 1521            no male asymptomatic         94        245  202.0     0.0
## 1522            no male asymptomatic         94        245  202.0     0.0
## 1523            no male asymptomatic         94        245  202.0     0.0
## 1524            no male asymptomatic         94        245  202.0     0.0
## 1525            no male asymptomatic         94        245  202.0     0.0
## 1526            no male asymptomatic         94        245  202.0     0.0
## 1527            no male asymptomatic         94        245  202.0     0.0
## 1528            no male asymptomatic         94        245  202.0     0.0
## 1529            no male asymptomatic         94        245  202.0     0.0
## 1530            no male asymptomatic         94        245  202.0     0.0
## 1531            no male asymptomatic         94        245  202.0     0.0
## 1532            no male asymptomatic         94        245  202.0     0.0
## 1533            no male asymptomatic         94        245  202.0     0.0
## 1534            no male asymptomatic         94        245  202.0     0.0
## 1535            no male asymptomatic         94        245  202.0     0.0
## 1536            no male asymptomatic         94        245  202.0     0.0
## 1537            no male asymptomatic         94        245  202.0     0.0
## 1538            no male asymptomatic         94        245  202.0     0.0
## 1539            no male asymptomatic         94        245  202.0     0.0
## 1540            no male asymptomatic         94        245  202.0     0.8
## 1541            no male asymptomatic         94        245  202.0     0.8
## 1542            no male asymptomatic         94        245  202.0     0.8
## 1543            no male asymptomatic         94        245  202.0     0.8
## 1544            no male asymptomatic         94        245  202.0     0.8
## 1545            no male asymptomatic         94        245  202.0     0.8
## 1546            no male asymptomatic         94        245  202.0     0.8
## 1547            no male asymptomatic         94        245  202.0     0.8
## 1548            no male asymptomatic         94        245  202.0     0.8
## 1549            no male asymptomatic         94        245  202.0     0.8
## 1550            no male asymptomatic         94        245  202.0     0.8
## 1551            no male asymptomatic         94        245  202.0     0.8
## 1552            no male asymptomatic         94        245  202.0     0.8
## 1553            no male asymptomatic         94        245  202.0     0.8
## 1554            no male asymptomatic         94        245  202.0     0.8
## 1555            no male asymptomatic         94        245  202.0     0.8
## 1556            no male asymptomatic         94        245  202.0     0.8
## 1557            no male asymptomatic         94        245  202.0     0.8
## 1558            no male asymptomatic         94        245  202.0     0.8
## 1559            no male asymptomatic         94        245  202.0     0.8
## 1560            no male asymptomatic         94        245  202.0     0.8
## 1561            no male asymptomatic         94        245  202.0     0.8
## 1562            no male asymptomatic         94        245  202.0     0.8
## 1563            no male asymptomatic         94        245  202.0     0.8
## 1564            no male asymptomatic         94        245  202.0     0.8
## 1565            no male asymptomatic         94        245  202.0     0.8
## 1566            no male asymptomatic         94        245  202.0     0.8
## 1567            no male asymptomatic         94        245  202.0     1.6
## 1568            no male asymptomatic         94        245  202.0     1.6
## 1569            no male asymptomatic         94        245  202.0     1.6
## 1570            no male asymptomatic         94        245  202.0     1.6
## 1571            no male asymptomatic         94        245  202.0     1.6
## 1572            no male asymptomatic         94        245  202.0     1.6
## 1573            no male asymptomatic         94        245  202.0     1.6
## 1574            no male asymptomatic         94        245  202.0     1.6
## 1575            no male asymptomatic         94        245  202.0     1.6
## 1576            no male asymptomatic         94        245  202.0     1.6
## 1577            no male asymptomatic         94        245  202.0     1.6
## 1578            no male asymptomatic         94        245  202.0     1.6
## 1579            no male asymptomatic         94        245  202.0     1.6
## 1580            no male asymptomatic         94        245  202.0     1.6
## 1581            no male asymptomatic         94        245  202.0     1.6
## 1582            no male asymptomatic         94        245  202.0     1.6
## 1583            no male asymptomatic         94        245  202.0     1.6
## 1584            no male asymptomatic         94        245  202.0     1.6
## 1585            no male asymptomatic         94        245  202.0     1.6
## 1586            no male asymptomatic         94        245  202.0     1.6
## 1587            no male asymptomatic         94        245  202.0     1.6
## 1588            no male asymptomatic         94        245  202.0     1.6
## 1589            no male asymptomatic         94        245  202.0     1.6
## 1590            no male asymptomatic         94        245  202.0     1.6
## 1591            no male asymptomatic         94        245  202.0     1.6
## 1592            no male asymptomatic         94        245  202.0     1.6
## 1593            no male asymptomatic         94        245  202.0     1.6
## 1594            no male asymptomatic         94        245  202.0     6.2
## 1595            no male asymptomatic         94        245  202.0     6.2
## 1596            no male asymptomatic         94        245  202.0     6.2
## 1597            no male asymptomatic         94        245  202.0     6.2
## 1598            no male asymptomatic         94        245  202.0     6.2
## 1599            no male asymptomatic         94        245  202.0     6.2
## 1600            no male asymptomatic         94        245  202.0     6.2
## 1601            no male asymptomatic         94        245  202.0     6.2
## 1602            no male asymptomatic         94        245  202.0     6.2
## 1603            no male asymptomatic         94        245  202.0     6.2
## 1604            no male asymptomatic         94        245  202.0     6.2
## 1605            no male asymptomatic         94        245  202.0     6.2
## 1606            no male asymptomatic         94        245  202.0     6.2
## 1607            no male asymptomatic         94        245  202.0     6.2
## 1608            no male asymptomatic         94        245  202.0     6.2
## 1609            no male asymptomatic         94        245  202.0     6.2
## 1610            no male asymptomatic         94        245  202.0     6.2
## 1611            no male asymptomatic         94        245  202.0     6.2
## 1612            no male asymptomatic         94        245  202.0     6.2
## 1613            no male asymptomatic         94        245  202.0     6.2
## 1614            no male asymptomatic         94        245  202.0     6.2
## 1615            no male asymptomatic         94        245  202.0     6.2
## 1616            no male asymptomatic         94        245  202.0     6.2
## 1617            no male asymptomatic         94        245  202.0     6.2
## 1618            no male asymptomatic         94        245  202.0     6.2
## 1619            no male asymptomatic         94        245  202.0     6.2
## 1620            no male asymptomatic         94        245  202.0     6.2
## 1621            no male asymptomatic         94        281   71.0     0.0
## 1622            no male asymptomatic         94        281   71.0     0.0
## 1623            no male asymptomatic         94        281   71.0     0.0
## 1624            no male asymptomatic         94        281   71.0     0.0
## 1625            no male asymptomatic         94        281   71.0     0.0
## 1626            no male asymptomatic         94        281   71.0     0.0
## 1627            no male asymptomatic         94        281   71.0     0.0
## 1628            no male asymptomatic         94        281   71.0     0.0
## 1629            no male asymptomatic         94        281   71.0     0.0
## 1630            no male asymptomatic         94        281   71.0     0.0
## 1631            no male asymptomatic         94        281   71.0     0.0
## 1632            no male asymptomatic         94        281   71.0     0.0
## 1633            no male asymptomatic         94        281   71.0     0.0
## 1634            no male asymptomatic         94        281   71.0     0.0
## 1635            no male asymptomatic         94        281   71.0     0.0
## 1636            no male asymptomatic         94        281   71.0     0.0
## 1637            no male asymptomatic         94        281   71.0     0.0
## 1638            no male asymptomatic         94        281   71.0     0.0
## 1639            no male asymptomatic         94        281   71.0     0.0
## 1640            no male asymptomatic         94        281   71.0     0.0
## 1641            no male asymptomatic         94        281   71.0     0.0
## 1642            no male asymptomatic         94        281   71.0     0.0
## 1643            no male asymptomatic         94        281   71.0     0.0
## 1644            no male asymptomatic         94        281   71.0     0.0
## 1645            no male asymptomatic         94        281   71.0     0.0
## 1646            no male asymptomatic         94        281   71.0     0.0
## 1647            no male asymptomatic         94        281   71.0     0.0
## 1648            no male asymptomatic         94        281   71.0     0.8
## 1649            no male asymptomatic         94        281   71.0     0.8
## 1650            no male asymptomatic         94        281   71.0     0.8
## 1651            no male asymptomatic         94        281   71.0     0.8
## 1652            no male asymptomatic         94        281   71.0     0.8
## 1653            no male asymptomatic         94        281   71.0     0.8
## 1654            no male asymptomatic         94        281   71.0     0.8
## 1655            no male asymptomatic         94        281   71.0     0.8
## 1656            no male asymptomatic         94        281   71.0     0.8
## 1657            no male asymptomatic         94        281   71.0     0.8
## 1658            no male asymptomatic         94        281   71.0     0.8
## 1659            no male asymptomatic         94        281   71.0     0.8
## 1660            no male asymptomatic         94        281   71.0     0.8
## 1661            no male asymptomatic         94        281   71.0     0.8
## 1662            no male asymptomatic         94        281   71.0     0.8
## 1663            no male asymptomatic         94        281   71.0     0.8
## 1664            no male asymptomatic         94        281   71.0     0.8
## 1665            no male asymptomatic         94        281   71.0     0.8
## 1666            no male asymptomatic         94        281   71.0     0.8
## 1667            no male asymptomatic         94        281   71.0     0.8
## 1668            no male asymptomatic         94        281   71.0     0.8
## 1669            no male asymptomatic         94        281   71.0     0.8
## 1670            no male asymptomatic         94        281   71.0     0.8
## 1671            no male asymptomatic         94        281   71.0     0.8
## 1672            no male asymptomatic         94        281   71.0     0.8
## 1673            no male asymptomatic         94        281   71.0     0.8
## 1674            no male asymptomatic         94        281   71.0     0.8
## 1675            no male asymptomatic         94        281   71.0     1.6
## 1676            no male asymptomatic         94        281   71.0     1.6
## 1677            no male asymptomatic         94        281   71.0     1.6
## 1678            no male asymptomatic         94        281   71.0     1.6
## 1679            no male asymptomatic         94        281   71.0     1.6
## 1680            no male asymptomatic         94        281   71.0     1.6
## 1681            no male asymptomatic         94        281   71.0     1.6
## 1682            no male asymptomatic         94        281   71.0     1.6
## 1683            no male asymptomatic         94        281   71.0     1.6
## 1684            no male asymptomatic         94        281   71.0     1.6
## 1685            no male asymptomatic         94        281   71.0     1.6
## 1686            no male asymptomatic         94        281   71.0     1.6
## 1687            no male asymptomatic         94        281   71.0     1.6
## 1688            no male asymptomatic         94        281   71.0     1.6
## 1689            no male asymptomatic         94        281   71.0     1.6
## 1690            no male asymptomatic         94        281   71.0     1.6
## 1691            no male asymptomatic         94        281   71.0     1.6
## 1692            no male asymptomatic         94        281   71.0     1.6
## 1693            no male asymptomatic         94        281   71.0     1.6
## 1694            no male asymptomatic         94        281   71.0     1.6
## 1695            no male asymptomatic         94        281   71.0     1.6
## 1696            no male asymptomatic         94        281   71.0     1.6
## 1697            no male asymptomatic         94        281   71.0     1.6
## 1698            no male asymptomatic         94        281   71.0     1.6
## 1699            no male asymptomatic         94        281   71.0     1.6
## 1700            no male asymptomatic         94        281   71.0     1.6
## 1701            no male asymptomatic         94        281   71.0     1.6
## 1702            no male asymptomatic         94        281   71.0     6.2
## 1703            no male asymptomatic         94        281   71.0     6.2
## 1704            no male asymptomatic         94        281   71.0     6.2
## 1705            no male asymptomatic         94        281   71.0     6.2
## 1706            no male asymptomatic         94        281   71.0     6.2
## 1707            no male asymptomatic         94        281   71.0     6.2
## 1708            no male asymptomatic         94        281   71.0     6.2
## 1709            no male asymptomatic         94        281   71.0     6.2
## 1710            no male asymptomatic         94        281   71.0     6.2
## 1711            no male asymptomatic         94        281   71.0     6.2
## 1712            no male asymptomatic         94        281   71.0     6.2
## 1713            no male asymptomatic         94        281   71.0     6.2
## 1714            no male asymptomatic         94        281   71.0     6.2
## 1715            no male asymptomatic         94        281   71.0     6.2
## 1716            no male asymptomatic         94        281   71.0     6.2
## 1717            no male asymptomatic         94        281   71.0     6.2
## 1718            no male asymptomatic         94        281   71.0     6.2
## 1719            no male asymptomatic         94        281   71.0     6.2
## 1720            no male asymptomatic         94        281   71.0     6.2
## 1721            no male asymptomatic         94        281   71.0     6.2
## 1722            no male asymptomatic         94        281   71.0     6.2
## 1723            no male asymptomatic         94        281   71.0     6.2
## 1724            no male asymptomatic         94        281   71.0     6.2
## 1725            no male asymptomatic         94        281   71.0     6.2
## 1726            no male asymptomatic         94        281   71.0     6.2
## 1727            no male asymptomatic         94        281   71.0     6.2
## 1728            no male asymptomatic         94        281   71.0     6.2
## 1729            no male asymptomatic         94        281  133.0     0.0
## 1730            no male asymptomatic         94        281  133.0     0.0
## 1731            no male asymptomatic         94        281  133.0     0.0
## 1732            no male asymptomatic         94        281  133.0     0.0
## 1733            no male asymptomatic         94        281  133.0     0.0
## 1734            no male asymptomatic         94        281  133.0     0.0
## 1735            no male asymptomatic         94        281  133.0     0.0
## 1736            no male asymptomatic         94        281  133.0     0.0
## 1737            no male asymptomatic         94        281  133.0     0.0
## 1738            no male asymptomatic         94        281  133.0     0.0
## 1739            no male asymptomatic         94        281  133.0     0.0
## 1740            no male asymptomatic         94        281  133.0     0.0
## 1741            no male asymptomatic         94        281  133.0     0.0
## 1742            no male asymptomatic         94        281  133.0     0.0
## 1743            no male asymptomatic         94        281  133.0     0.0
## 1744            no male asymptomatic         94        281  133.0     0.0
## 1745            no male asymptomatic         94        281  133.0     0.0
## 1746            no male asymptomatic         94        281  133.0     0.0
## 1747            no male asymptomatic         94        281  133.0     0.0
## 1748            no male asymptomatic         94        281  133.0     0.0
## 1749            no male asymptomatic         94        281  133.0     0.0
## 1750            no male asymptomatic         94        281  133.0     0.0
## 1751            no male asymptomatic         94        281  133.0     0.0
## 1752            no male asymptomatic         94        281  133.0     0.0
## 1753            no male asymptomatic         94        281  133.0     0.0
## 1754            no male asymptomatic         94        281  133.0     0.0
## 1755            no male asymptomatic         94        281  133.0     0.0
## 1756            no male asymptomatic         94        281  133.0     0.8
## 1757            no male asymptomatic         94        281  133.0     0.8
## 1758            no male asymptomatic         94        281  133.0     0.8
## 1759            no male asymptomatic         94        281  133.0     0.8
## 1760            no male asymptomatic         94        281  133.0     0.8
## 1761            no male asymptomatic         94        281  133.0     0.8
## 1762            no male asymptomatic         94        281  133.0     0.8
## 1763            no male asymptomatic         94        281  133.0     0.8
## 1764            no male asymptomatic         94        281  133.0     0.8
## 1765            no male asymptomatic         94        281  133.0     0.8
## 1766            no male asymptomatic         94        281  133.0     0.8
## 1767            no male asymptomatic         94        281  133.0     0.8
## 1768            no male asymptomatic         94        281  133.0     0.8
## 1769            no male asymptomatic         94        281  133.0     0.8
## 1770            no male asymptomatic         94        281  133.0     0.8
## 1771            no male asymptomatic         94        281  133.0     0.8
## 1772            no male asymptomatic         94        281  133.0     0.8
## 1773            no male asymptomatic         94        281  133.0     0.8
## 1774            no male asymptomatic         94        281  133.0     0.8
## 1775            no male asymptomatic         94        281  133.0     0.8
## 1776            no male asymptomatic         94        281  133.0     0.8
## 1777            no male asymptomatic         94        281  133.0     0.8
## 1778            no male asymptomatic         94        281  133.0     0.8
## 1779            no male asymptomatic         94        281  133.0     0.8
## 1780            no male asymptomatic         94        281  133.0     0.8
## 1781            no male asymptomatic         94        281  133.0     0.8
## 1782            no male asymptomatic         94        281  133.0     0.8
## 1783            no male asymptomatic         94        281  133.0     1.6
## 1784            no male asymptomatic         94        281  133.0     1.6
## 1785            no male asymptomatic         94        281  133.0     1.6
## 1786            no male asymptomatic         94        281  133.0     1.6
## 1787            no male asymptomatic         94        281  133.0     1.6
## 1788            no male asymptomatic         94        281  133.0     1.6
## 1789            no male asymptomatic         94        281  133.0     1.6
## 1790            no male asymptomatic         94        281  133.0     1.6
## 1791            no male asymptomatic         94        281  133.0     1.6
## 1792            no male asymptomatic         94        281  133.0     1.6
## 1793            no male asymptomatic         94        281  133.0     1.6
## 1794            no male asymptomatic         94        281  133.0     1.6
## 1795            no male asymptomatic         94        281  133.0     1.6
## 1796            no male asymptomatic         94        281  133.0     1.6
## 1797            no male asymptomatic         94        281  133.0     1.6
## 1798            no male asymptomatic         94        281  133.0     1.6
## 1799            no male asymptomatic         94        281  133.0     1.6
## 1800            no male asymptomatic         94        281  133.0     1.6
## 1801            no male asymptomatic         94        281  133.0     1.6
## 1802            no male asymptomatic         94        281  133.0     1.6
## 1803            no male asymptomatic         94        281  133.0     1.6
## 1804            no male asymptomatic         94        281  133.0     1.6
## 1805            no male asymptomatic         94        281  133.0     1.6
## 1806            no male asymptomatic         94        281  133.0     1.6
## 1807            no male asymptomatic         94        281  133.0     1.6
## 1808            no male asymptomatic         94        281  133.0     1.6
## 1809            no male asymptomatic         94        281  133.0     1.6
## 1810            no male asymptomatic         94        281  133.0     6.2
## 1811            no male asymptomatic         94        281  133.0     6.2
## 1812            no male asymptomatic         94        281  133.0     6.2
## 1813            no male asymptomatic         94        281  133.0     6.2
## 1814            no male asymptomatic         94        281  133.0     6.2
## 1815            no male asymptomatic         94        281  133.0     6.2
## 1816            no male asymptomatic         94        281  133.0     6.2
## 1817            no male asymptomatic         94        281  133.0     6.2
## 1818            no male asymptomatic         94        281  133.0     6.2
## 1819            no male asymptomatic         94        281  133.0     6.2
## 1820            no male asymptomatic         94        281  133.0     6.2
## 1821            no male asymptomatic         94        281  133.0     6.2
## 1822            no male asymptomatic         94        281  133.0     6.2
## 1823            no male asymptomatic         94        281  133.0     6.2
## 1824            no male asymptomatic         94        281  133.0     6.2
## 1825            no male asymptomatic         94        281  133.0     6.2
## 1826            no male asymptomatic         94        281  133.0     6.2
## 1827            no male asymptomatic         94        281  133.0     6.2
## 1828            no male asymptomatic         94        281  133.0     6.2
## 1829            no male asymptomatic         94        281  133.0     6.2
## 1830            no male asymptomatic         94        281  133.0     6.2
## 1831            no male asymptomatic         94        281  133.0     6.2
## 1832            no male asymptomatic         94        281  133.0     6.2
## 1833            no male asymptomatic         94        281  133.0     6.2
## 1834            no male asymptomatic         94        281  133.0     6.2
## 1835            no male asymptomatic         94        281  133.0     6.2
## 1836            no male asymptomatic         94        281  133.0     6.2
## 1837            no male asymptomatic         94        281  153.5     0.0
## 1838            no male asymptomatic         94        281  153.5     0.0
## 1839            no male asymptomatic         94        281  153.5     0.0
## 1840            no male asymptomatic         94        281  153.5     0.0
## 1841            no male asymptomatic         94        281  153.5     0.0
## 1842            no male asymptomatic         94        281  153.5     0.0
## 1843            no male asymptomatic         94        281  153.5     0.0
## 1844            no male asymptomatic         94        281  153.5     0.0
## 1845            no male asymptomatic         94        281  153.5     0.0
## 1846            no male asymptomatic         94        281  153.5     0.0
## 1847            no male asymptomatic         94        281  153.5     0.0
## 1848            no male asymptomatic         94        281  153.5     0.0
## 1849            no male asymptomatic         94        281  153.5     0.0
## 1850            no male asymptomatic         94        281  153.5     0.0
## 1851            no male asymptomatic         94        281  153.5     0.0
## 1852            no male asymptomatic         94        281  153.5     0.0
## 1853            no male asymptomatic         94        281  153.5     0.0
## 1854            no male asymptomatic         94        281  153.5     0.0
## 1855            no male asymptomatic         94        281  153.5     0.0
## 1856            no male asymptomatic         94        281  153.5     0.0
## 1857            no male asymptomatic         94        281  153.5     0.0
## 1858            no male asymptomatic         94        281  153.5     0.0
## 1859            no male asymptomatic         94        281  153.5     0.0
## 1860            no male asymptomatic         94        281  153.5     0.0
## 1861            no male asymptomatic         94        281  153.5     0.0
## 1862            no male asymptomatic         94        281  153.5     0.0
## 1863            no male asymptomatic         94        281  153.5     0.0
## 1864            no male asymptomatic         94        281  153.5     0.8
## 1865            no male asymptomatic         94        281  153.5     0.8
## 1866            no male asymptomatic         94        281  153.5     0.8
## 1867            no male asymptomatic         94        281  153.5     0.8
## 1868            no male asymptomatic         94        281  153.5     0.8
## 1869            no male asymptomatic         94        281  153.5     0.8
## 1870            no male asymptomatic         94        281  153.5     0.8
## 1871            no male asymptomatic         94        281  153.5     0.8
## 1872            no male asymptomatic         94        281  153.5     0.8
## 1873            no male asymptomatic         94        281  153.5     0.8
## 1874            no male asymptomatic         94        281  153.5     0.8
## 1875            no male asymptomatic         94        281  153.5     0.8
## 1876            no male asymptomatic         94        281  153.5     0.8
## 1877            no male asymptomatic         94        281  153.5     0.8
## 1878            no male asymptomatic         94        281  153.5     0.8
## 1879            no male asymptomatic         94        281  153.5     0.8
## 1880            no male asymptomatic         94        281  153.5     0.8
## 1881            no male asymptomatic         94        281  153.5     0.8
## 1882            no male asymptomatic         94        281  153.5     0.8
## 1883            no male asymptomatic         94        281  153.5     0.8
## 1884            no male asymptomatic         94        281  153.5     0.8
## 1885            no male asymptomatic         94        281  153.5     0.8
## 1886            no male asymptomatic         94        281  153.5     0.8
## 1887            no male asymptomatic         94        281  153.5     0.8
## 1888            no male asymptomatic         94        281  153.5     0.8
## 1889            no male asymptomatic         94        281  153.5     0.8
## 1890            no male asymptomatic         94        281  153.5     0.8
## 1891            no male asymptomatic         94        281  153.5     1.6
## 1892            no male asymptomatic         94        281  153.5     1.6
## 1893            no male asymptomatic         94        281  153.5     1.6
## 1894            no male asymptomatic         94        281  153.5     1.6
## 1895            no male asymptomatic         94        281  153.5     1.6
## 1896            no male asymptomatic         94        281  153.5     1.6
## 1897            no male asymptomatic         94        281  153.5     1.6
## 1898            no male asymptomatic         94        281  153.5     1.6
## 1899            no male asymptomatic         94        281  153.5     1.6
## 1900            no male asymptomatic         94        281  153.5     1.6
## 1901            no male asymptomatic         94        281  153.5     1.6
## 1902            no male asymptomatic         94        281  153.5     1.6
## 1903            no male asymptomatic         94        281  153.5     1.6
## 1904            no male asymptomatic         94        281  153.5     1.6
## 1905            no male asymptomatic         94        281  153.5     1.6
## 1906            no male asymptomatic         94        281  153.5     1.6
## 1907            no male asymptomatic         94        281  153.5     1.6
## 1908            no male asymptomatic         94        281  153.5     1.6
## 1909            no male asymptomatic         94        281  153.5     1.6
## 1910            no male asymptomatic         94        281  153.5     1.6
## 1911            no male asymptomatic         94        281  153.5     1.6
## 1912            no male asymptomatic         94        281  153.5     1.6
## 1913            no male asymptomatic         94        281  153.5     1.6
## 1914            no male asymptomatic         94        281  153.5     1.6
## 1915            no male asymptomatic         94        281  153.5     1.6
## 1916            no male asymptomatic         94        281  153.5     1.6
## 1917            no male asymptomatic         94        281  153.5     1.6
## 1918            no male asymptomatic         94        281  153.5     6.2
## 1919            no male asymptomatic         94        281  153.5     6.2
## 1920            no male asymptomatic         94        281  153.5     6.2
## 1921            no male asymptomatic         94        281  153.5     6.2
## 1922            no male asymptomatic         94        281  153.5     6.2
## 1923            no male asymptomatic         94        281  153.5     6.2
## 1924            no male asymptomatic         94        281  153.5     6.2
## 1925            no male asymptomatic         94        281  153.5     6.2
## 1926            no male asymptomatic         94        281  153.5     6.2
## 1927            no male asymptomatic         94        281  153.5     6.2
## 1928            no male asymptomatic         94        281  153.5     6.2
## 1929            no male asymptomatic         94        281  153.5     6.2
## 1930            no male asymptomatic         94        281  153.5     6.2
## 1931            no male asymptomatic         94        281  153.5     6.2
## 1932            no male asymptomatic         94        281  153.5     6.2
## 1933            no male asymptomatic         94        281  153.5     6.2
## 1934            no male asymptomatic         94        281  153.5     6.2
## 1935            no male asymptomatic         94        281  153.5     6.2
## 1936            no male asymptomatic         94        281  153.5     6.2
## 1937            no male asymptomatic         94        281  153.5     6.2
## 1938            no male asymptomatic         94        281  153.5     6.2
## 1939            no male asymptomatic         94        281  153.5     6.2
## 1940            no male asymptomatic         94        281  153.5     6.2
## 1941            no male asymptomatic         94        281  153.5     6.2
## 1942            no male asymptomatic         94        281  153.5     6.2
## 1943            no male asymptomatic         94        281  153.5     6.2
## 1944            no male asymptomatic         94        281  153.5     6.2
## 1945            no male asymptomatic         94        281  166.0     0.0
## 1946            no male asymptomatic         94        281  166.0     0.0
## 1947            no male asymptomatic         94        281  166.0     0.0
## 1948            no male asymptomatic         94        281  166.0     0.0
## 1949            no male asymptomatic         94        281  166.0     0.0
## 1950            no male asymptomatic         94        281  166.0     0.0
## 1951            no male asymptomatic         94        281  166.0     0.0
## 1952            no male asymptomatic         94        281  166.0     0.0
## 1953            no male asymptomatic         94        281  166.0     0.0
## 1954            no male asymptomatic         94        281  166.0     0.0
## 1955            no male asymptomatic         94        281  166.0     0.0
## 1956            no male asymptomatic         94        281  166.0     0.0
## 1957            no male asymptomatic         94        281  166.0     0.0
## 1958            no male asymptomatic         94        281  166.0     0.0
## 1959            no male asymptomatic         94        281  166.0     0.0
## 1960            no male asymptomatic         94        281  166.0     0.0
## 1961            no male asymptomatic         94        281  166.0     0.0
## 1962            no male asymptomatic         94        281  166.0     0.0
## 1963            no male asymptomatic         94        281  166.0     0.0
## 1964            no male asymptomatic         94        281  166.0     0.0
## 1965            no male asymptomatic         94        281  166.0     0.0
## 1966            no male asymptomatic         94        281  166.0     0.0
## 1967            no male asymptomatic         94        281  166.0     0.0
## 1968            no male asymptomatic         94        281  166.0     0.0
## 1969            no male asymptomatic         94        281  166.0     0.0
## 1970            no male asymptomatic         94        281  166.0     0.0
## 1971            no male asymptomatic         94        281  166.0     0.0
## 1972            no male asymptomatic         94        281  166.0     0.8
## 1973            no male asymptomatic         94        281  166.0     0.8
## 1974            no male asymptomatic         94        281  166.0     0.8
## 1975            no male asymptomatic         94        281  166.0     0.8
## 1976            no male asymptomatic         94        281  166.0     0.8
## 1977            no male asymptomatic         94        281  166.0     0.8
## 1978            no male asymptomatic         94        281  166.0     0.8
## 1979            no male asymptomatic         94        281  166.0     0.8
## 1980            no male asymptomatic         94        281  166.0     0.8
## 1981            no male asymptomatic         94        281  166.0     0.8
## 1982            no male asymptomatic         94        281  166.0     0.8
## 1983            no male asymptomatic         94        281  166.0     0.8
## 1984            no male asymptomatic         94        281  166.0     0.8
## 1985            no male asymptomatic         94        281  166.0     0.8
## 1986            no male asymptomatic         94        281  166.0     0.8
## 1987            no male asymptomatic         94        281  166.0     0.8
## 1988            no male asymptomatic         94        281  166.0     0.8
## 1989            no male asymptomatic         94        281  166.0     0.8
## 1990            no male asymptomatic         94        281  166.0     0.8
## 1991            no male asymptomatic         94        281  166.0     0.8
## 1992            no male asymptomatic         94        281  166.0     0.8
## 1993            no male asymptomatic         94        281  166.0     0.8
## 1994            no male asymptomatic         94        281  166.0     0.8
## 1995            no male asymptomatic         94        281  166.0     0.8
## 1996            no male asymptomatic         94        281  166.0     0.8
## 1997            no male asymptomatic         94        281  166.0     0.8
## 1998            no male asymptomatic         94        281  166.0     0.8
## 1999            no male asymptomatic         94        281  166.0     1.6
## 2000            no male asymptomatic         94        281  166.0     1.6
## 2001            no male asymptomatic         94        281  166.0     1.6
## 2002            no male asymptomatic         94        281  166.0     1.6
## 2003            no male asymptomatic         94        281  166.0     1.6
## 2004            no male asymptomatic         94        281  166.0     1.6
## 2005            no male asymptomatic         94        281  166.0     1.6
## 2006            no male asymptomatic         94        281  166.0     1.6
## 2007            no male asymptomatic         94        281  166.0     1.6
## 2008            no male asymptomatic         94        281  166.0     1.6
## 2009            no male asymptomatic         94        281  166.0     1.6
## 2010            no male asymptomatic         94        281  166.0     1.6
## 2011            no male asymptomatic         94        281  166.0     1.6
## 2012            no male asymptomatic         94        281  166.0     1.6
## 2013            no male asymptomatic         94        281  166.0     1.6
## 2014            no male asymptomatic         94        281  166.0     1.6
## 2015            no male asymptomatic         94        281  166.0     1.6
## 2016            no male asymptomatic         94        281  166.0     1.6
## 2017            no male asymptomatic         94        281  166.0     1.6
## 2018            no male asymptomatic         94        281  166.0     1.6
## 2019            no male asymptomatic         94        281  166.0     1.6
## 2020            no male asymptomatic         94        281  166.0     1.6
## 2021            no male asymptomatic         94        281  166.0     1.6
## 2022            no male asymptomatic         94        281  166.0     1.6
## 2023            no male asymptomatic         94        281  166.0     1.6
## 2024            no male asymptomatic         94        281  166.0     1.6
## 2025            no male asymptomatic         94        281  166.0     1.6
## 2026            no male asymptomatic         94        281  166.0     6.2
## 2027            no male asymptomatic         94        281  166.0     6.2
## 2028            no male asymptomatic         94        281  166.0     6.2
## 2029            no male asymptomatic         94        281  166.0     6.2
## 2030            no male asymptomatic         94        281  166.0     6.2
## 2031            no male asymptomatic         94        281  166.0     6.2
## 2032            no male asymptomatic         94        281  166.0     6.2
## 2033            no male asymptomatic         94        281  166.0     6.2
## 2034            no male asymptomatic         94        281  166.0     6.2
## 2035            no male asymptomatic         94        281  166.0     6.2
## 2036            no male asymptomatic         94        281  166.0     6.2
## 2037            no male asymptomatic         94        281  166.0     6.2
## 2038            no male asymptomatic         94        281  166.0     6.2
## 2039            no male asymptomatic         94        281  166.0     6.2
## 2040            no male asymptomatic         94        281  166.0     6.2
## 2041            no male asymptomatic         94        281  166.0     6.2
## 2042            no male asymptomatic         94        281  166.0     6.2
## 2043            no male asymptomatic         94        281  166.0     6.2
## 2044            no male asymptomatic         94        281  166.0     6.2
## 2045            no male asymptomatic         94        281  166.0     6.2
## 2046            no male asymptomatic         94        281  166.0     6.2
## 2047            no male asymptomatic         94        281  166.0     6.2
## 2048            no male asymptomatic         94        281  166.0     6.2
## 2049            no male asymptomatic         94        281  166.0     6.2
## 2050            no male asymptomatic         94        281  166.0     6.2
## 2051            no male asymptomatic         94        281  166.0     6.2
## 2052            no male asymptomatic         94        281  166.0     6.2
## 2053            no male asymptomatic         94        281  202.0     0.0
## 2054            no male asymptomatic         94        281  202.0     0.0
## 2055            no male asymptomatic         94        281  202.0     0.0
## 2056            no male asymptomatic         94        281  202.0     0.0
## 2057            no male asymptomatic         94        281  202.0     0.0
## 2058            no male asymptomatic         94        281  202.0     0.0
## 2059            no male asymptomatic         94        281  202.0     0.0
## 2060            no male asymptomatic         94        281  202.0     0.0
## 2061            no male asymptomatic         94        281  202.0     0.0
## 2062            no male asymptomatic         94        281  202.0     0.0
## 2063            no male asymptomatic         94        281  202.0     0.0
## 2064            no male asymptomatic         94        281  202.0     0.0
## 2065            no male asymptomatic         94        281  202.0     0.0
## 2066            no male asymptomatic         94        281  202.0     0.0
## 2067            no male asymptomatic         94        281  202.0     0.0
## 2068            no male asymptomatic         94        281  202.0     0.0
## 2069            no male asymptomatic         94        281  202.0     0.0
## 2070            no male asymptomatic         94        281  202.0     0.0
## 2071            no male asymptomatic         94        281  202.0     0.0
## 2072            no male asymptomatic         94        281  202.0     0.0
## 2073            no male asymptomatic         94        281  202.0     0.0
## 2074            no male asymptomatic         94        281  202.0     0.0
## 2075            no male asymptomatic         94        281  202.0     0.0
## 2076            no male asymptomatic         94        281  202.0     0.0
## 2077            no male asymptomatic         94        281  202.0     0.0
## 2078            no male asymptomatic         94        281  202.0     0.0
## 2079            no male asymptomatic         94        281  202.0     0.0
## 2080            no male asymptomatic         94        281  202.0     0.8
## 2081            no male asymptomatic         94        281  202.0     0.8
## 2082            no male asymptomatic         94        281  202.0     0.8
## 2083            no male asymptomatic         94        281  202.0     0.8
## 2084            no male asymptomatic         94        281  202.0     0.8
## 2085            no male asymptomatic         94        281  202.0     0.8
## 2086            no male asymptomatic         94        281  202.0     0.8
## 2087            no male asymptomatic         94        281  202.0     0.8
## 2088            no male asymptomatic         94        281  202.0     0.8
## 2089            no male asymptomatic         94        281  202.0     0.8
## 2090            no male asymptomatic         94        281  202.0     0.8
## 2091            no male asymptomatic         94        281  202.0     0.8
## 2092            no male asymptomatic         94        281  202.0     0.8
## 2093            no male asymptomatic         94        281  202.0     0.8
## 2094            no male asymptomatic         94        281  202.0     0.8
## 2095            no male asymptomatic         94        281  202.0     0.8
## 2096            no male asymptomatic         94        281  202.0     0.8
## 2097            no male asymptomatic         94        281  202.0     0.8
## 2098            no male asymptomatic         94        281  202.0     0.8
## 2099            no male asymptomatic         94        281  202.0     0.8
## 2100            no male asymptomatic         94        281  202.0     0.8
## 2101            no male asymptomatic         94        281  202.0     0.8
## 2102            no male asymptomatic         94        281  202.0     0.8
## 2103            no male asymptomatic         94        281  202.0     0.8
## 2104            no male asymptomatic         94        281  202.0     0.8
## 2105            no male asymptomatic         94        281  202.0     0.8
## 2106            no male asymptomatic         94        281  202.0     0.8
## 2107            no male asymptomatic         94        281  202.0     1.6
## 2108            no male asymptomatic         94        281  202.0     1.6
## 2109            no male asymptomatic         94        281  202.0     1.6
## 2110            no male asymptomatic         94        281  202.0     1.6
## 2111            no male asymptomatic         94        281  202.0     1.6
## 2112            no male asymptomatic         94        281  202.0     1.6
## 2113            no male asymptomatic         94        281  202.0     1.6
## 2114            no male asymptomatic         94        281  202.0     1.6
## 2115            no male asymptomatic         94        281  202.0     1.6
## 2116            no male asymptomatic         94        281  202.0     1.6
## 2117            no male asymptomatic         94        281  202.0     1.6
## 2118            no male asymptomatic         94        281  202.0     1.6
## 2119            no male asymptomatic         94        281  202.0     1.6
## 2120            no male asymptomatic         94        281  202.0     1.6
## 2121            no male asymptomatic         94        281  202.0     1.6
## 2122            no male asymptomatic         94        281  202.0     1.6
## 2123            no male asymptomatic         94        281  202.0     1.6
## 2124            no male asymptomatic         94        281  202.0     1.6
## 2125            no male asymptomatic         94        281  202.0     1.6
## 2126            no male asymptomatic         94        281  202.0     1.6
## 2127            no male asymptomatic         94        281  202.0     1.6
## 2128            no male asymptomatic         94        281  202.0     1.6
## 2129            no male asymptomatic         94        281  202.0     1.6
## 2130            no male asymptomatic         94        281  202.0     1.6
## 2131            no male asymptomatic         94        281  202.0     1.6
## 2132            no male asymptomatic         94        281  202.0     1.6
## 2133            no male asymptomatic         94        281  202.0     1.6
## 2134            no male asymptomatic         94        281  202.0     6.2
## 2135            no male asymptomatic         94        281  202.0     6.2
## 2136            no male asymptomatic         94        281  202.0     6.2
## 2137            no male asymptomatic         94        281  202.0     6.2
## 2138            no male asymptomatic         94        281  202.0     6.2
## 2139            no male asymptomatic         94        281  202.0     6.2
## 2140            no male asymptomatic         94        281  202.0     6.2
## 2141            no male asymptomatic         94        281  202.0     6.2
## 2142            no male asymptomatic         94        281  202.0     6.2
## 2143            no male asymptomatic         94        281  202.0     6.2
## 2144            no male asymptomatic         94        281  202.0     6.2
## 2145            no male asymptomatic         94        281  202.0     6.2
## 2146            no male asymptomatic         94        281  202.0     6.2
## 2147            no male asymptomatic         94        281  202.0     6.2
## 2148            no male asymptomatic         94        281  202.0     6.2
## 2149            no male asymptomatic         94        281  202.0     6.2
## 2150            no male asymptomatic         94        281  202.0     6.2
## 2151            no male asymptomatic         94        281  202.0     6.2
## 2152            no male asymptomatic         94        281  202.0     6.2
## 2153            no male asymptomatic         94        281  202.0     6.2
## 2154            no male asymptomatic         94        281  202.0     6.2
## 2155            no male asymptomatic         94        281  202.0     6.2
## 2156            no male asymptomatic         94        281  202.0     6.2
## 2157            no male asymptomatic         94        281  202.0     6.2
## 2158            no male asymptomatic         94        281  202.0     6.2
## 2159            no male asymptomatic         94        281  202.0     6.2
## 2160            no male asymptomatic         94        281  202.0     6.2
## 2161            no male asymptomatic         94        564   71.0     0.0
## 2162            no male asymptomatic         94        564   71.0     0.0
## 2163            no male asymptomatic         94        564   71.0     0.0
## 2164            no male asymptomatic         94        564   71.0     0.0
## 2165            no male asymptomatic         94        564   71.0     0.0
## 2166            no male asymptomatic         94        564   71.0     0.0
## 2167            no male asymptomatic         94        564   71.0     0.0
## 2168            no male asymptomatic         94        564   71.0     0.0
## 2169            no male asymptomatic         94        564   71.0     0.0
## 2170            no male asymptomatic         94        564   71.0     0.0
## 2171            no male asymptomatic         94        564   71.0     0.0
## 2172            no male asymptomatic         94        564   71.0     0.0
## 2173            no male asymptomatic         94        564   71.0     0.0
## 2174            no male asymptomatic         94        564   71.0     0.0
## 2175            no male asymptomatic         94        564   71.0     0.0
## 2176            no male asymptomatic         94        564   71.0     0.0
## 2177            no male asymptomatic         94        564   71.0     0.0
## 2178            no male asymptomatic         94        564   71.0     0.0
## 2179            no male asymptomatic         94        564   71.0     0.0
## 2180            no male asymptomatic         94        564   71.0     0.0
## 2181            no male asymptomatic         94        564   71.0     0.0
## 2182            no male asymptomatic         94        564   71.0     0.0
## 2183            no male asymptomatic         94        564   71.0     0.0
## 2184            no male asymptomatic         94        564   71.0     0.0
## 2185            no male asymptomatic         94        564   71.0     0.0
## 2186            no male asymptomatic         94        564   71.0     0.0
## 2187            no male asymptomatic         94        564   71.0     0.0
## 2188            no male asymptomatic         94        564   71.0     0.8
## 2189            no male asymptomatic         94        564   71.0     0.8
## 2190            no male asymptomatic         94        564   71.0     0.8
## 2191            no male asymptomatic         94        564   71.0     0.8
## 2192            no male asymptomatic         94        564   71.0     0.8
## 2193            no male asymptomatic         94        564   71.0     0.8
## 2194            no male asymptomatic         94        564   71.0     0.8
## 2195            no male asymptomatic         94        564   71.0     0.8
## 2196            no male asymptomatic         94        564   71.0     0.8
## 2197            no male asymptomatic         94        564   71.0     0.8
## 2198            no male asymptomatic         94        564   71.0     0.8
## 2199            no male asymptomatic         94        564   71.0     0.8
## 2200            no male asymptomatic         94        564   71.0     0.8
## 2201            no male asymptomatic         94        564   71.0     0.8
## 2202            no male asymptomatic         94        564   71.0     0.8
## 2203            no male asymptomatic         94        564   71.0     0.8
## 2204            no male asymptomatic         94        564   71.0     0.8
## 2205            no male asymptomatic         94        564   71.0     0.8
## 2206            no male asymptomatic         94        564   71.0     0.8
## 2207            no male asymptomatic         94        564   71.0     0.8
## 2208            no male asymptomatic         94        564   71.0     0.8
## 2209            no male asymptomatic         94        564   71.0     0.8
## 2210            no male asymptomatic         94        564   71.0     0.8
## 2211            no male asymptomatic         94        564   71.0     0.8
## 2212            no male asymptomatic         94        564   71.0     0.8
## 2213            no male asymptomatic         94        564   71.0     0.8
## 2214            no male asymptomatic         94        564   71.0     0.8
## 2215            no male asymptomatic         94        564   71.0     1.6
## 2216            no male asymptomatic         94        564   71.0     1.6
## 2217            no male asymptomatic         94        564   71.0     1.6
## 2218            no male asymptomatic         94        564   71.0     1.6
## 2219            no male asymptomatic         94        564   71.0     1.6
## 2220            no male asymptomatic         94        564   71.0     1.6
## 2221            no male asymptomatic         94        564   71.0     1.6
## 2222            no male asymptomatic         94        564   71.0     1.6
## 2223            no male asymptomatic         94        564   71.0     1.6
## 2224            no male asymptomatic         94        564   71.0     1.6
## 2225            no male asymptomatic         94        564   71.0     1.6
## 2226            no male asymptomatic         94        564   71.0     1.6
## 2227            no male asymptomatic         94        564   71.0     1.6
## 2228            no male asymptomatic         94        564   71.0     1.6
## 2229            no male asymptomatic         94        564   71.0     1.6
## 2230            no male asymptomatic         94        564   71.0     1.6
## 2231            no male asymptomatic         94        564   71.0     1.6
## 2232            no male asymptomatic         94        564   71.0     1.6
## 2233            no male asymptomatic         94        564   71.0     1.6
## 2234            no male asymptomatic         94        564   71.0     1.6
## 2235            no male asymptomatic         94        564   71.0     1.6
## 2236            no male asymptomatic         94        564   71.0     1.6
## 2237            no male asymptomatic         94        564   71.0     1.6
## 2238            no male asymptomatic         94        564   71.0     1.6
## 2239            no male asymptomatic         94        564   71.0     1.6
## 2240            no male asymptomatic         94        564   71.0     1.6
## 2241            no male asymptomatic         94        564   71.0     1.6
## 2242            no male asymptomatic         94        564   71.0     6.2
## 2243            no male asymptomatic         94        564   71.0     6.2
## 2244            no male asymptomatic         94        564   71.0     6.2
## 2245            no male asymptomatic         94        564   71.0     6.2
## 2246            no male asymptomatic         94        564   71.0     6.2
## 2247            no male asymptomatic         94        564   71.0     6.2
## 2248            no male asymptomatic         94        564   71.0     6.2
## 2249            no male asymptomatic         94        564   71.0     6.2
## 2250            no male asymptomatic         94        564   71.0     6.2
## 2251            no male asymptomatic         94        564   71.0     6.2
## 2252            no male asymptomatic         94        564   71.0     6.2
## 2253            no male asymptomatic         94        564   71.0     6.2
## 2254            no male asymptomatic         94        564   71.0     6.2
## 2255            no male asymptomatic         94        564   71.0     6.2
## 2256            no male asymptomatic         94        564   71.0     6.2
## 2257            no male asymptomatic         94        564   71.0     6.2
## 2258            no male asymptomatic         94        564   71.0     6.2
## 2259            no male asymptomatic         94        564   71.0     6.2
## 2260            no male asymptomatic         94        564   71.0     6.2
## 2261            no male asymptomatic         94        564   71.0     6.2
## 2262            no male asymptomatic         94        564   71.0     6.2
## 2263            no male asymptomatic         94        564   71.0     6.2
## 2264            no male asymptomatic         94        564   71.0     6.2
## 2265            no male asymptomatic         94        564   71.0     6.2
## 2266            no male asymptomatic         94        564   71.0     6.2
## 2267            no male asymptomatic         94        564   71.0     6.2
## 2268            no male asymptomatic         94        564   71.0     6.2
## 2269            no male asymptomatic         94        564  133.0     0.0
## 2270            no male asymptomatic         94        564  133.0     0.0
## 2271            no male asymptomatic         94        564  133.0     0.0
## 2272            no male asymptomatic         94        564  133.0     0.0
## 2273            no male asymptomatic         94        564  133.0     0.0
## 2274            no male asymptomatic         94        564  133.0     0.0
## 2275            no male asymptomatic         94        564  133.0     0.0
## 2276            no male asymptomatic         94        564  133.0     0.0
## 2277            no male asymptomatic         94        564  133.0     0.0
## 2278            no male asymptomatic         94        564  133.0     0.0
## 2279            no male asymptomatic         94        564  133.0     0.0
## 2280            no male asymptomatic         94        564  133.0     0.0
## 2281            no male asymptomatic         94        564  133.0     0.0
## 2282            no male asymptomatic         94        564  133.0     0.0
## 2283            no male asymptomatic         94        564  133.0     0.0
## 2284            no male asymptomatic         94        564  133.0     0.0
## 2285            no male asymptomatic         94        564  133.0     0.0
## 2286            no male asymptomatic         94        564  133.0     0.0
## 2287            no male asymptomatic         94        564  133.0     0.0
## 2288            no male asymptomatic         94        564  133.0     0.0
## 2289            no male asymptomatic         94        564  133.0     0.0
## 2290            no male asymptomatic         94        564  133.0     0.0
## 2291            no male asymptomatic         94        564  133.0     0.0
## 2292            no male asymptomatic         94        564  133.0     0.0
## 2293            no male asymptomatic         94        564  133.0     0.0
## 2294            no male asymptomatic         94        564  133.0     0.0
## 2295            no male asymptomatic         94        564  133.0     0.0
## 2296            no male asymptomatic         94        564  133.0     0.8
## 2297            no male asymptomatic         94        564  133.0     0.8
## 2298            no male asymptomatic         94        564  133.0     0.8
## 2299            no male asymptomatic         94        564  133.0     0.8
## 2300            no male asymptomatic         94        564  133.0     0.8
## 2301            no male asymptomatic         94        564  133.0     0.8
## 2302            no male asymptomatic         94        564  133.0     0.8
## 2303            no male asymptomatic         94        564  133.0     0.8
## 2304            no male asymptomatic         94        564  133.0     0.8
## 2305            no male asymptomatic         94        564  133.0     0.8
## 2306            no male asymptomatic         94        564  133.0     0.8
## 2307            no male asymptomatic         94        564  133.0     0.8
## 2308            no male asymptomatic         94        564  133.0     0.8
## 2309            no male asymptomatic         94        564  133.0     0.8
## 2310            no male asymptomatic         94        564  133.0     0.8
## 2311            no male asymptomatic         94        564  133.0     0.8
## 2312            no male asymptomatic         94        564  133.0     0.8
## 2313            no male asymptomatic         94        564  133.0     0.8
## 2314            no male asymptomatic         94        564  133.0     0.8
## 2315            no male asymptomatic         94        564  133.0     0.8
## 2316            no male asymptomatic         94        564  133.0     0.8
## 2317            no male asymptomatic         94        564  133.0     0.8
## 2318            no male asymptomatic         94        564  133.0     0.8
## 2319            no male asymptomatic         94        564  133.0     0.8
## 2320            no male asymptomatic         94        564  133.0     0.8
## 2321            no male asymptomatic         94        564  133.0     0.8
## 2322            no male asymptomatic         94        564  133.0     0.8
## 2323            no male asymptomatic         94        564  133.0     1.6
## 2324            no male asymptomatic         94        564  133.0     1.6
## 2325            no male asymptomatic         94        564  133.0     1.6
## 2326            no male asymptomatic         94        564  133.0     1.6
## 2327            no male asymptomatic         94        564  133.0     1.6
## 2328            no male asymptomatic         94        564  133.0     1.6
## 2329            no male asymptomatic         94        564  133.0     1.6
## 2330            no male asymptomatic         94        564  133.0     1.6
## 2331            no male asymptomatic         94        564  133.0     1.6
## 2332            no male asymptomatic         94        564  133.0     1.6
## 2333            no male asymptomatic         94        564  133.0     1.6
## 2334            no male asymptomatic         94        564  133.0     1.6
## 2335            no male asymptomatic         94        564  133.0     1.6
## 2336            no male asymptomatic         94        564  133.0     1.6
## 2337            no male asymptomatic         94        564  133.0     1.6
## 2338            no male asymptomatic         94        564  133.0     1.6
## 2339            no male asymptomatic         94        564  133.0     1.6
## 2340            no male asymptomatic         94        564  133.0     1.6
## 2341            no male asymptomatic         94        564  133.0     1.6
## 2342            no male asymptomatic         94        564  133.0     1.6
## 2343            no male asymptomatic         94        564  133.0     1.6
## 2344            no male asymptomatic         94        564  133.0     1.6
## 2345            no male asymptomatic         94        564  133.0     1.6
## 2346            no male asymptomatic         94        564  133.0     1.6
## 2347            no male asymptomatic         94        564  133.0     1.6
## 2348            no male asymptomatic         94        564  133.0     1.6
## 2349            no male asymptomatic         94        564  133.0     1.6
## 2350            no male asymptomatic         94        564  133.0     6.2
## 2351            no male asymptomatic         94        564  133.0     6.2
## 2352            no male asymptomatic         94        564  133.0     6.2
## 2353            no male asymptomatic         94        564  133.0     6.2
## 2354            no male asymptomatic         94        564  133.0     6.2
## 2355            no male asymptomatic         94        564  133.0     6.2
## 2356            no male asymptomatic         94        564  133.0     6.2
## 2357            no male asymptomatic         94        564  133.0     6.2
## 2358            no male asymptomatic         94        564  133.0     6.2
## 2359            no male asymptomatic         94        564  133.0     6.2
## 2360            no male asymptomatic         94        564  133.0     6.2
## 2361            no male asymptomatic         94        564  133.0     6.2
## 2362            no male asymptomatic         94        564  133.0     6.2
## 2363            no male asymptomatic         94        564  133.0     6.2
## 2364            no male asymptomatic         94        564  133.0     6.2
## 2365            no male asymptomatic         94        564  133.0     6.2
## 2366            no male asymptomatic         94        564  133.0     6.2
## 2367            no male asymptomatic         94        564  133.0     6.2
## 2368            no male asymptomatic         94        564  133.0     6.2
## 2369            no male asymptomatic         94        564  133.0     6.2
## 2370            no male asymptomatic         94        564  133.0     6.2
## 2371            no male asymptomatic         94        564  133.0     6.2
## 2372            no male asymptomatic         94        564  133.0     6.2
## 2373            no male asymptomatic         94        564  133.0     6.2
## 2374            no male asymptomatic         94        564  133.0     6.2
## 2375            no male asymptomatic         94        564  133.0     6.2
## 2376            no male asymptomatic         94        564  133.0     6.2
## 2377            no male asymptomatic         94        564  153.5     0.0
## 2378            no male asymptomatic         94        564  153.5     0.0
## 2379            no male asymptomatic         94        564  153.5     0.0
## 2380            no male asymptomatic         94        564  153.5     0.0
## 2381            no male asymptomatic         94        564  153.5     0.0
## 2382            no male asymptomatic         94        564  153.5     0.0
## 2383            no male asymptomatic         94        564  153.5     0.0
## 2384            no male asymptomatic         94        564  153.5     0.0
## 2385            no male asymptomatic         94        564  153.5     0.0
## 2386            no male asymptomatic         94        564  153.5     0.0
## 2387            no male asymptomatic         94        564  153.5     0.0
## 2388            no male asymptomatic         94        564  153.5     0.0
## 2389            no male asymptomatic         94        564  153.5     0.0
## 2390            no male asymptomatic         94        564  153.5     0.0
## 2391            no male asymptomatic         94        564  153.5     0.0
## 2392            no male asymptomatic         94        564  153.5     0.0
## 2393            no male asymptomatic         94        564  153.5     0.0
## 2394            no male asymptomatic         94        564  153.5     0.0
## 2395            no male asymptomatic         94        564  153.5     0.0
## 2396            no male asymptomatic         94        564  153.5     0.0
## 2397            no male asymptomatic         94        564  153.5     0.0
## 2398            no male asymptomatic         94        564  153.5     0.0
## 2399            no male asymptomatic         94        564  153.5     0.0
## 2400            no male asymptomatic         94        564  153.5     0.0
## 2401            no male asymptomatic         94        564  153.5     0.0
## 2402            no male asymptomatic         94        564  153.5     0.0
## 2403            no male asymptomatic         94        564  153.5     0.0
## 2404            no male asymptomatic         94        564  153.5     0.8
## 2405            no male asymptomatic         94        564  153.5     0.8
## 2406            no male asymptomatic         94        564  153.5     0.8
## 2407            no male asymptomatic         94        564  153.5     0.8
## 2408            no male asymptomatic         94        564  153.5     0.8
## 2409            no male asymptomatic         94        564  153.5     0.8
## 2410            no male asymptomatic         94        564  153.5     0.8
## 2411            no male asymptomatic         94        564  153.5     0.8
## 2412            no male asymptomatic         94        564  153.5     0.8
## 2413            no male asymptomatic         94        564  153.5     0.8
## 2414            no male asymptomatic         94        564  153.5     0.8
## 2415            no male asymptomatic         94        564  153.5     0.8
## 2416            no male asymptomatic         94        564  153.5     0.8
## 2417            no male asymptomatic         94        564  153.5     0.8
## 2418            no male asymptomatic         94        564  153.5     0.8
## 2419            no male asymptomatic         94        564  153.5     0.8
## 2420            no male asymptomatic         94        564  153.5     0.8
## 2421            no male asymptomatic         94        564  153.5     0.8
## 2422            no male asymptomatic         94        564  153.5     0.8
## 2423            no male asymptomatic         94        564  153.5     0.8
## 2424            no male asymptomatic         94        564  153.5     0.8
## 2425            no male asymptomatic         94        564  153.5     0.8
## 2426            no male asymptomatic         94        564  153.5     0.8
## 2427            no male asymptomatic         94        564  153.5     0.8
## 2428            no male asymptomatic         94        564  153.5     0.8
## 2429            no male asymptomatic         94        564  153.5     0.8
## 2430            no male asymptomatic         94        564  153.5     0.8
## 2431            no male asymptomatic         94        564  153.5     1.6
## 2432            no male asymptomatic         94        564  153.5     1.6
## 2433            no male asymptomatic         94        564  153.5     1.6
## 2434            no male asymptomatic         94        564  153.5     1.6
## 2435            no male asymptomatic         94        564  153.5     1.6
## 2436            no male asymptomatic         94        564  153.5     1.6
## 2437            no male asymptomatic         94        564  153.5     1.6
## 2438            no male asymptomatic         94        564  153.5     1.6
## 2439            no male asymptomatic         94        564  153.5     1.6
## 2440            no male asymptomatic         94        564  153.5     1.6
## 2441            no male asymptomatic         94        564  153.5     1.6
## 2442            no male asymptomatic         94        564  153.5     1.6
## 2443            no male asymptomatic         94        564  153.5     1.6
## 2444            no male asymptomatic         94        564  153.5     1.6
## 2445            no male asymptomatic         94        564  153.5     1.6
## 2446            no male asymptomatic         94        564  153.5     1.6
## 2447            no male asymptomatic         94        564  153.5     1.6
## 2448            no male asymptomatic         94        564  153.5     1.6
## 2449            no male asymptomatic         94        564  153.5     1.6
## 2450            no male asymptomatic         94        564  153.5     1.6
## 2451            no male asymptomatic         94        564  153.5     1.6
## 2452            no male asymptomatic         94        564  153.5     1.6
## 2453            no male asymptomatic         94        564  153.5     1.6
## 2454            no male asymptomatic         94        564  153.5     1.6
## 2455            no male asymptomatic         94        564  153.5     1.6
## 2456            no male asymptomatic         94        564  153.5     1.6
## 2457            no male asymptomatic         94        564  153.5     1.6
## 2458            no male asymptomatic         94        564  153.5     6.2
## 2459            no male asymptomatic         94        564  153.5     6.2
## 2460            no male asymptomatic         94        564  153.5     6.2
## 2461            no male asymptomatic         94        564  153.5     6.2
## 2462            no male asymptomatic         94        564  153.5     6.2
## 2463            no male asymptomatic         94        564  153.5     6.2
## 2464            no male asymptomatic         94        564  153.5     6.2
## 2465            no male asymptomatic         94        564  153.5     6.2
## 2466            no male asymptomatic         94        564  153.5     6.2
## 2467            no male asymptomatic         94        564  153.5     6.2
## 2468            no male asymptomatic         94        564  153.5     6.2
## 2469            no male asymptomatic         94        564  153.5     6.2
## 2470            no male asymptomatic         94        564  153.5     6.2
## 2471            no male asymptomatic         94        564  153.5     6.2
## 2472            no male asymptomatic         94        564  153.5     6.2
## 2473            no male asymptomatic         94        564  153.5     6.2
## 2474            no male asymptomatic         94        564  153.5     6.2
## 2475            no male asymptomatic         94        564  153.5     6.2
## 2476            no male asymptomatic         94        564  153.5     6.2
## 2477            no male asymptomatic         94        564  153.5     6.2
## 2478            no male asymptomatic         94        564  153.5     6.2
## 2479            no male asymptomatic         94        564  153.5     6.2
## 2480            no male asymptomatic         94        564  153.5     6.2
## 2481            no male asymptomatic         94        564  153.5     6.2
## 2482            no male asymptomatic         94        564  153.5     6.2
## 2483            no male asymptomatic         94        564  153.5     6.2
## 2484            no male asymptomatic         94        564  153.5     6.2
## 2485            no male asymptomatic         94        564  166.0     0.0
## 2486            no male asymptomatic         94        564  166.0     0.0
## 2487            no male asymptomatic         94        564  166.0     0.0
## 2488            no male asymptomatic         94        564  166.0     0.0
## 2489            no male asymptomatic         94        564  166.0     0.0
## 2490            no male asymptomatic         94        564  166.0     0.0
## 2491            no male asymptomatic         94        564  166.0     0.0
## 2492            no male asymptomatic         94        564  166.0     0.0
## 2493            no male asymptomatic         94        564  166.0     0.0
## 2494            no male asymptomatic         94        564  166.0     0.0
## 2495            no male asymptomatic         94        564  166.0     0.0
## 2496            no male asymptomatic         94        564  166.0     0.0
## 2497            no male asymptomatic         94        564  166.0     0.0
## 2498            no male asymptomatic         94        564  166.0     0.0
## 2499            no male asymptomatic         94        564  166.0     0.0
## 2500            no male asymptomatic         94        564  166.0     0.0
## 2501            no male asymptomatic         94        564  166.0     0.0
## 2502            no male asymptomatic         94        564  166.0     0.0
## 2503            no male asymptomatic         94        564  166.0     0.0
## 2504            no male asymptomatic         94        564  166.0     0.0
## 2505            no male asymptomatic         94        564  166.0     0.0
## 2506            no male asymptomatic         94        564  166.0     0.0
## 2507            no male asymptomatic         94        564  166.0     0.0
## 2508            no male asymptomatic         94        564  166.0     0.0
## 2509            no male asymptomatic         94        564  166.0     0.0
## 2510            no male asymptomatic         94        564  166.0     0.0
## 2511            no male asymptomatic         94        564  166.0     0.0
## 2512            no male asymptomatic         94        564  166.0     0.8
## 2513            no male asymptomatic         94        564  166.0     0.8
## 2514            no male asymptomatic         94        564  166.0     0.8
## 2515            no male asymptomatic         94        564  166.0     0.8
## 2516            no male asymptomatic         94        564  166.0     0.8
## 2517            no male asymptomatic         94        564  166.0     0.8
## 2518            no male asymptomatic         94        564  166.0     0.8
## 2519            no male asymptomatic         94        564  166.0     0.8
## 2520            no male asymptomatic         94        564  166.0     0.8
## 2521            no male asymptomatic         94        564  166.0     0.8
## 2522            no male asymptomatic         94        564  166.0     0.8
## 2523            no male asymptomatic         94        564  166.0     0.8
## 2524            no male asymptomatic         94        564  166.0     0.8
## 2525            no male asymptomatic         94        564  166.0     0.8
## 2526            no male asymptomatic         94        564  166.0     0.8
## 2527            no male asymptomatic         94        564  166.0     0.8
## 2528            no male asymptomatic         94        564  166.0     0.8
## 2529            no male asymptomatic         94        564  166.0     0.8
## 2530            no male asymptomatic         94        564  166.0     0.8
## 2531            no male asymptomatic         94        564  166.0     0.8
## 2532            no male asymptomatic         94        564  166.0     0.8
## 2533            no male asymptomatic         94        564  166.0     0.8
## 2534            no male asymptomatic         94        564  166.0     0.8
## 2535            no male asymptomatic         94        564  166.0     0.8
## 2536            no male asymptomatic         94        564  166.0     0.8
## 2537            no male asymptomatic         94        564  166.0     0.8
## 2538            no male asymptomatic         94        564  166.0     0.8
## 2539            no male asymptomatic         94        564  166.0     1.6
## 2540            no male asymptomatic         94        564  166.0     1.6
## 2541            no male asymptomatic         94        564  166.0     1.6
## 2542            no male asymptomatic         94        564  166.0     1.6
## 2543            no male asymptomatic         94        564  166.0     1.6
## 2544            no male asymptomatic         94        564  166.0     1.6
## 2545            no male asymptomatic         94        564  166.0     1.6
## 2546            no male asymptomatic         94        564  166.0     1.6
## 2547            no male asymptomatic         94        564  166.0     1.6
## 2548            no male asymptomatic         94        564  166.0     1.6
## 2549            no male asymptomatic         94        564  166.0     1.6
## 2550            no male asymptomatic         94        564  166.0     1.6
## 2551            no male asymptomatic         94        564  166.0     1.6
## 2552            no male asymptomatic         94        564  166.0     1.6
## 2553            no male asymptomatic         94        564  166.0     1.6
## 2554            no male asymptomatic         94        564  166.0     1.6
## 2555            no male asymptomatic         94        564  166.0     1.6
## 2556            no male asymptomatic         94        564  166.0     1.6
## 2557            no male asymptomatic         94        564  166.0     1.6
## 2558            no male asymptomatic         94        564  166.0     1.6
## 2559            no male asymptomatic         94        564  166.0     1.6
## 2560            no male asymptomatic         94        564  166.0     1.6
## 2561            no male asymptomatic         94        564  166.0     1.6
## 2562            no male asymptomatic         94        564  166.0     1.6
## 2563            no male asymptomatic         94        564  166.0     1.6
## 2564            no male asymptomatic         94        564  166.0     1.6
## 2565            no male asymptomatic         94        564  166.0     1.6
## 2566            no male asymptomatic         94        564  166.0     6.2
## 2567            no male asymptomatic         94        564  166.0     6.2
## 2568            no male asymptomatic         94        564  166.0     6.2
## 2569            no male asymptomatic         94        564  166.0     6.2
## 2570            no male asymptomatic         94        564  166.0     6.2
## 2571            no male asymptomatic         94        564  166.0     6.2
## 2572            no male asymptomatic         94        564  166.0     6.2
## 2573            no male asymptomatic         94        564  166.0     6.2
## 2574            no male asymptomatic         94        564  166.0     6.2
## 2575            no male asymptomatic         94        564  166.0     6.2
## 2576            no male asymptomatic         94        564  166.0     6.2
## 2577            no male asymptomatic         94        564  166.0     6.2
## 2578            no male asymptomatic         94        564  166.0     6.2
## 2579            no male asymptomatic         94        564  166.0     6.2
## 2580            no male asymptomatic         94        564  166.0     6.2
## 2581            no male asymptomatic         94        564  166.0     6.2
## 2582            no male asymptomatic         94        564  166.0     6.2
## 2583            no male asymptomatic         94        564  166.0     6.2
## 2584            no male asymptomatic         94        564  166.0     6.2
## 2585            no male asymptomatic         94        564  166.0     6.2
## 2586            no male asymptomatic         94        564  166.0     6.2
## 2587            no male asymptomatic         94        564  166.0     6.2
## 2588            no male asymptomatic         94        564  166.0     6.2
## 2589            no male asymptomatic         94        564  166.0     6.2
## 2590            no male asymptomatic         94        564  166.0     6.2
## 2591            no male asymptomatic         94        564  166.0     6.2
## 2592            no male asymptomatic         94        564  166.0     6.2
## 2593            no male asymptomatic         94        564  202.0     0.0
## 2594            no male asymptomatic         94        564  202.0     0.0
## 2595            no male asymptomatic         94        564  202.0     0.0
## 2596            no male asymptomatic         94        564  202.0     0.0
## 2597            no male asymptomatic         94        564  202.0     0.0
## 2598            no male asymptomatic         94        564  202.0     0.0
## 2599            no male asymptomatic         94        564  202.0     0.0
## 2600            no male asymptomatic         94        564  202.0     0.0
## 2601            no male asymptomatic         94        564  202.0     0.0
## 2602            no male asymptomatic         94        564  202.0     0.0
## 2603            no male asymptomatic         94        564  202.0     0.0
## 2604            no male asymptomatic         94        564  202.0     0.0
## 2605            no male asymptomatic         94        564  202.0     0.0
## 2606            no male asymptomatic         94        564  202.0     0.0
## 2607            no male asymptomatic         94        564  202.0     0.0
## 2608            no male asymptomatic         94        564  202.0     0.0
## 2609            no male asymptomatic         94        564  202.0     0.0
## 2610            no male asymptomatic         94        564  202.0     0.0
## 2611            no male asymptomatic         94        564  202.0     0.0
## 2612            no male asymptomatic         94        564  202.0     0.0
## 2613            no male asymptomatic         94        564  202.0     0.0
## 2614            no male asymptomatic         94        564  202.0     0.0
## 2615            no male asymptomatic         94        564  202.0     0.0
## 2616            no male asymptomatic         94        564  202.0     0.0
## 2617            no male asymptomatic         94        564  202.0     0.0
## 2618            no male asymptomatic         94        564  202.0     0.0
## 2619            no male asymptomatic         94        564  202.0     0.0
## 2620            no male asymptomatic         94        564  202.0     0.8
## 2621            no male asymptomatic         94        564  202.0     0.8
## 2622            no male asymptomatic         94        564  202.0     0.8
## 2623            no male asymptomatic         94        564  202.0     0.8
## 2624            no male asymptomatic         94        564  202.0     0.8
## 2625            no male asymptomatic         94        564  202.0     0.8
## 2626            no male asymptomatic         94        564  202.0     0.8
## 2627            no male asymptomatic         94        564  202.0     0.8
## 2628            no male asymptomatic         94        564  202.0     0.8
## 2629            no male asymptomatic         94        564  202.0     0.8
## 2630            no male asymptomatic         94        564  202.0     0.8
## 2631            no male asymptomatic         94        564  202.0     0.8
## 2632            no male asymptomatic         94        564  202.0     0.8
## 2633            no male asymptomatic         94        564  202.0     0.8
## 2634            no male asymptomatic         94        564  202.0     0.8
## 2635            no male asymptomatic         94        564  202.0     0.8
## 2636            no male asymptomatic         94        564  202.0     0.8
## 2637            no male asymptomatic         94        564  202.0     0.8
## 2638            no male asymptomatic         94        564  202.0     0.8
## 2639            no male asymptomatic         94        564  202.0     0.8
## 2640            no male asymptomatic         94        564  202.0     0.8
## 2641            no male asymptomatic         94        564  202.0     0.8
## 2642            no male asymptomatic         94        564  202.0     0.8
## 2643            no male asymptomatic         94        564  202.0     0.8
## 2644            no male asymptomatic         94        564  202.0     0.8
## 2645            no male asymptomatic         94        564  202.0     0.8
## 2646            no male asymptomatic         94        564  202.0     0.8
## 2647            no male asymptomatic         94        564  202.0     1.6
## 2648            no male asymptomatic         94        564  202.0     1.6
## 2649            no male asymptomatic         94        564  202.0     1.6
## 2650            no male asymptomatic         94        564  202.0     1.6
## 2651            no male asymptomatic         94        564  202.0     1.6
## 2652            no male asymptomatic         94        564  202.0     1.6
## 2653            no male asymptomatic         94        564  202.0     1.6
## 2654            no male asymptomatic         94        564  202.0     1.6
## 2655            no male asymptomatic         94        564  202.0     1.6
## 2656            no male asymptomatic         94        564  202.0     1.6
## 2657            no male asymptomatic         94        564  202.0     1.6
## 2658            no male asymptomatic         94        564  202.0     1.6
## 2659            no male asymptomatic         94        564  202.0     1.6
## 2660            no male asymptomatic         94        564  202.0     1.6
## 2661            no male asymptomatic         94        564  202.0     1.6
## 2662            no male asymptomatic         94        564  202.0     1.6
## 2663            no male asymptomatic         94        564  202.0     1.6
## 2664            no male asymptomatic         94        564  202.0     1.6
## 2665            no male asymptomatic         94        564  202.0     1.6
## 2666            no male asymptomatic         94        564  202.0     1.6
## 2667            no male asymptomatic         94        564  202.0     1.6
## 2668            no male asymptomatic         94        564  202.0     1.6
## 2669            no male asymptomatic         94        564  202.0     1.6
## 2670            no male asymptomatic         94        564  202.0     1.6
## 2671            no male asymptomatic         94        564  202.0     1.6
## 2672            no male asymptomatic         94        564  202.0     1.6
## 2673            no male asymptomatic         94        564  202.0     1.6
## 2674            no male asymptomatic         94        564  202.0     6.2
## 2675            no male asymptomatic         94        564  202.0     6.2
## 2676            no male asymptomatic         94        564  202.0     6.2
## 2677            no male asymptomatic         94        564  202.0     6.2
## 2678            no male asymptomatic         94        564  202.0     6.2
## 2679            no male asymptomatic         94        564  202.0     6.2
## 2680            no male asymptomatic         94        564  202.0     6.2
## 2681            no male asymptomatic         94        564  202.0     6.2
## 2682            no male asymptomatic         94        564  202.0     6.2
## 2683            no male asymptomatic         94        564  202.0     6.2
## 2684            no male asymptomatic         94        564  202.0     6.2
## 2685            no male asymptomatic         94        564  202.0     6.2
## 2686            no male asymptomatic         94        564  202.0     6.2
## 2687            no male asymptomatic         94        564  202.0     6.2
## 2688            no male asymptomatic         94        564  202.0     6.2
## 2689            no male asymptomatic         94        564  202.0     6.2
## 2690            no male asymptomatic         94        564  202.0     6.2
## 2691            no male asymptomatic         94        564  202.0     6.2
## 2692            no male asymptomatic         94        564  202.0     6.2
## 2693            no male asymptomatic         94        564  202.0     6.2
## 2694            no male asymptomatic         94        564  202.0     6.2
## 2695            no male asymptomatic         94        564  202.0     6.2
## 2696            no male asymptomatic         94        564  202.0     6.2
## 2697            no male asymptomatic         94        564  202.0     6.2
## 2698            no male asymptomatic         94        564  202.0     6.2
## 2699            no male asymptomatic         94        564  202.0     6.2
## 2700            no male asymptomatic         94        564  202.0     6.2
## 2701            no male asymptomatic        120        126   71.0     0.0
## 2702            no male asymptomatic        120        126   71.0     0.0
## 2703            no male asymptomatic        120        126   71.0     0.0
## 2704            no male asymptomatic        120        126   71.0     0.0
## 2705            no male asymptomatic        120        126   71.0     0.0
## 2706            no male asymptomatic        120        126   71.0     0.0
## 2707            no male asymptomatic        120        126   71.0     0.0
## 2708            no male asymptomatic        120        126   71.0     0.0
## 2709            no male asymptomatic        120        126   71.0     0.0
## 2710            no male asymptomatic        120        126   71.0     0.0
## 2711            no male asymptomatic        120        126   71.0     0.0
## 2712            no male asymptomatic        120        126   71.0     0.0
## 2713            no male asymptomatic        120        126   71.0     0.0
## 2714            no male asymptomatic        120        126   71.0     0.0
## 2715            no male asymptomatic        120        126   71.0     0.0
## 2716            no male asymptomatic        120        126   71.0     0.0
## 2717            no male asymptomatic        120        126   71.0     0.0
## 2718            no male asymptomatic        120        126   71.0     0.0
## 2719            no male asymptomatic        120        126   71.0     0.0
## 2720            no male asymptomatic        120        126   71.0     0.0
## 2721            no male asymptomatic        120        126   71.0     0.0
## 2722            no male asymptomatic        120        126   71.0     0.0
## 2723            no male asymptomatic        120        126   71.0     0.0
## 2724            no male asymptomatic        120        126   71.0     0.0
## 2725            no male asymptomatic        120        126   71.0     0.0
## 2726            no male asymptomatic        120        126   71.0     0.0
## 2727            no male asymptomatic        120        126   71.0     0.0
## 2728            no male asymptomatic        120        126   71.0     0.8
## 2729            no male asymptomatic        120        126   71.0     0.8
## 2730            no male asymptomatic        120        126   71.0     0.8
## 2731            no male asymptomatic        120        126   71.0     0.8
## 2732            no male asymptomatic        120        126   71.0     0.8
## 2733            no male asymptomatic        120        126   71.0     0.8
## 2734            no male asymptomatic        120        126   71.0     0.8
## 2735            no male asymptomatic        120        126   71.0     0.8
## 2736            no male asymptomatic        120        126   71.0     0.8
## 2737            no male asymptomatic        120        126   71.0     0.8
## 2738            no male asymptomatic        120        126   71.0     0.8
## 2739            no male asymptomatic        120        126   71.0     0.8
## 2740            no male asymptomatic        120        126   71.0     0.8
## 2741            no male asymptomatic        120        126   71.0     0.8
## 2742            no male asymptomatic        120        126   71.0     0.8
## 2743            no male asymptomatic        120        126   71.0     0.8
## 2744            no male asymptomatic        120        126   71.0     0.8
## 2745            no male asymptomatic        120        126   71.0     0.8
## 2746            no male asymptomatic        120        126   71.0     0.8
## 2747            no male asymptomatic        120        126   71.0     0.8
## 2748            no male asymptomatic        120        126   71.0     0.8
## 2749            no male asymptomatic        120        126   71.0     0.8
## 2750            no male asymptomatic        120        126   71.0     0.8
## 2751            no male asymptomatic        120        126   71.0     0.8
## 2752            no male asymptomatic        120        126   71.0     0.8
## 2753            no male asymptomatic        120        126   71.0     0.8
## 2754            no male asymptomatic        120        126   71.0     0.8
## 2755            no male asymptomatic        120        126   71.0     1.6
## 2756            no male asymptomatic        120        126   71.0     1.6
## 2757            no male asymptomatic        120        126   71.0     1.6
## 2758            no male asymptomatic        120        126   71.0     1.6
## 2759            no male asymptomatic        120        126   71.0     1.6
## 2760            no male asymptomatic        120        126   71.0     1.6
## 2761            no male asymptomatic        120        126   71.0     1.6
## 2762            no male asymptomatic        120        126   71.0     1.6
## 2763            no male asymptomatic        120        126   71.0     1.6
## 2764            no male asymptomatic        120        126   71.0     1.6
## 2765            no male asymptomatic        120        126   71.0     1.6
## 2766            no male asymptomatic        120        126   71.0     1.6
## 2767            no male asymptomatic        120        126   71.0     1.6
## 2768            no male asymptomatic        120        126   71.0     1.6
## 2769            no male asymptomatic        120        126   71.0     1.6
## 2770            no male asymptomatic        120        126   71.0     1.6
## 2771            no male asymptomatic        120        126   71.0     1.6
## 2772            no male asymptomatic        120        126   71.0     1.6
## 2773            no male asymptomatic        120        126   71.0     1.6
## 2774            no male asymptomatic        120        126   71.0     1.6
## 2775            no male asymptomatic        120        126   71.0     1.6
## 2776            no male asymptomatic        120        126   71.0     1.6
## 2777            no male asymptomatic        120        126   71.0     1.6
## 2778            no male asymptomatic        120        126   71.0     1.6
## 2779            no male asymptomatic        120        126   71.0     1.6
## 2780            no male asymptomatic        120        126   71.0     1.6
## 2781            no male asymptomatic        120        126   71.0     1.6
## 2782            no male asymptomatic        120        126   71.0     6.2
## 2783            no male asymptomatic        120        126   71.0     6.2
## 2784            no male asymptomatic        120        126   71.0     6.2
## 2785            no male asymptomatic        120        126   71.0     6.2
## 2786            no male asymptomatic        120        126   71.0     6.2
## 2787            no male asymptomatic        120        126   71.0     6.2
## 2788            no male asymptomatic        120        126   71.0     6.2
## 2789            no male asymptomatic        120        126   71.0     6.2
## 2790            no male asymptomatic        120        126   71.0     6.2
## 2791            no male asymptomatic        120        126   71.0     6.2
## 2792            no male asymptomatic        120        126   71.0     6.2
## 2793            no male asymptomatic        120        126   71.0     6.2
## 2794            no male asymptomatic        120        126   71.0     6.2
## 2795            no male asymptomatic        120        126   71.0     6.2
## 2796            no male asymptomatic        120        126   71.0     6.2
## 2797            no male asymptomatic        120        126   71.0     6.2
## 2798            no male asymptomatic        120        126   71.0     6.2
## 2799            no male asymptomatic        120        126   71.0     6.2
## 2800            no male asymptomatic        120        126   71.0     6.2
## 2801            no male asymptomatic        120        126   71.0     6.2
## 2802            no male asymptomatic        120        126   71.0     6.2
## 2803            no male asymptomatic        120        126   71.0     6.2
## 2804            no male asymptomatic        120        126   71.0     6.2
## 2805            no male asymptomatic        120        126   71.0     6.2
## 2806            no male asymptomatic        120        126   71.0     6.2
## 2807            no male asymptomatic        120        126   71.0     6.2
## 2808            no male asymptomatic        120        126   71.0     6.2
## 2809            no male asymptomatic        120        126  133.0     0.0
## 2810            no male asymptomatic        120        126  133.0     0.0
## 2811            no male asymptomatic        120        126  133.0     0.0
## 2812            no male asymptomatic        120        126  133.0     0.0
## 2813            no male asymptomatic        120        126  133.0     0.0
## 2814            no male asymptomatic        120        126  133.0     0.0
## 2815            no male asymptomatic        120        126  133.0     0.0
## 2816            no male asymptomatic        120        126  133.0     0.0
## 2817            no male asymptomatic        120        126  133.0     0.0
## 2818            no male asymptomatic        120        126  133.0     0.0
## 2819            no male asymptomatic        120        126  133.0     0.0
## 2820            no male asymptomatic        120        126  133.0     0.0
## 2821            no male asymptomatic        120        126  133.0     0.0
## 2822            no male asymptomatic        120        126  133.0     0.0
## 2823            no male asymptomatic        120        126  133.0     0.0
## 2824            no male asymptomatic        120        126  133.0     0.0
## 2825            no male asymptomatic        120        126  133.0     0.0
## 2826            no male asymptomatic        120        126  133.0     0.0
## 2827            no male asymptomatic        120        126  133.0     0.0
## 2828            no male asymptomatic        120        126  133.0     0.0
## 2829            no male asymptomatic        120        126  133.0     0.0
## 2830            no male asymptomatic        120        126  133.0     0.0
## 2831            no male asymptomatic        120        126  133.0     0.0
## 2832            no male asymptomatic        120        126  133.0     0.0
## 2833            no male asymptomatic        120        126  133.0     0.0
## 2834            no male asymptomatic        120        126  133.0     0.0
## 2835            no male asymptomatic        120        126  133.0     0.0
## 2836            no male asymptomatic        120        126  133.0     0.8
## 2837            no male asymptomatic        120        126  133.0     0.8
## 2838            no male asymptomatic        120        126  133.0     0.8
## 2839            no male asymptomatic        120        126  133.0     0.8
## 2840            no male asymptomatic        120        126  133.0     0.8
## 2841            no male asymptomatic        120        126  133.0     0.8
## 2842            no male asymptomatic        120        126  133.0     0.8
## 2843            no male asymptomatic        120        126  133.0     0.8
## 2844            no male asymptomatic        120        126  133.0     0.8
## 2845            no male asymptomatic        120        126  133.0     0.8
## 2846            no male asymptomatic        120        126  133.0     0.8
## 2847            no male asymptomatic        120        126  133.0     0.8
## 2848            no male asymptomatic        120        126  133.0     0.8
## 2849            no male asymptomatic        120        126  133.0     0.8
## 2850            no male asymptomatic        120        126  133.0     0.8
## 2851            no male asymptomatic        120        126  133.0     0.8
## 2852            no male asymptomatic        120        126  133.0     0.8
## 2853            no male asymptomatic        120        126  133.0     0.8
## 2854            no male asymptomatic        120        126  133.0     0.8
## 2855            no male asymptomatic        120        126  133.0     0.8
## 2856            no male asymptomatic        120        126  133.0     0.8
## 2857            no male asymptomatic        120        126  133.0     0.8
## 2858            no male asymptomatic        120        126  133.0     0.8
## 2859            no male asymptomatic        120        126  133.0     0.8
## 2860            no male asymptomatic        120        126  133.0     0.8
## 2861            no male asymptomatic        120        126  133.0     0.8
## 2862            no male asymptomatic        120        126  133.0     0.8
## 2863            no male asymptomatic        120        126  133.0     1.6
## 2864            no male asymptomatic        120        126  133.0     1.6
## 2865            no male asymptomatic        120        126  133.0     1.6
## 2866            no male asymptomatic        120        126  133.0     1.6
## 2867            no male asymptomatic        120        126  133.0     1.6
## 2868            no male asymptomatic        120        126  133.0     1.6
## 2869            no male asymptomatic        120        126  133.0     1.6
## 2870            no male asymptomatic        120        126  133.0     1.6
## 2871            no male asymptomatic        120        126  133.0     1.6
## 2872            no male asymptomatic        120        126  133.0     1.6
## 2873            no male asymptomatic        120        126  133.0     1.6
## 2874            no male asymptomatic        120        126  133.0     1.6
## 2875            no male asymptomatic        120        126  133.0     1.6
## 2876            no male asymptomatic        120        126  133.0     1.6
## 2877            no male asymptomatic        120        126  133.0     1.6
## 2878            no male asymptomatic        120        126  133.0     1.6
## 2879            no male asymptomatic        120        126  133.0     1.6
## 2880            no male asymptomatic        120        126  133.0     1.6
## 2881            no male asymptomatic        120        126  133.0     1.6
## 2882            no male asymptomatic        120        126  133.0     1.6
## 2883            no male asymptomatic        120        126  133.0     1.6
## 2884            no male asymptomatic        120        126  133.0     1.6
## 2885            no male asymptomatic        120        126  133.0     1.6
## 2886            no male asymptomatic        120        126  133.0     1.6
## 2887            no male asymptomatic        120        126  133.0     1.6
## 2888            no male asymptomatic        120        126  133.0     1.6
## 2889            no male asymptomatic        120        126  133.0     1.6
## 2890            no male asymptomatic        120        126  133.0     6.2
## 2891            no male asymptomatic        120        126  133.0     6.2
## 2892            no male asymptomatic        120        126  133.0     6.2
## 2893            no male asymptomatic        120        126  133.0     6.2
## 2894            no male asymptomatic        120        126  133.0     6.2
## 2895            no male asymptomatic        120        126  133.0     6.2
## 2896            no male asymptomatic        120        126  133.0     6.2
## 2897            no male asymptomatic        120        126  133.0     6.2
## 2898            no male asymptomatic        120        126  133.0     6.2
## 2899            no male asymptomatic        120        126  133.0     6.2
## 2900            no male asymptomatic        120        126  133.0     6.2
## 2901            no male asymptomatic        120        126  133.0     6.2
## 2902            no male asymptomatic        120        126  133.0     6.2
## 2903            no male asymptomatic        120        126  133.0     6.2
## 2904            no male asymptomatic        120        126  133.0     6.2
## 2905            no male asymptomatic        120        126  133.0     6.2
## 2906            no male asymptomatic        120        126  133.0     6.2
## 2907            no male asymptomatic        120        126  133.0     6.2
## 2908            no male asymptomatic        120        126  133.0     6.2
## 2909            no male asymptomatic        120        126  133.0     6.2
## 2910            no male asymptomatic        120        126  133.0     6.2
## 2911            no male asymptomatic        120        126  133.0     6.2
## 2912            no male asymptomatic        120        126  133.0     6.2
## 2913            no male asymptomatic        120        126  133.0     6.2
## 2914            no male asymptomatic        120        126  133.0     6.2
## 2915            no male asymptomatic        120        126  133.0     6.2
## 2916            no male asymptomatic        120        126  133.0     6.2
## 2917            no male asymptomatic        120        126  153.5     0.0
## 2918            no male asymptomatic        120        126  153.5     0.0
## 2919            no male asymptomatic        120        126  153.5     0.0
## 2920            no male asymptomatic        120        126  153.5     0.0
## 2921            no male asymptomatic        120        126  153.5     0.0
## 2922            no male asymptomatic        120        126  153.5     0.0
## 2923            no male asymptomatic        120        126  153.5     0.0
## 2924            no male asymptomatic        120        126  153.5     0.0
## 2925            no male asymptomatic        120        126  153.5     0.0
## 2926            no male asymptomatic        120        126  153.5     0.0
## 2927            no male asymptomatic        120        126  153.5     0.0
## 2928            no male asymptomatic        120        126  153.5     0.0
## 2929            no male asymptomatic        120        126  153.5     0.0
## 2930            no male asymptomatic        120        126  153.5     0.0
## 2931            no male asymptomatic        120        126  153.5     0.0
## 2932            no male asymptomatic        120        126  153.5     0.0
## 2933            no male asymptomatic        120        126  153.5     0.0
## 2934            no male asymptomatic        120        126  153.5     0.0
## 2935            no male asymptomatic        120        126  153.5     0.0
## 2936            no male asymptomatic        120        126  153.5     0.0
## 2937            no male asymptomatic        120        126  153.5     0.0
## 2938            no male asymptomatic        120        126  153.5     0.0
## 2939            no male asymptomatic        120        126  153.5     0.0
## 2940            no male asymptomatic        120        126  153.5     0.0
## 2941            no male asymptomatic        120        126  153.5     0.0
## 2942            no male asymptomatic        120        126  153.5     0.0
## 2943            no male asymptomatic        120        126  153.5     0.0
## 2944            no male asymptomatic        120        126  153.5     0.8
## 2945            no male asymptomatic        120        126  153.5     0.8
## 2946            no male asymptomatic        120        126  153.5     0.8
## 2947            no male asymptomatic        120        126  153.5     0.8
## 2948            no male asymptomatic        120        126  153.5     0.8
## 2949            no male asymptomatic        120        126  153.5     0.8
## 2950            no male asymptomatic        120        126  153.5     0.8
## 2951            no male asymptomatic        120        126  153.5     0.8
## 2952            no male asymptomatic        120        126  153.5     0.8
## 2953            no male asymptomatic        120        126  153.5     0.8
## 2954            no male asymptomatic        120        126  153.5     0.8
## 2955            no male asymptomatic        120        126  153.5     0.8
## 2956            no male asymptomatic        120        126  153.5     0.8
## 2957            no male asymptomatic        120        126  153.5     0.8
## 2958            no male asymptomatic        120        126  153.5     0.8
## 2959            no male asymptomatic        120        126  153.5     0.8
## 2960            no male asymptomatic        120        126  153.5     0.8
## 2961            no male asymptomatic        120        126  153.5     0.8
## 2962            no male asymptomatic        120        126  153.5     0.8
## 2963            no male asymptomatic        120        126  153.5     0.8
## 2964            no male asymptomatic        120        126  153.5     0.8
## 2965            no male asymptomatic        120        126  153.5     0.8
## 2966            no male asymptomatic        120        126  153.5     0.8
## 2967            no male asymptomatic        120        126  153.5     0.8
## 2968            no male asymptomatic        120        126  153.5     0.8
## 2969            no male asymptomatic        120        126  153.5     0.8
## 2970            no male asymptomatic        120        126  153.5     0.8
## 2971            no male asymptomatic        120        126  153.5     1.6
## 2972            no male asymptomatic        120        126  153.5     1.6
## 2973            no male asymptomatic        120        126  153.5     1.6
## 2974            no male asymptomatic        120        126  153.5     1.6
## 2975            no male asymptomatic        120        126  153.5     1.6
## 2976            no male asymptomatic        120        126  153.5     1.6
## 2977            no male asymptomatic        120        126  153.5     1.6
## 2978            no male asymptomatic        120        126  153.5     1.6
## 2979            no male asymptomatic        120        126  153.5     1.6
## 2980            no male asymptomatic        120        126  153.5     1.6
## 2981            no male asymptomatic        120        126  153.5     1.6
## 2982            no male asymptomatic        120        126  153.5     1.6
## 2983            no male asymptomatic        120        126  153.5     1.6
## 2984            no male asymptomatic        120        126  153.5     1.6
## 2985            no male asymptomatic        120        126  153.5     1.6
## 2986            no male asymptomatic        120        126  153.5     1.6
## 2987            no male asymptomatic        120        126  153.5     1.6
## 2988            no male asymptomatic        120        126  153.5     1.6
## 2989            no male asymptomatic        120        126  153.5     1.6
## 2990            no male asymptomatic        120        126  153.5     1.6
## 2991            no male asymptomatic        120        126  153.5     1.6
## 2992            no male asymptomatic        120        126  153.5     1.6
## 2993            no male asymptomatic        120        126  153.5     1.6
## 2994            no male asymptomatic        120        126  153.5     1.6
## 2995            no male asymptomatic        120        126  153.5     1.6
## 2996            no male asymptomatic        120        126  153.5     1.6
## 2997            no male asymptomatic        120        126  153.5     1.6
## 2998            no male asymptomatic        120        126  153.5     6.2
## 2999            no male asymptomatic        120        126  153.5     6.2
## 3000            no male asymptomatic        120        126  153.5     6.2
## 3001            no male asymptomatic        120        126  153.5     6.2
## 3002            no male asymptomatic        120        126  153.5     6.2
## 3003            no male asymptomatic        120        126  153.5     6.2
## 3004            no male asymptomatic        120        126  153.5     6.2
## 3005            no male asymptomatic        120        126  153.5     6.2
## 3006            no male asymptomatic        120        126  153.5     6.2
## 3007            no male asymptomatic        120        126  153.5     6.2
## 3008            no male asymptomatic        120        126  153.5     6.2
## 3009            no male asymptomatic        120        126  153.5     6.2
## 3010            no male asymptomatic        120        126  153.5     6.2
## 3011            no male asymptomatic        120        126  153.5     6.2
## 3012            no male asymptomatic        120        126  153.5     6.2
## 3013            no male asymptomatic        120        126  153.5     6.2
## 3014            no male asymptomatic        120        126  153.5     6.2
## 3015            no male asymptomatic        120        126  153.5     6.2
## 3016            no male asymptomatic        120        126  153.5     6.2
## 3017            no male asymptomatic        120        126  153.5     6.2
## 3018            no male asymptomatic        120        126  153.5     6.2
## 3019            no male asymptomatic        120        126  153.5     6.2
## 3020            no male asymptomatic        120        126  153.5     6.2
## 3021            no male asymptomatic        120        126  153.5     6.2
## 3022            no male asymptomatic        120        126  153.5     6.2
## 3023            no male asymptomatic        120        126  153.5     6.2
## 3024            no male asymptomatic        120        126  153.5     6.2
## 3025            no male asymptomatic        120        126  166.0     0.0
## 3026            no male asymptomatic        120        126  166.0     0.0
## 3027            no male asymptomatic        120        126  166.0     0.0
## 3028            no male asymptomatic        120        126  166.0     0.0
## 3029            no male asymptomatic        120        126  166.0     0.0
## 3030            no male asymptomatic        120        126  166.0     0.0
## 3031            no male asymptomatic        120        126  166.0     0.0
## 3032            no male asymptomatic        120        126  166.0     0.0
## 3033            no male asymptomatic        120        126  166.0     0.0
## 3034            no male asymptomatic        120        126  166.0     0.0
## 3035            no male asymptomatic        120        126  166.0     0.0
## 3036            no male asymptomatic        120        126  166.0     0.0
## 3037            no male asymptomatic        120        126  166.0     0.0
## 3038            no male asymptomatic        120        126  166.0     0.0
## 3039            no male asymptomatic        120        126  166.0     0.0
## 3040            no male asymptomatic        120        126  166.0     0.0
## 3041            no male asymptomatic        120        126  166.0     0.0
## 3042            no male asymptomatic        120        126  166.0     0.0
## 3043            no male asymptomatic        120        126  166.0     0.0
## 3044            no male asymptomatic        120        126  166.0     0.0
## 3045            no male asymptomatic        120        126  166.0     0.0
## 3046            no male asymptomatic        120        126  166.0     0.0
## 3047            no male asymptomatic        120        126  166.0     0.0
## 3048            no male asymptomatic        120        126  166.0     0.0
## 3049            no male asymptomatic        120        126  166.0     0.0
## 3050            no male asymptomatic        120        126  166.0     0.0
## 3051            no male asymptomatic        120        126  166.0     0.0
## 3052            no male asymptomatic        120        126  166.0     0.8
## 3053            no male asymptomatic        120        126  166.0     0.8
## 3054            no male asymptomatic        120        126  166.0     0.8
## 3055            no male asymptomatic        120        126  166.0     0.8
## 3056            no male asymptomatic        120        126  166.0     0.8
## 3057            no male asymptomatic        120        126  166.0     0.8
## 3058            no male asymptomatic        120        126  166.0     0.8
## 3059            no male asymptomatic        120        126  166.0     0.8
## 3060            no male asymptomatic        120        126  166.0     0.8
## 3061            no male asymptomatic        120        126  166.0     0.8
## 3062            no male asymptomatic        120        126  166.0     0.8
## 3063            no male asymptomatic        120        126  166.0     0.8
## 3064            no male asymptomatic        120        126  166.0     0.8
## 3065            no male asymptomatic        120        126  166.0     0.8
## 3066            no male asymptomatic        120        126  166.0     0.8
## 3067            no male asymptomatic        120        126  166.0     0.8
## 3068            no male asymptomatic        120        126  166.0     0.8
## 3069            no male asymptomatic        120        126  166.0     0.8
## 3070            no male asymptomatic        120        126  166.0     0.8
## 3071            no male asymptomatic        120        126  166.0     0.8
## 3072            no male asymptomatic        120        126  166.0     0.8
## 3073            no male asymptomatic        120        126  166.0     0.8
## 3074            no male asymptomatic        120        126  166.0     0.8
## 3075            no male asymptomatic        120        126  166.0     0.8
## 3076            no male asymptomatic        120        126  166.0     0.8
## 3077            no male asymptomatic        120        126  166.0     0.8
## 3078            no male asymptomatic        120        126  166.0     0.8
## 3079            no male asymptomatic        120        126  166.0     1.6
## 3080            no male asymptomatic        120        126  166.0     1.6
## 3081            no male asymptomatic        120        126  166.0     1.6
## 3082            no male asymptomatic        120        126  166.0     1.6
## 3083            no male asymptomatic        120        126  166.0     1.6
## 3084            no male asymptomatic        120        126  166.0     1.6
## 3085            no male asymptomatic        120        126  166.0     1.6
## 3086            no male asymptomatic        120        126  166.0     1.6
## 3087            no male asymptomatic        120        126  166.0     1.6
## 3088            no male asymptomatic        120        126  166.0     1.6
## 3089            no male asymptomatic        120        126  166.0     1.6
## 3090            no male asymptomatic        120        126  166.0     1.6
## 3091            no male asymptomatic        120        126  166.0     1.6
## 3092            no male asymptomatic        120        126  166.0     1.6
## 3093            no male asymptomatic        120        126  166.0     1.6
## 3094            no male asymptomatic        120        126  166.0     1.6
## 3095            no male asymptomatic        120        126  166.0     1.6
## 3096            no male asymptomatic        120        126  166.0     1.6
## 3097            no male asymptomatic        120        126  166.0     1.6
## 3098            no male asymptomatic        120        126  166.0     1.6
## 3099            no male asymptomatic        120        126  166.0     1.6
## 3100            no male asymptomatic        120        126  166.0     1.6
## 3101            no male asymptomatic        120        126  166.0     1.6
## 3102            no male asymptomatic        120        126  166.0     1.6
## 3103            no male asymptomatic        120        126  166.0     1.6
## 3104            no male asymptomatic        120        126  166.0     1.6
## 3105            no male asymptomatic        120        126  166.0     1.6
## 3106            no male asymptomatic        120        126  166.0     6.2
## 3107            no male asymptomatic        120        126  166.0     6.2
## 3108            no male asymptomatic        120        126  166.0     6.2
## 3109            no male asymptomatic        120        126  166.0     6.2
## 3110            no male asymptomatic        120        126  166.0     6.2
## 3111            no male asymptomatic        120        126  166.0     6.2
## 3112            no male asymptomatic        120        126  166.0     6.2
## 3113            no male asymptomatic        120        126  166.0     6.2
## 3114            no male asymptomatic        120        126  166.0     6.2
## 3115            no male asymptomatic        120        126  166.0     6.2
## 3116            no male asymptomatic        120        126  166.0     6.2
## 3117            no male asymptomatic        120        126  166.0     6.2
## 3118            no male asymptomatic        120        126  166.0     6.2
## 3119            no male asymptomatic        120        126  166.0     6.2
## 3120            no male asymptomatic        120        126  166.0     6.2
## 3121            no male asymptomatic        120        126  166.0     6.2
## 3122            no male asymptomatic        120        126  166.0     6.2
## 3123            no male asymptomatic        120        126  166.0     6.2
## 3124            no male asymptomatic        120        126  166.0     6.2
## 3125            no male asymptomatic        120        126  166.0     6.2
## 3126            no male asymptomatic        120        126  166.0     6.2
## 3127            no male asymptomatic        120        126  166.0     6.2
## 3128            no male asymptomatic        120        126  166.0     6.2
## 3129            no male asymptomatic        120        126  166.0     6.2
## 3130            no male asymptomatic        120        126  166.0     6.2
## 3131            no male asymptomatic        120        126  166.0     6.2
## 3132            no male asymptomatic        120        126  166.0     6.2
## 3133            no male asymptomatic        120        126  202.0     0.0
## 3134            no male asymptomatic        120        126  202.0     0.0
## 3135            no male asymptomatic        120        126  202.0     0.0
## 3136            no male asymptomatic        120        126  202.0     0.0
## 3137            no male asymptomatic        120        126  202.0     0.0
## 3138            no male asymptomatic        120        126  202.0     0.0
## 3139            no male asymptomatic        120        126  202.0     0.0
## 3140            no male asymptomatic        120        126  202.0     0.0
## 3141            no male asymptomatic        120        126  202.0     0.0
## 3142            no male asymptomatic        120        126  202.0     0.0
## 3143            no male asymptomatic        120        126  202.0     0.0
## 3144            no male asymptomatic        120        126  202.0     0.0
## 3145            no male asymptomatic        120        126  202.0     0.0
## 3146            no male asymptomatic        120        126  202.0     0.0
## 3147            no male asymptomatic        120        126  202.0     0.0
## 3148            no male asymptomatic        120        126  202.0     0.0
## 3149            no male asymptomatic        120        126  202.0     0.0
## 3150            no male asymptomatic        120        126  202.0     0.0
## 3151            no male asymptomatic        120        126  202.0     0.0
## 3152            no male asymptomatic        120        126  202.0     0.0
## 3153            no male asymptomatic        120        126  202.0     0.0
## 3154            no male asymptomatic        120        126  202.0     0.0
## 3155            no male asymptomatic        120        126  202.0     0.0
## 3156            no male asymptomatic        120        126  202.0     0.0
## 3157            no male asymptomatic        120        126  202.0     0.0
## 3158            no male asymptomatic        120        126  202.0     0.0
## 3159            no male asymptomatic        120        126  202.0     0.0
## 3160            no male asymptomatic        120        126  202.0     0.8
## 3161            no male asymptomatic        120        126  202.0     0.8
## 3162            no male asymptomatic        120        126  202.0     0.8
## 3163            no male asymptomatic        120        126  202.0     0.8
## 3164            no male asymptomatic        120        126  202.0     0.8
## 3165            no male asymptomatic        120        126  202.0     0.8
## 3166            no male asymptomatic        120        126  202.0     0.8
## 3167            no male asymptomatic        120        126  202.0     0.8
## 3168            no male asymptomatic        120        126  202.0     0.8
## 3169            no male asymptomatic        120        126  202.0     0.8
## 3170            no male asymptomatic        120        126  202.0     0.8
## 3171            no male asymptomatic        120        126  202.0     0.8
## 3172            no male asymptomatic        120        126  202.0     0.8
## 3173            no male asymptomatic        120        126  202.0     0.8
## 3174            no male asymptomatic        120        126  202.0     0.8
## 3175            no male asymptomatic        120        126  202.0     0.8
## 3176            no male asymptomatic        120        126  202.0     0.8
## 3177            no male asymptomatic        120        126  202.0     0.8
## 3178            no male asymptomatic        120        126  202.0     0.8
## 3179            no male asymptomatic        120        126  202.0     0.8
## 3180            no male asymptomatic        120        126  202.0     0.8
## 3181            no male asymptomatic        120        126  202.0     0.8
## 3182            no male asymptomatic        120        126  202.0     0.8
## 3183            no male asymptomatic        120        126  202.0     0.8
## 3184            no male asymptomatic        120        126  202.0     0.8
## 3185            no male asymptomatic        120        126  202.0     0.8
## 3186            no male asymptomatic        120        126  202.0     0.8
## 3187            no male asymptomatic        120        126  202.0     1.6
## 3188            no male asymptomatic        120        126  202.0     1.6
## 3189            no male asymptomatic        120        126  202.0     1.6
## 3190            no male asymptomatic        120        126  202.0     1.6
## 3191            no male asymptomatic        120        126  202.0     1.6
## 3192            no male asymptomatic        120        126  202.0     1.6
## 3193            no male asymptomatic        120        126  202.0     1.6
## 3194            no male asymptomatic        120        126  202.0     1.6
## 3195            no male asymptomatic        120        126  202.0     1.6
## 3196            no male asymptomatic        120        126  202.0     1.6
## 3197            no male asymptomatic        120        126  202.0     1.6
## 3198            no male asymptomatic        120        126  202.0     1.6
## 3199            no male asymptomatic        120        126  202.0     1.6
## 3200            no male asymptomatic        120        126  202.0     1.6
## 3201            no male asymptomatic        120        126  202.0     1.6
## 3202            no male asymptomatic        120        126  202.0     1.6
## 3203            no male asymptomatic        120        126  202.0     1.6
## 3204            no male asymptomatic        120        126  202.0     1.6
## 3205            no male asymptomatic        120        126  202.0     1.6
## 3206            no male asymptomatic        120        126  202.0     1.6
## 3207            no male asymptomatic        120        126  202.0     1.6
## 3208            no male asymptomatic        120        126  202.0     1.6
## 3209            no male asymptomatic        120        126  202.0     1.6
## 3210            no male asymptomatic        120        126  202.0     1.6
## 3211            no male asymptomatic        120        126  202.0     1.6
## 3212            no male asymptomatic        120        126  202.0     1.6
## 3213            no male asymptomatic        120        126  202.0     1.6
## 3214            no male asymptomatic        120        126  202.0     6.2
## 3215            no male asymptomatic        120        126  202.0     6.2
## 3216            no male asymptomatic        120        126  202.0     6.2
## 3217            no male asymptomatic        120        126  202.0     6.2
## 3218            no male asymptomatic        120        126  202.0     6.2
## 3219            no male asymptomatic        120        126  202.0     6.2
## 3220            no male asymptomatic        120        126  202.0     6.2
## 3221            no male asymptomatic        120        126  202.0     6.2
## 3222            no male asymptomatic        120        126  202.0     6.2
## 3223            no male asymptomatic        120        126  202.0     6.2
## 3224            no male asymptomatic        120        126  202.0     6.2
## 3225            no male asymptomatic        120        126  202.0     6.2
## 3226            no male asymptomatic        120        126  202.0     6.2
## 3227            no male asymptomatic        120        126  202.0     6.2
## 3228            no male asymptomatic        120        126  202.0     6.2
## 3229            no male asymptomatic        120        126  202.0     6.2
## 3230            no male asymptomatic        120        126  202.0     6.2
## 3231            no male asymptomatic        120        126  202.0     6.2
## 3232            no male asymptomatic        120        126  202.0     6.2
## 3233            no male asymptomatic        120        126  202.0     6.2
## 3234            no male asymptomatic        120        126  202.0     6.2
## 3235            no male asymptomatic        120        126  202.0     6.2
## 3236            no male asymptomatic        120        126  202.0     6.2
## 3237            no male asymptomatic        120        126  202.0     6.2
## 3238            no male asymptomatic        120        126  202.0     6.2
## 3239            no male asymptomatic        120        126  202.0     6.2
## 3240            no male asymptomatic        120        126  202.0     6.2
## 3241            no male asymptomatic        120        213   71.0     0.0
## 3242            no male asymptomatic        120        213   71.0     0.0
## 3243            no male asymptomatic        120        213   71.0     0.0
## 3244            no male asymptomatic        120        213   71.0     0.0
## 3245            no male asymptomatic        120        213   71.0     0.0
## 3246            no male asymptomatic        120        213   71.0     0.0
## 3247            no male asymptomatic        120        213   71.0     0.0
## 3248            no male asymptomatic        120        213   71.0     0.0
## 3249            no male asymptomatic        120        213   71.0     0.0
## 3250            no male asymptomatic        120        213   71.0     0.0
## 3251            no male asymptomatic        120        213   71.0     0.0
## 3252            no male asymptomatic        120        213   71.0     0.0
## 3253            no male asymptomatic        120        213   71.0     0.0
## 3254            no male asymptomatic        120        213   71.0     0.0
## 3255            no male asymptomatic        120        213   71.0     0.0
## 3256            no male asymptomatic        120        213   71.0     0.0
## 3257            no male asymptomatic        120        213   71.0     0.0
## 3258            no male asymptomatic        120        213   71.0     0.0
## 3259            no male asymptomatic        120        213   71.0     0.0
## 3260            no male asymptomatic        120        213   71.0     0.0
## 3261            no male asymptomatic        120        213   71.0     0.0
## 3262            no male asymptomatic        120        213   71.0     0.0
## 3263            no male asymptomatic        120        213   71.0     0.0
## 3264            no male asymptomatic        120        213   71.0     0.0
## 3265            no male asymptomatic        120        213   71.0     0.0
## 3266            no male asymptomatic        120        213   71.0     0.0
## 3267            no male asymptomatic        120        213   71.0     0.0
## 3268            no male asymptomatic        120        213   71.0     0.8
## 3269            no male asymptomatic        120        213   71.0     0.8
## 3270            no male asymptomatic        120        213   71.0     0.8
## 3271            no male asymptomatic        120        213   71.0     0.8
## 3272            no male asymptomatic        120        213   71.0     0.8
## 3273            no male asymptomatic        120        213   71.0     0.8
## 3274            no male asymptomatic        120        213   71.0     0.8
## 3275            no male asymptomatic        120        213   71.0     0.8
## 3276            no male asymptomatic        120        213   71.0     0.8
## 3277            no male asymptomatic        120        213   71.0     0.8
## 3278            no male asymptomatic        120        213   71.0     0.8
## 3279            no male asymptomatic        120        213   71.0     0.8
## 3280            no male asymptomatic        120        213   71.0     0.8
## 3281            no male asymptomatic        120        213   71.0     0.8
## 3282            no male asymptomatic        120        213   71.0     0.8
## 3283            no male asymptomatic        120        213   71.0     0.8
## 3284            no male asymptomatic        120        213   71.0     0.8
## 3285            no male asymptomatic        120        213   71.0     0.8
## 3286            no male asymptomatic        120        213   71.0     0.8
## 3287            no male asymptomatic        120        213   71.0     0.8
## 3288            no male asymptomatic        120        213   71.0     0.8
## 3289            no male asymptomatic        120        213   71.0     0.8
## 3290            no male asymptomatic        120        213   71.0     0.8
## 3291            no male asymptomatic        120        213   71.0     0.8
## 3292            no male asymptomatic        120        213   71.0     0.8
## 3293            no male asymptomatic        120        213   71.0     0.8
## 3294            no male asymptomatic        120        213   71.0     0.8
## 3295            no male asymptomatic        120        213   71.0     1.6
## 3296            no male asymptomatic        120        213   71.0     1.6
## 3297            no male asymptomatic        120        213   71.0     1.6
## 3298            no male asymptomatic        120        213   71.0     1.6
## 3299            no male asymptomatic        120        213   71.0     1.6
## 3300            no male asymptomatic        120        213   71.0     1.6
## 3301            no male asymptomatic        120        213   71.0     1.6
## 3302            no male asymptomatic        120        213   71.0     1.6
## 3303            no male asymptomatic        120        213   71.0     1.6
## 3304            no male asymptomatic        120        213   71.0     1.6
## 3305            no male asymptomatic        120        213   71.0     1.6
## 3306            no male asymptomatic        120        213   71.0     1.6
## 3307            no male asymptomatic        120        213   71.0     1.6
## 3308            no male asymptomatic        120        213   71.0     1.6
## 3309            no male asymptomatic        120        213   71.0     1.6
## 3310            no male asymptomatic        120        213   71.0     1.6
## 3311            no male asymptomatic        120        213   71.0     1.6
## 3312            no male asymptomatic        120        213   71.0     1.6
## 3313            no male asymptomatic        120        213   71.0     1.6
## 3314            no male asymptomatic        120        213   71.0     1.6
## 3315            no male asymptomatic        120        213   71.0     1.6
## 3316            no male asymptomatic        120        213   71.0     1.6
## 3317            no male asymptomatic        120        213   71.0     1.6
## 3318            no male asymptomatic        120        213   71.0     1.6
## 3319            no male asymptomatic        120        213   71.0     1.6
## 3320            no male asymptomatic        120        213   71.0     1.6
## 3321            no male asymptomatic        120        213   71.0     1.6
## 3322            no male asymptomatic        120        213   71.0     6.2
## 3323            no male asymptomatic        120        213   71.0     6.2
## 3324            no male asymptomatic        120        213   71.0     6.2
## 3325            no male asymptomatic        120        213   71.0     6.2
## 3326            no male asymptomatic        120        213   71.0     6.2
## 3327            no male asymptomatic        120        213   71.0     6.2
## 3328            no male asymptomatic        120        213   71.0     6.2
## 3329            no male asymptomatic        120        213   71.0     6.2
## 3330            no male asymptomatic        120        213   71.0     6.2
## 3331            no male asymptomatic        120        213   71.0     6.2
## 3332            no male asymptomatic        120        213   71.0     6.2
## 3333            no male asymptomatic        120        213   71.0     6.2
## 3334            no male asymptomatic        120        213   71.0     6.2
## 3335            no male asymptomatic        120        213   71.0     6.2
## 3336            no male asymptomatic        120        213   71.0     6.2
## 3337            no male asymptomatic        120        213   71.0     6.2
## 3338            no male asymptomatic        120        213   71.0     6.2
## 3339            no male asymptomatic        120        213   71.0     6.2
## 3340            no male asymptomatic        120        213   71.0     6.2
## 3341            no male asymptomatic        120        213   71.0     6.2
## 3342            no male asymptomatic        120        213   71.0     6.2
## 3343            no male asymptomatic        120        213   71.0     6.2
## 3344            no male asymptomatic        120        213   71.0     6.2
## 3345            no male asymptomatic        120        213   71.0     6.2
## 3346            no male asymptomatic        120        213   71.0     6.2
## 3347            no male asymptomatic        120        213   71.0     6.2
## 3348            no male asymptomatic        120        213   71.0     6.2
## 3349            no male asymptomatic        120        213  133.0     0.0
## 3350            no male asymptomatic        120        213  133.0     0.0
## 3351            no male asymptomatic        120        213  133.0     0.0
## 3352            no male asymptomatic        120        213  133.0     0.0
## 3353            no male asymptomatic        120        213  133.0     0.0
## 3354            no male asymptomatic        120        213  133.0     0.0
## 3355            no male asymptomatic        120        213  133.0     0.0
## 3356            no male asymptomatic        120        213  133.0     0.0
## 3357            no male asymptomatic        120        213  133.0     0.0
## 3358            no male asymptomatic        120        213  133.0     0.0
## 3359            no male asymptomatic        120        213  133.0     0.0
## 3360            no male asymptomatic        120        213  133.0     0.0
## 3361            no male asymptomatic        120        213  133.0     0.0
## 3362            no male asymptomatic        120        213  133.0     0.0
## 3363            no male asymptomatic        120        213  133.0     0.0
## 3364            no male asymptomatic        120        213  133.0     0.0
## 3365            no male asymptomatic        120        213  133.0     0.0
## 3366            no male asymptomatic        120        213  133.0     0.0
## 3367            no male asymptomatic        120        213  133.0     0.0
## 3368            no male asymptomatic        120        213  133.0     0.0
## 3369            no male asymptomatic        120        213  133.0     0.0
## 3370            no male asymptomatic        120        213  133.0     0.0
## 3371            no male asymptomatic        120        213  133.0     0.0
## 3372            no male asymptomatic        120        213  133.0     0.0
## 3373            no male asymptomatic        120        213  133.0     0.0
## 3374            no male asymptomatic        120        213  133.0     0.0
## 3375            no male asymptomatic        120        213  133.0     0.0
## 3376            no male asymptomatic        120        213  133.0     0.8
## 3377            no male asymptomatic        120        213  133.0     0.8
## 3378            no male asymptomatic        120        213  133.0     0.8
## 3379            no male asymptomatic        120        213  133.0     0.8
## 3380            no male asymptomatic        120        213  133.0     0.8
## 3381            no male asymptomatic        120        213  133.0     0.8
## 3382            no male asymptomatic        120        213  133.0     0.8
## 3383            no male asymptomatic        120        213  133.0     0.8
## 3384            no male asymptomatic        120        213  133.0     0.8
## 3385            no male asymptomatic        120        213  133.0     0.8
## 3386            no male asymptomatic        120        213  133.0     0.8
## 3387            no male asymptomatic        120        213  133.0     0.8
## 3388            no male asymptomatic        120        213  133.0     0.8
## 3389            no male asymptomatic        120        213  133.0     0.8
## 3390            no male asymptomatic        120        213  133.0     0.8
## 3391            no male asymptomatic        120        213  133.0     0.8
## 3392            no male asymptomatic        120        213  133.0     0.8
## 3393            no male asymptomatic        120        213  133.0     0.8
## 3394            no male asymptomatic        120        213  133.0     0.8
## 3395            no male asymptomatic        120        213  133.0     0.8
## 3396            no male asymptomatic        120        213  133.0     0.8
## 3397            no male asymptomatic        120        213  133.0     0.8
## 3398            no male asymptomatic        120        213  133.0     0.8
## 3399            no male asymptomatic        120        213  133.0     0.8
## 3400            no male asymptomatic        120        213  133.0     0.8
## 3401            no male asymptomatic        120        213  133.0     0.8
## 3402            no male asymptomatic        120        213  133.0     0.8
## 3403            no male asymptomatic        120        213  133.0     1.6
## 3404            no male asymptomatic        120        213  133.0     1.6
## 3405            no male asymptomatic        120        213  133.0     1.6
## 3406            no male asymptomatic        120        213  133.0     1.6
## 3407            no male asymptomatic        120        213  133.0     1.6
## 3408            no male asymptomatic        120        213  133.0     1.6
## 3409            no male asymptomatic        120        213  133.0     1.6
## 3410            no male asymptomatic        120        213  133.0     1.6
## 3411            no male asymptomatic        120        213  133.0     1.6
## 3412            no male asymptomatic        120        213  133.0     1.6
## 3413            no male asymptomatic        120        213  133.0     1.6
## 3414            no male asymptomatic        120        213  133.0     1.6
## 3415            no male asymptomatic        120        213  133.0     1.6
## 3416            no male asymptomatic        120        213  133.0     1.6
## 3417            no male asymptomatic        120        213  133.0     1.6
## 3418            no male asymptomatic        120        213  133.0     1.6
## 3419            no male asymptomatic        120        213  133.0     1.6
## 3420            no male asymptomatic        120        213  133.0     1.6
## 3421            no male asymptomatic        120        213  133.0     1.6
## 3422            no male asymptomatic        120        213  133.0     1.6
## 3423            no male asymptomatic        120        213  133.0     1.6
## 3424            no male asymptomatic        120        213  133.0     1.6
## 3425            no male asymptomatic        120        213  133.0     1.6
## 3426            no male asymptomatic        120        213  133.0     1.6
## 3427            no male asymptomatic        120        213  133.0     1.6
## 3428            no male asymptomatic        120        213  133.0     1.6
## 3429            no male asymptomatic        120        213  133.0     1.6
## 3430            no male asymptomatic        120        213  133.0     6.2
## 3431            no male asymptomatic        120        213  133.0     6.2
## 3432            no male asymptomatic        120        213  133.0     6.2
## 3433            no male asymptomatic        120        213  133.0     6.2
## 3434            no male asymptomatic        120        213  133.0     6.2
## 3435            no male asymptomatic        120        213  133.0     6.2
## 3436            no male asymptomatic        120        213  133.0     6.2
## 3437            no male asymptomatic        120        213  133.0     6.2
## 3438            no male asymptomatic        120        213  133.0     6.2
## 3439            no male asymptomatic        120        213  133.0     6.2
## 3440            no male asymptomatic        120        213  133.0     6.2
## 3441            no male asymptomatic        120        213  133.0     6.2
## 3442            no male asymptomatic        120        213  133.0     6.2
## 3443            no male asymptomatic        120        213  133.0     6.2
## 3444            no male asymptomatic        120        213  133.0     6.2
## 3445            no male asymptomatic        120        213  133.0     6.2
## 3446            no male asymptomatic        120        213  133.0     6.2
## 3447            no male asymptomatic        120        213  133.0     6.2
## 3448            no male asymptomatic        120        213  133.0     6.2
## 3449            no male asymptomatic        120        213  133.0     6.2
## 3450            no male asymptomatic        120        213  133.0     6.2
## 3451            no male asymptomatic        120        213  133.0     6.2
## 3452            no male asymptomatic        120        213  133.0     6.2
## 3453            no male asymptomatic        120        213  133.0     6.2
## 3454            no male asymptomatic        120        213  133.0     6.2
## 3455            no male asymptomatic        120        213  133.0     6.2
## 3456            no male asymptomatic        120        213  133.0     6.2
## 3457            no male asymptomatic        120        213  153.5     0.0
## 3458            no male asymptomatic        120        213  153.5     0.0
## 3459            no male asymptomatic        120        213  153.5     0.0
## 3460            no male asymptomatic        120        213  153.5     0.0
## 3461            no male asymptomatic        120        213  153.5     0.0
## 3462            no male asymptomatic        120        213  153.5     0.0
## 3463            no male asymptomatic        120        213  153.5     0.0
## 3464            no male asymptomatic        120        213  153.5     0.0
## 3465            no male asymptomatic        120        213  153.5     0.0
## 3466            no male asymptomatic        120        213  153.5     0.0
## 3467            no male asymptomatic        120        213  153.5     0.0
## 3468            no male asymptomatic        120        213  153.5     0.0
## 3469            no male asymptomatic        120        213  153.5     0.0
## 3470            no male asymptomatic        120        213  153.5     0.0
## 3471            no male asymptomatic        120        213  153.5     0.0
## 3472            no male asymptomatic        120        213  153.5     0.0
## 3473            no male asymptomatic        120        213  153.5     0.0
## 3474            no male asymptomatic        120        213  153.5     0.0
## 3475            no male asymptomatic        120        213  153.5     0.0
## 3476            no male asymptomatic        120        213  153.5     0.0
## 3477            no male asymptomatic        120        213  153.5     0.0
## 3478            no male asymptomatic        120        213  153.5     0.0
## 3479            no male asymptomatic        120        213  153.5     0.0
## 3480            no male asymptomatic        120        213  153.5     0.0
## 3481            no male asymptomatic        120        213  153.5     0.0
## 3482            no male asymptomatic        120        213  153.5     0.0
## 3483            no male asymptomatic        120        213  153.5     0.0
## 3484            no male asymptomatic        120        213  153.5     0.8
## 3485            no male asymptomatic        120        213  153.5     0.8
## 3486            no male asymptomatic        120        213  153.5     0.8
## 3487            no male asymptomatic        120        213  153.5     0.8
## 3488            no male asymptomatic        120        213  153.5     0.8
## 3489            no male asymptomatic        120        213  153.5     0.8
## 3490            no male asymptomatic        120        213  153.5     0.8
## 3491            no male asymptomatic        120        213  153.5     0.8
## 3492            no male asymptomatic        120        213  153.5     0.8
## 3493            no male asymptomatic        120        213  153.5     0.8
## 3494            no male asymptomatic        120        213  153.5     0.8
## 3495            no male asymptomatic        120        213  153.5     0.8
## 3496            no male asymptomatic        120        213  153.5     0.8
## 3497            no male asymptomatic        120        213  153.5     0.8
## 3498            no male asymptomatic        120        213  153.5     0.8
## 3499            no male asymptomatic        120        213  153.5     0.8
## 3500            no male asymptomatic        120        213  153.5     0.8
## 3501            no male asymptomatic        120        213  153.5     0.8
## 3502            no male asymptomatic        120        213  153.5     0.8
## 3503            no male asymptomatic        120        213  153.5     0.8
## 3504            no male asymptomatic        120        213  153.5     0.8
## 3505            no male asymptomatic        120        213  153.5     0.8
## 3506            no male asymptomatic        120        213  153.5     0.8
## 3507            no male asymptomatic        120        213  153.5     0.8
## 3508            no male asymptomatic        120        213  153.5     0.8
## 3509            no male asymptomatic        120        213  153.5     0.8
## 3510            no male asymptomatic        120        213  153.5     0.8
## 3511            no male asymptomatic        120        213  153.5     1.6
## 3512            no male asymptomatic        120        213  153.5     1.6
## 3513            no male asymptomatic        120        213  153.5     1.6
## 3514            no male asymptomatic        120        213  153.5     1.6
## 3515            no male asymptomatic        120        213  153.5     1.6
## 3516            no male asymptomatic        120        213  153.5     1.6
## 3517            no male asymptomatic        120        213  153.5     1.6
## 3518            no male asymptomatic        120        213  153.5     1.6
## 3519            no male asymptomatic        120        213  153.5     1.6
## 3520            no male asymptomatic        120        213  153.5     1.6
## 3521            no male asymptomatic        120        213  153.5     1.6
## 3522            no male asymptomatic        120        213  153.5     1.6
## 3523            no male asymptomatic        120        213  153.5     1.6
## 3524            no male asymptomatic        120        213  153.5     1.6
## 3525            no male asymptomatic        120        213  153.5     1.6
## 3526            no male asymptomatic        120        213  153.5     1.6
## 3527            no male asymptomatic        120        213  153.5     1.6
## 3528            no male asymptomatic        120        213  153.5     1.6
## 3529            no male asymptomatic        120        213  153.5     1.6
## 3530            no male asymptomatic        120        213  153.5     1.6
## 3531            no male asymptomatic        120        213  153.5     1.6
## 3532            no male asymptomatic        120        213  153.5     1.6
## 3533            no male asymptomatic        120        213  153.5     1.6
## 3534            no male asymptomatic        120        213  153.5     1.6
## 3535            no male asymptomatic        120        213  153.5     1.6
## 3536            no male asymptomatic        120        213  153.5     1.6
## 3537            no male asymptomatic        120        213  153.5     1.6
## 3538            no male asymptomatic        120        213  153.5     6.2
## 3539            no male asymptomatic        120        213  153.5     6.2
## 3540            no male asymptomatic        120        213  153.5     6.2
## 3541            no male asymptomatic        120        213  153.5     6.2
## 3542            no male asymptomatic        120        213  153.5     6.2
## 3543            no male asymptomatic        120        213  153.5     6.2
## 3544            no male asymptomatic        120        213  153.5     6.2
## 3545            no male asymptomatic        120        213  153.5     6.2
## 3546            no male asymptomatic        120        213  153.5     6.2
## 3547            no male asymptomatic        120        213  153.5     6.2
## 3548            no male asymptomatic        120        213  153.5     6.2
## 3549            no male asymptomatic        120        213  153.5     6.2
## 3550            no male asymptomatic        120        213  153.5     6.2
## 3551            no male asymptomatic        120        213  153.5     6.2
## 3552            no male asymptomatic        120        213  153.5     6.2
## 3553            no male asymptomatic        120        213  153.5     6.2
## 3554            no male asymptomatic        120        213  153.5     6.2
## 3555            no male asymptomatic        120        213  153.5     6.2
## 3556            no male asymptomatic        120        213  153.5     6.2
## 3557            no male asymptomatic        120        213  153.5     6.2
## 3558            no male asymptomatic        120        213  153.5     6.2
## 3559            no male asymptomatic        120        213  153.5     6.2
## 3560            no male asymptomatic        120        213  153.5     6.2
## 3561            no male asymptomatic        120        213  153.5     6.2
## 3562            no male asymptomatic        120        213  153.5     6.2
## 3563            no male asymptomatic        120        213  153.5     6.2
## 3564            no male asymptomatic        120        213  153.5     6.2
## 3565            no male asymptomatic        120        213  166.0     0.0
## 3566            no male asymptomatic        120        213  166.0     0.0
## 3567            no male asymptomatic        120        213  166.0     0.0
## 3568            no male asymptomatic        120        213  166.0     0.0
## 3569            no male asymptomatic        120        213  166.0     0.0
## 3570            no male asymptomatic        120        213  166.0     0.0
## 3571            no male asymptomatic        120        213  166.0     0.0
## 3572            no male asymptomatic        120        213  166.0     0.0
## 3573            no male asymptomatic        120        213  166.0     0.0
## 3574            no male asymptomatic        120        213  166.0     0.0
## 3575            no male asymptomatic        120        213  166.0     0.0
## 3576            no male asymptomatic        120        213  166.0     0.0
## 3577            no male asymptomatic        120        213  166.0     0.0
## 3578            no male asymptomatic        120        213  166.0     0.0
## 3579            no male asymptomatic        120        213  166.0     0.0
## 3580            no male asymptomatic        120        213  166.0     0.0
## 3581            no male asymptomatic        120        213  166.0     0.0
## 3582            no male asymptomatic        120        213  166.0     0.0
## 3583            no male asymptomatic        120        213  166.0     0.0
## 3584            no male asymptomatic        120        213  166.0     0.0
## 3585            no male asymptomatic        120        213  166.0     0.0
## 3586            no male asymptomatic        120        213  166.0     0.0
## 3587            no male asymptomatic        120        213  166.0     0.0
## 3588            no male asymptomatic        120        213  166.0     0.0
## 3589            no male asymptomatic        120        213  166.0     0.0
## 3590            no male asymptomatic        120        213  166.0     0.0
## 3591            no male asymptomatic        120        213  166.0     0.0
## 3592            no male asymptomatic        120        213  166.0     0.8
## 3593            no male asymptomatic        120        213  166.0     0.8
## 3594            no male asymptomatic        120        213  166.0     0.8
## 3595            no male asymptomatic        120        213  166.0     0.8
## 3596            no male asymptomatic        120        213  166.0     0.8
## 3597            no male asymptomatic        120        213  166.0     0.8
## 3598            no male asymptomatic        120        213  166.0     0.8
## 3599            no male asymptomatic        120        213  166.0     0.8
## 3600            no male asymptomatic        120        213  166.0     0.8
## 3601            no male asymptomatic        120        213  166.0     0.8
## 3602            no male asymptomatic        120        213  166.0     0.8
## 3603            no male asymptomatic        120        213  166.0     0.8
## 3604            no male asymptomatic        120        213  166.0     0.8
## 3605            no male asymptomatic        120        213  166.0     0.8
## 3606            no male asymptomatic        120        213  166.0     0.8
## 3607            no male asymptomatic        120        213  166.0     0.8
## 3608            no male asymptomatic        120        213  166.0     0.8
## 3609            no male asymptomatic        120        213  166.0     0.8
## 3610            no male asymptomatic        120        213  166.0     0.8
## 3611            no male asymptomatic        120        213  166.0     0.8
## 3612            no male asymptomatic        120        213  166.0     0.8
## 3613            no male asymptomatic        120        213  166.0     0.8
## 3614            no male asymptomatic        120        213  166.0     0.8
## 3615            no male asymptomatic        120        213  166.0     0.8
## 3616            no male asymptomatic        120        213  166.0     0.8
## 3617            no male asymptomatic        120        213  166.0     0.8
## 3618            no male asymptomatic        120        213  166.0     0.8
## 3619            no male asymptomatic        120        213  166.0     1.6
## 3620            no male asymptomatic        120        213  166.0     1.6
## 3621            no male asymptomatic        120        213  166.0     1.6
## 3622            no male asymptomatic        120        213  166.0     1.6
## 3623            no male asymptomatic        120        213  166.0     1.6
## 3624            no male asymptomatic        120        213  166.0     1.6
## 3625            no male asymptomatic        120        213  166.0     1.6
## 3626            no male asymptomatic        120        213  166.0     1.6
## 3627            no male asymptomatic        120        213  166.0     1.6
## 3628            no male asymptomatic        120        213  166.0     1.6
## 3629            no male asymptomatic        120        213  166.0     1.6
## 3630            no male asymptomatic        120        213  166.0     1.6
## 3631            no male asymptomatic        120        213  166.0     1.6
## 3632            no male asymptomatic        120        213  166.0     1.6
## 3633            no male asymptomatic        120        213  166.0     1.6
## 3634            no male asymptomatic        120        213  166.0     1.6
## 3635            no male asymptomatic        120        213  166.0     1.6
## 3636            no male asymptomatic        120        213  166.0     1.6
## 3637            no male asymptomatic        120        213  166.0     1.6
## 3638            no male asymptomatic        120        213  166.0     1.6
## 3639            no male asymptomatic        120        213  166.0     1.6
## 3640            no male asymptomatic        120        213  166.0     1.6
## 3641            no male asymptomatic        120        213  166.0     1.6
## 3642            no male asymptomatic        120        213  166.0     1.6
## 3643            no male asymptomatic        120        213  166.0     1.6
## 3644            no male asymptomatic        120        213  166.0     1.6
## 3645            no male asymptomatic        120        213  166.0     1.6
## 3646            no male asymptomatic        120        213  166.0     6.2
## 3647            no male asymptomatic        120        213  166.0     6.2
## 3648            no male asymptomatic        120        213  166.0     6.2
## 3649            no male asymptomatic        120        213  166.0     6.2
## 3650            no male asymptomatic        120        213  166.0     6.2
## 3651            no male asymptomatic        120        213  166.0     6.2
## 3652            no male asymptomatic        120        213  166.0     6.2
## 3653            no male asymptomatic        120        213  166.0     6.2
## 3654            no male asymptomatic        120        213  166.0     6.2
## 3655            no male asymptomatic        120        213  166.0     6.2
## 3656            no male asymptomatic        120        213  166.0     6.2
## 3657            no male asymptomatic        120        213  166.0     6.2
## 3658            no male asymptomatic        120        213  166.0     6.2
## 3659            no male asymptomatic        120        213  166.0     6.2
## 3660            no male asymptomatic        120        213  166.0     6.2
## 3661            no male asymptomatic        120        213  166.0     6.2
## 3662            no male asymptomatic        120        213  166.0     6.2
## 3663            no male asymptomatic        120        213  166.0     6.2
## 3664            no male asymptomatic        120        213  166.0     6.2
## 3665            no male asymptomatic        120        213  166.0     6.2
## 3666            no male asymptomatic        120        213  166.0     6.2
## 3667            no male asymptomatic        120        213  166.0     6.2
## 3668            no male asymptomatic        120        213  166.0     6.2
## 3669            no male asymptomatic        120        213  166.0     6.2
## 3670            no male asymptomatic        120        213  166.0     6.2
## 3671            no male asymptomatic        120        213  166.0     6.2
## 3672            no male asymptomatic        120        213  166.0     6.2
## 3673            no male asymptomatic        120        213  202.0     0.0
## 3674            no male asymptomatic        120        213  202.0     0.0
## 3675            no male asymptomatic        120        213  202.0     0.0
## 3676            no male asymptomatic        120        213  202.0     0.0
## 3677            no male asymptomatic        120        213  202.0     0.0
## 3678            no male asymptomatic        120        213  202.0     0.0
## 3679            no male asymptomatic        120        213  202.0     0.0
## 3680            no male asymptomatic        120        213  202.0     0.0
## 3681            no male asymptomatic        120        213  202.0     0.0
## 3682            no male asymptomatic        120        213  202.0     0.0
## 3683            no male asymptomatic        120        213  202.0     0.0
## 3684            no male asymptomatic        120        213  202.0     0.0
## 3685            no male asymptomatic        120        213  202.0     0.0
## 3686            no male asymptomatic        120        213  202.0     0.0
## 3687            no male asymptomatic        120        213  202.0     0.0
## 3688            no male asymptomatic        120        213  202.0     0.0
## 3689            no male asymptomatic        120        213  202.0     0.0
## 3690            no male asymptomatic        120        213  202.0     0.0
## 3691            no male asymptomatic        120        213  202.0     0.0
## 3692            no male asymptomatic        120        213  202.0     0.0
## 3693            no male asymptomatic        120        213  202.0     0.0
## 3694            no male asymptomatic        120        213  202.0     0.0
## 3695            no male asymptomatic        120        213  202.0     0.0
## 3696            no male asymptomatic        120        213  202.0     0.0
## 3697            no male asymptomatic        120        213  202.0     0.0
## 3698            no male asymptomatic        120        213  202.0     0.0
## 3699            no male asymptomatic        120        213  202.0     0.0
## 3700            no male asymptomatic        120        213  202.0     0.8
## 3701            no male asymptomatic        120        213  202.0     0.8
## 3702            no male asymptomatic        120        213  202.0     0.8
## 3703            no male asymptomatic        120        213  202.0     0.8
## 3704            no male asymptomatic        120        213  202.0     0.8
## 3705            no male asymptomatic        120        213  202.0     0.8
## 3706            no male asymptomatic        120        213  202.0     0.8
## 3707            no male asymptomatic        120        213  202.0     0.8
## 3708            no male asymptomatic        120        213  202.0     0.8
## 3709            no male asymptomatic        120        213  202.0     0.8
## 3710            no male asymptomatic        120        213  202.0     0.8
## 3711            no male asymptomatic        120        213  202.0     0.8
## 3712            no male asymptomatic        120        213  202.0     0.8
## 3713            no male asymptomatic        120        213  202.0     0.8
## 3714            no male asymptomatic        120        213  202.0     0.8
## 3715            no male asymptomatic        120        213  202.0     0.8
## 3716            no male asymptomatic        120        213  202.0     0.8
## 3717            no male asymptomatic        120        213  202.0     0.8
## 3718            no male asymptomatic        120        213  202.0     0.8
## 3719            no male asymptomatic        120        213  202.0     0.8
## 3720            no male asymptomatic        120        213  202.0     0.8
## 3721            no male asymptomatic        120        213  202.0     0.8
## 3722            no male asymptomatic        120        213  202.0     0.8
## 3723            no male asymptomatic        120        213  202.0     0.8
## 3724            no male asymptomatic        120        213  202.0     0.8
## 3725            no male asymptomatic        120        213  202.0     0.8
## 3726            no male asymptomatic        120        213  202.0     0.8
## 3727            no male asymptomatic        120        213  202.0     1.6
## 3728            no male asymptomatic        120        213  202.0     1.6
## 3729            no male asymptomatic        120        213  202.0     1.6
## 3730            no male asymptomatic        120        213  202.0     1.6
## 3731            no male asymptomatic        120        213  202.0     1.6
## 3732            no male asymptomatic        120        213  202.0     1.6
## 3733            no male asymptomatic        120        213  202.0     1.6
## 3734            no male asymptomatic        120        213  202.0     1.6
## 3735            no male asymptomatic        120        213  202.0     1.6
## 3736            no male asymptomatic        120        213  202.0     1.6
## 3737            no male asymptomatic        120        213  202.0     1.6
## 3738            no male asymptomatic        120        213  202.0     1.6
## 3739            no male asymptomatic        120        213  202.0     1.6
## 3740            no male asymptomatic        120        213  202.0     1.6
## 3741            no male asymptomatic        120        213  202.0     1.6
## 3742            no male asymptomatic        120        213  202.0     1.6
## 3743            no male asymptomatic        120        213  202.0     1.6
## 3744            no male asymptomatic        120        213  202.0     1.6
## 3745            no male asymptomatic        120        213  202.0     1.6
## 3746            no male asymptomatic        120        213  202.0     1.6
## 3747            no male asymptomatic        120        213  202.0     1.6
## 3748            no male asymptomatic        120        213  202.0     1.6
## 3749            no male asymptomatic        120        213  202.0     1.6
## 3750            no male asymptomatic        120        213  202.0     1.6
## 3751            no male asymptomatic        120        213  202.0     1.6
## 3752            no male asymptomatic        120        213  202.0     1.6
## 3753            no male asymptomatic        120        213  202.0     1.6
## 3754            no male asymptomatic        120        213  202.0     6.2
## 3755            no male asymptomatic        120        213  202.0     6.2
## 3756            no male asymptomatic        120        213  202.0     6.2
## 3757            no male asymptomatic        120        213  202.0     6.2
## 3758            no male asymptomatic        120        213  202.0     6.2
## 3759            no male asymptomatic        120        213  202.0     6.2
## 3760            no male asymptomatic        120        213  202.0     6.2
## 3761            no male asymptomatic        120        213  202.0     6.2
## 3762            no male asymptomatic        120        213  202.0     6.2
## 3763            no male asymptomatic        120        213  202.0     6.2
## 3764            no male asymptomatic        120        213  202.0     6.2
## 3765            no male asymptomatic        120        213  202.0     6.2
## 3766            no male asymptomatic        120        213  202.0     6.2
## 3767            no male asymptomatic        120        213  202.0     6.2
## 3768            no male asymptomatic        120        213  202.0     6.2
## 3769            no male asymptomatic        120        213  202.0     6.2
## 3770            no male asymptomatic        120        213  202.0     6.2
## 3771            no male asymptomatic        120        213  202.0     6.2
## 3772            no male asymptomatic        120        213  202.0     6.2
## 3773            no male asymptomatic        120        213  202.0     6.2
## 3774            no male asymptomatic        120        213  202.0     6.2
## 3775            no male asymptomatic        120        213  202.0     6.2
## 3776            no male asymptomatic        120        213  202.0     6.2
## 3777            no male asymptomatic        120        213  202.0     6.2
## 3778            no male asymptomatic        120        213  202.0     6.2
## 3779            no male asymptomatic        120        213  202.0     6.2
## 3780            no male asymptomatic        120        213  202.0     6.2
## 3781            no male asymptomatic        120        245   71.0     0.0
## 3782            no male asymptomatic        120        245   71.0     0.0
## 3783            no male asymptomatic        120        245   71.0     0.0
## 3784            no male asymptomatic        120        245   71.0     0.0
## 3785            no male asymptomatic        120        245   71.0     0.0
## 3786            no male asymptomatic        120        245   71.0     0.0
## 3787            no male asymptomatic        120        245   71.0     0.0
## 3788            no male asymptomatic        120        245   71.0     0.0
## 3789            no male asymptomatic        120        245   71.0     0.0
## 3790            no male asymptomatic        120        245   71.0     0.0
## 3791            no male asymptomatic        120        245   71.0     0.0
## 3792            no male asymptomatic        120        245   71.0     0.0
## 3793            no male asymptomatic        120        245   71.0     0.0
## 3794            no male asymptomatic        120        245   71.0     0.0
## 3795            no male asymptomatic        120        245   71.0     0.0
## 3796            no male asymptomatic        120        245   71.0     0.0
## 3797            no male asymptomatic        120        245   71.0     0.0
## 3798            no male asymptomatic        120        245   71.0     0.0
## 3799            no male asymptomatic        120        245   71.0     0.0
## 3800            no male asymptomatic        120        245   71.0     0.0
## 3801            no male asymptomatic        120        245   71.0     0.0
## 3802            no male asymptomatic        120        245   71.0     0.0
## 3803            no male asymptomatic        120        245   71.0     0.0
## 3804            no male asymptomatic        120        245   71.0     0.0
## 3805            no male asymptomatic        120        245   71.0     0.0
## 3806            no male asymptomatic        120        245   71.0     0.0
## 3807            no male asymptomatic        120        245   71.0     0.0
## 3808            no male asymptomatic        120        245   71.0     0.8
## 3809            no male asymptomatic        120        245   71.0     0.8
## 3810            no male asymptomatic        120        245   71.0     0.8
## 3811            no male asymptomatic        120        245   71.0     0.8
## 3812            no male asymptomatic        120        245   71.0     0.8
## 3813            no male asymptomatic        120        245   71.0     0.8
## 3814            no male asymptomatic        120        245   71.0     0.8
## 3815            no male asymptomatic        120        245   71.0     0.8
## 3816            no male asymptomatic        120        245   71.0     0.8
## 3817            no male asymptomatic        120        245   71.0     0.8
## 3818            no male asymptomatic        120        245   71.0     0.8
## 3819            no male asymptomatic        120        245   71.0     0.8
## 3820            no male asymptomatic        120        245   71.0     0.8
## 3821            no male asymptomatic        120        245   71.0     0.8
## 3822            no male asymptomatic        120        245   71.0     0.8
## 3823            no male asymptomatic        120        245   71.0     0.8
## 3824            no male asymptomatic        120        245   71.0     0.8
## 3825            no male asymptomatic        120        245   71.0     0.8
## 3826            no male asymptomatic        120        245   71.0     0.8
## 3827            no male asymptomatic        120        245   71.0     0.8
## 3828            no male asymptomatic        120        245   71.0     0.8
## 3829            no male asymptomatic        120        245   71.0     0.8
## 3830            no male asymptomatic        120        245   71.0     0.8
## 3831            no male asymptomatic        120        245   71.0     0.8
## 3832            no male asymptomatic        120        245   71.0     0.8
## 3833            no male asymptomatic        120        245   71.0     0.8
## 3834            no male asymptomatic        120        245   71.0     0.8
## 3835            no male asymptomatic        120        245   71.0     1.6
## 3836            no male asymptomatic        120        245   71.0     1.6
## 3837            no male asymptomatic        120        245   71.0     1.6
## 3838            no male asymptomatic        120        245   71.0     1.6
## 3839            no male asymptomatic        120        245   71.0     1.6
## 3840            no male asymptomatic        120        245   71.0     1.6
## 3841            no male asymptomatic        120        245   71.0     1.6
## 3842            no male asymptomatic        120        245   71.0     1.6
## 3843            no male asymptomatic        120        245   71.0     1.6
## 3844            no male asymptomatic        120        245   71.0     1.6
## 3845            no male asymptomatic        120        245   71.0     1.6
## 3846            no male asymptomatic        120        245   71.0     1.6
## 3847            no male asymptomatic        120        245   71.0     1.6
## 3848            no male asymptomatic        120        245   71.0     1.6
## 3849            no male asymptomatic        120        245   71.0     1.6
## 3850            no male asymptomatic        120        245   71.0     1.6
## 3851            no male asymptomatic        120        245   71.0     1.6
## 3852            no male asymptomatic        120        245   71.0     1.6
## 3853            no male asymptomatic        120        245   71.0     1.6
## 3854            no male asymptomatic        120        245   71.0     1.6
## 3855            no male asymptomatic        120        245   71.0     1.6
## 3856            no male asymptomatic        120        245   71.0     1.6
## 3857            no male asymptomatic        120        245   71.0     1.6
## 3858            no male asymptomatic        120        245   71.0     1.6
## 3859            no male asymptomatic        120        245   71.0     1.6
## 3860            no male asymptomatic        120        245   71.0     1.6
## 3861            no male asymptomatic        120        245   71.0     1.6
## 3862            no male asymptomatic        120        245   71.0     6.2
## 3863            no male asymptomatic        120        245   71.0     6.2
## 3864            no male asymptomatic        120        245   71.0     6.2
## 3865            no male asymptomatic        120        245   71.0     6.2
## 3866            no male asymptomatic        120        245   71.0     6.2
## 3867            no male asymptomatic        120        245   71.0     6.2
## 3868            no male asymptomatic        120        245   71.0     6.2
## 3869            no male asymptomatic        120        245   71.0     6.2
## 3870            no male asymptomatic        120        245   71.0     6.2
## 3871            no male asymptomatic        120        245   71.0     6.2
## 3872            no male asymptomatic        120        245   71.0     6.2
## 3873            no male asymptomatic        120        245   71.0     6.2
## 3874            no male asymptomatic        120        245   71.0     6.2
## 3875            no male asymptomatic        120        245   71.0     6.2
## 3876            no male asymptomatic        120        245   71.0     6.2
## 3877            no male asymptomatic        120        245   71.0     6.2
## 3878            no male asymptomatic        120        245   71.0     6.2
## 3879            no male asymptomatic        120        245   71.0     6.2
## 3880            no male asymptomatic        120        245   71.0     6.2
## 3881            no male asymptomatic        120        245   71.0     6.2
## 3882            no male asymptomatic        120        245   71.0     6.2
## 3883            no male asymptomatic        120        245   71.0     6.2
## 3884            no male asymptomatic        120        245   71.0     6.2
## 3885            no male asymptomatic        120        245   71.0     6.2
## 3886            no male asymptomatic        120        245   71.0     6.2
## 3887            no male asymptomatic        120        245   71.0     6.2
## 3888            no male asymptomatic        120        245   71.0     6.2
## 3889            no male asymptomatic        120        245  133.0     0.0
## 3890            no male asymptomatic        120        245  133.0     0.0
## 3891            no male asymptomatic        120        245  133.0     0.0
## 3892            no male asymptomatic        120        245  133.0     0.0
## 3893            no male asymptomatic        120        245  133.0     0.0
## 3894            no male asymptomatic        120        245  133.0     0.0
## 3895            no male asymptomatic        120        245  133.0     0.0
## 3896            no male asymptomatic        120        245  133.0     0.0
## 3897            no male asymptomatic        120        245  133.0     0.0
## 3898            no male asymptomatic        120        245  133.0     0.0
## 3899            no male asymptomatic        120        245  133.0     0.0
## 3900            no male asymptomatic        120        245  133.0     0.0
## 3901            no male asymptomatic        120        245  133.0     0.0
## 3902            no male asymptomatic        120        245  133.0     0.0
## 3903            no male asymptomatic        120        245  133.0     0.0
## 3904            no male asymptomatic        120        245  133.0     0.0
## 3905            no male asymptomatic        120        245  133.0     0.0
## 3906            no male asymptomatic        120        245  133.0     0.0
## 3907            no male asymptomatic        120        245  133.0     0.0
## 3908            no male asymptomatic        120        245  133.0     0.0
## 3909            no male asymptomatic        120        245  133.0     0.0
## 3910            no male asymptomatic        120        245  133.0     0.0
## 3911            no male asymptomatic        120        245  133.0     0.0
## 3912            no male asymptomatic        120        245  133.0     0.0
## 3913            no male asymptomatic        120        245  133.0     0.0
## 3914            no male asymptomatic        120        245  133.0     0.0
## 3915            no male asymptomatic        120        245  133.0     0.0
## 3916            no male asymptomatic        120        245  133.0     0.8
## 3917            no male asymptomatic        120        245  133.0     0.8
## 3918            no male asymptomatic        120        245  133.0     0.8
## 3919            no male asymptomatic        120        245  133.0     0.8
## 3920            no male asymptomatic        120        245  133.0     0.8
## 3921            no male asymptomatic        120        245  133.0     0.8
## 3922            no male asymptomatic        120        245  133.0     0.8
## 3923            no male asymptomatic        120        245  133.0     0.8
## 3924            no male asymptomatic        120        245  133.0     0.8
## 3925            no male asymptomatic        120        245  133.0     0.8
## 3926            no male asymptomatic        120        245  133.0     0.8
## 3927            no male asymptomatic        120        245  133.0     0.8
## 3928            no male asymptomatic        120        245  133.0     0.8
## 3929            no male asymptomatic        120        245  133.0     0.8
## 3930            no male asymptomatic        120        245  133.0     0.8
## 3931            no male asymptomatic        120        245  133.0     0.8
## 3932            no male asymptomatic        120        245  133.0     0.8
## 3933            no male asymptomatic        120        245  133.0     0.8
## 3934            no male asymptomatic        120        245  133.0     0.8
## 3935            no male asymptomatic        120        245  133.0     0.8
## 3936            no male asymptomatic        120        245  133.0     0.8
## 3937            no male asymptomatic        120        245  133.0     0.8
## 3938            no male asymptomatic        120        245  133.0     0.8
## 3939            no male asymptomatic        120        245  133.0     0.8
## 3940            no male asymptomatic        120        245  133.0     0.8
## 3941            no male asymptomatic        120        245  133.0     0.8
## 3942            no male asymptomatic        120        245  133.0     0.8
## 3943            no male asymptomatic        120        245  133.0     1.6
## 3944            no male asymptomatic        120        245  133.0     1.6
## 3945            no male asymptomatic        120        245  133.0     1.6
## 3946            no male asymptomatic        120        245  133.0     1.6
## 3947            no male asymptomatic        120        245  133.0     1.6
## 3948            no male asymptomatic        120        245  133.0     1.6
## 3949            no male asymptomatic        120        245  133.0     1.6
## 3950            no male asymptomatic        120        245  133.0     1.6
## 3951            no male asymptomatic        120        245  133.0     1.6
## 3952            no male asymptomatic        120        245  133.0     1.6
## 3953            no male asymptomatic        120        245  133.0     1.6
## 3954            no male asymptomatic        120        245  133.0     1.6
## 3955            no male asymptomatic        120        245  133.0     1.6
## 3956            no male asymptomatic        120        245  133.0     1.6
## 3957            no male asymptomatic        120        245  133.0     1.6
## 3958            no male asymptomatic        120        245  133.0     1.6
## 3959            no male asymptomatic        120        245  133.0     1.6
## 3960            no male asymptomatic        120        245  133.0     1.6
## 3961            no male asymptomatic        120        245  133.0     1.6
## 3962            no male asymptomatic        120        245  133.0     1.6
## 3963            no male asymptomatic        120        245  133.0     1.6
## 3964            no male asymptomatic        120        245  133.0     1.6
## 3965            no male asymptomatic        120        245  133.0     1.6
## 3966            no male asymptomatic        120        245  133.0     1.6
## 3967            no male asymptomatic        120        245  133.0     1.6
## 3968            no male asymptomatic        120        245  133.0     1.6
## 3969            no male asymptomatic        120        245  133.0     1.6
## 3970            no male asymptomatic        120        245  133.0     6.2
## 3971            no male asymptomatic        120        245  133.0     6.2
## 3972            no male asymptomatic        120        245  133.0     6.2
## 3973            no male asymptomatic        120        245  133.0     6.2
## 3974            no male asymptomatic        120        245  133.0     6.2
## 3975            no male asymptomatic        120        245  133.0     6.2
## 3976            no male asymptomatic        120        245  133.0     6.2
## 3977            no male asymptomatic        120        245  133.0     6.2
## 3978            no male asymptomatic        120        245  133.0     6.2
## 3979            no male asymptomatic        120        245  133.0     6.2
## 3980            no male asymptomatic        120        245  133.0     6.2
## 3981            no male asymptomatic        120        245  133.0     6.2
## 3982            no male asymptomatic        120        245  133.0     6.2
## 3983            no male asymptomatic        120        245  133.0     6.2
## 3984            no male asymptomatic        120        245  133.0     6.2
## 3985            no male asymptomatic        120        245  133.0     6.2
## 3986            no male asymptomatic        120        245  133.0     6.2
## 3987            no male asymptomatic        120        245  133.0     6.2
## 3988            no male asymptomatic        120        245  133.0     6.2
## 3989            no male asymptomatic        120        245  133.0     6.2
## 3990            no male asymptomatic        120        245  133.0     6.2
## 3991            no male asymptomatic        120        245  133.0     6.2
## 3992            no male asymptomatic        120        245  133.0     6.2
## 3993            no male asymptomatic        120        245  133.0     6.2
## 3994            no male asymptomatic        120        245  133.0     6.2
## 3995            no male asymptomatic        120        245  133.0     6.2
## 3996            no male asymptomatic        120        245  133.0     6.2
## 3997            no male asymptomatic        120        245  153.5     0.0
## 3998            no male asymptomatic        120        245  153.5     0.0
## 3999            no male asymptomatic        120        245  153.5     0.0
## 4000            no male asymptomatic        120        245  153.5     0.0
## 4001            no male asymptomatic        120        245  153.5     0.0
## 4002            no male asymptomatic        120        245  153.5     0.0
## 4003            no male asymptomatic        120        245  153.5     0.0
## 4004            no male asymptomatic        120        245  153.5     0.0
## 4005            no male asymptomatic        120        245  153.5     0.0
## 4006            no male asymptomatic        120        245  153.5     0.0
## 4007            no male asymptomatic        120        245  153.5     0.0
## 4008            no male asymptomatic        120        245  153.5     0.0
## 4009            no male asymptomatic        120        245  153.5     0.0
## 4010            no male asymptomatic        120        245  153.5     0.0
## 4011            no male asymptomatic        120        245  153.5     0.0
## 4012            no male asymptomatic        120        245  153.5     0.0
## 4013            no male asymptomatic        120        245  153.5     0.0
## 4014            no male asymptomatic        120        245  153.5     0.0
## 4015            no male asymptomatic        120        245  153.5     0.0
## 4016            no male asymptomatic        120        245  153.5     0.0
## 4017            no male asymptomatic        120        245  153.5     0.0
## 4018            no male asymptomatic        120        245  153.5     0.0
## 4019            no male asymptomatic        120        245  153.5     0.0
## 4020            no male asymptomatic        120        245  153.5     0.0
## 4021            no male asymptomatic        120        245  153.5     0.0
## 4022            no male asymptomatic        120        245  153.5     0.0
## 4023            no male asymptomatic        120        245  153.5     0.0
## 4024            no male asymptomatic        120        245  153.5     0.8
## 4025            no male asymptomatic        120        245  153.5     0.8
## 4026            no male asymptomatic        120        245  153.5     0.8
## 4027            no male asymptomatic        120        245  153.5     0.8
## 4028            no male asymptomatic        120        245  153.5     0.8
## 4029            no male asymptomatic        120        245  153.5     0.8
## 4030            no male asymptomatic        120        245  153.5     0.8
## 4031            no male asymptomatic        120        245  153.5     0.8
## 4032            no male asymptomatic        120        245  153.5     0.8
## 4033            no male asymptomatic        120        245  153.5     0.8
## 4034            no male asymptomatic        120        245  153.5     0.8
## 4035            no male asymptomatic        120        245  153.5     0.8
## 4036            no male asymptomatic        120        245  153.5     0.8
## 4037            no male asymptomatic        120        245  153.5     0.8
## 4038            no male asymptomatic        120        245  153.5     0.8
## 4039            no male asymptomatic        120        245  153.5     0.8
## 4040            no male asymptomatic        120        245  153.5     0.8
## 4041            no male asymptomatic        120        245  153.5     0.8
## 4042            no male asymptomatic        120        245  153.5     0.8
## 4043            no male asymptomatic        120        245  153.5     0.8
## 4044            no male asymptomatic        120        245  153.5     0.8
## 4045            no male asymptomatic        120        245  153.5     0.8
## 4046            no male asymptomatic        120        245  153.5     0.8
## 4047            no male asymptomatic        120        245  153.5     0.8
## 4048            no male asymptomatic        120        245  153.5     0.8
## 4049            no male asymptomatic        120        245  153.5     0.8
## 4050            no male asymptomatic        120        245  153.5     0.8
## 4051            no male asymptomatic        120        245  153.5     1.6
## 4052            no male asymptomatic        120        245  153.5     1.6
## 4053            no male asymptomatic        120        245  153.5     1.6
## 4054            no male asymptomatic        120        245  153.5     1.6
## 4055            no male asymptomatic        120        245  153.5     1.6
## 4056            no male asymptomatic        120        245  153.5     1.6
## 4057            no male asymptomatic        120        245  153.5     1.6
## 4058            no male asymptomatic        120        245  153.5     1.6
## 4059            no male asymptomatic        120        245  153.5     1.6
## 4060            no male asymptomatic        120        245  153.5     1.6
## 4061            no male asymptomatic        120        245  153.5     1.6
## 4062            no male asymptomatic        120        245  153.5     1.6
## 4063            no male asymptomatic        120        245  153.5     1.6
## 4064            no male asymptomatic        120        245  153.5     1.6
## 4065            no male asymptomatic        120        245  153.5     1.6
## 4066            no male asymptomatic        120        245  153.5     1.6
## 4067            no male asymptomatic        120        245  153.5     1.6
## 4068            no male asymptomatic        120        245  153.5     1.6
## 4069            no male asymptomatic        120        245  153.5     1.6
## 4070            no male asymptomatic        120        245  153.5     1.6
## 4071            no male asymptomatic        120        245  153.5     1.6
## 4072            no male asymptomatic        120        245  153.5     1.6
## 4073            no male asymptomatic        120        245  153.5     1.6
## 4074            no male asymptomatic        120        245  153.5     1.6
## 4075            no male asymptomatic        120        245  153.5     1.6
## 4076            no male asymptomatic        120        245  153.5     1.6
## 4077            no male asymptomatic        120        245  153.5     1.6
## 4078            no male asymptomatic        120        245  153.5     6.2
## 4079            no male asymptomatic        120        245  153.5     6.2
## 4080            no male asymptomatic        120        245  153.5     6.2
## 4081            no male asymptomatic        120        245  153.5     6.2
## 4082            no male asymptomatic        120        245  153.5     6.2
## 4083            no male asymptomatic        120        245  153.5     6.2
## 4084            no male asymptomatic        120        245  153.5     6.2
## 4085            no male asymptomatic        120        245  153.5     6.2
## 4086            no male asymptomatic        120        245  153.5     6.2
## 4087            no male asymptomatic        120        245  153.5     6.2
## 4088            no male asymptomatic        120        245  153.5     6.2
## 4089            no male asymptomatic        120        245  153.5     6.2
## 4090            no male asymptomatic        120        245  153.5     6.2
## 4091            no male asymptomatic        120        245  153.5     6.2
## 4092            no male asymptomatic        120        245  153.5     6.2
## 4093            no male asymptomatic        120        245  153.5     6.2
## 4094            no male asymptomatic        120        245  153.5     6.2
## 4095            no male asymptomatic        120        245  153.5     6.2
## 4096            no male asymptomatic        120        245  153.5     6.2
## 4097            no male asymptomatic        120        245  153.5     6.2
## 4098            no male asymptomatic        120        245  153.5     6.2
## 4099            no male asymptomatic        120        245  153.5     6.2
## 4100            no male asymptomatic        120        245  153.5     6.2
## 4101            no male asymptomatic        120        245  153.5     6.2
## 4102            no male asymptomatic        120        245  153.5     6.2
## 4103            no male asymptomatic        120        245  153.5     6.2
## 4104            no male asymptomatic        120        245  153.5     6.2
## 4105            no male asymptomatic        120        245  166.0     0.0
## 4106            no male asymptomatic        120        245  166.0     0.0
## 4107            no male asymptomatic        120        245  166.0     0.0
## 4108            no male asymptomatic        120        245  166.0     0.0
## 4109            no male asymptomatic        120        245  166.0     0.0
## 4110            no male asymptomatic        120        245  166.0     0.0
## 4111            no male asymptomatic        120        245  166.0     0.0
## 4112            no male asymptomatic        120        245  166.0     0.0
## 4113            no male asymptomatic        120        245  166.0     0.0
## 4114            no male asymptomatic        120        245  166.0     0.0
## 4115            no male asymptomatic        120        245  166.0     0.0
## 4116            no male asymptomatic        120        245  166.0     0.0
## 4117            no male asymptomatic        120        245  166.0     0.0
## 4118            no male asymptomatic        120        245  166.0     0.0
## 4119            no male asymptomatic        120        245  166.0     0.0
## 4120            no male asymptomatic        120        245  166.0     0.0
## 4121            no male asymptomatic        120        245  166.0     0.0
## 4122            no male asymptomatic        120        245  166.0     0.0
## 4123            no male asymptomatic        120        245  166.0     0.0
## 4124            no male asymptomatic        120        245  166.0     0.0
## 4125            no male asymptomatic        120        245  166.0     0.0
## 4126            no male asymptomatic        120        245  166.0     0.0
## 4127            no male asymptomatic        120        245  166.0     0.0
## 4128            no male asymptomatic        120        245  166.0     0.0
## 4129            no male asymptomatic        120        245  166.0     0.0
## 4130            no male asymptomatic        120        245  166.0     0.0
## 4131            no male asymptomatic        120        245  166.0     0.0
## 4132            no male asymptomatic        120        245  166.0     0.8
## 4133            no male asymptomatic        120        245  166.0     0.8
## 4134            no male asymptomatic        120        245  166.0     0.8
## 4135            no male asymptomatic        120        245  166.0     0.8
## 4136            no male asymptomatic        120        245  166.0     0.8
## 4137            no male asymptomatic        120        245  166.0     0.8
## 4138            no male asymptomatic        120        245  166.0     0.8
## 4139            no male asymptomatic        120        245  166.0     0.8
## 4140            no male asymptomatic        120        245  166.0     0.8
## 4141            no male asymptomatic        120        245  166.0     0.8
## 4142            no male asymptomatic        120        245  166.0     0.8
## 4143            no male asymptomatic        120        245  166.0     0.8
## 4144            no male asymptomatic        120        245  166.0     0.8
## 4145            no male asymptomatic        120        245  166.0     0.8
## 4146            no male asymptomatic        120        245  166.0     0.8
## 4147            no male asymptomatic        120        245  166.0     0.8
## 4148            no male asymptomatic        120        245  166.0     0.8
## 4149            no male asymptomatic        120        245  166.0     0.8
## 4150            no male asymptomatic        120        245  166.0     0.8
## 4151            no male asymptomatic        120        245  166.0     0.8
## 4152            no male asymptomatic        120        245  166.0     0.8
## 4153            no male asymptomatic        120        245  166.0     0.8
## 4154            no male asymptomatic        120        245  166.0     0.8
## 4155            no male asymptomatic        120        245  166.0     0.8
## 4156            no male asymptomatic        120        245  166.0     0.8
## 4157            no male asymptomatic        120        245  166.0     0.8
## 4158            no male asymptomatic        120        245  166.0     0.8
## 4159            no male asymptomatic        120        245  166.0     1.6
## 4160            no male asymptomatic        120        245  166.0     1.6
## 4161            no male asymptomatic        120        245  166.0     1.6
## 4162            no male asymptomatic        120        245  166.0     1.6
## 4163            no male asymptomatic        120        245  166.0     1.6
## 4164            no male asymptomatic        120        245  166.0     1.6
## 4165            no male asymptomatic        120        245  166.0     1.6
## 4166            no male asymptomatic        120        245  166.0     1.6
## 4167            no male asymptomatic        120        245  166.0     1.6
## 4168            no male asymptomatic        120        245  166.0     1.6
## 4169            no male asymptomatic        120        245  166.0     1.6
## 4170            no male asymptomatic        120        245  166.0     1.6
## 4171            no male asymptomatic        120        245  166.0     1.6
## 4172            no male asymptomatic        120        245  166.0     1.6
## 4173            no male asymptomatic        120        245  166.0     1.6
## 4174            no male asymptomatic        120        245  166.0     1.6
## 4175            no male asymptomatic        120        245  166.0     1.6
## 4176            no male asymptomatic        120        245  166.0     1.6
## 4177            no male asymptomatic        120        245  166.0     1.6
## 4178            no male asymptomatic        120        245  166.0     1.6
## 4179            no male asymptomatic        120        245  166.0     1.6
## 4180            no male asymptomatic        120        245  166.0     1.6
## 4181            no male asymptomatic        120        245  166.0     1.6
## 4182            no male asymptomatic        120        245  166.0     1.6
## 4183            no male asymptomatic        120        245  166.0     1.6
## 4184            no male asymptomatic        120        245  166.0     1.6
## 4185            no male asymptomatic        120        245  166.0     1.6
## 4186            no male asymptomatic        120        245  166.0     6.2
## 4187            no male asymptomatic        120        245  166.0     6.2
## 4188            no male asymptomatic        120        245  166.0     6.2
## 4189            no male asymptomatic        120        245  166.0     6.2
## 4190            no male asymptomatic        120        245  166.0     6.2
## 4191            no male asymptomatic        120        245  166.0     6.2
## 4192            no male asymptomatic        120        245  166.0     6.2
## 4193            no male asymptomatic        120        245  166.0     6.2
## 4194            no male asymptomatic        120        245  166.0     6.2
## 4195            no male asymptomatic        120        245  166.0     6.2
## 4196            no male asymptomatic        120        245  166.0     6.2
## 4197            no male asymptomatic        120        245  166.0     6.2
## 4198            no male asymptomatic        120        245  166.0     6.2
## 4199            no male asymptomatic        120        245  166.0     6.2
## 4200            no male asymptomatic        120        245  166.0     6.2
## 4201            no male asymptomatic        120        245  166.0     6.2
## 4202            no male asymptomatic        120        245  166.0     6.2
## 4203            no male asymptomatic        120        245  166.0     6.2
## 4204            no male asymptomatic        120        245  166.0     6.2
## 4205            no male asymptomatic        120        245  166.0     6.2
## 4206            no male asymptomatic        120        245  166.0     6.2
## 4207            no male asymptomatic        120        245  166.0     6.2
## 4208            no male asymptomatic        120        245  166.0     6.2
## 4209            no male asymptomatic        120        245  166.0     6.2
## 4210            no male asymptomatic        120        245  166.0     6.2
## 4211            no male asymptomatic        120        245  166.0     6.2
## 4212            no male asymptomatic        120        245  166.0     6.2
## 4213            no male asymptomatic        120        245  202.0     0.0
## 4214            no male asymptomatic        120        245  202.0     0.0
## 4215            no male asymptomatic        120        245  202.0     0.0
## 4216            no male asymptomatic        120        245  202.0     0.0
## 4217            no male asymptomatic        120        245  202.0     0.0
## 4218            no male asymptomatic        120        245  202.0     0.0
## 4219            no male asymptomatic        120        245  202.0     0.0
## 4220            no male asymptomatic        120        245  202.0     0.0
## 4221            no male asymptomatic        120        245  202.0     0.0
## 4222            no male asymptomatic        120        245  202.0     0.0
## 4223            no male asymptomatic        120        245  202.0     0.0
## 4224            no male asymptomatic        120        245  202.0     0.0
## 4225            no male asymptomatic        120        245  202.0     0.0
## 4226            no male asymptomatic        120        245  202.0     0.0
## 4227            no male asymptomatic        120        245  202.0     0.0
## 4228            no male asymptomatic        120        245  202.0     0.0
## 4229            no male asymptomatic        120        245  202.0     0.0
## 4230            no male asymptomatic        120        245  202.0     0.0
## 4231            no male asymptomatic        120        245  202.0     0.0
## 4232            no male asymptomatic        120        245  202.0     0.0
## 4233            no male asymptomatic        120        245  202.0     0.0
## 4234            no male asymptomatic        120        245  202.0     0.0
## 4235            no male asymptomatic        120        245  202.0     0.0
## 4236            no male asymptomatic        120        245  202.0     0.0
## 4237            no male asymptomatic        120        245  202.0     0.0
## 4238            no male asymptomatic        120        245  202.0     0.0
## 4239            no male asymptomatic        120        245  202.0     0.0
## 4240            no male asymptomatic        120        245  202.0     0.8
## 4241            no male asymptomatic        120        245  202.0     0.8
## 4242            no male asymptomatic        120        245  202.0     0.8
## 4243            no male asymptomatic        120        245  202.0     0.8
## 4244            no male asymptomatic        120        245  202.0     0.8
## 4245            no male asymptomatic        120        245  202.0     0.8
## 4246            no male asymptomatic        120        245  202.0     0.8
## 4247            no male asymptomatic        120        245  202.0     0.8
## 4248            no male asymptomatic        120        245  202.0     0.8
## 4249            no male asymptomatic        120        245  202.0     0.8
## 4250            no male asymptomatic        120        245  202.0     0.8
## 4251            no male asymptomatic        120        245  202.0     0.8
## 4252            no male asymptomatic        120        245  202.0     0.8
## 4253            no male asymptomatic        120        245  202.0     0.8
## 4254            no male asymptomatic        120        245  202.0     0.8
## 4255            no male asymptomatic        120        245  202.0     0.8
## 4256            no male asymptomatic        120        245  202.0     0.8
## 4257            no male asymptomatic        120        245  202.0     0.8
## 4258            no male asymptomatic        120        245  202.0     0.8
## 4259            no male asymptomatic        120        245  202.0     0.8
## 4260            no male asymptomatic        120        245  202.0     0.8
## 4261            no male asymptomatic        120        245  202.0     0.8
## 4262            no male asymptomatic        120        245  202.0     0.8
## 4263            no male asymptomatic        120        245  202.0     0.8
## 4264            no male asymptomatic        120        245  202.0     0.8
## 4265            no male asymptomatic        120        245  202.0     0.8
## 4266            no male asymptomatic        120        245  202.0     0.8
## 4267            no male asymptomatic        120        245  202.0     1.6
## 4268            no male asymptomatic        120        245  202.0     1.6
## 4269            no male asymptomatic        120        245  202.0     1.6
## 4270            no male asymptomatic        120        245  202.0     1.6
## 4271            no male asymptomatic        120        245  202.0     1.6
## 4272            no male asymptomatic        120        245  202.0     1.6
## 4273            no male asymptomatic        120        245  202.0     1.6
## 4274            no male asymptomatic        120        245  202.0     1.6
## 4275            no male asymptomatic        120        245  202.0     1.6
## 4276            no male asymptomatic        120        245  202.0     1.6
## 4277            no male asymptomatic        120        245  202.0     1.6
## 4278            no male asymptomatic        120        245  202.0     1.6
## 4279            no male asymptomatic        120        245  202.0     1.6
## 4280            no male asymptomatic        120        245  202.0     1.6
## 4281            no male asymptomatic        120        245  202.0     1.6
## 4282            no male asymptomatic        120        245  202.0     1.6
## 4283            no male asymptomatic        120        245  202.0     1.6
## 4284            no male asymptomatic        120        245  202.0     1.6
## 4285            no male asymptomatic        120        245  202.0     1.6
## 4286            no male asymptomatic        120        245  202.0     1.6
## 4287            no male asymptomatic        120        245  202.0     1.6
## 4288            no male asymptomatic        120        245  202.0     1.6
## 4289            no male asymptomatic        120        245  202.0     1.6
## 4290            no male asymptomatic        120        245  202.0     1.6
## 4291            no male asymptomatic        120        245  202.0     1.6
## 4292            no male asymptomatic        120        245  202.0     1.6
## 4293            no male asymptomatic        120        245  202.0     1.6
## 4294            no male asymptomatic        120        245  202.0     6.2
## 4295            no male asymptomatic        120        245  202.0     6.2
## 4296            no male asymptomatic        120        245  202.0     6.2
## 4297            no male asymptomatic        120        245  202.0     6.2
## 4298            no male asymptomatic        120        245  202.0     6.2
## 4299            no male asymptomatic        120        245  202.0     6.2
## 4300            no male asymptomatic        120        245  202.0     6.2
## 4301            no male asymptomatic        120        245  202.0     6.2
## 4302            no male asymptomatic        120        245  202.0     6.2
## 4303            no male asymptomatic        120        245  202.0     6.2
## 4304            no male asymptomatic        120        245  202.0     6.2
## 4305            no male asymptomatic        120        245  202.0     6.2
## 4306            no male asymptomatic        120        245  202.0     6.2
## 4307            no male asymptomatic        120        245  202.0     6.2
## 4308            no male asymptomatic        120        245  202.0     6.2
## 4309            no male asymptomatic        120        245  202.0     6.2
## 4310            no male asymptomatic        120        245  202.0     6.2
## 4311            no male asymptomatic        120        245  202.0     6.2
## 4312            no male asymptomatic        120        245  202.0     6.2
## 4313            no male asymptomatic        120        245  202.0     6.2
## 4314            no male asymptomatic        120        245  202.0     6.2
## 4315            no male asymptomatic        120        245  202.0     6.2
## 4316            no male asymptomatic        120        245  202.0     6.2
## 4317            no male asymptomatic        120        245  202.0     6.2
## 4318            no male asymptomatic        120        245  202.0     6.2
## 4319            no male asymptomatic        120        245  202.0     6.2
## 4320            no male asymptomatic        120        245  202.0     6.2
## 4321            no male asymptomatic        120        281   71.0     0.0
## 4322            no male asymptomatic        120        281   71.0     0.0
## 4323            no male asymptomatic        120        281   71.0     0.0
## 4324            no male asymptomatic        120        281   71.0     0.0
## 4325            no male asymptomatic        120        281   71.0     0.0
## 4326            no male asymptomatic        120        281   71.0     0.0
## 4327            no male asymptomatic        120        281   71.0     0.0
## 4328            no male asymptomatic        120        281   71.0     0.0
## 4329            no male asymptomatic        120        281   71.0     0.0
## 4330            no male asymptomatic        120        281   71.0     0.0
## 4331            no male asymptomatic        120        281   71.0     0.0
## 4332            no male asymptomatic        120        281   71.0     0.0
## 4333            no male asymptomatic        120        281   71.0     0.0
## 4334            no male asymptomatic        120        281   71.0     0.0
## 4335            no male asymptomatic        120        281   71.0     0.0
## 4336            no male asymptomatic        120        281   71.0     0.0
## 4337            no male asymptomatic        120        281   71.0     0.0
## 4338            no male asymptomatic        120        281   71.0     0.0
## 4339            no male asymptomatic        120        281   71.0     0.0
## 4340            no male asymptomatic        120        281   71.0     0.0
## 4341            no male asymptomatic        120        281   71.0     0.0
## 4342            no male asymptomatic        120        281   71.0     0.0
## 4343            no male asymptomatic        120        281   71.0     0.0
## 4344            no male asymptomatic        120        281   71.0     0.0
## 4345            no male asymptomatic        120        281   71.0     0.0
## 4346            no male asymptomatic        120        281   71.0     0.0
## 4347            no male asymptomatic        120        281   71.0     0.0
## 4348            no male asymptomatic        120        281   71.0     0.8
## 4349            no male asymptomatic        120        281   71.0     0.8
## 4350            no male asymptomatic        120        281   71.0     0.8
## 4351            no male asymptomatic        120        281   71.0     0.8
## 4352            no male asymptomatic        120        281   71.0     0.8
## 4353            no male asymptomatic        120        281   71.0     0.8
## 4354            no male asymptomatic        120        281   71.0     0.8
## 4355            no male asymptomatic        120        281   71.0     0.8
## 4356            no male asymptomatic        120        281   71.0     0.8
## 4357            no male asymptomatic        120        281   71.0     0.8
## 4358            no male asymptomatic        120        281   71.0     0.8
## 4359            no male asymptomatic        120        281   71.0     0.8
## 4360            no male asymptomatic        120        281   71.0     0.8
## 4361            no male asymptomatic        120        281   71.0     0.8
## 4362            no male asymptomatic        120        281   71.0     0.8
## 4363            no male asymptomatic        120        281   71.0     0.8
## 4364            no male asymptomatic        120        281   71.0     0.8
## 4365            no male asymptomatic        120        281   71.0     0.8
## 4366            no male asymptomatic        120        281   71.0     0.8
## 4367            no male asymptomatic        120        281   71.0     0.8
## 4368            no male asymptomatic        120        281   71.0     0.8
## 4369            no male asymptomatic        120        281   71.0     0.8
## 4370            no male asymptomatic        120        281   71.0     0.8
## 4371            no male asymptomatic        120        281   71.0     0.8
## 4372            no male asymptomatic        120        281   71.0     0.8
## 4373            no male asymptomatic        120        281   71.0     0.8
## 4374            no male asymptomatic        120        281   71.0     0.8
## 4375            no male asymptomatic        120        281   71.0     1.6
## 4376            no male asymptomatic        120        281   71.0     1.6
## 4377            no male asymptomatic        120        281   71.0     1.6
## 4378            no male asymptomatic        120        281   71.0     1.6
## 4379            no male asymptomatic        120        281   71.0     1.6
## 4380            no male asymptomatic        120        281   71.0     1.6
## 4381            no male asymptomatic        120        281   71.0     1.6
## 4382            no male asymptomatic        120        281   71.0     1.6
## 4383            no male asymptomatic        120        281   71.0     1.6
## 4384            no male asymptomatic        120        281   71.0     1.6
## 4385            no male asymptomatic        120        281   71.0     1.6
## 4386            no male asymptomatic        120        281   71.0     1.6
## 4387            no male asymptomatic        120        281   71.0     1.6
## 4388            no male asymptomatic        120        281   71.0     1.6
## 4389            no male asymptomatic        120        281   71.0     1.6
## 4390            no male asymptomatic        120        281   71.0     1.6
## 4391            no male asymptomatic        120        281   71.0     1.6
## 4392            no male asymptomatic        120        281   71.0     1.6
## 4393            no male asymptomatic        120        281   71.0     1.6
## 4394            no male asymptomatic        120        281   71.0     1.6
## 4395            no male asymptomatic        120        281   71.0     1.6
## 4396            no male asymptomatic        120        281   71.0     1.6
## 4397            no male asymptomatic        120        281   71.0     1.6
## 4398            no male asymptomatic        120        281   71.0     1.6
## 4399            no male asymptomatic        120        281   71.0     1.6
## 4400            no male asymptomatic        120        281   71.0     1.6
## 4401            no male asymptomatic        120        281   71.0     1.6
## 4402            no male asymptomatic        120        281   71.0     6.2
## 4403            no male asymptomatic        120        281   71.0     6.2
## 4404            no male asymptomatic        120        281   71.0     6.2
## 4405            no male asymptomatic        120        281   71.0     6.2
## 4406            no male asymptomatic        120        281   71.0     6.2
## 4407            no male asymptomatic        120        281   71.0     6.2
## 4408            no male asymptomatic        120        281   71.0     6.2
## 4409            no male asymptomatic        120        281   71.0     6.2
## 4410            no male asymptomatic        120        281   71.0     6.2
## 4411            no male asymptomatic        120        281   71.0     6.2
## 4412            no male asymptomatic        120        281   71.0     6.2
## 4413            no male asymptomatic        120        281   71.0     6.2
## 4414            no male asymptomatic        120        281   71.0     6.2
## 4415            no male asymptomatic        120        281   71.0     6.2
## 4416            no male asymptomatic        120        281   71.0     6.2
## 4417            no male asymptomatic        120        281   71.0     6.2
## 4418            no male asymptomatic        120        281   71.0     6.2
## 4419            no male asymptomatic        120        281   71.0     6.2
## 4420            no male asymptomatic        120        281   71.0     6.2
## 4421            no male asymptomatic        120        281   71.0     6.2
## 4422            no male asymptomatic        120        281   71.0     6.2
## 4423            no male asymptomatic        120        281   71.0     6.2
## 4424            no male asymptomatic        120        281   71.0     6.2
## 4425            no male asymptomatic        120        281   71.0     6.2
## 4426            no male asymptomatic        120        281   71.0     6.2
## 4427            no male asymptomatic        120        281   71.0     6.2
## 4428            no male asymptomatic        120        281   71.0     6.2
## 4429            no male asymptomatic        120        281  133.0     0.0
## 4430            no male asymptomatic        120        281  133.0     0.0
## 4431            no male asymptomatic        120        281  133.0     0.0
## 4432            no male asymptomatic        120        281  133.0     0.0
## 4433            no male asymptomatic        120        281  133.0     0.0
## 4434            no male asymptomatic        120        281  133.0     0.0
## 4435            no male asymptomatic        120        281  133.0     0.0
## 4436            no male asymptomatic        120        281  133.0     0.0
## 4437            no male asymptomatic        120        281  133.0     0.0
## 4438            no male asymptomatic        120        281  133.0     0.0
## 4439            no male asymptomatic        120        281  133.0     0.0
## 4440            no male asymptomatic        120        281  133.0     0.0
## 4441            no male asymptomatic        120        281  133.0     0.0
## 4442            no male asymptomatic        120        281  133.0     0.0
## 4443            no male asymptomatic        120        281  133.0     0.0
## 4444            no male asymptomatic        120        281  133.0     0.0
## 4445            no male asymptomatic        120        281  133.0     0.0
## 4446            no male asymptomatic        120        281  133.0     0.0
## 4447            no male asymptomatic        120        281  133.0     0.0
## 4448            no male asymptomatic        120        281  133.0     0.0
## 4449            no male asymptomatic        120        281  133.0     0.0
## 4450            no male asymptomatic        120        281  133.0     0.0
## 4451            no male asymptomatic        120        281  133.0     0.0
## 4452            no male asymptomatic        120        281  133.0     0.0
## 4453            no male asymptomatic        120        281  133.0     0.0
## 4454            no male asymptomatic        120        281  133.0     0.0
## 4455            no male asymptomatic        120        281  133.0     0.0
## 4456            no male asymptomatic        120        281  133.0     0.8
## 4457            no male asymptomatic        120        281  133.0     0.8
## 4458            no male asymptomatic        120        281  133.0     0.8
## 4459            no male asymptomatic        120        281  133.0     0.8
## 4460            no male asymptomatic        120        281  133.0     0.8
## 4461            no male asymptomatic        120        281  133.0     0.8
## 4462            no male asymptomatic        120        281  133.0     0.8
## 4463            no male asymptomatic        120        281  133.0     0.8
## 4464            no male asymptomatic        120        281  133.0     0.8
## 4465            no male asymptomatic        120        281  133.0     0.8
## 4466            no male asymptomatic        120        281  133.0     0.8
## 4467            no male asymptomatic        120        281  133.0     0.8
## 4468            no male asymptomatic        120        281  133.0     0.8
## 4469            no male asymptomatic        120        281  133.0     0.8
## 4470            no male asymptomatic        120        281  133.0     0.8
## 4471            no male asymptomatic        120        281  133.0     0.8
## 4472            no male asymptomatic        120        281  133.0     0.8
## 4473            no male asymptomatic        120        281  133.0     0.8
## 4474            no male asymptomatic        120        281  133.0     0.8
## 4475            no male asymptomatic        120        281  133.0     0.8
## 4476            no male asymptomatic        120        281  133.0     0.8
## 4477            no male asymptomatic        120        281  133.0     0.8
## 4478            no male asymptomatic        120        281  133.0     0.8
## 4479            no male asymptomatic        120        281  133.0     0.8
## 4480            no male asymptomatic        120        281  133.0     0.8
## 4481            no male asymptomatic        120        281  133.0     0.8
## 4482            no male asymptomatic        120        281  133.0     0.8
## 4483            no male asymptomatic        120        281  133.0     1.6
## 4484            no male asymptomatic        120        281  133.0     1.6
## 4485            no male asymptomatic        120        281  133.0     1.6
## 4486            no male asymptomatic        120        281  133.0     1.6
## 4487            no male asymptomatic        120        281  133.0     1.6
## 4488            no male asymptomatic        120        281  133.0     1.6
## 4489            no male asymptomatic        120        281  133.0     1.6
## 4490            no male asymptomatic        120        281  133.0     1.6
## 4491            no male asymptomatic        120        281  133.0     1.6
## 4492            no male asymptomatic        120        281  133.0     1.6
## 4493            no male asymptomatic        120        281  133.0     1.6
## 4494            no male asymptomatic        120        281  133.0     1.6
## 4495            no male asymptomatic        120        281  133.0     1.6
## 4496            no male asymptomatic        120        281  133.0     1.6
## 4497            no male asymptomatic        120        281  133.0     1.6
## 4498            no male asymptomatic        120        281  133.0     1.6
## 4499            no male asymptomatic        120        281  133.0     1.6
## 4500            no male asymptomatic        120        281  133.0     1.6
## 4501            no male asymptomatic        120        281  133.0     1.6
## 4502            no male asymptomatic        120        281  133.0     1.6
## 4503            no male asymptomatic        120        281  133.0     1.6
## 4504            no male asymptomatic        120        281  133.0     1.6
## 4505            no male asymptomatic        120        281  133.0     1.6
## 4506            no male asymptomatic        120        281  133.0     1.6
## 4507            no male asymptomatic        120        281  133.0     1.6
## 4508            no male asymptomatic        120        281  133.0     1.6
## 4509            no male asymptomatic        120        281  133.0     1.6
## 4510            no male asymptomatic        120        281  133.0     6.2
## 4511            no male asymptomatic        120        281  133.0     6.2
## 4512            no male asymptomatic        120        281  133.0     6.2
## 4513            no male asymptomatic        120        281  133.0     6.2
## 4514            no male asymptomatic        120        281  133.0     6.2
## 4515            no male asymptomatic        120        281  133.0     6.2
## 4516            no male asymptomatic        120        281  133.0     6.2
## 4517            no male asymptomatic        120        281  133.0     6.2
## 4518            no male asymptomatic        120        281  133.0     6.2
## 4519            no male asymptomatic        120        281  133.0     6.2
## 4520            no male asymptomatic        120        281  133.0     6.2
## 4521            no male asymptomatic        120        281  133.0     6.2
## 4522            no male asymptomatic        120        281  133.0     6.2
## 4523            no male asymptomatic        120        281  133.0     6.2
## 4524            no male asymptomatic        120        281  133.0     6.2
## 4525            no male asymptomatic        120        281  133.0     6.2
## 4526            no male asymptomatic        120        281  133.0     6.2
## 4527            no male asymptomatic        120        281  133.0     6.2
## 4528            no male asymptomatic        120        281  133.0     6.2
## 4529            no male asymptomatic        120        281  133.0     6.2
## 4530            no male asymptomatic        120        281  133.0     6.2
## 4531            no male asymptomatic        120        281  133.0     6.2
## 4532            no male asymptomatic        120        281  133.0     6.2
## 4533            no male asymptomatic        120        281  133.0     6.2
## 4534            no male asymptomatic        120        281  133.0     6.2
## 4535            no male asymptomatic        120        281  133.0     6.2
## 4536            no male asymptomatic        120        281  133.0     6.2
## 4537            no male asymptomatic        120        281  153.5     0.0
## 4538            no male asymptomatic        120        281  153.5     0.0
## 4539            no male asymptomatic        120        281  153.5     0.0
## 4540            no male asymptomatic        120        281  153.5     0.0
## 4541            no male asymptomatic        120        281  153.5     0.0
## 4542            no male asymptomatic        120        281  153.5     0.0
## 4543            no male asymptomatic        120        281  153.5     0.0
## 4544            no male asymptomatic        120        281  153.5     0.0
## 4545            no male asymptomatic        120        281  153.5     0.0
## 4546            no male asymptomatic        120        281  153.5     0.0
## 4547            no male asymptomatic        120        281  153.5     0.0
## 4548            no male asymptomatic        120        281  153.5     0.0
## 4549            no male asymptomatic        120        281  153.5     0.0
## 4550            no male asymptomatic        120        281  153.5     0.0
## 4551            no male asymptomatic        120        281  153.5     0.0
## 4552            no male asymptomatic        120        281  153.5     0.0
## 4553            no male asymptomatic        120        281  153.5     0.0
## 4554            no male asymptomatic        120        281  153.5     0.0
## 4555            no male asymptomatic        120        281  153.5     0.0
## 4556            no male asymptomatic        120        281  153.5     0.0
## 4557            no male asymptomatic        120        281  153.5     0.0
## 4558            no male asymptomatic        120        281  153.5     0.0
## 4559            no male asymptomatic        120        281  153.5     0.0
## 4560            no male asymptomatic        120        281  153.5     0.0
## 4561            no male asymptomatic        120        281  153.5     0.0
## 4562            no male asymptomatic        120        281  153.5     0.0
## 4563            no male asymptomatic        120        281  153.5     0.0
## 4564            no male asymptomatic        120        281  153.5     0.8
## 4565            no male asymptomatic        120        281  153.5     0.8
## 4566            no male asymptomatic        120        281  153.5     0.8
## 4567            no male asymptomatic        120        281  153.5     0.8
## 4568            no male asymptomatic        120        281  153.5     0.8
## 4569            no male asymptomatic        120        281  153.5     0.8
## 4570            no male asymptomatic        120        281  153.5     0.8
## 4571            no male asymptomatic        120        281  153.5     0.8
## 4572            no male asymptomatic        120        281  153.5     0.8
## 4573            no male asymptomatic        120        281  153.5     0.8
## 4574            no male asymptomatic        120        281  153.5     0.8
## 4575            no male asymptomatic        120        281  153.5     0.8
## 4576            no male asymptomatic        120        281  153.5     0.8
## 4577            no male asymptomatic        120        281  153.5     0.8
## 4578            no male asymptomatic        120        281  153.5     0.8
## 4579            no male asymptomatic        120        281  153.5     0.8
## 4580            no male asymptomatic        120        281  153.5     0.8
## 4581            no male asymptomatic        120        281  153.5     0.8
## 4582            no male asymptomatic        120        281  153.5     0.8
## 4583            no male asymptomatic        120        281  153.5     0.8
## 4584            no male asymptomatic        120        281  153.5     0.8
## 4585            no male asymptomatic        120        281  153.5     0.8
## 4586            no male asymptomatic        120        281  153.5     0.8
## 4587            no male asymptomatic        120        281  153.5     0.8
## 4588            no male asymptomatic        120        281  153.5     0.8
## 4589            no male asymptomatic        120        281  153.5     0.8
## 4590            no male asymptomatic        120        281  153.5     0.8
## 4591            no male asymptomatic        120        281  153.5     1.6
## 4592            no male asymptomatic        120        281  153.5     1.6
## 4593            no male asymptomatic        120        281  153.5     1.6
## 4594            no male asymptomatic        120        281  153.5     1.6
## 4595            no male asymptomatic        120        281  153.5     1.6
## 4596            no male asymptomatic        120        281  153.5     1.6
## 4597            no male asymptomatic        120        281  153.5     1.6
## 4598            no male asymptomatic        120        281  153.5     1.6
## 4599            no male asymptomatic        120        281  153.5     1.6
## 4600            no male asymptomatic        120        281  153.5     1.6
## 4601            no male asymptomatic        120        281  153.5     1.6
## 4602            no male asymptomatic        120        281  153.5     1.6
## 4603            no male asymptomatic        120        281  153.5     1.6
## 4604            no male asymptomatic        120        281  153.5     1.6
## 4605            no male asymptomatic        120        281  153.5     1.6
## 4606            no male asymptomatic        120        281  153.5     1.6
## 4607            no male asymptomatic        120        281  153.5     1.6
## 4608            no male asymptomatic        120        281  153.5     1.6
## 4609            no male asymptomatic        120        281  153.5     1.6
## 4610            no male asymptomatic        120        281  153.5     1.6
## 4611            no male asymptomatic        120        281  153.5     1.6
## 4612            no male asymptomatic        120        281  153.5     1.6
## 4613            no male asymptomatic        120        281  153.5     1.6
## 4614            no male asymptomatic        120        281  153.5     1.6
## 4615            no male asymptomatic        120        281  153.5     1.6
## 4616            no male asymptomatic        120        281  153.5     1.6
## 4617            no male asymptomatic        120        281  153.5     1.6
## 4618            no male asymptomatic        120        281  153.5     6.2
## 4619            no male asymptomatic        120        281  153.5     6.2
## 4620            no male asymptomatic        120        281  153.5     6.2
## 4621            no male asymptomatic        120        281  153.5     6.2
## 4622            no male asymptomatic        120        281  153.5     6.2
## 4623            no male asymptomatic        120        281  153.5     6.2
## 4624            no male asymptomatic        120        281  153.5     6.2
## 4625            no male asymptomatic        120        281  153.5     6.2
## 4626            no male asymptomatic        120        281  153.5     6.2
## 4627            no male asymptomatic        120        281  153.5     6.2
## 4628            no male asymptomatic        120        281  153.5     6.2
## 4629            no male asymptomatic        120        281  153.5     6.2
## 4630            no male asymptomatic        120        281  153.5     6.2
## 4631            no male asymptomatic        120        281  153.5     6.2
## 4632            no male asymptomatic        120        281  153.5     6.2
## 4633            no male asymptomatic        120        281  153.5     6.2
## 4634            no male asymptomatic        120        281  153.5     6.2
## 4635            no male asymptomatic        120        281  153.5     6.2
## 4636            no male asymptomatic        120        281  153.5     6.2
## 4637            no male asymptomatic        120        281  153.5     6.2
## 4638            no male asymptomatic        120        281  153.5     6.2
## 4639            no male asymptomatic        120        281  153.5     6.2
## 4640            no male asymptomatic        120        281  153.5     6.2
## 4641            no male asymptomatic        120        281  153.5     6.2
## 4642            no male asymptomatic        120        281  153.5     6.2
## 4643            no male asymptomatic        120        281  153.5     6.2
## 4644            no male asymptomatic        120        281  153.5     6.2
## 4645            no male asymptomatic        120        281  166.0     0.0
## 4646            no male asymptomatic        120        281  166.0     0.0
## 4647            no male asymptomatic        120        281  166.0     0.0
## 4648            no male asymptomatic        120        281  166.0     0.0
## 4649            no male asymptomatic        120        281  166.0     0.0
## 4650            no male asymptomatic        120        281  166.0     0.0
## 4651            no male asymptomatic        120        281  166.0     0.0
## 4652            no male asymptomatic        120        281  166.0     0.0
## 4653            no male asymptomatic        120        281  166.0     0.0
## 4654            no male asymptomatic        120        281  166.0     0.0
## 4655            no male asymptomatic        120        281  166.0     0.0
## 4656            no male asymptomatic        120        281  166.0     0.0
## 4657            no male asymptomatic        120        281  166.0     0.0
## 4658            no male asymptomatic        120        281  166.0     0.0
## 4659            no male asymptomatic        120        281  166.0     0.0
## 4660            no male asymptomatic        120        281  166.0     0.0
## 4661            no male asymptomatic        120        281  166.0     0.0
## 4662            no male asymptomatic        120        281  166.0     0.0
## 4663            no male asymptomatic        120        281  166.0     0.0
## 4664            no male asymptomatic        120        281  166.0     0.0
## 4665            no male asymptomatic        120        281  166.0     0.0
## 4666            no male asymptomatic        120        281  166.0     0.0
## 4667            no male asymptomatic        120        281  166.0     0.0
## 4668            no male asymptomatic        120        281  166.0     0.0
## 4669            no male asymptomatic        120        281  166.0     0.0
## 4670            no male asymptomatic        120        281  166.0     0.0
## 4671            no male asymptomatic        120        281  166.0     0.0
## 4672            no male asymptomatic        120        281  166.0     0.8
## 4673            no male asymptomatic        120        281  166.0     0.8
## 4674            no male asymptomatic        120        281  166.0     0.8
## 4675            no male asymptomatic        120        281  166.0     0.8
## 4676            no male asymptomatic        120        281  166.0     0.8
## 4677            no male asymptomatic        120        281  166.0     0.8
## 4678            no male asymptomatic        120        281  166.0     0.8
## 4679            no male asymptomatic        120        281  166.0     0.8
## 4680            no male asymptomatic        120        281  166.0     0.8
## 4681            no male asymptomatic        120        281  166.0     0.8
## 4682            no male asymptomatic        120        281  166.0     0.8
## 4683            no male asymptomatic        120        281  166.0     0.8
## 4684            no male asymptomatic        120        281  166.0     0.8
## 4685            no male asymptomatic        120        281  166.0     0.8
## 4686            no male asymptomatic        120        281  166.0     0.8
## 4687            no male asymptomatic        120        281  166.0     0.8
## 4688            no male asymptomatic        120        281  166.0     0.8
## 4689            no male asymptomatic        120        281  166.0     0.8
## 4690            no male asymptomatic        120        281  166.0     0.8
## 4691            no male asymptomatic        120        281  166.0     0.8
## 4692            no male asymptomatic        120        281  166.0     0.8
## 4693            no male asymptomatic        120        281  166.0     0.8
## 4694            no male asymptomatic        120        281  166.0     0.8
## 4695            no male asymptomatic        120        281  166.0     0.8
## 4696            no male asymptomatic        120        281  166.0     0.8
## 4697            no male asymptomatic        120        281  166.0     0.8
## 4698            no male asymptomatic        120        281  166.0     0.8
## 4699            no male asymptomatic        120        281  166.0     1.6
## 4700            no male asymptomatic        120        281  166.0     1.6
## 4701            no male asymptomatic        120        281  166.0     1.6
## 4702            no male asymptomatic        120        281  166.0     1.6
## 4703            no male asymptomatic        120        281  166.0     1.6
## 4704            no male asymptomatic        120        281  166.0     1.6
## 4705            no male asymptomatic        120        281  166.0     1.6
## 4706            no male asymptomatic        120        281  166.0     1.6
## 4707            no male asymptomatic        120        281  166.0     1.6
## 4708            no male asymptomatic        120        281  166.0     1.6
## 4709            no male asymptomatic        120        281  166.0     1.6
## 4710            no male asymptomatic        120        281  166.0     1.6
## 4711            no male asymptomatic        120        281  166.0     1.6
## 4712            no male asymptomatic        120        281  166.0     1.6
## 4713            no male asymptomatic        120        281  166.0     1.6
## 4714            no male asymptomatic        120        281  166.0     1.6
## 4715            no male asymptomatic        120        281  166.0     1.6
## 4716            no male asymptomatic        120        281  166.0     1.6
## 4717            no male asymptomatic        120        281  166.0     1.6
## 4718            no male asymptomatic        120        281  166.0     1.6
## 4719            no male asymptomatic        120        281  166.0     1.6
## 4720            no male asymptomatic        120        281  166.0     1.6
## 4721            no male asymptomatic        120        281  166.0     1.6
## 4722            no male asymptomatic        120        281  166.0     1.6
## 4723            no male asymptomatic        120        281  166.0     1.6
## 4724            no male asymptomatic        120        281  166.0     1.6
## 4725            no male asymptomatic        120        281  166.0     1.6
## 4726            no male asymptomatic        120        281  166.0     6.2
## 4727            no male asymptomatic        120        281  166.0     6.2
## 4728            no male asymptomatic        120        281  166.0     6.2
## 4729            no male asymptomatic        120        281  166.0     6.2
## 4730            no male asymptomatic        120        281  166.0     6.2
## 4731            no male asymptomatic        120        281  166.0     6.2
## 4732            no male asymptomatic        120        281  166.0     6.2
## 4733            no male asymptomatic        120        281  166.0     6.2
## 4734            no male asymptomatic        120        281  166.0     6.2
## 4735            no male asymptomatic        120        281  166.0     6.2
## 4736            no male asymptomatic        120        281  166.0     6.2
## 4737            no male asymptomatic        120        281  166.0     6.2
## 4738            no male asymptomatic        120        281  166.0     6.2
## 4739            no male asymptomatic        120        281  166.0     6.2
## 4740            no male asymptomatic        120        281  166.0     6.2
## 4741            no male asymptomatic        120        281  166.0     6.2
## 4742            no male asymptomatic        120        281  166.0     6.2
## 4743            no male asymptomatic        120        281  166.0     6.2
## 4744            no male asymptomatic        120        281  166.0     6.2
## 4745            no male asymptomatic        120        281  166.0     6.2
## 4746            no male asymptomatic        120        281  166.0     6.2
## 4747            no male asymptomatic        120        281  166.0     6.2
## 4748            no male asymptomatic        120        281  166.0     6.2
## 4749            no male asymptomatic        120        281  166.0     6.2
## 4750            no male asymptomatic        120        281  166.0     6.2
## 4751            no male asymptomatic        120        281  166.0     6.2
## 4752            no male asymptomatic        120        281  166.0     6.2
## 4753            no male asymptomatic        120        281  202.0     0.0
## 4754            no male asymptomatic        120        281  202.0     0.0
## 4755            no male asymptomatic        120        281  202.0     0.0
## 4756            no male asymptomatic        120        281  202.0     0.0
## 4757            no male asymptomatic        120        281  202.0     0.0
## 4758            no male asymptomatic        120        281  202.0     0.0
## 4759            no male asymptomatic        120        281  202.0     0.0
## 4760            no male asymptomatic        120        281  202.0     0.0
## 4761            no male asymptomatic        120        281  202.0     0.0
## 4762            no male asymptomatic        120        281  202.0     0.0
## 4763            no male asymptomatic        120        281  202.0     0.0
## 4764            no male asymptomatic        120        281  202.0     0.0
## 4765            no male asymptomatic        120        281  202.0     0.0
## 4766            no male asymptomatic        120        281  202.0     0.0
## 4767            no male asymptomatic        120        281  202.0     0.0
## 4768            no male asymptomatic        120        281  202.0     0.0
## 4769            no male asymptomatic        120        281  202.0     0.0
## 4770            no male asymptomatic        120        281  202.0     0.0
## 4771            no male asymptomatic        120        281  202.0     0.0
## 4772            no male asymptomatic        120        281  202.0     0.0
## 4773            no male asymptomatic        120        281  202.0     0.0
## 4774            no male asymptomatic        120        281  202.0     0.0
## 4775            no male asymptomatic        120        281  202.0     0.0
## 4776            no male asymptomatic        120        281  202.0     0.0
## 4777            no male asymptomatic        120        281  202.0     0.0
## 4778            no male asymptomatic        120        281  202.0     0.0
## 4779            no male asymptomatic        120        281  202.0     0.0
## 4780            no male asymptomatic        120        281  202.0     0.8
## 4781            no male asymptomatic        120        281  202.0     0.8
## 4782            no male asymptomatic        120        281  202.0     0.8
## 4783            no male asymptomatic        120        281  202.0     0.8
## 4784            no male asymptomatic        120        281  202.0     0.8
## 4785            no male asymptomatic        120        281  202.0     0.8
## 4786            no male asymptomatic        120        281  202.0     0.8
## 4787            no male asymptomatic        120        281  202.0     0.8
## 4788            no male asymptomatic        120        281  202.0     0.8
## 4789            no male asymptomatic        120        281  202.0     0.8
## 4790            no male asymptomatic        120        281  202.0     0.8
## 4791            no male asymptomatic        120        281  202.0     0.8
## 4792            no male asymptomatic        120        281  202.0     0.8
## 4793            no male asymptomatic        120        281  202.0     0.8
## 4794            no male asymptomatic        120        281  202.0     0.8
## 4795            no male asymptomatic        120        281  202.0     0.8
## 4796            no male asymptomatic        120        281  202.0     0.8
## 4797            no male asymptomatic        120        281  202.0     0.8
## 4798            no male asymptomatic        120        281  202.0     0.8
## 4799            no male asymptomatic        120        281  202.0     0.8
## 4800            no male asymptomatic        120        281  202.0     0.8
## 4801            no male asymptomatic        120        281  202.0     0.8
## 4802            no male asymptomatic        120        281  202.0     0.8
## 4803            no male asymptomatic        120        281  202.0     0.8
## 4804            no male asymptomatic        120        281  202.0     0.8
## 4805            no male asymptomatic        120        281  202.0     0.8
## 4806            no male asymptomatic        120        281  202.0     0.8
## 4807            no male asymptomatic        120        281  202.0     1.6
## 4808            no male asymptomatic        120        281  202.0     1.6
## 4809            no male asymptomatic        120        281  202.0     1.6
## 4810            no male asymptomatic        120        281  202.0     1.6
## 4811            no male asymptomatic        120        281  202.0     1.6
## 4812            no male asymptomatic        120        281  202.0     1.6
## 4813            no male asymptomatic        120        281  202.0     1.6
## 4814            no male asymptomatic        120        281  202.0     1.6
## 4815            no male asymptomatic        120        281  202.0     1.6
## 4816            no male asymptomatic        120        281  202.0     1.6
## 4817            no male asymptomatic        120        281  202.0     1.6
## 4818            no male asymptomatic        120        281  202.0     1.6
## 4819            no male asymptomatic        120        281  202.0     1.6
## 4820            no male asymptomatic        120        281  202.0     1.6
## 4821            no male asymptomatic        120        281  202.0     1.6
## 4822            no male asymptomatic        120        281  202.0     1.6
## 4823            no male asymptomatic        120        281  202.0     1.6
## 4824            no male asymptomatic        120        281  202.0     1.6
## 4825            no male asymptomatic        120        281  202.0     1.6
## 4826            no male asymptomatic        120        281  202.0     1.6
## 4827            no male asymptomatic        120        281  202.0     1.6
## 4828            no male asymptomatic        120        281  202.0     1.6
## 4829            no male asymptomatic        120        281  202.0     1.6
## 4830            no male asymptomatic        120        281  202.0     1.6
## 4831            no male asymptomatic        120        281  202.0     1.6
## 4832            no male asymptomatic        120        281  202.0     1.6
## 4833            no male asymptomatic        120        281  202.0     1.6
## 4834            no male asymptomatic        120        281  202.0     6.2
## 4835            no male asymptomatic        120        281  202.0     6.2
## 4836            no male asymptomatic        120        281  202.0     6.2
## 4837            no male asymptomatic        120        281  202.0     6.2
## 4838            no male asymptomatic        120        281  202.0     6.2
## 4839            no male asymptomatic        120        281  202.0     6.2
## 4840            no male asymptomatic        120        281  202.0     6.2
## 4841            no male asymptomatic        120        281  202.0     6.2
## 4842            no male asymptomatic        120        281  202.0     6.2
## 4843            no male asymptomatic        120        281  202.0     6.2
## 4844            no male asymptomatic        120        281  202.0     6.2
## 4845            no male asymptomatic        120        281  202.0     6.2
## 4846            no male asymptomatic        120        281  202.0     6.2
## 4847            no male asymptomatic        120        281  202.0     6.2
## 4848            no male asymptomatic        120        281  202.0     6.2
## 4849            no male asymptomatic        120        281  202.0     6.2
## 4850            no male asymptomatic        120        281  202.0     6.2
## 4851            no male asymptomatic        120        281  202.0     6.2
## 4852            no male asymptomatic        120        281  202.0     6.2
## 4853            no male asymptomatic        120        281  202.0     6.2
## 4854            no male asymptomatic        120        281  202.0     6.2
## 4855            no male asymptomatic        120        281  202.0     6.2
## 4856            no male asymptomatic        120        281  202.0     6.2
## 4857            no male asymptomatic        120        281  202.0     6.2
## 4858            no male asymptomatic        120        281  202.0     6.2
## 4859            no male asymptomatic        120        281  202.0     6.2
## 4860            no male asymptomatic        120        281  202.0     6.2
## 4861            no male asymptomatic        120        564   71.0     0.0
## 4862            no male asymptomatic        120        564   71.0     0.0
## 4863            no male asymptomatic        120        564   71.0     0.0
## 4864            no male asymptomatic        120        564   71.0     0.0
## 4865            no male asymptomatic        120        564   71.0     0.0
## 4866            no male asymptomatic        120        564   71.0     0.0
## 4867            no male asymptomatic        120        564   71.0     0.0
## 4868            no male asymptomatic        120        564   71.0     0.0
## 4869            no male asymptomatic        120        564   71.0     0.0
## 4870            no male asymptomatic        120        564   71.0     0.0
## 4871            no male asymptomatic        120        564   71.0     0.0
## 4872            no male asymptomatic        120        564   71.0     0.0
## 4873            no male asymptomatic        120        564   71.0     0.0
## 4874            no male asymptomatic        120        564   71.0     0.0
## 4875            no male asymptomatic        120        564   71.0     0.0
## 4876            no male asymptomatic        120        564   71.0     0.0
## 4877            no male asymptomatic        120        564   71.0     0.0
## 4878            no male asymptomatic        120        564   71.0     0.0
## 4879            no male asymptomatic        120        564   71.0     0.0
## 4880            no male asymptomatic        120        564   71.0     0.0
## 4881            no male asymptomatic        120        564   71.0     0.0
## 4882            no male asymptomatic        120        564   71.0     0.0
## 4883            no male asymptomatic        120        564   71.0     0.0
## 4884            no male asymptomatic        120        564   71.0     0.0
## 4885            no male asymptomatic        120        564   71.0     0.0
## 4886            no male asymptomatic        120        564   71.0     0.0
## 4887            no male asymptomatic        120        564   71.0     0.0
## 4888            no male asymptomatic        120        564   71.0     0.8
## 4889            no male asymptomatic        120        564   71.0     0.8
## 4890            no male asymptomatic        120        564   71.0     0.8
## 4891            no male asymptomatic        120        564   71.0     0.8
## 4892            no male asymptomatic        120        564   71.0     0.8
## 4893            no male asymptomatic        120        564   71.0     0.8
## 4894            no male asymptomatic        120        564   71.0     0.8
## 4895            no male asymptomatic        120        564   71.0     0.8
## 4896            no male asymptomatic        120        564   71.0     0.8
## 4897            no male asymptomatic        120        564   71.0     0.8
## 4898            no male asymptomatic        120        564   71.0     0.8
## 4899            no male asymptomatic        120        564   71.0     0.8
## 4900            no male asymptomatic        120        564   71.0     0.8
## 4901            no male asymptomatic        120        564   71.0     0.8
## 4902            no male asymptomatic        120        564   71.0     0.8
## 4903            no male asymptomatic        120        564   71.0     0.8
## 4904            no male asymptomatic        120        564   71.0     0.8
## 4905            no male asymptomatic        120        564   71.0     0.8
## 4906            no male asymptomatic        120        564   71.0     0.8
## 4907            no male asymptomatic        120        564   71.0     0.8
## 4908            no male asymptomatic        120        564   71.0     0.8
## 4909            no male asymptomatic        120        564   71.0     0.8
## 4910            no male asymptomatic        120        564   71.0     0.8
## 4911            no male asymptomatic        120        564   71.0     0.8
## 4912            no male asymptomatic        120        564   71.0     0.8
## 4913            no male asymptomatic        120        564   71.0     0.8
## 4914            no male asymptomatic        120        564   71.0     0.8
## 4915            no male asymptomatic        120        564   71.0     1.6
## 4916            no male asymptomatic        120        564   71.0     1.6
## 4917            no male asymptomatic        120        564   71.0     1.6
## 4918            no male asymptomatic        120        564   71.0     1.6
## 4919            no male asymptomatic        120        564   71.0     1.6
## 4920            no male asymptomatic        120        564   71.0     1.6
## 4921            no male asymptomatic        120        564   71.0     1.6
## 4922            no male asymptomatic        120        564   71.0     1.6
## 4923            no male asymptomatic        120        564   71.0     1.6
## 4924            no male asymptomatic        120        564   71.0     1.6
## 4925            no male asymptomatic        120        564   71.0     1.6
## 4926            no male asymptomatic        120        564   71.0     1.6
## 4927            no male asymptomatic        120        564   71.0     1.6
## 4928            no male asymptomatic        120        564   71.0     1.6
## 4929            no male asymptomatic        120        564   71.0     1.6
## 4930            no male asymptomatic        120        564   71.0     1.6
## 4931            no male asymptomatic        120        564   71.0     1.6
## 4932            no male asymptomatic        120        564   71.0     1.6
## 4933            no male asymptomatic        120        564   71.0     1.6
## 4934            no male asymptomatic        120        564   71.0     1.6
## 4935            no male asymptomatic        120        564   71.0     1.6
## 4936            no male asymptomatic        120        564   71.0     1.6
## 4937            no male asymptomatic        120        564   71.0     1.6
## 4938            no male asymptomatic        120        564   71.0     1.6
## 4939            no male asymptomatic        120        564   71.0     1.6
## 4940            no male asymptomatic        120        564   71.0     1.6
## 4941            no male asymptomatic        120        564   71.0     1.6
## 4942            no male asymptomatic        120        564   71.0     6.2
## 4943            no male asymptomatic        120        564   71.0     6.2
## 4944            no male asymptomatic        120        564   71.0     6.2
## 4945            no male asymptomatic        120        564   71.0     6.2
## 4946            no male asymptomatic        120        564   71.0     6.2
## 4947            no male asymptomatic        120        564   71.0     6.2
## 4948            no male asymptomatic        120        564   71.0     6.2
## 4949            no male asymptomatic        120        564   71.0     6.2
## 4950            no male asymptomatic        120        564   71.0     6.2
## 4951            no male asymptomatic        120        564   71.0     6.2
## 4952            no male asymptomatic        120        564   71.0     6.2
## 4953            no male asymptomatic        120        564   71.0     6.2
## 4954            no male asymptomatic        120        564   71.0     6.2
## 4955            no male asymptomatic        120        564   71.0     6.2
## 4956            no male asymptomatic        120        564   71.0     6.2
## 4957            no male asymptomatic        120        564   71.0     6.2
## 4958            no male asymptomatic        120        564   71.0     6.2
## 4959            no male asymptomatic        120        564   71.0     6.2
## 4960            no male asymptomatic        120        564   71.0     6.2
## 4961            no male asymptomatic        120        564   71.0     6.2
## 4962            no male asymptomatic        120        564   71.0     6.2
## 4963            no male asymptomatic        120        564   71.0     6.2
## 4964            no male asymptomatic        120        564   71.0     6.2
## 4965            no male asymptomatic        120        564   71.0     6.2
## 4966            no male asymptomatic        120        564   71.0     6.2
## 4967            no male asymptomatic        120        564   71.0     6.2
## 4968            no male asymptomatic        120        564   71.0     6.2
## 4969            no male asymptomatic        120        564  133.0     0.0
## 4970            no male asymptomatic        120        564  133.0     0.0
## 4971            no male asymptomatic        120        564  133.0     0.0
## 4972            no male asymptomatic        120        564  133.0     0.0
## 4973            no male asymptomatic        120        564  133.0     0.0
## 4974            no male asymptomatic        120        564  133.0     0.0
## 4975            no male asymptomatic        120        564  133.0     0.0
## 4976            no male asymptomatic        120        564  133.0     0.0
## 4977            no male asymptomatic        120        564  133.0     0.0
## 4978            no male asymptomatic        120        564  133.0     0.0
## 4979            no male asymptomatic        120        564  133.0     0.0
## 4980            no male asymptomatic        120        564  133.0     0.0
## 4981            no male asymptomatic        120        564  133.0     0.0
## 4982            no male asymptomatic        120        564  133.0     0.0
## 4983            no male asymptomatic        120        564  133.0     0.0
## 4984            no male asymptomatic        120        564  133.0     0.0
## 4985            no male asymptomatic        120        564  133.0     0.0
## 4986            no male asymptomatic        120        564  133.0     0.0
## 4987            no male asymptomatic        120        564  133.0     0.0
## 4988            no male asymptomatic        120        564  133.0     0.0
## 4989            no male asymptomatic        120        564  133.0     0.0
## 4990            no male asymptomatic        120        564  133.0     0.0
## 4991            no male asymptomatic        120        564  133.0     0.0
## 4992            no male asymptomatic        120        564  133.0     0.0
## 4993            no male asymptomatic        120        564  133.0     0.0
## 4994            no male asymptomatic        120        564  133.0     0.0
## 4995            no male asymptomatic        120        564  133.0     0.0
## 4996            no male asymptomatic        120        564  133.0     0.8
## 4997            no male asymptomatic        120        564  133.0     0.8
## 4998            no male asymptomatic        120        564  133.0     0.8
## 4999            no male asymptomatic        120        564  133.0     0.8
## 5000            no male asymptomatic        120        564  133.0     0.8
## 5001            no male asymptomatic        120        564  133.0     0.8
## 5002            no male asymptomatic        120        564  133.0     0.8
## 5003            no male asymptomatic        120        564  133.0     0.8
## 5004            no male asymptomatic        120        564  133.0     0.8
## 5005            no male asymptomatic        120        564  133.0     0.8
## 5006            no male asymptomatic        120        564  133.0     0.8
## 5007            no male asymptomatic        120        564  133.0     0.8
## 5008            no male asymptomatic        120        564  133.0     0.8
## 5009            no male asymptomatic        120        564  133.0     0.8
## 5010            no male asymptomatic        120        564  133.0     0.8
## 5011            no male asymptomatic        120        564  133.0     0.8
## 5012            no male asymptomatic        120        564  133.0     0.8
## 5013            no male asymptomatic        120        564  133.0     0.8
## 5014            no male asymptomatic        120        564  133.0     0.8
## 5015            no male asymptomatic        120        564  133.0     0.8
## 5016            no male asymptomatic        120        564  133.0     0.8
## 5017            no male asymptomatic        120        564  133.0     0.8
## 5018            no male asymptomatic        120        564  133.0     0.8
## 5019            no male asymptomatic        120        564  133.0     0.8
## 5020            no male asymptomatic        120        564  133.0     0.8
## 5021            no male asymptomatic        120        564  133.0     0.8
## 5022            no male asymptomatic        120        564  133.0     0.8
## 5023            no male asymptomatic        120        564  133.0     1.6
## 5024            no male asymptomatic        120        564  133.0     1.6
## 5025            no male asymptomatic        120        564  133.0     1.6
## 5026            no male asymptomatic        120        564  133.0     1.6
## 5027            no male asymptomatic        120        564  133.0     1.6
## 5028            no male asymptomatic        120        564  133.0     1.6
## 5029            no male asymptomatic        120        564  133.0     1.6
## 5030            no male asymptomatic        120        564  133.0     1.6
## 5031            no male asymptomatic        120        564  133.0     1.6
## 5032            no male asymptomatic        120        564  133.0     1.6
## 5033            no male asymptomatic        120        564  133.0     1.6
## 5034            no male asymptomatic        120        564  133.0     1.6
## 5035            no male asymptomatic        120        564  133.0     1.6
## 5036            no male asymptomatic        120        564  133.0     1.6
## 5037            no male asymptomatic        120        564  133.0     1.6
## 5038            no male asymptomatic        120        564  133.0     1.6
## 5039            no male asymptomatic        120        564  133.0     1.6
## 5040            no male asymptomatic        120        564  133.0     1.6
## 5041            no male asymptomatic        120        564  133.0     1.6
## 5042            no male asymptomatic        120        564  133.0     1.6
## 5043            no male asymptomatic        120        564  133.0     1.6
## 5044            no male asymptomatic        120        564  133.0     1.6
## 5045            no male asymptomatic        120        564  133.0     1.6
## 5046            no male asymptomatic        120        564  133.0     1.6
## 5047            no male asymptomatic        120        564  133.0     1.6
## 5048            no male asymptomatic        120        564  133.0     1.6
## 5049            no male asymptomatic        120        564  133.0     1.6
## 5050            no male asymptomatic        120        564  133.0     6.2
## 5051            no male asymptomatic        120        564  133.0     6.2
## 5052            no male asymptomatic        120        564  133.0     6.2
## 5053            no male asymptomatic        120        564  133.0     6.2
## 5054            no male asymptomatic        120        564  133.0     6.2
## 5055            no male asymptomatic        120        564  133.0     6.2
## 5056            no male asymptomatic        120        564  133.0     6.2
## 5057            no male asymptomatic        120        564  133.0     6.2
## 5058            no male asymptomatic        120        564  133.0     6.2
## 5059            no male asymptomatic        120        564  133.0     6.2
## 5060            no male asymptomatic        120        564  133.0     6.2
## 5061            no male asymptomatic        120        564  133.0     6.2
## 5062            no male asymptomatic        120        564  133.0     6.2
## 5063            no male asymptomatic        120        564  133.0     6.2
## 5064            no male asymptomatic        120        564  133.0     6.2
## 5065            no male asymptomatic        120        564  133.0     6.2
## 5066            no male asymptomatic        120        564  133.0     6.2
## 5067            no male asymptomatic        120        564  133.0     6.2
## 5068            no male asymptomatic        120        564  133.0     6.2
## 5069            no male asymptomatic        120        564  133.0     6.2
## 5070            no male asymptomatic        120        564  133.0     6.2
## 5071            no male asymptomatic        120        564  133.0     6.2
## 5072            no male asymptomatic        120        564  133.0     6.2
## 5073            no male asymptomatic        120        564  133.0     6.2
## 5074            no male asymptomatic        120        564  133.0     6.2
## 5075            no male asymptomatic        120        564  133.0     6.2
## 5076            no male asymptomatic        120        564  133.0     6.2
## 5077            no male asymptomatic        120        564  153.5     0.0
## 5078            no male asymptomatic        120        564  153.5     0.0
## 5079            no male asymptomatic        120        564  153.5     0.0
## 5080            no male asymptomatic        120        564  153.5     0.0
## 5081            no male asymptomatic        120        564  153.5     0.0
## 5082            no male asymptomatic        120        564  153.5     0.0
## 5083            no male asymptomatic        120        564  153.5     0.0
## 5084            no male asymptomatic        120        564  153.5     0.0
## 5085            no male asymptomatic        120        564  153.5     0.0
## 5086            no male asymptomatic        120        564  153.5     0.0
## 5087            no male asymptomatic        120        564  153.5     0.0
## 5088            no male asymptomatic        120        564  153.5     0.0
## 5089            no male asymptomatic        120        564  153.5     0.0
## 5090            no male asymptomatic        120        564  153.5     0.0
## 5091            no male asymptomatic        120        564  153.5     0.0
## 5092            no male asymptomatic        120        564  153.5     0.0
## 5093            no male asymptomatic        120        564  153.5     0.0
## 5094            no male asymptomatic        120        564  153.5     0.0
## 5095            no male asymptomatic        120        564  153.5     0.0
## 5096            no male asymptomatic        120        564  153.5     0.0
## 5097            no male asymptomatic        120        564  153.5     0.0
## 5098            no male asymptomatic        120        564  153.5     0.0
## 5099            no male asymptomatic        120        564  153.5     0.0
## 5100            no male asymptomatic        120        564  153.5     0.0
## 5101            no male asymptomatic        120        564  153.5     0.0
## 5102            no male asymptomatic        120        564  153.5     0.0
## 5103            no male asymptomatic        120        564  153.5     0.0
## 5104            no male asymptomatic        120        564  153.5     0.8
## 5105            no male asymptomatic        120        564  153.5     0.8
## 5106            no male asymptomatic        120        564  153.5     0.8
## 5107            no male asymptomatic        120        564  153.5     0.8
## 5108            no male asymptomatic        120        564  153.5     0.8
## 5109            no male asymptomatic        120        564  153.5     0.8
## 5110            no male asymptomatic        120        564  153.5     0.8
## 5111            no male asymptomatic        120        564  153.5     0.8
## 5112            no male asymptomatic        120        564  153.5     0.8
## 5113            no male asymptomatic        120        564  153.5     0.8
## 5114            no male asymptomatic        120        564  153.5     0.8
## 5115            no male asymptomatic        120        564  153.5     0.8
## 5116            no male asymptomatic        120        564  153.5     0.8
## 5117            no male asymptomatic        120        564  153.5     0.8
## 5118            no male asymptomatic        120        564  153.5     0.8
## 5119            no male asymptomatic        120        564  153.5     0.8
## 5120            no male asymptomatic        120        564  153.5     0.8
## 5121            no male asymptomatic        120        564  153.5     0.8
## 5122            no male asymptomatic        120        564  153.5     0.8
## 5123            no male asymptomatic        120        564  153.5     0.8
## 5124            no male asymptomatic        120        564  153.5     0.8
## 5125            no male asymptomatic        120        564  153.5     0.8
## 5126            no male asymptomatic        120        564  153.5     0.8
## 5127            no male asymptomatic        120        564  153.5     0.8
## 5128            no male asymptomatic        120        564  153.5     0.8
## 5129            no male asymptomatic        120        564  153.5     0.8
## 5130            no male asymptomatic        120        564  153.5     0.8
## 5131            no male asymptomatic        120        564  153.5     1.6
## 5132            no male asymptomatic        120        564  153.5     1.6
## 5133            no male asymptomatic        120        564  153.5     1.6
## 5134            no male asymptomatic        120        564  153.5     1.6
## 5135            no male asymptomatic        120        564  153.5     1.6
## 5136            no male asymptomatic        120        564  153.5     1.6
## 5137            no male asymptomatic        120        564  153.5     1.6
## 5138            no male asymptomatic        120        564  153.5     1.6
## 5139            no male asymptomatic        120        564  153.5     1.6
## 5140            no male asymptomatic        120        564  153.5     1.6
## 5141            no male asymptomatic        120        564  153.5     1.6
## 5142            no male asymptomatic        120        564  153.5     1.6
## 5143            no male asymptomatic        120        564  153.5     1.6
## 5144            no male asymptomatic        120        564  153.5     1.6
## 5145            no male asymptomatic        120        564  153.5     1.6
## 5146            no male asymptomatic        120        564  153.5     1.6
## 5147            no male asymptomatic        120        564  153.5     1.6
## 5148            no male asymptomatic        120        564  153.5     1.6
## 5149            no male asymptomatic        120        564  153.5     1.6
## 5150            no male asymptomatic        120        564  153.5     1.6
## 5151            no male asymptomatic        120        564  153.5     1.6
## 5152            no male asymptomatic        120        564  153.5     1.6
## 5153            no male asymptomatic        120        564  153.5     1.6
## 5154            no male asymptomatic        120        564  153.5     1.6
## 5155            no male asymptomatic        120        564  153.5     1.6
## 5156            no male asymptomatic        120        564  153.5     1.6
## 5157            no male asymptomatic        120        564  153.5     1.6
## 5158            no male asymptomatic        120        564  153.5     6.2
## 5159            no male asymptomatic        120        564  153.5     6.2
## 5160            no male asymptomatic        120        564  153.5     6.2
## 5161            no male asymptomatic        120        564  153.5     6.2
## 5162            no male asymptomatic        120        564  153.5     6.2
## 5163            no male asymptomatic        120        564  153.5     6.2
## 5164            no male asymptomatic        120        564  153.5     6.2
## 5165            no male asymptomatic        120        564  153.5     6.2
## 5166            no male asymptomatic        120        564  153.5     6.2
## 5167            no male asymptomatic        120        564  153.5     6.2
## 5168            no male asymptomatic        120        564  153.5     6.2
## 5169            no male asymptomatic        120        564  153.5     6.2
## 5170            no male asymptomatic        120        564  153.5     6.2
## 5171            no male asymptomatic        120        564  153.5     6.2
## 5172            no male asymptomatic        120        564  153.5     6.2
## 5173            no male asymptomatic        120        564  153.5     6.2
## 5174            no male asymptomatic        120        564  153.5     6.2
## 5175            no male asymptomatic        120        564  153.5     6.2
## 5176            no male asymptomatic        120        564  153.5     6.2
## 5177            no male asymptomatic        120        564  153.5     6.2
## 5178            no male asymptomatic        120        564  153.5     6.2
## 5179            no male asymptomatic        120        564  153.5     6.2
## 5180            no male asymptomatic        120        564  153.5     6.2
## 5181            no male asymptomatic        120        564  153.5     6.2
## 5182            no male asymptomatic        120        564  153.5     6.2
## 5183            no male asymptomatic        120        564  153.5     6.2
## 5184            no male asymptomatic        120        564  153.5     6.2
## 5185            no male asymptomatic        120        564  166.0     0.0
## 5186            no male asymptomatic        120        564  166.0     0.0
## 5187            no male asymptomatic        120        564  166.0     0.0
## 5188            no male asymptomatic        120        564  166.0     0.0
## 5189            no male asymptomatic        120        564  166.0     0.0
## 5190            no male asymptomatic        120        564  166.0     0.0
## 5191            no male asymptomatic        120        564  166.0     0.0
## 5192            no male asymptomatic        120        564  166.0     0.0
## 5193            no male asymptomatic        120        564  166.0     0.0
## 5194            no male asymptomatic        120        564  166.0     0.0
## 5195            no male asymptomatic        120        564  166.0     0.0
## 5196            no male asymptomatic        120        564  166.0     0.0
## 5197            no male asymptomatic        120        564  166.0     0.0
## 5198            no male asymptomatic        120        564  166.0     0.0
## 5199            no male asymptomatic        120        564  166.0     0.0
## 5200            no male asymptomatic        120        564  166.0     0.0
## 5201            no male asymptomatic        120        564  166.0     0.0
## 5202            no male asymptomatic        120        564  166.0     0.0
## 5203            no male asymptomatic        120        564  166.0     0.0
## 5204            no male asymptomatic        120        564  166.0     0.0
## 5205            no male asymptomatic        120        564  166.0     0.0
## 5206            no male asymptomatic        120        564  166.0     0.0
## 5207            no male asymptomatic        120        564  166.0     0.0
## 5208            no male asymptomatic        120        564  166.0     0.0
## 5209            no male asymptomatic        120        564  166.0     0.0
## 5210            no male asymptomatic        120        564  166.0     0.0
## 5211            no male asymptomatic        120        564  166.0     0.0
## 5212            no male asymptomatic        120        564  166.0     0.8
## 5213            no male asymptomatic        120        564  166.0     0.8
## 5214            no male asymptomatic        120        564  166.0     0.8
## 5215            no male asymptomatic        120        564  166.0     0.8
## 5216            no male asymptomatic        120        564  166.0     0.8
## 5217            no male asymptomatic        120        564  166.0     0.8
## 5218            no male asymptomatic        120        564  166.0     0.8
## 5219            no male asymptomatic        120        564  166.0     0.8
## 5220            no male asymptomatic        120        564  166.0     0.8
## 5221            no male asymptomatic        120        564  166.0     0.8
## 5222            no male asymptomatic        120        564  166.0     0.8
## 5223            no male asymptomatic        120        564  166.0     0.8
## 5224            no male asymptomatic        120        564  166.0     0.8
## 5225            no male asymptomatic        120        564  166.0     0.8
## 5226            no male asymptomatic        120        564  166.0     0.8
## 5227            no male asymptomatic        120        564  166.0     0.8
## 5228            no male asymptomatic        120        564  166.0     0.8
## 5229            no male asymptomatic        120        564  166.0     0.8
## 5230            no male asymptomatic        120        564  166.0     0.8
## 5231            no male asymptomatic        120        564  166.0     0.8
## 5232            no male asymptomatic        120        564  166.0     0.8
## 5233            no male asymptomatic        120        564  166.0     0.8
## 5234            no male asymptomatic        120        564  166.0     0.8
## 5235            no male asymptomatic        120        564  166.0     0.8
## 5236            no male asymptomatic        120        564  166.0     0.8
## 5237            no male asymptomatic        120        564  166.0     0.8
## 5238            no male asymptomatic        120        564  166.0     0.8
## 5239            no male asymptomatic        120        564  166.0     1.6
## 5240            no male asymptomatic        120        564  166.0     1.6
## 5241            no male asymptomatic        120        564  166.0     1.6
## 5242            no male asymptomatic        120        564  166.0     1.6
## 5243            no male asymptomatic        120        564  166.0     1.6
## 5244            no male asymptomatic        120        564  166.0     1.6
## 5245            no male asymptomatic        120        564  166.0     1.6
## 5246            no male asymptomatic        120        564  166.0     1.6
## 5247            no male asymptomatic        120        564  166.0     1.6
## 5248            no male asymptomatic        120        564  166.0     1.6
## 5249            no male asymptomatic        120        564  166.0     1.6
## 5250            no male asymptomatic        120        564  166.0     1.6
## 5251            no male asymptomatic        120        564  166.0     1.6
## 5252            no male asymptomatic        120        564  166.0     1.6
## 5253            no male asymptomatic        120        564  166.0     1.6
## 5254            no male asymptomatic        120        564  166.0     1.6
## 5255            no male asymptomatic        120        564  166.0     1.6
## 5256            no male asymptomatic        120        564  166.0     1.6
## 5257            no male asymptomatic        120        564  166.0     1.6
## 5258            no male asymptomatic        120        564  166.0     1.6
## 5259            no male asymptomatic        120        564  166.0     1.6
## 5260            no male asymptomatic        120        564  166.0     1.6
## 5261            no male asymptomatic        120        564  166.0     1.6
## 5262            no male asymptomatic        120        564  166.0     1.6
## 5263            no male asymptomatic        120        564  166.0     1.6
## 5264            no male asymptomatic        120        564  166.0     1.6
## 5265            no male asymptomatic        120        564  166.0     1.6
## 5266            no male asymptomatic        120        564  166.0     6.2
## 5267            no male asymptomatic        120        564  166.0     6.2
## 5268            no male asymptomatic        120        564  166.0     6.2
## 5269            no male asymptomatic        120        564  166.0     6.2
## 5270            no male asymptomatic        120        564  166.0     6.2
## 5271            no male asymptomatic        120        564  166.0     6.2
## 5272            no male asymptomatic        120        564  166.0     6.2
## 5273            no male asymptomatic        120        564  166.0     6.2
## 5274            no male asymptomatic        120        564  166.0     6.2
## 5275            no male asymptomatic        120        564  166.0     6.2
## 5276            no male asymptomatic        120        564  166.0     6.2
## 5277            no male asymptomatic        120        564  166.0     6.2
## 5278            no male asymptomatic        120        564  166.0     6.2
## 5279            no male asymptomatic        120        564  166.0     6.2
## 5280            no male asymptomatic        120        564  166.0     6.2
## 5281            no male asymptomatic        120        564  166.0     6.2
## 5282            no male asymptomatic        120        564  166.0     6.2
## 5283            no male asymptomatic        120        564  166.0     6.2
## 5284            no male asymptomatic        120        564  166.0     6.2
## 5285            no male asymptomatic        120        564  166.0     6.2
## 5286            no male asymptomatic        120        564  166.0     6.2
## 5287            no male asymptomatic        120        564  166.0     6.2
## 5288            no male asymptomatic        120        564  166.0     6.2
## 5289            no male asymptomatic        120        564  166.0     6.2
## 5290            no male asymptomatic        120        564  166.0     6.2
## 5291            no male asymptomatic        120        564  166.0     6.2
## 5292            no male asymptomatic        120        564  166.0     6.2
## 5293            no male asymptomatic        120        564  202.0     0.0
## 5294            no male asymptomatic        120        564  202.0     0.0
## 5295            no male asymptomatic        120        564  202.0     0.0
## 5296            no male asymptomatic        120        564  202.0     0.0
## 5297            no male asymptomatic        120        564  202.0     0.0
## 5298            no male asymptomatic        120        564  202.0     0.0
## 5299            no male asymptomatic        120        564  202.0     0.0
## 5300            no male asymptomatic        120        564  202.0     0.0
## 5301            no male asymptomatic        120        564  202.0     0.0
## 5302            no male asymptomatic        120        564  202.0     0.0
## 5303            no male asymptomatic        120        564  202.0     0.0
## 5304            no male asymptomatic        120        564  202.0     0.0
## 5305            no male asymptomatic        120        564  202.0     0.0
## 5306            no male asymptomatic        120        564  202.0     0.0
## 5307            no male asymptomatic        120        564  202.0     0.0
## 5308            no male asymptomatic        120        564  202.0     0.0
## 5309            no male asymptomatic        120        564  202.0     0.0
## 5310            no male asymptomatic        120        564  202.0     0.0
## 5311            no male asymptomatic        120        564  202.0     0.0
## 5312            no male asymptomatic        120        564  202.0     0.0
## 5313            no male asymptomatic        120        564  202.0     0.0
## 5314            no male asymptomatic        120        564  202.0     0.0
## 5315            no male asymptomatic        120        564  202.0     0.0
## 5316            no male asymptomatic        120        564  202.0     0.0
## 5317            no male asymptomatic        120        564  202.0     0.0
## 5318            no male asymptomatic        120        564  202.0     0.0
## 5319            no male asymptomatic        120        564  202.0     0.0
## 5320            no male asymptomatic        120        564  202.0     0.8
## 5321            no male asymptomatic        120        564  202.0     0.8
## 5322            no male asymptomatic        120        564  202.0     0.8
## 5323            no male asymptomatic        120        564  202.0     0.8
## 5324            no male asymptomatic        120        564  202.0     0.8
## 5325            no male asymptomatic        120        564  202.0     0.8
## 5326            no male asymptomatic        120        564  202.0     0.8
## 5327            no male asymptomatic        120        564  202.0     0.8
## 5328            no male asymptomatic        120        564  202.0     0.8
## 5329            no male asymptomatic        120        564  202.0     0.8
## 5330            no male asymptomatic        120        564  202.0     0.8
## 5331            no male asymptomatic        120        564  202.0     0.8
## 5332            no male asymptomatic        120        564  202.0     0.8
## 5333            no male asymptomatic        120        564  202.0     0.8
## 5334            no male asymptomatic        120        564  202.0     0.8
## 5335            no male asymptomatic        120        564  202.0     0.8
## 5336            no male asymptomatic        120        564  202.0     0.8
## 5337            no male asymptomatic        120        564  202.0     0.8
## 5338            no male asymptomatic        120        564  202.0     0.8
## 5339            no male asymptomatic        120        564  202.0     0.8
## 5340            no male asymptomatic        120        564  202.0     0.8
## 5341            no male asymptomatic        120        564  202.0     0.8
## 5342            no male asymptomatic        120        564  202.0     0.8
## 5343            no male asymptomatic        120        564  202.0     0.8
## 5344            no male asymptomatic        120        564  202.0     0.8
## 5345            no male asymptomatic        120        564  202.0     0.8
## 5346            no male asymptomatic        120        564  202.0     0.8
## 5347            no male asymptomatic        120        564  202.0     1.6
## 5348            no male asymptomatic        120        564  202.0     1.6
## 5349            no male asymptomatic        120        564  202.0     1.6
## 5350            no male asymptomatic        120        564  202.0     1.6
## 5351            no male asymptomatic        120        564  202.0     1.6
## 5352            no male asymptomatic        120        564  202.0     1.6
## 5353            no male asymptomatic        120        564  202.0     1.6
## 5354            no male asymptomatic        120        564  202.0     1.6
## 5355            no male asymptomatic        120        564  202.0     1.6
## 5356            no male asymptomatic        120        564  202.0     1.6
## 5357            no male asymptomatic        120        564  202.0     1.6
## 5358            no male asymptomatic        120        564  202.0     1.6
## 5359            no male asymptomatic        120        564  202.0     1.6
## 5360            no male asymptomatic        120        564  202.0     1.6
## 5361            no male asymptomatic        120        564  202.0     1.6
## 5362            no male asymptomatic        120        564  202.0     1.6
## 5363            no male asymptomatic        120        564  202.0     1.6
## 5364            no male asymptomatic        120        564  202.0     1.6
## 5365            no male asymptomatic        120        564  202.0     1.6
## 5366            no male asymptomatic        120        564  202.0     1.6
## 5367            no male asymptomatic        120        564  202.0     1.6
## 5368            no male asymptomatic        120        564  202.0     1.6
## 5369            no male asymptomatic        120        564  202.0     1.6
## 5370            no male asymptomatic        120        564  202.0     1.6
## 5371            no male asymptomatic        120        564  202.0     1.6
## 5372            no male asymptomatic        120        564  202.0     1.6
## 5373            no male asymptomatic        120        564  202.0     1.6
## 5374            no male asymptomatic        120        564  202.0     6.2
## 5375            no male asymptomatic        120        564  202.0     6.2
## 5376            no male asymptomatic        120        564  202.0     6.2
## 5377            no male asymptomatic        120        564  202.0     6.2
## 5378            no male asymptomatic        120        564  202.0     6.2
## 5379            no male asymptomatic        120        564  202.0     6.2
## 5380            no male asymptomatic        120        564  202.0     6.2
## 5381            no male asymptomatic        120        564  202.0     6.2
## 5382            no male asymptomatic        120        564  202.0     6.2
## 5383            no male asymptomatic        120        564  202.0     6.2
## 5384            no male asymptomatic        120        564  202.0     6.2
## 5385            no male asymptomatic        120        564  202.0     6.2
## 5386            no male asymptomatic        120        564  202.0     6.2
## 5387            no male asymptomatic        120        564  202.0     6.2
## 5388            no male asymptomatic        120        564  202.0     6.2
## 5389            no male asymptomatic        120        564  202.0     6.2
## 5390            no male asymptomatic        120        564  202.0     6.2
## 5391            no male asymptomatic        120        564  202.0     6.2
## 5392            no male asymptomatic        120        564  202.0     6.2
## 5393            no male asymptomatic        120        564  202.0     6.2
## 5394            no male asymptomatic        120        564  202.0     6.2
## 5395            no male asymptomatic        120        564  202.0     6.2
## 5396            no male asymptomatic        120        564  202.0     6.2
## 5397            no male asymptomatic        120        564  202.0     6.2
## 5398            no male asymptomatic        120        564  202.0     6.2
## 5399            no male asymptomatic        120        564  202.0     6.2
## 5400            no male asymptomatic        120        564  202.0     6.2
## 5401            no male asymptomatic        130        126   71.0     0.0
## 5402            no male asymptomatic        130        126   71.0     0.0
## 5403            no male asymptomatic        130        126   71.0     0.0
## 5404            no male asymptomatic        130        126   71.0     0.0
## 5405            no male asymptomatic        130        126   71.0     0.0
## 5406            no male asymptomatic        130        126   71.0     0.0
## 5407            no male asymptomatic        130        126   71.0     0.0
## 5408            no male asymptomatic        130        126   71.0     0.0
## 5409            no male asymptomatic        130        126   71.0     0.0
## 5410            no male asymptomatic        130        126   71.0     0.0
## 5411            no male asymptomatic        130        126   71.0     0.0
## 5412            no male asymptomatic        130        126   71.0     0.0
## 5413            no male asymptomatic        130        126   71.0     0.0
## 5414            no male asymptomatic        130        126   71.0     0.0
## 5415            no male asymptomatic        130        126   71.0     0.0
## 5416            no male asymptomatic        130        126   71.0     0.0
## 5417            no male asymptomatic        130        126   71.0     0.0
## 5418            no male asymptomatic        130        126   71.0     0.0
## 5419            no male asymptomatic        130        126   71.0     0.0
## 5420            no male asymptomatic        130        126   71.0     0.0
## 5421            no male asymptomatic        130        126   71.0     0.0
## 5422            no male asymptomatic        130        126   71.0     0.0
## 5423            no male asymptomatic        130        126   71.0     0.0
## 5424            no male asymptomatic        130        126   71.0     0.0
## 5425            no male asymptomatic        130        126   71.0     0.0
## 5426            no male asymptomatic        130        126   71.0     0.0
## 5427            no male asymptomatic        130        126   71.0     0.0
## 5428            no male asymptomatic        130        126   71.0     0.8
## 5429            no male asymptomatic        130        126   71.0     0.8
## 5430            no male asymptomatic        130        126   71.0     0.8
## 5431            no male asymptomatic        130        126   71.0     0.8
## 5432            no male asymptomatic        130        126   71.0     0.8
## 5433            no male asymptomatic        130        126   71.0     0.8
## 5434            no male asymptomatic        130        126   71.0     0.8
## 5435            no male asymptomatic        130        126   71.0     0.8
## 5436            no male asymptomatic        130        126   71.0     0.8
## 5437            no male asymptomatic        130        126   71.0     0.8
## 5438            no male asymptomatic        130        126   71.0     0.8
## 5439            no male asymptomatic        130        126   71.0     0.8
## 5440            no male asymptomatic        130        126   71.0     0.8
## 5441            no male asymptomatic        130        126   71.0     0.8
## 5442            no male asymptomatic        130        126   71.0     0.8
## 5443            no male asymptomatic        130        126   71.0     0.8
## 5444            no male asymptomatic        130        126   71.0     0.8
## 5445            no male asymptomatic        130        126   71.0     0.8
## 5446            no male asymptomatic        130        126   71.0     0.8
## 5447            no male asymptomatic        130        126   71.0     0.8
## 5448            no male asymptomatic        130        126   71.0     0.8
## 5449            no male asymptomatic        130        126   71.0     0.8
## 5450            no male asymptomatic        130        126   71.0     0.8
## 5451            no male asymptomatic        130        126   71.0     0.8
## 5452            no male asymptomatic        130        126   71.0     0.8
## 5453            no male asymptomatic        130        126   71.0     0.8
## 5454            no male asymptomatic        130        126   71.0     0.8
## 5455            no male asymptomatic        130        126   71.0     1.6
## 5456            no male asymptomatic        130        126   71.0     1.6
## 5457            no male asymptomatic        130        126   71.0     1.6
## 5458            no male asymptomatic        130        126   71.0     1.6
## 5459            no male asymptomatic        130        126   71.0     1.6
## 5460            no male asymptomatic        130        126   71.0     1.6
## 5461            no male asymptomatic        130        126   71.0     1.6
## 5462            no male asymptomatic        130        126   71.0     1.6
## 5463            no male asymptomatic        130        126   71.0     1.6
## 5464            no male asymptomatic        130        126   71.0     1.6
## 5465            no male asymptomatic        130        126   71.0     1.6
## 5466            no male asymptomatic        130        126   71.0     1.6
## 5467            no male asymptomatic        130        126   71.0     1.6
## 5468            no male asymptomatic        130        126   71.0     1.6
## 5469            no male asymptomatic        130        126   71.0     1.6
## 5470            no male asymptomatic        130        126   71.0     1.6
## 5471            no male asymptomatic        130        126   71.0     1.6
## 5472            no male asymptomatic        130        126   71.0     1.6
## 5473            no male asymptomatic        130        126   71.0     1.6
## 5474            no male asymptomatic        130        126   71.0     1.6
## 5475            no male asymptomatic        130        126   71.0     1.6
## 5476            no male asymptomatic        130        126   71.0     1.6
## 5477            no male asymptomatic        130        126   71.0     1.6
## 5478            no male asymptomatic        130        126   71.0     1.6
## 5479            no male asymptomatic        130        126   71.0     1.6
## 5480            no male asymptomatic        130        126   71.0     1.6
## 5481            no male asymptomatic        130        126   71.0     1.6
## 5482            no male asymptomatic        130        126   71.0     6.2
## 5483            no male asymptomatic        130        126   71.0     6.2
## 5484            no male asymptomatic        130        126   71.0     6.2
## 5485            no male asymptomatic        130        126   71.0     6.2
## 5486            no male asymptomatic        130        126   71.0     6.2
## 5487            no male asymptomatic        130        126   71.0     6.2
## 5488            no male asymptomatic        130        126   71.0     6.2
## 5489            no male asymptomatic        130        126   71.0     6.2
## 5490            no male asymptomatic        130        126   71.0     6.2
## 5491            no male asymptomatic        130        126   71.0     6.2
## 5492            no male asymptomatic        130        126   71.0     6.2
## 5493            no male asymptomatic        130        126   71.0     6.2
## 5494            no male asymptomatic        130        126   71.0     6.2
## 5495            no male asymptomatic        130        126   71.0     6.2
## 5496            no male asymptomatic        130        126   71.0     6.2
## 5497            no male asymptomatic        130        126   71.0     6.2
## 5498            no male asymptomatic        130        126   71.0     6.2
## 5499            no male asymptomatic        130        126   71.0     6.2
## 5500            no male asymptomatic        130        126   71.0     6.2
## 5501            no male asymptomatic        130        126   71.0     6.2
## 5502            no male asymptomatic        130        126   71.0     6.2
## 5503            no male asymptomatic        130        126   71.0     6.2
## 5504            no male asymptomatic        130        126   71.0     6.2
## 5505            no male asymptomatic        130        126   71.0     6.2
## 5506            no male asymptomatic        130        126   71.0     6.2
## 5507            no male asymptomatic        130        126   71.0     6.2
## 5508            no male asymptomatic        130        126   71.0     6.2
## 5509            no male asymptomatic        130        126  133.0     0.0
## 5510            no male asymptomatic        130        126  133.0     0.0
## 5511            no male asymptomatic        130        126  133.0     0.0
## 5512            no male asymptomatic        130        126  133.0     0.0
## 5513            no male asymptomatic        130        126  133.0     0.0
## 5514            no male asymptomatic        130        126  133.0     0.0
## 5515            no male asymptomatic        130        126  133.0     0.0
## 5516            no male asymptomatic        130        126  133.0     0.0
## 5517            no male asymptomatic        130        126  133.0     0.0
## 5518            no male asymptomatic        130        126  133.0     0.0
## 5519            no male asymptomatic        130        126  133.0     0.0
## 5520            no male asymptomatic        130        126  133.0     0.0
## 5521            no male asymptomatic        130        126  133.0     0.0
## 5522            no male asymptomatic        130        126  133.0     0.0
## 5523            no male asymptomatic        130        126  133.0     0.0
## 5524            no male asymptomatic        130        126  133.0     0.0
## 5525            no male asymptomatic        130        126  133.0     0.0
## 5526            no male asymptomatic        130        126  133.0     0.0
## 5527            no male asymptomatic        130        126  133.0     0.0
## 5528            no male asymptomatic        130        126  133.0     0.0
## 5529            no male asymptomatic        130        126  133.0     0.0
## 5530            no male asymptomatic        130        126  133.0     0.0
## 5531            no male asymptomatic        130        126  133.0     0.0
## 5532            no male asymptomatic        130        126  133.0     0.0
## 5533            no male asymptomatic        130        126  133.0     0.0
## 5534            no male asymptomatic        130        126  133.0     0.0
## 5535            no male asymptomatic        130        126  133.0     0.0
## 5536            no male asymptomatic        130        126  133.0     0.8
## 5537            no male asymptomatic        130        126  133.0     0.8
## 5538            no male asymptomatic        130        126  133.0     0.8
## 5539            no male asymptomatic        130        126  133.0     0.8
## 5540            no male asymptomatic        130        126  133.0     0.8
## 5541            no male asymptomatic        130        126  133.0     0.8
## 5542            no male asymptomatic        130        126  133.0     0.8
## 5543            no male asymptomatic        130        126  133.0     0.8
## 5544            no male asymptomatic        130        126  133.0     0.8
## 5545            no male asymptomatic        130        126  133.0     0.8
## 5546            no male asymptomatic        130        126  133.0     0.8
## 5547            no male asymptomatic        130        126  133.0     0.8
## 5548            no male asymptomatic        130        126  133.0     0.8
## 5549            no male asymptomatic        130        126  133.0     0.8
## 5550            no male asymptomatic        130        126  133.0     0.8
## 5551            no male asymptomatic        130        126  133.0     0.8
## 5552            no male asymptomatic        130        126  133.0     0.8
## 5553            no male asymptomatic        130        126  133.0     0.8
## 5554            no male asymptomatic        130        126  133.0     0.8
## 5555            no male asymptomatic        130        126  133.0     0.8
## 5556            no male asymptomatic        130        126  133.0     0.8
## 5557            no male asymptomatic        130        126  133.0     0.8
## 5558            no male asymptomatic        130        126  133.0     0.8
## 5559            no male asymptomatic        130        126  133.0     0.8
## 5560            no male asymptomatic        130        126  133.0     0.8
## 5561            no male asymptomatic        130        126  133.0     0.8
## 5562            no male asymptomatic        130        126  133.0     0.8
## 5563            no male asymptomatic        130        126  133.0     1.6
## 5564            no male asymptomatic        130        126  133.0     1.6
## 5565            no male asymptomatic        130        126  133.0     1.6
## 5566            no male asymptomatic        130        126  133.0     1.6
## 5567            no male asymptomatic        130        126  133.0     1.6
## 5568            no male asymptomatic        130        126  133.0     1.6
## 5569            no male asymptomatic        130        126  133.0     1.6
## 5570            no male asymptomatic        130        126  133.0     1.6
## 5571            no male asymptomatic        130        126  133.0     1.6
## 5572            no male asymptomatic        130        126  133.0     1.6
## 5573            no male asymptomatic        130        126  133.0     1.6
## 5574            no male asymptomatic        130        126  133.0     1.6
## 5575            no male asymptomatic        130        126  133.0     1.6
## 5576            no male asymptomatic        130        126  133.0     1.6
## 5577            no male asymptomatic        130        126  133.0     1.6
## 5578            no male asymptomatic        130        126  133.0     1.6
## 5579            no male asymptomatic        130        126  133.0     1.6
## 5580            no male asymptomatic        130        126  133.0     1.6
## 5581            no male asymptomatic        130        126  133.0     1.6
## 5582            no male asymptomatic        130        126  133.0     1.6
## 5583            no male asymptomatic        130        126  133.0     1.6
## 5584            no male asymptomatic        130        126  133.0     1.6
## 5585            no male asymptomatic        130        126  133.0     1.6
## 5586            no male asymptomatic        130        126  133.0     1.6
## 5587            no male asymptomatic        130        126  133.0     1.6
## 5588            no male asymptomatic        130        126  133.0     1.6
## 5589            no male asymptomatic        130        126  133.0     1.6
## 5590            no male asymptomatic        130        126  133.0     6.2
## 5591            no male asymptomatic        130        126  133.0     6.2
## 5592            no male asymptomatic        130        126  133.0     6.2
## 5593            no male asymptomatic        130        126  133.0     6.2
## 5594            no male asymptomatic        130        126  133.0     6.2
## 5595            no male asymptomatic        130        126  133.0     6.2
## 5596            no male asymptomatic        130        126  133.0     6.2
## 5597            no male asymptomatic        130        126  133.0     6.2
## 5598            no male asymptomatic        130        126  133.0     6.2
## 5599            no male asymptomatic        130        126  133.0     6.2
## 5600            no male asymptomatic        130        126  133.0     6.2
## 5601            no male asymptomatic        130        126  133.0     6.2
## 5602            no male asymptomatic        130        126  133.0     6.2
## 5603            no male asymptomatic        130        126  133.0     6.2
## 5604            no male asymptomatic        130        126  133.0     6.2
## 5605            no male asymptomatic        130        126  133.0     6.2
## 5606            no male asymptomatic        130        126  133.0     6.2
## 5607            no male asymptomatic        130        126  133.0     6.2
## 5608            no male asymptomatic        130        126  133.0     6.2
## 5609            no male asymptomatic        130        126  133.0     6.2
## 5610            no male asymptomatic        130        126  133.0     6.2
## 5611            no male asymptomatic        130        126  133.0     6.2
## 5612            no male asymptomatic        130        126  133.0     6.2
## 5613            no male asymptomatic        130        126  133.0     6.2
## 5614            no male asymptomatic        130        126  133.0     6.2
## 5615            no male asymptomatic        130        126  133.0     6.2
## 5616            no male asymptomatic        130        126  133.0     6.2
## 5617            no male asymptomatic        130        126  153.5     0.0
## 5618            no male asymptomatic        130        126  153.5     0.0
## 5619            no male asymptomatic        130        126  153.5     0.0
## 5620            no male asymptomatic        130        126  153.5     0.0
## 5621            no male asymptomatic        130        126  153.5     0.0
## 5622            no male asymptomatic        130        126  153.5     0.0
## 5623            no male asymptomatic        130        126  153.5     0.0
## 5624            no male asymptomatic        130        126  153.5     0.0
## 5625            no male asymptomatic        130        126  153.5     0.0
## 5626            no male asymptomatic        130        126  153.5     0.0
## 5627            no male asymptomatic        130        126  153.5     0.0
## 5628            no male asymptomatic        130        126  153.5     0.0
## 5629            no male asymptomatic        130        126  153.5     0.0
## 5630            no male asymptomatic        130        126  153.5     0.0
## 5631            no male asymptomatic        130        126  153.5     0.0
## 5632            no male asymptomatic        130        126  153.5     0.0
## 5633            no male asymptomatic        130        126  153.5     0.0
## 5634            no male asymptomatic        130        126  153.5     0.0
## 5635            no male asymptomatic        130        126  153.5     0.0
## 5636            no male asymptomatic        130        126  153.5     0.0
## 5637            no male asymptomatic        130        126  153.5     0.0
## 5638            no male asymptomatic        130        126  153.5     0.0
## 5639            no male asymptomatic        130        126  153.5     0.0
## 5640            no male asymptomatic        130        126  153.5     0.0
## 5641            no male asymptomatic        130        126  153.5     0.0
## 5642            no male asymptomatic        130        126  153.5     0.0
## 5643            no male asymptomatic        130        126  153.5     0.0
## 5644            no male asymptomatic        130        126  153.5     0.8
## 5645            no male asymptomatic        130        126  153.5     0.8
## 5646            no male asymptomatic        130        126  153.5     0.8
## 5647            no male asymptomatic        130        126  153.5     0.8
## 5648            no male asymptomatic        130        126  153.5     0.8
## 5649            no male asymptomatic        130        126  153.5     0.8
## 5650            no male asymptomatic        130        126  153.5     0.8
## 5651            no male asymptomatic        130        126  153.5     0.8
## 5652            no male asymptomatic        130        126  153.5     0.8
## 5653            no male asymptomatic        130        126  153.5     0.8
## 5654            no male asymptomatic        130        126  153.5     0.8
## 5655            no male asymptomatic        130        126  153.5     0.8
## 5656            no male asymptomatic        130        126  153.5     0.8
## 5657            no male asymptomatic        130        126  153.5     0.8
## 5658            no male asymptomatic        130        126  153.5     0.8
## 5659            no male asymptomatic        130        126  153.5     0.8
## 5660            no male asymptomatic        130        126  153.5     0.8
## 5661            no male asymptomatic        130        126  153.5     0.8
## 5662            no male asymptomatic        130        126  153.5     0.8
## 5663            no male asymptomatic        130        126  153.5     0.8
## 5664            no male asymptomatic        130        126  153.5     0.8
## 5665            no male asymptomatic        130        126  153.5     0.8
## 5666            no male asymptomatic        130        126  153.5     0.8
## 5667            no male asymptomatic        130        126  153.5     0.8
## 5668            no male asymptomatic        130        126  153.5     0.8
## 5669            no male asymptomatic        130        126  153.5     0.8
## 5670            no male asymptomatic        130        126  153.5     0.8
## 5671            no male asymptomatic        130        126  153.5     1.6
## 5672            no male asymptomatic        130        126  153.5     1.6
## 5673            no male asymptomatic        130        126  153.5     1.6
## 5674            no male asymptomatic        130        126  153.5     1.6
## 5675            no male asymptomatic        130        126  153.5     1.6
## 5676            no male asymptomatic        130        126  153.5     1.6
## 5677            no male asymptomatic        130        126  153.5     1.6
## 5678            no male asymptomatic        130        126  153.5     1.6
## 5679            no male asymptomatic        130        126  153.5     1.6
## 5680            no male asymptomatic        130        126  153.5     1.6
## 5681            no male asymptomatic        130        126  153.5     1.6
## 5682            no male asymptomatic        130        126  153.5     1.6
## 5683            no male asymptomatic        130        126  153.5     1.6
## 5684            no male asymptomatic        130        126  153.5     1.6
## 5685            no male asymptomatic        130        126  153.5     1.6
## 5686            no male asymptomatic        130        126  153.5     1.6
## 5687            no male asymptomatic        130        126  153.5     1.6
## 5688            no male asymptomatic        130        126  153.5     1.6
## 5689            no male asymptomatic        130        126  153.5     1.6
## 5690            no male asymptomatic        130        126  153.5     1.6
## 5691            no male asymptomatic        130        126  153.5     1.6
## 5692            no male asymptomatic        130        126  153.5     1.6
## 5693            no male asymptomatic        130        126  153.5     1.6
## 5694            no male asymptomatic        130        126  153.5     1.6
## 5695            no male asymptomatic        130        126  153.5     1.6
## 5696            no male asymptomatic        130        126  153.5     1.6
## 5697            no male asymptomatic        130        126  153.5     1.6
## 5698            no male asymptomatic        130        126  153.5     6.2
## 5699            no male asymptomatic        130        126  153.5     6.2
## 5700            no male asymptomatic        130        126  153.5     6.2
## 5701            no male asymptomatic        130        126  153.5     6.2
## 5702            no male asymptomatic        130        126  153.5     6.2
## 5703            no male asymptomatic        130        126  153.5     6.2
## 5704            no male asymptomatic        130        126  153.5     6.2
## 5705            no male asymptomatic        130        126  153.5     6.2
## 5706            no male asymptomatic        130        126  153.5     6.2
## 5707            no male asymptomatic        130        126  153.5     6.2
## 5708            no male asymptomatic        130        126  153.5     6.2
## 5709            no male asymptomatic        130        126  153.5     6.2
## 5710            no male asymptomatic        130        126  153.5     6.2
## 5711            no male asymptomatic        130        126  153.5     6.2
## 5712            no male asymptomatic        130        126  153.5     6.2
## 5713            no male asymptomatic        130        126  153.5     6.2
## 5714            no male asymptomatic        130        126  153.5     6.2
## 5715            no male asymptomatic        130        126  153.5     6.2
## 5716            no male asymptomatic        130        126  153.5     6.2
## 5717            no male asymptomatic        130        126  153.5     6.2
## 5718            no male asymptomatic        130        126  153.5     6.2
## 5719            no male asymptomatic        130        126  153.5     6.2
## 5720            no male asymptomatic        130        126  153.5     6.2
## 5721            no male asymptomatic        130        126  153.5     6.2
## 5722            no male asymptomatic        130        126  153.5     6.2
## 5723            no male asymptomatic        130        126  153.5     6.2
## 5724            no male asymptomatic        130        126  153.5     6.2
## 5725            no male asymptomatic        130        126  166.0     0.0
## 5726            no male asymptomatic        130        126  166.0     0.0
## 5727            no male asymptomatic        130        126  166.0     0.0
## 5728            no male asymptomatic        130        126  166.0     0.0
## 5729            no male asymptomatic        130        126  166.0     0.0
## 5730            no male asymptomatic        130        126  166.0     0.0
## 5731            no male asymptomatic        130        126  166.0     0.0
## 5732            no male asymptomatic        130        126  166.0     0.0
## 5733            no male asymptomatic        130        126  166.0     0.0
## 5734            no male asymptomatic        130        126  166.0     0.0
## 5735            no male asymptomatic        130        126  166.0     0.0
## 5736            no male asymptomatic        130        126  166.0     0.0
## 5737            no male asymptomatic        130        126  166.0     0.0
## 5738            no male asymptomatic        130        126  166.0     0.0
## 5739            no male asymptomatic        130        126  166.0     0.0
## 5740            no male asymptomatic        130        126  166.0     0.0
## 5741            no male asymptomatic        130        126  166.0     0.0
## 5742            no male asymptomatic        130        126  166.0     0.0
## 5743            no male asymptomatic        130        126  166.0     0.0
## 5744            no male asymptomatic        130        126  166.0     0.0
## 5745            no male asymptomatic        130        126  166.0     0.0
## 5746            no male asymptomatic        130        126  166.0     0.0
## 5747            no male asymptomatic        130        126  166.0     0.0
## 5748            no male asymptomatic        130        126  166.0     0.0
## 5749            no male asymptomatic        130        126  166.0     0.0
## 5750            no male asymptomatic        130        126  166.0     0.0
## 5751            no male asymptomatic        130        126  166.0     0.0
## 5752            no male asymptomatic        130        126  166.0     0.8
## 5753            no male asymptomatic        130        126  166.0     0.8
## 5754            no male asymptomatic        130        126  166.0     0.8
## 5755            no male asymptomatic        130        126  166.0     0.8
## 5756            no male asymptomatic        130        126  166.0     0.8
## 5757            no male asymptomatic        130        126  166.0     0.8
## 5758            no male asymptomatic        130        126  166.0     0.8
## 5759            no male asymptomatic        130        126  166.0     0.8
## 5760            no male asymptomatic        130        126  166.0     0.8
## 5761            no male asymptomatic        130        126  166.0     0.8
## 5762            no male asymptomatic        130        126  166.0     0.8
## 5763            no male asymptomatic        130        126  166.0     0.8
## 5764            no male asymptomatic        130        126  166.0     0.8
## 5765            no male asymptomatic        130        126  166.0     0.8
## 5766            no male asymptomatic        130        126  166.0     0.8
## 5767            no male asymptomatic        130        126  166.0     0.8
## 5768            no male asymptomatic        130        126  166.0     0.8
## 5769            no male asymptomatic        130        126  166.0     0.8
## 5770            no male asymptomatic        130        126  166.0     0.8
## 5771            no male asymptomatic        130        126  166.0     0.8
## 5772            no male asymptomatic        130        126  166.0     0.8
## 5773            no male asymptomatic        130        126  166.0     0.8
## 5774            no male asymptomatic        130        126  166.0     0.8
## 5775            no male asymptomatic        130        126  166.0     0.8
## 5776            no male asymptomatic        130        126  166.0     0.8
## 5777            no male asymptomatic        130        126  166.0     0.8
## 5778            no male asymptomatic        130        126  166.0     0.8
## 5779            no male asymptomatic        130        126  166.0     1.6
## 5780            no male asymptomatic        130        126  166.0     1.6
## 5781            no male asymptomatic        130        126  166.0     1.6
## 5782            no male asymptomatic        130        126  166.0     1.6
## 5783            no male asymptomatic        130        126  166.0     1.6
## 5784            no male asymptomatic        130        126  166.0     1.6
## 5785            no male asymptomatic        130        126  166.0     1.6
## 5786            no male asymptomatic        130        126  166.0     1.6
## 5787            no male asymptomatic        130        126  166.0     1.6
## 5788            no male asymptomatic        130        126  166.0     1.6
## 5789            no male asymptomatic        130        126  166.0     1.6
## 5790            no male asymptomatic        130        126  166.0     1.6
## 5791            no male asymptomatic        130        126  166.0     1.6
## 5792            no male asymptomatic        130        126  166.0     1.6
## 5793            no male asymptomatic        130        126  166.0     1.6
## 5794            no male asymptomatic        130        126  166.0     1.6
## 5795            no male asymptomatic        130        126  166.0     1.6
## 5796            no male asymptomatic        130        126  166.0     1.6
## 5797            no male asymptomatic        130        126  166.0     1.6
## 5798            no male asymptomatic        130        126  166.0     1.6
## 5799            no male asymptomatic        130        126  166.0     1.6
## 5800            no male asymptomatic        130        126  166.0     1.6
## 5801            no male asymptomatic        130        126  166.0     1.6
## 5802            no male asymptomatic        130        126  166.0     1.6
## 5803            no male asymptomatic        130        126  166.0     1.6
## 5804            no male asymptomatic        130        126  166.0     1.6
## 5805            no male asymptomatic        130        126  166.0     1.6
## 5806            no male asymptomatic        130        126  166.0     6.2
## 5807            no male asymptomatic        130        126  166.0     6.2
## 5808            no male asymptomatic        130        126  166.0     6.2
## 5809            no male asymptomatic        130        126  166.0     6.2
## 5810            no male asymptomatic        130        126  166.0     6.2
## 5811            no male asymptomatic        130        126  166.0     6.2
## 5812            no male asymptomatic        130        126  166.0     6.2
## 5813            no male asymptomatic        130        126  166.0     6.2
## 5814            no male asymptomatic        130        126  166.0     6.2
## 5815            no male asymptomatic        130        126  166.0     6.2
## 5816            no male asymptomatic        130        126  166.0     6.2
## 5817            no male asymptomatic        130        126  166.0     6.2
## 5818            no male asymptomatic        130        126  166.0     6.2
## 5819            no male asymptomatic        130        126  166.0     6.2
## 5820            no male asymptomatic        130        126  166.0     6.2
## 5821            no male asymptomatic        130        126  166.0     6.2
## 5822            no male asymptomatic        130        126  166.0     6.2
## 5823            no male asymptomatic        130        126  166.0     6.2
## 5824            no male asymptomatic        130        126  166.0     6.2
## 5825            no male asymptomatic        130        126  166.0     6.2
## 5826            no male asymptomatic        130        126  166.0     6.2
## 5827            no male asymptomatic        130        126  166.0     6.2
## 5828            no male asymptomatic        130        126  166.0     6.2
## 5829            no male asymptomatic        130        126  166.0     6.2
## 5830            no male asymptomatic        130        126  166.0     6.2
## 5831            no male asymptomatic        130        126  166.0     6.2
## 5832            no male asymptomatic        130        126  166.0     6.2
## 5833            no male asymptomatic        130        126  202.0     0.0
## 5834            no male asymptomatic        130        126  202.0     0.0
## 5835            no male asymptomatic        130        126  202.0     0.0
## 5836            no male asymptomatic        130        126  202.0     0.0
## 5837            no male asymptomatic        130        126  202.0     0.0
## 5838            no male asymptomatic        130        126  202.0     0.0
## 5839            no male asymptomatic        130        126  202.0     0.0
## 5840            no male asymptomatic        130        126  202.0     0.0
## 5841            no male asymptomatic        130        126  202.0     0.0
## 5842            no male asymptomatic        130        126  202.0     0.0
## 5843            no male asymptomatic        130        126  202.0     0.0
## 5844            no male asymptomatic        130        126  202.0     0.0
## 5845            no male asymptomatic        130        126  202.0     0.0
## 5846            no male asymptomatic        130        126  202.0     0.0
## 5847            no male asymptomatic        130        126  202.0     0.0
## 5848            no male asymptomatic        130        126  202.0     0.0
## 5849            no male asymptomatic        130        126  202.0     0.0
## 5850            no male asymptomatic        130        126  202.0     0.0
## 5851            no male asymptomatic        130        126  202.0     0.0
## 5852            no male asymptomatic        130        126  202.0     0.0
## 5853            no male asymptomatic        130        126  202.0     0.0
## 5854            no male asymptomatic        130        126  202.0     0.0
## 5855            no male asymptomatic        130        126  202.0     0.0
## 5856            no male asymptomatic        130        126  202.0     0.0
## 5857            no male asymptomatic        130        126  202.0     0.0
## 5858            no male asymptomatic        130        126  202.0     0.0
## 5859            no male asymptomatic        130        126  202.0     0.0
## 5860            no male asymptomatic        130        126  202.0     0.8
## 5861            no male asymptomatic        130        126  202.0     0.8
## 5862            no male asymptomatic        130        126  202.0     0.8
## 5863            no male asymptomatic        130        126  202.0     0.8
## 5864            no male asymptomatic        130        126  202.0     0.8
## 5865            no male asymptomatic        130        126  202.0     0.8
## 5866            no male asymptomatic        130        126  202.0     0.8
## 5867            no male asymptomatic        130        126  202.0     0.8
## 5868            no male asymptomatic        130        126  202.0     0.8
## 5869            no male asymptomatic        130        126  202.0     0.8
## 5870            no male asymptomatic        130        126  202.0     0.8
## 5871            no male asymptomatic        130        126  202.0     0.8
## 5872            no male asymptomatic        130        126  202.0     0.8
## 5873            no male asymptomatic        130        126  202.0     0.8
## 5874            no male asymptomatic        130        126  202.0     0.8
## 5875            no male asymptomatic        130        126  202.0     0.8
## 5876            no male asymptomatic        130        126  202.0     0.8
## 5877            no male asymptomatic        130        126  202.0     0.8
## 5878            no male asymptomatic        130        126  202.0     0.8
## 5879            no male asymptomatic        130        126  202.0     0.8
## 5880            no male asymptomatic        130        126  202.0     0.8
## 5881            no male asymptomatic        130        126  202.0     0.8
## 5882            no male asymptomatic        130        126  202.0     0.8
## 5883            no male asymptomatic        130        126  202.0     0.8
## 5884            no male asymptomatic        130        126  202.0     0.8
## 5885            no male asymptomatic        130        126  202.0     0.8
## 5886            no male asymptomatic        130        126  202.0     0.8
## 5887            no male asymptomatic        130        126  202.0     1.6
## 5888            no male asymptomatic        130        126  202.0     1.6
## 5889            no male asymptomatic        130        126  202.0     1.6
## 5890            no male asymptomatic        130        126  202.0     1.6
## 5891            no male asymptomatic        130        126  202.0     1.6
## 5892            no male asymptomatic        130        126  202.0     1.6
## 5893            no male asymptomatic        130        126  202.0     1.6
## 5894            no male asymptomatic        130        126  202.0     1.6
## 5895            no male asymptomatic        130        126  202.0     1.6
## 5896            no male asymptomatic        130        126  202.0     1.6
## 5897            no male asymptomatic        130        126  202.0     1.6
## 5898            no male asymptomatic        130        126  202.0     1.6
## 5899            no male asymptomatic        130        126  202.0     1.6
## 5900            no male asymptomatic        130        126  202.0     1.6
## 5901            no male asymptomatic        130        126  202.0     1.6
## 5902            no male asymptomatic        130        126  202.0     1.6
## 5903            no male asymptomatic        130        126  202.0     1.6
## 5904            no male asymptomatic        130        126  202.0     1.6
## 5905            no male asymptomatic        130        126  202.0     1.6
## 5906            no male asymptomatic        130        126  202.0     1.6
## 5907            no male asymptomatic        130        126  202.0     1.6
## 5908            no male asymptomatic        130        126  202.0     1.6
## 5909            no male asymptomatic        130        126  202.0     1.6
## 5910            no male asymptomatic        130        126  202.0     1.6
## 5911            no male asymptomatic        130        126  202.0     1.6
## 5912            no male asymptomatic        130        126  202.0     1.6
## 5913            no male asymptomatic        130        126  202.0     1.6
## 5914            no male asymptomatic        130        126  202.0     6.2
## 5915            no male asymptomatic        130        126  202.0     6.2
## 5916            no male asymptomatic        130        126  202.0     6.2
## 5917            no male asymptomatic        130        126  202.0     6.2
## 5918            no male asymptomatic        130        126  202.0     6.2
## 5919            no male asymptomatic        130        126  202.0     6.2
## 5920            no male asymptomatic        130        126  202.0     6.2
## 5921            no male asymptomatic        130        126  202.0     6.2
## 5922            no male asymptomatic        130        126  202.0     6.2
## 5923            no male asymptomatic        130        126  202.0     6.2
## 5924            no male asymptomatic        130        126  202.0     6.2
## 5925            no male asymptomatic        130        126  202.0     6.2
## 5926            no male asymptomatic        130        126  202.0     6.2
## 5927            no male asymptomatic        130        126  202.0     6.2
## 5928            no male asymptomatic        130        126  202.0     6.2
## 5929            no male asymptomatic        130        126  202.0     6.2
## 5930            no male asymptomatic        130        126  202.0     6.2
## 5931            no male asymptomatic        130        126  202.0     6.2
## 5932            no male asymptomatic        130        126  202.0     6.2
## 5933            no male asymptomatic        130        126  202.0     6.2
## 5934            no male asymptomatic        130        126  202.0     6.2
## 5935            no male asymptomatic        130        126  202.0     6.2
## 5936            no male asymptomatic        130        126  202.0     6.2
## 5937            no male asymptomatic        130        126  202.0     6.2
## 5938            no male asymptomatic        130        126  202.0     6.2
## 5939            no male asymptomatic        130        126  202.0     6.2
## 5940            no male asymptomatic        130        126  202.0     6.2
## 5941            no male asymptomatic        130        213   71.0     0.0
## 5942            no male asymptomatic        130        213   71.0     0.0
## 5943            no male asymptomatic        130        213   71.0     0.0
## 5944            no male asymptomatic        130        213   71.0     0.0
## 5945            no male asymptomatic        130        213   71.0     0.0
## 5946            no male asymptomatic        130        213   71.0     0.0
## 5947            no male asymptomatic        130        213   71.0     0.0
## 5948            no male asymptomatic        130        213   71.0     0.0
## 5949            no male asymptomatic        130        213   71.0     0.0
## 5950            no male asymptomatic        130        213   71.0     0.0
## 5951            no male asymptomatic        130        213   71.0     0.0
## 5952            no male asymptomatic        130        213   71.0     0.0
## 5953            no male asymptomatic        130        213   71.0     0.0
## 5954            no male asymptomatic        130        213   71.0     0.0
## 5955            no male asymptomatic        130        213   71.0     0.0
## 5956            no male asymptomatic        130        213   71.0     0.0
## 5957            no male asymptomatic        130        213   71.0     0.0
## 5958            no male asymptomatic        130        213   71.0     0.0
## 5959            no male asymptomatic        130        213   71.0     0.0
## 5960            no male asymptomatic        130        213   71.0     0.0
## 5961            no male asymptomatic        130        213   71.0     0.0
## 5962            no male asymptomatic        130        213   71.0     0.0
## 5963            no male asymptomatic        130        213   71.0     0.0
## 5964            no male asymptomatic        130        213   71.0     0.0
## 5965            no male asymptomatic        130        213   71.0     0.0
## 5966            no male asymptomatic        130        213   71.0     0.0
## 5967            no male asymptomatic        130        213   71.0     0.0
## 5968            no male asymptomatic        130        213   71.0     0.8
## 5969            no male asymptomatic        130        213   71.0     0.8
## 5970            no male asymptomatic        130        213   71.0     0.8
## 5971            no male asymptomatic        130        213   71.0     0.8
## 5972            no male asymptomatic        130        213   71.0     0.8
## 5973            no male asymptomatic        130        213   71.0     0.8
## 5974            no male asymptomatic        130        213   71.0     0.8
## 5975            no male asymptomatic        130        213   71.0     0.8
## 5976            no male asymptomatic        130        213   71.0     0.8
## 5977            no male asymptomatic        130        213   71.0     0.8
## 5978            no male asymptomatic        130        213   71.0     0.8
## 5979            no male asymptomatic        130        213   71.0     0.8
## 5980            no male asymptomatic        130        213   71.0     0.8
## 5981            no male asymptomatic        130        213   71.0     0.8
## 5982            no male asymptomatic        130        213   71.0     0.8
## 5983            no male asymptomatic        130        213   71.0     0.8
## 5984            no male asymptomatic        130        213   71.0     0.8
## 5985            no male asymptomatic        130        213   71.0     0.8
## 5986            no male asymptomatic        130        213   71.0     0.8
## 5987            no male asymptomatic        130        213   71.0     0.8
## 5988            no male asymptomatic        130        213   71.0     0.8
## 5989            no male asymptomatic        130        213   71.0     0.8
## 5990            no male asymptomatic        130        213   71.0     0.8
## 5991            no male asymptomatic        130        213   71.0     0.8
## 5992            no male asymptomatic        130        213   71.0     0.8
## 5993            no male asymptomatic        130        213   71.0     0.8
## 5994            no male asymptomatic        130        213   71.0     0.8
## 5995            no male asymptomatic        130        213   71.0     1.6
## 5996            no male asymptomatic        130        213   71.0     1.6
## 5997            no male asymptomatic        130        213   71.0     1.6
## 5998            no male asymptomatic        130        213   71.0     1.6
## 5999            no male asymptomatic        130        213   71.0     1.6
## 6000            no male asymptomatic        130        213   71.0     1.6
## 6001            no male asymptomatic        130        213   71.0     1.6
## 6002            no male asymptomatic        130        213   71.0     1.6
## 6003            no male asymptomatic        130        213   71.0     1.6
## 6004            no male asymptomatic        130        213   71.0     1.6
## 6005            no male asymptomatic        130        213   71.0     1.6
## 6006            no male asymptomatic        130        213   71.0     1.6
## 6007            no male asymptomatic        130        213   71.0     1.6
## 6008            no male asymptomatic        130        213   71.0     1.6
## 6009            no male asymptomatic        130        213   71.0     1.6
## 6010            no male asymptomatic        130        213   71.0     1.6
## 6011            no male asymptomatic        130        213   71.0     1.6
## 6012            no male asymptomatic        130        213   71.0     1.6
## 6013            no male asymptomatic        130        213   71.0     1.6
## 6014            no male asymptomatic        130        213   71.0     1.6
## 6015            no male asymptomatic        130        213   71.0     1.6
## 6016            no male asymptomatic        130        213   71.0     1.6
## 6017            no male asymptomatic        130        213   71.0     1.6
## 6018            no male asymptomatic        130        213   71.0     1.6
## 6019            no male asymptomatic        130        213   71.0     1.6
## 6020            no male asymptomatic        130        213   71.0     1.6
## 6021            no male asymptomatic        130        213   71.0     1.6
## 6022            no male asymptomatic        130        213   71.0     6.2
## 6023            no male asymptomatic        130        213   71.0     6.2
## 6024            no male asymptomatic        130        213   71.0     6.2
## 6025            no male asymptomatic        130        213   71.0     6.2
## 6026            no male asymptomatic        130        213   71.0     6.2
## 6027            no male asymptomatic        130        213   71.0     6.2
## 6028            no male asymptomatic        130        213   71.0     6.2
## 6029            no male asymptomatic        130        213   71.0     6.2
## 6030            no male asymptomatic        130        213   71.0     6.2
## 6031            no male asymptomatic        130        213   71.0     6.2
## 6032            no male asymptomatic        130        213   71.0     6.2
## 6033            no male asymptomatic        130        213   71.0     6.2
## 6034            no male asymptomatic        130        213   71.0     6.2
## 6035            no male asymptomatic        130        213   71.0     6.2
## 6036            no male asymptomatic        130        213   71.0     6.2
## 6037            no male asymptomatic        130        213   71.0     6.2
## 6038            no male asymptomatic        130        213   71.0     6.2
## 6039            no male asymptomatic        130        213   71.0     6.2
## 6040            no male asymptomatic        130        213   71.0     6.2
## 6041            no male asymptomatic        130        213   71.0     6.2
## 6042            no male asymptomatic        130        213   71.0     6.2
## 6043            no male asymptomatic        130        213   71.0     6.2
## 6044            no male asymptomatic        130        213   71.0     6.2
## 6045            no male asymptomatic        130        213   71.0     6.2
## 6046            no male asymptomatic        130        213   71.0     6.2
## 6047            no male asymptomatic        130        213   71.0     6.2
## 6048            no male asymptomatic        130        213   71.0     6.2
## 6049            no male asymptomatic        130        213  133.0     0.0
## 6050            no male asymptomatic        130        213  133.0     0.0
## 6051            no male asymptomatic        130        213  133.0     0.0
## 6052            no male asymptomatic        130        213  133.0     0.0
## 6053            no male asymptomatic        130        213  133.0     0.0
## 6054            no male asymptomatic        130        213  133.0     0.0
## 6055            no male asymptomatic        130        213  133.0     0.0
## 6056            no male asymptomatic        130        213  133.0     0.0
## 6057            no male asymptomatic        130        213  133.0     0.0
## 6058            no male asymptomatic        130        213  133.0     0.0
## 6059            no male asymptomatic        130        213  133.0     0.0
## 6060            no male asymptomatic        130        213  133.0     0.0
## 6061            no male asymptomatic        130        213  133.0     0.0
## 6062            no male asymptomatic        130        213  133.0     0.0
## 6063            no male asymptomatic        130        213  133.0     0.0
## 6064            no male asymptomatic        130        213  133.0     0.0
## 6065            no male asymptomatic        130        213  133.0     0.0
## 6066            no male asymptomatic        130        213  133.0     0.0
## 6067            no male asymptomatic        130        213  133.0     0.0
## 6068            no male asymptomatic        130        213  133.0     0.0
## 6069            no male asymptomatic        130        213  133.0     0.0
## 6070            no male asymptomatic        130        213  133.0     0.0
## 6071            no male asymptomatic        130        213  133.0     0.0
## 6072            no male asymptomatic        130        213  133.0     0.0
## 6073            no male asymptomatic        130        213  133.0     0.0
## 6074            no male asymptomatic        130        213  133.0     0.0
## 6075            no male asymptomatic        130        213  133.0     0.0
## 6076            no male asymptomatic        130        213  133.0     0.8
## 6077            no male asymptomatic        130        213  133.0     0.8
## 6078            no male asymptomatic        130        213  133.0     0.8
## 6079            no male asymptomatic        130        213  133.0     0.8
## 6080            no male asymptomatic        130        213  133.0     0.8
## 6081            no male asymptomatic        130        213  133.0     0.8
## 6082            no male asymptomatic        130        213  133.0     0.8
## 6083            no male asymptomatic        130        213  133.0     0.8
## 6084            no male asymptomatic        130        213  133.0     0.8
## 6085            no male asymptomatic        130        213  133.0     0.8
## 6086            no male asymptomatic        130        213  133.0     0.8
## 6087            no male asymptomatic        130        213  133.0     0.8
## 6088            no male asymptomatic        130        213  133.0     0.8
## 6089            no male asymptomatic        130        213  133.0     0.8
## 6090            no male asymptomatic        130        213  133.0     0.8
## 6091            no male asymptomatic        130        213  133.0     0.8
## 6092            no male asymptomatic        130        213  133.0     0.8
## 6093            no male asymptomatic        130        213  133.0     0.8
## 6094            no male asymptomatic        130        213  133.0     0.8
## 6095            no male asymptomatic        130        213  133.0     0.8
## 6096            no male asymptomatic        130        213  133.0     0.8
## 6097            no male asymptomatic        130        213  133.0     0.8
## 6098            no male asymptomatic        130        213  133.0     0.8
## 6099            no male asymptomatic        130        213  133.0     0.8
## 6100            no male asymptomatic        130        213  133.0     0.8
## 6101            no male asymptomatic        130        213  133.0     0.8
## 6102            no male asymptomatic        130        213  133.0     0.8
## 6103            no male asymptomatic        130        213  133.0     1.6
## 6104            no male asymptomatic        130        213  133.0     1.6
## 6105            no male asymptomatic        130        213  133.0     1.6
## 6106            no male asymptomatic        130        213  133.0     1.6
## 6107            no male asymptomatic        130        213  133.0     1.6
## 6108            no male asymptomatic        130        213  133.0     1.6
## 6109            no male asymptomatic        130        213  133.0     1.6
## 6110            no male asymptomatic        130        213  133.0     1.6
## 6111            no male asymptomatic        130        213  133.0     1.6
## 6112            no male asymptomatic        130        213  133.0     1.6
## 6113            no male asymptomatic        130        213  133.0     1.6
## 6114            no male asymptomatic        130        213  133.0     1.6
## 6115            no male asymptomatic        130        213  133.0     1.6
## 6116            no male asymptomatic        130        213  133.0     1.6
## 6117            no male asymptomatic        130        213  133.0     1.6
## 6118            no male asymptomatic        130        213  133.0     1.6
## 6119            no male asymptomatic        130        213  133.0     1.6
## 6120            no male asymptomatic        130        213  133.0     1.6
## 6121            no male asymptomatic        130        213  133.0     1.6
## 6122            no male asymptomatic        130        213  133.0     1.6
## 6123            no male asymptomatic        130        213  133.0     1.6
## 6124            no male asymptomatic        130        213  133.0     1.6
## 6125            no male asymptomatic        130        213  133.0     1.6
## 6126            no male asymptomatic        130        213  133.0     1.6
## 6127            no male asymptomatic        130        213  133.0     1.6
## 6128            no male asymptomatic        130        213  133.0     1.6
## 6129            no male asymptomatic        130        213  133.0     1.6
## 6130            no male asymptomatic        130        213  133.0     6.2
## 6131            no male asymptomatic        130        213  133.0     6.2
## 6132            no male asymptomatic        130        213  133.0     6.2
## 6133            no male asymptomatic        130        213  133.0     6.2
## 6134            no male asymptomatic        130        213  133.0     6.2
## 6135            no male asymptomatic        130        213  133.0     6.2
## 6136            no male asymptomatic        130        213  133.0     6.2
## 6137            no male asymptomatic        130        213  133.0     6.2
## 6138            no male asymptomatic        130        213  133.0     6.2
## 6139            no male asymptomatic        130        213  133.0     6.2
## 6140            no male asymptomatic        130        213  133.0     6.2
## 6141            no male asymptomatic        130        213  133.0     6.2
## 6142            no male asymptomatic        130        213  133.0     6.2
## 6143            no male asymptomatic        130        213  133.0     6.2
## 6144            no male asymptomatic        130        213  133.0     6.2
## 6145            no male asymptomatic        130        213  133.0     6.2
## 6146            no male asymptomatic        130        213  133.0     6.2
## 6147            no male asymptomatic        130        213  133.0     6.2
## 6148            no male asymptomatic        130        213  133.0     6.2
## 6149            no male asymptomatic        130        213  133.0     6.2
## 6150            no male asymptomatic        130        213  133.0     6.2
## 6151            no male asymptomatic        130        213  133.0     6.2
## 6152            no male asymptomatic        130        213  133.0     6.2
## 6153            no male asymptomatic        130        213  133.0     6.2
## 6154            no male asymptomatic        130        213  133.0     6.2
## 6155            no male asymptomatic        130        213  133.0     6.2
## 6156            no male asymptomatic        130        213  133.0     6.2
## 6157            no male asymptomatic        130        213  153.5     0.0
## 6158            no male asymptomatic        130        213  153.5     0.0
## 6159            no male asymptomatic        130        213  153.5     0.0
## 6160            no male asymptomatic        130        213  153.5     0.0
## 6161            no male asymptomatic        130        213  153.5     0.0
## 6162            no male asymptomatic        130        213  153.5     0.0
## 6163            no male asymptomatic        130        213  153.5     0.0
## 6164            no male asymptomatic        130        213  153.5     0.0
## 6165            no male asymptomatic        130        213  153.5     0.0
## 6166            no male asymptomatic        130        213  153.5     0.0
## 6167            no male asymptomatic        130        213  153.5     0.0
## 6168            no male asymptomatic        130        213  153.5     0.0
## 6169            no male asymptomatic        130        213  153.5     0.0
## 6170            no male asymptomatic        130        213  153.5     0.0
## 6171            no male asymptomatic        130        213  153.5     0.0
## 6172            no male asymptomatic        130        213  153.5     0.0
## 6173            no male asymptomatic        130        213  153.5     0.0
## 6174            no male asymptomatic        130        213  153.5     0.0
## 6175            no male asymptomatic        130        213  153.5     0.0
## 6176            no male asymptomatic        130        213  153.5     0.0
## 6177            no male asymptomatic        130        213  153.5     0.0
## 6178            no male asymptomatic        130        213  153.5     0.0
## 6179            no male asymptomatic        130        213  153.5     0.0
## 6180            no male asymptomatic        130        213  153.5     0.0
## 6181            no male asymptomatic        130        213  153.5     0.0
## 6182            no male asymptomatic        130        213  153.5     0.0
## 6183            no male asymptomatic        130        213  153.5     0.0
## 6184            no male asymptomatic        130        213  153.5     0.8
## 6185            no male asymptomatic        130        213  153.5     0.8
## 6186            no male asymptomatic        130        213  153.5     0.8
## 6187            no male asymptomatic        130        213  153.5     0.8
## 6188            no male asymptomatic        130        213  153.5     0.8
## 6189            no male asymptomatic        130        213  153.5     0.8
## 6190            no male asymptomatic        130        213  153.5     0.8
## 6191            no male asymptomatic        130        213  153.5     0.8
## 6192            no male asymptomatic        130        213  153.5     0.8
## 6193            no male asymptomatic        130        213  153.5     0.8
## 6194            no male asymptomatic        130        213  153.5     0.8
## 6195            no male asymptomatic        130        213  153.5     0.8
## 6196            no male asymptomatic        130        213  153.5     0.8
## 6197            no male asymptomatic        130        213  153.5     0.8
## 6198            no male asymptomatic        130        213  153.5     0.8
## 6199            no male asymptomatic        130        213  153.5     0.8
## 6200            no male asymptomatic        130        213  153.5     0.8
## 6201            no male asymptomatic        130        213  153.5     0.8
## 6202            no male asymptomatic        130        213  153.5     0.8
## 6203            no male asymptomatic        130        213  153.5     0.8
## 6204            no male asymptomatic        130        213  153.5     0.8
## 6205            no male asymptomatic        130        213  153.5     0.8
## 6206            no male asymptomatic        130        213  153.5     0.8
## 6207            no male asymptomatic        130        213  153.5     0.8
## 6208            no male asymptomatic        130        213  153.5     0.8
## 6209            no male asymptomatic        130        213  153.5     0.8
## 6210            no male asymptomatic        130        213  153.5     0.8
## 6211            no male asymptomatic        130        213  153.5     1.6
## 6212            no male asymptomatic        130        213  153.5     1.6
## 6213            no male asymptomatic        130        213  153.5     1.6
## 6214            no male asymptomatic        130        213  153.5     1.6
## 6215            no male asymptomatic        130        213  153.5     1.6
## 6216            no male asymptomatic        130        213  153.5     1.6
## 6217            no male asymptomatic        130        213  153.5     1.6
## 6218            no male asymptomatic        130        213  153.5     1.6
## 6219            no male asymptomatic        130        213  153.5     1.6
## 6220            no male asymptomatic        130        213  153.5     1.6
## 6221            no male asymptomatic        130        213  153.5     1.6
## 6222            no male asymptomatic        130        213  153.5     1.6
## 6223            no male asymptomatic        130        213  153.5     1.6
## 6224            no male asymptomatic        130        213  153.5     1.6
## 6225            no male asymptomatic        130        213  153.5     1.6
## 6226            no male asymptomatic        130        213  153.5     1.6
## 6227            no male asymptomatic        130        213  153.5     1.6
## 6228            no male asymptomatic        130        213  153.5     1.6
## 6229            no male asymptomatic        130        213  153.5     1.6
## 6230            no male asymptomatic        130        213  153.5     1.6
## 6231            no male asymptomatic        130        213  153.5     1.6
## 6232            no male asymptomatic        130        213  153.5     1.6
## 6233            no male asymptomatic        130        213  153.5     1.6
## 6234            no male asymptomatic        130        213  153.5     1.6
## 6235            no male asymptomatic        130        213  153.5     1.6
## 6236            no male asymptomatic        130        213  153.5     1.6
## 6237            no male asymptomatic        130        213  153.5     1.6
## 6238            no male asymptomatic        130        213  153.5     6.2
## 6239            no male asymptomatic        130        213  153.5     6.2
## 6240            no male asymptomatic        130        213  153.5     6.2
## 6241            no male asymptomatic        130        213  153.5     6.2
## 6242            no male asymptomatic        130        213  153.5     6.2
## 6243            no male asymptomatic        130        213  153.5     6.2
## 6244            no male asymptomatic        130        213  153.5     6.2
## 6245            no male asymptomatic        130        213  153.5     6.2
## 6246            no male asymptomatic        130        213  153.5     6.2
## 6247            no male asymptomatic        130        213  153.5     6.2
## 6248            no male asymptomatic        130        213  153.5     6.2
## 6249            no male asymptomatic        130        213  153.5     6.2
##            slope colored       thal
## 1           flat       0     normal
## 2           flat       0 reversible
## 3           flat       0      fixed
## 4           flat       1     normal
## 5           flat       1 reversible
## 6           flat       1      fixed
## 7           flat       3     normal
## 8           flat       3 reversible
## 9           flat       3      fixed
## 10     upsloping       0     normal
## 11     upsloping       0 reversible
## 12     upsloping       0      fixed
## 13     upsloping       1     normal
## 14     upsloping       1 reversible
## 15     upsloping       1      fixed
## 16     upsloping       3     normal
## 17     upsloping       3 reversible
## 18     upsloping       3      fixed
## 19   downsloping       0     normal
## 20   downsloping       0 reversible
## 21   downsloping       0      fixed
## 22   downsloping       1     normal
## 23   downsloping       1 reversible
## 24   downsloping       1      fixed
## 25   downsloping       3     normal
## 26   downsloping       3 reversible
## 27   downsloping       3      fixed
## 28          flat       0     normal
## 29          flat       0 reversible
## 30          flat       0      fixed
## 31          flat       1     normal
## 32          flat       1 reversible
## 33          flat       1      fixed
## 34          flat       3     normal
## 35          flat       3 reversible
## 36          flat       3      fixed
## 37     upsloping       0     normal
## 38     upsloping       0 reversible
## 39     upsloping       0      fixed
## 40     upsloping       1     normal
## 41     upsloping       1 reversible
## 42     upsloping       1      fixed
## 43     upsloping       3     normal
## 44     upsloping       3 reversible
## 45     upsloping       3      fixed
## 46   downsloping       0     normal
## 47   downsloping       0 reversible
## 48   downsloping       0      fixed
## 49   downsloping       1     normal
## 50   downsloping       1 reversible
## 51   downsloping       1      fixed
## 52   downsloping       3     normal
## 53   downsloping       3 reversible
## 54   downsloping       3      fixed
## 55          flat       0     normal
## 56          flat       0 reversible
## 57          flat       0      fixed
## 58          flat       1     normal
## 59          flat       1 reversible
## 60          flat       1      fixed
## 61          flat       3     normal
## 62          flat       3 reversible
## 63          flat       3      fixed
## 64     upsloping       0     normal
## 65     upsloping       0 reversible
## 66     upsloping       0      fixed
## 67     upsloping       1     normal
## 68     upsloping       1 reversible
## 69     upsloping       1      fixed
## 70     upsloping       3     normal
## 71     upsloping       3 reversible
## 72     upsloping       3      fixed
## 73   downsloping       0     normal
## 74   downsloping       0 reversible
## 75   downsloping       0      fixed
## 76   downsloping       1     normal
## 77   downsloping       1 reversible
## 78   downsloping       1      fixed
## 79   downsloping       3     normal
## 80   downsloping       3 reversible
## 81   downsloping       3      fixed
## 82          flat       0     normal
## 83          flat       0 reversible
## 84          flat       0      fixed
## 85          flat       1     normal
## 86          flat       1 reversible
## 87          flat       1      fixed
## 88          flat       3     normal
## 89          flat       3 reversible
## 90          flat       3      fixed
## 91     upsloping       0     normal
## 92     upsloping       0 reversible
## 93     upsloping       0      fixed
## 94     upsloping       1     normal
## 95     upsloping       1 reversible
## 96     upsloping       1      fixed
## 97     upsloping       3     normal
## 98     upsloping       3 reversible
## 99     upsloping       3      fixed
## 100  downsloping       0     normal
## 101  downsloping       0 reversible
## 102  downsloping       0      fixed
## 103  downsloping       1     normal
## 104  downsloping       1 reversible
## 105  downsloping       1      fixed
## 106  downsloping       3     normal
## 107  downsloping       3 reversible
## 108  downsloping       3      fixed
## 109         flat       0     normal
## 110         flat       0 reversible
## 111         flat       0      fixed
## 112         flat       1     normal
## 113         flat       1 reversible
## 114         flat       1      fixed
## 115         flat       3     normal
## 116         flat       3 reversible
## 117         flat       3      fixed
## 118    upsloping       0     normal
## 119    upsloping       0 reversible
## 120    upsloping       0      fixed
## 121    upsloping       1     normal
## 122    upsloping       1 reversible
## 123    upsloping       1      fixed
## 124    upsloping       3     normal
## 125    upsloping       3 reversible
## 126    upsloping       3      fixed
## 127  downsloping       0     normal
## 128  downsloping       0 reversible
## 129  downsloping       0      fixed
## 130  downsloping       1     normal
## 131  downsloping       1 reversible
## 132  downsloping       1      fixed
## 133  downsloping       3     normal
## 134  downsloping       3 reversible
## 135  downsloping       3      fixed
## 136         flat       0     normal
## 137         flat       0 reversible
## 138         flat       0      fixed
## 139         flat       1     normal
## 140         flat       1 reversible
## 141         flat       1      fixed
## 142         flat       3     normal
## 143         flat       3 reversible
## 144         flat       3      fixed
## 145    upsloping       0     normal
## 146    upsloping       0 reversible
## 147    upsloping       0      fixed
## 148    upsloping       1     normal
## 149    upsloping       1 reversible
## 150    upsloping       1      fixed
## 151    upsloping       3     normal
## 152    upsloping       3 reversible
## 153    upsloping       3      fixed
## 154  downsloping       0     normal
## 155  downsloping       0 reversible
## 156  downsloping       0      fixed
## 157  downsloping       1     normal
## 158  downsloping       1 reversible
## 159  downsloping       1      fixed
## 160  downsloping       3     normal
## 161  downsloping       3 reversible
## 162  downsloping       3      fixed
## 163         flat       0     normal
## 164         flat       0 reversible
## 165         flat       0      fixed
## 166         flat       1     normal
## 167         flat       1 reversible
## 168         flat       1      fixed
## 169         flat       3     normal
## 170         flat       3 reversible
## 171         flat       3      fixed
## 172    upsloping       0     normal
## 173    upsloping       0 reversible
## 174    upsloping       0      fixed
## 175    upsloping       1     normal
## 176    upsloping       1 reversible
## 177    upsloping       1      fixed
## 178    upsloping       3     normal
## 179    upsloping       3 reversible
## 180    upsloping       3      fixed
## 181  downsloping       0     normal
## 182  downsloping       0 reversible
## 183  downsloping       0      fixed
## 184  downsloping       1     normal
## 185  downsloping       1 reversible
## 186  downsloping       1      fixed
## 187  downsloping       3     normal
## 188  downsloping       3 reversible
## 189  downsloping       3      fixed
## 190         flat       0     normal
## 191         flat       0 reversible
## 192         flat       0      fixed
## 193         flat       1     normal
## 194         flat       1 reversible
## 195         flat       1      fixed
## 196         flat       3     normal
## 197         flat       3 reversible
## 198         flat       3      fixed
## 199    upsloping       0     normal
## 200    upsloping       0 reversible
## 201    upsloping       0      fixed
## 202    upsloping       1     normal
## 203    upsloping       1 reversible
## 204    upsloping       1      fixed
## 205    upsloping       3     normal
## 206    upsloping       3 reversible
## 207    upsloping       3      fixed
## 208  downsloping       0     normal
## 209  downsloping       0 reversible
## 210  downsloping       0      fixed
## 211  downsloping       1     normal
## 212  downsloping       1 reversible
## 213  downsloping       1      fixed
## 214  downsloping       3     normal
## 215  downsloping       3 reversible
## 216  downsloping       3      fixed
## 217         flat       0     normal
## 218         flat       0 reversible
## 219         flat       0      fixed
## 220         flat       1     normal
## 221         flat       1 reversible
## 222         flat       1      fixed
## 223         flat       3     normal
## 224         flat       3 reversible
## 225         flat       3      fixed
## 226    upsloping       0     normal
## 227    upsloping       0 reversible
## 228    upsloping       0      fixed
## 229    upsloping       1     normal
## 230    upsloping       1 reversible
## 231    upsloping       1      fixed
## 232    upsloping       3     normal
## 233    upsloping       3 reversible
## 234    upsloping       3      fixed
## 235  downsloping       0     normal
## 236  downsloping       0 reversible
## 237  downsloping       0      fixed
## 238  downsloping       1     normal
## 239  downsloping       1 reversible
## 240  downsloping       1      fixed
## 241  downsloping       3     normal
## 242  downsloping       3 reversible
## 243  downsloping       3      fixed
## 244         flat       0     normal
## 245         flat       0 reversible
## 246         flat       0      fixed
## 247         flat       1     normal
## 248         flat       1 reversible
## 249         flat       1      fixed
## 250         flat       3     normal
## 251         flat       3 reversible
## 252         flat       3      fixed
## 253    upsloping       0     normal
## 254    upsloping       0 reversible
## 255    upsloping       0      fixed
## 256    upsloping       1     normal
## 257    upsloping       1 reversible
## 258    upsloping       1      fixed
## 259    upsloping       3     normal
## 260    upsloping       3 reversible
## 261    upsloping       3      fixed
## 262  downsloping       0     normal
## 263  downsloping       0 reversible
## 264  downsloping       0      fixed
## 265  downsloping       1     normal
## 266  downsloping       1 reversible
## 267  downsloping       1      fixed
## 268  downsloping       3     normal
## 269  downsloping       3 reversible
## 270  downsloping       3      fixed
## 271         flat       0     normal
## 272         flat       0 reversible
## 273         flat       0      fixed
## 274         flat       1     normal
## 275         flat       1 reversible
## 276         flat       1      fixed
## 277         flat       3     normal
## 278         flat       3 reversible
## 279         flat       3      fixed
## 280    upsloping       0     normal
## 281    upsloping       0 reversible
## 282    upsloping       0      fixed
## 283    upsloping       1     normal
## 284    upsloping       1 reversible
## 285    upsloping       1      fixed
## 286    upsloping       3     normal
## 287    upsloping       3 reversible
## 288    upsloping       3      fixed
## 289  downsloping       0     normal
## 290  downsloping       0 reversible
## 291  downsloping       0      fixed
## 292  downsloping       1     normal
## 293  downsloping       1 reversible
## 294  downsloping       1      fixed
## 295  downsloping       3     normal
## 296  downsloping       3 reversible
## 297  downsloping       3      fixed
## 298         flat       0     normal
## 299         flat       0 reversible
## 300         flat       0      fixed
## 301         flat       1     normal
## 302         flat       1 reversible
## 303         flat       1      fixed
## 304         flat       3     normal
## 305         flat       3 reversible
## 306         flat       3      fixed
## 307    upsloping       0     normal
## 308    upsloping       0 reversible
## 309    upsloping       0      fixed
## 310    upsloping       1     normal
## 311    upsloping       1 reversible
## 312    upsloping       1      fixed
## 313    upsloping       3     normal
## 314    upsloping       3 reversible
## 315    upsloping       3      fixed
## 316  downsloping       0     normal
## 317  downsloping       0 reversible
## 318  downsloping       0      fixed
## 319  downsloping       1     normal
## 320  downsloping       1 reversible
## 321  downsloping       1      fixed
## 322  downsloping       3     normal
## 323  downsloping       3 reversible
## 324  downsloping       3      fixed
## 325         flat       0     normal
## 326         flat       0 reversible
## 327         flat       0      fixed
## 328         flat       1     normal
## 329         flat       1 reversible
## 330         flat       1      fixed
## 331         flat       3     normal
## 332         flat       3 reversible
## 333         flat       3      fixed
## 334    upsloping       0     normal
## 335    upsloping       0 reversible
## 336    upsloping       0      fixed
## 337    upsloping       1     normal
## 338    upsloping       1 reversible
## 339    upsloping       1      fixed
## 340    upsloping       3     normal
## 341    upsloping       3 reversible
## 342    upsloping       3      fixed
## 343  downsloping       0     normal
## 344  downsloping       0 reversible
## 345  downsloping       0      fixed
## 346  downsloping       1     normal
## 347  downsloping       1 reversible
## 348  downsloping       1      fixed
## 349  downsloping       3     normal
## 350  downsloping       3 reversible
## 351  downsloping       3      fixed
## 352         flat       0     normal
## 353         flat       0 reversible
## 354         flat       0      fixed
## 355         flat       1     normal
## 356         flat       1 reversible
## 357         flat       1      fixed
## 358         flat       3     normal
## 359         flat       3 reversible
## 360         flat       3      fixed
## 361    upsloping       0     normal
## 362    upsloping       0 reversible
## 363    upsloping       0      fixed
## 364    upsloping       1     normal
## 365    upsloping       1 reversible
## 366    upsloping       1      fixed
## 367    upsloping       3     normal
## 368    upsloping       3 reversible
## 369    upsloping       3      fixed
## 370  downsloping       0     normal
## 371  downsloping       0 reversible
## 372  downsloping       0      fixed
## 373  downsloping       1     normal
## 374  downsloping       1 reversible
## 375  downsloping       1      fixed
## 376  downsloping       3     normal
## 377  downsloping       3 reversible
## 378  downsloping       3      fixed
## 379         flat       0     normal
## 380         flat       0 reversible
## 381         flat       0      fixed
## 382         flat       1     normal
## 383         flat       1 reversible
## 384         flat       1      fixed
## 385         flat       3     normal
## 386         flat       3 reversible
## 387         flat       3      fixed
## 388    upsloping       0     normal
## 389    upsloping       0 reversible
## 390    upsloping       0      fixed
## 391    upsloping       1     normal
## 392    upsloping       1 reversible
## 393    upsloping       1      fixed
## 394    upsloping       3     normal
## 395    upsloping       3 reversible
## 396    upsloping       3      fixed
## 397  downsloping       0     normal
## 398  downsloping       0 reversible
## 399  downsloping       0      fixed
## 400  downsloping       1     normal
## 401  downsloping       1 reversible
## 402  downsloping       1      fixed
## 403  downsloping       3     normal
## 404  downsloping       3 reversible
## 405  downsloping       3      fixed
## 406         flat       0     normal
## 407         flat       0 reversible
## 408         flat       0      fixed
## 409         flat       1     normal
## 410         flat       1 reversible
## 411         flat       1      fixed
## 412         flat       3     normal
## 413         flat       3 reversible
## 414         flat       3      fixed
## 415    upsloping       0     normal
## 416    upsloping       0 reversible
## 417    upsloping       0      fixed
## 418    upsloping       1     normal
## 419    upsloping       1 reversible
## 420    upsloping       1      fixed
## 421    upsloping       3     normal
## 422    upsloping       3 reversible
## 423    upsloping       3      fixed
## 424  downsloping       0     normal
## 425  downsloping       0 reversible
## 426  downsloping       0      fixed
## 427  downsloping       1     normal
## 428  downsloping       1 reversible
## 429  downsloping       1      fixed
## 430  downsloping       3     normal
## 431  downsloping       3 reversible
## 432  downsloping       3      fixed
## 433         flat       0     normal
## 434         flat       0 reversible
## 435         flat       0      fixed
## 436         flat       1     normal
## 437         flat       1 reversible
## 438         flat       1      fixed
## 439         flat       3     normal
## 440         flat       3 reversible
## 441         flat       3      fixed
## 442    upsloping       0     normal
## 443    upsloping       0 reversible
## 444    upsloping       0      fixed
## 445    upsloping       1     normal
## 446    upsloping       1 reversible
## 447    upsloping       1      fixed
## 448    upsloping       3     normal
## 449    upsloping       3 reversible
## 450    upsloping       3      fixed
## 451  downsloping       0     normal
## 452  downsloping       0 reversible
## 453  downsloping       0      fixed
## 454  downsloping       1     normal
## 455  downsloping       1 reversible
## 456  downsloping       1      fixed
## 457  downsloping       3     normal
## 458  downsloping       3 reversible
## 459  downsloping       3      fixed
## 460         flat       0     normal
## 461         flat       0 reversible
## 462         flat       0      fixed
## 463         flat       1     normal
## 464         flat       1 reversible
## 465         flat       1      fixed
## 466         flat       3     normal
## 467         flat       3 reversible
## 468         flat       3      fixed
## 469    upsloping       0     normal
## 470    upsloping       0 reversible
## 471    upsloping       0      fixed
## 472    upsloping       1     normal
## 473    upsloping       1 reversible
## 474    upsloping       1      fixed
## 475    upsloping       3     normal
## 476    upsloping       3 reversible
## 477    upsloping       3      fixed
## 478  downsloping       0     normal
## 479  downsloping       0 reversible
## 480  downsloping       0      fixed
## 481  downsloping       1     normal
## 482  downsloping       1 reversible
## 483  downsloping       1      fixed
## 484  downsloping       3     normal
## 485  downsloping       3 reversible
## 486  downsloping       3      fixed
## 487         flat       0     normal
## 488         flat       0 reversible
## 489         flat       0      fixed
## 490         flat       1     normal
## 491         flat       1 reversible
## 492         flat       1      fixed
## 493         flat       3     normal
## 494         flat       3 reversible
## 495         flat       3      fixed
## 496    upsloping       0     normal
## 497    upsloping       0 reversible
## 498    upsloping       0      fixed
## 499    upsloping       1     normal
## 500    upsloping       1 reversible
## 501    upsloping       1      fixed
## 502    upsloping       3     normal
## 503    upsloping       3 reversible
## 504    upsloping       3      fixed
## 505  downsloping       0     normal
## 506  downsloping       0 reversible
## 507  downsloping       0      fixed
## 508  downsloping       1     normal
## 509  downsloping       1 reversible
## 510  downsloping       1      fixed
## 511  downsloping       3     normal
## 512  downsloping       3 reversible
## 513  downsloping       3      fixed
## 514         flat       0     normal
## 515         flat       0 reversible
## 516         flat       0      fixed
## 517         flat       1     normal
## 518         flat       1 reversible
## 519         flat       1      fixed
## 520         flat       3     normal
## 521         flat       3 reversible
## 522         flat       3      fixed
## 523    upsloping       0     normal
## 524    upsloping       0 reversible
## 525    upsloping       0      fixed
## 526    upsloping       1     normal
## 527    upsloping       1 reversible
## 528    upsloping       1      fixed
## 529    upsloping       3     normal
## 530    upsloping       3 reversible
## 531    upsloping       3      fixed
## 532  downsloping       0     normal
## 533  downsloping       0 reversible
## 534  downsloping       0      fixed
## 535  downsloping       1     normal
## 536  downsloping       1 reversible
## 537  downsloping       1      fixed
## 538  downsloping       3     normal
## 539  downsloping       3 reversible
## 540  downsloping       3      fixed
## 541         flat       0     normal
## 542         flat       0 reversible
## 543         flat       0      fixed
## 544         flat       1     normal
## 545         flat       1 reversible
## 546         flat       1      fixed
## 547         flat       3     normal
## 548         flat       3 reversible
## 549         flat       3      fixed
## 550    upsloping       0     normal
## 551    upsloping       0 reversible
## 552    upsloping       0      fixed
## 553    upsloping       1     normal
## 554    upsloping       1 reversible
## 555    upsloping       1      fixed
## 556    upsloping       3     normal
## 557    upsloping       3 reversible
## 558    upsloping       3      fixed
## 559  downsloping       0     normal
## 560  downsloping       0 reversible
## 561  downsloping       0      fixed
## 562  downsloping       1     normal
## 563  downsloping       1 reversible
## 564  downsloping       1      fixed
## 565  downsloping       3     normal
## 566  downsloping       3 reversible
## 567  downsloping       3      fixed
## 568         flat       0     normal
## 569         flat       0 reversible
## 570         flat       0      fixed
## 571         flat       1     normal
## 572         flat       1 reversible
## 573         flat       1      fixed
## 574         flat       3     normal
## 575         flat       3 reversible
## 576         flat       3      fixed
## 577    upsloping       0     normal
## 578    upsloping       0 reversible
## 579    upsloping       0      fixed
## 580    upsloping       1     normal
## 581    upsloping       1 reversible
## 582    upsloping       1      fixed
## 583    upsloping       3     normal
## 584    upsloping       3 reversible
## 585    upsloping       3      fixed
## 586  downsloping       0     normal
## 587  downsloping       0 reversible
## 588  downsloping       0      fixed
## 589  downsloping       1     normal
## 590  downsloping       1 reversible
## 591  downsloping       1      fixed
## 592  downsloping       3     normal
## 593  downsloping       3 reversible
## 594  downsloping       3      fixed
## 595         flat       0     normal
## 596         flat       0 reversible
## 597         flat       0      fixed
## 598         flat       1     normal
## 599         flat       1 reversible
## 600         flat       1      fixed
## 601         flat       3     normal
## 602         flat       3 reversible
## 603         flat       3      fixed
## 604    upsloping       0     normal
## 605    upsloping       0 reversible
## 606    upsloping       0      fixed
## 607    upsloping       1     normal
## 608    upsloping       1 reversible
## 609    upsloping       1      fixed
## 610    upsloping       3     normal
## 611    upsloping       3 reversible
## 612    upsloping       3      fixed
## 613  downsloping       0     normal
## 614  downsloping       0 reversible
## 615  downsloping       0      fixed
## 616  downsloping       1     normal
## 617  downsloping       1 reversible
## 618  downsloping       1      fixed
## 619  downsloping       3     normal
## 620  downsloping       3 reversible
## 621  downsloping       3      fixed
## 622         flat       0     normal
## 623         flat       0 reversible
## 624         flat       0      fixed
## 625         flat       1     normal
## 626         flat       1 reversible
## 627         flat       1      fixed
## 628         flat       3     normal
## 629         flat       3 reversible
## 630         flat       3      fixed
## 631    upsloping       0     normal
## 632    upsloping       0 reversible
## 633    upsloping       0      fixed
## 634    upsloping       1     normal
## 635    upsloping       1 reversible
## 636    upsloping       1      fixed
## 637    upsloping       3     normal
## 638    upsloping       3 reversible
## 639    upsloping       3      fixed
## 640  downsloping       0     normal
## 641  downsloping       0 reversible
## 642  downsloping       0      fixed
## 643  downsloping       1     normal
## 644  downsloping       1 reversible
## 645  downsloping       1      fixed
## 646  downsloping       3     normal
## 647  downsloping       3 reversible
## 648  downsloping       3      fixed
## 649         flat       0     normal
## 650         flat       0 reversible
## 651         flat       0      fixed
## 652         flat       1     normal
## 653         flat       1 reversible
## 654         flat       1      fixed
## 655         flat       3     normal
## 656         flat       3 reversible
## 657         flat       3      fixed
## 658    upsloping       0     normal
## 659    upsloping       0 reversible
## 660    upsloping       0      fixed
## 661    upsloping       1     normal
## 662    upsloping       1 reversible
## 663    upsloping       1      fixed
## 664    upsloping       3     normal
## 665    upsloping       3 reversible
## 666    upsloping       3      fixed
## 667  downsloping       0     normal
## 668  downsloping       0 reversible
## 669  downsloping       0      fixed
## 670  downsloping       1     normal
## 671  downsloping       1 reversible
## 672  downsloping       1      fixed
## 673  downsloping       3     normal
## 674  downsloping       3 reversible
## 675  downsloping       3      fixed
## 676         flat       0     normal
## 677         flat       0 reversible
## 678         flat       0      fixed
## 679         flat       1     normal
## 680         flat       1 reversible
## 681         flat       1      fixed
## 682         flat       3     normal
## 683         flat       3 reversible
## 684         flat       3      fixed
## 685    upsloping       0     normal
## 686    upsloping       0 reversible
## 687    upsloping       0      fixed
## 688    upsloping       1     normal
## 689    upsloping       1 reversible
## 690    upsloping       1      fixed
## 691    upsloping       3     normal
## 692    upsloping       3 reversible
## 693    upsloping       3      fixed
## 694  downsloping       0     normal
## 695  downsloping       0 reversible
## 696  downsloping       0      fixed
## 697  downsloping       1     normal
## 698  downsloping       1 reversible
## 699  downsloping       1      fixed
## 700  downsloping       3     normal
## 701  downsloping       3 reversible
## 702  downsloping       3      fixed
## 703         flat       0     normal
## 704         flat       0 reversible
## 705         flat       0      fixed
## 706         flat       1     normal
## 707         flat       1 reversible
## 708         flat       1      fixed
## 709         flat       3     normal
## 710         flat       3 reversible
## 711         flat       3      fixed
## 712    upsloping       0     normal
## 713    upsloping       0 reversible
## 714    upsloping       0      fixed
## 715    upsloping       1     normal
## 716    upsloping       1 reversible
## 717    upsloping       1      fixed
## 718    upsloping       3     normal
## 719    upsloping       3 reversible
## 720    upsloping       3      fixed
## 721  downsloping       0     normal
## 722  downsloping       0 reversible
## 723  downsloping       0      fixed
## 724  downsloping       1     normal
## 725  downsloping       1 reversible
## 726  downsloping       1      fixed
## 727  downsloping       3     normal
## 728  downsloping       3 reversible
## 729  downsloping       3      fixed
## 730         flat       0     normal
## 731         flat       0 reversible
## 732         flat       0      fixed
## 733         flat       1     normal
## 734         flat       1 reversible
## 735         flat       1      fixed
## 736         flat       3     normal
## 737         flat       3 reversible
## 738         flat       3      fixed
## 739    upsloping       0     normal
## 740    upsloping       0 reversible
## 741    upsloping       0      fixed
## 742    upsloping       1     normal
## 743    upsloping       1 reversible
## 744    upsloping       1      fixed
## 745    upsloping       3     normal
## 746    upsloping       3 reversible
## 747    upsloping       3      fixed
## 748  downsloping       0     normal
## 749  downsloping       0 reversible
## 750  downsloping       0      fixed
## 751  downsloping       1     normal
## 752  downsloping       1 reversible
## 753  downsloping       1      fixed
## 754  downsloping       3     normal
## 755  downsloping       3 reversible
## 756  downsloping       3      fixed
## 757         flat       0     normal
## 758         flat       0 reversible
## 759         flat       0      fixed
## 760         flat       1     normal
## 761         flat       1 reversible
## 762         flat       1      fixed
## 763         flat       3     normal
## 764         flat       3 reversible
## 765         flat       3      fixed
## 766    upsloping       0     normal
## 767    upsloping       0 reversible
## 768    upsloping       0      fixed
## 769    upsloping       1     normal
## 770    upsloping       1 reversible
## 771    upsloping       1      fixed
## 772    upsloping       3     normal
## 773    upsloping       3 reversible
## 774    upsloping       3      fixed
## 775  downsloping       0     normal
## 776  downsloping       0 reversible
## 777  downsloping       0      fixed
## 778  downsloping       1     normal
## 779  downsloping       1 reversible
## 780  downsloping       1      fixed
## 781  downsloping       3     normal
## 782  downsloping       3 reversible
## 783  downsloping       3      fixed
## 784         flat       0     normal
## 785         flat       0 reversible
## 786         flat       0      fixed
## 787         flat       1     normal
## 788         flat       1 reversible
## 789         flat       1      fixed
## 790         flat       3     normal
## 791         flat       3 reversible
## 792         flat       3      fixed
## 793    upsloping       0     normal
## 794    upsloping       0 reversible
## 795    upsloping       0      fixed
## 796    upsloping       1     normal
## 797    upsloping       1 reversible
## 798    upsloping       1      fixed
## 799    upsloping       3     normal
## 800    upsloping       3 reversible
## 801    upsloping       3      fixed
## 802  downsloping       0     normal
## 803  downsloping       0 reversible
## 804  downsloping       0      fixed
## 805  downsloping       1     normal
## 806  downsloping       1 reversible
## 807  downsloping       1      fixed
## 808  downsloping       3     normal
## 809  downsloping       3 reversible
## 810  downsloping       3      fixed
## 811         flat       0     normal
## 812         flat       0 reversible
## 813         flat       0      fixed
## 814         flat       1     normal
## 815         flat       1 reversible
## 816         flat       1      fixed
## 817         flat       3     normal
## 818         flat       3 reversible
## 819         flat       3      fixed
## 820    upsloping       0     normal
## 821    upsloping       0 reversible
## 822    upsloping       0      fixed
## 823    upsloping       1     normal
## 824    upsloping       1 reversible
## 825    upsloping       1      fixed
## 826    upsloping       3     normal
## 827    upsloping       3 reversible
## 828    upsloping       3      fixed
## 829  downsloping       0     normal
## 830  downsloping       0 reversible
## 831  downsloping       0      fixed
## 832  downsloping       1     normal
## 833  downsloping       1 reversible
## 834  downsloping       1      fixed
## 835  downsloping       3     normal
## 836  downsloping       3 reversible
## 837  downsloping       3      fixed
## 838         flat       0     normal
## 839         flat       0 reversible
## 840         flat       0      fixed
## 841         flat       1     normal
## 842         flat       1 reversible
## 843         flat       1      fixed
## 844         flat       3     normal
## 845         flat       3 reversible
## 846         flat       3      fixed
## 847    upsloping       0     normal
## 848    upsloping       0 reversible
## 849    upsloping       0      fixed
## 850    upsloping       1     normal
## 851    upsloping       1 reversible
## 852    upsloping       1      fixed
## 853    upsloping       3     normal
## 854    upsloping       3 reversible
## 855    upsloping       3      fixed
## 856  downsloping       0     normal
## 857  downsloping       0 reversible
## 858  downsloping       0      fixed
## 859  downsloping       1     normal
## 860  downsloping       1 reversible
## 861  downsloping       1      fixed
## 862  downsloping       3     normal
## 863  downsloping       3 reversible
## 864  downsloping       3      fixed
## 865         flat       0     normal
## 866         flat       0 reversible
## 867         flat       0      fixed
## 868         flat       1     normal
## 869         flat       1 reversible
## 870         flat       1      fixed
## 871         flat       3     normal
## 872         flat       3 reversible
## 873         flat       3      fixed
## 874    upsloping       0     normal
## 875    upsloping       0 reversible
## 876    upsloping       0      fixed
## 877    upsloping       1     normal
## 878    upsloping       1 reversible
## 879    upsloping       1      fixed
## 880    upsloping       3     normal
## 881    upsloping       3 reversible
## 882    upsloping       3      fixed
## 883  downsloping       0     normal
## 884  downsloping       0 reversible
## 885  downsloping       0      fixed
## 886  downsloping       1     normal
## 887  downsloping       1 reversible
## 888  downsloping       1      fixed
## 889  downsloping       3     normal
## 890  downsloping       3 reversible
## 891  downsloping       3      fixed
## 892         flat       0     normal
## 893         flat       0 reversible
## 894         flat       0      fixed
## 895         flat       1     normal
## 896         flat       1 reversible
## 897         flat       1      fixed
## 898         flat       3     normal
## 899         flat       3 reversible
## 900         flat       3      fixed
## 901    upsloping       0     normal
## 902    upsloping       0 reversible
## 903    upsloping       0      fixed
## 904    upsloping       1     normal
## 905    upsloping       1 reversible
## 906    upsloping       1      fixed
## 907    upsloping       3     normal
## 908    upsloping       3 reversible
## 909    upsloping       3      fixed
## 910  downsloping       0     normal
## 911  downsloping       0 reversible
## 912  downsloping       0      fixed
## 913  downsloping       1     normal
## 914  downsloping       1 reversible
## 915  downsloping       1      fixed
## 916  downsloping       3     normal
## 917  downsloping       3 reversible
## 918  downsloping       3      fixed
## 919         flat       0     normal
## 920         flat       0 reversible
## 921         flat       0      fixed
## 922         flat       1     normal
## 923         flat       1 reversible
## 924         flat       1      fixed
## 925         flat       3     normal
## 926         flat       3 reversible
## 927         flat       3      fixed
## 928    upsloping       0     normal
## 929    upsloping       0 reversible
## 930    upsloping       0      fixed
## 931    upsloping       1     normal
## 932    upsloping       1 reversible
## 933    upsloping       1      fixed
## 934    upsloping       3     normal
## 935    upsloping       3 reversible
## 936    upsloping       3      fixed
## 937  downsloping       0     normal
## 938  downsloping       0 reversible
## 939  downsloping       0      fixed
## 940  downsloping       1     normal
## 941  downsloping       1 reversible
## 942  downsloping       1      fixed
## 943  downsloping       3     normal
## 944  downsloping       3 reversible
## 945  downsloping       3      fixed
## 946         flat       0     normal
## 947         flat       0 reversible
## 948         flat       0      fixed
## 949         flat       1     normal
## 950         flat       1 reversible
## 951         flat       1      fixed
## 952         flat       3     normal
## 953         flat       3 reversible
## 954         flat       3      fixed
## 955    upsloping       0     normal
## 956    upsloping       0 reversible
## 957    upsloping       0      fixed
## 958    upsloping       1     normal
## 959    upsloping       1 reversible
## 960    upsloping       1      fixed
## 961    upsloping       3     normal
## 962    upsloping       3 reversible
## 963    upsloping       3      fixed
## 964  downsloping       0     normal
## 965  downsloping       0 reversible
## 966  downsloping       0      fixed
## 967  downsloping       1     normal
## 968  downsloping       1 reversible
## 969  downsloping       1      fixed
## 970  downsloping       3     normal
## 971  downsloping       3 reversible
## 972  downsloping       3      fixed
## 973         flat       0     normal
## 974         flat       0 reversible
## 975         flat       0      fixed
## 976         flat       1     normal
## 977         flat       1 reversible
## 978         flat       1      fixed
## 979         flat       3     normal
## 980         flat       3 reversible
## 981         flat       3      fixed
## 982    upsloping       0     normal
## 983    upsloping       0 reversible
## 984    upsloping       0      fixed
## 985    upsloping       1     normal
## 986    upsloping       1 reversible
## 987    upsloping       1      fixed
## 988    upsloping       3     normal
## 989    upsloping       3 reversible
## 990    upsloping       3      fixed
## 991  downsloping       0     normal
## 992  downsloping       0 reversible
## 993  downsloping       0      fixed
## 994  downsloping       1     normal
## 995  downsloping       1 reversible
## 996  downsloping       1      fixed
## 997  downsloping       3     normal
## 998  downsloping       3 reversible
## 999  downsloping       3      fixed
## 1000        flat       0     normal
## 1001        flat       0 reversible
## 1002        flat       0      fixed
## 1003        flat       1     normal
## 1004        flat       1 reversible
## 1005        flat       1      fixed
## 1006        flat       3     normal
## 1007        flat       3 reversible
## 1008        flat       3      fixed
## 1009   upsloping       0     normal
## 1010   upsloping       0 reversible
## 1011   upsloping       0      fixed
## 1012   upsloping       1     normal
## 1013   upsloping       1 reversible
## 1014   upsloping       1      fixed
## 1015   upsloping       3     normal
## 1016   upsloping       3 reversible
## 1017   upsloping       3      fixed
## 1018 downsloping       0     normal
## 1019 downsloping       0 reversible
## 1020 downsloping       0      fixed
## 1021 downsloping       1     normal
## 1022 downsloping       1 reversible
## 1023 downsloping       1      fixed
## 1024 downsloping       3     normal
## 1025 downsloping       3 reversible
## 1026 downsloping       3      fixed
## 1027        flat       0     normal
## 1028        flat       0 reversible
## 1029        flat       0      fixed
## 1030        flat       1     normal
## 1031        flat       1 reversible
## 1032        flat       1      fixed
## 1033        flat       3     normal
## 1034        flat       3 reversible
## 1035        flat       3      fixed
## 1036   upsloping       0     normal
## 1037   upsloping       0 reversible
## 1038   upsloping       0      fixed
## 1039   upsloping       1     normal
## 1040   upsloping       1 reversible
## 1041   upsloping       1      fixed
## 1042   upsloping       3     normal
## 1043   upsloping       3 reversible
## 1044   upsloping       3      fixed
## 1045 downsloping       0     normal
## 1046 downsloping       0 reversible
## 1047 downsloping       0      fixed
## 1048 downsloping       1     normal
## 1049 downsloping       1 reversible
## 1050 downsloping       1      fixed
## 1051 downsloping       3     normal
## 1052 downsloping       3 reversible
## 1053 downsloping       3      fixed
## 1054        flat       0     normal
## 1055        flat       0 reversible
## 1056        flat       0      fixed
## 1057        flat       1     normal
## 1058        flat       1 reversible
## 1059        flat       1      fixed
## 1060        flat       3     normal
## 1061        flat       3 reversible
## 1062        flat       3      fixed
## 1063   upsloping       0     normal
## 1064   upsloping       0 reversible
## 1065   upsloping       0      fixed
## 1066   upsloping       1     normal
## 1067   upsloping       1 reversible
## 1068   upsloping       1      fixed
## 1069   upsloping       3     normal
## 1070   upsloping       3 reversible
## 1071   upsloping       3      fixed
## 1072 downsloping       0     normal
## 1073 downsloping       0 reversible
## 1074 downsloping       0      fixed
## 1075 downsloping       1     normal
## 1076 downsloping       1 reversible
## 1077 downsloping       1      fixed
## 1078 downsloping       3     normal
## 1079 downsloping       3 reversible
## 1080 downsloping       3      fixed
## 1081        flat       0     normal
## 1082        flat       0 reversible
## 1083        flat       0      fixed
## 1084        flat       1     normal
## 1085        flat       1 reversible
## 1086        flat       1      fixed
## 1087        flat       3     normal
## 1088        flat       3 reversible
## 1089        flat       3      fixed
## 1090   upsloping       0     normal
## 1091   upsloping       0 reversible
## 1092   upsloping       0      fixed
## 1093   upsloping       1     normal
## 1094   upsloping       1 reversible
## 1095   upsloping       1      fixed
## 1096   upsloping       3     normal
## 1097   upsloping       3 reversible
## 1098   upsloping       3      fixed
## 1099 downsloping       0     normal
## 1100 downsloping       0 reversible
## 1101 downsloping       0      fixed
## 1102 downsloping       1     normal
## 1103 downsloping       1 reversible
## 1104 downsloping       1      fixed
## 1105 downsloping       3     normal
## 1106 downsloping       3 reversible
## 1107 downsloping       3      fixed
## 1108        flat       0     normal
## 1109        flat       0 reversible
## 1110        flat       0      fixed
## 1111        flat       1     normal
## 1112        flat       1 reversible
## 1113        flat       1      fixed
## 1114        flat       3     normal
## 1115        flat       3 reversible
## 1116        flat       3      fixed
## 1117   upsloping       0     normal
## 1118   upsloping       0 reversible
## 1119   upsloping       0      fixed
## 1120   upsloping       1     normal
## 1121   upsloping       1 reversible
## 1122   upsloping       1      fixed
## 1123   upsloping       3     normal
## 1124   upsloping       3 reversible
## 1125   upsloping       3      fixed
## 1126 downsloping       0     normal
## 1127 downsloping       0 reversible
## 1128 downsloping       0      fixed
## 1129 downsloping       1     normal
## 1130 downsloping       1 reversible
## 1131 downsloping       1      fixed
## 1132 downsloping       3     normal
## 1133 downsloping       3 reversible
## 1134 downsloping       3      fixed
## 1135        flat       0     normal
## 1136        flat       0 reversible
## 1137        flat       0      fixed
## 1138        flat       1     normal
## 1139        flat       1 reversible
## 1140        flat       1      fixed
## 1141        flat       3     normal
## 1142        flat       3 reversible
## 1143        flat       3      fixed
## 1144   upsloping       0     normal
## 1145   upsloping       0 reversible
## 1146   upsloping       0      fixed
## 1147   upsloping       1     normal
## 1148   upsloping       1 reversible
## 1149   upsloping       1      fixed
## 1150   upsloping       3     normal
## 1151   upsloping       3 reversible
## 1152   upsloping       3      fixed
## 1153 downsloping       0     normal
## 1154 downsloping       0 reversible
## 1155 downsloping       0      fixed
## 1156 downsloping       1     normal
## 1157 downsloping       1 reversible
## 1158 downsloping       1      fixed
## 1159 downsloping       3     normal
## 1160 downsloping       3 reversible
## 1161 downsloping       3      fixed
## 1162        flat       0     normal
## 1163        flat       0 reversible
## 1164        flat       0      fixed
## 1165        flat       1     normal
## 1166        flat       1 reversible
## 1167        flat       1      fixed
## 1168        flat       3     normal
## 1169        flat       3 reversible
## 1170        flat       3      fixed
## 1171   upsloping       0     normal
## 1172   upsloping       0 reversible
## 1173   upsloping       0      fixed
## 1174   upsloping       1     normal
## 1175   upsloping       1 reversible
## 1176   upsloping       1      fixed
## 1177   upsloping       3     normal
## 1178   upsloping       3 reversible
## 1179   upsloping       3      fixed
## 1180 downsloping       0     normal
## 1181 downsloping       0 reversible
## 1182 downsloping       0      fixed
## 1183 downsloping       1     normal
## 1184 downsloping       1 reversible
## 1185 downsloping       1      fixed
## 1186 downsloping       3     normal
## 1187 downsloping       3 reversible
## 1188 downsloping       3      fixed
## 1189        flat       0     normal
## 1190        flat       0 reversible
## 1191        flat       0      fixed
## 1192        flat       1     normal
## 1193        flat       1 reversible
## 1194        flat       1      fixed
## 1195        flat       3     normal
## 1196        flat       3 reversible
## 1197        flat       3      fixed
## 1198   upsloping       0     normal
## 1199   upsloping       0 reversible
## 1200   upsloping       0      fixed
## 1201   upsloping       1     normal
## 1202   upsloping       1 reversible
## 1203   upsloping       1      fixed
## 1204   upsloping       3     normal
## 1205   upsloping       3 reversible
## 1206   upsloping       3      fixed
## 1207 downsloping       0     normal
## 1208 downsloping       0 reversible
## 1209 downsloping       0      fixed
## 1210 downsloping       1     normal
## 1211 downsloping       1 reversible
## 1212 downsloping       1      fixed
## 1213 downsloping       3     normal
## 1214 downsloping       3 reversible
## 1215 downsloping       3      fixed
## 1216        flat       0     normal
## 1217        flat       0 reversible
## 1218        flat       0      fixed
## 1219        flat       1     normal
## 1220        flat       1 reversible
## 1221        flat       1      fixed
## 1222        flat       3     normal
## 1223        flat       3 reversible
## 1224        flat       3      fixed
## 1225   upsloping       0     normal
## 1226   upsloping       0 reversible
## 1227   upsloping       0      fixed
## 1228   upsloping       1     normal
## 1229   upsloping       1 reversible
## 1230   upsloping       1      fixed
## 1231   upsloping       3     normal
## 1232   upsloping       3 reversible
## 1233   upsloping       3      fixed
## 1234 downsloping       0     normal
## 1235 downsloping       0 reversible
## 1236 downsloping       0      fixed
## 1237 downsloping       1     normal
## 1238 downsloping       1 reversible
## 1239 downsloping       1      fixed
## 1240 downsloping       3     normal
## 1241 downsloping       3 reversible
## 1242 downsloping       3      fixed
## 1243        flat       0     normal
## 1244        flat       0 reversible
## 1245        flat       0      fixed
## 1246        flat       1     normal
## 1247        flat       1 reversible
## 1248        flat       1      fixed
## 1249        flat       3     normal
## 1250        flat       3 reversible
## 1251        flat       3      fixed
## 1252   upsloping       0     normal
## 1253   upsloping       0 reversible
## 1254   upsloping       0      fixed
## 1255   upsloping       1     normal
## 1256   upsloping       1 reversible
## 1257   upsloping       1      fixed
## 1258   upsloping       3     normal
## 1259   upsloping       3 reversible
## 1260   upsloping       3      fixed
## 1261 downsloping       0     normal
## 1262 downsloping       0 reversible
## 1263 downsloping       0      fixed
## 1264 downsloping       1     normal
## 1265 downsloping       1 reversible
## 1266 downsloping       1      fixed
## 1267 downsloping       3     normal
## 1268 downsloping       3 reversible
## 1269 downsloping       3      fixed
## 1270        flat       0     normal
## 1271        flat       0 reversible
## 1272        flat       0      fixed
## 1273        flat       1     normal
## 1274        flat       1 reversible
## 1275        flat       1      fixed
## 1276        flat       3     normal
## 1277        flat       3 reversible
## 1278        flat       3      fixed
## 1279   upsloping       0     normal
## 1280   upsloping       0 reversible
## 1281   upsloping       0      fixed
## 1282   upsloping       1     normal
## 1283   upsloping       1 reversible
## 1284   upsloping       1      fixed
## 1285   upsloping       3     normal
## 1286   upsloping       3 reversible
## 1287   upsloping       3      fixed
## 1288 downsloping       0     normal
## 1289 downsloping       0 reversible
## 1290 downsloping       0      fixed
## 1291 downsloping       1     normal
## 1292 downsloping       1 reversible
## 1293 downsloping       1      fixed
## 1294 downsloping       3     normal
## 1295 downsloping       3 reversible
## 1296 downsloping       3      fixed
## 1297        flat       0     normal
## 1298        flat       0 reversible
## 1299        flat       0      fixed
## 1300        flat       1     normal
## 1301        flat       1 reversible
## 1302        flat       1      fixed
## 1303        flat       3     normal
## 1304        flat       3 reversible
## 1305        flat       3      fixed
## 1306   upsloping       0     normal
## 1307   upsloping       0 reversible
## 1308   upsloping       0      fixed
## 1309   upsloping       1     normal
## 1310   upsloping       1 reversible
## 1311   upsloping       1      fixed
## 1312   upsloping       3     normal
## 1313   upsloping       3 reversible
## 1314   upsloping       3      fixed
## 1315 downsloping       0     normal
## 1316 downsloping       0 reversible
## 1317 downsloping       0      fixed
## 1318 downsloping       1     normal
## 1319 downsloping       1 reversible
## 1320 downsloping       1      fixed
## 1321 downsloping       3     normal
## 1322 downsloping       3 reversible
## 1323 downsloping       3      fixed
## 1324        flat       0     normal
## 1325        flat       0 reversible
## 1326        flat       0      fixed
## 1327        flat       1     normal
## 1328        flat       1 reversible
## 1329        flat       1      fixed
## 1330        flat       3     normal
## 1331        flat       3 reversible
## 1332        flat       3      fixed
## 1333   upsloping       0     normal
## 1334   upsloping       0 reversible
## 1335   upsloping       0      fixed
## 1336   upsloping       1     normal
## 1337   upsloping       1 reversible
## 1338   upsloping       1      fixed
## 1339   upsloping       3     normal
## 1340   upsloping       3 reversible
## 1341   upsloping       3      fixed
## 1342 downsloping       0     normal
## 1343 downsloping       0 reversible
## 1344 downsloping       0      fixed
## 1345 downsloping       1     normal
## 1346 downsloping       1 reversible
## 1347 downsloping       1      fixed
## 1348 downsloping       3     normal
## 1349 downsloping       3 reversible
## 1350 downsloping       3      fixed
## 1351        flat       0     normal
## 1352        flat       0 reversible
## 1353        flat       0      fixed
## 1354        flat       1     normal
## 1355        flat       1 reversible
## 1356        flat       1      fixed
## 1357        flat       3     normal
## 1358        flat       3 reversible
## 1359        flat       3      fixed
## 1360   upsloping       0     normal
## 1361   upsloping       0 reversible
## 1362   upsloping       0      fixed
## 1363   upsloping       1     normal
## 1364   upsloping       1 reversible
## 1365   upsloping       1      fixed
## 1366   upsloping       3     normal
## 1367   upsloping       3 reversible
## 1368   upsloping       3      fixed
## 1369 downsloping       0     normal
## 1370 downsloping       0 reversible
## 1371 downsloping       0      fixed
## 1372 downsloping       1     normal
## 1373 downsloping       1 reversible
## 1374 downsloping       1      fixed
## 1375 downsloping       3     normal
## 1376 downsloping       3 reversible
## 1377 downsloping       3      fixed
## 1378        flat       0     normal
## 1379        flat       0 reversible
## 1380        flat       0      fixed
## 1381        flat       1     normal
## 1382        flat       1 reversible
## 1383        flat       1      fixed
## 1384        flat       3     normal
## 1385        flat       3 reversible
## 1386        flat       3      fixed
## 1387   upsloping       0     normal
## 1388   upsloping       0 reversible
## 1389   upsloping       0      fixed
## 1390   upsloping       1     normal
## 1391   upsloping       1 reversible
## 1392   upsloping       1      fixed
## 1393   upsloping       3     normal
## 1394   upsloping       3 reversible
## 1395   upsloping       3      fixed
## 1396 downsloping       0     normal
## 1397 downsloping       0 reversible
## 1398 downsloping       0      fixed
## 1399 downsloping       1     normal
## 1400 downsloping       1 reversible
## 1401 downsloping       1      fixed
## 1402 downsloping       3     normal
## 1403 downsloping       3 reversible
## 1404 downsloping       3      fixed
## 1405        flat       0     normal
## 1406        flat       0 reversible
## 1407        flat       0      fixed
## 1408        flat       1     normal
## 1409        flat       1 reversible
## 1410        flat       1      fixed
## 1411        flat       3     normal
## 1412        flat       3 reversible
## 1413        flat       3      fixed
## 1414   upsloping       0     normal
## 1415   upsloping       0 reversible
## 1416   upsloping       0      fixed
## 1417   upsloping       1     normal
## 1418   upsloping       1 reversible
## 1419   upsloping       1      fixed
## 1420   upsloping       3     normal
## 1421   upsloping       3 reversible
## 1422   upsloping       3      fixed
## 1423 downsloping       0     normal
## 1424 downsloping       0 reversible
## 1425 downsloping       0      fixed
## 1426 downsloping       1     normal
## 1427 downsloping       1 reversible
## 1428 downsloping       1      fixed
## 1429 downsloping       3     normal
## 1430 downsloping       3 reversible
## 1431 downsloping       3      fixed
## 1432        flat       0     normal
## 1433        flat       0 reversible
## 1434        flat       0      fixed
## 1435        flat       1     normal
## 1436        flat       1 reversible
## 1437        flat       1      fixed
## 1438        flat       3     normal
## 1439        flat       3 reversible
## 1440        flat       3      fixed
## 1441   upsloping       0     normal
## 1442   upsloping       0 reversible
## 1443   upsloping       0      fixed
## 1444   upsloping       1     normal
## 1445   upsloping       1 reversible
## 1446   upsloping       1      fixed
## 1447   upsloping       3     normal
## 1448   upsloping       3 reversible
## 1449   upsloping       3      fixed
## 1450 downsloping       0     normal
## 1451 downsloping       0 reversible
## 1452 downsloping       0      fixed
## 1453 downsloping       1     normal
## 1454 downsloping       1 reversible
## 1455 downsloping       1      fixed
## 1456 downsloping       3     normal
## 1457 downsloping       3 reversible
## 1458 downsloping       3      fixed
## 1459        flat       0     normal
## 1460        flat       0 reversible
## 1461        flat       0      fixed
## 1462        flat       1     normal
## 1463        flat       1 reversible
## 1464        flat       1      fixed
## 1465        flat       3     normal
## 1466        flat       3 reversible
## 1467        flat       3      fixed
## 1468   upsloping       0     normal
## 1469   upsloping       0 reversible
## 1470   upsloping       0      fixed
## 1471   upsloping       1     normal
## 1472   upsloping       1 reversible
## 1473   upsloping       1      fixed
## 1474   upsloping       3     normal
## 1475   upsloping       3 reversible
## 1476   upsloping       3      fixed
## 1477 downsloping       0     normal
## 1478 downsloping       0 reversible
## 1479 downsloping       0      fixed
## 1480 downsloping       1     normal
## 1481 downsloping       1 reversible
## 1482 downsloping       1      fixed
## 1483 downsloping       3     normal
## 1484 downsloping       3 reversible
## 1485 downsloping       3      fixed
## 1486        flat       0     normal
## 1487        flat       0 reversible
## 1488        flat       0      fixed
## 1489        flat       1     normal
## 1490        flat       1 reversible
## 1491        flat       1      fixed
## 1492        flat       3     normal
## 1493        flat       3 reversible
## 1494        flat       3      fixed
## 1495   upsloping       0     normal
## 1496   upsloping       0 reversible
## 1497   upsloping       0      fixed
## 1498   upsloping       1     normal
## 1499   upsloping       1 reversible
## 1500   upsloping       1      fixed
## 1501   upsloping       3     normal
## 1502   upsloping       3 reversible
## 1503   upsloping       3      fixed
## 1504 downsloping       0     normal
## 1505 downsloping       0 reversible
## 1506 downsloping       0      fixed
## 1507 downsloping       1     normal
## 1508 downsloping       1 reversible
## 1509 downsloping       1      fixed
## 1510 downsloping       3     normal
## 1511 downsloping       3 reversible
## 1512 downsloping       3      fixed
## 1513        flat       0     normal
## 1514        flat       0 reversible
## 1515        flat       0      fixed
## 1516        flat       1     normal
## 1517        flat       1 reversible
## 1518        flat       1      fixed
## 1519        flat       3     normal
## 1520        flat       3 reversible
## 1521        flat       3      fixed
## 1522   upsloping       0     normal
## 1523   upsloping       0 reversible
## 1524   upsloping       0      fixed
## 1525   upsloping       1     normal
## 1526   upsloping       1 reversible
## 1527   upsloping       1      fixed
## 1528   upsloping       3     normal
## 1529   upsloping       3 reversible
## 1530   upsloping       3      fixed
## 1531 downsloping       0     normal
## 1532 downsloping       0 reversible
## 1533 downsloping       0      fixed
## 1534 downsloping       1     normal
## 1535 downsloping       1 reversible
## 1536 downsloping       1      fixed
## 1537 downsloping       3     normal
## 1538 downsloping       3 reversible
## 1539 downsloping       3      fixed
## 1540        flat       0     normal
## 1541        flat       0 reversible
## 1542        flat       0      fixed
## 1543        flat       1     normal
## 1544        flat       1 reversible
## 1545        flat       1      fixed
## 1546        flat       3     normal
## 1547        flat       3 reversible
## 1548        flat       3      fixed
## 1549   upsloping       0     normal
## 1550   upsloping       0 reversible
## 1551   upsloping       0      fixed
## 1552   upsloping       1     normal
## 1553   upsloping       1 reversible
## 1554   upsloping       1      fixed
## 1555   upsloping       3     normal
## 1556   upsloping       3 reversible
## 1557   upsloping       3      fixed
## 1558 downsloping       0     normal
## 1559 downsloping       0 reversible
## 1560 downsloping       0      fixed
## 1561 downsloping       1     normal
## 1562 downsloping       1 reversible
## 1563 downsloping       1      fixed
## 1564 downsloping       3     normal
## 1565 downsloping       3 reversible
## 1566 downsloping       3      fixed
## 1567        flat       0     normal
## 1568        flat       0 reversible
## 1569        flat       0      fixed
## 1570        flat       1     normal
## 1571        flat       1 reversible
## 1572        flat       1      fixed
## 1573        flat       3     normal
## 1574        flat       3 reversible
## 1575        flat       3      fixed
## 1576   upsloping       0     normal
## 1577   upsloping       0 reversible
## 1578   upsloping       0      fixed
## 1579   upsloping       1     normal
## 1580   upsloping       1 reversible
## 1581   upsloping       1      fixed
## 1582   upsloping       3     normal
## 1583   upsloping       3 reversible
## 1584   upsloping       3      fixed
## 1585 downsloping       0     normal
## 1586 downsloping       0 reversible
## 1587 downsloping       0      fixed
## 1588 downsloping       1     normal
## 1589 downsloping       1 reversible
## 1590 downsloping       1      fixed
## 1591 downsloping       3     normal
## 1592 downsloping       3 reversible
## 1593 downsloping       3      fixed
## 1594        flat       0     normal
## 1595        flat       0 reversible
## 1596        flat       0      fixed
## 1597        flat       1     normal
## 1598        flat       1 reversible
## 1599        flat       1      fixed
## 1600        flat       3     normal
## 1601        flat       3 reversible
## 1602        flat       3      fixed
## 1603   upsloping       0     normal
## 1604   upsloping       0 reversible
## 1605   upsloping       0      fixed
## 1606   upsloping       1     normal
## 1607   upsloping       1 reversible
## 1608   upsloping       1      fixed
## 1609   upsloping       3     normal
## 1610   upsloping       3 reversible
## 1611   upsloping       3      fixed
## 1612 downsloping       0     normal
## 1613 downsloping       0 reversible
## 1614 downsloping       0      fixed
## 1615 downsloping       1     normal
## 1616 downsloping       1 reversible
## 1617 downsloping       1      fixed
## 1618 downsloping       3     normal
## 1619 downsloping       3 reversible
## 1620 downsloping       3      fixed
## 1621        flat       0     normal
## 1622        flat       0 reversible
## 1623        flat       0      fixed
## 1624        flat       1     normal
## 1625        flat       1 reversible
## 1626        flat       1      fixed
## 1627        flat       3     normal
## 1628        flat       3 reversible
## 1629        flat       3      fixed
## 1630   upsloping       0     normal
## 1631   upsloping       0 reversible
## 1632   upsloping       0      fixed
## 1633   upsloping       1     normal
## 1634   upsloping       1 reversible
## 1635   upsloping       1      fixed
## 1636   upsloping       3     normal
## 1637   upsloping       3 reversible
## 1638   upsloping       3      fixed
## 1639 downsloping       0     normal
## 1640 downsloping       0 reversible
## 1641 downsloping       0      fixed
## 1642 downsloping       1     normal
## 1643 downsloping       1 reversible
## 1644 downsloping       1      fixed
## 1645 downsloping       3     normal
## 1646 downsloping       3 reversible
## 1647 downsloping       3      fixed
## 1648        flat       0     normal
## 1649        flat       0 reversible
## 1650        flat       0      fixed
## 1651        flat       1     normal
## 1652        flat       1 reversible
## 1653        flat       1      fixed
## 1654        flat       3     normal
## 1655        flat       3 reversible
## 1656        flat       3      fixed
## 1657   upsloping       0     normal
## 1658   upsloping       0 reversible
## 1659   upsloping       0      fixed
## 1660   upsloping       1     normal
## 1661   upsloping       1 reversible
## 1662   upsloping       1      fixed
## 1663   upsloping       3     normal
## 1664   upsloping       3 reversible
## 1665   upsloping       3      fixed
## 1666 downsloping       0     normal
## 1667 downsloping       0 reversible
## 1668 downsloping       0      fixed
## 1669 downsloping       1     normal
## 1670 downsloping       1 reversible
## 1671 downsloping       1      fixed
## 1672 downsloping       3     normal
## 1673 downsloping       3 reversible
## 1674 downsloping       3      fixed
## 1675        flat       0     normal
## 1676        flat       0 reversible
## 1677        flat       0      fixed
## 1678        flat       1     normal
## 1679        flat       1 reversible
## 1680        flat       1      fixed
## 1681        flat       3     normal
## 1682        flat       3 reversible
## 1683        flat       3      fixed
## 1684   upsloping       0     normal
## 1685   upsloping       0 reversible
## 1686   upsloping       0      fixed
## 1687   upsloping       1     normal
## 1688   upsloping       1 reversible
## 1689   upsloping       1      fixed
## 1690   upsloping       3     normal
## 1691   upsloping       3 reversible
## 1692   upsloping       3      fixed
## 1693 downsloping       0     normal
## 1694 downsloping       0 reversible
## 1695 downsloping       0      fixed
## 1696 downsloping       1     normal
## 1697 downsloping       1 reversible
## 1698 downsloping       1      fixed
## 1699 downsloping       3     normal
## 1700 downsloping       3 reversible
## 1701 downsloping       3      fixed
## 1702        flat       0     normal
## 1703        flat       0 reversible
## 1704        flat       0      fixed
## 1705        flat       1     normal
## 1706        flat       1 reversible
## 1707        flat       1      fixed
## 1708        flat       3     normal
## 1709        flat       3 reversible
## 1710        flat       3      fixed
## 1711   upsloping       0     normal
## 1712   upsloping       0 reversible
## 1713   upsloping       0      fixed
## 1714   upsloping       1     normal
## 1715   upsloping       1 reversible
## 1716   upsloping       1      fixed
## 1717   upsloping       3     normal
## 1718   upsloping       3 reversible
## 1719   upsloping       3      fixed
## 1720 downsloping       0     normal
## 1721 downsloping       0 reversible
## 1722 downsloping       0      fixed
## 1723 downsloping       1     normal
## 1724 downsloping       1 reversible
## 1725 downsloping       1      fixed
## 1726 downsloping       3     normal
## 1727 downsloping       3 reversible
## 1728 downsloping       3      fixed
## 1729        flat       0     normal
## 1730        flat       0 reversible
## 1731        flat       0      fixed
## 1732        flat       1     normal
## 1733        flat       1 reversible
## 1734        flat       1      fixed
## 1735        flat       3     normal
## 1736        flat       3 reversible
## 1737        flat       3      fixed
## 1738   upsloping       0     normal
## 1739   upsloping       0 reversible
## 1740   upsloping       0      fixed
## 1741   upsloping       1     normal
## 1742   upsloping       1 reversible
## 1743   upsloping       1      fixed
## 1744   upsloping       3     normal
## 1745   upsloping       3 reversible
## 1746   upsloping       3      fixed
## 1747 downsloping       0     normal
## 1748 downsloping       0 reversible
## 1749 downsloping       0      fixed
## 1750 downsloping       1     normal
## 1751 downsloping       1 reversible
## 1752 downsloping       1      fixed
## 1753 downsloping       3     normal
## 1754 downsloping       3 reversible
## 1755 downsloping       3      fixed
## 1756        flat       0     normal
## 1757        flat       0 reversible
## 1758        flat       0      fixed
## 1759        flat       1     normal
## 1760        flat       1 reversible
## 1761        flat       1      fixed
## 1762        flat       3     normal
## 1763        flat       3 reversible
## 1764        flat       3      fixed
## 1765   upsloping       0     normal
## 1766   upsloping       0 reversible
## 1767   upsloping       0      fixed
## 1768   upsloping       1     normal
## 1769   upsloping       1 reversible
## 1770   upsloping       1      fixed
## 1771   upsloping       3     normal
## 1772   upsloping       3 reversible
## 1773   upsloping       3      fixed
## 1774 downsloping       0     normal
## 1775 downsloping       0 reversible
## 1776 downsloping       0      fixed
## 1777 downsloping       1     normal
## 1778 downsloping       1 reversible
## 1779 downsloping       1      fixed
## 1780 downsloping       3     normal
## 1781 downsloping       3 reversible
## 1782 downsloping       3      fixed
## 1783        flat       0     normal
## 1784        flat       0 reversible
## 1785        flat       0      fixed
## 1786        flat       1     normal
## 1787        flat       1 reversible
## 1788        flat       1      fixed
## 1789        flat       3     normal
## 1790        flat       3 reversible
## 1791        flat       3      fixed
## 1792   upsloping       0     normal
## 1793   upsloping       0 reversible
## 1794   upsloping       0      fixed
## 1795   upsloping       1     normal
## 1796   upsloping       1 reversible
## 1797   upsloping       1      fixed
## 1798   upsloping       3     normal
## 1799   upsloping       3 reversible
## 1800   upsloping       3      fixed
## 1801 downsloping       0     normal
## 1802 downsloping       0 reversible
## 1803 downsloping       0      fixed
## 1804 downsloping       1     normal
## 1805 downsloping       1 reversible
## 1806 downsloping       1      fixed
## 1807 downsloping       3     normal
## 1808 downsloping       3 reversible
## 1809 downsloping       3      fixed
## 1810        flat       0     normal
## 1811        flat       0 reversible
## 1812        flat       0      fixed
## 1813        flat       1     normal
## 1814        flat       1 reversible
## 1815        flat       1      fixed
## 1816        flat       3     normal
## 1817        flat       3 reversible
## 1818        flat       3      fixed
## 1819   upsloping       0     normal
## 1820   upsloping       0 reversible
## 1821   upsloping       0      fixed
## 1822   upsloping       1     normal
## 1823   upsloping       1 reversible
## 1824   upsloping       1      fixed
## 1825   upsloping       3     normal
## 1826   upsloping       3 reversible
## 1827   upsloping       3      fixed
## 1828 downsloping       0     normal
## 1829 downsloping       0 reversible
## 1830 downsloping       0      fixed
## 1831 downsloping       1     normal
## 1832 downsloping       1 reversible
## 1833 downsloping       1      fixed
## 1834 downsloping       3     normal
## 1835 downsloping       3 reversible
## 1836 downsloping       3      fixed
## 1837        flat       0     normal
## 1838        flat       0 reversible
## 1839        flat       0      fixed
## 1840        flat       1     normal
## 1841        flat       1 reversible
## 1842        flat       1      fixed
## 1843        flat       3     normal
## 1844        flat       3 reversible
## 1845        flat       3      fixed
## 1846   upsloping       0     normal
## 1847   upsloping       0 reversible
## 1848   upsloping       0      fixed
## 1849   upsloping       1     normal
## 1850   upsloping       1 reversible
## 1851   upsloping       1      fixed
## 1852   upsloping       3     normal
## 1853   upsloping       3 reversible
## 1854   upsloping       3      fixed
## 1855 downsloping       0     normal
## 1856 downsloping       0 reversible
## 1857 downsloping       0      fixed
## 1858 downsloping       1     normal
## 1859 downsloping       1 reversible
## 1860 downsloping       1      fixed
## 1861 downsloping       3     normal
## 1862 downsloping       3 reversible
## 1863 downsloping       3      fixed
## 1864        flat       0     normal
## 1865        flat       0 reversible
## 1866        flat       0      fixed
## 1867        flat       1     normal
## 1868        flat       1 reversible
## 1869        flat       1      fixed
## 1870        flat       3     normal
## 1871        flat       3 reversible
## 1872        flat       3      fixed
## 1873   upsloping       0     normal
## 1874   upsloping       0 reversible
## 1875   upsloping       0      fixed
## 1876   upsloping       1     normal
## 1877   upsloping       1 reversible
## 1878   upsloping       1      fixed
## 1879   upsloping       3     normal
## 1880   upsloping       3 reversible
## 1881   upsloping       3      fixed
## 1882 downsloping       0     normal
## 1883 downsloping       0 reversible
## 1884 downsloping       0      fixed
## 1885 downsloping       1     normal
## 1886 downsloping       1 reversible
## 1887 downsloping       1      fixed
## 1888 downsloping       3     normal
## 1889 downsloping       3 reversible
## 1890 downsloping       3      fixed
## 1891        flat       0     normal
## 1892        flat       0 reversible
## 1893        flat       0      fixed
## 1894        flat       1     normal
## 1895        flat       1 reversible
## 1896        flat       1      fixed
## 1897        flat       3     normal
## 1898        flat       3 reversible
## 1899        flat       3      fixed
## 1900   upsloping       0     normal
## 1901   upsloping       0 reversible
## 1902   upsloping       0      fixed
## 1903   upsloping       1     normal
## 1904   upsloping       1 reversible
## 1905   upsloping       1      fixed
## 1906   upsloping       3     normal
## 1907   upsloping       3 reversible
## 1908   upsloping       3      fixed
## 1909 downsloping       0     normal
## 1910 downsloping       0 reversible
## 1911 downsloping       0      fixed
## 1912 downsloping       1     normal
## 1913 downsloping       1 reversible
## 1914 downsloping       1      fixed
## 1915 downsloping       3     normal
## 1916 downsloping       3 reversible
## 1917 downsloping       3      fixed
## 1918        flat       0     normal
## 1919        flat       0 reversible
## 1920        flat       0      fixed
## 1921        flat       1     normal
## 1922        flat       1 reversible
## 1923        flat       1      fixed
## 1924        flat       3     normal
## 1925        flat       3 reversible
## 1926        flat       3      fixed
## 1927   upsloping       0     normal
## 1928   upsloping       0 reversible
## 1929   upsloping       0      fixed
## 1930   upsloping       1     normal
## 1931   upsloping       1 reversible
## 1932   upsloping       1      fixed
## 1933   upsloping       3     normal
## 1934   upsloping       3 reversible
## 1935   upsloping       3      fixed
## 1936 downsloping       0     normal
## 1937 downsloping       0 reversible
## 1938 downsloping       0      fixed
## 1939 downsloping       1     normal
## 1940 downsloping       1 reversible
## 1941 downsloping       1      fixed
## 1942 downsloping       3     normal
## 1943 downsloping       3 reversible
## 1944 downsloping       3      fixed
## 1945        flat       0     normal
## 1946        flat       0 reversible
## 1947        flat       0      fixed
## 1948        flat       1     normal
## 1949        flat       1 reversible
## 1950        flat       1      fixed
## 1951        flat       3     normal
## 1952        flat       3 reversible
## 1953        flat       3      fixed
## 1954   upsloping       0     normal
## 1955   upsloping       0 reversible
## 1956   upsloping       0      fixed
## 1957   upsloping       1     normal
## 1958   upsloping       1 reversible
## 1959   upsloping       1      fixed
## 1960   upsloping       3     normal
## 1961   upsloping       3 reversible
## 1962   upsloping       3      fixed
## 1963 downsloping       0     normal
## 1964 downsloping       0 reversible
## 1965 downsloping       0      fixed
## 1966 downsloping       1     normal
## 1967 downsloping       1 reversible
## 1968 downsloping       1      fixed
## 1969 downsloping       3     normal
## 1970 downsloping       3 reversible
## 1971 downsloping       3      fixed
## 1972        flat       0     normal
## 1973        flat       0 reversible
## 1974        flat       0      fixed
## 1975        flat       1     normal
## 1976        flat       1 reversible
## 1977        flat       1      fixed
## 1978        flat       3     normal
## 1979        flat       3 reversible
## 1980        flat       3      fixed
## 1981   upsloping       0     normal
## 1982   upsloping       0 reversible
## 1983   upsloping       0      fixed
## 1984   upsloping       1     normal
## 1985   upsloping       1 reversible
## 1986   upsloping       1      fixed
## 1987   upsloping       3     normal
## 1988   upsloping       3 reversible
## 1989   upsloping       3      fixed
## 1990 downsloping       0     normal
## 1991 downsloping       0 reversible
## 1992 downsloping       0      fixed
## 1993 downsloping       1     normal
## 1994 downsloping       1 reversible
## 1995 downsloping       1      fixed
## 1996 downsloping       3     normal
## 1997 downsloping       3 reversible
## 1998 downsloping       3      fixed
## 1999        flat       0     normal
## 2000        flat       0 reversible
## 2001        flat       0      fixed
## 2002        flat       1     normal
## 2003        flat       1 reversible
## 2004        flat       1      fixed
## 2005        flat       3     normal
## 2006        flat       3 reversible
## 2007        flat       3      fixed
## 2008   upsloping       0     normal
## 2009   upsloping       0 reversible
## 2010   upsloping       0      fixed
## 2011   upsloping       1     normal
## 2012   upsloping       1 reversible
## 2013   upsloping       1      fixed
## 2014   upsloping       3     normal
## 2015   upsloping       3 reversible
## 2016   upsloping       3      fixed
## 2017 downsloping       0     normal
## 2018 downsloping       0 reversible
## 2019 downsloping       0      fixed
## 2020 downsloping       1     normal
## 2021 downsloping       1 reversible
## 2022 downsloping       1      fixed
## 2023 downsloping       3     normal
## 2024 downsloping       3 reversible
## 2025 downsloping       3      fixed
## 2026        flat       0     normal
## 2027        flat       0 reversible
## 2028        flat       0      fixed
## 2029        flat       1     normal
## 2030        flat       1 reversible
## 2031        flat       1      fixed
## 2032        flat       3     normal
## 2033        flat       3 reversible
## 2034        flat       3      fixed
## 2035   upsloping       0     normal
## 2036   upsloping       0 reversible
## 2037   upsloping       0      fixed
## 2038   upsloping       1     normal
## 2039   upsloping       1 reversible
## 2040   upsloping       1      fixed
## 2041   upsloping       3     normal
## 2042   upsloping       3 reversible
## 2043   upsloping       3      fixed
## 2044 downsloping       0     normal
## 2045 downsloping       0 reversible
## 2046 downsloping       0      fixed
## 2047 downsloping       1     normal
## 2048 downsloping       1 reversible
## 2049 downsloping       1      fixed
## 2050 downsloping       3     normal
## 2051 downsloping       3 reversible
## 2052 downsloping       3      fixed
## 2053        flat       0     normal
## 2054        flat       0 reversible
## 2055        flat       0      fixed
## 2056        flat       1     normal
## 2057        flat       1 reversible
## 2058        flat       1      fixed
## 2059        flat       3     normal
## 2060        flat       3 reversible
## 2061        flat       3      fixed
## 2062   upsloping       0     normal
## 2063   upsloping       0 reversible
## 2064   upsloping       0      fixed
## 2065   upsloping       1     normal
## 2066   upsloping       1 reversible
## 2067   upsloping       1      fixed
## 2068   upsloping       3     normal
## 2069   upsloping       3 reversible
## 2070   upsloping       3      fixed
## 2071 downsloping       0     normal
## 2072 downsloping       0 reversible
## 2073 downsloping       0      fixed
## 2074 downsloping       1     normal
## 2075 downsloping       1 reversible
## 2076 downsloping       1      fixed
## 2077 downsloping       3     normal
## 2078 downsloping       3 reversible
## 2079 downsloping       3      fixed
## 2080        flat       0     normal
## 2081        flat       0 reversible
## 2082        flat       0      fixed
## 2083        flat       1     normal
## 2084        flat       1 reversible
## 2085        flat       1      fixed
## 2086        flat       3     normal
## 2087        flat       3 reversible
## 2088        flat       3      fixed
## 2089   upsloping       0     normal
## 2090   upsloping       0 reversible
## 2091   upsloping       0      fixed
## 2092   upsloping       1     normal
## 2093   upsloping       1 reversible
## 2094   upsloping       1      fixed
## 2095   upsloping       3     normal
## 2096   upsloping       3 reversible
## 2097   upsloping       3      fixed
## 2098 downsloping       0     normal
## 2099 downsloping       0 reversible
## 2100 downsloping       0      fixed
## 2101 downsloping       1     normal
## 2102 downsloping       1 reversible
## 2103 downsloping       1      fixed
## 2104 downsloping       3     normal
## 2105 downsloping       3 reversible
## 2106 downsloping       3      fixed
## 2107        flat       0     normal
## 2108        flat       0 reversible
## 2109        flat       0      fixed
## 2110        flat       1     normal
## 2111        flat       1 reversible
## 2112        flat       1      fixed
## 2113        flat       3     normal
## 2114        flat       3 reversible
## 2115        flat       3      fixed
## 2116   upsloping       0     normal
## 2117   upsloping       0 reversible
## 2118   upsloping       0      fixed
## 2119   upsloping       1     normal
## 2120   upsloping       1 reversible
## 2121   upsloping       1      fixed
## 2122   upsloping       3     normal
## 2123   upsloping       3 reversible
## 2124   upsloping       3      fixed
## 2125 downsloping       0     normal
## 2126 downsloping       0 reversible
## 2127 downsloping       0      fixed
## 2128 downsloping       1     normal
## 2129 downsloping       1 reversible
## 2130 downsloping       1      fixed
## 2131 downsloping       3     normal
## 2132 downsloping       3 reversible
## 2133 downsloping       3      fixed
## 2134        flat       0     normal
## 2135        flat       0 reversible
## 2136        flat       0      fixed
## 2137        flat       1     normal
## 2138        flat       1 reversible
## 2139        flat       1      fixed
## 2140        flat       3     normal
## 2141        flat       3 reversible
## 2142        flat       3      fixed
## 2143   upsloping       0     normal
## 2144   upsloping       0 reversible
## 2145   upsloping       0      fixed
## 2146   upsloping       1     normal
## 2147   upsloping       1 reversible
## 2148   upsloping       1      fixed
## 2149   upsloping       3     normal
## 2150   upsloping       3 reversible
## 2151   upsloping       3      fixed
## 2152 downsloping       0     normal
## 2153 downsloping       0 reversible
## 2154 downsloping       0      fixed
## 2155 downsloping       1     normal
## 2156 downsloping       1 reversible
## 2157 downsloping       1      fixed
## 2158 downsloping       3     normal
## 2159 downsloping       3 reversible
## 2160 downsloping       3      fixed
## 2161        flat       0     normal
## 2162        flat       0 reversible
## 2163        flat       0      fixed
## 2164        flat       1     normal
## 2165        flat       1 reversible
## 2166        flat       1      fixed
## 2167        flat       3     normal
## 2168        flat       3 reversible
## 2169        flat       3      fixed
## 2170   upsloping       0     normal
## 2171   upsloping       0 reversible
## 2172   upsloping       0      fixed
## 2173   upsloping       1     normal
## 2174   upsloping       1 reversible
## 2175   upsloping       1      fixed
## 2176   upsloping       3     normal
## 2177   upsloping       3 reversible
## 2178   upsloping       3      fixed
## 2179 downsloping       0     normal
## 2180 downsloping       0 reversible
## 2181 downsloping       0      fixed
## 2182 downsloping       1     normal
## 2183 downsloping       1 reversible
## 2184 downsloping       1      fixed
## 2185 downsloping       3     normal
## 2186 downsloping       3 reversible
## 2187 downsloping       3      fixed
## 2188        flat       0     normal
## 2189        flat       0 reversible
## 2190        flat       0      fixed
## 2191        flat       1     normal
## 2192        flat       1 reversible
## 2193        flat       1      fixed
## 2194        flat       3     normal
## 2195        flat       3 reversible
## 2196        flat       3      fixed
## 2197   upsloping       0     normal
## 2198   upsloping       0 reversible
## 2199   upsloping       0      fixed
## 2200   upsloping       1     normal
## 2201   upsloping       1 reversible
## 2202   upsloping       1      fixed
## 2203   upsloping       3     normal
## 2204   upsloping       3 reversible
## 2205   upsloping       3      fixed
## 2206 downsloping       0     normal
## 2207 downsloping       0 reversible
## 2208 downsloping       0      fixed
## 2209 downsloping       1     normal
## 2210 downsloping       1 reversible
## 2211 downsloping       1      fixed
## 2212 downsloping       3     normal
## 2213 downsloping       3 reversible
## 2214 downsloping       3      fixed
## 2215        flat       0     normal
## 2216        flat       0 reversible
## 2217        flat       0      fixed
## 2218        flat       1     normal
## 2219        flat       1 reversible
## 2220        flat       1      fixed
## 2221        flat       3     normal
## 2222        flat       3 reversible
## 2223        flat       3      fixed
## 2224   upsloping       0     normal
## 2225   upsloping       0 reversible
## 2226   upsloping       0      fixed
## 2227   upsloping       1     normal
## 2228   upsloping       1 reversible
## 2229   upsloping       1      fixed
## 2230   upsloping       3     normal
## 2231   upsloping       3 reversible
## 2232   upsloping       3      fixed
## 2233 downsloping       0     normal
## 2234 downsloping       0 reversible
## 2235 downsloping       0      fixed
## 2236 downsloping       1     normal
## 2237 downsloping       1 reversible
## 2238 downsloping       1      fixed
## 2239 downsloping       3     normal
## 2240 downsloping       3 reversible
## 2241 downsloping       3      fixed
## 2242        flat       0     normal
## 2243        flat       0 reversible
## 2244        flat       0      fixed
## 2245        flat       1     normal
## 2246        flat       1 reversible
## 2247        flat       1      fixed
## 2248        flat       3     normal
## 2249        flat       3 reversible
## 2250        flat       3      fixed
## 2251   upsloping       0     normal
## 2252   upsloping       0 reversible
## 2253   upsloping       0      fixed
## 2254   upsloping       1     normal
## 2255   upsloping       1 reversible
## 2256   upsloping       1      fixed
## 2257   upsloping       3     normal
## 2258   upsloping       3 reversible
## 2259   upsloping       3      fixed
## 2260 downsloping       0     normal
## 2261 downsloping       0 reversible
## 2262 downsloping       0      fixed
## 2263 downsloping       1     normal
## 2264 downsloping       1 reversible
## 2265 downsloping       1      fixed
## 2266 downsloping       3     normal
## 2267 downsloping       3 reversible
## 2268 downsloping       3      fixed
## 2269        flat       0     normal
## 2270        flat       0 reversible
## 2271        flat       0      fixed
## 2272        flat       1     normal
## 2273        flat       1 reversible
## 2274        flat       1      fixed
## 2275        flat       3     normal
## 2276        flat       3 reversible
## 2277        flat       3      fixed
## 2278   upsloping       0     normal
## 2279   upsloping       0 reversible
## 2280   upsloping       0      fixed
## 2281   upsloping       1     normal
## 2282   upsloping       1 reversible
## 2283   upsloping       1      fixed
## 2284   upsloping       3     normal
## 2285   upsloping       3 reversible
## 2286   upsloping       3      fixed
## 2287 downsloping       0     normal
## 2288 downsloping       0 reversible
## 2289 downsloping       0      fixed
## 2290 downsloping       1     normal
## 2291 downsloping       1 reversible
## 2292 downsloping       1      fixed
## 2293 downsloping       3     normal
## 2294 downsloping       3 reversible
## 2295 downsloping       3      fixed
## 2296        flat       0     normal
## 2297        flat       0 reversible
## 2298        flat       0      fixed
## 2299        flat       1     normal
## 2300        flat       1 reversible
## 2301        flat       1      fixed
## 2302        flat       3     normal
## 2303        flat       3 reversible
## 2304        flat       3      fixed
## 2305   upsloping       0     normal
## 2306   upsloping       0 reversible
## 2307   upsloping       0      fixed
## 2308   upsloping       1     normal
## 2309   upsloping       1 reversible
## 2310   upsloping       1      fixed
## 2311   upsloping       3     normal
## 2312   upsloping       3 reversible
## 2313   upsloping       3      fixed
## 2314 downsloping       0     normal
## 2315 downsloping       0 reversible
## 2316 downsloping       0      fixed
## 2317 downsloping       1     normal
## 2318 downsloping       1 reversible
## 2319 downsloping       1      fixed
## 2320 downsloping       3     normal
## 2321 downsloping       3 reversible
## 2322 downsloping       3      fixed
## 2323        flat       0     normal
## 2324        flat       0 reversible
## 2325        flat       0      fixed
## 2326        flat       1     normal
## 2327        flat       1 reversible
## 2328        flat       1      fixed
## 2329        flat       3     normal
## 2330        flat       3 reversible
## 2331        flat       3      fixed
## 2332   upsloping       0     normal
## 2333   upsloping       0 reversible
## 2334   upsloping       0      fixed
## 2335   upsloping       1     normal
## 2336   upsloping       1 reversible
## 2337   upsloping       1      fixed
## 2338   upsloping       3     normal
## 2339   upsloping       3 reversible
## 2340   upsloping       3      fixed
## 2341 downsloping       0     normal
## 2342 downsloping       0 reversible
## 2343 downsloping       0      fixed
## 2344 downsloping       1     normal
## 2345 downsloping       1 reversible
## 2346 downsloping       1      fixed
## 2347 downsloping       3     normal
## 2348 downsloping       3 reversible
## 2349 downsloping       3      fixed
## 2350        flat       0     normal
## 2351        flat       0 reversible
## 2352        flat       0      fixed
## 2353        flat       1     normal
## 2354        flat       1 reversible
## 2355        flat       1      fixed
## 2356        flat       3     normal
## 2357        flat       3 reversible
## 2358        flat       3      fixed
## 2359   upsloping       0     normal
## 2360   upsloping       0 reversible
## 2361   upsloping       0      fixed
## 2362   upsloping       1     normal
## 2363   upsloping       1 reversible
## 2364   upsloping       1      fixed
## 2365   upsloping       3     normal
## 2366   upsloping       3 reversible
## 2367   upsloping       3      fixed
## 2368 downsloping       0     normal
## 2369 downsloping       0 reversible
## 2370 downsloping       0      fixed
## 2371 downsloping       1     normal
## 2372 downsloping       1 reversible
## 2373 downsloping       1      fixed
## 2374 downsloping       3     normal
## 2375 downsloping       3 reversible
## 2376 downsloping       3      fixed
## 2377        flat       0     normal
## 2378        flat       0 reversible
## 2379        flat       0      fixed
## 2380        flat       1     normal
## 2381        flat       1 reversible
## 2382        flat       1      fixed
## 2383        flat       3     normal
## 2384        flat       3 reversible
## 2385        flat       3      fixed
## 2386   upsloping       0     normal
## 2387   upsloping       0 reversible
## 2388   upsloping       0      fixed
## 2389   upsloping       1     normal
## 2390   upsloping       1 reversible
## 2391   upsloping       1      fixed
## 2392   upsloping       3     normal
## 2393   upsloping       3 reversible
## 2394   upsloping       3      fixed
## 2395 downsloping       0     normal
## 2396 downsloping       0 reversible
## 2397 downsloping       0      fixed
## 2398 downsloping       1     normal
## 2399 downsloping       1 reversible
## 2400 downsloping       1      fixed
## 2401 downsloping       3     normal
## 2402 downsloping       3 reversible
## 2403 downsloping       3      fixed
## 2404        flat       0     normal
## 2405        flat       0 reversible
## 2406        flat       0      fixed
## 2407        flat       1     normal
## 2408        flat       1 reversible
## 2409        flat       1      fixed
## 2410        flat       3     normal
## 2411        flat       3 reversible
## 2412        flat       3      fixed
## 2413   upsloping       0     normal
## 2414   upsloping       0 reversible
## 2415   upsloping       0      fixed
## 2416   upsloping       1     normal
## 2417   upsloping       1 reversible
## 2418   upsloping       1      fixed
## 2419   upsloping       3     normal
## 2420   upsloping       3 reversible
## 2421   upsloping       3      fixed
## 2422 downsloping       0     normal
## 2423 downsloping       0 reversible
## 2424 downsloping       0      fixed
## 2425 downsloping       1     normal
## 2426 downsloping       1 reversible
## 2427 downsloping       1      fixed
## 2428 downsloping       3     normal
## 2429 downsloping       3 reversible
## 2430 downsloping       3      fixed
## 2431        flat       0     normal
## 2432        flat       0 reversible
## 2433        flat       0      fixed
## 2434        flat       1     normal
## 2435        flat       1 reversible
## 2436        flat       1      fixed
## 2437        flat       3     normal
## 2438        flat       3 reversible
## 2439        flat       3      fixed
## 2440   upsloping       0     normal
## 2441   upsloping       0 reversible
## 2442   upsloping       0      fixed
## 2443   upsloping       1     normal
## 2444   upsloping       1 reversible
## 2445   upsloping       1      fixed
## 2446   upsloping       3     normal
## 2447   upsloping       3 reversible
## 2448   upsloping       3      fixed
## 2449 downsloping       0     normal
## 2450 downsloping       0 reversible
## 2451 downsloping       0      fixed
## 2452 downsloping       1     normal
## 2453 downsloping       1 reversible
## 2454 downsloping       1      fixed
## 2455 downsloping       3     normal
## 2456 downsloping       3 reversible
## 2457 downsloping       3      fixed
## 2458        flat       0     normal
## 2459        flat       0 reversible
## 2460        flat       0      fixed
## 2461        flat       1     normal
## 2462        flat       1 reversible
## 2463        flat       1      fixed
## 2464        flat       3     normal
## 2465        flat       3 reversible
## 2466        flat       3      fixed
## 2467   upsloping       0     normal
## 2468   upsloping       0 reversible
## 2469   upsloping       0      fixed
## 2470   upsloping       1     normal
## 2471   upsloping       1 reversible
## 2472   upsloping       1      fixed
## 2473   upsloping       3     normal
## 2474   upsloping       3 reversible
## 2475   upsloping       3      fixed
## 2476 downsloping       0     normal
## 2477 downsloping       0 reversible
## 2478 downsloping       0      fixed
## 2479 downsloping       1     normal
## 2480 downsloping       1 reversible
## 2481 downsloping       1      fixed
## 2482 downsloping       3     normal
## 2483 downsloping       3 reversible
## 2484 downsloping       3      fixed
## 2485        flat       0     normal
## 2486        flat       0 reversible
## 2487        flat       0      fixed
## 2488        flat       1     normal
## 2489        flat       1 reversible
## 2490        flat       1      fixed
## 2491        flat       3     normal
## 2492        flat       3 reversible
## 2493        flat       3      fixed
## 2494   upsloping       0     normal
## 2495   upsloping       0 reversible
## 2496   upsloping       0      fixed
## 2497   upsloping       1     normal
## 2498   upsloping       1 reversible
## 2499   upsloping       1      fixed
## 2500   upsloping       3     normal
## 2501   upsloping       3 reversible
## 2502   upsloping       3      fixed
## 2503 downsloping       0     normal
## 2504 downsloping       0 reversible
## 2505 downsloping       0      fixed
## 2506 downsloping       1     normal
## 2507 downsloping       1 reversible
## 2508 downsloping       1      fixed
## 2509 downsloping       3     normal
## 2510 downsloping       3 reversible
## 2511 downsloping       3      fixed
## 2512        flat       0     normal
## 2513        flat       0 reversible
## 2514        flat       0      fixed
## 2515        flat       1     normal
## 2516        flat       1 reversible
## 2517        flat       1      fixed
## 2518        flat       3     normal
## 2519        flat       3 reversible
## 2520        flat       3      fixed
## 2521   upsloping       0     normal
## 2522   upsloping       0 reversible
## 2523   upsloping       0      fixed
## 2524   upsloping       1     normal
## 2525   upsloping       1 reversible
## 2526   upsloping       1      fixed
## 2527   upsloping       3     normal
## 2528   upsloping       3 reversible
## 2529   upsloping       3      fixed
## 2530 downsloping       0     normal
## 2531 downsloping       0 reversible
## 2532 downsloping       0      fixed
## 2533 downsloping       1     normal
## 2534 downsloping       1 reversible
## 2535 downsloping       1      fixed
## 2536 downsloping       3     normal
## 2537 downsloping       3 reversible
## 2538 downsloping       3      fixed
## 2539        flat       0     normal
## 2540        flat       0 reversible
## 2541        flat       0      fixed
## 2542        flat       1     normal
## 2543        flat       1 reversible
## 2544        flat       1      fixed
## 2545        flat       3     normal
## 2546        flat       3 reversible
## 2547        flat       3      fixed
## 2548   upsloping       0     normal
## 2549   upsloping       0 reversible
## 2550   upsloping       0      fixed
## 2551   upsloping       1     normal
## 2552   upsloping       1 reversible
## 2553   upsloping       1      fixed
## 2554   upsloping       3     normal
## 2555   upsloping       3 reversible
## 2556   upsloping       3      fixed
## 2557 downsloping       0     normal
## 2558 downsloping       0 reversible
## 2559 downsloping       0      fixed
## 2560 downsloping       1     normal
## 2561 downsloping       1 reversible
## 2562 downsloping       1      fixed
## 2563 downsloping       3     normal
## 2564 downsloping       3 reversible
## 2565 downsloping       3      fixed
## 2566        flat       0     normal
## 2567        flat       0 reversible
## 2568        flat       0      fixed
## 2569        flat       1     normal
## 2570        flat       1 reversible
## 2571        flat       1      fixed
## 2572        flat       3     normal
## 2573        flat       3 reversible
## 2574        flat       3      fixed
## 2575   upsloping       0     normal
## 2576   upsloping       0 reversible
## 2577   upsloping       0      fixed
## 2578   upsloping       1     normal
## 2579   upsloping       1 reversible
## 2580   upsloping       1      fixed
## 2581   upsloping       3     normal
## 2582   upsloping       3 reversible
## 2583   upsloping       3      fixed
## 2584 downsloping       0     normal
## 2585 downsloping       0 reversible
## 2586 downsloping       0      fixed
## 2587 downsloping       1     normal
## 2588 downsloping       1 reversible
## 2589 downsloping       1      fixed
## 2590 downsloping       3     normal
## 2591 downsloping       3 reversible
## 2592 downsloping       3      fixed
## 2593        flat       0     normal
## 2594        flat       0 reversible
## 2595        flat       0      fixed
## 2596        flat       1     normal
## 2597        flat       1 reversible
## 2598        flat       1      fixed
## 2599        flat       3     normal
## 2600        flat       3 reversible
## 2601        flat       3      fixed
## 2602   upsloping       0     normal
## 2603   upsloping       0 reversible
## 2604   upsloping       0      fixed
## 2605   upsloping       1     normal
## 2606   upsloping       1 reversible
## 2607   upsloping       1      fixed
## 2608   upsloping       3     normal
## 2609   upsloping       3 reversible
## 2610   upsloping       3      fixed
## 2611 downsloping       0     normal
## 2612 downsloping       0 reversible
## 2613 downsloping       0      fixed
## 2614 downsloping       1     normal
## 2615 downsloping       1 reversible
## 2616 downsloping       1      fixed
## 2617 downsloping       3     normal
## 2618 downsloping       3 reversible
## 2619 downsloping       3      fixed
## 2620        flat       0     normal
## 2621        flat       0 reversible
## 2622        flat       0      fixed
## 2623        flat       1     normal
## 2624        flat       1 reversible
## 2625        flat       1      fixed
## 2626        flat       3     normal
## 2627        flat       3 reversible
## 2628        flat       3      fixed
## 2629   upsloping       0     normal
## 2630   upsloping       0 reversible
## 2631   upsloping       0      fixed
## 2632   upsloping       1     normal
## 2633   upsloping       1 reversible
## 2634   upsloping       1      fixed
## 2635   upsloping       3     normal
## 2636   upsloping       3 reversible
## 2637   upsloping       3      fixed
## 2638 downsloping       0     normal
## 2639 downsloping       0 reversible
## 2640 downsloping       0      fixed
## 2641 downsloping       1     normal
## 2642 downsloping       1 reversible
## 2643 downsloping       1      fixed
## 2644 downsloping       3     normal
## 2645 downsloping       3 reversible
## 2646 downsloping       3      fixed
## 2647        flat       0     normal
## 2648        flat       0 reversible
## 2649        flat       0      fixed
## 2650        flat       1     normal
## 2651        flat       1 reversible
## 2652        flat       1      fixed
## 2653        flat       3     normal
## 2654        flat       3 reversible
## 2655        flat       3      fixed
## 2656   upsloping       0     normal
## 2657   upsloping       0 reversible
## 2658   upsloping       0      fixed
## 2659   upsloping       1     normal
## 2660   upsloping       1 reversible
## 2661   upsloping       1      fixed
## 2662   upsloping       3     normal
## 2663   upsloping       3 reversible
## 2664   upsloping       3      fixed
## 2665 downsloping       0     normal
## 2666 downsloping       0 reversible
## 2667 downsloping       0      fixed
## 2668 downsloping       1     normal
## 2669 downsloping       1 reversible
## 2670 downsloping       1      fixed
## 2671 downsloping       3     normal
## 2672 downsloping       3 reversible
## 2673 downsloping       3      fixed
## 2674        flat       0     normal
## 2675        flat       0 reversible
## 2676        flat       0      fixed
## 2677        flat       1     normal
## 2678        flat       1 reversible
## 2679        flat       1      fixed
## 2680        flat       3     normal
## 2681        flat       3 reversible
## 2682        flat       3      fixed
## 2683   upsloping       0     normal
## 2684   upsloping       0 reversible
## 2685   upsloping       0      fixed
## 2686   upsloping       1     normal
## 2687   upsloping       1 reversible
## 2688   upsloping       1      fixed
## 2689   upsloping       3     normal
## 2690   upsloping       3 reversible
## 2691   upsloping       3      fixed
## 2692 downsloping       0     normal
## 2693 downsloping       0 reversible
## 2694 downsloping       0      fixed
## 2695 downsloping       1     normal
## 2696 downsloping       1 reversible
## 2697 downsloping       1      fixed
## 2698 downsloping       3     normal
## 2699 downsloping       3 reversible
## 2700 downsloping       3      fixed
## 2701        flat       0     normal
## 2702        flat       0 reversible
## 2703        flat       0      fixed
## 2704        flat       1     normal
## 2705        flat       1 reversible
## 2706        flat       1      fixed
## 2707        flat       3     normal
## 2708        flat       3 reversible
## 2709        flat       3      fixed
## 2710   upsloping       0     normal
## 2711   upsloping       0 reversible
## 2712   upsloping       0      fixed
## 2713   upsloping       1     normal
## 2714   upsloping       1 reversible
## 2715   upsloping       1      fixed
## 2716   upsloping       3     normal
## 2717   upsloping       3 reversible
## 2718   upsloping       3      fixed
## 2719 downsloping       0     normal
## 2720 downsloping       0 reversible
## 2721 downsloping       0      fixed
## 2722 downsloping       1     normal
## 2723 downsloping       1 reversible
## 2724 downsloping       1      fixed
## 2725 downsloping       3     normal
## 2726 downsloping       3 reversible
## 2727 downsloping       3      fixed
## 2728        flat       0     normal
## 2729        flat       0 reversible
## 2730        flat       0      fixed
## 2731        flat       1     normal
## 2732        flat       1 reversible
## 2733        flat       1      fixed
## 2734        flat       3     normal
## 2735        flat       3 reversible
## 2736        flat       3      fixed
## 2737   upsloping       0     normal
## 2738   upsloping       0 reversible
## 2739   upsloping       0      fixed
## 2740   upsloping       1     normal
## 2741   upsloping       1 reversible
## 2742   upsloping       1      fixed
## 2743   upsloping       3     normal
## 2744   upsloping       3 reversible
## 2745   upsloping       3      fixed
## 2746 downsloping       0     normal
## 2747 downsloping       0 reversible
## 2748 downsloping       0      fixed
## 2749 downsloping       1     normal
## 2750 downsloping       1 reversible
## 2751 downsloping       1      fixed
## 2752 downsloping       3     normal
## 2753 downsloping       3 reversible
## 2754 downsloping       3      fixed
## 2755        flat       0     normal
## 2756        flat       0 reversible
## 2757        flat       0      fixed
## 2758        flat       1     normal
## 2759        flat       1 reversible
## 2760        flat       1      fixed
## 2761        flat       3     normal
## 2762        flat       3 reversible
## 2763        flat       3      fixed
## 2764   upsloping       0     normal
## 2765   upsloping       0 reversible
## 2766   upsloping       0      fixed
## 2767   upsloping       1     normal
## 2768   upsloping       1 reversible
## 2769   upsloping       1      fixed
## 2770   upsloping       3     normal
## 2771   upsloping       3 reversible
## 2772   upsloping       3      fixed
## 2773 downsloping       0     normal
## 2774 downsloping       0 reversible
## 2775 downsloping       0      fixed
## 2776 downsloping       1     normal
## 2777 downsloping       1 reversible
## 2778 downsloping       1      fixed
## 2779 downsloping       3     normal
## 2780 downsloping       3 reversible
## 2781 downsloping       3      fixed
## 2782        flat       0     normal
## 2783        flat       0 reversible
## 2784        flat       0      fixed
## 2785        flat       1     normal
## 2786        flat       1 reversible
## 2787        flat       1      fixed
## 2788        flat       3     normal
## 2789        flat       3 reversible
## 2790        flat       3      fixed
## 2791   upsloping       0     normal
## 2792   upsloping       0 reversible
## 2793   upsloping       0      fixed
## 2794   upsloping       1     normal
## 2795   upsloping       1 reversible
## 2796   upsloping       1      fixed
## 2797   upsloping       3     normal
## 2798   upsloping       3 reversible
## 2799   upsloping       3      fixed
## 2800 downsloping       0     normal
## 2801 downsloping       0 reversible
## 2802 downsloping       0      fixed
## 2803 downsloping       1     normal
## 2804 downsloping       1 reversible
## 2805 downsloping       1      fixed
## 2806 downsloping       3     normal
## 2807 downsloping       3 reversible
## 2808 downsloping       3      fixed
## 2809        flat       0     normal
## 2810        flat       0 reversible
## 2811        flat       0      fixed
## 2812        flat       1     normal
## 2813        flat       1 reversible
## 2814        flat       1      fixed
## 2815        flat       3     normal
## 2816        flat       3 reversible
## 2817        flat       3      fixed
## 2818   upsloping       0     normal
## 2819   upsloping       0 reversible
## 2820   upsloping       0      fixed
## 2821   upsloping       1     normal
## 2822   upsloping       1 reversible
## 2823   upsloping       1      fixed
## 2824   upsloping       3     normal
## 2825   upsloping       3 reversible
## 2826   upsloping       3      fixed
## 2827 downsloping       0     normal
## 2828 downsloping       0 reversible
## 2829 downsloping       0      fixed
## 2830 downsloping       1     normal
## 2831 downsloping       1 reversible
## 2832 downsloping       1      fixed
## 2833 downsloping       3     normal
## 2834 downsloping       3 reversible
## 2835 downsloping       3      fixed
## 2836        flat       0     normal
## 2837        flat       0 reversible
## 2838        flat       0      fixed
## 2839        flat       1     normal
## 2840        flat       1 reversible
## 2841        flat       1      fixed
## 2842        flat       3     normal
## 2843        flat       3 reversible
## 2844        flat       3      fixed
## 2845   upsloping       0     normal
## 2846   upsloping       0 reversible
## 2847   upsloping       0      fixed
## 2848   upsloping       1     normal
## 2849   upsloping       1 reversible
## 2850   upsloping       1      fixed
## 2851   upsloping       3     normal
## 2852   upsloping       3 reversible
## 2853   upsloping       3      fixed
## 2854 downsloping       0     normal
## 2855 downsloping       0 reversible
## 2856 downsloping       0      fixed
## 2857 downsloping       1     normal
## 2858 downsloping       1 reversible
## 2859 downsloping       1      fixed
## 2860 downsloping       3     normal
## 2861 downsloping       3 reversible
## 2862 downsloping       3      fixed
## 2863        flat       0     normal
## 2864        flat       0 reversible
## 2865        flat       0      fixed
## 2866        flat       1     normal
## 2867        flat       1 reversible
## 2868        flat       1      fixed
## 2869        flat       3     normal
## 2870        flat       3 reversible
## 2871        flat       3      fixed
## 2872   upsloping       0     normal
## 2873   upsloping       0 reversible
## 2874   upsloping       0      fixed
## 2875   upsloping       1     normal
## 2876   upsloping       1 reversible
## 2877   upsloping       1      fixed
## 2878   upsloping       3     normal
## 2879   upsloping       3 reversible
## 2880   upsloping       3      fixed
## 2881 downsloping       0     normal
## 2882 downsloping       0 reversible
## 2883 downsloping       0      fixed
## 2884 downsloping       1     normal
## 2885 downsloping       1 reversible
## 2886 downsloping       1      fixed
## 2887 downsloping       3     normal
## 2888 downsloping       3 reversible
## 2889 downsloping       3      fixed
## 2890        flat       0     normal
## 2891        flat       0 reversible
## 2892        flat       0      fixed
## 2893        flat       1     normal
## 2894        flat       1 reversible
## 2895        flat       1      fixed
## 2896        flat       3     normal
## 2897        flat       3 reversible
## 2898        flat       3      fixed
## 2899   upsloping       0     normal
## 2900   upsloping       0 reversible
## 2901   upsloping       0      fixed
## 2902   upsloping       1     normal
## 2903   upsloping       1 reversible
## 2904   upsloping       1      fixed
## 2905   upsloping       3     normal
## 2906   upsloping       3 reversible
## 2907   upsloping       3      fixed
## 2908 downsloping       0     normal
## 2909 downsloping       0 reversible
## 2910 downsloping       0      fixed
## 2911 downsloping       1     normal
## 2912 downsloping       1 reversible
## 2913 downsloping       1      fixed
## 2914 downsloping       3     normal
## 2915 downsloping       3 reversible
## 2916 downsloping       3      fixed
## 2917        flat       0     normal
## 2918        flat       0 reversible
## 2919        flat       0      fixed
## 2920        flat       1     normal
## 2921        flat       1 reversible
## 2922        flat       1      fixed
## 2923        flat       3     normal
## 2924        flat       3 reversible
## 2925        flat       3      fixed
## 2926   upsloping       0     normal
## 2927   upsloping       0 reversible
## 2928   upsloping       0      fixed
## 2929   upsloping       1     normal
## 2930   upsloping       1 reversible
## 2931   upsloping       1      fixed
## 2932   upsloping       3     normal
## 2933   upsloping       3 reversible
## 2934   upsloping       3      fixed
## 2935 downsloping       0     normal
## 2936 downsloping       0 reversible
## 2937 downsloping       0      fixed
## 2938 downsloping       1     normal
## 2939 downsloping       1 reversible
## 2940 downsloping       1      fixed
## 2941 downsloping       3     normal
## 2942 downsloping       3 reversible
## 2943 downsloping       3      fixed
## 2944        flat       0     normal
## 2945        flat       0 reversible
## 2946        flat       0      fixed
## 2947        flat       1     normal
## 2948        flat       1 reversible
## 2949        flat       1      fixed
## 2950        flat       3     normal
## 2951        flat       3 reversible
## 2952        flat       3      fixed
## 2953   upsloping       0     normal
## 2954   upsloping       0 reversible
## 2955   upsloping       0      fixed
## 2956   upsloping       1     normal
## 2957   upsloping       1 reversible
## 2958   upsloping       1      fixed
## 2959   upsloping       3     normal
## 2960   upsloping       3 reversible
## 2961   upsloping       3      fixed
## 2962 downsloping       0     normal
## 2963 downsloping       0 reversible
## 2964 downsloping       0      fixed
## 2965 downsloping       1     normal
## 2966 downsloping       1 reversible
## 2967 downsloping       1      fixed
## 2968 downsloping       3     normal
## 2969 downsloping       3 reversible
## 2970 downsloping       3      fixed
## 2971        flat       0     normal
## 2972        flat       0 reversible
## 2973        flat       0      fixed
## 2974        flat       1     normal
## 2975        flat       1 reversible
## 2976        flat       1      fixed
## 2977        flat       3     normal
## 2978        flat       3 reversible
## 2979        flat       3      fixed
## 2980   upsloping       0     normal
## 2981   upsloping       0 reversible
## 2982   upsloping       0      fixed
## 2983   upsloping       1     normal
## 2984   upsloping       1 reversible
## 2985   upsloping       1      fixed
## 2986   upsloping       3     normal
## 2987   upsloping       3 reversible
## 2988   upsloping       3      fixed
## 2989 downsloping       0     normal
## 2990 downsloping       0 reversible
## 2991 downsloping       0      fixed
## 2992 downsloping       1     normal
## 2993 downsloping       1 reversible
## 2994 downsloping       1      fixed
## 2995 downsloping       3     normal
## 2996 downsloping       3 reversible
## 2997 downsloping       3      fixed
## 2998        flat       0     normal
## 2999        flat       0 reversible
## 3000        flat       0      fixed
## 3001        flat       1     normal
## 3002        flat       1 reversible
## 3003        flat       1      fixed
## 3004        flat       3     normal
## 3005        flat       3 reversible
## 3006        flat       3      fixed
## 3007   upsloping       0     normal
## 3008   upsloping       0 reversible
## 3009   upsloping       0      fixed
## 3010   upsloping       1     normal
## 3011   upsloping       1 reversible
## 3012   upsloping       1      fixed
## 3013   upsloping       3     normal
## 3014   upsloping       3 reversible
## 3015   upsloping       3      fixed
## 3016 downsloping       0     normal
## 3017 downsloping       0 reversible
## 3018 downsloping       0      fixed
## 3019 downsloping       1     normal
## 3020 downsloping       1 reversible
## 3021 downsloping       1      fixed
## 3022 downsloping       3     normal
## 3023 downsloping       3 reversible
## 3024 downsloping       3      fixed
## 3025        flat       0     normal
## 3026        flat       0 reversible
## 3027        flat       0      fixed
## 3028        flat       1     normal
## 3029        flat       1 reversible
## 3030        flat       1      fixed
## 3031        flat       3     normal
## 3032        flat       3 reversible
## 3033        flat       3      fixed
## 3034   upsloping       0     normal
## 3035   upsloping       0 reversible
## 3036   upsloping       0      fixed
## 3037   upsloping       1     normal
## 3038   upsloping       1 reversible
## 3039   upsloping       1      fixed
## 3040   upsloping       3     normal
## 3041   upsloping       3 reversible
## 3042   upsloping       3      fixed
## 3043 downsloping       0     normal
## 3044 downsloping       0 reversible
## 3045 downsloping       0      fixed
## 3046 downsloping       1     normal
## 3047 downsloping       1 reversible
## 3048 downsloping       1      fixed
## 3049 downsloping       3     normal
## 3050 downsloping       3 reversible
## 3051 downsloping       3      fixed
## 3052        flat       0     normal
## 3053        flat       0 reversible
## 3054        flat       0      fixed
## 3055        flat       1     normal
## 3056        flat       1 reversible
## 3057        flat       1      fixed
## 3058        flat       3     normal
## 3059        flat       3 reversible
## 3060        flat       3      fixed
## 3061   upsloping       0     normal
## 3062   upsloping       0 reversible
## 3063   upsloping       0      fixed
## 3064   upsloping       1     normal
## 3065   upsloping       1 reversible
## 3066   upsloping       1      fixed
## 3067   upsloping       3     normal
## 3068   upsloping       3 reversible
## 3069   upsloping       3      fixed
## 3070 downsloping       0     normal
## 3071 downsloping       0 reversible
## 3072 downsloping       0      fixed
## 3073 downsloping       1     normal
## 3074 downsloping       1 reversible
## 3075 downsloping       1      fixed
## 3076 downsloping       3     normal
## 3077 downsloping       3 reversible
## 3078 downsloping       3      fixed
## 3079        flat       0     normal
## 3080        flat       0 reversible
## 3081        flat       0      fixed
## 3082        flat       1     normal
## 3083        flat       1 reversible
## 3084        flat       1      fixed
## 3085        flat       3     normal
## 3086        flat       3 reversible
## 3087        flat       3      fixed
## 3088   upsloping       0     normal
## 3089   upsloping       0 reversible
## 3090   upsloping       0      fixed
## 3091   upsloping       1     normal
## 3092   upsloping       1 reversible
## 3093   upsloping       1      fixed
## 3094   upsloping       3     normal
## 3095   upsloping       3 reversible
## 3096   upsloping       3      fixed
## 3097 downsloping       0     normal
## 3098 downsloping       0 reversible
## 3099 downsloping       0      fixed
## 3100 downsloping       1     normal
## 3101 downsloping       1 reversible
## 3102 downsloping       1      fixed
## 3103 downsloping       3     normal
## 3104 downsloping       3 reversible
## 3105 downsloping       3      fixed
## 3106        flat       0     normal
## 3107        flat       0 reversible
## 3108        flat       0      fixed
## 3109        flat       1     normal
## 3110        flat       1 reversible
## 3111        flat       1      fixed
## 3112        flat       3     normal
## 3113        flat       3 reversible
## 3114        flat       3      fixed
## 3115   upsloping       0     normal
## 3116   upsloping       0 reversible
## 3117   upsloping       0      fixed
## 3118   upsloping       1     normal
## 3119   upsloping       1 reversible
## 3120   upsloping       1      fixed
## 3121   upsloping       3     normal
## 3122   upsloping       3 reversible
## 3123   upsloping       3      fixed
## 3124 downsloping       0     normal
## 3125 downsloping       0 reversible
## 3126 downsloping       0      fixed
## 3127 downsloping       1     normal
## 3128 downsloping       1 reversible
## 3129 downsloping       1      fixed
## 3130 downsloping       3     normal
## 3131 downsloping       3 reversible
## 3132 downsloping       3      fixed
## 3133        flat       0     normal
## 3134        flat       0 reversible
## 3135        flat       0      fixed
## 3136        flat       1     normal
## 3137        flat       1 reversible
## 3138        flat       1      fixed
## 3139        flat       3     normal
## 3140        flat       3 reversible
## 3141        flat       3      fixed
## 3142   upsloping       0     normal
## 3143   upsloping       0 reversible
## 3144   upsloping       0      fixed
## 3145   upsloping       1     normal
## 3146   upsloping       1 reversible
## 3147   upsloping       1      fixed
## 3148   upsloping       3     normal
## 3149   upsloping       3 reversible
## 3150   upsloping       3      fixed
## 3151 downsloping       0     normal
## 3152 downsloping       0 reversible
## 3153 downsloping       0      fixed
## 3154 downsloping       1     normal
## 3155 downsloping       1 reversible
## 3156 downsloping       1      fixed
## 3157 downsloping       3     normal
## 3158 downsloping       3 reversible
## 3159 downsloping       3      fixed
## 3160        flat       0     normal
## 3161        flat       0 reversible
## 3162        flat       0      fixed
## 3163        flat       1     normal
## 3164        flat       1 reversible
## 3165        flat       1      fixed
## 3166        flat       3     normal
## 3167        flat       3 reversible
## 3168        flat       3      fixed
## 3169   upsloping       0     normal
## 3170   upsloping       0 reversible
## 3171   upsloping       0      fixed
## 3172   upsloping       1     normal
## 3173   upsloping       1 reversible
## 3174   upsloping       1      fixed
## 3175   upsloping       3     normal
## 3176   upsloping       3 reversible
## 3177   upsloping       3      fixed
## 3178 downsloping       0     normal
## 3179 downsloping       0 reversible
## 3180 downsloping       0      fixed
## 3181 downsloping       1     normal
## 3182 downsloping       1 reversible
## 3183 downsloping       1      fixed
## 3184 downsloping       3     normal
## 3185 downsloping       3 reversible
## 3186 downsloping       3      fixed
## 3187        flat       0     normal
## 3188        flat       0 reversible
## 3189        flat       0      fixed
## 3190        flat       1     normal
## 3191        flat       1 reversible
## 3192        flat       1      fixed
## 3193        flat       3     normal
## 3194        flat       3 reversible
## 3195        flat       3      fixed
## 3196   upsloping       0     normal
## 3197   upsloping       0 reversible
## 3198   upsloping       0      fixed
## 3199   upsloping       1     normal
## 3200   upsloping       1 reversible
## 3201   upsloping       1      fixed
## 3202   upsloping       3     normal
## 3203   upsloping       3 reversible
## 3204   upsloping       3      fixed
## 3205 downsloping       0     normal
## 3206 downsloping       0 reversible
## 3207 downsloping       0      fixed
## 3208 downsloping       1     normal
## 3209 downsloping       1 reversible
## 3210 downsloping       1      fixed
## 3211 downsloping       3     normal
## 3212 downsloping       3 reversible
## 3213 downsloping       3      fixed
## 3214        flat       0     normal
## 3215        flat       0 reversible
## 3216        flat       0      fixed
## 3217        flat       1     normal
## 3218        flat       1 reversible
## 3219        flat       1      fixed
## 3220        flat       3     normal
## 3221        flat       3 reversible
## 3222        flat       3      fixed
## 3223   upsloping       0     normal
## 3224   upsloping       0 reversible
## 3225   upsloping       0      fixed
## 3226   upsloping       1     normal
## 3227   upsloping       1 reversible
## 3228   upsloping       1      fixed
## 3229   upsloping       3     normal
## 3230   upsloping       3 reversible
## 3231   upsloping       3      fixed
## 3232 downsloping       0     normal
## 3233 downsloping       0 reversible
## 3234 downsloping       0      fixed
## 3235 downsloping       1     normal
## 3236 downsloping       1 reversible
## 3237 downsloping       1      fixed
## 3238 downsloping       3     normal
## 3239 downsloping       3 reversible
## 3240 downsloping       3      fixed
## 3241        flat       0     normal
## 3242        flat       0 reversible
## 3243        flat       0      fixed
## 3244        flat       1     normal
## 3245        flat       1 reversible
## 3246        flat       1      fixed
## 3247        flat       3     normal
## 3248        flat       3 reversible
## 3249        flat       3      fixed
## 3250   upsloping       0     normal
## 3251   upsloping       0 reversible
## 3252   upsloping       0      fixed
## 3253   upsloping       1     normal
## 3254   upsloping       1 reversible
## 3255   upsloping       1      fixed
## 3256   upsloping       3     normal
## 3257   upsloping       3 reversible
## 3258   upsloping       3      fixed
## 3259 downsloping       0     normal
## 3260 downsloping       0 reversible
## 3261 downsloping       0      fixed
## 3262 downsloping       1     normal
## 3263 downsloping       1 reversible
## 3264 downsloping       1      fixed
## 3265 downsloping       3     normal
## 3266 downsloping       3 reversible
## 3267 downsloping       3      fixed
## 3268        flat       0     normal
## 3269        flat       0 reversible
## 3270        flat       0      fixed
## 3271        flat       1     normal
## 3272        flat       1 reversible
## 3273        flat       1      fixed
## 3274        flat       3     normal
## 3275        flat       3 reversible
## 3276        flat       3      fixed
## 3277   upsloping       0     normal
## 3278   upsloping       0 reversible
## 3279   upsloping       0      fixed
## 3280   upsloping       1     normal
## 3281   upsloping       1 reversible
## 3282   upsloping       1      fixed
## 3283   upsloping       3     normal
## 3284   upsloping       3 reversible
## 3285   upsloping       3      fixed
## 3286 downsloping       0     normal
## 3287 downsloping       0 reversible
## 3288 downsloping       0      fixed
## 3289 downsloping       1     normal
## 3290 downsloping       1 reversible
## 3291 downsloping       1      fixed
## 3292 downsloping       3     normal
## 3293 downsloping       3 reversible
## 3294 downsloping       3      fixed
## 3295        flat       0     normal
## 3296        flat       0 reversible
## 3297        flat       0      fixed
## 3298        flat       1     normal
## 3299        flat       1 reversible
## 3300        flat       1      fixed
## 3301        flat       3     normal
## 3302        flat       3 reversible
## 3303        flat       3      fixed
## 3304   upsloping       0     normal
## 3305   upsloping       0 reversible
## 3306   upsloping       0      fixed
## 3307   upsloping       1     normal
## 3308   upsloping       1 reversible
## 3309   upsloping       1      fixed
## 3310   upsloping       3     normal
## 3311   upsloping       3 reversible
## 3312   upsloping       3      fixed
## 3313 downsloping       0     normal
## 3314 downsloping       0 reversible
## 3315 downsloping       0      fixed
## 3316 downsloping       1     normal
## 3317 downsloping       1 reversible
## 3318 downsloping       1      fixed
## 3319 downsloping       3     normal
## 3320 downsloping       3 reversible
## 3321 downsloping       3      fixed
## 3322        flat       0     normal
## 3323        flat       0 reversible
## 3324        flat       0      fixed
## 3325        flat       1     normal
## 3326        flat       1 reversible
## 3327        flat       1      fixed
## 3328        flat       3     normal
## 3329        flat       3 reversible
## 3330        flat       3      fixed
## 3331   upsloping       0     normal
## 3332   upsloping       0 reversible
## 3333   upsloping       0      fixed
## 3334   upsloping       1     normal
## 3335   upsloping       1 reversible
## 3336   upsloping       1      fixed
## 3337   upsloping       3     normal
## 3338   upsloping       3 reversible
## 3339   upsloping       3      fixed
## 3340 downsloping       0     normal
## 3341 downsloping       0 reversible
## 3342 downsloping       0      fixed
## 3343 downsloping       1     normal
## 3344 downsloping       1 reversible
## 3345 downsloping       1      fixed
## 3346 downsloping       3     normal
## 3347 downsloping       3 reversible
## 3348 downsloping       3      fixed
## 3349        flat       0     normal
## 3350        flat       0 reversible
## 3351        flat       0      fixed
## 3352        flat       1     normal
## 3353        flat       1 reversible
## 3354        flat       1      fixed
## 3355        flat       3     normal
## 3356        flat       3 reversible
## 3357        flat       3      fixed
## 3358   upsloping       0     normal
## 3359   upsloping       0 reversible
## 3360   upsloping       0      fixed
## 3361   upsloping       1     normal
## 3362   upsloping       1 reversible
## 3363   upsloping       1      fixed
## 3364   upsloping       3     normal
## 3365   upsloping       3 reversible
## 3366   upsloping       3      fixed
## 3367 downsloping       0     normal
## 3368 downsloping       0 reversible
## 3369 downsloping       0      fixed
## 3370 downsloping       1     normal
## 3371 downsloping       1 reversible
## 3372 downsloping       1      fixed
## 3373 downsloping       3     normal
## 3374 downsloping       3 reversible
## 3375 downsloping       3      fixed
## 3376        flat       0     normal
## 3377        flat       0 reversible
## 3378        flat       0      fixed
## 3379        flat       1     normal
## 3380        flat       1 reversible
## 3381        flat       1      fixed
## 3382        flat       3     normal
## 3383        flat       3 reversible
## 3384        flat       3      fixed
## 3385   upsloping       0     normal
## 3386   upsloping       0 reversible
## 3387   upsloping       0      fixed
## 3388   upsloping       1     normal
## 3389   upsloping       1 reversible
## 3390   upsloping       1      fixed
## 3391   upsloping       3     normal
## 3392   upsloping       3 reversible
## 3393   upsloping       3      fixed
## 3394 downsloping       0     normal
## 3395 downsloping       0 reversible
## 3396 downsloping       0      fixed
## 3397 downsloping       1     normal
## 3398 downsloping       1 reversible
## 3399 downsloping       1      fixed
## 3400 downsloping       3     normal
## 3401 downsloping       3 reversible
## 3402 downsloping       3      fixed
## 3403        flat       0     normal
## 3404        flat       0 reversible
## 3405        flat       0      fixed
## 3406        flat       1     normal
## 3407        flat       1 reversible
## 3408        flat       1      fixed
## 3409        flat       3     normal
## 3410        flat       3 reversible
## 3411        flat       3      fixed
## 3412   upsloping       0     normal
## 3413   upsloping       0 reversible
## 3414   upsloping       0      fixed
## 3415   upsloping       1     normal
## 3416   upsloping       1 reversible
## 3417   upsloping       1      fixed
## 3418   upsloping       3     normal
## 3419   upsloping       3 reversible
## 3420   upsloping       3      fixed
## 3421 downsloping       0     normal
## 3422 downsloping       0 reversible
## 3423 downsloping       0      fixed
## 3424 downsloping       1     normal
## 3425 downsloping       1 reversible
## 3426 downsloping       1      fixed
## 3427 downsloping       3     normal
## 3428 downsloping       3 reversible
## 3429 downsloping       3      fixed
## 3430        flat       0     normal
## 3431        flat       0 reversible
## 3432        flat       0      fixed
## 3433        flat       1     normal
## 3434        flat       1 reversible
## 3435        flat       1      fixed
## 3436        flat       3     normal
## 3437        flat       3 reversible
## 3438        flat       3      fixed
## 3439   upsloping       0     normal
## 3440   upsloping       0 reversible
## 3441   upsloping       0      fixed
## 3442   upsloping       1     normal
## 3443   upsloping       1 reversible
## 3444   upsloping       1      fixed
## 3445   upsloping       3     normal
## 3446   upsloping       3 reversible
## 3447   upsloping       3      fixed
## 3448 downsloping       0     normal
## 3449 downsloping       0 reversible
## 3450 downsloping       0      fixed
## 3451 downsloping       1     normal
## 3452 downsloping       1 reversible
## 3453 downsloping       1      fixed
## 3454 downsloping       3     normal
## 3455 downsloping       3 reversible
## 3456 downsloping       3      fixed
## 3457        flat       0     normal
## 3458        flat       0 reversible
## 3459        flat       0      fixed
## 3460        flat       1     normal
## 3461        flat       1 reversible
## 3462        flat       1      fixed
## 3463        flat       3     normal
## 3464        flat       3 reversible
## 3465        flat       3      fixed
## 3466   upsloping       0     normal
## 3467   upsloping       0 reversible
## 3468   upsloping       0      fixed
## 3469   upsloping       1     normal
## 3470   upsloping       1 reversible
## 3471   upsloping       1      fixed
## 3472   upsloping       3     normal
## 3473   upsloping       3 reversible
## 3474   upsloping       3      fixed
## 3475 downsloping       0     normal
## 3476 downsloping       0 reversible
## 3477 downsloping       0      fixed
## 3478 downsloping       1     normal
## 3479 downsloping       1 reversible
## 3480 downsloping       1      fixed
## 3481 downsloping       3     normal
## 3482 downsloping       3 reversible
## 3483 downsloping       3      fixed
## 3484        flat       0     normal
## 3485        flat       0 reversible
## 3486        flat       0      fixed
## 3487        flat       1     normal
## 3488        flat       1 reversible
## 3489        flat       1      fixed
## 3490        flat       3     normal
## 3491        flat       3 reversible
## 3492        flat       3      fixed
## 3493   upsloping       0     normal
## 3494   upsloping       0 reversible
## 3495   upsloping       0      fixed
## 3496   upsloping       1     normal
## 3497   upsloping       1 reversible
## 3498   upsloping       1      fixed
## 3499   upsloping       3     normal
## 3500   upsloping       3 reversible
## 3501   upsloping       3      fixed
## 3502 downsloping       0     normal
## 3503 downsloping       0 reversible
## 3504 downsloping       0      fixed
## 3505 downsloping       1     normal
## 3506 downsloping       1 reversible
## 3507 downsloping       1      fixed
## 3508 downsloping       3     normal
## 3509 downsloping       3 reversible
## 3510 downsloping       3      fixed
## 3511        flat       0     normal
## 3512        flat       0 reversible
## 3513        flat       0      fixed
## 3514        flat       1     normal
## 3515        flat       1 reversible
## 3516        flat       1      fixed
## 3517        flat       3     normal
## 3518        flat       3 reversible
## 3519        flat       3      fixed
## 3520   upsloping       0     normal
## 3521   upsloping       0 reversible
## 3522   upsloping       0      fixed
## 3523   upsloping       1     normal
## 3524   upsloping       1 reversible
## 3525   upsloping       1      fixed
## 3526   upsloping       3     normal
## 3527   upsloping       3 reversible
## 3528   upsloping       3      fixed
## 3529 downsloping       0     normal
## 3530 downsloping       0 reversible
## 3531 downsloping       0      fixed
## 3532 downsloping       1     normal
## 3533 downsloping       1 reversible
## 3534 downsloping       1      fixed
## 3535 downsloping       3     normal
## 3536 downsloping       3 reversible
## 3537 downsloping       3      fixed
## 3538        flat       0     normal
## 3539        flat       0 reversible
## 3540        flat       0      fixed
## 3541        flat       1     normal
## 3542        flat       1 reversible
## 3543        flat       1      fixed
## 3544        flat       3     normal
## 3545        flat       3 reversible
## 3546        flat       3      fixed
## 3547   upsloping       0     normal
## 3548   upsloping       0 reversible
## 3549   upsloping       0      fixed
## 3550   upsloping       1     normal
## 3551   upsloping       1 reversible
## 3552   upsloping       1      fixed
## 3553   upsloping       3     normal
## 3554   upsloping       3 reversible
## 3555   upsloping       3      fixed
## 3556 downsloping       0     normal
## 3557 downsloping       0 reversible
## 3558 downsloping       0      fixed
## 3559 downsloping       1     normal
## 3560 downsloping       1 reversible
## 3561 downsloping       1      fixed
## 3562 downsloping       3     normal
## 3563 downsloping       3 reversible
## 3564 downsloping       3      fixed
## 3565        flat       0     normal
## 3566        flat       0 reversible
## 3567        flat       0      fixed
## 3568        flat       1     normal
## 3569        flat       1 reversible
## 3570        flat       1      fixed
## 3571        flat       3     normal
## 3572        flat       3 reversible
## 3573        flat       3      fixed
## 3574   upsloping       0     normal
## 3575   upsloping       0 reversible
## 3576   upsloping       0      fixed
## 3577   upsloping       1     normal
## 3578   upsloping       1 reversible
## 3579   upsloping       1      fixed
## 3580   upsloping       3     normal
## 3581   upsloping       3 reversible
## 3582   upsloping       3      fixed
## 3583 downsloping       0     normal
## 3584 downsloping       0 reversible
## 3585 downsloping       0      fixed
## 3586 downsloping       1     normal
## 3587 downsloping       1 reversible
## 3588 downsloping       1      fixed
## 3589 downsloping       3     normal
## 3590 downsloping       3 reversible
## 3591 downsloping       3      fixed
## 3592        flat       0     normal
## 3593        flat       0 reversible
## 3594        flat       0      fixed
## 3595        flat       1     normal
## 3596        flat       1 reversible
## 3597        flat       1      fixed
## 3598        flat       3     normal
## 3599        flat       3 reversible
## 3600        flat       3      fixed
## 3601   upsloping       0     normal
## 3602   upsloping       0 reversible
## 3603   upsloping       0      fixed
## 3604   upsloping       1     normal
## 3605   upsloping       1 reversible
## 3606   upsloping       1      fixed
## 3607   upsloping       3     normal
## 3608   upsloping       3 reversible
## 3609   upsloping       3      fixed
## 3610 downsloping       0     normal
## 3611 downsloping       0 reversible
## 3612 downsloping       0      fixed
## 3613 downsloping       1     normal
## 3614 downsloping       1 reversible
## 3615 downsloping       1      fixed
## 3616 downsloping       3     normal
## 3617 downsloping       3 reversible
## 3618 downsloping       3      fixed
## 3619        flat       0     normal
## 3620        flat       0 reversible
## 3621        flat       0      fixed
## 3622        flat       1     normal
## 3623        flat       1 reversible
## 3624        flat       1      fixed
## 3625        flat       3     normal
## 3626        flat       3 reversible
## 3627        flat       3      fixed
## 3628   upsloping       0     normal
## 3629   upsloping       0 reversible
## 3630   upsloping       0      fixed
## 3631   upsloping       1     normal
## 3632   upsloping       1 reversible
## 3633   upsloping       1      fixed
## 3634   upsloping       3     normal
## 3635   upsloping       3 reversible
## 3636   upsloping       3      fixed
## 3637 downsloping       0     normal
## 3638 downsloping       0 reversible
## 3639 downsloping       0      fixed
## 3640 downsloping       1     normal
## 3641 downsloping       1 reversible
## 3642 downsloping       1      fixed
## 3643 downsloping       3     normal
## 3644 downsloping       3 reversible
## 3645 downsloping       3      fixed
## 3646        flat       0     normal
## 3647        flat       0 reversible
## 3648        flat       0      fixed
## 3649        flat       1     normal
## 3650        flat       1 reversible
## 3651        flat       1      fixed
## 3652        flat       3     normal
## 3653        flat       3 reversible
## 3654        flat       3      fixed
## 3655   upsloping       0     normal
## 3656   upsloping       0 reversible
## 3657   upsloping       0      fixed
## 3658   upsloping       1     normal
## 3659   upsloping       1 reversible
## 3660   upsloping       1      fixed
## 3661   upsloping       3     normal
## 3662   upsloping       3 reversible
## 3663   upsloping       3      fixed
## 3664 downsloping       0     normal
## 3665 downsloping       0 reversible
## 3666 downsloping       0      fixed
## 3667 downsloping       1     normal
## 3668 downsloping       1 reversible
## 3669 downsloping       1      fixed
## 3670 downsloping       3     normal
## 3671 downsloping       3 reversible
## 3672 downsloping       3      fixed
## 3673        flat       0     normal
## 3674        flat       0 reversible
## 3675        flat       0      fixed
## 3676        flat       1     normal
## 3677        flat       1 reversible
## 3678        flat       1      fixed
## 3679        flat       3     normal
## 3680        flat       3 reversible
## 3681        flat       3      fixed
## 3682   upsloping       0     normal
## 3683   upsloping       0 reversible
## 3684   upsloping       0      fixed
## 3685   upsloping       1     normal
## 3686   upsloping       1 reversible
## 3687   upsloping       1      fixed
## 3688   upsloping       3     normal
## 3689   upsloping       3 reversible
## 3690   upsloping       3      fixed
## 3691 downsloping       0     normal
## 3692 downsloping       0 reversible
## 3693 downsloping       0      fixed
## 3694 downsloping       1     normal
## 3695 downsloping       1 reversible
## 3696 downsloping       1      fixed
## 3697 downsloping       3     normal
## 3698 downsloping       3 reversible
## 3699 downsloping       3      fixed
## 3700        flat       0     normal
## 3701        flat       0 reversible
## 3702        flat       0      fixed
## 3703        flat       1     normal
## 3704        flat       1 reversible
## 3705        flat       1      fixed
## 3706        flat       3     normal
## 3707        flat       3 reversible
## 3708        flat       3      fixed
## 3709   upsloping       0     normal
## 3710   upsloping       0 reversible
## 3711   upsloping       0      fixed
## 3712   upsloping       1     normal
## 3713   upsloping       1 reversible
## 3714   upsloping       1      fixed
## 3715   upsloping       3     normal
## 3716   upsloping       3 reversible
## 3717   upsloping       3      fixed
## 3718 downsloping       0     normal
## 3719 downsloping       0 reversible
## 3720 downsloping       0      fixed
## 3721 downsloping       1     normal
## 3722 downsloping       1 reversible
## 3723 downsloping       1      fixed
## 3724 downsloping       3     normal
## 3725 downsloping       3 reversible
## 3726 downsloping       3      fixed
## 3727        flat       0     normal
## 3728        flat       0 reversible
## 3729        flat       0      fixed
## 3730        flat       1     normal
## 3731        flat       1 reversible
## 3732        flat       1      fixed
## 3733        flat       3     normal
## 3734        flat       3 reversible
## 3735        flat       3      fixed
## 3736   upsloping       0     normal
## 3737   upsloping       0 reversible
## 3738   upsloping       0      fixed
## 3739   upsloping       1     normal
## 3740   upsloping       1 reversible
## 3741   upsloping       1      fixed
## 3742   upsloping       3     normal
## 3743   upsloping       3 reversible
## 3744   upsloping       3      fixed
## 3745 downsloping       0     normal
## 3746 downsloping       0 reversible
## 3747 downsloping       0      fixed
## 3748 downsloping       1     normal
## 3749 downsloping       1 reversible
## 3750 downsloping       1      fixed
## 3751 downsloping       3     normal
## 3752 downsloping       3 reversible
## 3753 downsloping       3      fixed
## 3754        flat       0     normal
## 3755        flat       0 reversible
## 3756        flat       0      fixed
## 3757        flat       1     normal
## 3758        flat       1 reversible
## 3759        flat       1      fixed
## 3760        flat       3     normal
## 3761        flat       3 reversible
## 3762        flat       3      fixed
## 3763   upsloping       0     normal
## 3764   upsloping       0 reversible
## 3765   upsloping       0      fixed
## 3766   upsloping       1     normal
## 3767   upsloping       1 reversible
## 3768   upsloping       1      fixed
## 3769   upsloping       3     normal
## 3770   upsloping       3 reversible
## 3771   upsloping       3      fixed
## 3772 downsloping       0     normal
## 3773 downsloping       0 reversible
## 3774 downsloping       0      fixed
## 3775 downsloping       1     normal
## 3776 downsloping       1 reversible
## 3777 downsloping       1      fixed
## 3778 downsloping       3     normal
## 3779 downsloping       3 reversible
## 3780 downsloping       3      fixed
## 3781        flat       0     normal
## 3782        flat       0 reversible
## 3783        flat       0      fixed
## 3784        flat       1     normal
## 3785        flat       1 reversible
## 3786        flat       1      fixed
## 3787        flat       3     normal
## 3788        flat       3 reversible
## 3789        flat       3      fixed
## 3790   upsloping       0     normal
## 3791   upsloping       0 reversible
## 3792   upsloping       0      fixed
## 3793   upsloping       1     normal
## 3794   upsloping       1 reversible
## 3795   upsloping       1      fixed
## 3796   upsloping       3     normal
## 3797   upsloping       3 reversible
## 3798   upsloping       3      fixed
## 3799 downsloping       0     normal
## 3800 downsloping       0 reversible
## 3801 downsloping       0      fixed
## 3802 downsloping       1     normal
## 3803 downsloping       1 reversible
## 3804 downsloping       1      fixed
## 3805 downsloping       3     normal
## 3806 downsloping       3 reversible
## 3807 downsloping       3      fixed
## 3808        flat       0     normal
## 3809        flat       0 reversible
## 3810        flat       0      fixed
## 3811        flat       1     normal
## 3812        flat       1 reversible
## 3813        flat       1      fixed
## 3814        flat       3     normal
## 3815        flat       3 reversible
## 3816        flat       3      fixed
## 3817   upsloping       0     normal
## 3818   upsloping       0 reversible
## 3819   upsloping       0      fixed
## 3820   upsloping       1     normal
## 3821   upsloping       1 reversible
## 3822   upsloping       1      fixed
## 3823   upsloping       3     normal
## 3824   upsloping       3 reversible
## 3825   upsloping       3      fixed
## 3826 downsloping       0     normal
## 3827 downsloping       0 reversible
## 3828 downsloping       0      fixed
## 3829 downsloping       1     normal
## 3830 downsloping       1 reversible
## 3831 downsloping       1      fixed
## 3832 downsloping       3     normal
## 3833 downsloping       3 reversible
## 3834 downsloping       3      fixed
## 3835        flat       0     normal
## 3836        flat       0 reversible
## 3837        flat       0      fixed
## 3838        flat       1     normal
## 3839        flat       1 reversible
## 3840        flat       1      fixed
## 3841        flat       3     normal
## 3842        flat       3 reversible
## 3843        flat       3      fixed
## 3844   upsloping       0     normal
## 3845   upsloping       0 reversible
## 3846   upsloping       0      fixed
## 3847   upsloping       1     normal
## 3848   upsloping       1 reversible
## 3849   upsloping       1      fixed
## 3850   upsloping       3     normal
## 3851   upsloping       3 reversible
## 3852   upsloping       3      fixed
## 3853 downsloping       0     normal
## 3854 downsloping       0 reversible
## 3855 downsloping       0      fixed
## 3856 downsloping       1     normal
## 3857 downsloping       1 reversible
## 3858 downsloping       1      fixed
## 3859 downsloping       3     normal
## 3860 downsloping       3 reversible
## 3861 downsloping       3      fixed
## 3862        flat       0     normal
## 3863        flat       0 reversible
## 3864        flat       0      fixed
## 3865        flat       1     normal
## 3866        flat       1 reversible
## 3867        flat       1      fixed
## 3868        flat       3     normal
## 3869        flat       3 reversible
## 3870        flat       3      fixed
## 3871   upsloping       0     normal
## 3872   upsloping       0 reversible
## 3873   upsloping       0      fixed
## 3874   upsloping       1     normal
## 3875   upsloping       1 reversible
## 3876   upsloping       1      fixed
## 3877   upsloping       3     normal
## 3878   upsloping       3 reversible
## 3879   upsloping       3      fixed
## 3880 downsloping       0     normal
## 3881 downsloping       0 reversible
## 3882 downsloping       0      fixed
## 3883 downsloping       1     normal
## 3884 downsloping       1 reversible
## 3885 downsloping       1      fixed
## 3886 downsloping       3     normal
## 3887 downsloping       3 reversible
## 3888 downsloping       3      fixed
## 3889        flat       0     normal
## 3890        flat       0 reversible
## 3891        flat       0      fixed
## 3892        flat       1     normal
## 3893        flat       1 reversible
## 3894        flat       1      fixed
## 3895        flat       3     normal
## 3896        flat       3 reversible
## 3897        flat       3      fixed
## 3898   upsloping       0     normal
## 3899   upsloping       0 reversible
## 3900   upsloping       0      fixed
## 3901   upsloping       1     normal
## 3902   upsloping       1 reversible
## 3903   upsloping       1      fixed
## 3904   upsloping       3     normal
## 3905   upsloping       3 reversible
## 3906   upsloping       3      fixed
## 3907 downsloping       0     normal
## 3908 downsloping       0 reversible
## 3909 downsloping       0      fixed
## 3910 downsloping       1     normal
## 3911 downsloping       1 reversible
## 3912 downsloping       1      fixed
## 3913 downsloping       3     normal
## 3914 downsloping       3 reversible
## 3915 downsloping       3      fixed
## 3916        flat       0     normal
## 3917        flat       0 reversible
## 3918        flat       0      fixed
## 3919        flat       1     normal
## 3920        flat       1 reversible
## 3921        flat       1      fixed
## 3922        flat       3     normal
## 3923        flat       3 reversible
## 3924        flat       3      fixed
## 3925   upsloping       0     normal
## 3926   upsloping       0 reversible
## 3927   upsloping       0      fixed
## 3928   upsloping       1     normal
## 3929   upsloping       1 reversible
## 3930   upsloping       1      fixed
## 3931   upsloping       3     normal
## 3932   upsloping       3 reversible
## 3933   upsloping       3      fixed
## 3934 downsloping       0     normal
## 3935 downsloping       0 reversible
## 3936 downsloping       0      fixed
## 3937 downsloping       1     normal
## 3938 downsloping       1 reversible
## 3939 downsloping       1      fixed
## 3940 downsloping       3     normal
## 3941 downsloping       3 reversible
## 3942 downsloping       3      fixed
## 3943        flat       0     normal
## 3944        flat       0 reversible
## 3945        flat       0      fixed
## 3946        flat       1     normal
## 3947        flat       1 reversible
## 3948        flat       1      fixed
## 3949        flat       3     normal
## 3950        flat       3 reversible
## 3951        flat       3      fixed
## 3952   upsloping       0     normal
## 3953   upsloping       0 reversible
## 3954   upsloping       0      fixed
## 3955   upsloping       1     normal
## 3956   upsloping       1 reversible
## 3957   upsloping       1      fixed
## 3958   upsloping       3     normal
## 3959   upsloping       3 reversible
## 3960   upsloping       3      fixed
## 3961 downsloping       0     normal
## 3962 downsloping       0 reversible
## 3963 downsloping       0      fixed
## 3964 downsloping       1     normal
## 3965 downsloping       1 reversible
## 3966 downsloping       1      fixed
## 3967 downsloping       3     normal
## 3968 downsloping       3 reversible
## 3969 downsloping       3      fixed
## 3970        flat       0     normal
## 3971        flat       0 reversible
## 3972        flat       0      fixed
## 3973        flat       1     normal
## 3974        flat       1 reversible
## 3975        flat       1      fixed
## 3976        flat       3     normal
## 3977        flat       3 reversible
## 3978        flat       3      fixed
## 3979   upsloping       0     normal
## 3980   upsloping       0 reversible
## 3981   upsloping       0      fixed
## 3982   upsloping       1     normal
## 3983   upsloping       1 reversible
## 3984   upsloping       1      fixed
## 3985   upsloping       3     normal
## 3986   upsloping       3 reversible
## 3987   upsloping       3      fixed
## 3988 downsloping       0     normal
## 3989 downsloping       0 reversible
## 3990 downsloping       0      fixed
## 3991 downsloping       1     normal
## 3992 downsloping       1 reversible
## 3993 downsloping       1      fixed
## 3994 downsloping       3     normal
## 3995 downsloping       3 reversible
## 3996 downsloping       3      fixed
## 3997        flat       0     normal
## 3998        flat       0 reversible
## 3999        flat       0      fixed
## 4000        flat       1     normal
## 4001        flat       1 reversible
## 4002        flat       1      fixed
## 4003        flat       3     normal
## 4004        flat       3 reversible
## 4005        flat       3      fixed
## 4006   upsloping       0     normal
## 4007   upsloping       0 reversible
## 4008   upsloping       0      fixed
## 4009   upsloping       1     normal
## 4010   upsloping       1 reversible
## 4011   upsloping       1      fixed
## 4012   upsloping       3     normal
## 4013   upsloping       3 reversible
## 4014   upsloping       3      fixed
## 4015 downsloping       0     normal
## 4016 downsloping       0 reversible
## 4017 downsloping       0      fixed
## 4018 downsloping       1     normal
## 4019 downsloping       1 reversible
## 4020 downsloping       1      fixed
## 4021 downsloping       3     normal
## 4022 downsloping       3 reversible
## 4023 downsloping       3      fixed
## 4024        flat       0     normal
## 4025        flat       0 reversible
## 4026        flat       0      fixed
## 4027        flat       1     normal
## 4028        flat       1 reversible
## 4029        flat       1      fixed
## 4030        flat       3     normal
## 4031        flat       3 reversible
## 4032        flat       3      fixed
## 4033   upsloping       0     normal
## 4034   upsloping       0 reversible
## 4035   upsloping       0      fixed
## 4036   upsloping       1     normal
## 4037   upsloping       1 reversible
## 4038   upsloping       1      fixed
## 4039   upsloping       3     normal
## 4040   upsloping       3 reversible
## 4041   upsloping       3      fixed
## 4042 downsloping       0     normal
## 4043 downsloping       0 reversible
## 4044 downsloping       0      fixed
## 4045 downsloping       1     normal
## 4046 downsloping       1 reversible
## 4047 downsloping       1      fixed
## 4048 downsloping       3     normal
## 4049 downsloping       3 reversible
## 4050 downsloping       3      fixed
## 4051        flat       0     normal
## 4052        flat       0 reversible
## 4053        flat       0      fixed
## 4054        flat       1     normal
## 4055        flat       1 reversible
## 4056        flat       1      fixed
## 4057        flat       3     normal
## 4058        flat       3 reversible
## 4059        flat       3      fixed
## 4060   upsloping       0     normal
## 4061   upsloping       0 reversible
## 4062   upsloping       0      fixed
## 4063   upsloping       1     normal
## 4064   upsloping       1 reversible
## 4065   upsloping       1      fixed
## 4066   upsloping       3     normal
## 4067   upsloping       3 reversible
## 4068   upsloping       3      fixed
## 4069 downsloping       0     normal
## 4070 downsloping       0 reversible
## 4071 downsloping       0      fixed
## 4072 downsloping       1     normal
## 4073 downsloping       1 reversible
## 4074 downsloping       1      fixed
## 4075 downsloping       3     normal
## 4076 downsloping       3 reversible
## 4077 downsloping       3      fixed
## 4078        flat       0     normal
## 4079        flat       0 reversible
## 4080        flat       0      fixed
## 4081        flat       1     normal
## 4082        flat       1 reversible
## 4083        flat       1      fixed
## 4084        flat       3     normal
## 4085        flat       3 reversible
## 4086        flat       3      fixed
## 4087   upsloping       0     normal
## 4088   upsloping       0 reversible
## 4089   upsloping       0      fixed
## 4090   upsloping       1     normal
## 4091   upsloping       1 reversible
## 4092   upsloping       1      fixed
## 4093   upsloping       3     normal
## 4094   upsloping       3 reversible
## 4095   upsloping       3      fixed
## 4096 downsloping       0     normal
## 4097 downsloping       0 reversible
## 4098 downsloping       0      fixed
## 4099 downsloping       1     normal
## 4100 downsloping       1 reversible
## 4101 downsloping       1      fixed
## 4102 downsloping       3     normal
## 4103 downsloping       3 reversible
## 4104 downsloping       3      fixed
## 4105        flat       0     normal
## 4106        flat       0 reversible
## 4107        flat       0      fixed
## 4108        flat       1     normal
## 4109        flat       1 reversible
## 4110        flat       1      fixed
## 4111        flat       3     normal
## 4112        flat       3 reversible
## 4113        flat       3      fixed
## 4114   upsloping       0     normal
## 4115   upsloping       0 reversible
## 4116   upsloping       0      fixed
## 4117   upsloping       1     normal
## 4118   upsloping       1 reversible
## 4119   upsloping       1      fixed
## 4120   upsloping       3     normal
## 4121   upsloping       3 reversible
## 4122   upsloping       3      fixed
## 4123 downsloping       0     normal
## 4124 downsloping       0 reversible
## 4125 downsloping       0      fixed
## 4126 downsloping       1     normal
## 4127 downsloping       1 reversible
## 4128 downsloping       1      fixed
## 4129 downsloping       3     normal
## 4130 downsloping       3 reversible
## 4131 downsloping       3      fixed
## 4132        flat       0     normal
## 4133        flat       0 reversible
## 4134        flat       0      fixed
## 4135        flat       1     normal
## 4136        flat       1 reversible
## 4137        flat       1      fixed
## 4138        flat       3     normal
## 4139        flat       3 reversible
## 4140        flat       3      fixed
## 4141   upsloping       0     normal
## 4142   upsloping       0 reversible
## 4143   upsloping       0      fixed
## 4144   upsloping       1     normal
## 4145   upsloping       1 reversible
## 4146   upsloping       1      fixed
## 4147   upsloping       3     normal
## 4148   upsloping       3 reversible
## 4149   upsloping       3      fixed
## 4150 downsloping       0     normal
## 4151 downsloping       0 reversible
## 4152 downsloping       0      fixed
## 4153 downsloping       1     normal
## 4154 downsloping       1 reversible
## 4155 downsloping       1      fixed
## 4156 downsloping       3     normal
## 4157 downsloping       3 reversible
## 4158 downsloping       3      fixed
## 4159        flat       0     normal
## 4160        flat       0 reversible
## 4161        flat       0      fixed
## 4162        flat       1     normal
## 4163        flat       1 reversible
## 4164        flat       1      fixed
## 4165        flat       3     normal
## 4166        flat       3 reversible
## 4167        flat       3      fixed
## 4168   upsloping       0     normal
## 4169   upsloping       0 reversible
## 4170   upsloping       0      fixed
## 4171   upsloping       1     normal
## 4172   upsloping       1 reversible
## 4173   upsloping       1      fixed
## 4174   upsloping       3     normal
## 4175   upsloping       3 reversible
## 4176   upsloping       3      fixed
## 4177 downsloping       0     normal
## 4178 downsloping       0 reversible
## 4179 downsloping       0      fixed
## 4180 downsloping       1     normal
## 4181 downsloping       1 reversible
## 4182 downsloping       1      fixed
## 4183 downsloping       3     normal
## 4184 downsloping       3 reversible
## 4185 downsloping       3      fixed
## 4186        flat       0     normal
## 4187        flat       0 reversible
## 4188        flat       0      fixed
## 4189        flat       1     normal
## 4190        flat       1 reversible
## 4191        flat       1      fixed
## 4192        flat       3     normal
## 4193        flat       3 reversible
## 4194        flat       3      fixed
## 4195   upsloping       0     normal
## 4196   upsloping       0 reversible
## 4197   upsloping       0      fixed
## 4198   upsloping       1     normal
## 4199   upsloping       1 reversible
## 4200   upsloping       1      fixed
## 4201   upsloping       3     normal
## 4202   upsloping       3 reversible
## 4203   upsloping       3      fixed
## 4204 downsloping       0     normal
## 4205 downsloping       0 reversible
## 4206 downsloping       0      fixed
## 4207 downsloping       1     normal
## 4208 downsloping       1 reversible
## 4209 downsloping       1      fixed
## 4210 downsloping       3     normal
## 4211 downsloping       3 reversible
## 4212 downsloping       3      fixed
## 4213        flat       0     normal
## 4214        flat       0 reversible
## 4215        flat       0      fixed
## 4216        flat       1     normal
## 4217        flat       1 reversible
## 4218        flat       1      fixed
## 4219        flat       3     normal
## 4220        flat       3 reversible
## 4221        flat       3      fixed
## 4222   upsloping       0     normal
## 4223   upsloping       0 reversible
## 4224   upsloping       0      fixed
## 4225   upsloping       1     normal
## 4226   upsloping       1 reversible
## 4227   upsloping       1      fixed
## 4228   upsloping       3     normal
## 4229   upsloping       3 reversible
## 4230   upsloping       3      fixed
## 4231 downsloping       0     normal
## 4232 downsloping       0 reversible
## 4233 downsloping       0      fixed
## 4234 downsloping       1     normal
## 4235 downsloping       1 reversible
## 4236 downsloping       1      fixed
## 4237 downsloping       3     normal
## 4238 downsloping       3 reversible
## 4239 downsloping       3      fixed
## 4240        flat       0     normal
## 4241        flat       0 reversible
## 4242        flat       0      fixed
## 4243        flat       1     normal
## 4244        flat       1 reversible
## 4245        flat       1      fixed
## 4246        flat       3     normal
## 4247        flat       3 reversible
## 4248        flat       3      fixed
## 4249   upsloping       0     normal
## 4250   upsloping       0 reversible
## 4251   upsloping       0      fixed
## 4252   upsloping       1     normal
## 4253   upsloping       1 reversible
## 4254   upsloping       1      fixed
## 4255   upsloping       3     normal
## 4256   upsloping       3 reversible
## 4257   upsloping       3      fixed
## 4258 downsloping       0     normal
## 4259 downsloping       0 reversible
## 4260 downsloping       0      fixed
## 4261 downsloping       1     normal
## 4262 downsloping       1 reversible
## 4263 downsloping       1      fixed
## 4264 downsloping       3     normal
## 4265 downsloping       3 reversible
## 4266 downsloping       3      fixed
## 4267        flat       0     normal
## 4268        flat       0 reversible
## 4269        flat       0      fixed
## 4270        flat       1     normal
## 4271        flat       1 reversible
## 4272        flat       1      fixed
## 4273        flat       3     normal
## 4274        flat       3 reversible
## 4275        flat       3      fixed
## 4276   upsloping       0     normal
## 4277   upsloping       0 reversible
## 4278   upsloping       0      fixed
## 4279   upsloping       1     normal
## 4280   upsloping       1 reversible
## 4281   upsloping       1      fixed
## 4282   upsloping       3     normal
## 4283   upsloping       3 reversible
## 4284   upsloping       3      fixed
## 4285 downsloping       0     normal
## 4286 downsloping       0 reversible
## 4287 downsloping       0      fixed
## 4288 downsloping       1     normal
## 4289 downsloping       1 reversible
## 4290 downsloping       1      fixed
## 4291 downsloping       3     normal
## 4292 downsloping       3 reversible
## 4293 downsloping       3      fixed
## 4294        flat       0     normal
## 4295        flat       0 reversible
## 4296        flat       0      fixed
## 4297        flat       1     normal
## 4298        flat       1 reversible
## 4299        flat       1      fixed
## 4300        flat       3     normal
## 4301        flat       3 reversible
## 4302        flat       3      fixed
## 4303   upsloping       0     normal
## 4304   upsloping       0 reversible
## 4305   upsloping       0      fixed
## 4306   upsloping       1     normal
## 4307   upsloping       1 reversible
## 4308   upsloping       1      fixed
## 4309   upsloping       3     normal
## 4310   upsloping       3 reversible
## 4311   upsloping       3      fixed
## 4312 downsloping       0     normal
## 4313 downsloping       0 reversible
## 4314 downsloping       0      fixed
## 4315 downsloping       1     normal
## 4316 downsloping       1 reversible
## 4317 downsloping       1      fixed
## 4318 downsloping       3     normal
## 4319 downsloping       3 reversible
## 4320 downsloping       3      fixed
## 4321        flat       0     normal
## 4322        flat       0 reversible
## 4323        flat       0      fixed
## 4324        flat       1     normal
## 4325        flat       1 reversible
## 4326        flat       1      fixed
## 4327        flat       3     normal
## 4328        flat       3 reversible
## 4329        flat       3      fixed
## 4330   upsloping       0     normal
## 4331   upsloping       0 reversible
## 4332   upsloping       0      fixed
## 4333   upsloping       1     normal
## 4334   upsloping       1 reversible
## 4335   upsloping       1      fixed
## 4336   upsloping       3     normal
## 4337   upsloping       3 reversible
## 4338   upsloping       3      fixed
## 4339 downsloping       0     normal
## 4340 downsloping       0 reversible
## 4341 downsloping       0      fixed
## 4342 downsloping       1     normal
## 4343 downsloping       1 reversible
## 4344 downsloping       1      fixed
## 4345 downsloping       3     normal
## 4346 downsloping       3 reversible
## 4347 downsloping       3      fixed
## 4348        flat       0     normal
## 4349        flat       0 reversible
## 4350        flat       0      fixed
## 4351        flat       1     normal
## 4352        flat       1 reversible
## 4353        flat       1      fixed
## 4354        flat       3     normal
## 4355        flat       3 reversible
## 4356        flat       3      fixed
## 4357   upsloping       0     normal
## 4358   upsloping       0 reversible
## 4359   upsloping       0      fixed
## 4360   upsloping       1     normal
## 4361   upsloping       1 reversible
## 4362   upsloping       1      fixed
## 4363   upsloping       3     normal
## 4364   upsloping       3 reversible
## 4365   upsloping       3      fixed
## 4366 downsloping       0     normal
## 4367 downsloping       0 reversible
## 4368 downsloping       0      fixed
## 4369 downsloping       1     normal
## 4370 downsloping       1 reversible
## 4371 downsloping       1      fixed
## 4372 downsloping       3     normal
## 4373 downsloping       3 reversible
## 4374 downsloping       3      fixed
## 4375        flat       0     normal
## 4376        flat       0 reversible
## 4377        flat       0      fixed
## 4378        flat       1     normal
## 4379        flat       1 reversible
## 4380        flat       1      fixed
## 4381        flat       3     normal
## 4382        flat       3 reversible
## 4383        flat       3      fixed
## 4384   upsloping       0     normal
## 4385   upsloping       0 reversible
## 4386   upsloping       0      fixed
## 4387   upsloping       1     normal
## 4388   upsloping       1 reversible
## 4389   upsloping       1      fixed
## 4390   upsloping       3     normal
## 4391   upsloping       3 reversible
## 4392   upsloping       3      fixed
## 4393 downsloping       0     normal
## 4394 downsloping       0 reversible
## 4395 downsloping       0      fixed
## 4396 downsloping       1     normal
## 4397 downsloping       1 reversible
## 4398 downsloping       1      fixed
## 4399 downsloping       3     normal
## 4400 downsloping       3 reversible
## 4401 downsloping       3      fixed
## 4402        flat       0     normal
## 4403        flat       0 reversible
## 4404        flat       0      fixed
## 4405        flat       1     normal
## 4406        flat       1 reversible
## 4407        flat       1      fixed
## 4408        flat       3     normal
## 4409        flat       3 reversible
## 4410        flat       3      fixed
## 4411   upsloping       0     normal
## 4412   upsloping       0 reversible
## 4413   upsloping       0      fixed
## 4414   upsloping       1     normal
## 4415   upsloping       1 reversible
## 4416   upsloping       1      fixed
## 4417   upsloping       3     normal
## 4418   upsloping       3 reversible
## 4419   upsloping       3      fixed
## 4420 downsloping       0     normal
## 4421 downsloping       0 reversible
## 4422 downsloping       0      fixed
## 4423 downsloping       1     normal
## 4424 downsloping       1 reversible
## 4425 downsloping       1      fixed
## 4426 downsloping       3     normal
## 4427 downsloping       3 reversible
## 4428 downsloping       3      fixed
## 4429        flat       0     normal
## 4430        flat       0 reversible
## 4431        flat       0      fixed
## 4432        flat       1     normal
## 4433        flat       1 reversible
## 4434        flat       1      fixed
## 4435        flat       3     normal
## 4436        flat       3 reversible
## 4437        flat       3      fixed
## 4438   upsloping       0     normal
## 4439   upsloping       0 reversible
## 4440   upsloping       0      fixed
## 4441   upsloping       1     normal
## 4442   upsloping       1 reversible
## 4443   upsloping       1      fixed
## 4444   upsloping       3     normal
## 4445   upsloping       3 reversible
## 4446   upsloping       3      fixed
## 4447 downsloping       0     normal
## 4448 downsloping       0 reversible
## 4449 downsloping       0      fixed
## 4450 downsloping       1     normal
## 4451 downsloping       1 reversible
## 4452 downsloping       1      fixed
## 4453 downsloping       3     normal
## 4454 downsloping       3 reversible
## 4455 downsloping       3      fixed
## 4456        flat       0     normal
## 4457        flat       0 reversible
## 4458        flat       0      fixed
## 4459        flat       1     normal
## 4460        flat       1 reversible
## 4461        flat       1      fixed
## 4462        flat       3     normal
## 4463        flat       3 reversible
## 4464        flat       3      fixed
## 4465   upsloping       0     normal
## 4466   upsloping       0 reversible
## 4467   upsloping       0      fixed
## 4468   upsloping       1     normal
## 4469   upsloping       1 reversible
## 4470   upsloping       1      fixed
## 4471   upsloping       3     normal
## 4472   upsloping       3 reversible
## 4473   upsloping       3      fixed
## 4474 downsloping       0     normal
## 4475 downsloping       0 reversible
## 4476 downsloping       0      fixed
## 4477 downsloping       1     normal
## 4478 downsloping       1 reversible
## 4479 downsloping       1      fixed
## 4480 downsloping       3     normal
## 4481 downsloping       3 reversible
## 4482 downsloping       3      fixed
## 4483        flat       0     normal
## 4484        flat       0 reversible
## 4485        flat       0      fixed
## 4486        flat       1     normal
## 4487        flat       1 reversible
## 4488        flat       1      fixed
## 4489        flat       3     normal
## 4490        flat       3 reversible
## 4491        flat       3      fixed
## 4492   upsloping       0     normal
## 4493   upsloping       0 reversible
## 4494   upsloping       0      fixed
## 4495   upsloping       1     normal
## 4496   upsloping       1 reversible
## 4497   upsloping       1      fixed
## 4498   upsloping       3     normal
## 4499   upsloping       3 reversible
## 4500   upsloping       3      fixed
## 4501 downsloping       0     normal
## 4502 downsloping       0 reversible
## 4503 downsloping       0      fixed
## 4504 downsloping       1     normal
## 4505 downsloping       1 reversible
## 4506 downsloping       1      fixed
## 4507 downsloping       3     normal
## 4508 downsloping       3 reversible
## 4509 downsloping       3      fixed
## 4510        flat       0     normal
## 4511        flat       0 reversible
## 4512        flat       0      fixed
## 4513        flat       1     normal
## 4514        flat       1 reversible
## 4515        flat       1      fixed
## 4516        flat       3     normal
## 4517        flat       3 reversible
## 4518        flat       3      fixed
## 4519   upsloping       0     normal
## 4520   upsloping       0 reversible
## 4521   upsloping       0      fixed
## 4522   upsloping       1     normal
## 4523   upsloping       1 reversible
## 4524   upsloping       1      fixed
## 4525   upsloping       3     normal
## 4526   upsloping       3 reversible
## 4527   upsloping       3      fixed
## 4528 downsloping       0     normal
## 4529 downsloping       0 reversible
## 4530 downsloping       0      fixed
## 4531 downsloping       1     normal
## 4532 downsloping       1 reversible
## 4533 downsloping       1      fixed
## 4534 downsloping       3     normal
## 4535 downsloping       3 reversible
## 4536 downsloping       3      fixed
## 4537        flat       0     normal
## 4538        flat       0 reversible
## 4539        flat       0      fixed
## 4540        flat       1     normal
## 4541        flat       1 reversible
## 4542        flat       1      fixed
## 4543        flat       3     normal
## 4544        flat       3 reversible
## 4545        flat       3      fixed
## 4546   upsloping       0     normal
## 4547   upsloping       0 reversible
## 4548   upsloping       0      fixed
## 4549   upsloping       1     normal
## 4550   upsloping       1 reversible
## 4551   upsloping       1      fixed
## 4552   upsloping       3     normal
## 4553   upsloping       3 reversible
## 4554   upsloping       3      fixed
## 4555 downsloping       0     normal
## 4556 downsloping       0 reversible
## 4557 downsloping       0      fixed
## 4558 downsloping       1     normal
## 4559 downsloping       1 reversible
## 4560 downsloping       1      fixed
## 4561 downsloping       3     normal
## 4562 downsloping       3 reversible
## 4563 downsloping       3      fixed
## 4564        flat       0     normal
## 4565        flat       0 reversible
## 4566        flat       0      fixed
## 4567        flat       1     normal
## 4568        flat       1 reversible
## 4569        flat       1      fixed
## 4570        flat       3     normal
## 4571        flat       3 reversible
## 4572        flat       3      fixed
## 4573   upsloping       0     normal
## 4574   upsloping       0 reversible
## 4575   upsloping       0      fixed
## 4576   upsloping       1     normal
## 4577   upsloping       1 reversible
## 4578   upsloping       1      fixed
## 4579   upsloping       3     normal
## 4580   upsloping       3 reversible
## 4581   upsloping       3      fixed
## 4582 downsloping       0     normal
## 4583 downsloping       0 reversible
## 4584 downsloping       0      fixed
## 4585 downsloping       1     normal
## 4586 downsloping       1 reversible
## 4587 downsloping       1      fixed
## 4588 downsloping       3     normal
## 4589 downsloping       3 reversible
## 4590 downsloping       3      fixed
## 4591        flat       0     normal
## 4592        flat       0 reversible
## 4593        flat       0      fixed
## 4594        flat       1     normal
## 4595        flat       1 reversible
## 4596        flat       1      fixed
## 4597        flat       3     normal
## 4598        flat       3 reversible
## 4599        flat       3      fixed
## 4600   upsloping       0     normal
## 4601   upsloping       0 reversible
## 4602   upsloping       0      fixed
## 4603   upsloping       1     normal
## 4604   upsloping       1 reversible
## 4605   upsloping       1      fixed
## 4606   upsloping       3     normal
## 4607   upsloping       3 reversible
## 4608   upsloping       3      fixed
## 4609 downsloping       0     normal
## 4610 downsloping       0 reversible
## 4611 downsloping       0      fixed
## 4612 downsloping       1     normal
## 4613 downsloping       1 reversible
## 4614 downsloping       1      fixed
## 4615 downsloping       3     normal
## 4616 downsloping       3 reversible
## 4617 downsloping       3      fixed
## 4618        flat       0     normal
## 4619        flat       0 reversible
## 4620        flat       0      fixed
## 4621        flat       1     normal
## 4622        flat       1 reversible
## 4623        flat       1      fixed
## 4624        flat       3     normal
## 4625        flat       3 reversible
## 4626        flat       3      fixed
## 4627   upsloping       0     normal
## 4628   upsloping       0 reversible
## 4629   upsloping       0      fixed
## 4630   upsloping       1     normal
## 4631   upsloping       1 reversible
## 4632   upsloping       1      fixed
## 4633   upsloping       3     normal
## 4634   upsloping       3 reversible
## 4635   upsloping       3      fixed
## 4636 downsloping       0     normal
## 4637 downsloping       0 reversible
## 4638 downsloping       0      fixed
## 4639 downsloping       1     normal
## 4640 downsloping       1 reversible
## 4641 downsloping       1      fixed
## 4642 downsloping       3     normal
## 4643 downsloping       3 reversible
## 4644 downsloping       3      fixed
## 4645        flat       0     normal
## 4646        flat       0 reversible
## 4647        flat       0      fixed
## 4648        flat       1     normal
## 4649        flat       1 reversible
## 4650        flat       1      fixed
## 4651        flat       3     normal
## 4652        flat       3 reversible
## 4653        flat       3      fixed
## 4654   upsloping       0     normal
## 4655   upsloping       0 reversible
## 4656   upsloping       0      fixed
## 4657   upsloping       1     normal
## 4658   upsloping       1 reversible
## 4659   upsloping       1      fixed
## 4660   upsloping       3     normal
## 4661   upsloping       3 reversible
## 4662   upsloping       3      fixed
## 4663 downsloping       0     normal
## 4664 downsloping       0 reversible
## 4665 downsloping       0      fixed
## 4666 downsloping       1     normal
## 4667 downsloping       1 reversible
## 4668 downsloping       1      fixed
## 4669 downsloping       3     normal
## 4670 downsloping       3 reversible
## 4671 downsloping       3      fixed
## 4672        flat       0     normal
## 4673        flat       0 reversible
## 4674        flat       0      fixed
## 4675        flat       1     normal
## 4676        flat       1 reversible
## 4677        flat       1      fixed
## 4678        flat       3     normal
## 4679        flat       3 reversible
## 4680        flat       3      fixed
## 4681   upsloping       0     normal
## 4682   upsloping       0 reversible
## 4683   upsloping       0      fixed
## 4684   upsloping       1     normal
## 4685   upsloping       1 reversible
## 4686   upsloping       1      fixed
## 4687   upsloping       3     normal
## 4688   upsloping       3 reversible
## 4689   upsloping       3      fixed
## 4690 downsloping       0     normal
## 4691 downsloping       0 reversible
## 4692 downsloping       0      fixed
## 4693 downsloping       1     normal
## 4694 downsloping       1 reversible
## 4695 downsloping       1      fixed
## 4696 downsloping       3     normal
## 4697 downsloping       3 reversible
## 4698 downsloping       3      fixed
## 4699        flat       0     normal
## 4700        flat       0 reversible
## 4701        flat       0      fixed
## 4702        flat       1     normal
## 4703        flat       1 reversible
## 4704        flat       1      fixed
## 4705        flat       3     normal
## 4706        flat       3 reversible
## 4707        flat       3      fixed
## 4708   upsloping       0     normal
## 4709   upsloping       0 reversible
## 4710   upsloping       0      fixed
## 4711   upsloping       1     normal
## 4712   upsloping       1 reversible
## 4713   upsloping       1      fixed
## 4714   upsloping       3     normal
## 4715   upsloping       3 reversible
## 4716   upsloping       3      fixed
## 4717 downsloping       0     normal
## 4718 downsloping       0 reversible
## 4719 downsloping       0      fixed
## 4720 downsloping       1     normal
## 4721 downsloping       1 reversible
## 4722 downsloping       1      fixed
## 4723 downsloping       3     normal
## 4724 downsloping       3 reversible
## 4725 downsloping       3      fixed
## 4726        flat       0     normal
## 4727        flat       0 reversible
## 4728        flat       0      fixed
## 4729        flat       1     normal
## 4730        flat       1 reversible
## 4731        flat       1      fixed
## 4732        flat       3     normal
## 4733        flat       3 reversible
## 4734        flat       3      fixed
## 4735   upsloping       0     normal
## 4736   upsloping       0 reversible
## 4737   upsloping       0      fixed
## 4738   upsloping       1     normal
## 4739   upsloping       1 reversible
## 4740   upsloping       1      fixed
## 4741   upsloping       3     normal
## 4742   upsloping       3 reversible
## 4743   upsloping       3      fixed
## 4744 downsloping       0     normal
## 4745 downsloping       0 reversible
## 4746 downsloping       0      fixed
## 4747 downsloping       1     normal
## 4748 downsloping       1 reversible
## 4749 downsloping       1      fixed
## 4750 downsloping       3     normal
## 4751 downsloping       3 reversible
## 4752 downsloping       3      fixed
## 4753        flat       0     normal
## 4754        flat       0 reversible
## 4755        flat       0      fixed
## 4756        flat       1     normal
## 4757        flat       1 reversible
## 4758        flat       1      fixed
## 4759        flat       3     normal
## 4760        flat       3 reversible
## 4761        flat       3      fixed
## 4762   upsloping       0     normal
## 4763   upsloping       0 reversible
## 4764   upsloping       0      fixed
## 4765   upsloping       1     normal
## 4766   upsloping       1 reversible
## 4767   upsloping       1      fixed
## 4768   upsloping       3     normal
## 4769   upsloping       3 reversible
## 4770   upsloping       3      fixed
## 4771 downsloping       0     normal
## 4772 downsloping       0 reversible
## 4773 downsloping       0      fixed
## 4774 downsloping       1     normal
## 4775 downsloping       1 reversible
## 4776 downsloping       1      fixed
## 4777 downsloping       3     normal
## 4778 downsloping       3 reversible
## 4779 downsloping       3      fixed
## 4780        flat       0     normal
## 4781        flat       0 reversible
## 4782        flat       0      fixed
## 4783        flat       1     normal
## 4784        flat       1 reversible
## 4785        flat       1      fixed
## 4786        flat       3     normal
## 4787        flat       3 reversible
## 4788        flat       3      fixed
## 4789   upsloping       0     normal
## 4790   upsloping       0 reversible
## 4791   upsloping       0      fixed
## 4792   upsloping       1     normal
## 4793   upsloping       1 reversible
## 4794   upsloping       1      fixed
## 4795   upsloping       3     normal
## 4796   upsloping       3 reversible
## 4797   upsloping       3      fixed
## 4798 downsloping       0     normal
## 4799 downsloping       0 reversible
## 4800 downsloping       0      fixed
## 4801 downsloping       1     normal
## 4802 downsloping       1 reversible
## 4803 downsloping       1      fixed
## 4804 downsloping       3     normal
## 4805 downsloping       3 reversible
## 4806 downsloping       3      fixed
## 4807        flat       0     normal
## 4808        flat       0 reversible
## 4809        flat       0      fixed
## 4810        flat       1     normal
## 4811        flat       1 reversible
## 4812        flat       1      fixed
## 4813        flat       3     normal
## 4814        flat       3 reversible
## 4815        flat       3      fixed
## 4816   upsloping       0     normal
## 4817   upsloping       0 reversible
## 4818   upsloping       0      fixed
## 4819   upsloping       1     normal
## 4820   upsloping       1 reversible
## 4821   upsloping       1      fixed
## 4822   upsloping       3     normal
## 4823   upsloping       3 reversible
## 4824   upsloping       3      fixed
## 4825 downsloping       0     normal
## 4826 downsloping       0 reversible
## 4827 downsloping       0      fixed
## 4828 downsloping       1     normal
## 4829 downsloping       1 reversible
## 4830 downsloping       1      fixed
## 4831 downsloping       3     normal
## 4832 downsloping       3 reversible
## 4833 downsloping       3      fixed
## 4834        flat       0     normal
## 4835        flat       0 reversible
## 4836        flat       0      fixed
## 4837        flat       1     normal
## 4838        flat       1 reversible
## 4839        flat       1      fixed
## 4840        flat       3     normal
## 4841        flat       3 reversible
## 4842        flat       3      fixed
## 4843   upsloping       0     normal
## 4844   upsloping       0 reversible
## 4845   upsloping       0      fixed
## 4846   upsloping       1     normal
## 4847   upsloping       1 reversible
## 4848   upsloping       1      fixed
## 4849   upsloping       3     normal
## 4850   upsloping       3 reversible
## 4851   upsloping       3      fixed
## 4852 downsloping       0     normal
## 4853 downsloping       0 reversible
## 4854 downsloping       0      fixed
## 4855 downsloping       1     normal
## 4856 downsloping       1 reversible
## 4857 downsloping       1      fixed
## 4858 downsloping       3     normal
## 4859 downsloping       3 reversible
## 4860 downsloping       3      fixed
## 4861        flat       0     normal
## 4862        flat       0 reversible
## 4863        flat       0      fixed
## 4864        flat       1     normal
## 4865        flat       1 reversible
## 4866        flat       1      fixed
## 4867        flat       3     normal
## 4868        flat       3 reversible
## 4869        flat       3      fixed
## 4870   upsloping       0     normal
## 4871   upsloping       0 reversible
## 4872   upsloping       0      fixed
## 4873   upsloping       1     normal
## 4874   upsloping       1 reversible
## 4875   upsloping       1      fixed
## 4876   upsloping       3     normal
## 4877   upsloping       3 reversible
## 4878   upsloping       3      fixed
## 4879 downsloping       0     normal
## 4880 downsloping       0 reversible
## 4881 downsloping       0      fixed
## 4882 downsloping       1     normal
## 4883 downsloping       1 reversible
## 4884 downsloping       1      fixed
## 4885 downsloping       3     normal
## 4886 downsloping       3 reversible
## 4887 downsloping       3      fixed
## 4888        flat       0     normal
## 4889        flat       0 reversible
## 4890        flat       0      fixed
## 4891        flat       1     normal
## 4892        flat       1 reversible
## 4893        flat       1      fixed
## 4894        flat       3     normal
## 4895        flat       3 reversible
## 4896        flat       3      fixed
## 4897   upsloping       0     normal
## 4898   upsloping       0 reversible
## 4899   upsloping       0      fixed
## 4900   upsloping       1     normal
## 4901   upsloping       1 reversible
## 4902   upsloping       1      fixed
## 4903   upsloping       3     normal
## 4904   upsloping       3 reversible
## 4905   upsloping       3      fixed
## 4906 downsloping       0     normal
## 4907 downsloping       0 reversible
## 4908 downsloping       0      fixed
## 4909 downsloping       1     normal
## 4910 downsloping       1 reversible
## 4911 downsloping       1      fixed
## 4912 downsloping       3     normal
## 4913 downsloping       3 reversible
## 4914 downsloping       3      fixed
## 4915        flat       0     normal
## 4916        flat       0 reversible
## 4917        flat       0      fixed
## 4918        flat       1     normal
## 4919        flat       1 reversible
## 4920        flat       1      fixed
## 4921        flat       3     normal
## 4922        flat       3 reversible
## 4923        flat       3      fixed
## 4924   upsloping       0     normal
## 4925   upsloping       0 reversible
## 4926   upsloping       0      fixed
## 4927   upsloping       1     normal
## 4928   upsloping       1 reversible
## 4929   upsloping       1      fixed
## 4930   upsloping       3     normal
## 4931   upsloping       3 reversible
## 4932   upsloping       3      fixed
## 4933 downsloping       0     normal
## 4934 downsloping       0 reversible
## 4935 downsloping       0      fixed
## 4936 downsloping       1     normal
## 4937 downsloping       1 reversible
## 4938 downsloping       1      fixed
## 4939 downsloping       3     normal
## 4940 downsloping       3 reversible
## 4941 downsloping       3      fixed
## 4942        flat       0     normal
## 4943        flat       0 reversible
## 4944        flat       0      fixed
## 4945        flat       1     normal
## 4946        flat       1 reversible
## 4947        flat       1      fixed
## 4948        flat       3     normal
## 4949        flat       3 reversible
## 4950        flat       3      fixed
## 4951   upsloping       0     normal
## 4952   upsloping       0 reversible
## 4953   upsloping       0      fixed
## 4954   upsloping       1     normal
## 4955   upsloping       1 reversible
## 4956   upsloping       1      fixed
## 4957   upsloping       3     normal
## 4958   upsloping       3 reversible
## 4959   upsloping       3      fixed
## 4960 downsloping       0     normal
## 4961 downsloping       0 reversible
## 4962 downsloping       0      fixed
## 4963 downsloping       1     normal
## 4964 downsloping       1 reversible
## 4965 downsloping       1      fixed
## 4966 downsloping       3     normal
## 4967 downsloping       3 reversible
## 4968 downsloping       3      fixed
## 4969        flat       0     normal
## 4970        flat       0 reversible
## 4971        flat       0      fixed
## 4972        flat       1     normal
## 4973        flat       1 reversible
## 4974        flat       1      fixed
## 4975        flat       3     normal
## 4976        flat       3 reversible
## 4977        flat       3      fixed
## 4978   upsloping       0     normal
## 4979   upsloping       0 reversible
## 4980   upsloping       0      fixed
## 4981   upsloping       1     normal
## 4982   upsloping       1 reversible
## 4983   upsloping       1      fixed
## 4984   upsloping       3     normal
## 4985   upsloping       3 reversible
## 4986   upsloping       3      fixed
## 4987 downsloping       0     normal
## 4988 downsloping       0 reversible
## 4989 downsloping       0      fixed
## 4990 downsloping       1     normal
## 4991 downsloping       1 reversible
## 4992 downsloping       1      fixed
## 4993 downsloping       3     normal
## 4994 downsloping       3 reversible
## 4995 downsloping       3      fixed
## 4996        flat       0     normal
## 4997        flat       0 reversible
## 4998        flat       0      fixed
## 4999        flat       1     normal
## 5000        flat       1 reversible
## 5001        flat       1      fixed
## 5002        flat       3     normal
## 5003        flat       3 reversible
## 5004        flat       3      fixed
## 5005   upsloping       0     normal
## 5006   upsloping       0 reversible
## 5007   upsloping       0      fixed
## 5008   upsloping       1     normal
## 5009   upsloping       1 reversible
## 5010   upsloping       1      fixed
## 5011   upsloping       3     normal
## 5012   upsloping       3 reversible
## 5013   upsloping       3      fixed
## 5014 downsloping       0     normal
## 5015 downsloping       0 reversible
## 5016 downsloping       0      fixed
## 5017 downsloping       1     normal
## 5018 downsloping       1 reversible
## 5019 downsloping       1      fixed
## 5020 downsloping       3     normal
## 5021 downsloping       3 reversible
## 5022 downsloping       3      fixed
## 5023        flat       0     normal
## 5024        flat       0 reversible
## 5025        flat       0      fixed
## 5026        flat       1     normal
## 5027        flat       1 reversible
## 5028        flat       1      fixed
## 5029        flat       3     normal
## 5030        flat       3 reversible
## 5031        flat       3      fixed
## 5032   upsloping       0     normal
## 5033   upsloping       0 reversible
## 5034   upsloping       0      fixed
## 5035   upsloping       1     normal
## 5036   upsloping       1 reversible
## 5037   upsloping       1      fixed
## 5038   upsloping       3     normal
## 5039   upsloping       3 reversible
## 5040   upsloping       3      fixed
## 5041 downsloping       0     normal
## 5042 downsloping       0 reversible
## 5043 downsloping       0      fixed
## 5044 downsloping       1     normal
## 5045 downsloping       1 reversible
## 5046 downsloping       1      fixed
## 5047 downsloping       3     normal
## 5048 downsloping       3 reversible
## 5049 downsloping       3      fixed
## 5050        flat       0     normal
## 5051        flat       0 reversible
## 5052        flat       0      fixed
## 5053        flat       1     normal
## 5054        flat       1 reversible
## 5055        flat       1      fixed
## 5056        flat       3     normal
## 5057        flat       3 reversible
## 5058        flat       3      fixed
## 5059   upsloping       0     normal
## 5060   upsloping       0 reversible
## 5061   upsloping       0      fixed
## 5062   upsloping       1     normal
## 5063   upsloping       1 reversible
## 5064   upsloping       1      fixed
## 5065   upsloping       3     normal
## 5066   upsloping       3 reversible
## 5067   upsloping       3      fixed
## 5068 downsloping       0     normal
## 5069 downsloping       0 reversible
## 5070 downsloping       0      fixed
## 5071 downsloping       1     normal
## 5072 downsloping       1 reversible
## 5073 downsloping       1      fixed
## 5074 downsloping       3     normal
## 5075 downsloping       3 reversible
## 5076 downsloping       3      fixed
## 5077        flat       0     normal
## 5078        flat       0 reversible
## 5079        flat       0      fixed
## 5080        flat       1     normal
## 5081        flat       1 reversible
## 5082        flat       1      fixed
## 5083        flat       3     normal
## 5084        flat       3 reversible
## 5085        flat       3      fixed
## 5086   upsloping       0     normal
## 5087   upsloping       0 reversible
## 5088   upsloping       0      fixed
## 5089   upsloping       1     normal
## 5090   upsloping       1 reversible
## 5091   upsloping       1      fixed
## 5092   upsloping       3     normal
## 5093   upsloping       3 reversible
## 5094   upsloping       3      fixed
## 5095 downsloping       0     normal
## 5096 downsloping       0 reversible
## 5097 downsloping       0      fixed
## 5098 downsloping       1     normal
## 5099 downsloping       1 reversible
## 5100 downsloping       1      fixed
## 5101 downsloping       3     normal
## 5102 downsloping       3 reversible
## 5103 downsloping       3      fixed
## 5104        flat       0     normal
## 5105        flat       0 reversible
## 5106        flat       0      fixed
## 5107        flat       1     normal
## 5108        flat       1 reversible
## 5109        flat       1      fixed
## 5110        flat       3     normal
## 5111        flat       3 reversible
## 5112        flat       3      fixed
## 5113   upsloping       0     normal
## 5114   upsloping       0 reversible
## 5115   upsloping       0      fixed
## 5116   upsloping       1     normal
## 5117   upsloping       1 reversible
## 5118   upsloping       1      fixed
## 5119   upsloping       3     normal
## 5120   upsloping       3 reversible
## 5121   upsloping       3      fixed
## 5122 downsloping       0     normal
## 5123 downsloping       0 reversible
## 5124 downsloping       0      fixed
## 5125 downsloping       1     normal
## 5126 downsloping       1 reversible
## 5127 downsloping       1      fixed
## 5128 downsloping       3     normal
## 5129 downsloping       3 reversible
## 5130 downsloping       3      fixed
## 5131        flat       0     normal
## 5132        flat       0 reversible
## 5133        flat       0      fixed
## 5134        flat       1     normal
## 5135        flat       1 reversible
## 5136        flat       1      fixed
## 5137        flat       3     normal
## 5138        flat       3 reversible
## 5139        flat       3      fixed
## 5140   upsloping       0     normal
## 5141   upsloping       0 reversible
## 5142   upsloping       0      fixed
## 5143   upsloping       1     normal
## 5144   upsloping       1 reversible
## 5145   upsloping       1      fixed
## 5146   upsloping       3     normal
## 5147   upsloping       3 reversible
## 5148   upsloping       3      fixed
## 5149 downsloping       0     normal
## 5150 downsloping       0 reversible
## 5151 downsloping       0      fixed
## 5152 downsloping       1     normal
## 5153 downsloping       1 reversible
## 5154 downsloping       1      fixed
## 5155 downsloping       3     normal
## 5156 downsloping       3 reversible
## 5157 downsloping       3      fixed
## 5158        flat       0     normal
## 5159        flat       0 reversible
## 5160        flat       0      fixed
## 5161        flat       1     normal
## 5162        flat       1 reversible
## 5163        flat       1      fixed
## 5164        flat       3     normal
## 5165        flat       3 reversible
## 5166        flat       3      fixed
## 5167   upsloping       0     normal
## 5168   upsloping       0 reversible
## 5169   upsloping       0      fixed
## 5170   upsloping       1     normal
## 5171   upsloping       1 reversible
## 5172   upsloping       1      fixed
## 5173   upsloping       3     normal
## 5174   upsloping       3 reversible
## 5175   upsloping       3      fixed
## 5176 downsloping       0     normal
## 5177 downsloping       0 reversible
## 5178 downsloping       0      fixed
## 5179 downsloping       1     normal
## 5180 downsloping       1 reversible
## 5181 downsloping       1      fixed
## 5182 downsloping       3     normal
## 5183 downsloping       3 reversible
## 5184 downsloping       3      fixed
## 5185        flat       0     normal
## 5186        flat       0 reversible
## 5187        flat       0      fixed
## 5188        flat       1     normal
## 5189        flat       1 reversible
## 5190        flat       1      fixed
## 5191        flat       3     normal
## 5192        flat       3 reversible
## 5193        flat       3      fixed
## 5194   upsloping       0     normal
## 5195   upsloping       0 reversible
## 5196   upsloping       0      fixed
## 5197   upsloping       1     normal
## 5198   upsloping       1 reversible
## 5199   upsloping       1      fixed
## 5200   upsloping       3     normal
## 5201   upsloping       3 reversible
## 5202   upsloping       3      fixed
## 5203 downsloping       0     normal
## 5204 downsloping       0 reversible
## 5205 downsloping       0      fixed
## 5206 downsloping       1     normal
## 5207 downsloping       1 reversible
## 5208 downsloping       1      fixed
## 5209 downsloping       3     normal
## 5210 downsloping       3 reversible
## 5211 downsloping       3      fixed
## 5212        flat       0     normal
## 5213        flat       0 reversible
## 5214        flat       0      fixed
## 5215        flat       1     normal
## 5216        flat       1 reversible
## 5217        flat       1      fixed
## 5218        flat       3     normal
## 5219        flat       3 reversible
## 5220        flat       3      fixed
## 5221   upsloping       0     normal
## 5222   upsloping       0 reversible
## 5223   upsloping       0      fixed
## 5224   upsloping       1     normal
## 5225   upsloping       1 reversible
## 5226   upsloping       1      fixed
## 5227   upsloping       3     normal
## 5228   upsloping       3 reversible
## 5229   upsloping       3      fixed
## 5230 downsloping       0     normal
## 5231 downsloping       0 reversible
## 5232 downsloping       0      fixed
## 5233 downsloping       1     normal
## 5234 downsloping       1 reversible
## 5235 downsloping       1      fixed
## 5236 downsloping       3     normal
## 5237 downsloping       3 reversible
## 5238 downsloping       3      fixed
## 5239        flat       0     normal
## 5240        flat       0 reversible
## 5241        flat       0      fixed
## 5242        flat       1     normal
## 5243        flat       1 reversible
## 5244        flat       1      fixed
## 5245        flat       3     normal
## 5246        flat       3 reversible
## 5247        flat       3      fixed
## 5248   upsloping       0     normal
## 5249   upsloping       0 reversible
## 5250   upsloping       0      fixed
## 5251   upsloping       1     normal
## 5252   upsloping       1 reversible
## 5253   upsloping       1      fixed
## 5254   upsloping       3     normal
## 5255   upsloping       3 reversible
## 5256   upsloping       3      fixed
## 5257 downsloping       0     normal
## 5258 downsloping       0 reversible
## 5259 downsloping       0      fixed
## 5260 downsloping       1     normal
## 5261 downsloping       1 reversible
## 5262 downsloping       1      fixed
## 5263 downsloping       3     normal
## 5264 downsloping       3 reversible
## 5265 downsloping       3      fixed
## 5266        flat       0     normal
## 5267        flat       0 reversible
## 5268        flat       0      fixed
## 5269        flat       1     normal
## 5270        flat       1 reversible
## 5271        flat       1      fixed
## 5272        flat       3     normal
## 5273        flat       3 reversible
## 5274        flat       3      fixed
## 5275   upsloping       0     normal
## 5276   upsloping       0 reversible
## 5277   upsloping       0      fixed
## 5278   upsloping       1     normal
## 5279   upsloping       1 reversible
## 5280   upsloping       1      fixed
## 5281   upsloping       3     normal
## 5282   upsloping       3 reversible
## 5283   upsloping       3      fixed
## 5284 downsloping       0     normal
## 5285 downsloping       0 reversible
## 5286 downsloping       0      fixed
## 5287 downsloping       1     normal
## 5288 downsloping       1 reversible
## 5289 downsloping       1      fixed
## 5290 downsloping       3     normal
## 5291 downsloping       3 reversible
## 5292 downsloping       3      fixed
## 5293        flat       0     normal
## 5294        flat       0 reversible
## 5295        flat       0      fixed
## 5296        flat       1     normal
## 5297        flat       1 reversible
## 5298        flat       1      fixed
## 5299        flat       3     normal
## 5300        flat       3 reversible
## 5301        flat       3      fixed
## 5302   upsloping       0     normal
## 5303   upsloping       0 reversible
## 5304   upsloping       0      fixed
## 5305   upsloping       1     normal
## 5306   upsloping       1 reversible
## 5307   upsloping       1      fixed
## 5308   upsloping       3     normal
## 5309   upsloping       3 reversible
## 5310   upsloping       3      fixed
## 5311 downsloping       0     normal
## 5312 downsloping       0 reversible
## 5313 downsloping       0      fixed
## 5314 downsloping       1     normal
## 5315 downsloping       1 reversible
## 5316 downsloping       1      fixed
## 5317 downsloping       3     normal
## 5318 downsloping       3 reversible
## 5319 downsloping       3      fixed
## 5320        flat       0     normal
## 5321        flat       0 reversible
## 5322        flat       0      fixed
## 5323        flat       1     normal
## 5324        flat       1 reversible
## 5325        flat       1      fixed
## 5326        flat       3     normal
## 5327        flat       3 reversible
## 5328        flat       3      fixed
## 5329   upsloping       0     normal
## 5330   upsloping       0 reversible
## 5331   upsloping       0      fixed
## 5332   upsloping       1     normal
## 5333   upsloping       1 reversible
## 5334   upsloping       1      fixed
## 5335   upsloping       3     normal
## 5336   upsloping       3 reversible
## 5337   upsloping       3      fixed
## 5338 downsloping       0     normal
## 5339 downsloping       0 reversible
## 5340 downsloping       0      fixed
## 5341 downsloping       1     normal
## 5342 downsloping       1 reversible
## 5343 downsloping       1      fixed
## 5344 downsloping       3     normal
## 5345 downsloping       3 reversible
## 5346 downsloping       3      fixed
## 5347        flat       0     normal
## 5348        flat       0 reversible
## 5349        flat       0      fixed
## 5350        flat       1     normal
## 5351        flat       1 reversible
## 5352        flat       1      fixed
## 5353        flat       3     normal
## 5354        flat       3 reversible
## 5355        flat       3      fixed
## 5356   upsloping       0     normal
## 5357   upsloping       0 reversible
## 5358   upsloping       0      fixed
## 5359   upsloping       1     normal
## 5360   upsloping       1 reversible
## 5361   upsloping       1      fixed
## 5362   upsloping       3     normal
## 5363   upsloping       3 reversible
## 5364   upsloping       3      fixed
## 5365 downsloping       0     normal
## 5366 downsloping       0 reversible
## 5367 downsloping       0      fixed
## 5368 downsloping       1     normal
## 5369 downsloping       1 reversible
## 5370 downsloping       1      fixed
## 5371 downsloping       3     normal
## 5372 downsloping       3 reversible
## 5373 downsloping       3      fixed
## 5374        flat       0     normal
## 5375        flat       0 reversible
## 5376        flat       0      fixed
## 5377        flat       1     normal
## 5378        flat       1 reversible
## 5379        flat       1      fixed
## 5380        flat       3     normal
## 5381        flat       3 reversible
## 5382        flat       3      fixed
## 5383   upsloping       0     normal
## 5384   upsloping       0 reversible
## 5385   upsloping       0      fixed
## 5386   upsloping       1     normal
## 5387   upsloping       1 reversible
## 5388   upsloping       1      fixed
## 5389   upsloping       3     normal
## 5390   upsloping       3 reversible
## 5391   upsloping       3      fixed
## 5392 downsloping       0     normal
## 5393 downsloping       0 reversible
## 5394 downsloping       0      fixed
## 5395 downsloping       1     normal
## 5396 downsloping       1 reversible
## 5397 downsloping       1      fixed
## 5398 downsloping       3     normal
## 5399 downsloping       3 reversible
## 5400 downsloping       3      fixed
## 5401        flat       0     normal
## 5402        flat       0 reversible
## 5403        flat       0      fixed
## 5404        flat       1     normal
## 5405        flat       1 reversible
## 5406        flat       1      fixed
## 5407        flat       3     normal
## 5408        flat       3 reversible
## 5409        flat       3      fixed
## 5410   upsloping       0     normal
## 5411   upsloping       0 reversible
## 5412   upsloping       0      fixed
## 5413   upsloping       1     normal
## 5414   upsloping       1 reversible
## 5415   upsloping       1      fixed
## 5416   upsloping       3     normal
## 5417   upsloping       3 reversible
## 5418   upsloping       3      fixed
## 5419 downsloping       0     normal
## 5420 downsloping       0 reversible
## 5421 downsloping       0      fixed
## 5422 downsloping       1     normal
## 5423 downsloping       1 reversible
## 5424 downsloping       1      fixed
## 5425 downsloping       3     normal
## 5426 downsloping       3 reversible
## 5427 downsloping       3      fixed
## 5428        flat       0     normal
## 5429        flat       0 reversible
## 5430        flat       0      fixed
## 5431        flat       1     normal
## 5432        flat       1 reversible
## 5433        flat       1      fixed
## 5434        flat       3     normal
## 5435        flat       3 reversible
## 5436        flat       3      fixed
## 5437   upsloping       0     normal
## 5438   upsloping       0 reversible
## 5439   upsloping       0      fixed
## 5440   upsloping       1     normal
## 5441   upsloping       1 reversible
## 5442   upsloping       1      fixed
## 5443   upsloping       3     normal
## 5444   upsloping       3 reversible
## 5445   upsloping       3      fixed
## 5446 downsloping       0     normal
## 5447 downsloping       0 reversible
## 5448 downsloping       0      fixed
## 5449 downsloping       1     normal
## 5450 downsloping       1 reversible
## 5451 downsloping       1      fixed
## 5452 downsloping       3     normal
## 5453 downsloping       3 reversible
## 5454 downsloping       3      fixed
## 5455        flat       0     normal
## 5456        flat       0 reversible
## 5457        flat       0      fixed
## 5458        flat       1     normal
## 5459        flat       1 reversible
## 5460        flat       1      fixed
## 5461        flat       3     normal
## 5462        flat       3 reversible
## 5463        flat       3      fixed
## 5464   upsloping       0     normal
## 5465   upsloping       0 reversible
## 5466   upsloping       0      fixed
## 5467   upsloping       1     normal
## 5468   upsloping       1 reversible
## 5469   upsloping       1      fixed
## 5470   upsloping       3     normal
## 5471   upsloping       3 reversible
## 5472   upsloping       3      fixed
## 5473 downsloping       0     normal
## 5474 downsloping       0 reversible
## 5475 downsloping       0      fixed
## 5476 downsloping       1     normal
## 5477 downsloping       1 reversible
## 5478 downsloping       1      fixed
## 5479 downsloping       3     normal
## 5480 downsloping       3 reversible
## 5481 downsloping       3      fixed
## 5482        flat       0     normal
## 5483        flat       0 reversible
## 5484        flat       0      fixed
## 5485        flat       1     normal
## 5486        flat       1 reversible
## 5487        flat       1      fixed
## 5488        flat       3     normal
## 5489        flat       3 reversible
## 5490        flat       3      fixed
## 5491   upsloping       0     normal
## 5492   upsloping       0 reversible
## 5493   upsloping       0      fixed
## 5494   upsloping       1     normal
## 5495   upsloping       1 reversible
## 5496   upsloping       1      fixed
## 5497   upsloping       3     normal
## 5498   upsloping       3 reversible
## 5499   upsloping       3      fixed
## 5500 downsloping       0     normal
## 5501 downsloping       0 reversible
## 5502 downsloping       0      fixed
## 5503 downsloping       1     normal
## 5504 downsloping       1 reversible
## 5505 downsloping       1      fixed
## 5506 downsloping       3     normal
## 5507 downsloping       3 reversible
## 5508 downsloping       3      fixed
## 5509        flat       0     normal
## 5510        flat       0 reversible
## 5511        flat       0      fixed
## 5512        flat       1     normal
## 5513        flat       1 reversible
## 5514        flat       1      fixed
## 5515        flat       3     normal
## 5516        flat       3 reversible
## 5517        flat       3      fixed
## 5518   upsloping       0     normal
## 5519   upsloping       0 reversible
## 5520   upsloping       0      fixed
## 5521   upsloping       1     normal
## 5522   upsloping       1 reversible
## 5523   upsloping       1      fixed
## 5524   upsloping       3     normal
## 5525   upsloping       3 reversible
## 5526   upsloping       3      fixed
## 5527 downsloping       0     normal
## 5528 downsloping       0 reversible
## 5529 downsloping       0      fixed
## 5530 downsloping       1     normal
## 5531 downsloping       1 reversible
## 5532 downsloping       1      fixed
## 5533 downsloping       3     normal
## 5534 downsloping       3 reversible
## 5535 downsloping       3      fixed
## 5536        flat       0     normal
## 5537        flat       0 reversible
## 5538        flat       0      fixed
## 5539        flat       1     normal
## 5540        flat       1 reversible
## 5541        flat       1      fixed
## 5542        flat       3     normal
## 5543        flat       3 reversible
## 5544        flat       3      fixed
## 5545   upsloping       0     normal
## 5546   upsloping       0 reversible
## 5547   upsloping       0      fixed
## 5548   upsloping       1     normal
## 5549   upsloping       1 reversible
## 5550   upsloping       1      fixed
## 5551   upsloping       3     normal
## 5552   upsloping       3 reversible
## 5553   upsloping       3      fixed
## 5554 downsloping       0     normal
## 5555 downsloping       0 reversible
## 5556 downsloping       0      fixed
## 5557 downsloping       1     normal
## 5558 downsloping       1 reversible
## 5559 downsloping       1      fixed
## 5560 downsloping       3     normal
## 5561 downsloping       3 reversible
## 5562 downsloping       3      fixed
## 5563        flat       0     normal
## 5564        flat       0 reversible
## 5565        flat       0      fixed
## 5566        flat       1     normal
## 5567        flat       1 reversible
## 5568        flat       1      fixed
## 5569        flat       3     normal
## 5570        flat       3 reversible
## 5571        flat       3      fixed
## 5572   upsloping       0     normal
## 5573   upsloping       0 reversible
## 5574   upsloping       0      fixed
## 5575   upsloping       1     normal
## 5576   upsloping       1 reversible
## 5577   upsloping       1      fixed
## 5578   upsloping       3     normal
## 5579   upsloping       3 reversible
## 5580   upsloping       3      fixed
## 5581 downsloping       0     normal
## 5582 downsloping       0 reversible
## 5583 downsloping       0      fixed
## 5584 downsloping       1     normal
## 5585 downsloping       1 reversible
## 5586 downsloping       1      fixed
## 5587 downsloping       3     normal
## 5588 downsloping       3 reversible
## 5589 downsloping       3      fixed
## 5590        flat       0     normal
## 5591        flat       0 reversible
## 5592        flat       0      fixed
## 5593        flat       1     normal
## 5594        flat       1 reversible
## 5595        flat       1      fixed
## 5596        flat       3     normal
## 5597        flat       3 reversible
## 5598        flat       3      fixed
## 5599   upsloping       0     normal
## 5600   upsloping       0 reversible
## 5601   upsloping       0      fixed
## 5602   upsloping       1     normal
## 5603   upsloping       1 reversible
## 5604   upsloping       1      fixed
## 5605   upsloping       3     normal
## 5606   upsloping       3 reversible
## 5607   upsloping       3      fixed
## 5608 downsloping       0     normal
## 5609 downsloping       0 reversible
## 5610 downsloping       0      fixed
## 5611 downsloping       1     normal
## 5612 downsloping       1 reversible
## 5613 downsloping       1      fixed
## 5614 downsloping       3     normal
## 5615 downsloping       3 reversible
## 5616 downsloping       3      fixed
## 5617        flat       0     normal
## 5618        flat       0 reversible
## 5619        flat       0      fixed
## 5620        flat       1     normal
## 5621        flat       1 reversible
## 5622        flat       1      fixed
## 5623        flat       3     normal
## 5624        flat       3 reversible
## 5625        flat       3      fixed
## 5626   upsloping       0     normal
## 5627   upsloping       0 reversible
## 5628   upsloping       0      fixed
## 5629   upsloping       1     normal
## 5630   upsloping       1 reversible
## 5631   upsloping       1      fixed
## 5632   upsloping       3     normal
## 5633   upsloping       3 reversible
## 5634   upsloping       3      fixed
## 5635 downsloping       0     normal
## 5636 downsloping       0 reversible
## 5637 downsloping       0      fixed
## 5638 downsloping       1     normal
## 5639 downsloping       1 reversible
## 5640 downsloping       1      fixed
## 5641 downsloping       3     normal
## 5642 downsloping       3 reversible
## 5643 downsloping       3      fixed
## 5644        flat       0     normal
## 5645        flat       0 reversible
## 5646        flat       0      fixed
## 5647        flat       1     normal
## 5648        flat       1 reversible
## 5649        flat       1      fixed
## 5650        flat       3     normal
## 5651        flat       3 reversible
## 5652        flat       3      fixed
## 5653   upsloping       0     normal
## 5654   upsloping       0 reversible
## 5655   upsloping       0      fixed
## 5656   upsloping       1     normal
## 5657   upsloping       1 reversible
## 5658   upsloping       1      fixed
## 5659   upsloping       3     normal
## 5660   upsloping       3 reversible
## 5661   upsloping       3      fixed
## 5662 downsloping       0     normal
## 5663 downsloping       0 reversible
## 5664 downsloping       0      fixed
## 5665 downsloping       1     normal
## 5666 downsloping       1 reversible
## 5667 downsloping       1      fixed
## 5668 downsloping       3     normal
## 5669 downsloping       3 reversible
## 5670 downsloping       3      fixed
## 5671        flat       0     normal
## 5672        flat       0 reversible
## 5673        flat       0      fixed
## 5674        flat       1     normal
## 5675        flat       1 reversible
## 5676        flat       1      fixed
## 5677        flat       3     normal
## 5678        flat       3 reversible
## 5679        flat       3      fixed
## 5680   upsloping       0     normal
## 5681   upsloping       0 reversible
## 5682   upsloping       0      fixed
## 5683   upsloping       1     normal
## 5684   upsloping       1 reversible
## 5685   upsloping       1      fixed
## 5686   upsloping       3     normal
## 5687   upsloping       3 reversible
## 5688   upsloping       3      fixed
## 5689 downsloping       0     normal
## 5690 downsloping       0 reversible
## 5691 downsloping       0      fixed
## 5692 downsloping       1     normal
## 5693 downsloping       1 reversible
## 5694 downsloping       1      fixed
## 5695 downsloping       3     normal
## 5696 downsloping       3 reversible
## 5697 downsloping       3      fixed
## 5698        flat       0     normal
## 5699        flat       0 reversible
## 5700        flat       0      fixed
## 5701        flat       1     normal
## 5702        flat       1 reversible
## 5703        flat       1      fixed
## 5704        flat       3     normal
## 5705        flat       3 reversible
## 5706        flat       3      fixed
## 5707   upsloping       0     normal
## 5708   upsloping       0 reversible
## 5709   upsloping       0      fixed
## 5710   upsloping       1     normal
## 5711   upsloping       1 reversible
## 5712   upsloping       1      fixed
## 5713   upsloping       3     normal
## 5714   upsloping       3 reversible
## 5715   upsloping       3      fixed
## 5716 downsloping       0     normal
## 5717 downsloping       0 reversible
## 5718 downsloping       0      fixed
## 5719 downsloping       1     normal
## 5720 downsloping       1 reversible
## 5721 downsloping       1      fixed
## 5722 downsloping       3     normal
## 5723 downsloping       3 reversible
## 5724 downsloping       3      fixed
## 5725        flat       0     normal
## 5726        flat       0 reversible
## 5727        flat       0      fixed
## 5728        flat       1     normal
## 5729        flat       1 reversible
## 5730        flat       1      fixed
## 5731        flat       3     normal
## 5732        flat       3 reversible
## 5733        flat       3      fixed
## 5734   upsloping       0     normal
## 5735   upsloping       0 reversible
## 5736   upsloping       0      fixed
## 5737   upsloping       1     normal
## 5738   upsloping       1 reversible
## 5739   upsloping       1      fixed
## 5740   upsloping       3     normal
## 5741   upsloping       3 reversible
## 5742   upsloping       3      fixed
## 5743 downsloping       0     normal
## 5744 downsloping       0 reversible
## 5745 downsloping       0      fixed
## 5746 downsloping       1     normal
## 5747 downsloping       1 reversible
## 5748 downsloping       1      fixed
## 5749 downsloping       3     normal
## 5750 downsloping       3 reversible
## 5751 downsloping       3      fixed
## 5752        flat       0     normal
## 5753        flat       0 reversible
## 5754        flat       0      fixed
## 5755        flat       1     normal
## 5756        flat       1 reversible
## 5757        flat       1      fixed
## 5758        flat       3     normal
## 5759        flat       3 reversible
## 5760        flat       3      fixed
## 5761   upsloping       0     normal
## 5762   upsloping       0 reversible
## 5763   upsloping       0      fixed
## 5764   upsloping       1     normal
## 5765   upsloping       1 reversible
## 5766   upsloping       1      fixed
## 5767   upsloping       3     normal
## 5768   upsloping       3 reversible
## 5769   upsloping       3      fixed
## 5770 downsloping       0     normal
## 5771 downsloping       0 reversible
## 5772 downsloping       0      fixed
## 5773 downsloping       1     normal
## 5774 downsloping       1 reversible
## 5775 downsloping       1      fixed
## 5776 downsloping       3     normal
## 5777 downsloping       3 reversible
## 5778 downsloping       3      fixed
## 5779        flat       0     normal
## 5780        flat       0 reversible
## 5781        flat       0      fixed
## 5782        flat       1     normal
## 5783        flat       1 reversible
## 5784        flat       1      fixed
## 5785        flat       3     normal
## 5786        flat       3 reversible
## 5787        flat       3      fixed
## 5788   upsloping       0     normal
## 5789   upsloping       0 reversible
## 5790   upsloping       0      fixed
## 5791   upsloping       1     normal
## 5792   upsloping       1 reversible
## 5793   upsloping       1      fixed
## 5794   upsloping       3     normal
## 5795   upsloping       3 reversible
## 5796   upsloping       3      fixed
## 5797 downsloping       0     normal
## 5798 downsloping       0 reversible
## 5799 downsloping       0      fixed
## 5800 downsloping       1     normal
## 5801 downsloping       1 reversible
## 5802 downsloping       1      fixed
## 5803 downsloping       3     normal
## 5804 downsloping       3 reversible
## 5805 downsloping       3      fixed
## 5806        flat       0     normal
## 5807        flat       0 reversible
## 5808        flat       0      fixed
## 5809        flat       1     normal
## 5810        flat       1 reversible
## 5811        flat       1      fixed
## 5812        flat       3     normal
## 5813        flat       3 reversible
## 5814        flat       3      fixed
## 5815   upsloping       0     normal
## 5816   upsloping       0 reversible
## 5817   upsloping       0      fixed
## 5818   upsloping       1     normal
## 5819   upsloping       1 reversible
## 5820   upsloping       1      fixed
## 5821   upsloping       3     normal
## 5822   upsloping       3 reversible
## 5823   upsloping       3      fixed
## 5824 downsloping       0     normal
## 5825 downsloping       0 reversible
## 5826 downsloping       0      fixed
## 5827 downsloping       1     normal
## 5828 downsloping       1 reversible
## 5829 downsloping       1      fixed
## 5830 downsloping       3     normal
## 5831 downsloping       3 reversible
## 5832 downsloping       3      fixed
## 5833        flat       0     normal
## 5834        flat       0 reversible
## 5835        flat       0      fixed
## 5836        flat       1     normal
## 5837        flat       1 reversible
## 5838        flat       1      fixed
## 5839        flat       3     normal
## 5840        flat       3 reversible
## 5841        flat       3      fixed
## 5842   upsloping       0     normal
## 5843   upsloping       0 reversible
## 5844   upsloping       0      fixed
## 5845   upsloping       1     normal
## 5846   upsloping       1 reversible
## 5847   upsloping       1      fixed
## 5848   upsloping       3     normal
## 5849   upsloping       3 reversible
## 5850   upsloping       3      fixed
## 5851 downsloping       0     normal
## 5852 downsloping       0 reversible
## 5853 downsloping       0      fixed
## 5854 downsloping       1     normal
## 5855 downsloping       1 reversible
## 5856 downsloping       1      fixed
## 5857 downsloping       3     normal
## 5858 downsloping       3 reversible
## 5859 downsloping       3      fixed
## 5860        flat       0     normal
## 5861        flat       0 reversible
## 5862        flat       0      fixed
## 5863        flat       1     normal
## 5864        flat       1 reversible
## 5865        flat       1      fixed
## 5866        flat       3     normal
## 5867        flat       3 reversible
## 5868        flat       3      fixed
## 5869   upsloping       0     normal
## 5870   upsloping       0 reversible
## 5871   upsloping       0      fixed
## 5872   upsloping       1     normal
## 5873   upsloping       1 reversible
## 5874   upsloping       1      fixed
## 5875   upsloping       3     normal
## 5876   upsloping       3 reversible
## 5877   upsloping       3      fixed
## 5878 downsloping       0     normal
## 5879 downsloping       0 reversible
## 5880 downsloping       0      fixed
## 5881 downsloping       1     normal
## 5882 downsloping       1 reversible
## 5883 downsloping       1      fixed
## 5884 downsloping       3     normal
## 5885 downsloping       3 reversible
## 5886 downsloping       3      fixed
## 5887        flat       0     normal
## 5888        flat       0 reversible
## 5889        flat       0      fixed
## 5890        flat       1     normal
## 5891        flat       1 reversible
## 5892        flat       1      fixed
## 5893        flat       3     normal
## 5894        flat       3 reversible
## 5895        flat       3      fixed
## 5896   upsloping       0     normal
## 5897   upsloping       0 reversible
## 5898   upsloping       0      fixed
## 5899   upsloping       1     normal
## 5900   upsloping       1 reversible
## 5901   upsloping       1      fixed
## 5902   upsloping       3     normal
## 5903   upsloping       3 reversible
## 5904   upsloping       3      fixed
## 5905 downsloping       0     normal
## 5906 downsloping       0 reversible
## 5907 downsloping       0      fixed
## 5908 downsloping       1     normal
## 5909 downsloping       1 reversible
## 5910 downsloping       1      fixed
## 5911 downsloping       3     normal
## 5912 downsloping       3 reversible
## 5913 downsloping       3      fixed
## 5914        flat       0     normal
## 5915        flat       0 reversible
## 5916        flat       0      fixed
## 5917        flat       1     normal
## 5918        flat       1 reversible
## 5919        flat       1      fixed
## 5920        flat       3     normal
## 5921        flat       3 reversible
## 5922        flat       3      fixed
## 5923   upsloping       0     normal
## 5924   upsloping       0 reversible
## 5925   upsloping       0      fixed
## 5926   upsloping       1     normal
## 5927   upsloping       1 reversible
## 5928   upsloping       1      fixed
## 5929   upsloping       3     normal
## 5930   upsloping       3 reversible
## 5931   upsloping       3      fixed
## 5932 downsloping       0     normal
## 5933 downsloping       0 reversible
## 5934 downsloping       0      fixed
## 5935 downsloping       1     normal
## 5936 downsloping       1 reversible
## 5937 downsloping       1      fixed
## 5938 downsloping       3     normal
## 5939 downsloping       3 reversible
## 5940 downsloping       3      fixed
## 5941        flat       0     normal
## 5942        flat       0 reversible
## 5943        flat       0      fixed
## 5944        flat       1     normal
## 5945        flat       1 reversible
## 5946        flat       1      fixed
## 5947        flat       3     normal
## 5948        flat       3 reversible
## 5949        flat       3      fixed
## 5950   upsloping       0     normal
## 5951   upsloping       0 reversible
## 5952   upsloping       0      fixed
## 5953   upsloping       1     normal
## 5954   upsloping       1 reversible
## 5955   upsloping       1      fixed
## 5956   upsloping       3     normal
## 5957   upsloping       3 reversible
## 5958   upsloping       3      fixed
## 5959 downsloping       0     normal
## 5960 downsloping       0 reversible
## 5961 downsloping       0      fixed
## 5962 downsloping       1     normal
## 5963 downsloping       1 reversible
## 5964 downsloping       1      fixed
## 5965 downsloping       3     normal
## 5966 downsloping       3 reversible
## 5967 downsloping       3      fixed
## 5968        flat       0     normal
## 5969        flat       0 reversible
## 5970        flat       0      fixed
## 5971        flat       1     normal
## 5972        flat       1 reversible
## 5973        flat       1      fixed
## 5974        flat       3     normal
## 5975        flat       3 reversible
## 5976        flat       3      fixed
## 5977   upsloping       0     normal
## 5978   upsloping       0 reversible
## 5979   upsloping       0      fixed
## 5980   upsloping       1     normal
## 5981   upsloping       1 reversible
## 5982   upsloping       1      fixed
## 5983   upsloping       3     normal
## 5984   upsloping       3 reversible
## 5985   upsloping       3      fixed
## 5986 downsloping       0     normal
## 5987 downsloping       0 reversible
## 5988 downsloping       0      fixed
## 5989 downsloping       1     normal
## 5990 downsloping       1 reversible
## 5991 downsloping       1      fixed
## 5992 downsloping       3     normal
## 5993 downsloping       3 reversible
## 5994 downsloping       3      fixed
## 5995        flat       0     normal
## 5996        flat       0 reversible
## 5997        flat       0      fixed
## 5998        flat       1     normal
## 5999        flat       1 reversible
## 6000        flat       1      fixed
## 6001        flat       3     normal
## 6002        flat       3 reversible
## 6003        flat       3      fixed
## 6004   upsloping       0     normal
## 6005   upsloping       0 reversible
## 6006   upsloping       0      fixed
## 6007   upsloping       1     normal
## 6008   upsloping       1 reversible
## 6009   upsloping       1      fixed
## 6010   upsloping       3     normal
## 6011   upsloping       3 reversible
## 6012   upsloping       3      fixed
## 6013 downsloping       0     normal
## 6014 downsloping       0 reversible
## 6015 downsloping       0      fixed
## 6016 downsloping       1     normal
## 6017 downsloping       1 reversible
## 6018 downsloping       1      fixed
## 6019 downsloping       3     normal
## 6020 downsloping       3 reversible
## 6021 downsloping       3      fixed
## 6022        flat       0     normal
## 6023        flat       0 reversible
## 6024        flat       0      fixed
## 6025        flat       1     normal
## 6026        flat       1 reversible
## 6027        flat       1      fixed
## 6028        flat       3     normal
## 6029        flat       3 reversible
## 6030        flat       3      fixed
## 6031   upsloping       0     normal
## 6032   upsloping       0 reversible
## 6033   upsloping       0      fixed
## 6034   upsloping       1     normal
## 6035   upsloping       1 reversible
## 6036   upsloping       1      fixed
## 6037   upsloping       3     normal
## 6038   upsloping       3 reversible
## 6039   upsloping       3      fixed
## 6040 downsloping       0     normal
## 6041 downsloping       0 reversible
## 6042 downsloping       0      fixed
## 6043 downsloping       1     normal
## 6044 downsloping       1 reversible
## 6045 downsloping       1      fixed
## 6046 downsloping       3     normal
## 6047 downsloping       3 reversible
## 6048 downsloping       3      fixed
## 6049        flat       0     normal
## 6050        flat       0 reversible
## 6051        flat       0      fixed
## 6052        flat       1     normal
## 6053        flat       1 reversible
## 6054        flat       1      fixed
## 6055        flat       3     normal
## 6056        flat       3 reversible
## 6057        flat       3      fixed
## 6058   upsloping       0     normal
## 6059   upsloping       0 reversible
## 6060   upsloping       0      fixed
## 6061   upsloping       1     normal
## 6062   upsloping       1 reversible
## 6063   upsloping       1      fixed
## 6064   upsloping       3     normal
## 6065   upsloping       3 reversible
## 6066   upsloping       3      fixed
## 6067 downsloping       0     normal
## 6068 downsloping       0 reversible
## 6069 downsloping       0      fixed
## 6070 downsloping       1     normal
## 6071 downsloping       1 reversible
## 6072 downsloping       1      fixed
## 6073 downsloping       3     normal
## 6074 downsloping       3 reversible
## 6075 downsloping       3      fixed
## 6076        flat       0     normal
## 6077        flat       0 reversible
## 6078        flat       0      fixed
## 6079        flat       1     normal
## 6080        flat       1 reversible
## 6081        flat       1      fixed
## 6082        flat       3     normal
## 6083        flat       3 reversible
## 6084        flat       3      fixed
## 6085   upsloping       0     normal
## 6086   upsloping       0 reversible
## 6087   upsloping       0      fixed
## 6088   upsloping       1     normal
## 6089   upsloping       1 reversible
## 6090   upsloping       1      fixed
## 6091   upsloping       3     normal
## 6092   upsloping       3 reversible
## 6093   upsloping       3      fixed
## 6094 downsloping       0     normal
## 6095 downsloping       0 reversible
## 6096 downsloping       0      fixed
## 6097 downsloping       1     normal
## 6098 downsloping       1 reversible
## 6099 downsloping       1      fixed
## 6100 downsloping       3     normal
## 6101 downsloping       3 reversible
## 6102 downsloping       3      fixed
## 6103        flat       0     normal
## 6104        flat       0 reversible
## 6105        flat       0      fixed
## 6106        flat       1     normal
## 6107        flat       1 reversible
## 6108        flat       1      fixed
## 6109        flat       3     normal
## 6110        flat       3 reversible
## 6111        flat       3      fixed
## 6112   upsloping       0     normal
## 6113   upsloping       0 reversible
## 6114   upsloping       0      fixed
## 6115   upsloping       1     normal
## 6116   upsloping       1 reversible
## 6117   upsloping       1      fixed
## 6118   upsloping       3     normal
## 6119   upsloping       3 reversible
## 6120   upsloping       3      fixed
## 6121 downsloping       0     normal
## 6122 downsloping       0 reversible
## 6123 downsloping       0      fixed
## 6124 downsloping       1     normal
## 6125 downsloping       1 reversible
## 6126 downsloping       1      fixed
## 6127 downsloping       3     normal
## 6128 downsloping       3 reversible
## 6129 downsloping       3      fixed
## 6130        flat       0     normal
## 6131        flat       0 reversible
## 6132        flat       0      fixed
## 6133        flat       1     normal
## 6134        flat       1 reversible
## 6135        flat       1      fixed
## 6136        flat       3     normal
## 6137        flat       3 reversible
## 6138        flat       3      fixed
## 6139   upsloping       0     normal
## 6140   upsloping       0 reversible
## 6141   upsloping       0      fixed
## 6142   upsloping       1     normal
## 6143   upsloping       1 reversible
## 6144   upsloping       1      fixed
## 6145   upsloping       3     normal
## 6146   upsloping       3 reversible
## 6147   upsloping       3      fixed
## 6148 downsloping       0     normal
## 6149 downsloping       0 reversible
## 6150 downsloping       0      fixed
## 6151 downsloping       1     normal
## 6152 downsloping       1 reversible
## 6153 downsloping       1      fixed
## 6154 downsloping       3     normal
## 6155 downsloping       3 reversible
## 6156 downsloping       3      fixed
## 6157        flat       0     normal
## 6158        flat       0 reversible
## 6159        flat       0      fixed
## 6160        flat       1     normal
## 6161        flat       1 reversible
## 6162        flat       1      fixed
## 6163        flat       3     normal
## 6164        flat       3 reversible
## 6165        flat       3      fixed
## 6166   upsloping       0     normal
## 6167   upsloping       0 reversible
## 6168   upsloping       0      fixed
## 6169   upsloping       1     normal
## 6170   upsloping       1 reversible
## 6171   upsloping       1      fixed
## 6172   upsloping       3     normal
## 6173   upsloping       3 reversible
## 6174   upsloping       3      fixed
## 6175 downsloping       0     normal
## 6176 downsloping       0 reversible
## 6177 downsloping       0      fixed
## 6178 downsloping       1     normal
## 6179 downsloping       1 reversible
## 6180 downsloping       1      fixed
## 6181 downsloping       3     normal
## 6182 downsloping       3 reversible
## 6183 downsloping       3      fixed
## 6184        flat       0     normal
## 6185        flat       0 reversible
## 6186        flat       0      fixed
## 6187        flat       1     normal
## 6188        flat       1 reversible
## 6189        flat       1      fixed
## 6190        flat       3     normal
## 6191        flat       3 reversible
## 6192        flat       3      fixed
## 6193   upsloping       0     normal
## 6194   upsloping       0 reversible
## 6195   upsloping       0      fixed
## 6196   upsloping       1     normal
## 6197   upsloping       1 reversible
## 6198   upsloping       1      fixed
## 6199   upsloping       3     normal
## 6200   upsloping       3 reversible
## 6201   upsloping       3      fixed
## 6202 downsloping       0     normal
## 6203 downsloping       0 reversible
## 6204 downsloping       0      fixed
## 6205 downsloping       1     normal
## 6206 downsloping       1 reversible
## 6207 downsloping       1      fixed
## 6208 downsloping       3     normal
## 6209 downsloping       3 reversible
## 6210 downsloping       3      fixed
## 6211        flat       0     normal
## 6212        flat       0 reversible
## 6213        flat       0      fixed
## 6214        flat       1     normal
## 6215        flat       1 reversible
## 6216        flat       1      fixed
## 6217        flat       3     normal
## 6218        flat       3 reversible
## 6219        flat       3      fixed
## 6220   upsloping       0     normal
## 6221   upsloping       0 reversible
## 6222   upsloping       0      fixed
## 6223   upsloping       1     normal
## 6224   upsloping       1 reversible
## 6225   upsloping       1      fixed
## 6226   upsloping       3     normal
## 6227   upsloping       3 reversible
## 6228   upsloping       3      fixed
## 6229 downsloping       0     normal
## 6230 downsloping       0 reversible
## 6231 downsloping       0      fixed
## 6232 downsloping       1     normal
## 6233 downsloping       1 reversible
## 6234 downsloping       1      fixed
## 6235 downsloping       3     normal
## 6236 downsloping       3 reversible
## 6237 downsloping       3      fixed
## 6238        flat       0     normal
## 6239        flat       0 reversible
## 6240        flat       0      fixed
## 6241        flat       1     normal
## 6242        flat       1 reversible
## 6243        flat       1      fixed
## 6244        flat       3     normal
## 6245        flat       3 reversible
## 6246        flat       3      fixed
## 6247   upsloping       0     normal
## 6248   upsloping       0 reversible
## 6249   upsloping       0      fixed
##  [ reached 'max' / getOption("max.print") -- omitted 101751 rows ]

There are a mere 108,000 rows here (and a fair few columns also). That is fine — as long as you don’t display them all for a grader to have to page through!

\(\blacksquare\)

Find the largest predicted probability (which is the predicted probability of heart disease) and display all the variables that it was a prediction for.

Solution

The (at current writing) approved way to do this is to use slice_max. This finds the rows with maximum value(s) on a variable, which is exactly what we want. It goes like this:

p %>% slice_max(predicted, n = 1)

##   rowid     type predicted    std.error conf.low conf.high heart.disease  sex
## 1 13049 response 0.9999983 3.918393e-06 0.999837         1            no male
##      pain.type resting.bp serum.chol max.hr oldpeak slope colored       thal
## 1 asymptomatic        200        564     71     6.2  flat       3 reversible

The inputs to slice_max are the column whose maximum value you want, and the number of rows you want (so n = 3 would display the three rows with the highest predicted probabilities).

Variations:

by using prop instead of n, you can display the proportion of rows with the highest values on your variable, such as the 10% of rows with the highest predicted probabilities with prop = 0.10
there is also slice_min that displays the rows with the lowest values on a variable, or the input proportion of rows with the lowest values
there are alse slice_head and slice_tail that display the first and last (respectively) rows in a dataframe. The default display of a dataframe in an R Notebook is thus

p %>% slice_head(n = 10)

##    rowid     type predicted  std.error   conf.low conf.high heart.disease  sex
## 1      1 response 0.4840884 0.26015315 0.10858288 0.8784638            no male
## 2      2 response 0.7880319 0.17215432 0.33028444 0.9655472            no male
## 3      3 response 0.4043889 0.26993345 0.07019033 0.8592830            no male
## 4      4 response 0.7447668 0.19534420 0.28024364 0.9562714            no male
## 5      5 response 0.9203905 0.07531898 0.60657581 0.9885967            no male
## 6      6 response 0.6786011 0.23916970 0.19750828 0.9476802            no male
## 7      7 response 0.9657764 0.03922606 0.73379447 0.9965505            no male
## 8      8 response 0.9911354 0.01060165 0.91307661 0.9991604            no male
## 9      9 response 0.9533128 0.05461959 0.64821589 0.9956000            no male
## 10    10 response 0.2517945 0.20668885 0.03771116 0.7429256            no male
##       pain.type resting.bp serum.chol max.hr oldpeak     slope colored
## 1  asymptomatic         94        126     71       0      flat       0
## 2  asymptomatic         94        126     71       0      flat       0
## 3  asymptomatic         94        126     71       0      flat       0
## 4  asymptomatic         94        126     71       0      flat       1
## 5  asymptomatic         94        126     71       0      flat       1
## 6  asymptomatic         94        126     71       0      flat       1
## 7  asymptomatic         94        126     71       0      flat       3
## 8  asymptomatic         94        126     71       0      flat       3
## 9  asymptomatic         94        126     71       0      flat       3
## 10 asymptomatic         94        126     71       0 upsloping       0
##          thal
## 1      normal
## 2  reversible
## 3       fixed
## 4      normal
## 5  reversible
## 6       fixed
## 7      normal
## 8  reversible
## 9       fixed
## 10     normal

except that the default display also tells you how many rows there are altogether.

you may have run into slice_sample, which displays a randomly-chosen number or proportion of rows from a dataframe. This is useful after you read in a dataframe from a file, if you want to get a sense of what kind of values you have in your dataframe (for example, if they are ordered by something and looking at the first ten rows won’t tell you the whole story, such as having males listed first and you want to check that there are some females as well):

p %>% slice_sample(n = 10)

##    rowid     type predicted   std.error   conf.low conf.high heart.disease
## 1  53751 response 0.7256533 0.376720147 0.06087308 0.9908201            no
## 2  47026 response 0.2036584 0.238000424 0.01420553 0.8194534            no
## 3  19771 response 0.6917220 0.197561555 0.26743943 0.9323914            no
## 4  45758 response 0.6197210 0.393948586 0.05797736 0.9773505            no
## 5  26121 response 0.8578826 0.205782593 0.18089296 0.9939759            no
## 6  76988 response 0.3835134 0.357924015 0.03101496 0.9236112            no
## 7   5069 response 0.9971035 0.005399105 0.89819727 0.9999256            no
## 8   5995 response 0.8978355 0.086041059 0.58295851 0.9822224            no
## 9  33785 response 0.9983106 0.002701200 0.96240473 0.9999267            no
## 10 86160 response 0.8121677 0.297026385 0.08690634 0.9949350            no
##       sex    pain.type resting.bp serum.chol max.hr oldpeak       slope colored
## 1    male      typical        200        564  153.5     1.6 downsloping       0
## 2    male      typical        130        245   71.0     0.8 downsloping       0
## 3    male   nonanginal        130        213  166.0     0.0        flat       3
## 4    male      typical        120        564  166.0     1.6 downsloping       0
## 5    male   nonanginal        200        281  133.0     6.2   upsloping       0
## 6  female   nonanginal        140        245  153.5     6.2   upsloping       0
## 7    male asymptomatic        120        564  133.0     6.2 downsloping       0
## 8    male asymptomatic        130        213   71.0     1.6        flat       0
## 9    male     atypical        130        245  153.5     6.2        flat       3
## 10 female     atypical        120        564  153.5     6.2        flat       0
##          thal
## 1       fixed
## 2      normal
## 3      normal
## 4  reversible
## 5       fixed
## 6  reversible
## 7  reversible
## 8      normal
## 9  reversible
## 10      fixed

If you didn’t think of slice_max, there are lots of other ways. Find one. Here are some examples:

p %>% filter(predicted == max(predicted))

##   rowid     type predicted    std.error conf.low conf.high heart.disease  sex
## 1 13049 response 0.9999983 3.918393e-06 0.999837         1            no male
##      pain.type resting.bp serum.chol max.hr oldpeak slope colored       thal
## 1 asymptomatic        200        564     71     6.2  flat       3 reversible

or if you didn’t think of that, you can find the maximum first, and then display the rows with predictions close to it:

p %>% summarize(m = max(predicted))

##           m
## 1 0.9999983

p %>% filter(predicted > 0.999998)

##   rowid     type predicted    std.error conf.low conf.high heart.disease  sex
## 1 13049 response 0.9999983 3.918393e-06 0.999837         1            no male
##      pain.type resting.bp serum.chol max.hr oldpeak slope colored       thal
## 1 asymptomatic        200        564     71     6.2  flat       3 reversible

or even find which row has the maximum, and then display that row:

p %>% summarize(row = which.max(predicted))

##     row
## 1 13049

p %>% slice(13049)

##   rowid     type predicted    std.error conf.low conf.high heart.disease  sex
## 1 13049 response 0.9999983 3.918393e-06 0.999837         1            no male
##      pain.type resting.bp serum.chol max.hr oldpeak slope colored       thal
## 1 asymptomatic        200        564     71     6.2  flat       3 reversible

or sort the rows by predicted, descending, and display the top few:

p %>% arrange(desc(predicted)) %>% slice(1:8)

##   rowid     type predicted    std.error  conf.low conf.high heart.disease  sex
## 1 13049 response 0.9999983 3.918393e-06 0.9998370 1.0000000            no male
## 2 13067 response 0.9999960 9.370434e-06 0.9995927 1.0000000            no male
## 3 13058 response 0.9999953 1.138884e-05 0.9994484 1.0000000            no male
## 4 13157 response 0.9999941 1.274257e-05 0.9996012 0.9999999            no male
## 5 40049 response 0.9999940 1.442864e-05 0.9993175 0.9999999            no male
## 6 13048 response 0.9999934 1.567730e-05 0.9993250 0.9999999            no male
## 7 10349 response 0.9999929 1.545826e-05 0.9995023 0.9999999            no male
## 8 13265 response 0.9999910 1.916076e-05 0.9994188 0.9999999            no male
##      pain.type resting.bp serum.chol max.hr oldpeak       slope colored
## 1 asymptomatic        200        564   71.0     6.2        flat       3
## 2 asymptomatic        200        564   71.0     6.2 downsloping       3
## 3 asymptomatic        200        564   71.0     6.2   upsloping       3
## 4 asymptomatic        200        564  133.0     6.2        flat       3
## 5     atypical        200        564   71.0     6.2        flat       3
## 6 asymptomatic        200        564   71.0     6.2        flat       3
## 7 asymptomatic        140        564   71.0     6.2        flat       3
## 8 asymptomatic        200        564  153.5     6.2        flat       3
##         thal
## 1 reversible
## 2 reversible
## 3 reversible
## 4 reversible
## 5 reversible
## 6     normal
## 7 reversible
## 8 reversible

\(\blacksquare\)

Compare the summary of the final model from step with your highest predicted heart disease probability and the values of the other variables that make it up. Are they consistent?

Solution

Since we were predicting the probability of heart disease, a more positive slope in the model from step will be associated with a higher probability of heart disease. So, there, we are looking for a couple of things: if the variable is a factor, we’re looking for the level with the most positive slope (bearing in mind that this might be the baseline), and for a numeric variable, if the slope is positive, a high value is associated with heart disease, and if negative, a low value. Bearing that in mind, we go back to my summary(heart.3):

summary(heart.3)

## 
## Call:
## glm(formula = factor(heart.disease) ~ sex + pain.type + resting.bp + 
##     serum.chol + max.hr + oldpeak + slope + colored + thal, family = "binomial", 
##     data = heart)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.7103  -0.4546  -0.1442   0.3864   2.7121  
## 
## Coefficients:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)         -4.818418   2.550437  -1.889 0.058858 .  
## sexmale              1.850559   0.561583   3.295 0.000983 ***
## pain.typeatypical   -1.268233   0.604488  -2.098 0.035903 *  
## pain.typenonanginal -2.086204   0.486591  -4.287 1.81e-05 ***
## pain.typetypical    -2.532340   0.748941  -3.381 0.000722 ***
## resting.bp           0.024125   0.011077   2.178 0.029410 *  
## serum.chol           0.007142   0.003941   1.812 0.069966 .  
## max.hr              -0.020373   0.010585  -1.925 0.054262 .  
## oldpeak              0.467028   0.233280   2.002 0.045284 *  
## slopeflat            0.859564   0.922749   0.932 0.351582    
## slopeupsloping      -0.165832   0.991474  -0.167 0.867167    
## colored              1.134561   0.261547   4.338 1.44e-05 ***
## thalnormal           0.323543   0.813442   0.398 0.690818    
## thalreversible       1.700314   0.805127   2.112 0.034699 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 370.96  on 269  degrees of freedom
## Residual deviance: 173.57  on 256  degrees of freedom
## AIC: 201.57
## 
## Number of Fisher Scoring iterations: 6

sex: being male has the higher risk, by a lot
pain: all the slopes shown are negative, so the highest risk goes with the baseline one asymptomatic.
resting.bp: positive slope, so higher risk with higher value.
serum.chol: same.
max.hr: negative slope, so greatest risk with smaller value.
oldpeak: positive slope, greater risk with higher value again.
slope: flat has greatest risk.
colored: positive slope, so beware of higher value.
thal: reversible has greatest risk.

Then we can do the same thing for the prediction.

and the highest prediction:

p %>% slice_max(predicted, n = 1)

##   rowid     type predicted    std.error conf.low conf.high heart.disease  sex
## 1 13049 response 0.9999983 3.918393e-06 0.999837         1            no male
##      pain.type resting.bp serum.chol max.hr oldpeak slope colored       thal
## 1 asymptomatic        200        564     71     6.2  flat       3 reversible

For the numerical variables, we may need to check back to the previous part to see whether the value shown was high or low. Once you have done that, you can see that the variable values for the highest predicted probability do indeed match the ones we thought should be the highest risk.

Extra: the interesting thing about this is that even after adjusting for all of the other variables, there is a greater risk of heart disease if you are male (and the model shows that the risk is much greater). That is to say, it’s being male that makes the difference, not the fact that any of the other variables are different for males.

It’s rather difficult to scan 108,000 predictions to see the effect of being male, but we can do this:

predictions(heart.3, variables = "sex")

##   rowid     type predicted std.error heart.disease    pain.type resting.bp
## 1     1 response 0.5849307 0.1111510            no asymptomatic   131.3444
## 2     2 response 0.1813080 0.0810187            no asymptomatic   131.3444
##   serum.chol   max.hr oldpeak     slope   colored   thal    sex
## 1   249.6593 149.6778    1.05 upsloping 0.6703704 normal   male
## 2   249.6593 149.6778    1.05 upsloping 0.6703704 normal female

What this does is to choose a single representative value for all the other variables: the mean for a quantitative variable like resting blood pressure, and the most common category for a categorical variable like pain.type. If you scan all the way along the two rows, you find that the values for all the variables are the same except for sex at the end. The predicted probabilities of heart disease are very different for males and females (much higher for males), especially given that all else really is equal.

To see this graphically, we can use plot_cap, and we can include another variable such as resting blood pressure. It’s better to list the quantitative one first:

plot_cap(heart.3, condition = c("resting.bp", "sex"))

As the resting blood pressure increases, the probability of heart disease increases, but the blue line for males is well above the red one for females all the way across. For example, for a 50% chance of heart disease, this will happen for males with a resting blood pressure of about 120, but for females not until the resting blood pressure reaches 190!

Perhaps, therefore, the easiest way to avoid a heart attack is to not be male!

\(\blacksquare\)

26.17 Successful breastfeeding

Read the data into R and display the data frame.

Solution

No great challenge here, I hope:

my_url <- "http://ritsokiguess.site/datafiles/breastfeed.csv"
breastfeed <- read_csv(my_url)

## Rows: 6 Columns: 3
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## dbl (3): gest.age, bf.yes, bf.no
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.

breastfeed

## # A tibble: 6 × 3
##   gest.age bf.yes bf.no
##      <dbl>  <dbl> <dbl>
## 1       28      2     4
## 2       29      2     3
## 3       30      7     2
## 4       31      7     2
## 5       32     16     4
## 6       33     14     1

That looks reasonable.

\(\blacksquare\)

Verify that there were indeed 64 infants, by having R do a suitable calculation on your data frame that gives the right answer for the right reason.

Solution

The second and third columns are all frequencies, so it’s a question of adding them up. For example:

breastfeed %>% summarize(total = sum(bf.yes) + sum(bf.no))

## # A tibble: 1 × 1
##   total
##   <dbl>
## 1    64

or if you want to go nuts (this one pivot-longers all the frequencies together into one column and then adds them up):

breastfeed %>%
  pivot_longer(bf.yes:bf.no, names_to="yesno", values_to="freq") %>%
  summarize(total = sum(freq))

## # A tibble: 1 × 1
##   total
##   <dbl>
## 1    64

Find a way to get it done. If it works and it does the right thing, it’s good.

Do not copy the numbers out of your data frame, type them in again and use R to add them up. Do something with your data frame as you read it in.

\(\blacksquare\)

Do you think, looking at the data, that there is a relationship between gestational age and whether or not the baby was successfully breastfeeding when it left the hospital? Explain briefly.

Solution

The babies with the youngest gestational age (the most premature) were mostly not breastfeeding when they left the hospital. Most of the 30- and 31-week babies were breastfeeding, and almost all of the 32- and 33-week babies were breastfeeding. So I think there will be a relationship: as gestational age increases, the probability that the baby will be breastfeeding will also increase. (This, looking ahead, suggests a positive slope in a logistic regression.)

\(\blacksquare\)

Why is logistic regression a sensible technique to use here? Explain briefly.

Solution

The response variable is a yes/no: whether or not an infant is breastfeeding. We want to predict the probability of the response being in one or the other category. This is what logistic regression does. (The explanatory variable(s) are usually numerical, as here, but they could be factors as well, or a mixture. The key is the kind of response. The number of babies that are successfully breastfeeding at a certain gestational age is modelled as binomial with \(n\) being the total number of babies of that gestational age, and \(p\) being something that might depend, and here does depend, on gestational age.)

\(\blacksquare\)

Fit a logistic regression to predict the probability that an infant will be breastfeeding from its gestational age. Show the output from your logistic regression.

Solution

These are summarized data, rather than one infant per line, so what we have to do is to make a two-column response “matrix”, successes in the first column and failures in the second, and then predict that from gestational age. (That’s why this was three marks rather than two.) So, let’s make the response first:

response <- with(breastfeed, cbind(bf.yes, bf.no))
response

##      bf.yes bf.no
## [1,]      2     4
## [2,]      2     3
## [3,]      7     2
## [4,]      7     2
## [5,]     16     4
## [6,]     14     1

or, more Tidyverse-like, but we have to remember to turn it into a matrix:

response <- breastfeed %>%
  select(starts_with("bf")) %>%
  as.matrix()
response

##      bf.yes bf.no
## [1,]      2     4
## [2,]      2     3
## [3,]      7     2
## [4,]      7     2
## [5,]     16     4
## [6,]     14     1

I used a select-helper, because what immediately came to me was that the names of the columns I wanted started with bf, but whatever way you have that works is good. Now we fit the logistic regression:

breastfeed.1 <- glm(response ~ gest.age, data = breastfeed, family = "binomial")
summary(breastfeed.1)

## 
## Call:
## glm(formula = response ~ gest.age, family = "binomial", data = breastfeed)
## 
## Deviance Residuals: 
##       1        2        3        4        5        6  
## -0.1472  -0.4602   0.8779   0.1114  -0.6119   0.3251  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)   
## (Intercept) -16.7198     6.0630  -2.758  0.00582 **
## gest.age      0.5769     0.1977   2.918  0.00352 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 11.1772  on 5  degrees of freedom
## Residual deviance:  1.4968  on 4  degrees of freedom
## AIC: 19.556
## 
## Number of Fisher Scoring iterations: 4

\(\blacksquare\)

Does the significance or non-significance of the slope of gest.age surprise you? Explain briefly.

Solution

The slope is significant (P-value 0.0035 is much less than 0.05). We said above that we expected there to be a relationship between gestational age and whether or not the baby was breastfeeding, and this significant slope is confirming that there is a relationship. So this is exactly what we expected to see, and not a surprise at all. If you concluded above that you did not see a relationship, you should colour yourself surprised here. Consistency.

\(\blacksquare\)

Is your slope (in the Estimate column) positive or negative? What does that mean, in terms of gestational ages and breastfeeding? Explain briefly.

Solution

My slope is 0.5769, positive. That means that as the explanatory variable, gestational age, increases, the probability of the event (that the baby is breastfeeding) also increases. This is also what I observed above: almost all of the near-term (large gestational age) babies were breastfeeding, whereas a fair few of the small-gestational-age (very premature) ones were not.

We know that the event is “is breastfeeding” rather than “is not”, because the first column of our response matrix is “yes” rather than “no”:

response

##      bf.yes bf.no
## [1,]      2     4
## [2,]      2     3
## [3,]      7     2
## [4,]      7     2
## [5,]     16     4
## [6,]     14     1

(If you had happened to make your response matrix the other way around, the event would have been “is not breastfeeding”, and then your slope would have been the same size but negative.)

\(\blacksquare\)

Obtain the predicted probabilities that an infant will successfully breastfeed for a representative collection of gestational ages.

Solution

This is the easier version of predictions, where you do not have to create a data frame of values to predict from. Thus, you only need something like this, with variables (and no datagrid first):

predictions(breastfeed.1, variables = "gest.age")

##   rowid     type predicted  std.error  conf.low conf.high gest.age
## 1     1 response 0.3620282 0.14035792 0.1470846 0.6512432     28.0
## 2     2 response 0.5025820 0.11259364 0.2947524 0.7095232     29.0
## 3     3 response 0.7059259 0.06554832 0.5638536 0.8167588     30.5
## 4     4 response 0.8508177 0.05270073 0.7165154 0.9278964     32.0
## 5     5 response 0.9103511 0.04606209 0.7706029 0.9684505     33.0

You can see that the predicted probabilities go steadily up as the gestational age goes up, just as we would have expected.

Extra: if you only wanted certain gestational ages, for example 25, 30 and 35, you would do that like this:

new <- datagrid(model = breastfeed.1, gest.age = c(25, 30, 35))
predictions(breastfeed.1, newdata = new)

##   rowid     type  predicted  std.error   conf.low conf.high gest.age
## 1     1 response 0.09134905 0.09599845 0.01031219 0.4923797       25
## 2     2 response 0.64272897 0.07771617 0.48098221 0.7773976       30
## 3     3 response 0.96987261 0.02686505 0.84153715 0.9949018       35

Or, if you wanted to make a graph of the observed and predicted proportions/probabilities, you could do something like this:

plot_cap(breastfeed.1, condition = "gest.age")

or, if you wanted to add the data to this:

breastfeed %>% 
  mutate(total = bf.yes + bf.no, 
         proportion = bf.yes / total) -> d
plot_cap(breastfeed.1, condition = "gest.age") +
  geom_point(data = d, aes(x = gest.age, y = proportion, size = total), inherit.aes = FALSE)

What did I do there? I first created some new variables: total is the total number of babies of each gestational age, and proportion is the observed proportion of breastfeeding babies at each gestational age (number of yes divided by total). pred which are the predictions we did above. Then I repeat the plot_cap, and on that plot I add the observed proportions against gestational age (as points). To do that, I need to change which dataframe I am using (the temporary one called d with the proportions and totals in it), and the variables I am plotting (which are now the ones in d). The way I do that is to put an aes inside the geom_line to say “use this x and y instead”. I also wanted to draw attention to the gestational ages where more babies were observed; I did this by making the size of the plotted points proportional to how many babies there were at that gestational age (which was the quantity total I calculated above).
The legend for total tells you what size point corresponds to how many total babies. The final thing is that plot_cap defines some other things (like the min and max of the confidence interval) that we would also have to supply values for were it not for the inherit.aes at the end; this means “don’t use anything from the original ggplot (the plot_cap), but supply everything yourself”.

The idea is that the observed and predicted should be reasonably close, or at least not grossly different, especially when there is a lot of data (the circles are large), and I think they are close, which indicates that our model is doing a good job. You can see that there is not much data on the left, with small gestational ages, so the confidence interval around the predictions is wider there. On the right, where there is lots of data, the interval is narrower. When the gestational age is large (the baby is closer to being full term rather than premature), there is a good chance that the baby will be able to breastfeed, and we are fairly sure about that.

\(\blacksquare\)

26.18 Making it over the mountains

After the rescue, the age and gender of each person in the party was recorded, along with whether they survived or not. The data are in link.

Read in the data and display its structure. Does that agree with the description in the previous paragraph?

Solution

Nothing very new here:

my_url <- "http://ritsokiguess.site/datafiles/donner.txt"
donner <- read_delim(my_url, " ")

## Rows: 45 Columns: 3
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: " "
## chr (2): gender, survived
## dbl (1): age
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.

donner

## # A tibble: 45 × 3
##      age gender survived
##    <dbl> <chr>  <chr>   
##  1    23 male   no      
##  2    40 female yes     
##  3    40 male   yes     
##  4    30 male   no      
##  5    28 male   no      
##  6    40 male   no      
##  7    45 female no      
##  8    62 male   no      
##  9    65 male   no      
## 10    45 female no      
## # … with 35 more rows

The ages look like ages, and the other variables are categorical as promised, with the right levels. So this looks sensible.

I usually write (or rewrite) the data description myself, but the one I found for these data at link was so nice that I used it as is. You can see that the data format used on that website is not as nice as ours. (I did some work to make it look nicer for you, with proper named categories rather than 0 and 1.)

\(\blacksquare\)

Make graphical or numerical summaries for each pair of variables. That is, you should make a graph or numerical summary for each of age vs. gender, age vs.
survived and gender vs. survived. In choosing the kind of graph or summary that you will use, bear in mind that survived and gender are factors with two levels.

Solution

Thinking about graphs first: we have two numeric-vs-factor graphs (the ones involving age), which I think should be boxplots, though they could be something like side-by-side histograms (if you are willing to grapple with facet_grid). The other two variables are both factors, so a good graph for them would be something like a grouped bar plot (as in the question about parasites earlier). If you prefer numerical summaries: you could do mean age (or some other summary of age) for each group defined by gender or survivorship, and you could do a cross-tabulation of frequencies for gender and survival. I’ll take any mixture of graphs and numerical summaries that addresses each pair of variables somehow and summarizes them in a sensible way. Starting with age vs. gender:

ggplot(donner, aes(x = gender, y = age)) + geom_boxplot()

or:

ggplot(donner, aes(x = age)) + geom_histogram(bins = 10) + facet_grid(gender ~ .)

or:

donner %>% group_by(gender) %>% summarize(m = mean(age))

## # A tibble: 2 × 2
##   gender     m
##   <chr>  <dbl>
## 1 female  31.1
## 2 male    32.2

Age vs. survived is the same idea:

ggplot(donner, aes(x = survived, y = age)) + geom_boxplot()

or:

ggplot(donner, aes(x = age)) + geom_histogram(bins = 10) + facet_grid(survived ~ .)

or:

donner %>% group_by(survived) %>% summarize(m = mean(age))

## # A tibble: 2 × 2
##   survived     m
##   <chr>    <dbl>
## 1 no        35.5
## 2 yes       27.2

For survived against gender, the obvious thing is a cross-tabulation, gotten like this:

with(donner, table(gender, survived))

##         survived
## gender   no yes
##   female  5  10
##   male   20  10

or like this:

donner %>% group_by(gender, survived) %>% summarize(n = n())

## `summarise()` has grouped output by 'gender'. You can override using the
## `.groups` argument.

## # A tibble: 4 × 3
## # Groups:   gender [2]
##   gender survived     n
##   <chr>  <chr>    <int>
## 1 female no           5
## 2 female yes         10
## 3 male   no          20
## 4 male   yes         10

For a graph, borrow the grouped bar-plot idea from the parasites question:

ggplot(donner, aes(x = gender, fill = survived)) + geom_bar(position = "dodge")

I think this way around for x and fill is better, since we want to ask something like “out of the females, how many survived” (that is, gender is explanatory and survival response).

\(\blacksquare\)

For each of the three graphs or summaries in the previous question, what do they tell you about the relationship between the pair of variables concerned? Explain briefly.

Solution

I think the graphs are the easiest thing to interpret, but use whatever you got:

The females on average were younger than the males. (This was still true with the medians, even though those very old males might have pulled the mean up.)
The people who survived were on average younger than those who didn’t (or, the older people tended not to survive).
A greater proportion of females survived than males.

A relevant point about each relationship is good.

\(\blacksquare\)

Fit a logistic regression predicting survival from age and gender. Display the summary.

Solution

Each row of the data frame is one person, so we can use the survived column without going through that two-column response business. However, the response variable survived is a categorical variable expressed as text, so we need to make it into a factor first. Either create a new variable that is the factor version of survived, or do it right in the glm:

donner.1 <- glm(factor(survived) ~ age + gender, family = "binomial", data = donner)
summary(donner.1)

## 
## Call:
## glm(formula = factor(survived) ~ age + gender, family = "binomial", 
##     data = donner)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.7445  -1.0441  -0.3029   0.8877   2.0472  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)  
## (Intercept)  3.23041    1.38686   2.329   0.0198 *
## age         -0.07820    0.03728  -2.097   0.0359 *
## gendermale  -1.59729    0.75547  -2.114   0.0345 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 61.827  on 44  degrees of freedom
## Residual deviance: 51.256  on 42  degrees of freedom
## AIC: 57.256
## 
## Number of Fisher Scoring iterations: 4

We ought to take a moment to think about what is being predicted here:

levels(factor(donner$survived))

## [1] "no"  "yes"

The baseline is the first of these, no, and the thing that is predicted is the probability of the second one, yes (that is, the probability of surviving).

\(\blacksquare\)

Do both explanatory variables have an impact on survival? Does that seem to be consistent with your numerical or graphical summaries? Explain briefly.

Solution

Both explanatory variables have a P-value (just) less than 0.05, so they both have an impact on survival: taking either one of them out of the logistic regression would be a mistake. To see if this makes sense, go back to your plots or summaries, the ones involving survival. For age, the mean or median age of the survivors was less than for the people who died, by five year (median) or eight years (mean), so it makes sense that there would be an age effect. For gender, two-thirds of the women survived and two-thirds of the men died, so there ought to be a gender effect and is.

\(\blacksquare\)

Are the men typically older, younger or about the same age as the women? Considering this, explain carefully what the negative gendermale slope in your logistic regression means.

Solution

The men are typically older than the women. The negative (and significant) gendermale slope means that the probability of a male surviving is less than that of a woman of the same age. Or, though the males are typically older, even after you allow for that, the males have worse survival. (genderfemale is the baseline.) You need to get at the idea of “all else equal” when you’re assessing regression slopes of any kind: regular regression, logistic regression or survival analysis (coming up later). That’s why I said “carefully” in the question. If I say “carefully” or “precisely”, a complete answer is looking for a specific thing to show that you understand the issue completely.

\(\blacksquare\)

Obtain predicted probabilities of survival for each combination of some representative ages and of the two genders in this dataset.

Solution

This is the simplest version of predictions, using variables to pick the representative values for you:

predictions(donner.1, variables = c("age", "gender"))

##    rowid     type  predicted  std.error    conf.low conf.high survived age
## 1      1 response 0.61302822 0.14835669 0.317415947 0.8436698       no  15
## 2      2 response 0.88668846 0.09181091 0.566195670 0.9791302       no  15
## 3      3 response 0.43935567 0.10638552 0.251566044 0.6462789       no  24
## 4      4 response 0.79470387 0.11330089 0.498099889 0.9378846       no  24
## 5      5 response 0.36433597 0.09489750 0.204289024 0.5613180       no  28
## 6      6 response 0.73898501 0.12165366 0.451291689 0.9069418       no  28
## 7      7 response 0.18316607 0.09209645 0.062884867 0.4283504       no  40
## 8      8 response 0.52554048 0.15989796 0.239648863 0.7956146       no  40
## 9      9 response 0.03076455 0.04325543 0.001845139 0.3527587       no  65
## 10    10 response 0.13553852 0.15389121 0.011807792 0.6729187       no  65
##    gender
## 1    male
## 2  female
## 3    male
## 4  female
## 5    male
## 6  female
## 7    male
## 8  female
## 9    male
## 10 female

(There are five ages chosen, something like a five-number summary, and two genders here, so ten predictions.)

These, remember, are predicted probabilities of surviving.

\(\blacksquare\)

Do your predictions support your conclusions from earlier about the effects of age and gender? Explain briefly.

Solution

We said before that the probability of survival was lower if the age was higher. This is confirmed here: for example, look at the odd-numbered rows 1, 3, 5, 7, 9, which are all females of increasing ages; the probability of survival decreases. (Or look at males, in the even-numbered rows; the effect is the same.)

To see the effect of gender, look at two predictions of different genders but the same age (eg. rows 1 and 2). The female is always predicted to have the higher survival probability. This is also what we saw before. The effect of gender is substantial, but not strongly significant, because we only have 45 observations, not so many when all we know about each person is whether they survived or not. I wanted you to think about these different ways to understand the model, and to understand that they all say the same thing, in different ways (and thus you can look at whichever of them is most convenient or comprehensible). For the logistic and survival models, I find looking at predictions to be the easiest way to understand what the model is saying.

\(\blacksquare\)

26.19 Who needs the most intensive care?

The “APACHE II” is a scale for assessing patients who arrive in the intensive care unit (ICU) of a hospital. These are seriously ill patients who may die despite the ICU’s best attempts. APACHE stands for “Acute Physiology And Chronic Health Evaluation”.⁴⁹ The scale score is calculated from several physiological measurements such as body temperature, heart rate and the Glasgow coma scale, as well as the patient’s age. The final result is a score between 0 and 71, with a higher score indicating more severe health issues. Is it true that a patient with a higher APACHE II score has a higher probability of dying?

Data from one hospital are in link. The columns are: the APACHE II score, the total number of patients who had that score, and the number of patients with that score who died.

Read in and display the data (however much of it displays). Why are you convinced that have the right thing?

Solution

Data values separated by one space, so:

my_url <- "http://ritsokiguess.site/datafiles/apache.txt"
icu <- read_delim(my_url, " ")

## Rows: 38 Columns: 3
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: " "
## dbl (3): apache, patients, deaths
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.

icu

## # A tibble: 38 × 3
##    apache patients deaths
##     <dbl>    <dbl>  <dbl>
##  1      0        1      0
##  2      2        1      0
##  3      3        4      1
##  4      4       11      0
##  5      5        9      3
##  6      6       14      3
##  7      7       12      4
##  8      8       22      5
##  9      9       33      3
## 10     10       19      6
## # … with 28 more rows

I had to stop and think about what to call the data frame, since one of the columns is called apache.

Anyway, I appear to have an apache score between 0 and something, a number of patients and a number of deaths (that is no bigger than the number of patients). If you check the original data, the apache scores go up to 41 and are all the values except for a few near the end, so it makes perfect sense that there would be 38 rows.

Basically, any comment here is good, as long as you make one and it has something to do with the data.

apache scores could be as high as 71, but I imagine a patient would have to be very ill to get a score anywhere near that high.

\(\blacksquare\)

Does each row of the data frame relate to one patient or sometimes to more than one? Explain briefly.

Solution

Sometimes to more than one. The number in the patients column says how many patients that line refers to: that is to say (for example) the row where apache equals 6 represents all the patients whose apache score was 6, however many of them there were (14 in this case). I had to be careful with the wording because the first two rows of the data frame actually do refer to only one patient each (who survived in both cases), but the later rows do refer to more than one patient.

\(\blacksquare\)

Explain why this is the kind of situation where you need a two-column response, and create this response variable, bearing in mind that I will (later) want you to estimate the probability of dying, given the apache score.

Solution

This needs a two-column response precisely because each row represents (or could represent) more than one observation. The two columns are the number of observations referring to the event of interest (dying), and the number of observations where that didn’t happen (survived). We don’t actually have the numbers of survivals, but we can calculate these by subtracting from the numbers of patients (since a patient must have either lived or died):

response <- icu %>%
  mutate(survivals = patients - deaths) %>%
  select(deaths, survivals) %>%
  as.matrix()
response

##       deaths survivals
##  [1,]      0         1
##  [2,]      0         1
##  [3,]      1         3
##  [4,]      0        11
##  [5,]      3         6
##  [6,]      3        11
##  [7,]      4         8
##  [8,]      5        17
##  [9,]      3        30
## [10,]      6        13
## [11,]      5        26
## [12,]      5        12
## [13,]     13        19
## [14,]      7        18
## [15,]      7        11
## [16,]      8        16
## [17,]      8        19
## [18,]     13         6
## [19,]      7         8
## [20,]      6         7
## [21,]      9         8
## [22,]     12         2
## [23,]      7         6
## [24,]      8         3
## [25,]      8         4
## [26,]      2         4
## [27,]      5         2
## [28,]      1         2
## [29,]      4         3
## [30,]      4         1
## [31,]      3         0
## [32,]      3         0
## [33,]      1         0
## [34,]      1         0
## [35,]      1         0
## [36,]      1         0
## [37,]      1         0
## [38,]      0         1

noting that the deaths column has to come first since that’s what we want the probability of. It has to be a matrix, so as.matrix is the final step. You can quickly check that the two numbers in each row add up to the number of patients for that row.

Or do everything outside of the data frame:

survivals <- with(icu, patients - deaths)
resp <- with(icu, cbind(deaths, survivals))
resp

##       deaths survivals
##  [1,]      0         1
##  [2,]      0         1
##  [3,]      1         3
##  [4,]      0        11
##  [5,]      3         6
##  [6,]      3        11
##  [7,]      4         8
##  [8,]      5        17
##  [9,]      3        30
## [10,]      6        13
## [11,]      5        26
## [12,]      5        12
## [13,]     13        19
## [14,]      7        18
## [15,]      7        11
## [16,]      8        16
## [17,]      8        19
## [18,]     13         6
## [19,]      7         8
## [20,]      6         7
## [21,]      9         8
## [22,]     12         2
## [23,]      7         6
## [24,]      8         3
## [25,]      8         4
## [26,]      2         4
## [27,]      5         2
## [28,]      1         2
## [29,]      4         3
## [30,]      4         1
## [31,]      3         0
## [32,]      3         0
## [33,]      1         0
## [34,]      1         0
## [35,]      1         0
## [36,]      1         0
## [37,]      1         0
## [38,]      0         1

class(resp)

## [1] "matrix" "array"

Or use the dollar sign instead of the withs. Any of those is good.

I have no objection to your displaying the response matrix.

\(\blacksquare\)

Fit a logistic regression to estimate the probability of death from the apache score, and display the results.

Solution

apache.1 <- glm(response ~ apache, family = "binomial", data = icu)
summary(apache.1)

## 
## Call:
## glm(formula = response ~ apache, family = "binomial", data = icu)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.2508  -0.5662   0.1710   0.6649   2.3695  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  -2.2903     0.2765  -8.282  < 2e-16 ***
## apache        0.1156     0.0160   7.227 4.94e-13 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 106.009  on 37  degrees of freedom
## Residual deviance:  43.999  on 36  degrees of freedom
## AIC: 125.87
## 
## Number of Fisher Scoring iterations: 4

My naming convention has gotten messed up again. This should really be called deaths.1 or something like that, but that would be a really depressing name.

\(\blacksquare\)

Is there a significant effect of apache score on the probability of survival? Explain briefly.

Solution

A gimme two points. The P-value for apache is \(4.94 \times 10^{-13}\), very small, so apache score definitely has an effect on the probability of survival.

\(\blacksquare\)

Is the effect of a larger apache score to increase or to decrease the probability of death? Explain briefly.

Solution

The slope coefficient for apache is 0.1156, positive, and since we are modelling the probability of death (the first column of the response matrix), this says that as apache goes up, the probability of death goes up as well. If you made your response matrix with the columns the other way around, the slope coefficient for apache should be \(-0.1156\), but the explanation should come to the same place, because this says that the probability of survival goes down as apache goes up.

\(\blacksquare\)

Obtain the predicted probability of death for a representative collection of the apache scores that were in the data set. Do your predictions behave as you would expect (from your earlier work)?

Solution

“Representative” is a clue that you can let predictions pick the exact values using variables:

predictions(apache.1, variables = "apache")

##   rowid     type  predicted  std.error   conf.low conf.high apache
## 1     1 response 0.09192721 0.02308364 0.05560281 0.1482565    0.0
## 2     2 response 0.24341350 0.02605492 0.19602193 0.2980157   10.0
## 3     3 response 0.49110180 0.02936804 0.43391128 0.5485262   19.5
## 4     4 response 0.74323712 0.04426703 0.64753485 0.8201705   29.0
## 5     5 response 0.92058988 0.03017508 0.83772233 0.9630094   41.0

As the apache score goes up, the predicted probability of death also goes up. This is what we would expect to see given the positive slope on apache in the model apache.1. (Again, if your model had the columns of the response the other way around, you were predicting the probability of survival, and your predictions should then show it going down rather than up to go with the negative slope you would then have had.)

\(\blacksquare\)

Make a plot of predicted death probability against apache score (joined by lines) with, also on the plot, the observed proportion of deaths within each apache score, plotted against apache score. Does there seem to be good agreement between observation and prediction? Hint: calculate what you need to from the original dataframe first, save it, then make a plot of the predictions, and then to the plot add the appropriate thing from the dataframe you just saved.

Solution

All right, following the hint, let’s start with the original dataframe, called icu. The plot of the predictions is going to show predicted probabilities of death, so from the data we need to find the observed proportions of death at each apache score. Our dataframe has one row for each apache score, so this is not too hard. We have the total number of patients at each score, and the number of deaths out of those patients, so the proportion that died is the second of those divided by the first one:

icu %>% mutate(proportion = deaths / patients) -> d
d

## # A tibble: 38 × 4
##    apache patients deaths proportion
##     <dbl>    <dbl>  <dbl>      <dbl>
##  1      0        1      0     0     
##  2      2        1      0     0     
##  3      3        4      1     0.25  
##  4      4       11      0     0     
##  5      5        9      3     0.333 
##  6      6       14      3     0.214 
##  7      7       12      4     0.333 
##  8      8       22      5     0.227 
##  9      9       33      3     0.0909
## 10     10       19      6     0.316 
## # … with 28 more rows

That looks all right.

To plot predicted values, your first port of call should be plot_cap, since the job of this function is to make a lot of predictions and construct a nice plot of them (and so is better than making a plot out of the predictions you made above):

plot_cap(apache.1, condition = "apache")

This again shows that the predicted probability of death goes up sharply with apache score. Let’s add the data to this graph. The trick is to remember how to add points to a graph you already have, when the points come from a different data set:

plot_cap(apache.1, condition = "apache") +
  geom_point(data = d, aes(x = apache, y = proportion), inherit.aes = FALSE)

That does a reasonably good job, but we can do better. We observe now that most of the points are reasonably close to the curve, except for that one in the bottom right, a patient who had the highest apache score of all, but who happened to survive. The observed proportions that are 1 or 0 over on the right might have been based on only one patient, and the others might have been based on more. So it would be better to encode how many patients each point is based on, for example by the size of the point (you may be able to think of other ways like colour, and you can experiment to see what gets the message across best in your opinion).

A reminder that the inherit.aes is to tell ggplot not to take anything for the geom_point from the plot_cap graph (which has additional things that it would be a pain to override).

All right, we can make the points different sizes according to the number of patients they are based on, thus:

plot_cap(apache.1, condition = "apache") +
  geom_point(data = d, aes(x = apache, y = proportion, size = patients), 
             inherit.aes = FALSE)

This shows clearly that the points on the left and right of the graph are based on very few patients, maybe only one each time. But most of the scores between about 10 and 20 were represented by more patients, maybe up to 30. The bigger circles seem to follow the trend of the predictions pretty well, which is what we were hoping for; the proportions based on small numbers of patients might be further away from the predictions, and that’s all right.

Extra: you can see that we want the proportions to be based on reasonable numbers of patients, but the other end of the issue is that we don’t want to combine patients with very different apache scores, because then you wouldn’t get much of a picture of how well the data follow the trend. This is very much the same idea as choosing the number of bins on a histogram; if you have too many bins, each one will contain very few observations and you won’t see the pattern very clearly, but if you have too few bins, you’ll have lots of observations in each bin but you still won’t see the shape.

With that in mind, perhaps we can try binning the observations in our data here. Let’s see what that does. The starting point is to redefine what I called d before which had the proportion in it:

break_points <- seq(-1, 45, 4)
break_points

##  [1] -1  3  7 11 15 19 23 27 31 35 39 43

icu %>% mutate(bins = cut(apache, breaks = break_points))

## # A tibble: 38 × 4
##    apache patients deaths bins  
##     <dbl>    <dbl>  <dbl> <fct> 
##  1      0        1      0 (-1,3]
##  2      2        1      0 (-1,3]
##  3      3        4      1 (-1,3]
##  4      4       11      0 (3,7] 
##  5      5        9      3 (3,7] 
##  6      6       14      3 (3,7] 
##  7      7       12      4 (3,7] 
##  8      8       22      5 (7,11]
##  9      9       33      3 (7,11]
## 10     10       19      6 (7,11]
## # … with 28 more rows

My bins are 4 apache points wide. I have no idea yet whether that’s any good, but I want to get the procedure down so that I can come back and change that later if I want to.

What I am using to make the bins is a base R function called cut. This makes categorical bins out of a quantitative variable (which is normally a bad idea, but we have our reasons here). It takes two inputs: a vector of numbers to bin, and the points that divide one bin from the next, which I defined into a vector called break_points first. The function cut defines bins as “half-open”, meaning that the top end is included but the bottom end is excluded. (Note for example which bin an apache score of 3 goes into.)

Now we want to total up the patients and deaths within each bin, and, for reasons you’ll see later, we want to know where the middle of each bin is (for which I will use the median of the apache scores within that bin):

icu %>% mutate(bins = cut(apache, breaks = break_points)) %>% 
  group_by(bins) %>% 
  summarize(patients = sum(patients), deaths = sum(deaths), apache = median(apache))

## # A tibble: 11 × 4
##    bins    patients deaths apache
##    <fct>      <dbl>  <dbl>  <dbl>
##  1 (-1,3]         6      1    2  
##  2 (3,7]         46     10    5.5
##  3 (7,11]       105     19    9.5
##  4 (11,15]       92     32   13.5
##  5 (15,19]       85     36   17.5
##  6 (19,23]       57     34   21.5
##  7 (23,27]       36     23   25.5
##  8 (27,31]       18     12   29.5
##  9 (31,35]        6      6   33.5
## 10 (35,39]        2      2   36.5
## 11 (39,43]        1      0   41

We have redefined the names: patients and deaths are now the totals of patients and deaths within each bin, and apache is now something like the middle apache score in each bin.

Now we can work out the proportion of patients that died within each bin, and save that:

icu %>% mutate(bins = cut(apache, breaks = break_points)) %>% 
  group_by(bins) %>% 
  summarize(patients = sum(patients), deaths = sum(deaths), apache = median(apache)) %>% 
  mutate(proportion = deaths / patients) -> d
d

## # A tibble: 11 × 5
##    bins    patients deaths apache proportion
##    <fct>      <dbl>  <dbl>  <dbl>      <dbl>
##  1 (-1,3]         6      1    2        0.167
##  2 (3,7]         46     10    5.5      0.217
##  3 (7,11]       105     19    9.5      0.181
##  4 (11,15]       92     32   13.5      0.348
##  5 (15,19]       85     36   17.5      0.424
##  6 (19,23]       57     34   21.5      0.596
##  7 (23,27]       36     23   25.5      0.639
##  8 (27,31]       18     12   29.5      0.667
##  9 (31,35]        6      6   33.5      1    
## 10 (35,39]        2      2   36.5      1    
## 11 (39,43]        1      0   41        0

Now we redo our graph, but using the proportions in here as the observed proportions of deaths in the data. You might now realize the reason for those values in the apache column: on the graph, the proportion values will be our \(y\) coordinates, but we needed something to be the \(x\) coordinates.

Actually redrawing our graph is in fact exactly the same code as before; the thing that has changed is our definition of d in it:

plot_cap(apache.1, condition = "apache") +
  geom_point(data = d, aes(x = apache, y = proportion, size = patients), 
             inherit.aes = FALSE)

And now we see, with more patients per bin, that the agreement between data and prediction is very good apart from the very small bins on the right.

One modification that you might like to pursue is to have variable-width bins: wider bins at the extremes and narrower bins in the middle, so that each bin has about the same number of patients. You could do this by modifying what I called break_points so that the numbers in it are more spread out at the extremes and closer together in the middle.

Extra extra: if you’re a football fan, you could imagine doing a very similar analysis by modelling the probability of successfully kicking a field goal as it depends on the distance it is attempted from. This would probably work pretty well for the NFL and (no doubt) for the CFL as well. In both these codes of football, field goals are always attempted from between two side-to-side marks on the field called “hash marks”. In the NFL, the hash marks are close together, so field goals are attempted from more or less directly in front of the goalposts. In the CFL, the hash marks are further apart, so a field goal might be attempted from off to the side of the goalposts, and then the probability of success might also depend on how far off to the side you are.

If you happen also to be a rugby fan, you’ll know that kicks at goal might need to be attempted from anywhere on the field, even out near the sidelines, and in that case, the chance of kicking a goal definitely depends on where on the field you are kicking it from as well as how far out it is.

Extra extra extra: football (NFL and CFL) have an effective formality called the “point after”: after a team scores a touchdown, the kicker kicks at goal from right in front of the posts, which is almost never missed. In rugby, the equivalent to a touchdown is called a “try”, and to score a try the player must literally touch the ball down. (Thus, to a rugby fan, the NFL and CFL “touchdowns” are absurd misnomers.) After a try is scored, there is a kick at goal (called a “conversion”) which is not taken from right in front of the posts like in the NFL, but from the side-to-side position on the field where the try was scored. Thus, if a try is scored near the sidelines, as it often is, the conversion has to be kicked from near the sideline as well. The kicker can go as far back down the field as they like, but as you might imagine, a sideline conversion is still very difficult to kick.

Extra-to-the-fourth: the reason for those names in rugby. In the old days, if a team scored a try and kicked the conversion as well, it was called a “goal”, and as a rugby player, you wanted your team to score a goal. Scoring a try allowed a team to “try” to “convert” it into a “goal” by kicking the conversion, hence the names. Because the NFL and CFL have their roots in rugby, they have the “point after” a touchdown as well (with the option now of allowing teams to try for two points after a touchdown as well).

\(\blacksquare\)

26.20 Go away and don’t come back!

Read in and display the data.

Solution

my_url <- "http://ritsokiguess.site/datafiles/ha2.txt"
ha <- read_delim(my_url, " ")

## Rows: 20 Columns: 3
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: " "
## chr (2): second, anger
## dbl (1): anxiety
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.

ha

## # A tibble: 20 × 3
##    second anger anxiety
##    <chr>  <chr>   <dbl>
##  1 y      y          70
##  2 y      y          80
##  3 y      y          50
##  4 y      n          60
##  5 y      n          40
##  6 y      n          65
##  7 y      n          75
##  8 y      n          80
##  9 y      n          70
## 10 y      n          60
## 11 n      y          65
## 12 n      y          50
## 13 n      y          45
## 14 n      y          35
## 15 n      y          40
## 16 n      y          50
## 17 n      n          55
## 18 n      n          45
## 19 n      n          50
## 20 n      n          60

The anxiety scores are numbers; the other two variables are “yes” and “no”, which makes perfect sense.

\(\blacksquare\)

* Fit a logistic regression predicting whether or not a heart attack survivor has a second heart attack, as it depends on anxiety score and whether or not the person took the anger management class. Display the results.

Solution

This:

ha.1 <- glm(factor(second) ~ anger + anxiety, family = "binomial", data = ha)
summary(ha.1)

## 
## Call:
## glm(formula = factor(second) ~ anger + anxiety, family = "binomial", 
##     data = ha)
## 
## Deviance Residuals: 
##      Min        1Q    Median        3Q       Max  
## -1.52106  -0.68746   0.00424   0.70625   1.88960  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)  
## (Intercept) -6.36347    3.21362  -1.980   0.0477 *
## angery      -1.02411    1.17101  -0.875   0.3818  
## anxiety      0.11904    0.05497   2.165   0.0304 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 27.726  on 19  degrees of freedom
## Residual deviance: 18.820  on 17  degrees of freedom
## AIC: 24.82
## 
## Number of Fisher Scoring iterations: 4

There’s no need to worry about two-column responses here, because each row of the data frame refers to only one person, and the response variable second is already a categorical variable with two categories (that needs to be turned into a factor for glm).

\(\blacksquare\)

In the previous part, how can you tell that you were predicting the probability of having a second heart attack (as opposed to the probability of not having one)?

Solution

The levels of a factor are taken in alphabetical order, with n as the baseline, so we are predicting the probability of the second one y.

\(\blacksquare\)

* For the two possible values y and n of anger and the anxiety scores 40, 50 and 60, make a data frame containing all six combinations, and use it to obtain predicted probabilities of a second heart attack. Display your predicted probabilities side by side with what they are predictions for.

Solution

This time, I give you the values I want the predictions for (as opposed to calculating something like quartiles from the data), so we might as well just type them in.

First step, datagrid:

new <- datagrid(model = ha.1, anger = c("y", "n"), anxiety = c(40, 50, 60))
new

##    anger anxiety
## 1:     y      40
## 2:     y      50
## 3:     y      60
## 4:     n      40
## 5:     n      50
## 6:     n      60

Then, the predictions:

predictions(ha.1, newdata = new)

##   rowid     type  predicted  std.error    conf.low conf.high anger anxiety
## 1     1 response 0.06749763 0.08284878 0.005455627 0.4885217     y      40
## 2     2 response 0.19226955 0.15447608 0.032771639 0.6257931     y      50
## 3     3 response 0.43908386 0.22715044 0.113796084 0.8267515     y      60
## 4     4 response 0.16774789 0.16551787 0.019352747 0.6730543     n      40
## 5     5 response 0.39861864 0.19858379 0.115592812 0.7707225     n      50
## 6     6 response 0.68551307 0.16294573 0.331329889 0.9055632     n      60

Extra: In the help file for predictions, you will see it done in one step, with code like

predictions(ha.1, newdata = datagrid(anger = c("y", "n"), ...))

This saves constructing new first, but the code for datagrid is to my mind usually rather long to fit on one line inside the predictions(...).

\(\blacksquare\)

Use your predictions from the previous part to describe the effect of changes in anxiety and anger on the probability of a second heart attack.

Solution

The idea is to change one variable while leaving the other fixed. (This is the common refrain of “all else equal”.)

Pick a level of anger, say n (it doesn’t matter which) and look at the effect of anxiety. The probability of a second heart attack increases sharply from 0.17 to 0.40 to 0.69. So an increased anxiety score is associated with an increased probability of second heart attack (all else equal).

To assess the effect of taking the anger management course, pick an anxiety value, say 40, and compare the probabilities for anger n and y. For someone who has not taken the anger management course, the probability is 0.17, but for someone who has, it drops all the way to 0.07. (The pattern is the same at the other anxiety scores.)

Extra: the reason it doesn’t matter what value of the other variable you look at (as long as you keep it fixed) is that the model is “additive” with no interaction, so that the effect of one variable does not depend on the value of the other one. If we wanted to see whether the effect of anxiety was different according to whether or not the person had taken the anger management course, we would add an interaction between anxiety and anger. But we won’t be doing this kind of thing until we get to analysis of variance, so you don’t need to worry about it yet.

\(\blacksquare\)

Are the effects you described in the previous part consistent with the summary output from glm that you obtained in (here)? Explain briefly how they are, or are not. (You need an explanation for each of anxiety and anger, and you will probably get confused if you look at the P-values, so don’t.)

Solution

In the previous part, we found that increased anxiety went with an increased probability of second heart attack. Back in (here), we found a positive slope of 0.11904 for anxiety, which also means that a higher anxiety score goes with a higher probability of second heart attack. That was not too hard. The other one is a little more work. anger is categorical with two categories n and y. The first one, n, is the baseline, so angery shows how y compares to n. The slope \(-1.04211\) is negative, which means that someone who has taken the anger management course has a lower probability of a second heart attack than someone who hasn’t (all else equal). This is the same story that we got from the predictions. That’s it for that, but I suppose I should talk about those P-values. anxiety is significant, so it definitely has an effect on the probability of a second heart attack. The pattern is clear enough even with this small data set. Here’s a visual:

ggplot(ha, aes(x = second, y = anxiety)) + geom_boxplot()

This is the wrong way around in terms of cause and effect, but it shows pretty clearly that people who suffer a second heart attack have a higher level of anxiety than those who don’t.

That’s clear enough, but what about anger? That is not significant, but there seems to be a visible effect of anger on the predicted probabilities of (here): there we saw that if you had done the anger management course, your probability of a second heart attack was lower. But that’s only the predicted probability, and there is also uncertainty about that, probably quite a lot because we don’t have much data. So if we were to think about confidence intervals for the predicted probabilities, they would be wide, and for the two levels of anger at a fixed anxiety they would almost certainly overlap.

Another way of seeing that is a visual, which would be a side-by-side bar chart:

ggplot(ha, aes(x = anger, fill = second)) + geom_bar(position = "dodge")

A small majority of people who took the anger management did not have a second heart attack, while a small minority of those who did not, did.⁵⁰ But with these small numbers, the difference, even though it points the way we would have guessed, is not large enough to be significant:

with(ha, table(anger, second))

##      second
## anger n y
##     n 4 7
##     y 6 3

This is not nearly far enough from an equal split to be significant. (It’s the same kind of idea as for Mood’s median test in C32/C33.)

\(\blacksquare\)

I get confused about the difference between morals and ethics. [This is a very short description of that difference:] (http://smallbusiness.chron.com/differences-between-ethical-issues-moral-issues-business-48134.html). The basic idea is that morals are part of who you are, derived from religion, philosophy etc. Ethics are how you act in a particular situation: that is, your morals, what you believe, inform your ethics, what you do. That’s why the students had to play the role of an ethics committee, rather than a morals committee; presumably the researcher had good morals, but an ethics committee had to evaluate what he was planning to do, rather than his character as a person.↩︎
As with many of these acronyms, you get the idea that the acronym came first and they devised some words to fit it.↩︎
My daughter learned the word pre-empt because we like to play a bridge app on my phone; in the game of bridge, you make a pre-emptive bid when you have no great strength but a lot of cards of one suit, say seven, and it won’t be too bad if that suit is trumps, no matter what your partner has. If you have a weakish hand with a lot of cards in one suit, your opponents are probably going to be able to bid and make something, so you pre-emptively bid first to try and make it difficult for them.↩︎
This kind of thing is sometimes called an inverse prediction.↩︎
The usual application of this is to combine a number with a vector. If you try to subtract a length-2 vector from a length-6 vector, R will repeat the shorter one three times and do the subtraction, but if you try to subtract a length-2 vector from a length-7 vector, where you’d have to repeat the shorter one a fractional number of times, R will do it, but you’ll get a warning, because this is probably not what you wanted. Try it and see.↩︎
This is done in the geom_point on the website, which is where I learned about it.↩︎
The test is this way because it’s a generalized linear model rather than a regular regression.↩︎
See, I told you it was a little confusing.↩︎
When you have one observation per line, the predictions are of the second of the two levels of the response variable. When you make that two-column response, the predictions are of the probability of being in the first column. That’s what it is. As the young people say, don’t @ me.↩︎
When you have higher-order terms, you have to keep the lower-order ones as well: higher powers, or interactions (as we see in ANOVA later).↩︎
I get confused about the difference between morals and ethics. [This is a very short description of that difference:] (http://smallbusiness.chron.com/differences-between-ethical-issues-moral-issues-business-48134.html). The basic idea is that morals are part of who you are, derived from religion, philosophy etc. Ethics are how you act in a particular situation: that is, your morals, what you believe, inform your ethics, what you do. That’s why the students had to play the role of an ethics committee, rather than a morals committee; presumably the researcher had good morals, but an ethics committee had to evaluate what he was planning to do, rather than his character as a person.↩︎
If you took STAB23, you’ll have used PSPP, which is a free version of SPSS.↩︎
If it is for you, go right ahead, but for me it wasn’t.↩︎
As with many of these acronyms, you get the idea that the acronym came first and they devised some words to fit it.↩︎
Read that carefully.↩︎