Tutorial 06: Correlation

Setting Up

As usual, we will need some data to work with. We’ll be using a dataset measuring participants perceptions of various aspects of their gender identity. We’ll also use a nifty new package called GGally which will help is create some very cool plots.

Task 1

Load packages and data

  1. Load tidyverse and the GGally packages.
  2. Run the codechunk below to read in the data stored in data/gensex_messy.csv, saving it as gensex.

You’ll need to use the library() function to load packages. This function needs to be called somewhere at the beginning of the document.

# read in the data 
gensex <- readr::read_csv("data/gensex_messy.csv")

Data preparation

As usual, before beginning any analysis, we will want to take a look at our data to make sure it’s clean and correct before we proceed. The main reason is that you can generate rs all day easily, but if you don’t know what the variables you are correlating actually mean, that doesn’t do you much good!

Codebook

Variable Type Description
duration Continuous Time spent completing the questionnaire, in seconds
age Continuous Participant age in years
gender Categorical Participant gender
gender_comfortable Continuous How comfortable participants are with their response to gender; Likert 1 - 9, high score = more comfortable
gender_masc Continuous How masculine participants feel they are; Likert 1 - 9, high score = more masculine
gender_fem Continuous How feminine participants feel they are; Likert 1 - 9, high score = more feminine
gender_stability Continuous How stable participants perceive their gender identity to be; Likert 1 - 9, high score = more stable
sexual_strength Continuous How strongly participants experience sexual attraction; Likert 1 - 9, high score = more strongly
sexual_freq Continuous How frequently participants experience sexual attraction; Likert 1 - 9, high score = more frequently
sexual_gender Continuous Sexual preference for genders; Likert 1 - 9, 1 = women, 5 = no preference/no gender, 9 = men
romantic_strength Continuous How strongly participants experience romantic/emotional attraction; Likert 1 - 9, high score = more strongly
romantic_freq Continuous How frequently participants experience romantic/emotional attraction; Likert 1 - 9, high score = more frequently
romantic_gender Continuous Romantic/emotional preference for genders; Likert 1 - 9, 1 = women, 5 = no preference/no gender, 9 = men

For our practice today, let’s investigate ratings of gender identity. We started this with ratings of masculinity and femininity in the lecture, so some of this should be familiar.

Task 2

Select the relevant columns

  1. Change the gensex tibble so that it only contains variables to do with ratings of gender identity. (but not the gender variable, because it is categorical.)
  2. Use the codebook above to find each variable, and make sure you understand how each variable was measured.

You’ll need to use the dplyr::select() function here.


Next


To “change” and object means using the assignment operator <- to save the result into an object with the same name as the object you’ve originally used.


gensex <- gensex |> 
  dplyr::select(gender_comfortable, gender_masc,
                gender_fem, gender_stability)

Correlation Matrices

Basic Matrix with cor()

To start, we can get a very basic correlation matrix very quickly with the function cor() from the stats package, which is automatically loaded. It isn’t very pretty, but it will get us a rough and ready correlation matrix quickly.

Task 3

Produce a simple correlation matrix and explore it

  1. Create a correlation matrix of all four variables by piping the gensex dataset into the cor() function.
  2. If you’ve done the previous step, you’ll notice that there are a lot of NA values in this table. Why do you think this is? What can we do about it? Look at the gensex data to figure out why the correlation matrix contains NAs.
  3. Produce a correlation matrix that doesn’t have any NAs in it.

“Piping” means using the pipe operator |>


Next


You can complete the first step like this:

gensex |> cor()
                   gender_comfortable gender_masc gender_fem gender_stability
gender_comfortable          1.0000000  -0.3045211  0.1733866               NA
gender_masc                -0.3045211   1.0000000 -0.7553645               NA
gender_fem                  0.1733866  -0.7553645  1.0000000               NA
gender_stability                   NA          NA         NA                1

What about the NAs?


Next


The cor() function behaves similarly to functions like mean(), sd(), median() or other functions we use to create summary tables - if there are missing cases in a variable, we don’t get an actual value as result. We get an unhelpful NA instead. Unfortunately, cor() doesn’t have the useful na.rm = ... argument, so we need to manually remove rows with missing values. We don’t expect you to know how to read a correlation matrix at this stage (coming right up!), but have a look at the matrix and see if you can guess which variable might be the one with NAs.

Once you’ve identified the variable, you can use dplyr::filter() along with the is.na() function to remove rows where the problematic variable has missing cases. Remember to save your progress using the assignment operator.


Initially, this is what the result looks like:

gensex |>  stats::cor()
                   gender_comfortable gender_masc gender_fem gender_stability
gender_comfortable          1.0000000  -0.3045211  0.1733866               NA
gender_masc                -0.3045211   1.0000000 -0.7553645               NA
gender_fem                  0.1733866  -0.7553645  1.0000000               NA
gender_stability                   NA          NA         NA                1

The NAs are there because some variables have missing values. Notice that the row labelled as gender_stability as well as the column with this label has NAs in it. From this, we can conclude that gender_stability is the likely culprit.

We need to remove the rows where gender_stability has missing values. We can use good old filter to remove rows based on the gender_stability variable (saving our changes using the assignment operator):

gensex <- gensex |>  
  dplyr::filter(!is.na(gender_stability))

The final result:

gensex |>  
  stats::cor()
                   gender_comfortable gender_masc gender_fem gender_stability
gender_comfortable          1.0000000  -0.3066658  0.1736810        0.6132962
gender_masc                -0.3066658   1.0000000 -0.7563823       -0.2796677
gender_fem                  0.1736810  -0.7563823  1.0000000        0.1827970
gender_stability            0.6132962  -0.2796677  0.1827970        1.0000000
How to read a correlation matrix

Below is a a correlation matrix that you should have created in the previous task, minimally formatted so it’s a little easier to work with:

gender_comfortable gender_masc gender_fem gender_stability
gender_comfortable 1.00 -0.31 0.17 0.61
gender_masc -0.31 1.00 -0.76 -0.28
gender_fem 0.17 -0.76 1.00 0.18
gender_stability 0.61 -0.28 0.18 1.00

The row and column names tell us which variables are being correlated with each other. Let’s take the first row. The row is labelled “gender_comfortable”. Therefore, all of the values in that row will show us how strongly the variable gender_comfortable correlates with the variables that are listed as columns. Let’s look at each column in the first row.

For column labelled “gender_comfortable”, the first value is 1. When we create a correlation matrix, R will produce a correlation of each variable with every other variable, including with itself. gender_comfortable will correlate perfectly with gender_comfortable , which is why the value in this cell is 1 (this is the largest possible value for any correlation).

Second column, still in the first row, is labelled “gender_masc”. We see a correlation of -0.31, which means that the relationship between gender_comfortable and gender_masc is negative - participants who score high on masculine gender perception tend to score lower on their gender comfort. Given that correlation is a value between 0 and 1 (when ignoring the sign), we’d say that this is a moderately strong relationship.

Third column shows small positive relationship (0.17) between gender comfort and perception of femininity, and the final column shows a strong positive relationship (0.61) between gender stability and gender comfort.

We can do this for each row of the matrix to get a full idea of what’s going on. Notice that all values are represented in the matrix twice - again, R is correlating everything with everything which means that we get a correlation of gender_comfortable with gender_masc, and also of gender_masc with gender_comfortable. The diagonal of 1s is like a mirror. So if you’re finding the matrix above quite overwhelming, we can delete the half above (or below) the diagonal and still get all of the information we need:

gender_comfortable gender_masc gender_fem gender_stability
gender_comfortable 1
gender_masc -0.30 1
gender_fem 0.17 -0.75 1
gender_stability 0.61 -0.27 0.18 1

This is all nice and well, but it seems life and awful lot of space to fill with repetitive information. Let’s use the space a little more effectively by adding some visual representation of our data.

Snazzy Matrix with GGally

The GGally package contains a very useful function called ggscatmat(), which we can use to help us better understand the relationships between our variables. It outputs a correlation matrix like the one we saw above, but mixed in with some really useful plots.

Task 4

Produce a nice correlation matrix:

  1. Pipe all the dataset into the ggscatmat() function from theGGally package
  2. Have a look at the output.
  3. Add a theme to this plot in the same way you would for any other ggplot object.

It works in the same way as the cor() function, but you need to replace this function with GGally::ggscatmat().

# create a correlation matrix plot with the GGally::ggscatmat() function 
gensex |> 
  GGally::ggscatmat() +
  ggplot2::theme_bw()

This plot has a lot going on, but don’t worry! That’s just because there’s a lot of useful information here. Let’s focus on one bit at a time.

First, we can see that we have our four variable names listed along the top of the plot, and then the same four names along the side. Where those columns and rows intersect, some cells of the plot contain numbers, some contain dots, and some contain lines. Let’s look first at the lines, which are all on the diagonal.

We saw before that cor() gave us 1s on the diagonal, representing each variable correlated with itself. Here, instead of 1s (which aren’t very helpful or interesting), we actually have a smoothed histogram of each variable (in other words, a density plot). From the shapes that mostly slope dramatically up to the right, we can see that low ratings are uncommon, and high ratings very common. The exceptions are the two variables asking about gender identity (gender_masc and gender_fem), which have means on the low and high ends of the scale respectively.

Next, let’s look at the numbers. You might recognise these values from cor() above. These are the correlation coefficients for each pair of variables. To figure out which variables are involved in the correlation, go up to the column name and along to the row name.

Finally, we have the dots. These are scatterplots of each pair of variables. Again, to find which variables are in each plot, look at the column name and the row name.

So, each unique pair of variables has a scatterplot and a correlation coefficient; and each individual variable has a histogram along the diagonal. Like I said - snazzy!

Mini-quiz

Answer the following questions using the output from ggscatmat().

Question 1

How many pairs of variables have an inverse relationship?

Question 2

What is the value of the correlation r between the two variables with the strongest relationship? Give your answer to two decimal places.

Question 3

What is the value of the correlation r between the two variables with the weakest relationship? Give your answer to two decimal places.

Question 4

To the nearest whole point, what is the most common rating for the variable gender_masc?

Question 5

How can you interpret the scatterplot between gender_comfortable and gender_masc?


Correlation Tests

The output we’ve produced so far tells us a lot of useful information, but we still haven’t actually tested any hypotheses. In the lecture we also talked about reporting significance, degrees of freedom, and CIs, which we can’t get easily from this output.

We can use function correlation which is from the package also called correlation to run some hypothesis tests quickly.

Task 5

Perform a correlation test by following these steps:

  1. Open the help documentation for the correlation::correlation() function.
  2. Use this function to calculate the correlations and hypotheses tests between the pairs of variables in gensex. Save the result into an object called gen_cor.
  3. Stop and look at the values that the output of gen_cor has given you. Based on what you have learned from the lecture, write down what you think this value of r means, and how you could interpret it for these variables.

You can open the documentation for a function by running:

?function_name

or

help(function_name)

Make sure to run these in the console NOT in your quarto doc.


Next


The correlation::correlation() function works very similarly to all the other functions we’ve used so far. It has a lot of arguments, but the only one we need to specify now is the data argument.


Open the documentation for the cor.test() function:

?correlation::correlation

Run a correlation hypothesis test:

gen_cor <- gensex |>  
  correlation::correlation()
gen_cor
# Correlation Matrix (pearson-method)

Parameter1         |       Parameter2 |     r |         95% CI | t(303) |         p
-----------------------------------------------------------------------------------
gender_comfortable |      gender_masc | -0.31 | [-0.41, -0.20] |  -5.61 | < .001***
gender_comfortable |       gender_fem |  0.17 | [ 0.06,  0.28] |   3.07 | 0.003**  
gender_comfortable | gender_stability |  0.61 | [ 0.54,  0.68] |  13.52 | < .001***
gender_masc        |       gender_fem | -0.76 | [-0.80, -0.70] | -20.13 | < .001***
gender_masc        | gender_stability | -0.28 | [-0.38, -0.17] |  -5.07 | < .001***
gender_fem         | gender_stability |  0.18 | [ 0.07,  0.29] |   3.24 | 0.003**  

p-value adjustment method: Holm (1979)
Observations: 305

If you’ve completed the code in your notebook, you should see that the output now looks a little different, but the numbers under the “r” column exactly match the correlation values from the matrix we produced earlier. The Parameter1 and Parameter2 columns contain information about which pair of variables is being correlated (much like the row and column names in the matrix). What’s more, we’re now also getting:

  • 95% confidence intervals for the correlation r

  • The test statistic and degrees of freedom, under t(303)

  • The p-value, representing the hypothesis test. This value tells us whether the test is statistically significant.

Correlation does not imply causation

Although we might conclude from this result that gender comfort and gender stability tend to change in the same way, that does not mean they are causally related. Our results do not necessarily mean that if you are more comfortable with your gender identity, that will cause you also have a more stable identity, or vice versa. It should be clear from the previous statement that there’s no way to establish which of these two might be the cause and which the effect in any case. What our results do suggest is that when gender identity is more stable, there tends to be a higher degree of comfort with that identity, to a degree that is unlikely to occur if there is in fact no real relationship at all between gender stability and comfort.

On the other hand, this doesn’t mean that these two things can’t have an influence on each other. They certainly may! The key point is that two things can be correlated without having any kind of causal relationship, and that correlation alone doesn’t provide any evidence one way or the other. However, if two things do have a causal relationship, they will also almost certainly be correlated as well.

Formatting Results

If you’re only reporting a couple of correlations, then a matrix and a report in text is enough. Other times, like in out case, we have quite a few correlations, so a table might be more appropriate. Let’s have a bit of fun formatting our results with knitr.

Task 6

Format the gen_cor object using the following guidelines

  1. Pipe the object in knitr::kable() and kableExtra::kable_styling() .
  2. Round everything to 2 decimal places
  3. Set informative names
  4. Set an informative caption

If you’re stuck on formatting, have a look at the Summarising Data tutorial - you’ll find everything you need in there!

We could try something along the lines of:

gen_cor |> 
  knitr::kable(
    digits = 2, 
    caption = "Pearson's correlation coefficients and hypotheses tests for gender-related variables in the gensex dataset.", 
    col.names = c("Variable 1", "Variable 2", "r", "CI", "Lower CI", "Upper CI", "t", "DF", "p", "Method", "N")
  ) |> 
  kableExtra::kable_styling()
Pearson's correlation coefficients and hypotheses tests for gender-related variables in the gensex dataset.
Variable 1 Variable 2 r CI Lower CI Upper CI t DF p Method N
gender_comfortable gender_masc -0.31 0.95 -0.41 -0.20 -5.61 303 0 Pearson correlation 305
gender_comfortable gender_fem 0.17 0.95 0.06 0.28 3.07 303 0 Pearson correlation 305
gender_comfortable gender_stability 0.61 0.95 0.54 0.68 13.52 303 0 Pearson correlation 305
gender_masc gender_fem -0.76 0.95 -0.80 -0.70 -20.13 303 0 Pearson correlation 305
gender_masc gender_stability -0.28 0.95 -0.38 -0.17 -5.07 303 0 Pearson correlation 305
gender_fem gender_stability 0.18 0.95 0.07 0.29 3.24 303 0 Pearson correlation 305

We’re using the digits, caption and col.names arguments in the kable() function to tweak the table. The result is pretty nice. Admittedly, there are still some columns that are cluttering up the space. For example, the CI column is not really needed, nor is the method given that we can specify that we’re doing a Pearson correlation in the caption.

For no reward at all, other than the warm fuzzy feeling caused by looking at a neat table, see if you can figure out to remove these unnecessary columns from the table. Hint: you’ll need to do it before you apply the formatting, and keep in mind how this will affect your column names!

Reporting

If we want to highlight the result of a single correlation, it’s better to report it in text rather than just relying on a table. Let’s imagine that one of the key correlations of interest is the one between how comfortable participants are with their gender identity gender_comfortable and how stable they perceive it to be gender_stability.

Results like this correlation test, that have a small number of values to report, are often reported in brackets in the text of your report. This takes the general form:

(name_of_estimate(degrees_of_freedom) = value_of_estimate, p = exact_p, 95% CI [lower_bound, upper_bound])

To get these values, let’s look again at the results that we already saved in the object gen_cor.

Task 7

Report the results of your analysis

  1. Call the name of the object gen_cor to see the displayed output.
  2. Use the general format above and the values in the output to type out the result of the correlation analysis.
  3. To complete our report, we should describe in words what this result means. We essentially include the statistical result as a citation to give evidence for our claim. Have a go writing out a report of this statistical analysis. Include a verbal description of the variables involved, what the analysis tells you, and the statistical results.
Report Formatting

You should never have any raw (unformatted) code or output in a formal report! Always report results in the text, in a figure, or in a formatted table.

This is similar to what you’ve done in the previous tutorial when reporting the t-test. You can revisit the tutorial if you’re stuck!

We start with the general form:

name_of_estimate(degrees_of_freedom) = value_of_estimate, p = exact_p, 95% CI [lower_bound, upper_bound]

Let’s call gen_cor again to remind ourselves of the results:

gen_cor
# Correlation Matrix (pearson-method)

Parameter1         |       Parameter2 |     r |         95% CI | t(303) |         p
-----------------------------------------------------------------------------------
gender_comfortable |      gender_masc | -0.31 | [-0.41, -0.20] |  -5.61 | < .001***
gender_comfortable |       gender_fem |  0.17 | [ 0.06,  0.28] |   3.07 | 0.003**  
gender_comfortable | gender_stability |  0.61 | [ 0.54,  0.68] |  13.52 | < .001***
gender_masc        |       gender_fem | -0.76 | [-0.80, -0.70] | -20.13 | < .001***
gender_masc        | gender_stability | -0.28 | [-0.38, -0.17] |  -5.07 | < .001***
gender_fem         | gender_stability |  0.18 | [ 0.07,  0.29] |   3.24 | 0.003**  

p-value adjustment method: Holm (1979)
Observations: 305

The line that we need to look at in this case is the third one, Now we need each of these values from the output:

  • name_of_estimate: r
  • degrees_of_freedom: 303
  • value_of_estimate: .61
  • p: < .001
  • lower_bound: .54
  • upper_bound: .68

We’re not getting an exact p-value here, because it’s very very very small. In APA style (which is the writing/reporting style we use as standard), we should report exact p values unless they are smaller than .001. In our case, R is telling us that the p-value is indeed smaller than this value, so we can just write “p < .001”.

So, our reporting should look like:

r(303) = .51, p < .001, 95% CI [.54, .68]

Report writing:

You should definitely write out your own report in your own words, but here’s an example:

“A correlation analysis was performed on participants’ ratings of how comfortable they are with their gender identity and how stable they perceive it to be. The results indicated that comfort with gender identity and staility of gender identity were significantly positively correlated (r(303) = .61, p < .001, 95% CI [.54, .68]).”

That’s looking pretty slick! This is exactly the sort of thing you would expect to see in a journal article.

Recap

Whew, well done! You’re welcome - and encouraged! - to keep working with the gensex data to practice what we’ve learned today.

In sum, we’ve covered:

  • How to prepare and visualise data for correlation

  • How to run the analysis, read the output, and store it in an object

  • How to report and interpret the statistical results of these tests in real-world terms

Remember, if you get stuck or you have questions, post them on Discord, or bring them to practicals or to drop-ins.

Good job!

That’s all for today. See you soon!

ChallengR

ChallengR Time!

This task is a ChallengR, which are always optional, and will never be assessed - they’re only there to inspire you to try new things! If you solve this task successfully, you can earn a bonus 2500 Kahoot Points. You can use those points to earn bragging rights and, more importantly, shiny stickers. (See the Games and Awards page on Canvas.)

There are no solutions in this document for this ChallengR task. If you get stuck, ask us for help in your practicals or at the Help Desk, and we’ll be happy to point you in the right direction.

Effective data wrangling with tidyselect

Let’s practice correlations, although this time around, we want to be a little more selective about which correlations we run.

Read in a new dataset called scales_tib and briefly explore it.

scales_tib <- readr::read_csv("data/scales_df.csv")
id cas_into_41 stai_then stars_she youre_slipping_52 stai_charter cas_happened_27 stars_as youre_who stars_he_7 youre_him_58 cas_is keep_to youre_then stars_johnson youre_the_53 cas_by stai_the youre_owes youre_slipping_54 cas_before stai_his_24 stars_harry stars_paying stai_he stai_what_25 keep_i keep_beyond stars_he_2 keep_activity youre_harry stai_good keep_slipping cas_into_38 cas_johnson stai_his_23 cas_man youre_to stai_brownstone cas_without_37 stars_any youre_awesome stars_customer_4 cas_to stars_customer_10 keep_away cas_then cas_happened_39 keep_mainland stai_what_18 youre_the_59 stai_beyond youre_depicts stars_good stai_johnson_26 stai_his_15 stai_airplane cas_without_29 cas_economic youre_brownstone stai_johnson_21 keep_coding cas_harry cas_mr. cas_who youre_him_63
65958 29.991729 20.669696 12.871758 25.104969 27.016915 57.259782 23.171456 13.873021 22.512541 5.835990 25.181188 13.452122 18.661403 22.879269 21.39058 37.280279 28.72968 18.165642 20.407373 53.118018 15.839546 22.341382 40.053545 33.1081651 16.870836 30.559174 28.779726 37.385236 24.121582 11.2281049 32.377603 9.654841 29.233528 36.5975852 25.340008 22.323576 24.893018 30.906990 23.427054 28.669119 14.394558 29.259529 41.650652 36.432132 39.773596 38.774693 33.494906 29.643386 27.589883 16.849494 12.1039570 13.0272138 25.012268 31.094946 21.584560 16.542086 32.401645 46.511599 8.659315 23.314421 17.8419379 42.219011 44.552990 41.208042 22.482667
60001 18.432437 50.844439 41.422065 28.738449 37.442862 21.796148 33.095557 24.264302 30.079100 24.872309 16.476563 25.290816 21.128041 29.297651 19.69811 20.015608 39.10478 29.815247 30.829375 22.344432 38.360469 29.302390 26.294501 32.0665481 38.307917 24.336903 23.850526 34.278065 35.121849 30.7887164 28.070791 25.941902 21.596195 26.7642315 30.004022 22.046763 38.418523 41.707848 16.526428 33.569081 35.698285 32.457597 30.497669 17.504987 19.311606 33.562911 16.470665 29.704743 43.550624 30.842182 37.1287137 19.5848609 31.260960 35.204801 38.074587 50.608144 39.349553 22.838320 26.405307 28.759184 32.0753279 15.008380 5.859851 24.607098 15.793784
43477 28.358898 43.076577 19.747563 14.782402 32.144173 25.479523 31.821414 28.014599 44.368655 27.461541 23.552966 19.731015 41.350575 24.916383 31.20056 24.385985 38.55296 18.262774 22.816933 35.954460 28.418334 33.779845 17.316725 35.4861056 27.707102 19.581929 27.179467 36.252059 16.667759 23.1988392 38.411186 30.033590 20.325258 28.6531056 31.691883 21.531915 24.460557 47.234789 24.090226 49.016856 34.032336 33.860374 18.531740 28.785000 22.751311 21.289259 23.867779 26.595931 30.728741 22.813661 29.7598351 21.3990072 22.495354 34.277547 35.077414 28.031136 30.114356 30.305727 33.759578 35.162721 35.9286631 28.046979 26.346016 24.573498 29.211982
51692 34.330982 35.593887 40.445230 28.023412 37.202786 28.258898 36.781837 30.104349 34.514970 33.455165 40.066247 40.299803 31.273231 27.501320 20.34121 34.200814 31.71157 34.199765 31.032159 32.092631 26.718330 33.048951 33.025348 26.9894784 31.166513 36.307345 20.655322 46.248688 35.026741 32.9802856 40.710961 38.458704 32.473020 36.6494580 23.367096 39.764100 30.175470 34.374571 34.364772 31.238235 34.791324 17.536793 29.602870 28.222298 40.037620 40.032143 39.154441 34.104804 33.740651 29.443674 26.2221184 32.9921143 27.050040 25.864255 38.901692 33.097420 41.241778 28.044968 41.379310 34.182531 36.7877349 28.249667 34.196222 26.817121 26.689086
33548 12.639704 30.857199 37.325904 16.035130 38.804632 27.146690 28.767115 37.462605 39.944851 30.958754 28.563410 39.345744 40.819204 29.461896 30.72998 26.537242 38.59666 40.464133 34.180774 43.188680 30.593921 35.794978 41.931621 25.4839549 34.306067 30.510962 23.516355 49.056472 29.219551 24.0935640 35.747244 35.136025 18.985149 17.3007499 44.077960 26.637638 22.001042 40.057407 22.343187 40.395821 31.192050 29.010356 29.224160 31.829567 36.129570 19.903506 31.702992 37.386477 23.193663 28.922793 37.6990970 30.3313240 42.159011 25.848415 38.525137 38.816961 25.951208 5.554548 36.301369 49.667483 32.8589768 23.455641 30.003212 20.841394 37.508310
42129 39.513543 28.080627 20.631143 32.034721 25.117091 48.580339 23.476507 30.596334 34.903445 35.213448 42.172516 22.565425 42.816860 36.402593 35.94213 44.982394 19.92735 37.096856 23.545065 35.201755 16.519334 15.058570 20.287012 22.4583158 28.121533 24.237546 27.990350 24.771402 26.491805 25.7901911 33.126835 21.028307 24.428367 34.4858231 33.509642 37.555492 30.336732 35.978704 28.282408 27.965807 16.910176 24.595489 33.215477 29.726108 25.442122 40.600388 27.599311 22.192342 27.358759 42.717372 24.7032022 24.5196205 33.715056 31.766472 17.303384 21.409491 36.401894 44.956059 40.740069 30.653270 19.3207262 36.184243 45.134286 34.374169 25.206591
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85631 41.402645 31.636086 26.865201 38.404553 27.538473 28.862344 34.961405 30.847614 19.408684 13.539835 42.823012 32.979247 27.392879 16.147454 42.85713 25.196891 41.81545 28.672609 33.891330 43.245757 22.847996 17.380071 22.197745 23.1074046 31.295919 13.689552 34.270538 18.985479 23.670793 38.8745034 52.211998 30.340190 32.143538 39.2432710 42.221473 33.588508 30.475181 26.172573 40.442496 34.345946 29.405530 24.643523 17.759980 30.615191 46.600111 39.105207 47.655684 51.445874 38.009079 23.951733 12.7023854 36.8562518 36.432336 26.151053 24.690196 34.425941 26.347839 49.306393 31.543775 32.630473 24.4249430 38.600684 30.654922 24.594466 32.968390
38857 34.866949 19.884209 33.848248 14.793857 31.814176 32.137645 34.066599 10.701811 29.791801 24.855710 39.126949 46.723170 40.220517 22.685132 23.96365 32.851010 24.84106 26.315575 29.195649 30.110220 20.381771 27.971499 17.465646 17.9221702 27.036066 39.688187 28.254491 24.118689 24.785205 32.8465171 12.335719 38.276930 35.439430 23.6597047 29.617940 30.145278 16.772807 22.313780 17.649736 28.142604 42.664037 24.967961 36.587972 26.589867 45.105794 33.758598 46.584689 28.296255 28.264436 31.558698 25.4924596 15.9262016 24.894816 34.976961 20.147011 43.505221 42.076741 38.306351 19.108616 32.039829 40.5735827 39.494381 26.540520 28.170457 31.298957
88988 24.692184 22.370135 40.772816 18.985531 21.691153 17.366433 23.317383 30.011300 34.502317 30.791475 21.360583 26.401695 27.020049 32.285154 26.36254 28.332201 38.54227 21.031937 22.470053 18.897459 21.829654 34.850590 29.384088 14.8193172 31.128118 37.048361 32.100947 26.848680 20.383746 34.2409558 25.128723 28.148906 23.832935 30.3623103 35.963451 28.234558 19.446996 33.748800 38.058477 30.693438 9.674319 16.351146 28.312818 27.197115 46.100759 28.432384 18.524835 26.209463 13.291233 16.362530 22.4561591 18.1170506 27.115484 26.468111 33.730489 26.442336 25.341759 25.552543 15.626695 30.563714 21.3436899 12.607037 25.326469 18.311320 9.787889
64026 28.316848 29.499531 34.228336 30.714263 28.207971 31.103566 25.008222 37.751251 18.558009 33.710245 20.002761 19.841513 25.974659 38.807035 22.82838 24.613321 37.47870 37.489433 26.431326 42.426007 35.040370 38.892155 38.930807 27.2598739 22.587069 33.548822 25.411425 44.685225 16.537312 26.8486782 27.432907 32.760302 39.448214 30.2187136 42.994992 31.955479 39.194272 32.169794 40.918221 43.614891 40.279048 17.707455 34.466070 37.956512 43.769687 42.471630 39.765465 22.973601 30.776826 28.293456 29.9873349 26.8768336 21.218798 32.359263 23.568843 35.566227 34.235089 40.489041 15.661512 25.998775 34.6696652 29.713446 25.909688 31.152994 33.306669
36366 36.745003 16.905329 36.208879 24.961144 33.801299 54.295249 37.332282 26.040299 34.325485 25.769177 29.524269 47.266150 20.629789 24.655399 15.11885 34.358159 27.87074 17.565031 7.202623 34.539433 23.719074 41.766707 11.886340 15.7522176 28.141118 40.982457 54.203128 31.257315 58.519944 18.6623554 24.590630 47.185826 45.471988 45.5107857 17.712934 43.269491 28.048049 32.993165 47.298003 18.300202 21.394836 35.690130 36.474964 29.385476 37.262438 38.633857 24.516174 47.447938 19.797487 13.894191 22.4868942 15.4077387 31.838879 16.434260 20.966960 22.873459 40.813171 42.633534 18.515973 34.676848 19.1210857 46.118705 41.696106 34.275641 24.555951
52569 41.801132 33.338276 31.461089 17.609430 38.522511 25.215553 43.047880 27.611237 46.097621 35.954074 23.529746 43.340008 11.057170 35.866378 32.76687 21.839758 37.40079 12.395586 20.709732 24.188145 26.132293 51.635977 42.495556 21.4142289 23.401195 32.108627 20.368116 42.057866 20.155210 30.6010018 32.058063 32.684305 31.137342 28.6382873 30.809343 33.360766 20.461740 22.584551 37.112098 33.732179 21.567472 43.748210 35.214717 34.954306 36.162591 45.628755 34.870944 36.493368 36.742737 14.728163 22.7959501 21.4749440 38.544754 39.674647 30.054371 29.440890 36.243778 30.292421 22.315336 35.162265 20.5937491 32.648014 43.717439 34.029511 33.390107
68112 29.725757 16.405514 22.411580 11.776786 20.502706 26.911400 45.240840 28.314027 26.072872 25.243446 19.848036 27.455874 17.754483 31.174103 20.28521 33.189693 26.18405 42.483472 21.031144 27.110745 19.568146 40.375838 42.438307 37.4574658 22.357013 39.924870 19.424602 26.277695 45.158647 33.1249915 37.952385 30.628785 32.975166 20.9550420 18.681670 22.133519 28.052326 21.247404 20.768763 32.365184 8.400864 29.238757 28.297171 41.212496 25.435062 25.431708 32.526108 40.347371 26.470323 25.849737 26.2863356 36.9583262 33.913620 37.730845 32.053739 21.898169 30.545504 26.723577 27.581131 23.771614 9.8079615 38.844409 31.951472 27.377856 23.128842
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92599 37.909740 31.438873 27.948621 29.798725 27.600996 40.773797 29.421462 35.710805 23.498664 33.669511 16.244911 29.953034 51.164483 35.765541 22.42112 32.800058 33.00986 32.847085 34.914949 30.702320 25.567334 36.432673 39.479714 34.7922943 32.025257 27.654690 28.136868 26.011128 14.451815 26.2019016 23.209240 32.484929 21.597566 38.6305014 30.841222 24.525312 19.337789 39.237716 36.469991 31.936187 37.808318 40.886153 27.984486 28.936700 29.284786 26.675033 33.487281 20.143841 24.458648 28.388632 34.7779749 46.6666864 22.385988 37.825822 42.336788 36.923647 33.298508 29.359322 35.505939 9.210952 38.7120802 32.764599 41.671928 51.413736 24.614652
62711 31.922016 13.984916 10.125764 30.014946 36.723239 31.925203 30.307634 24.914695 22.864120 28.483369 34.622184 23.639801 36.860028 24.927236 43.68764 30.551397 33.52200 17.948909 30.907076 39.176822 44.255531 27.380536 23.913379 35.6291305 46.680058 17.649540 34.154765 14.403542 18.064507 22.8301475 46.319257 31.450181 36.589266 28.0846428 37.123990 33.216096 9.422845 37.005990 23.185971 21.838576 25.177735 26.802760 35.012746 27.630223 29.532247 11.982281 37.228034 26.471083 27.635859 24.240175 27.4453829 40.3571612 33.411055 35.264212 35.171913 29.575375 28.011153 18.987635 41.468767 26.511718 23.0002718 36.190626 40.389838 31.468679 25.058847
84041 23.592387 32.502094 25.922493 23.554810 23.328498 43.423625 39.999169 18.360270 35.180684 29.065739 27.180882 25.499830 23.602526 24.787826 20.15262 22.500752 10.37516 26.677011 16.008361 36.160665 24.992578 27.457162 22.748296 21.2387328 22.416538 16.177005 37.025939 18.908993 22.889236 27.5708745 22.462327 37.059913 35.046821 30.3659412 17.746839 49.652791 20.878093 18.656158 24.254015 36.103836 16.898274 28.398573 38.511456 27.731892 16.497176 28.167290 27.744727 30.700989 19.544923 20.551416 22.5660533 16.1611390 28.769084 41.292890 23.130983 29.296076 34.667534 43.109916 13.240666 12.899718 11.9973939 37.545508 39.639435 31.982059 38.191457
46697 34.365640 23.217810 17.720289 26.070937 30.886526 40.579743 32.146758 21.319840 32.411024 15.760213 42.478534 43.808943 30.315777 25.041184 29.31657 34.041340 35.12983 24.923977 22.255336 37.884257 23.555693 35.021881 35.247547 20.0374257 31.098024 46.798931 40.219021 33.222177 28.732345 26.0955658 36.422180 35.724042 51.565122 51.9328527 28.145351 32.121925 19.063089 34.200036 43.073267 30.677590 8.790282 46.493338 30.185957 32.449269 38.818242 39.527056 40.714094 35.117285 48.627523 29.863203 31.3257575 17.2179393 30.701591 26.490517 39.498658 31.230352 37.140430 25.924840 19.727801 31.549074 7.9504704 45.762394 44.756508 45.230111 28.414532
62969 27.722255 34.258102 34.425176 25.316757 22.992198 46.888085 47.905801 19.556028 31.615395 29.660711 42.986689 26.287133 42.270626 29.833900 32.24558 35.814075 55.11047 42.726308 21.847153 44.277248 26.780719 15.820791 26.813950 47.2199903 30.602697 34.091237 34.112278 35.507873 17.350529 31.8461710 30.250889 37.546360 40.420916 46.1998590 51.421758 38.680619 39.499551 55.700581 41.678730 44.106099 43.705946 25.176859 44.693996 25.625889 18.259647 30.168672 46.830708 30.393871 37.837656 31.757845 46.9999817 49.2878787 37.879090 34.202095 24.374883 36.746452 43.731435 53.744320 30.073043 45.978742 31.0610957 40.242193 39.000368 29.915589 34.789339
69477 27.036743 26.273199 19.585088 44.357737 36.205498 32.911808 21.750477 40.600000 27.606906 51.553926 41.095032 26.456727 44.430592 21.930457 45.65575 28.474346 29.03246 22.755350 54.948713 46.872048 42.856288 22.585007 22.786156 28.8430854 26.545143 35.079766 30.279385 8.994651 22.871397 49.9405305 30.818773 36.701344 25.055167 35.2846397 30.470765 38.576173 40.116844 26.509461 38.104500 24.988663 29.120107 41.327138 41.761756 17.888575 46.169475 38.686234 54.143304 20.026581 37.520145 34.721128 34.0585881 38.0500500 33.323387 33.576270 19.905254 32.008161 29.180777 43.308229 41.816456 35.346010 35.2450892 38.617681 33.009414 44.491774 46.645586
28933 37.297847 26.156120 31.826174 28.164524 20.826416 42.844208 28.464704 26.906155 33.934385 21.822488 36.570313 28.214166 25.821904 23.711376 19.01023 38.044804 25.12456 26.211074 26.164485 38.718609 23.749845 28.924197 29.825999 37.2027851 30.406939 39.909326 29.133305 38.763847 43.070203 19.7831660 15.557874 30.705391 38.399252 36.3770182 30.223419 31.944219 3.926978 26.439269 31.581502 41.183979 17.525682 13.168687 31.451020 31.408665 31.550910 28.289142 39.573108 37.332650 24.607898 21.455567 22.1714042 16.8515043 33.206518 26.054835 24.581931 38.758473 47.533236 29.112929 28.497192 21.336892 15.2654240 29.956327 35.553094 34.143226 24.758097
39944 24.375706 40.858353 35.444822 30.821957 25.120665 14.714103 23.443427 21.972726 33.814753 28.918761 24.314066 21.436305 28.764102 36.214615 38.51413 27.779079 34.62698 23.664659 22.436132 37.202443 36.862021 33.179502 33.466939 38.8426153 42.846150 24.139140 27.765127 25.607824 49.986415 31.6624276 27.876640 34.983359 41.656491 22.7991863 33.802423 27.596328 24.144074 46.777577 32.015513 27.852493 20.633896 20.422515 16.540975 26.501378 21.110703 28.828372 19.873610 39.559510 31.814681 24.201111 42.9649421 28.6294569 23.310049 18.352360 42.843726 37.433824 19.996858 30.159597 23.600168 33.742380 17.1278187 18.486014 36.840095 29.861290 24.742826
31622 19.228521 40.025121 19.774432 38.629482 26.146697 38.828009 21.988087 42.536206 27.023183 38.089803 35.225702 16.998596 30.357817 38.654846 35.07394 47.955453 34.54893 37.576694 44.249783 27.327385 38.368327 22.240769 30.742582 36.6176940 36.570382 18.993723 35.086885 31.755505 28.326141 39.2291488 19.216780 31.085328 29.447104 41.7066885 28.088524 30.132121 35.461454 39.377337 18.191284 6.918907 31.515001 24.744224 13.621412 44.554516 26.421970 43.704038 28.458163 27.424847 38.835007 27.489045 32.6299375 25.3911431 30.399229 21.238785 36.002601 28.276866 28.142719 27.321441 33.664687 28.594509 32.1345244 31.579554 33.567043 33.581848 48.114148
56897 22.665378 28.677185 40.311266 24.470115 26.367437 20.821861 29.294957 18.540055 26.429229 16.835377 7.419180 23.129497 23.144300 39.556094 23.13681 34.340610 36.03849 19.437670 14.397036 18.744947 26.717477 43.117476 30.961965 24.5735626 37.381861 31.008276 31.511715 24.746513 29.204452 26.1287014 36.013888 22.493516 15.141343 10.2270042 27.069064 16.914994 25.126599 41.581261 14.000857 38.990906 26.817819 47.375673 10.226901 29.785087 27.366000 24.349683 5.974861 25.630184 29.875311 28.231395 31.5846605 11.4018131 33.380756 26.754829 31.357477 29.419895 15.188667 11.082996 20.776233 18.797027 20.2205292 28.592381 17.366730 11.556586 24.652839
92093 36.521617 25.183743 8.607698 46.929732 22.993391 35.810809 18.795973 35.046381 23.162042 43.862293 46.109047 29.396119 26.042601 23.089596 39.94090 27.700958 41.52423 37.368213 34.677022 29.658005 28.295909 15.325716 11.732119 13.2756037 34.939641 30.102973 25.986722 30.306285 15.717051 29.2802174 37.514770 22.348713 26.125057 35.5288057 23.113545 39.885027 43.107663 30.547898 41.983873 34.217086 37.642521 23.797161 35.652985 18.372629 38.278904 47.378731 32.889685 18.260939 34.138231 41.027850 37.1798599 32.0537227 29.679576 32.983842 35.853647 28.801225 35.825544 27.887386 44.893930 22.020396 29.3289549 37.930352 22.672771 46.279790 46.188074
26727 13.383876 30.453696 32.315383 33.615845 21.561889 17.302597 11.891883 24.684523 16.427293 23.526322 22.973355 44.403119 29.800978 34.939692 18.33231 29.680413 38.14888 23.956438 44.328604 27.393397 17.401221 21.493185 23.132821 27.6632366 24.402126 34.038599 30.758798 20.494410 28.152691 26.6678970 31.605070 25.792759 18.816900 42.3497673 40.456044 20.844493 31.687763 27.564214 42.266862 12.403458 28.059446 24.762347 31.358983 29.841329 25.521374 30.645664 27.165295 25.001132 24.234683 11.731628 26.4572764 42.8938970 28.483560 35.159071 29.637758 27.476979 33.713511 35.867483 18.614602 30.815155 25.1377853 30.215776 35.631426 30.635079 25.030463
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63820 33.173314 6.752331 34.556562 33.747264 20.359150 50.365603 35.910410 46.668039 26.327852 37.637562 35.854369 25.063993 42.547847 17.934318 39.83595 33.904904 16.47571 30.668202 33.623618 28.860785 19.561972 30.192652 48.106356 19.9668613 16.698569 37.447706 19.595086 28.972980 25.768220 41.4150201 29.334514 39.372070 44.381201 31.5389858 21.974750 43.174025 39.429499 17.535735 25.142233 25.973333 35.752485 29.410019 41.935003 38.725547 32.827393 32.460181 40.079983 28.075180 14.359062 61.486651 28.8067334 39.6348681 37.598769 12.628233 25.181383 24.339620 27.141028 32.890561 24.404244 30.786803 31.3230157 26.043967 27.967444 30.340372 39.693519
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92733 23.842160 54.086836 25.844013 28.766816 49.193848 24.448289 31.287603 51.754247 39.669452 41.221091 26.345877 23.694833 30.284693 36.547194 37.54868 7.872859 42.46658 38.593903 25.654929 21.451075 49.400039 28.465982 11.605342 45.4973722 53.734782 26.943637 32.827018 6.661229 7.751188 37.6810958 42.095453 2.403059 52.923573 35.6658963 38.501305 10.817464 35.649876 33.712323 13.220228 17.229421 42.091743 34.364986 37.579646 13.050463 24.635433 22.347126 14.438909 22.797366 35.592596 58.311491 50.7292648 45.6519701 30.961457 46.304499 38.350475 41.778936 28.419522 40.021811 39.413983 43.955074 38.2542944 27.558229 24.713332 34.075559 41.765856
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87034 47.311795 30.987193 27.867476 43.187089 32.597544 39.563903 12.842927 27.359986 25.560146 32.899180 54.645419 51.702636 25.259278 39.601729 24.82994 53.419881 31.46479 33.277369 24.798521 35.351324 44.125765 17.313156 32.564352 25.7672330 35.486715 38.924375 37.019152 32.171303 35.476054 21.8416263 33.510792 39.409658 40.603508 34.0420965 30.110124 46.130897 25.975758 38.273793 29.668193 39.190308 28.098840 28.086773 36.730888 32.935778 45.449708 34.567419 41.647079 38.017164 41.351655 33.324555 25.5686525 30.3214800 27.737061 36.213248 37.005383 37.909069 53.867906 41.907951 20.294396 36.631925 27.9831578 43.308993 33.351932 45.330364 25.326538
61164 39.003820 36.929693 45.103357 43.576281 41.554204 31.619977 33.998043 22.464760 42.873836 21.932812 30.004804 30.084201 25.266988 31.101927 32.72143 26.130436 48.11060 35.519365 17.613169 27.686037 35.271143 34.420727 22.830976 21.3362604 45.716291 38.071618 24.904394 46.929465 19.713325 36.7849349 32.932964 16.072033 27.929240 36.3841022 25.766703 42.941475 28.077905 32.274284 32.337694 38.354534 36.598297 20.780776 42.731482 46.954379 18.952236 24.795762 31.638695 31.855938 35.487206 28.097248 39.8368221 29.7082265 24.622173 37.880159 35.657345 32.134032 37.982095 30.310347 15.610802 41.995853 36.7197743 30.931422 34.499044 40.970548 18.611036
84789 23.464137 42.686373 30.482467 49.933824 46.356684 16.607774 34.975973 32.826413 32.922284 34.301103 19.425620 17.564474 25.440828 36.688914 32.06077 18.280174 40.96223 34.520630 28.513214 8.593701 33.937912 34.373033 39.507709 39.4903027 27.641839 31.148829 18.374725 24.726876 17.504018 34.6576020 35.706630 18.991019 8.387391 8.5280971 21.871498 5.415014 33.851219 34.093854 13.809601 34.016737 38.045630 34.899502 14.280564 44.257255 26.701978 18.543089 8.697687 16.543349 31.801149 36.380260 32.1146770 37.0724504 25.465690 37.466871 25.002600 34.032665 25.613978 16.351572 25.665743 21.654759 37.9922076 20.673148 42.482697 26.013263 38.872601
73958 42.994393 42.066113 36.793292 46.604260 43.648116 25.339531 17.421742 29.730571 25.034716 21.137593 38.243558 26.106788 37.488267 32.765998 31.94365 47.268710 36.47141 11.921174 21.435377 33.494611 43.308124 27.916331 20.237638 41.1050377 68.532338 32.886694 22.312610 19.673279 34.780668 29.0740164 42.906508 32.500457 61.670829 53.4712061 34.419177 48.247952 27.523884 42.418898 39.075546 21.844296 36.287840 33.181928 40.398661 28.818335 39.174837 44.898921 34.517846 30.980354 45.054763 23.790371 36.0523674 42.7439872 27.374732 51.182208 51.848493 30.704184 47.219946 45.352078 18.785096 41.426717 33.6253885 39.834362 38.690720 50.219472 25.457597
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29714 29.831304 34.264686 32.353666 2.608843 37.991960 23.497440 25.158217 11.643902 27.780088 29.287293 18.745548 30.704055 23.989949 29.530394 25.83836 19.564852 36.83710 33.571590 27.955494 16.291994 27.627215 36.834879 40.143538 31.7620088 32.348584 31.373815 37.296661 41.268370 30.618229 29.3950618 50.930766 37.982496 22.938776 25.6780212 31.091282 26.848559 33.922102 29.629886 24.291609 40.740075 18.105121 22.508814 22.174920 41.489972 28.653060 27.552907 18.510115 36.009159 35.364011 36.293509 27.3347696 16.9399668 21.177417 36.242693 45.238860 26.371811 25.540216 11.207223 26.736268 25.781430 10.5195570 18.565498 19.484558 17.662627 21.196196
35188 40.483807 41.428987 20.311263 29.453724 28.700773 40.797567 37.281824 29.560885 35.809846 16.855522 36.332692 36.196853 22.582313 28.739895 21.51283 42.729951 35.59451 35.626573 14.643047 19.082273 35.505024 43.049321 36.256383 42.5202734 18.072115 23.631930 42.619265 34.873139 40.302946 17.3682409 36.704587 33.251838 33.946504 34.1789896 37.065143 33.239470 27.152227 28.497485 27.601866 28.401634 17.553095 33.742868 32.327394 41.867415 33.955222 30.986775 38.205691 29.022495 32.929961 31.089308 45.1526209 27.9752497 38.894028 35.872217 36.314938 41.517358 19.379562 18.468547 32.579304 28.268075 15.5658140 29.238686 19.259449 48.609542 19.666444
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50088 32.392339 25.125628 59.587184 16.343496 33.922440 26.058742 36.358190 24.829429 42.241414 32.606799 32.923642 29.080453 29.046576 25.845219 30.85322 37.602861 31.07945 34.351052 38.619013 26.798776 31.145927 28.864924 35.375298 25.4174205 33.837580 28.993592 23.325650 43.702701 37.669318 16.2980545 32.574833 43.838328 23.814287 39.6275624 24.053918 14.297726 22.093297 15.271891 22.152531 44.625922 28.134061 43.512009 26.443725 32.120516 19.742266 24.029437 29.596556 18.430929 16.735549 17.235565 35.8376053 35.1968742 30.757052 27.372680 19.242995 26.163314 31.249126 14.336759 20.653566 30.214274 29.2240293 27.679601 31.828901 29.319560 22.839884
85995 41.877212 32.446264 41.227562 51.535468 44.345644 26.335268 30.875356 31.289090 39.495536 21.394272 26.322086 30.719698 31.359720 19.818794 35.76667 43.376017 37.53771 36.132644 29.151779 31.101592 35.414000 22.006695 28.687990 31.8481070 27.775655 37.718419 45.459824 23.160432 25.984393 34.3092386 27.628923 29.523764 32.388877 33.0030805 41.004705 29.008559 27.653240 35.418159 20.877626 23.220531 39.360014 39.983507 13.371493 20.859647 34.942346 23.539779 29.879799 32.772334 36.178394 33.495126 22.3936616 31.7459084 32.831193 43.140341 38.344744 32.943500 35.792804 32.674272 47.325544 26.921380 41.0085468 33.995353 33.590583 24.748606 32.156588
66694 26.910840 34.029751 13.356958 24.105472 27.552406 17.569059 27.180161 32.417755 23.468099 33.417277 35.604362 34.834225 30.824564 44.124844 35.15837 26.252804 28.83513 22.735270 36.985268 29.540869 27.147292 25.773054 16.097712 36.1463353 47.159168 25.575275 18.496682 15.393058 38.425668 29.0427377 35.524371 33.553664 28.069026 19.1084948 34.619245 26.627881 36.658511 35.483210 32.716353 27.774455 18.919298 19.954451 23.575924 27.852698 36.791734 20.519971 26.357371 30.205363 28.938187 48.075241 23.3256349 41.2030702 22.959671 36.365382 30.059633 8.675811 20.523267 35.739410 39.409739 18.131454 19.5905813 35.282980 30.916988 27.207285 32.028940
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54787 29.212622 33.083288 17.792551 34.176038 18.853959 34.300427 29.998474 22.452856 18.317361 37.272557 36.413343 27.587110 35.002698 27.083902 38.36771 27.201380 33.86303 36.054039 38.922550 39.572908 35.471841 18.153306 27.729155 24.0837728 28.154820 23.135912 35.323928 26.805978 19.044902 32.3923189 22.125468 28.765349 47.250499 43.6365363 24.524184 29.317090 33.905657 27.851623 24.410878 21.363269 8.156849 39.688953 35.378811 34.519962 23.654629 17.593265 29.296601 33.939690 40.542535 33.537712 32.5131626 30.0724668 36.050426 32.709265 33.344396 36.071968 27.669606 23.903291 25.201163 37.260828 3.1311357 33.749565 22.117875 17.139675 31.819511
91731 30.863069 17.427735 25.882625 50.514695 29.893741 30.493511 32.005831 26.217317 27.049508 38.439657 24.377912 23.550165 33.844597 29.870537 31.48524 28.188658 24.60255 34.087914 36.313769 20.432335 26.938168 24.651770 40.171454 37.4667126 39.013556 9.705537 33.799347 28.539258 19.048151 34.3651624 39.938152 24.336287 20.853457 31.2185744 55.272729 29.227626 30.173641 35.434184 24.842659 24.483113 25.736959 18.126778 30.254179 15.105245 21.185044 23.508685 23.564498 18.420694 30.034704 28.348105 40.7302863 37.9447280 26.471980 45.671084 32.321073 32.941284 37.791499 38.139528 30.070751 37.462926 29.9980995 38.329305 39.234693 37.152831 41.225960
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53203 37.319065 33.946419 24.127445 39.519785 32.266304 39.621162 28.758452 33.567208 31.815026 23.608940 38.642641 23.676340 29.814234 34.875010 14.33130 33.058689 57.73939 25.677882 24.088820 19.529475 29.522732 23.204518 25.082850 31.0096511 34.738397 19.419047 10.555824 25.368603 14.956972 23.8323380 27.898099 24.466491 21.235716 28.7083423 30.537140 15.545968 37.302239 47.006567 23.138075 38.122561 29.766248 10.275185 20.775035 32.524430 15.476649 33.305734 26.460810 16.662611 15.414282 27.288776 34.6674411 38.8040162 25.304999 29.998078 40.436203 33.847707 41.360860 25.989983 30.257035 31.269330 25.5844421 22.721749 23.829589 25.451106 37.710698
92613 35.894596 20.866044 37.423351 33.968641 17.658620 41.100405 36.759705 35.248928 41.534252 16.836441 25.698976 35.718379 37.818258 40.176338 40.18058 30.364388 26.37784 27.900806 16.871285 43.679267 9.146873 31.911002 35.111742 29.5016736 19.938546 23.509544 29.275430 27.440641 31.891311 28.8444788 25.966025 29.155946 20.447982 27.5842712 13.882527 47.348000 27.330005 11.875722 32.361417 24.837909 39.104398 33.437927 44.266584 44.191869 26.257248 38.937781 44.012611 35.182048 12.331721 41.845690 26.7502343 26.6738317 39.486200 32.586104 19.485345 31.674507 36.453830 41.140369 28.386972 12.999066 44.4054537 39.985485 36.681077 37.471732 29.127608
31239 35.414477 31.163911 23.428270 28.486783 34.392288 30.493328 34.384040 31.113162 28.470036 29.252484 20.633637 40.664405 32.420194 46.745582 28.49596 27.310661 48.57532 37.756769 46.949370 30.288111 35.446086 36.032304 34.501329 41.8535812 23.243467 27.695145 36.217513 42.269277 36.414081 30.3148262 33.024678 44.221745 32.229157 31.2362722 34.019351 24.466586 36.819629 32.764357 27.457003 29.879977 24.805354 35.919446 19.580242 30.417914 41.629552 14.080013 13.349538 29.610251 36.798317 35.476914 34.4806240 34.8472813 21.518394 42.395939 33.107764 24.700778 31.466203 42.902610 37.353169 37.258294 32.5530164 26.439941 30.178753 29.950460 16.660123
58267 29.981975 34.727350 25.662031 20.229904 33.132990 33.836694 43.399153 26.107395 41.700976 22.236826 31.018222 23.603696 16.407059 28.433300 19.12581 26.349936 40.13115 21.352469 16.307302 28.557631 39.664230 36.501412 29.062596 38.8421864 47.784256 43.344753 36.815355 40.805403 43.605181 20.1482017 38.749505 27.980877 21.495623 19.0467616 22.166262 21.815392 19.688880 40.452504 21.675441 30.952429 17.001638 22.613279 27.768988 35.745880 39.051936 21.059523 20.096075 32.146942 54.273817 23.471334 46.2555032 24.0144086 38.169435 47.922981 39.611233 46.727710 20.932799 22.599069 29.149183 23.030967 27.7049602 10.516473 16.932374 32.962286 30.101245
81459 13.987517 31.290770 42.110370 41.094066 30.919840 25.958657 26.438541 41.380574 22.801886 27.772787 30.889625 25.125393 45.843518 38.770680 29.07153 32.242335 33.03637 38.730241 30.641823 25.479015 16.491939 31.062666 40.522378 42.3121544 28.757724 26.250835 32.682540 38.028592 30.958567 27.8599463 27.642470 36.842642 38.796893 38.2201476 27.444924 38.163765 33.114671 27.617989 26.741434 28.300547 20.110440 46.388716 23.758670 26.192340 16.661543 9.338705 33.463139 14.846102 29.953009 30.907299 40.7076666 36.7199876 20.903309 27.368515 43.186586 43.211056 38.487571 37.836875 30.152780 29.959731 22.0117891 33.368710 32.515971 31.382280 40.031464
47350 39.256413 31.072152 19.974138 38.192570 18.902097 28.105683 44.433901 42.132542 37.008732 27.660981 46.132213 25.752751 31.195097 44.109644 20.13809 45.358811 30.99269 21.835710 25.567530 31.360751 13.030928 49.405876 50.750137 13.7896340 34.964872 26.129567 10.058135 33.183194 28.583902 41.6367115 29.967300 12.774813 44.611863 28.2911534 19.430939 24.231230 35.668521 9.180423 37.371802 27.971892 23.425129 42.085067 37.512886 34.537593 13.063298 21.977954 25.778557 16.771167 17.819554 30.864734 17.1975297 33.7021228 28.193430 32.454770 39.957952 22.459627 34.803399 32.618249 48.950752 24.571210 16.6875185 9.619190 40.919502 36.123119 41.611078
61227 24.686802 25.740495 35.722645 34.461742 30.601709 37.488208 43.895787 29.743120 51.797903 26.301376 35.838921 31.884251 29.635650 41.175768 26.51204 37.254442 45.00582 31.611754 34.854783 40.495224 16.162679 20.602529 24.449255 26.7172809 24.329324 24.359733 25.985984 28.258321 26.286836 28.8664536 33.206915 38.003358 32.646849 44.7564914 24.499127 42.449394 29.518983 20.756147 41.488202 26.297974 34.419580 20.514664 46.000776 26.827071 23.595260 34.467450 36.873474 15.158199 19.644284 36.013962 27.7917581 49.9987966 31.188869 22.169100 32.018218 20.652494 48.726654 36.220394 26.312694 30.330610 31.7405437 29.552540 42.750841 46.088155 47.380620
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52142 22.050448 22.002958 34.167147 30.068682 30.649872 39.195126 21.645108 30.475606 34.143413 29.569010 39.171779 37.118408 26.022168 42.726893 11.13942 32.723528 17.98904 16.012192 31.928226 31.444458 16.063555 19.628372 37.768210 18.0762117 27.368473 20.613828 19.453159 34.851088 28.918175 41.5867794 24.941215 34.731506 26.643485 28.5602911 20.428137 39.762871 15.496947 15.889330 22.610376 33.421010 28.163482 49.946103 41.830221 47.413586 38.991102 21.241016 24.752075 41.582812 24.881314 24.959879 21.9429981 35.0427734 29.241086 30.188057 27.512998 22.715448 30.781040 36.675518 18.173512 37.601224 31.3803033 35.661295 35.849263 34.631735 17.088966
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79920 21.484726 21.879157 28.456463 38.551219 28.879648 35.323038 40.314686 35.605260 46.293555 34.390878 35.591625 23.353573 20.952579 25.507227 27.22623 28.251177 41.59353 21.548709 32.571251 36.661370 32.329347 33.674704 22.152327 29.8341798 22.207562 32.559704 21.920267 23.278282 24.584568 45.0701060 26.254213 17.601203 44.388028 35.2037186 15.658802 30.086621 50.416976 34.826087 40.896846 27.406571 22.976364 25.782213 30.611854 39.147489 33.277150 41.317538 36.647189 25.013229 26.504721 37.859393 25.3978821 17.2391783 28.823279 16.982932 24.696485 28.988833 29.622272 41.915673 45.498767 23.323007 29.2117622 49.805133 30.089386 10.896016 23.906036
74865 29.525064 31.295221 20.742556 28.676472 41.774171 41.760812 17.457676 30.810963 26.081202 37.955487 11.969565 33.097403 39.524423 25.140658 23.10837 37.427325 39.04554 31.469278 41.260274 40.204031 45.988068 16.184691 30.021648 43.0908027 32.236849 13.327200 42.126129 23.771628 29.503728 22.3665189 51.365576 34.072745 24.344087 36.6618446 41.772391 23.114405 31.999100 30.518909 26.127699 21.114961 23.620030 37.247522 39.735410 29.060655 23.968650 30.296632 28.993802 26.206638 28.596558 12.465092 40.5890591 35.9845877 13.913202 37.225488 28.638585 21.936266 30.119571 32.536753 32.856003 36.494933 33.1892322 29.829883 25.930046 42.693648 31.021342
63087 35.597166 22.218347 58.645038 26.688068 29.259610 47.945655 41.620446 27.781997 33.785699 33.684153 38.202141 28.048507 29.642996 29.098631 29.20276 23.206635 31.19509 30.330425 47.508749 36.766021 39.816552 38.555543 44.793243 38.8022311 27.569475 49.342980 47.116078 42.705738 43.467943 33.6994677 10.810034 33.046033 34.004279 33.2293104 25.604711 23.422542 19.706507 36.646315 34.955880 40.739838 26.929318 38.847561 22.394996 34.304625 30.077842 48.134169 35.288059 35.767302 42.504326 41.348725 35.1662157 29.9437193 33.298256 49.956786 44.308472 40.241844 36.489057 26.117380 32.911044 26.799944 33.8844904 32.247687 40.242894 28.055275 40.635140
91649 49.321584 24.719204 44.569076 26.173166 35.153456 38.974585 29.381774 29.928466 39.802701 35.436515 44.191735 13.722157 38.234529 38.891880 37.82990 48.877431 22.68404 16.945336 35.514585 41.716149 29.684563 25.520174 20.845878 20.9621720 27.108462 25.948786 36.942707 27.815355 39.011153 32.4629927 26.891956 13.410641 38.331417 51.8945850 23.551096 31.507438 20.034005 50.978080 45.142629 23.418733 22.127061 30.134868 49.276608 21.445142 31.854755 28.514523 29.525220 31.328867 34.463819 23.203972 24.4024142 36.5475953 29.217145 29.387024 43.457245 32.724888 44.682325 39.436446 33.203270 32.598000 15.2930168 51.619819 34.280199 28.600691 34.496510
81523 24.428261 33.565850 43.739490 2.753591 24.544208 20.517421 20.531445 31.358782 36.887913 24.898429 30.687403 25.618476 24.277268 30.913158 15.37570 26.683580 28.84327 25.842723 29.164667 23.892630 15.737801 39.287713 29.236452 30.0634442 27.165091 20.611102 8.056224 32.503379 17.570967 18.3667177 10.477583 22.089606 3.284102 31.9377609 31.435115 44.470068 20.356354 23.663108 30.120361 44.836390 46.553516 33.197230 20.436353 24.076321 40.453288 22.407725 48.488481 33.655230 27.489802 28.167249 26.7501583 21.8760596 29.859304 23.446993 19.438414 29.702865 37.410789 20.970131 29.308004 33.847181 48.6315964 20.315694 23.087421 28.331679 31.591652
88918 44.994444 31.762545 29.156162 16.738507 24.100871 44.186207 30.962649 33.141925 32.705463 2.874215 46.220383 28.579680 33.048481 23.330357 42.27595 30.422381 34.89453 22.299906 34.761801 30.626876 29.736770 38.882452 42.981546 31.8453949 23.402845 46.943375 44.812191 25.465843 46.414961 35.2579759 36.735506 40.968772 33.218168 33.8036361 18.776889 42.238315 33.551142 34.391414 40.861751 30.455555 40.038431 34.683146 27.210786 27.446101 47.755582 41.637905 40.977435 38.951498 30.572434 32.021664 27.9098255 11.8222141 36.402630 42.859447 27.481815 26.229506 40.030710 40.035204 18.732422 44.101725 43.8670115 25.867294 35.706921 33.598092 28.212406
43043 29.266174 32.631980 23.091654 5.648390 30.854220 36.417479 11.946219 35.513186 34.959763 16.841842 31.618905 31.757260 18.884871 5.130756 27.82876 34.245663 43.92939 21.694997 25.614349 24.736903 42.311117 16.855972 33.376900 37.5049456 43.487043 34.223057 27.705558 22.126070 24.058343 13.4961689 38.934064 46.031738 35.416970 34.0125187 29.360383 23.480509 27.591276 35.645561 25.029819 22.406567 35.409288 20.388743 22.333263 21.951765 35.389720 36.028992 45.008594 36.439789 38.289628 30.213930 23.4413529 13.2418257 28.916838 29.998208 45.011323 28.945819 28.682684 25.229447 37.083624 25.223651 23.1197726 26.329751 21.697765 32.635611 26.430849
72524 34.622069 12.335373 36.439191 26.578069 23.403554 38.504257 35.358321 35.279929 44.076777 33.105627 23.617826 17.429656 36.419630 43.904685 35.60160 34.875643 28.48901 21.547921 31.921926 39.149572 16.595508 40.658897 35.050413 12.0502090 39.226045 18.052968 15.700931 32.798511 24.548808 9.2935791 18.780693 21.048993 35.831915 14.2928895 39.225094 43.232120 31.021623 21.637932 43.089702 37.081220 31.540265 21.859387 20.938822 31.397650 33.871850 31.041225 23.540824 27.008909 36.038225 25.938092 19.2419912 31.5130423 35.264634 28.540765 16.761216 45.091261 27.380443 48.008572 26.967558 36.050699 25.8518530 31.308792 37.269981 33.469023 29.304089
32850 44.133261 17.014290 23.076790 38.697790 43.445668 36.675758 28.178636 35.120069 25.337761 24.511366 39.240083 44.970278 21.722823 28.121239 31.74313 25.023773 36.30646 26.378901 21.871158 33.347800 24.383476 18.984716 29.736577 37.3156626 38.747110 39.787317 37.782547 34.851490 50.143656 15.8672430 24.685869 31.573648 43.370599 38.6264796 31.966268 35.232710 26.612117 29.094608 31.788187 20.237271 14.322459 24.105843 38.610708 21.777274 28.634626 37.309119 33.854033 47.517499 21.688973 31.748842 38.4428137 25.7645575 22.091371 32.773150 26.762367 21.747108 28.854376 34.653691 34.883231 31.115115 14.9473976 35.533729 35.788183 40.846218 34.428369
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74936 30.221651 27.226455 24.500206 24.300767 22.310642 32.556925 22.886546 28.652841 27.550701 34.650230 46.509777 33.064800 26.306947 40.985730 22.65938 42.562294 42.93248 30.013792 41.142750 26.787821 35.753089 24.288052 41.309108 26.7595208 21.938912 27.605294 14.970918 24.329153 26.161521 28.7720584 31.535417 23.185549 27.411395 23.3524752 32.373082 30.151824 13.860655 30.306697 31.416840 27.045848 31.611937 42.482968 29.293339 43.492534 26.420807 33.740634 35.739383 17.302054 31.841566 13.665337 17.9305302 27.7075146 31.595367 28.109847 15.476301 26.973342 31.376330 37.559341 27.392930 38.548856 27.4706059 36.710218 28.810137 28.834528 26.534917
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41489 28.678912 25.050264 31.168411 39.061867 26.090379 44.286766 28.600875 35.288469 32.446734 22.275604 26.245120 38.910125 17.156493 17.930651 13.13006 22.864760 31.43401 38.144245 16.985395 15.112858 23.115720 32.634332 5.068113 39.8399740 35.331405 43.511707 37.677615 23.458523 28.966491 21.9350645 46.367120 32.712359 7.656136 27.0076230 34.344711 39.180057 23.943588 34.767798 24.957172 27.392363 26.750984 28.794465 23.892982 22.888935 36.803796 18.165516 33.364035 35.441634 30.251009 34.781167 22.6818609 30.6974568 38.815843 27.761177 21.946184 36.291648 25.853885 18.755710 38.156897 43.583478 20.4572777 21.995438 26.700096 32.911201 42.466178
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92124 37.630399 7.616744 32.810964 20.606780 19.950184 47.429316 25.720261 26.275642 42.607725 36.218988 44.439937 19.744519 26.920417 36.914075 48.09698 50.425704 22.04227 20.962995 25.949315 36.036716 33.971026 20.073724 53.575897 22.7010574 27.079956 26.473305 19.168844 38.772779 27.664821 21.0120445 33.159092 19.400448 33.156619 30.3354790 24.411896 20.805898 37.892862 19.452519 40.960330 33.125779 39.102714 37.319364 26.927534 26.765011 28.186360 34.754928 31.141322 31.978714 17.870625 25.075463 23.2123892 24.0478023 34.647028 3.341663 29.165942 27.631584 51.474282 28.577945 31.369722 14.821161 31.6703718 34.292811 31.589033 27.464690 13.848060
50377 24.998487 21.024208 27.587522 23.845012 34.216119 16.693312 31.884688 23.445942 24.081179 23.093614 20.815040 41.196995 31.219641 24.191570 27.20677 40.702117 25.03817 19.409712 41.379187 19.240605 23.049786 44.116115 21.540968 30.2217975 26.271370 31.881638 36.870441 42.583397 37.991575 30.8764097 12.721927 41.276123 25.189932 37.3916825 38.370772 38.773979 29.554489 27.385323 30.829457 28.461015 28.900982 24.753477 21.964091 29.959108 38.028397 33.871722 27.206581 54.813126 22.030409 39.351710 12.5848302 42.1443767 38.216740 3.574616 21.672230 28.577535 33.725793 30.096887 26.840428 16.854674 29.2426390 17.805844 28.105057 36.776377 35.956672
39175 38.319407 32.696974 27.052709 23.386555 32.815364 23.347956 35.604741 25.699038 34.675189 19.190383 24.954318 16.643773 15.100014 30.154780 20.82372 21.477064 27.28302 20.176125 12.084586 33.819239 34.086164 28.412405 45.729866 30.9554722 32.459866 33.028417 56.768738 56.934900 29.811532 20.1306683 20.433915 40.610206 24.107018 35.2158929 32.309960 27.995530 22.079910 43.593503 27.421987 32.782260 29.170736 29.214080 25.240820 20.813542 38.327461 38.490949 33.384779 31.918803 32.525489 19.847792 22.9599726 12.9570209 37.882655 28.891637 24.218347 30.147575 27.233100 28.859320 26.815610 26.740790 33.4589551 28.508993 34.644001 32.959862 24.826379
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41414 23.652472 39.491503 46.546900 37.529554 39.693348 35.594942 40.692032 24.805848 44.411155 42.350617 37.030210 24.341743 20.844174 38.547234 21.84600 41.740203 32.99011 27.929769 31.674518 25.837012 32.391941 44.784426 44.063373 37.5239539 29.799258 32.532944 35.931925 41.407797 25.137893 27.5003012 30.789462 51.199376 30.825670 26.9273593 10.469037 25.833713 39.799003 30.527296 34.619283 35.587627 14.164378 39.996057 39.259612 37.285998 36.861044 30.619770 23.011962 21.257054 36.376284 26.047601 38.1973005 30.0807514 42.035552 35.365574 16.939646 32.237430 28.791920 20.165024 25.541742 31.936731 15.9524205 36.552131 41.720731 18.207846 33.061191
27859 34.336703 37.273294 25.151628 28.122813 23.784461 30.187672 43.718512 38.263057 38.089322 24.468400 19.037920 37.999013 28.569799 16.209131 24.50369 25.707580 35.06936 36.817886 50.100097 20.004987 27.250476 32.043193 35.838712 33.1040397 24.354488 37.925100 39.097414 40.916969 45.203625 40.4233586 17.086483 44.386096 23.800869 39.2415731 19.916403 26.770364 28.296065 33.606780 11.978688 40.365108 30.545010 39.880705 29.823905 26.597178 48.118338 27.397093 36.299245 35.447223 25.622282 45.184274 17.5229611 36.5369535 52.294081 36.731934 26.195497 31.403854 18.650371 30.328702 47.880245 29.395186 32.3822384 31.234302 28.735963 28.277450 34.256104
27831 27.260559 32.241270 23.474782 28.023062 26.202272 39.553832 20.987691 49.404307 31.164847 23.084112 31.649817 21.808472 23.098207 27.707645 33.16717 33.044289 19.53659 18.714396 31.186020 25.974292 25.025958 32.766565 29.981442 26.9590745 24.251950 32.670396 21.085425 43.944533 20.848885 23.6919150 25.532943 31.909152 29.196011 37.7691858 6.775558 39.741964 30.415874 26.631878 33.677585 23.867698 26.826057 31.500555 31.516240 21.932192 21.290550 38.030753 51.041438 33.640522 19.100435 35.002132 34.0274665 21.7593558 30.104443 18.854888 12.628264 17.147506 32.019957 48.079635 32.100338 21.894022 37.4100752 34.112005 41.446190 41.502617 26.195747
85062 29.421863 39.678396 29.427716 26.276194 25.226424 27.523363 14.346151 22.927294 13.141265 25.294514 24.157342 32.857496 17.864062 36.894794 29.73120 21.095048 25.31294 25.151586 36.437836 23.473911 30.276801 18.477646 33.469361 18.1749230 26.286666 36.314357 37.201828 37.366700 11.473372 42.3249729 10.785737 32.595265 18.021417 22.9201352 22.665871 29.950438 26.229711 38.494357 16.449670 38.053132 41.243341 16.984476 16.631092 28.304179 42.566946 35.409921 22.367816 40.190306 31.417836 23.596997 28.9044344 20.9037033 37.007850 34.928675 29.048117 23.527534 27.226442 35.115329 29.919530 33.670833 49.9593376 40.372092 35.235731 41.235335 27.495120
83382 49.012020 23.967335 18.054308 26.254880 26.194776 42.889811 27.419645 22.580042 18.690662 37.073179 33.014314 8.158597 37.108833 33.955627 26.36270 34.815806 41.84197 19.976880 24.028384 46.837549 42.598089 22.122982 34.135756 38.7811660 25.048306 25.756179 26.880977 22.363576 30.472912 34.6156782 33.524642 31.786216 47.234831 34.7151127 25.218462 34.112047 28.081844 27.416651 34.894026 36.533317 37.637639 39.301361 48.771920 31.892002 13.849109 48.784969 33.449317 37.453578 27.216576 28.688189 25.9087835 22.8902169 23.743603 27.900805 32.648274 28.130613 40.598931 60.521115 36.976783 40.017904 32.9990534 32.060432 41.345835 46.374386 38.968866
31169 45.641778 38.096921 27.593341 26.364169 28.488318 37.443951 23.079751 29.187541 13.333301 24.682423 25.521769 22.626800 18.677838 21.303640 37.07629 36.695118 27.55296 22.697101 19.247630 44.112025 30.398200 16.020966 25.940813 31.3625405 19.174897 30.935709 28.125679 18.137374 25.483331 24.0132971 42.113046 30.922873 40.785427 18.1618647 37.074830 40.505207 16.652070 21.706716 41.749457 18.592981 31.229671 24.137878 31.463503 24.808817 28.509805 44.423519 49.512129 39.394866 44.618185 32.869034 1.3696894 21.2452452 34.224012 32.027011 24.944454 33.089342 57.298424 42.469247 35.007265 31.467148 33.4771461 41.858364 36.455767 38.184998 31.886407
82541 38.503855 37.181197 32.858571 12.063342 32.889466 14.037810 17.732312 38.558344 31.976543 19.398283 32.932418 29.522201 23.344136 27.110778 15.33871 18.633894 24.45192 22.512370 18.796027 25.062089 27.902852 10.737122 26.607785 29.4163974 22.196347 40.440644 54.705640 33.712475 36.629357 13.3005740 33.934768 35.276951 31.410183 34.8309519 34.838757 24.896687 38.902366 32.120059 22.603436 22.783595 40.855481 21.408605 28.639171 28.614232 35.695709 28.952322 31.092904 40.984910 28.546433 24.953078 27.8825653 26.3778373 33.608614 32.116890 38.567309 29.067231 24.297533 33.530064 27.327897 28.253234 40.4714408 19.185681 31.506393 26.072464 29.881946
26114 51.998317 26.017316 35.442194 36.444206 14.565318 20.680503 29.263285 27.570015 34.974436 28.529136 32.223542 36.720419 27.392308 26.036745 36.08522 41.459714 15.08455 25.150413 27.519514 50.723547 29.864420 46.537647 26.611841 25.8110298 23.667132 26.194002 42.189704 28.871721 41.426494 32.9187452 14.462149 44.595294 45.156277 54.0455841 19.212928 30.019408 47.885290 19.049081 44.161588 39.452776 22.273899 39.835381 37.656375 23.483704 44.709689 40.612702 46.938869 43.152839 17.718011 7.901998 22.8101388 26.4254995 38.821972 24.222431 18.763228 31.857084 33.452282 35.193194 40.602217 26.827314 24.4932561 22.813185 52.710382 36.083975 40.665915
28725 35.256708 22.763696 24.677674 22.711244 25.140601 33.646150 35.295529 16.805698 32.827716 25.530481 19.095902 35.561872 38.332066 41.030852 33.10698 36.509256 29.60835 15.429310 27.723031 30.032495 29.661619 26.613369 38.865862 34.0144883 18.699435 21.033951 42.725444 36.310849 14.362342 29.5767959 20.933400 21.109231 39.590108 23.3999712 36.725192 24.638942 19.037876 31.904914 30.696767 33.859605 24.875426 31.408316 26.967829 32.860126 24.096590 29.552360 29.138620 23.661878 33.845257 27.171672 38.5216014 20.0805148 33.359647 31.882867 16.152203 21.494279 42.441934 35.188483 15.896519 21.831551 22.7784040 41.602692 30.410739 19.123599 13.588012
79502 42.917746 30.155362 19.030946 38.612593 12.858863 29.368462 30.011694 18.732131 35.843038 25.897848 28.192154 27.027730 16.072610 23.667973 17.20144 20.939003 19.53510 31.472057 40.693754 24.345944 24.574132 23.634713 19.414271 35.1493563 25.238859 24.021729 35.924942 22.295985 25.874398 34.3248721 34.338641 25.129829 32.716735 30.6245522 35.398652 41.370141 33.155383 27.003798 29.219883 28.184332 22.884510 23.593722 39.870446 21.340884 31.121589 21.256984 40.456194 23.248620 25.549212 35.462187 19.6399474 25.4556921 15.139065 32.312757 19.831095 36.435982 21.624553 27.388445 31.223832 29.457436 33.0987866 22.806483 24.885749 35.353486 38.818122
53559 46.813677 48.929086 33.425277 23.813442 34.592452 22.772047 22.704377 13.896277 30.002834 17.626746 36.799746 39.253091 31.755722 29.106058 16.37126 42.115665 45.34072 31.266161 22.757057 30.712842 24.950001 33.971737 39.431996 27.3150707 19.546715 29.413785 44.118072 35.727243 38.123685 36.2734046 34.347721 29.655431 33.818757 33.7309773 22.686345 45.979537 18.799888 47.462002 40.857593 41.419476 39.044923 28.695294 37.142420 30.239612 28.211793 35.008846 36.127598 33.652420 40.536438 20.189667 37.4487644 17.8442004 32.223759 32.343487 35.036853 48.049102 25.582995 25.991947 21.933694 27.291895 39.3872506 38.248137 35.698545 35.997309 38.686462
55967 23.510220 35.851152 27.760132 39.401778 46.825286 31.557905 25.227607 25.761457 24.633124 31.741515 27.550109 20.674765 29.157900 16.783585 23.07275 26.707199 23.92843 30.857070 23.180069 25.752951 29.723767 33.946027 5.975574 23.4739934 35.733456 22.235040 27.505668 39.172710 36.307416 40.7843770 31.013500 35.401912 40.657899 36.5258898 40.159371 10.032562 24.278881 35.210182 22.839019 20.094025 41.360118 26.278527 30.995544 33.922595 41.014251 33.019071 27.622617 43.774314 39.412613 33.584777 25.2303379 33.3689937 19.064557 35.929687 12.222467 31.339149 34.262743 37.727705 38.037393 22.707320 42.7957265 26.448591 32.386635 39.984502 22.895858
34341 13.843435 34.368062 30.537693 10.802905 28.350869 20.298410 22.921571 19.217019 27.494466 40.186402 20.423880 17.040307 22.783548 42.202976 24.24978 26.201714 33.52215 15.313727 34.545019 25.237916 33.408704 23.277336 22.146227 41.2814934 21.239595 12.198227 13.712835 33.540521 19.473926 26.7787565 16.956887 25.557333 24.639686 20.9533367 29.351781 11.373186 22.847776 24.208585 27.743540 34.648683 27.808623 45.751276 28.130845 23.570543 22.637481 19.121756 23.996637 9.763990 32.079790 24.575797 12.4059223 24.4895244 18.889649 34.630668 28.473805 19.931850 21.124329 35.379285 24.944802 17.956812 33.2302042 33.926784 15.015668 34.939972 37.055642
63359 33.482428 23.232600 44.726443 24.111715 31.108006 45.853106 30.727653 25.773558 21.977430 20.697075 29.450943 41.805518 21.840008 21.611925 31.45355 30.391621 25.38084 30.545440 27.887968 30.191678 32.369542 25.284232 31.277738 27.1995246 25.819741 47.880512 32.501779 30.062004 40.278171 30.4582835 15.350197 45.369940 20.389187 24.6532135 29.224230 36.521120 22.046790 27.051204 31.285094 33.872671 25.801740 24.725502 20.047515 40.059883 32.632081 37.813111 45.294109 35.260796 26.427309 22.061035 26.5695883 27.1070986 20.809132 22.437962 35.026384 16.043819 19.120386 30.288003 30.855123 20.905683 16.6256704 39.993216 38.217107 44.292869 18.695701
27507 37.406905 48.959342 32.555590 31.564985 44.442925 15.503313 28.251757 25.430908 17.421282 30.058153 27.033610 37.446964 28.382384 32.652100 20.85835 13.874775 28.86786 29.594695 23.872789 34.906507 42.871938 39.738342 29.572470 32.6884014 41.145527 46.432112 36.784052 29.984319 33.962903 21.5786510 43.867307 19.019687 33.307009 29.5291280 24.195367 25.520285 45.482267 44.856135 26.064365 29.294252 28.439798 30.571229 30.281455 16.351273 41.007326 32.580806 20.094110 23.238374 36.381956 28.164600 27.5300012 22.5581702 23.603231 37.919576 33.180105 44.715388 21.160689 14.049216 27.732683 37.789335 26.9235391 33.942560 45.031779 25.017018 15.600095
56296 30.056801 18.004244 31.940874 31.546937 20.803685 44.984347 23.437979 19.831621 13.727318 46.601648 39.692751 26.057093 45.209272 28.752288 27.08401 50.412420 19.37222 13.768098 19.617187 30.418492 25.360146 27.749286 24.110426 23.4370137 19.922519 25.284686 26.160249 30.970175 36.177879 28.7087814 13.002211 32.737211 41.569165 33.2719898 19.142171 26.224457 29.877849 19.096103 53.715964 18.898966 15.641991 26.674189 44.735364 38.169045 29.701896 57.890536 36.877504 22.231222 20.970737 28.785524 27.1658413 36.8808621 27.878991 34.890407 23.597859 18.736919 38.584414 34.651571 36.735392 18.003467 16.2904233 31.749506 34.222090 42.336187 21.760614
71256 43.030583 23.850973 35.582553 20.056932 31.191499 58.049594 29.743964 42.547303 30.116380 21.154528 46.037050 10.667543 14.813461 35.729575 26.79904 41.957848 19.40015 25.091039 24.661249 35.384806 37.618216 39.203994 32.577329 17.9919579 28.292860 14.900661 29.184561 23.699528 23.262950 25.0427005 31.016379 14.899723 43.677990 43.5131259 31.091178 43.361453 14.148084 32.855744 43.245275 12.124246 46.044223 24.792644 47.429184 28.238653 20.127230 34.487462 59.062298 5.657355 12.428636 29.636541 22.9768765 23.2368182 46.904272 32.126549 32.244917 13.107648 56.982635 48.658749 39.685662 17.094715 45.4708415 38.243679 34.644122 37.348627 31.038156
52051 15.248024 32.597498 30.042526 23.610305 39.068496 12.102068 33.102924 18.436057 46.714144 19.576088 27.411046 20.207006 24.215210 33.179210 26.74760 20.756341 43.41812 30.658244 26.849310 21.528764 25.603363 34.890464 19.320243 13.9527782 31.319835 20.916650 34.289791 28.530029 39.741656 10.6202639 34.766266 20.840570 18.650823 10.1737109 37.274715 24.160587 26.352953 22.109774 27.770531 33.197548 24.217864 29.437875 22.430131 38.636800 37.586090 25.426329 22.185566 33.444480 22.518018 32.077073 27.1868310 34.1979723 34.370417 32.643462 36.656757 32.593946 30.611551 12.594925 6.150805 36.210606 24.4250883 25.912071 24.353463 34.224659 33.518118
51534 21.985474 38.103829 48.989902 30.570805 29.565918 33.220968 45.821032 37.644650 17.250781 20.836755 21.563312 38.974519 25.038278 32.112231 14.48467 23.635935 27.94541 22.778352 20.783051 30.143007 47.813609 30.740230 25.137136 20.5803404 24.198232 20.920226 31.567385 33.925685 45.567056 33.0283722 26.695878 36.114154 26.715692 35.7574005 36.808627 22.809242 30.851642 29.401938 22.672581 37.625478 34.977812 24.924574 23.727457 26.560056 44.678093 23.908950 29.905889 31.026512 51.427563 42.117258 33.8336460 35.3784684 33.572867 37.153470 32.447522 29.127248 32.290202 39.398073 28.162009 25.721515 37.7921387 33.139358 41.359353 25.720658 19.604180
53801 30.248648 41.036407 23.277141 15.951026 35.742036 32.493764 24.320183 13.402672 21.863399 25.324001 24.336191 30.796770 22.550272 13.600519 28.37036 35.565361 18.84771 43.899479 41.940754 18.686505 25.949779 17.636799 22.648505 19.6210628 30.889783 16.169380 14.808968 37.117814 31.142684 24.4226274 39.833424 23.996309 21.202632 9.3841992 35.098032 29.152969 10.907234 34.801563 20.223706 23.664283 18.799196 23.080399 7.317176 30.169704 18.692061 34.946850 22.591808 26.887874 16.102916 21.783138 30.6035421 23.9515744 32.980657 28.611002 11.085242 38.074130 23.144210 29.089262 30.859259 23.783157 13.1552554 12.073792 28.013099 30.843817 22.484843
58087 18.041025 42.990217 41.895839 11.364375 33.600833 19.675543 32.304509 35.745218 20.506115 26.140702 38.232455 31.755851 7.050419 38.171378 16.67868 21.338579 37.89382 19.936199 16.258611 44.913418 30.307117 27.789330 22.463892 21.8741521 45.451817 42.219717 29.148793 34.402571 32.762838 3.5163028 31.704138 38.515968 36.069987 11.0223668 39.993729 34.117077 18.135603 44.705658 21.723333 39.540334 21.508198 33.820169 23.042596 28.177170 34.197769 22.331220 23.443659 33.264091 36.563925 11.914555 39.8245805 21.0785318 35.928967 35.938010 43.419014 39.920129 31.930120 23.809856 14.849531 33.033768 26.5426274 26.830544 26.479510 19.476947 25.832344
79500 20.478155 32.277288 32.480455 26.526530 31.512083 39.393802 33.152843 39.035088 47.611329 28.020656 35.370942 45.868367 31.074404 42.125242 45.18797 29.235276 13.31417 21.106537 24.630486 29.468028 13.112584 32.001212 25.807879 31.5961226 38.946767 44.570122 15.338346 36.663879 24.473975 32.0393520 20.062700 33.562286 31.940829 27.9317152 29.136855 25.456447 24.862130 34.921614 42.710046 28.855027 17.871743 37.851794 28.274641 39.993797 29.974501 33.816063 33.889475 48.077973 17.225484 38.492412 40.2868517 34.3918662 35.430597 52.184831 43.538548 42.067533 43.789619 28.154869 25.331816 31.011993 23.0018693 33.282200 28.878844 33.141250 30.439063
43069 18.287229 29.063946 31.497083 20.288120 35.160955 33.295756 18.413919 23.721011 24.614746 16.849566 49.377780 26.180596 40.555672 27.954971 23.34654 38.608276 33.08382 25.097923 12.308791 32.267173 30.618105 34.678238 23.785488 34.1414533 23.226461 35.679284 37.112747 24.559036 19.236789 20.4681588 28.607148 37.102184 33.666495 36.7547318 27.678568 31.663482 27.268204 26.964535 22.712990 37.748063 55.037652 35.442213 39.780514 28.472089 25.576560 54.016634 36.413025 41.207661 29.727853 34.504239 19.1421801 19.8946720 22.462599 34.712489 29.110628 25.451511 39.932316 48.660565 21.145636 36.733614 51.6089664 22.424983 42.905807 40.044033 23.096722
74506 22.460745 23.499078 23.305750 39.767787 24.363158 30.188802 33.876028 46.312219 12.651684 37.390442 29.693198 28.482837 30.201325 39.536792 42.56704 22.681116 19.48448 46.509003 52.552442 15.023013 17.140063 21.093703 36.475652 22.8784168 25.309554 21.645871 36.560035 34.455301 37.479432 43.3994344 26.056883 30.834288 36.449151 27.0853620 13.885865 27.342701 39.757268 22.808897 23.661247 24.550676 31.252010 28.462545 29.902489 48.659291 19.674669 29.324754 26.176095 40.240862 19.251774 42.077234 12.6276417 37.9085168 36.617626 21.481045 14.005822 21.918188 37.592244 31.511342 29.974601 13.310919 32.6076099 17.935189 26.321741 11.138388 42.852096
36694 34.743353 10.513972 29.945134 32.835667 18.087817 27.968562 29.031286 26.690377 25.577067 27.328846 26.597904 53.235027 26.047543 49.287885 39.12070 32.896246 20.42567 21.989059 32.451458 17.521812 25.842511 31.577337 24.071580 17.7686590 20.339241 37.390737 32.104136 19.371942 18.379012 30.3351294 14.690055 52.362468 28.330326 29.5640708 30.372475 33.696855 30.299234 24.412355 33.558692 46.345669 28.492550 27.851092 35.724876 29.145446 36.840076 35.624315 40.048504 34.147742 17.937159 21.692111 20.9019942 22.6484928 40.260604 26.993694 14.938320 25.537245 36.008266 24.863460 24.710853 20.440958 23.8338686 32.765091 18.168800 28.608891 25.471005
44671 28.631421 23.531111 21.141422 37.304270 28.867477 42.211751 17.707123 42.695026 19.848733 27.062422 15.422633 30.482113 37.954359 15.955085 20.19464 26.262550 34.05957 27.291522 48.510281 30.251761 35.276330 29.256670 25.568413 33.9519922 30.306769 37.812174 15.703629 40.100554 34.920289 50.5042983 37.596066 33.661668 10.825905 27.3845423 22.764289 28.461862 24.584620 30.173216 39.198863 26.376430 25.076983 17.960793 24.185669 38.138655 26.933405 19.380924 27.047276 41.414819 19.896131 22.291525 29.5423310 41.0756986 7.879394 43.801644 25.099423 41.684462 21.117235 24.363584 40.929859 36.524487 18.7296810 14.348734 24.518714 17.259258 38.424020
28645 32.118512 40.152986 37.748109 40.560045 45.093281 35.728998 31.765203 49.748597 28.383336 44.194308 28.301340 17.780528 38.196216 33.046693 40.76483 44.400567 44.52034 43.765462 48.290784 38.668918 46.432757 53.568379 39.303018 35.7918873 33.464773 35.626613 29.674641 41.855974 28.146844 37.5262841 24.383400 33.157365 16.700455 39.9004943 32.984144 43.937677 46.588145 40.096359 35.906911 45.523242 28.930931 32.110443 45.880152 43.181118 26.207800 40.315531 47.446262 47.142435 24.571262 51.829404 28.3218100 45.2325864 26.228839 22.879433 37.327980 27.582523 38.840097 38.173628 32.823960 33.578405 31.3796526 36.974637 42.438304 43.643628 35.985019
73025 15.559144 25.559303 25.214893 10.878793 13.567701 11.198338 24.685443 26.070656 38.605174 30.942294 22.640865 26.797701 31.593117 21.627268 38.58525 22.057030 22.97168 27.838545 28.346899 20.003313 26.525194 17.315182 11.520959 22.2924195 18.834339 31.771756 52.962975 9.290169 19.515770 18.8228376 40.458665 35.353569 33.047164 16.7128062 24.105658 24.865546 34.513672 24.010676 37.259487 26.462252 28.276279 37.547261 20.733704 13.120040 32.699129 14.593880 34.253872 35.362086 24.151893 31.027468 28.8898846 25.9153080 20.890618 22.519894 31.401785 27.493076 21.388671 12.653832 35.688083 26.121491 31.0403906 26.399097 35.567288 29.611060 39.750462
92596 39.369611 21.191599 17.702082 27.545505 18.465859 34.311919 22.738736 35.182882 12.612692 42.715767 14.557398 52.322938 39.971449 21.167120 24.77349 20.455362 19.69425 33.636945 38.013509 36.256876 17.819419 16.287691 14.358640 23.8542534 19.533376 43.377426 22.283946 18.800117 39.533172 37.7108432 36.159197 50.657116 27.488181 40.2388390 13.498948 45.230098 35.626719 22.363126 18.406288 19.658327 42.093569 24.371512 26.893399 25.650244 47.957802 27.237045 26.459507 37.896451 18.604437 32.451830 29.1840315 33.0323084 24.867042 27.544822 12.771734 24.381619 33.116287 26.067718 44.395222 17.503678 39.1828538 30.216397 38.929366 18.780620 23.204369
49440 47.592005 27.239499 10.358509 33.510366 28.072899 33.410149 31.895185 31.637863 25.037077 24.962097 47.909912 25.962041 32.500675 20.090719 43.05471 45.460354 31.25827 26.617756 22.813129 38.103557 34.898222 35.936290 8.112803 23.3107994 36.749529 24.480149 36.775527 21.899818 21.391308 40.6093404 22.852118 36.076969 53.953871 33.9096123 34.556964 47.209185 40.308251 26.187391 38.394453 28.697843 41.450602 23.469604 38.676773 19.222080 26.150293 36.846613 40.343910 16.496230 28.163971 37.241423 47.6517151 31.8235207 20.055260 36.270407 36.340684 28.783229 50.757836 47.331902 32.711334 52.699154 42.3838275 32.683286 44.045419 48.418439 35.086407
67301 37.136206 44.411907 9.055689 25.901982 50.426618 37.328023 14.681972 16.320715 25.036519 16.821621 31.044024 44.629776 18.791017 17.746710 24.13037 23.596298 43.55149 24.984763 24.049156 35.790627 33.948683 5.313142 16.477825 20.1697763 44.514068 32.595726 41.930104 24.108071 44.146758 0.8717352 43.642893 36.001531 35.306284 37.0005844 36.858530 22.914618 23.627442 31.170685 40.811253 37.931149 25.482418 14.066166 30.101696 19.318656 30.629997 36.633985 26.068824 42.361805 41.251127 33.005341 44.9536952 14.3488019 21.280839 34.223318 26.761354 26.296354 30.321631 24.643857 17.861890 37.165097 27.5520971 26.227446 41.026413 38.848638 19.402127
79823 31.182794 42.195507 25.313050 26.544142 22.177286 38.606651 27.474083 26.065698 13.507050 22.070480 35.374526 37.842492 23.268529 6.903543 31.53236 33.167088 27.66212 11.250093 30.994778 41.836351 33.607815 18.947005 13.956319 21.8398600 38.635221 24.798599 21.758860 16.986873 24.941486 25.7928978 36.264639 20.607355 37.886142 42.6396394 23.459874 40.064459 36.677735 23.792032 44.176387 14.922586 33.788289 17.406838 30.683310 25.152263 28.605422 45.029448 54.126099 33.001165 21.028594 22.000732 35.8692609 27.9533415 19.562250 33.229261 26.216285 30.201029 34.146095 39.570878 23.724673 28.858356 31.0655043 31.992899 38.828805 37.751964 28.307361
39228 44.204919 25.237955 34.330695 32.912808 32.804909 37.796058 23.388084 27.424953 14.419296 30.216233 31.154212 28.788038 21.800995 29.762266 46.37470 24.673554 40.81188 30.910479 33.812789 38.132959 25.833923 21.639172 15.998879 24.5136277 30.233666 27.435132 25.153359 17.240430 25.651582 29.0473463 24.640555 22.400573 32.261913 31.8503798 36.274764 22.373292 34.943936 25.439763 34.435818 35.404825 46.002028 26.856677 43.098949 9.485391 20.155713 34.259468 37.460904 26.799550 26.278234 28.318725 37.1736726 24.3701581 16.602542 44.971931 22.160447 35.921308 30.991572 38.207989 8.597272 23.606886 32.3068128 35.994538 26.125278 36.263168 25.766706
80774 34.860171 35.961321 33.794436 29.701055 16.161518 19.090926 38.492206 34.101263 52.056007 31.896786 24.363568 21.484450 39.669580 30.385617 24.41208 43.516503 16.95084 24.934490 33.616017 36.536271 30.144079 36.182159 39.426285 43.5036879 37.475920 18.740241 1.097806 48.120550 23.446780 37.7775229 27.626653 15.991906 26.386952 20.3139682 19.706734 21.131888 41.983997 31.726747 28.841090 37.962720 50.763514 40.422031 10.102373 34.751778 31.255391 39.411375 29.845919 15.683134 19.886359 22.302229 41.7759963 27.5385701 45.420974 21.480362 16.370803 24.058966 38.447446 37.895303 33.408668 38.879258 48.1010237 26.259612 31.732025 41.763899 28.965940
24429 42.553033 35.577170 26.154832 18.958634 42.064993 45.290458 34.852027 19.978657 29.150136 27.692622 28.822526 20.451297 17.855789 29.731334 13.26094 13.678831 41.84462 35.427779 28.361395 13.819344 50.277365 23.315734 31.137217 35.9912923 32.113428 21.794540 30.093479 38.054640 26.285999 19.9478432 25.721463 17.797799 22.922652 35.4855811 36.512011 34.602814 25.133231 52.292368 24.569207 24.143422 35.699965 48.545818 23.538483 39.543292 27.928918 28.150406 32.413930 25.708663 43.849543 25.619551 35.8458527 38.9113498 39.098432 35.929912 30.732053 28.746942 26.886615 32.957749 6.991291 31.915647 36.9903421 28.124732 35.825827 27.586958 26.637331
33076 35.067335 37.278264 26.807831 39.070281 19.037626 34.697956 27.108276 39.158880 26.053809 37.268877 29.791181 43.741464 27.456055 29.996405 22.44319 25.245702 39.68397 36.553837 33.479596 27.531605 21.985100 30.395162 29.318328 43.4731907 34.473074 28.517359 25.486798 30.079739 28.584730 30.3813338 34.773626 39.426647 29.795611 33.1513162 25.245529 33.989382 27.105814 34.624469 28.530324 23.943280 32.683560 20.848766 35.248421 27.246520 30.314894 20.804265 37.339788 30.873789 34.812074 45.522698 35.0709470 30.0690975 15.066717 42.953771 25.232817 35.762870 34.563651 32.602125 24.128641 31.666530 31.5936880 28.210334 35.729066 29.415934 24.012232
80140 26.943616 44.733251 25.136482 23.063649 36.409965 42.873643 16.780054 18.796209 38.469994 29.579931 22.905738 41.728906 13.235198 29.010668 22.20629 30.471276 42.78440 26.402171 29.486422 39.823483 32.097235 34.698490 34.817329 40.5546721 27.538450 47.122783 39.004170 26.231577 42.245179 37.3706963 32.922535 25.790250 30.575351 23.5586407 36.239811 42.103025 22.766544 51.069513 36.110319 29.950150 27.982446 24.457108 24.121689 22.607949 42.111628 20.083687 22.617047 26.012068 33.307230 28.145243 31.2455604 31.4779670 35.764572 31.024848 41.464184 43.753856 36.250940 23.542515 39.892324 29.057433 34.9362445 30.126134 23.673414 29.583095 24.432556
55837 56.291057 28.321341 12.883891 11.589430 36.850943 51.446967 26.830115 15.033401 16.560443 9.836096 41.160809 20.895457 17.760908 26.864395 15.45144 29.204209 32.30257 32.319702 23.798899 24.670122 41.180502 22.128655 31.264407 41.5792394 31.491219 23.645733 13.554747 16.808993 18.703089 13.2562410 35.231930 24.348016 33.233338 38.2534018 40.229502 38.574321 21.871206 28.856715 32.620794 42.097403 37.688036 19.599601 36.483215 28.993967 26.787766 43.601447 32.355920 37.103776 34.909831 25.111639 30.8837289 24.7496077 24.395254 23.070857 27.885043 36.503811 44.802617 32.443060 29.584493 22.389538 41.4586385 32.233830 40.443857 41.962173 23.931231
56993 17.091827 27.970720 31.786935 44.045700 40.902280 18.067058 27.087843 48.932047 34.574560 41.054310 42.982010 27.970752 52.923210 32.800589 54.02447 16.278174 34.80411 45.798669 39.068758 23.487129 35.926384 42.401716 40.406259 17.2805777 25.508193 40.772740 39.104383 46.541871 31.405500 47.9415821 15.627425 19.097092 27.572787 25.6536835 22.559425 14.155772 47.311169 12.962581 27.100239 37.509522 46.395358 35.970954 37.688883 37.481774 27.752844 41.684043 14.176880 37.650722 36.646518 42.781470 17.2873482 59.5208967 38.458998 30.832080 27.350508 18.211928 42.324752 18.444692 42.482088 31.746776 34.8599546 15.455200 21.368745 26.918252 29.089910
37843 37.299534 19.545668 21.043538 29.278050 25.257687 30.719925 32.586043 33.020043 25.763652 39.648243 36.354152 47.630202 19.409346 27.236831 34.95811 33.857095 24.39212 46.805480 46.545086 36.554103 35.323586 34.343665 39.889068 30.4825710 36.772467 25.514042 38.677399 27.906136 31.340386 19.3111765 22.505028 29.964492 29.881463 29.3706689 28.711016 22.404849 17.323580 24.531277 29.862578 22.404873 17.847514 24.496217 28.732397 25.802227 27.039775 21.472203 17.722675 17.905194 37.146774 34.892389 23.0780352 29.2007006 27.410040 37.744996 34.777456 17.884580 26.746099 42.810977 33.692788 35.425597 18.4076258 21.728103 37.103715 31.535869 24.917603
54460 49.850366 27.031114 38.549359 22.720750 21.053714 54.168701 35.567073 26.819106 24.823631 28.320586 48.983832 40.625713 19.970865 20.165004 21.34387 25.911097 18.81699 24.526525 23.016154 47.389786 32.823322 34.924694 29.597962 39.8706264 32.827273 53.331985 34.870999 38.466024 40.877288 31.2085964 31.212360 51.356212 45.145682 49.9398269 32.110224 35.614024 34.250905 32.460858 42.563985 42.576014 22.699850 46.544124 39.693453 22.435602 49.678655 42.142705 37.060240 36.399948 28.771532 35.288142 25.3099020 22.5385738 34.798573 19.594097 30.165525 38.006087 54.893943 41.710678 31.476015 29.689787 9.4388904 38.328069 57.676979 49.854915 36.371973
88641 21.102250 18.013433 38.381162 27.519922 28.707818 54.460858 37.761415 11.356956 38.327185 27.249985 35.505003 28.743238 14.837592 40.986905 21.37655 44.910526 27.04519 26.473045 17.597863 26.504489 26.304299 31.079887 30.881751 23.8849323 25.531339 38.751641 30.055165 31.207869 25.430584 8.3887837 20.096488 26.955083 33.131952 26.5727279 26.638254 25.963741 31.811469 25.719997 24.983812 31.062545 21.224612 42.352725 37.417163 45.844733 36.195249 37.016000 34.689552 39.995062 10.302186 26.443261 18.7050827 33.1596037 45.572215 20.437723 20.904658 11.191712 30.138888 40.866835 22.090545 15.869965 18.9613997 50.169024 49.152926 56.500473 35.124801
65296 30.092233 17.468024 32.973273 28.535634 25.354057 21.885100 42.669116 21.675829 50.997378 36.815802 29.634873 51.293082 24.658123 30.483556 37.61129 33.238732 17.77875 29.115980 33.519696 29.440416 19.975594 41.165339 53.330376 22.4767294 30.936562 56.162341 50.741205 52.318179 41.998621 44.1201974 29.745635 40.365631 23.209578 20.3631333 24.223132 29.013701 39.860165 30.000040 30.943510 31.360836 31.331857 42.281641 19.573851 30.224603 42.705706 32.651577 35.066985 61.775693 19.359671 43.480030 7.4746819 9.2897566 37.540521 22.693969 28.255399 26.416799 22.520677 40.610328 28.164861 25.320642 36.4175179 23.390062 23.983917 33.858795 33.582952
88082 32.157957 40.019433 31.101260 30.820729 34.628624 24.544082 34.376427 29.138851 29.973109 17.689081 36.897028 17.707984 36.878786 14.986314 34.55580 26.806369 35.56000 22.681137 46.829184 31.554865 42.756990 29.227812 37.008746 40.3397209 34.372949 15.829363 31.716790 37.066825 20.728892 23.6571465 50.537104 27.958348 39.050588 41.1432799 50.458807 29.688522 42.040382 36.838535 21.290237 37.657697 43.748945 23.330419 31.265343 32.899187 35.456977 21.543644 31.840759 32.980385 41.371414 35.220813 49.9924436 45.7832173 27.712092 44.653682 45.944453 36.078517 35.622877 16.059600 26.489351 45.885273 45.2347146 16.437147 24.257292 20.644243 45.088165
32719 29.807441 32.684950 36.489655 32.710853 28.110391 27.469694 21.546154 17.672818 17.519706 34.505330 29.707318 1.051632 33.909281 27.933080 23.82512 22.803103 29.94597 30.166801 26.286683 36.179680 31.040777 18.580806 7.228111 13.4782367 11.063285 22.454463 17.482261 26.286671 23.860684 15.6605859 31.049662 25.325065 30.756069 31.5572682 19.167228 25.209477 23.014019 20.153229 31.992929 15.795846 33.959522 20.209093 18.800731 17.320500 20.728577 40.437050 32.098881 19.297281 19.563315 25.630732 29.8017948 33.9675797 28.682752 24.513313 19.475308 24.123200 34.732852 33.163500 34.395832 21.887542 35.7690743 23.975785 53.151500 41.363978 33.469390
50228 26.548839 40.159515 31.289990 27.651806 19.969608 28.092737 33.777023 23.938798 39.334327 31.725883 39.362070 35.122476 41.386610 33.707030 46.30391 35.937287 34.93491 30.504167 38.073625 41.780882 31.302762 25.312861 27.824331 21.2289972 44.372169 34.574377 57.157701 21.301413 28.446566 32.8019400 29.400698 44.222730 32.044755 28.4438766 39.830150 20.429484 30.574494 27.827885 30.311053 26.939640 25.974261 29.738393 43.873394 25.243209 40.719100 35.770865 11.192300 25.419365 35.233844 31.577931 46.6701627 18.7391167 33.001521 28.945174 31.312028 32.487452 34.805419 27.108119 25.062926 41.966521 12.5800994 29.174357 36.113394 41.391799 11.513271
73421 25.400252 51.675805 38.971445 29.207032 27.759218 38.755731 36.723627 35.162050 35.634251 23.575532 23.696171 30.248119 34.721026 31.129630 29.99285 30.482609 26.59785 32.611425 23.958193 31.811963 35.539476 17.866866 30.786091 40.1672414 48.243318 39.170412 34.680859 21.299989 24.443246 23.7869077 44.427882 15.003556 20.846337 20.1596969 33.655539 34.508693 36.672567 23.420446 27.279287 27.882305 22.695625 31.237728 33.910604 20.971293 28.841548 27.820093 31.638713 32.445758 30.527473 29.895342 30.2511744 28.1205265 28.331873 35.316302 30.915962 45.655899 29.129097 39.716415 12.053910 31.963761 18.0684272 32.050710 21.859938 36.839807 18.446585
90981 20.638565 27.719040 37.492694 25.963211 38.372933 27.917673 21.866666 12.230388 52.492960 27.466223 35.241796 31.763602 11.687276 32.510727 23.19826 32.700910 31.93667 16.242677 40.430545 26.670800 36.011434 41.970802 33.849232 20.0443383 21.795966 36.650404 28.627335 31.414607 30.144462 35.0330037 20.969546 30.191315 38.384442 22.5556248 11.847821 32.183250 20.943188 18.681820 37.492478 39.553919 35.770674 42.702216 39.931612 40.561822 19.060626 38.423007 20.742876 12.270856 24.813878 24.701554 12.9861682 28.1713243 33.499385 26.523610 28.383125 39.792794 36.490420 35.487965 13.729951 17.115482 44.4781547 29.320080 40.006476 41.326181 18.300699
55926 28.373600 41.029635 29.528688 29.716949 47.910267 31.367745 50.479192 25.531891 36.782574 52.076121 20.228002 44.986186 46.511529 22.758050 30.67905 21.411408 28.16836 26.023795 25.099365 11.518596 39.010543 43.655801 47.427233 40.2243238 44.714998 37.807028 34.283552 45.527283 38.553659 31.2726414 31.676185 40.678285 9.130784 31.0745726 38.321445 24.278742 38.825100 47.201642 21.042906 45.290923 26.032313 22.457628 21.214387 32.049263 35.844465 12.928247 33.298171 34.579071 21.580677 42.512713 31.5719198 23.5060844 31.215767 32.726869 33.592000 35.176735 17.830856 23.875070 27.715664 33.923950 18.7190656 27.567279 26.382412 29.626919 21.393443
49857 30.142449 28.396649 27.184411 37.346653 24.500856 26.148385 24.862774 36.872258 32.304591 37.727728 10.593937 35.729252 37.836285 26.564473 26.14587 12.286223 36.67752 35.806791 25.916621 31.884284 22.384088 35.789599 39.238305 28.7547003 42.401083 23.118147 40.278388 35.868212 37.748586 31.5276914 38.320223 27.307259 25.555210 16.9962229 45.310864 30.489950 27.751763 31.589024 21.597838 36.980648 28.301637 37.316465 24.951953 15.259211 29.343595 30.733141 30.070228 17.994291 42.334037 41.498242 28.4748682 27.5900451 33.764976 32.594788 39.683142 38.350628 26.277379 28.528943 34.673531 38.077686 28.1792979 16.523215 37.287905 20.234911 34.209010
51945 35.586028 30.857750 27.346254 39.518663 19.385941 28.073912 39.968116 38.753240 26.121575 28.062897 39.866021 20.369680 43.801177 45.452956 30.65766 40.412408 21.63836 25.241121 35.813350 29.038027 39.839006 22.969356 31.578112 26.3047270 34.926563 21.483596 23.515512 35.664570 33.121473 19.5635743 11.336031 32.615996 36.767827 42.0215666 27.539996 17.302462 36.178736 29.901103 36.975612 23.510169 29.052402 30.642416 28.190962 38.669091 25.349171 35.505789 27.668008 34.648665 34.735580 43.044811 20.3938320 31.3849832 30.943647 27.573437 37.948322 34.124401 29.437781 31.367346 31.123935 34.779829 26.3352477 31.041712 32.941144 28.887585 42.031182
43389 36.661933 24.203605 21.003895 24.254482 21.226479 33.750161 33.292483 24.751179 27.068539 30.853937 42.613704 32.566119 40.291638 21.932111 33.08292 24.017046 20.67578 29.377255 23.296651 18.938633 21.701294 18.409417 17.374946 26.6673909 17.153418 21.328089 46.187647 22.343100 50.307993 36.8280920 19.182799 36.411879 19.699398 30.7854775 16.686720 23.411928 26.436695 22.234491 20.550634 20.622346 45.423535 11.710235 34.011529 18.698466 34.704256 31.900049 14.169588 39.032372 13.592396 16.781674 21.6464461 20.4724297 9.731794 34.145962 25.431100 20.857431 40.441533 28.287502 27.187868 23.558500 41.3279904 36.989362 27.705653 33.299596 19.705664
89998 25.298909 26.688077 41.210235 12.766144 29.376756 21.080219 27.535775 20.464682 28.771608 19.216062 39.007625 22.761743 27.871229 53.238559 21.26066 18.263202 50.50946 22.492345 25.780662 22.759865 28.682754 30.566610 42.201210 27.9087641 21.447952 22.167808 25.895937 35.720670 32.086432 37.5315775 26.482422 31.575370 36.394552 17.8428791 35.158329 17.412126 28.392276 27.230509 14.872626 33.644891 26.440813 23.427343 16.395471 34.650053 44.056020 25.046835 33.306001 32.729582 35.065387 25.151044 52.0884694 21.9031208 31.922781 47.852182 31.942588 35.043339 29.533255 25.118997 22.517323 27.785522 30.6718865 16.099374 26.294341 39.121273 21.500859
85556 22.554299 29.979727 30.427798 28.426858 42.828450 25.556149 11.150566 34.024293 19.634996 29.497382 26.306740 26.793117 27.055446 22.275699 37.29215 24.571525 36.09528 27.875519 18.231521 32.785482 17.536686 40.099985 25.562032 38.5568417 29.212220 36.023587 32.645989 40.168125 31.011257 33.3647750 36.954604 21.443828 40.691569 23.1393488 32.227733 16.804317 28.756379 25.984882 28.083113 18.089105 29.371986 23.241331 18.372704 26.307733 23.774754 29.895429 37.895770 33.176869 29.500170 29.029391 41.3902719 16.5660122 20.492842 22.194473 36.744781 34.273966 37.784201 34.637118 31.447064 19.546125 22.0564096 34.581337 32.827119 32.149023 31.429807
24818 35.163454 24.376065 24.676656 27.853979 33.215515 46.104355 46.842039 26.015915 40.720525 30.029368 30.261416 22.168505 43.086315 33.064504 22.79823 41.385201 34.28664 28.011211 23.684410 29.433801 31.107626 37.005513 29.998566 31.0257236 27.619160 30.819401 41.222089 35.786258 35.740865 26.6068220 34.809045 35.404682 42.354501 49.5507312 27.547292 31.622365 21.681193 46.250084 27.104488 33.372169 33.365683 37.067662 26.435376 36.375152 39.373227 28.215688 42.432421 39.715872 32.433264 27.482456 18.6722796 32.2662965 26.032828 46.809654 28.924927 33.243462 26.867851 32.602415 18.962156 23.116180 25.0666911 36.169717 38.485428 32.239324 28.943578
74548 30.993056 26.662672 21.422579 30.263368 24.738401 31.627381 21.208400 23.775332 32.870076 37.500330 32.902758 38.306198 28.868524 28.409288 48.89111 41.410063 26.15785 39.098213 27.679186 26.871948 31.537770 30.318569 42.690451 25.2030840 33.210066 9.790877 27.851281 25.830511 45.128277 27.5372691 31.212159 30.702345 30.059280 30.0320147 31.873373 24.840684 21.615056 21.625273 35.341973 37.711947 30.313438 30.706574 30.855804 25.114068 29.118422 24.682835 32.540120 19.137525 27.408713 24.093393 37.7849045 33.6533452 30.896988 15.823008 20.223753 42.735453 43.553568 43.025941 33.506093 27.239775 35.4429725 31.466220 47.073787 28.406773 37.188388
58944 19.675156 24.726887 33.183272 36.341157 27.368564 36.606957 34.857340 30.644271 41.288143 34.416912 17.900908 37.595022 27.072290 29.762763 19.74335 10.745044 38.49924 22.272961 13.676640 14.547857 25.334190 43.436239 30.725883 22.4033611 30.174857 28.950025 36.695333 40.358526 25.412785 8.6373503 28.771566 24.811323 18.219245 24.0190765 16.363847 12.857181 28.635881 34.001464 23.836262 40.110247 41.504497 42.620080 31.373713 45.861952 28.186200 17.332204 19.564125 31.870602 19.104639 39.611820 25.4123314 26.1715226 60.596918 14.592693 18.915141 39.287720 21.984502 16.164946 17.359669 29.060146 39.1938928 31.706079 28.103037 27.359021 28.744515
56303 24.550362 25.223081 23.603308 21.400296 25.810918 35.046167 27.692299 35.259154 12.035891 35.567737 17.279519 44.085964 33.725196 10.949564 42.97405 14.145455 30.77811 27.339384 37.484201 14.151460 43.421265 33.926294 27.271535 28.4071897 31.908326 25.487454 19.503683 32.320764 28.782895 35.1943841 20.287279 35.743073 24.581384 28.5386328 28.330239 25.764559 46.895909 29.185889 17.455341 24.975219 35.018555 24.658325 14.057144 9.588534 42.117711 34.848389 23.503578 32.253281 29.598867 46.221737 34.7513767 39.6291591 22.436835 24.225185 33.800969 33.582363 25.055592 23.641473 28.879156 39.999247 39.5613356 19.394419 27.409421 21.878645 48.446195
82130 28.839644 33.215603 36.634081 24.484687 31.177013 37.726748 17.515657 33.516478 24.938788 31.580589 41.382277 50.190569 21.423617 25.634309 22.84273 29.251803 47.11628 36.018203 22.657115 31.698511 26.485158 33.874401 28.866132 30.3975346 29.810090 30.700393 28.451885 21.768430 15.343171 27.9626040 42.036347 26.220854 40.445202 40.0914452 20.490602 26.348403 31.927905 29.904806 22.908040 25.995000 26.798366 26.901710 33.652350 32.413582 16.779217 23.782093 21.780275 50.434887 34.640219 24.097386 28.6424687 29.7723512 30.630791 26.384603 32.865518 23.584810 39.286916 25.454419 40.260394 32.438899 20.6273210 36.098509 29.655958 24.922721 29.384304
90624 29.064979 31.423367 31.327026 29.407571 38.640951 27.534585 41.085827 31.531323 25.852012 28.737521 31.391480 15.986058 27.596331 24.285163 38.77718 24.220643 34.37504 34.231729 36.437919 22.562969 20.929944 36.815102 38.550403 40.7640250 40.545446 23.204379 17.286656 41.645120 20.633851 34.7645645 21.005199 27.938663 19.935676 17.6425069 27.111862 17.993037 35.940542 30.393185 30.122350 40.192325 30.357999 30.926777 14.102165 15.207738 9.877355 38.158196 22.263016 37.838765 25.519174 26.003991 26.3503964 39.1640923 34.764122 29.214222 30.851509 30.612447 35.204032 31.151135 23.252682 21.739273 33.0871495 35.287460 17.102841 24.961313 36.819234
58971 19.684029 38.891436 35.187192 31.859547 24.689670 22.674051 27.301160 43.740982 21.625473 40.889587 34.287739 41.029672 58.857989 20.605976 35.46098 19.571034 23.11867 36.857789 45.265096 38.291826 24.426167 36.322754 31.907001 24.6221194 27.652506 39.687970 41.420372 29.455725 46.496797 37.7175944 37.757379 39.581505 33.576833 23.6956662 24.652354 22.323725 44.776237 31.128993 36.054383 36.162270 43.286935 26.157874 23.309820 23.271153 38.940572 26.778773 23.444910 34.418369 35.812586 39.972287 31.4988558 22.5970095 20.108252 28.288836 27.267111 34.154340 29.937289 29.096664 46.342097 39.767127 44.7750831 35.976850 30.229257 34.321835 34.569911
92749 25.801052 25.805791 32.612326 22.007853 32.187016 32.923747 32.903404 39.115643 41.893379 39.552533 25.418053 16.488851 20.329157 35.701300 35.58646 34.900399 31.63869 16.906672 25.297310 36.399037 27.803000 32.649159 27.876614 26.4625918 25.913082 26.880166 28.189407 32.022071 27.788457 20.0976177 32.250611 20.703117 32.219310 30.3578141 40.683730 20.863735 23.558607 41.598827 39.547057 38.503994 29.467122 30.563949 10.431234 38.011670 27.936584 43.607151 36.853763 15.790463 20.112987 41.273007 26.5655541 21.8530406 17.730412 26.788887 33.382363 25.876066 20.160448 21.029399 21.978021 23.120159 24.8019840 31.259363 22.677331 23.706920 23.726774
45566 26.583192 29.982458 24.579268 31.658675 22.718284 32.224045 24.693885 33.867003 40.387735 35.511376 34.264533 40.582820 32.079732 8.692353 32.75426 39.361479 32.03118 30.023338 26.669717 34.082593 23.782759 28.398482 20.449192 32.9318576 24.301473 42.230315 37.022680 42.774217 41.977409 40.9251998 14.424537 34.245803 27.768333 28.7768892 35.747759 29.440824 27.711052 37.266153 47.232601 27.946364 29.051063 15.018062 25.935745 30.323416 33.332280 36.737514 28.066115 43.687858 27.882324 32.091021 37.8155287 38.6675171 31.488027 23.366170 45.210197 32.278551 32.432074 21.931678 31.509537 40.839650 30.4147903 27.533437 22.653444 31.149123 34.444319
41496 25.981489 38.036872 11.090978 25.122838 33.044584 25.590111 22.044129 23.901367 13.242268 22.631940 19.989030 33.577786 19.501967 18.547963 32.12320 26.240466 28.72965 10.045151 22.551652 24.734996 29.651509 27.478613 22.023138 14.2949119 31.372292 17.358071 32.894093 19.139761 29.667734 20.6518646 16.939101 38.557013 26.711555 25.5980264 36.804293 26.124434 21.818729 11.112613 20.359220 24.468060 32.478591 12.376986 14.639822 18.593983 25.090446 22.493977 34.648350 21.886717 25.677535 22.976636 31.9389134 8.4423428 3.792358 27.167311 28.388906 26.298311 30.209528 22.521878 15.747997 32.758096 27.9861805 26.883051 20.200317 25.369322 23.441060
52766 31.914660 13.243312 33.375099 38.927707 18.202145 27.140465 39.480033 46.900497 27.565879 30.684713 25.858022 46.230026 27.218307 36.356147 36.43644 26.380024 26.82327 31.319281 50.321161 17.092689 46.160292 32.854924 23.882763 36.0008288 44.526570 35.916800 44.919633 26.141744 29.441171 41.0482167 24.324049 49.152252 25.886378 33.4785454 24.332078 26.695742 37.625251 30.362971 21.555843 32.018500 37.101493 36.760490 25.276450 50.343318 35.588956 25.583685 31.165047 49.647814 32.184949 28.941914 31.8193352 36.7132714 44.725141 35.924831 30.512722 21.617285 24.537646 9.161712 33.917101 28.862260 34.0558674 30.830651 25.164639 26.860455 37.637884
32042 37.633643 42.015338 26.474331 38.158581 26.543835 38.348424 20.699144 25.480524 18.048877 23.149088 34.762803 48.022851 24.534198 23.485435 40.73449 24.123195 29.98146 28.030655 22.989257 39.572244 26.698877 38.550763 34.516115 19.4043449 40.760112 39.111137 41.129888 28.807493 42.010818 45.5307712 22.834458 34.051813 38.917823 34.7736533 38.492663 39.814909 28.604939 35.688234 25.110330 23.822001 41.410802 26.129061 29.996275 12.206899 41.716008 45.045941 51.761728 55.639406 46.961365 36.677338 33.9202929 17.6265319 17.574537 39.915773 29.565817 35.565448 39.769048 42.352035 21.589371 24.729289 45.7071567 29.564419 41.046115 36.148222 30.439921
29604 2.420639 34.343170 34.214025 25.413038 34.954166 7.064840 2.446944 48.511145 22.632237 28.564961 19.078566 20.392909 29.264223 25.149078 31.08646 19.994237 33.02836 18.708201 25.805493 19.948129 38.387501 32.292846 30.521602 39.5658046 24.120747 31.473172 37.501791 14.364597 35.617111 29.8602114 38.490792 34.179116 27.773948 21.1141408 18.358861 14.022599 31.719753 22.911239 5.672416 32.019540 32.343585 20.801648 9.368562 20.630559 27.657616 19.231063 20.998279 30.275459 28.541069 29.432911 39.5770855 36.5048450 25.905067 31.520186 33.596912 31.945084 9.318868 10.967399 28.738010 55.103217 25.2969364 6.336826 17.815075 12.647980 29.020860
49977 42.367982 35.628394 63.386302 31.798330 40.448562 30.101761 39.337573 36.887914 36.568364 24.853534 37.591616 29.847296 36.143351 27.957477 37.02924 34.340559 25.31018 39.323443 38.385332 41.386654 10.083117 37.621319 60.314151 15.0169239 25.306451 23.823680 22.522782 54.791080 35.588405 44.1317923 30.989500 15.966913 24.713221 37.8539147 16.465251 36.623721 39.711937 39.180785 18.003388 36.801627 31.950428 31.759733 29.862149 32.057185 31.106927 34.992052 36.640967 17.055519 22.983694 34.456634 22.6036969 29.6022130 39.479900 30.111803 15.854368 25.885809 18.719752 32.502697 26.915870 39.695951 23.3618381 37.220652 38.470079 49.145836 41.078735
57911 27.563231 28.559320 32.143933 31.375858 37.618114 34.451518 37.462498 18.394229 35.975890 26.381930 37.022688 33.097091 24.257594 34.246320 36.47430 25.862563 23.14319 16.881797 32.298564 49.190543 30.185376 22.986425 31.126531 29.8243196 29.690115 34.964104 37.756407 33.990819 34.775078 21.9119994 32.370885 35.383640 32.276739 40.5212656 39.083818 30.022748 22.742413 34.592808 28.549008 25.969251 35.076470 35.744223 29.974001 27.434696 26.682088 22.771443 29.037806 20.707621 36.691403 31.356441 47.8554236 35.3278471 40.409509 46.280040 34.733997 34.794080 38.992976 41.365593 19.828992 31.250416 36.1938261 24.781798 36.849967 28.623793 26.125580
66344 54.645202 11.035614 10.572752 15.970482 21.226332 44.203719 32.408571 21.994000 40.475916 35.014881 46.132466 17.129276 28.100962 35.055235 21.68471 27.836276 17.66537 29.855081 28.966335 49.191582 21.493740 35.688115 31.915562 25.7411588 20.392373 23.375946 34.563367 20.951144 24.298996 32.2049602 27.785324 32.026256 40.524600 34.2441085 28.119147 40.066902 29.390490 34.353319 20.842905 28.173495 23.220519 32.538293 37.419935 17.402624 14.755591 35.021397 30.650918 7.409551 22.281236 26.061563 22.7781923 30.3133879 27.853184 28.049751 23.953179 23.738666 44.365273 38.186699 25.079141 7.705860 28.4442333 36.756850 39.024579 39.985661 23.206388
50702 37.043993 34.504502 33.176157 26.366409 31.279278 36.229601 26.475961 33.497649 37.195412 44.340669 24.738809 18.797044 20.638128 30.628168 41.58706 39.412308 27.57748 39.461175 31.225094 33.590231 32.488211 20.877315 27.125501 19.7122918 28.905026 21.581079 34.547175 30.840974 50.795601 20.5083979 53.465832 31.291726 39.195158 32.2461337 35.709957 21.612459 27.759526 34.274145 45.437987 33.413021 31.356673 32.971294 49.486983 21.617422 38.985254 50.626975 23.758016 34.868828 22.269311 42.147342 30.4580303 27.7710489 34.890186 35.518282 46.657083 32.710939 38.417128 42.476754 39.225891 36.048613 31.6119820 39.994774 27.388793 36.210209 39.216273
42630 22.470427 31.870540 31.172381 41.719481 22.312694 18.458706 20.659351 23.400437 39.731265 21.406975 19.714254 29.244144 43.570788 47.210309 27.25521 26.370471 28.58592 39.527550 38.844207 22.494376 26.417629 11.611303 21.244297 22.8862197 27.320723 43.280345 37.863360 23.237833 38.229073 26.5923272 32.656383 48.708555 29.184987 5.5425522 39.649107 35.392699 15.833070 32.128845 34.914660 30.732693 26.355525 22.329751 30.676349 30.091716 30.059795 28.613132 35.334119 43.443950 18.283137 29.499964 36.7089062 23.3695986 40.955902 29.404510 32.553177 40.864469 25.306780 23.746300 40.892220 22.532867 32.2869982 27.505221 21.714625 19.764267 41.989114
36094 18.529789 30.598952 25.482553 20.154790 24.990048 36.885991 33.467088 22.677412 25.839710 24.684196 29.667619 44.886189 22.498179 27.396772 30.14602 32.975042 40.48107 25.666203 21.186857 31.984296 31.781585 30.733077 11.273877 26.8641541 45.634278 25.362282 31.836088 27.556718 33.470646 22.7882375 24.215875 13.327741 39.565115 22.7267340 31.601511 24.502873 25.814818 30.240062 41.279826 28.312274 22.583588 23.515597 31.738765 36.723352 38.662004 36.757522 13.756303 56.535813 33.755106 23.612212 41.0389808 17.4112685 26.794252 31.386537 25.481807 27.844465 30.148104 31.258362 32.830930 34.120409 16.5424188 29.769373 36.767640 29.454221 30.972742
65333 17.971763 56.767361 39.220730 35.427307 44.528725 25.721033 31.888592 29.868953 29.240232 26.199621 20.187628 6.509635 27.509253 46.955056 36.35383 29.181590 38.17227 35.964384 45.139237 25.258643 55.494393 24.263744 39.864062 54.1291305 51.637611 30.399516 34.434182 33.593338 33.953345 19.8619055 46.417922 15.983911 23.959431 20.5977289 52.610991 21.855252 32.607006 38.761615 17.966667 42.036375 38.454206 27.859322 15.409105 36.708156 27.531635 22.568164 29.814929 32.493854 56.616500 29.560212 33.0353730 22.2275172 28.714097 49.244374 44.611321 51.649406 27.729833 14.683170 41.614310 53.678939 39.7265878 21.475806 21.109306 21.016677 18.759779
29334 34.062828 49.605184 18.490858 40.074383 33.868652 22.509721 37.984761 27.169050 27.869983 33.897544 30.504221 29.497966 35.495895 30.156730 14.31515 25.757905 21.78094 34.654575 25.364069 17.304696 39.440429 30.086246 38.364430 28.1464969 30.281779 36.761378 26.606329 21.197555 33.130822 29.0808125 30.638066 22.064458 32.075775 18.3244556 40.933663 17.821532 18.214992 41.702240 37.970964 32.317966 32.183299 37.956816 26.309623 36.484784 38.026127 28.672402 20.124476 34.935465 48.873821 42.496141 40.7766412 32.8273714 40.336587 32.929739 26.979305 36.490964 23.834394 28.910074 33.751183 50.634411 29.5703141 24.818131 35.125265 29.130619 28.425423
50271 13.761845 31.233799 20.844944 41.849250 23.989193 10.167731 14.375827 35.880441 19.160313 33.969471 18.290171 31.590037 32.205355 14.880612 41.73247 29.995427 27.90507 34.693812 40.210306 23.899651 31.216352 10.246619 24.200831 28.1121763 21.839253 48.842523 38.214454 28.631820 45.082121 40.0896229 16.275789 18.213911 27.456925 24.6785376 31.641633 5.570391 27.825222 26.201480 18.420939 20.795501 25.479263 33.664946 31.349380 31.311047 39.240092 24.752512 11.264700 39.127579 31.675450 44.993665 21.9111589 32.5013081 32.646365 18.566429 25.331659 22.899223 31.011239 17.301127 42.851543 38.316571 33.6855688 30.535277 20.257158 25.353228 50.512292
28556 47.058194 24.812649 35.599363 39.325081 34.476010 34.209692 43.253144 26.737335 30.519277 38.034553 30.332739 33.697494 28.308347 28.717212 38.47558 35.928491 21.97285 42.400168 37.256979 39.807229 26.711402 38.889025 38.950170 39.2425833 35.519640 33.634327 42.017656 37.951478 32.640186 33.7289735 5.737966 45.880144 31.006734 39.5456454 22.106997 45.250629 34.320501 22.364881 41.988895 39.417642 10.486271 20.834903 39.159271 29.188490 32.806170 36.905948 39.869687 26.236428 23.473651 31.371644 7.2805844 37.7787579 47.278631 21.764705 27.193583 13.064582 30.912796 32.882613 29.299755 28.940803 11.4906690 29.576381 32.883672 36.801705 40.505262
67669 42.520041 11.635249 50.094274 36.934629 15.188864 20.467230 39.765972 31.174767 28.498740 27.481339 29.582855 13.366377 28.747839 27.621246 28.42769 17.879561 27.68174 39.890776 29.163268 27.697341 18.640185 39.537954 26.796144 26.8286080 32.661625 41.023734 30.155969 37.954333 18.701452 17.1272225 29.804327 14.982065 45.051259 35.8348655 39.457791 30.383367 26.913676 16.625443 37.229780 30.637672 12.004177 18.926490 26.368629 32.333400 26.168820 34.304790 29.985249 36.835481 22.783958 21.172898 9.7479860 32.5344937 36.323274 31.595080 34.096746 14.485547 34.876073 34.139011 25.535090 25.958180 27.6680285 36.377017 37.573817 34.224888 26.847442
61798 40.126583 32.204183 35.141387 39.601416 27.491318 49.164417 42.182952 48.952828 36.023399 40.840717 50.364951 30.357867 41.160698 45.711531 36.47764 28.745826 19.98333 31.854229 37.444373 39.225136 34.895721 46.812889 26.689137 7.8918990 17.347621 24.067068 35.580261 40.889919 25.755798 42.3474550 25.198538 33.417868 37.486306 35.9002611 24.164688 40.647848 35.807790 17.288436 33.546854 42.264296 33.965030 53.063821 40.377214 31.135338 37.372833 52.138082 39.192455 21.110163 33.925907 37.513202 21.6848216 23.5014896 38.041210 24.347429 5.032083 40.178027 48.763378 27.391201 21.596413 20.231999 26.2334657 41.986432 21.141824 47.518956 30.254263
70404 52.493603 41.768948 35.900692 42.688697 20.212863 26.854314 39.416809 31.921086 34.696643 33.921461 49.818098 32.654217 30.245177 26.909453 34.37609 38.711803 43.04855 32.148403 17.480070 36.521765 40.841705 38.401016 33.172644 19.0959805 46.682425 42.131637 38.438644 34.577533 33.350396 36.1601292 35.009782 25.216055 41.296295 42.4315717 26.310492 30.440295 28.050227 28.035071 37.714742 36.626688 46.525664 36.316548 42.006408 42.912736 34.657283 49.584213 39.696929 38.855250 41.471490 39.794077 9.6025612 38.1996139 30.299126 31.974974 30.195163 30.697864 39.894139 34.542337 20.683318 22.623065 44.6902204 34.847617 56.723373 49.928393 36.462807
82893 45.761195 30.974428 25.427195 20.103658 30.568641 29.705000 20.182586 27.862398 22.502247 38.688048 36.223369 31.632996 33.918049 29.346913 34.12240 27.085113 37.75540 31.933555 15.741191 33.683324 39.349201 32.478896 32.688733 34.4131066 27.142164 38.823048 51.043517 22.426621 40.467705 36.5180339 28.867737 29.987657 30.996329 39.6995953 19.661078 36.266481 37.313517 28.534489 21.104932 18.000815 42.405981 16.662719 29.159774 26.986626 26.088789 26.512913 18.528100 33.381617 27.352434 28.101075 30.8680469 24.2088247 21.019640 17.433383 26.808400 38.409607 39.426196 32.062908 33.196526 21.417347 32.0387101 30.146507 33.150965 36.566144 35.855018
71431 23.867046 28.058032 39.080124 26.232013 22.866853 32.038371 36.453762 32.189078 39.152478 25.825457 20.736167 27.291394 19.812593 40.368492 24.92104 28.678275 15.89268 22.219929 33.539672 32.451994 21.740735 30.350274 33.825055 37.2740013 30.508007 44.801455 31.978602 33.317951 38.378705 29.0958321 35.674147 30.246600 17.990102 33.6333218 20.520340 29.685261 35.643140 26.984263 26.846533 36.817509 27.596054 26.997786 36.150912 26.187450 30.788258 41.232812 40.395380 31.791698 19.124769 16.810242 29.4893879 38.9359806 25.342841 12.247021 36.959343 28.791672 44.679099 33.260662 14.589443 38.686279 29.2207784 25.474957 14.111175 13.452004 37.163302
77424 38.098812 38.636096 26.130917 30.234064 29.006009 41.171328 35.891785 24.998867 24.368242 23.417441 37.164953 24.230981 20.315540 33.814059 36.38090 37.548816 34.89308 19.152046 38.966495 27.863466 20.631106 25.561696 6.890810 34.0580057 41.295506 35.349129 20.047768 20.363611 35.028800 15.9098490 21.951940 40.067388 25.267210 30.2849173 30.048873 48.116962 30.351678 36.944138 46.254834 25.893329 32.069017 43.824509 21.240105 19.935105 33.423325 26.150217 25.783034 29.656515 21.806357 23.123114 29.9028273 33.1302485 22.240578 23.938724 28.561920 45.021241 30.801606 36.253036 50.077437 31.527659 28.2027771 25.771948 32.853483 31.469085 35.654070
72626 29.609577 38.453056 28.106899 42.055005 32.248632 25.520489 25.798508 36.706078 34.006377 42.031232 36.007582 20.966098 36.102401 22.476004 39.50649 34.199678 38.27270 33.913649 34.267045 35.817188 23.610637 22.969966 25.986653 48.5563635 23.195177 22.215933 33.278805 18.002051 14.353948 31.3256657 24.111832 28.666011 29.710263 18.6135702 23.132610 26.521079 45.363588 26.955717 43.354512 20.161401 22.476658 31.193250 23.027400 38.037741 27.815644 45.592436 22.073426 37.898006 32.700857 39.832292 26.8060561 28.9167737 39.915443 23.428559 36.353780 15.461055 38.435935 48.855685 46.057228 17.800291 20.8505327 15.159255 28.958966 25.203108 40.557086
54101 33.770814 34.090333 33.540644 44.025405 40.854099 24.568614 31.779504 29.514531 36.402720 37.899293 26.375835 33.209850 40.237997 38.099255 32.76911 22.131815 51.05887 25.476388 45.393802 39.539911 33.081543 16.829506 41.027462 19.8379100 33.577746 17.685161 21.396948 25.772744 29.627978 31.5191401 30.580104 17.655170 46.999877 26.5758965 31.875630 49.038368 42.769402 41.181874 34.585360 33.941490 30.172258 19.690183 28.139803 37.055030 31.810591 28.415432 41.505807 27.371593 26.922429 35.823254 36.0881356 35.0047762 35.887610 45.488419 29.676923 37.875406 31.581952 52.687512 21.701629 36.528032 19.8403568 48.260370 25.372707 47.443340 44.002631
85618 36.061727 27.676237 31.195657 24.332605 28.352364 38.503873 19.872311 21.343509 31.559982 40.027884 25.807477 22.746400 14.698586 24.854947 14.98460 35.006934 24.70967 23.884146 31.684729 24.926380 11.973430 2.068401 11.812103 30.7935929 35.825243 22.775371 23.454836 21.615716 14.811780 22.2673939 31.641542 15.864095 37.592050 29.0015616 16.365250 42.038001 25.525986 24.741956 26.670705 21.537049 21.397254 32.963593 33.702665 16.213324 16.195878 27.087312 34.651573 26.126539 45.563171 14.126478 22.2366028 14.4624443 19.514891 17.623257 26.516492 41.137280 34.786498 33.930359 25.687837 29.870669 27.2258515 31.628722 42.506715 15.472844 35.545782
33173 31.126622 19.616204 34.688170 26.527190 27.891422 41.473161 27.722095 25.943846 34.547618 28.307348 35.392046 39.498920 29.692981 26.459443 36.92779 46.626104 23.07250 27.537701 30.283957 34.816559 32.006688 52.001921 33.223782 1.9846044 29.535444 25.899946 35.886439 41.926717 37.905568 24.1065724 34.446405 27.229739 36.703014 39.5359317 21.753091 27.852553 38.379684 35.207833 42.767741 41.686778 23.044410 30.183460 42.618087 41.913054 27.888046 52.290459 34.034189 28.881319 16.208786 23.378649 27.0537412 23.0082748 29.606907 34.043258 29.348968 20.614866 25.925474 26.620456 22.451732 15.335640 27.2145505 48.160789 30.781650 50.628285 45.787392
59215 22.824996 42.543223 27.545631 26.281044 20.846050 35.132785 53.297877 43.762080 34.609926 29.956836 34.929661 36.677238 40.089116 28.831391 15.14678 39.189505 40.44505 29.856172 35.271484 40.182896 33.040056 39.192817 30.062662 46.2635819 29.088658 29.710335 29.272315 34.846506 28.009120 34.8549760 44.335384 33.601842 32.733984 24.0604388 36.445898 32.595209 31.511402 46.165797 39.368053 24.381505 25.049221 32.669432 43.678829 33.558392 35.804398 30.492338 42.177343 26.489787 24.725654 31.687821 26.3790472 30.5471991 42.131012 33.492754 49.741680 28.478769 35.700800 33.530302 37.052151 29.611346 31.5339434 30.994626 38.576793 39.053018 41.452612
28496 30.204258 56.605468 25.599988 19.691754 42.932526 37.691922 33.044094 25.198165 18.035495 14.878815 8.703976 33.269270 23.672683 27.762634 18.47379 23.438365 29.91788 34.398695 15.041743 20.830047 24.171291 23.621602 13.870413 26.1818055 33.016699 42.820883 35.403615 25.718632 53.681841 19.4687755 55.890548 45.942877 38.025393 19.8901865 33.670527 25.180697 12.744841 43.598684 19.379842 23.483419 35.674613 3.316395 37.842391 2.457180 34.854339 30.773971 30.339393 46.169259 31.603363 22.789604 35.8152828 26.6693285 43.212342 35.074060 50.266637 39.728170 31.749413 27.083363 16.314930 41.440837 26.8190204 44.998244 33.297604 27.688404 20.160990
33288 20.223098 22.716221 24.956871 31.322855 34.500356 13.725039 39.150728 31.745986 37.235712 35.028595 27.809468 23.745179 34.109043 28.112123 27.29142 17.573043 34.31145 43.970620 45.657427 28.069675 22.310916 31.757648 23.773412 16.5363599 15.985654 6.010470 29.958666 32.297270 17.221228 33.3440533 41.259143 29.306548 19.501314 16.4486864 27.190492 39.480288 33.885248 29.995012 35.793030 30.743426 11.417464 38.600466 17.543416 17.653700 18.387486 27.794496 8.925558 17.026376 47.812152 33.777227 40.1253790 26.2341452 36.153925 27.884939 28.868785 37.943193 21.082428 22.211636 31.540125 36.666186 11.5580355 27.937558 16.257177 20.646005 24.886637
49623 26.589572 22.542071 10.319292 35.504159 27.921481 37.768423 30.501854 24.394517 31.527839 28.387110 47.974765 19.539337 29.542088 27.234473 22.64745 31.095497 35.91305 25.910894 30.341043 29.557403 19.698291 36.695469 34.887704 38.7142556 15.734355 26.390224 44.422571 23.253367 37.680391 27.1584060 34.906272 43.111391 20.845354 26.0202226 29.854361 27.295215 24.161478 17.347550 46.297813 33.615577 30.434303 19.418398 31.470915 13.478888 35.124627 37.075747 37.269330 27.738088 28.308050 29.512448 27.5472116 32.4667013 22.501432 8.060217 4.232259 23.539094 44.214018 38.155370 28.674381 21.491243 27.7094672 19.795237 46.776081 26.115167 39.616211
67597 28.141824 36.893361 29.940224 35.290158 17.414178 28.127695 21.652325 38.235188 28.364653 37.939408 40.802686 21.703534 52.208259 42.257311 42.18286 43.759887 18.64511 31.324278 28.682853 31.218197 31.742092 43.419443 12.502492 30.6457184 21.718758 41.245075 25.864152 35.164629 39.945099 36.6431182 22.826348 26.663429 45.555353 35.8279808 26.095919 41.429283 25.588757 25.072049 55.364097 28.893083 28.578334 32.624978 36.600955 22.325685 22.224317 24.433561 37.744271 21.754368 25.492985 30.704047 40.5110570 28.1251045 34.550641 22.486447 35.028323 30.567743 46.006143 40.954746 30.273342 23.373250 21.0963554 30.004739 43.294176 40.814228 26.177319
65991 28.476339 45.956845 32.526772 28.308021 32.076229 37.899217 30.474094 26.019833 28.978097 23.884000 32.203653 19.177422 12.835539 18.453469 17.41423 33.021718 25.22421 16.239207 14.595220 31.361676 39.066624 23.288495 28.135406 27.5679591 24.520542 36.845444 27.707368 25.544880 34.543350 39.7478800 30.106336 36.946378 33.117658 46.7382370 36.708135 35.765194 21.992037 22.276251 27.994989 33.868809 13.055217 19.473042 15.188610 30.805045 38.190332 31.362238 29.261549 23.094172 37.895446 37.346427 44.9280012 24.5416790 26.507427 31.494115 26.552305 26.164604 45.383990 28.096525 31.566041 29.606225 14.2270083 34.075770 37.873919 33.061849 15.637106
61280 37.783611 26.356707 4.248645 53.322087 17.871460 45.919527 25.827623 31.044253 18.430684 34.241516 42.315932 29.104951 41.510773 18.725002 31.91541 36.562535 23.21922 31.741670 43.615573 44.250017 18.330720 17.759399 15.381482 29.6840869 29.705941 21.013172 27.466286 31.775451 26.606908 46.7860607 29.298456 41.039208 31.837409 33.3833774 34.575254 47.431128 38.069297 18.537739 35.644594 31.921630 34.844262 16.927513 38.715845 5.789916 32.458750 52.499861 37.698196 29.500268 9.955727 37.140237 33.1742798 37.5962107 16.964311 22.176183 15.366436 29.938869 24.700028 36.534119 33.030388 40.229978 36.8165762 32.708120 39.882153 51.672799 32.634025
89232 20.515673 24.724753 43.899193 6.511169 38.260631 35.488364 57.851611 29.299408 35.164579 26.820930 16.034935 21.887387 24.789715 27.545610 29.43119 19.953064 33.02645 17.941543 27.827171 29.600433 34.266245 31.406508 37.271937 47.7592028 30.915871 22.081367 48.879343 47.517824 28.142050 27.3185178 44.065444 40.621833 23.727733 24.9648628 29.750059 20.296444 17.499555 33.755486 26.250554 41.116068 27.684064 51.978764 9.322969 33.763154 26.648165 27.323656 22.097819 30.889448 31.291928 39.953648 14.3441012 15.7494452 40.991286 22.924754 30.332418 36.507279 20.716866 17.257967 28.363551 25.470134 13.6312066 29.559193 35.413618 28.959026 19.084877
32087 32.456344 17.235022 32.378148 23.910842 28.667906 31.806513 27.973239 28.216726 37.464868 24.392164 34.943940 41.057417 26.376435 11.473437 18.32747 30.418954 24.61578 16.986324 27.797562 42.070131 20.182085 28.265269 14.981365 36.6834118 21.560567 26.433053 34.672909 14.834894 37.659953 19.7990985 27.401943 31.155452 24.699444 23.6628527 23.491622 22.391737 18.410441 19.992020 43.186764 34.451973 31.572985 19.333232 36.437967 29.529954 25.781334 25.166477 38.722629 44.744030 19.161287 16.453331 28.9780072 5.8388031 28.128764 33.330552 18.333810 33.626657 48.313479 54.949681 13.373179 20.353026 28.4753748 13.439421 39.513064 33.904663 29.763522
66156 46.452758 32.732033 37.925436 13.601971 30.669593 36.144306 29.832966 17.403991 33.204015 29.311993 54.479614 29.646112 18.826810 35.763907 28.14200 51.536309 30.63634 38.329879 4.438589 38.721230 23.034722 35.355829 42.579737 25.6801172 31.877187 28.836394 20.887432 34.952113 33.491214 17.0593346 26.882725 36.361876 42.947877 40.3401030 26.991166 41.026010 31.610395 32.701393 25.690686 34.944935 33.746329 38.736203 38.963646 19.851857 43.123389 36.566867 27.641107 44.085455 42.690100 28.275603 39.6544794 31.6381631 31.292070 43.086568 54.500920 35.996304 32.860734 44.714904 21.164387 39.329282 30.4495948 44.259903 43.363394 47.442793 25.834616
67423 22.230704 40.137383 33.160265 44.192327 33.764879 28.845029 50.710162 25.084046 37.620830 29.936171 22.073453 22.882102 21.911298 40.609281 37.98951 24.138436 34.55584 38.308486 31.196941 24.135913 40.771231 24.355214 36.391852 34.5326203 25.948848 13.101655 23.252786 23.181624 27.457970 23.1556044 43.518249 19.803638 39.146426 39.4955058 36.276902 36.083799 33.025334 44.304544 28.953138 42.213683 34.322594 23.006886 24.253168 40.004510 5.924159 47.953182 28.482026 14.454646 37.678134 33.716990 22.8851248 29.5115802 39.929882 31.356152 43.148333 47.531794 33.226310 17.890683 34.812549 35.831989 23.5032588 42.586323 27.268183 19.448485 21.969114
67610 30.579837 29.860040 21.236133 23.484950 17.266934 27.035934 48.955481 18.601422 35.067172 22.126918 26.177435 30.093311 20.714002 31.472078 38.03501 23.096523 39.39205 30.413716 33.361321 23.262376 32.273161 24.966293 24.031111 31.7674259 33.263169 23.417594 22.857799 24.334422 28.406246 22.1819255 33.261305 26.871724 24.397276 30.9652563 46.145479 26.836817 28.088190 44.154338 16.013957 31.297074 30.312319 36.240713 28.997658 23.352141 27.197676 19.622507 37.799785 18.740506 37.269979 27.568416 39.8108830 25.1768532 19.426533 38.527377 41.067047 26.212967 39.502911 25.694206 25.792532 52.081551 24.9588279 29.183347 26.231233 29.415228 28.064955
80088 27.455591 21.870991 34.484222 31.738140 36.755410 24.439496 38.387638 36.834548 40.899861 28.674549 36.193696 20.964361 42.957183 38.377732 27.77160 35.125497 36.52388 37.110137 26.986318 34.245651 31.759065 35.096164 46.735741 33.9361013 30.478428 19.970458 26.479522 49.472397 32.943977 28.2263067 33.589909 27.679812 25.614431 23.8807650 57.955307 11.015253 30.586508 23.134242 17.959247 33.999088 29.748187 39.457409 25.998137 31.063017 33.727731 24.301186 26.167019 26.053687 31.988601 34.493982 35.2985056 21.5988077 44.644942 27.757730 33.520419 32.234486 41.516421 29.627024 41.063062 26.213858 28.5338950 30.784688 11.470607 30.158626 42.619166
82376 24.051793 37.559489 32.100879 28.764282 43.553879 29.475306 19.556565 22.010733 19.771232 24.276725 21.015979 31.774064 37.985719 26.278946 24.78890 24.821569 35.90297 19.552366 16.532769 12.694366 25.269653 33.263221 17.234199 36.3806328 46.051057 37.023288 24.404649 17.231203 14.470106 23.8809914 40.959350 30.237824 31.138002 28.1952717 35.520880 31.901746 27.445755 42.253944 40.491378 25.781060 34.050312 11.740331 33.788916 27.938149 24.735071 20.057650 20.825599 33.661554 34.904717 28.266429 41.5504890 25.5054038 27.620294 36.779492 47.690796 30.732048 23.350686 24.185502 31.930695 34.981545 44.3506403 26.527536 27.988446 22.261560 26.830396
40366 31.773141 23.358843 38.815424 29.206966 34.592395 40.476184 19.576024 21.201220 29.261463 24.023733 32.727668 32.668389 31.747131 29.809888 29.25515 30.904348 44.98721 29.372689 37.420289 42.415571 35.574688 35.105781 35.527177 43.9809864 32.311779 32.391452 34.312018 36.231027 18.701952 25.2326866 37.479797 33.723096 48.902102 38.7696884 25.044944 30.241537 31.800433 29.839417 39.364939 38.204081 24.943120 33.440495 38.687497 25.105241 22.293181 27.087098 32.033612 27.659464 37.245563 17.666017 46.1753650 39.8454788 16.214807 36.549515 42.506030 42.682518 44.582252 56.843418 22.274762 39.923173 18.9635781 34.924761 45.648814 44.500272 19.841853
82543 34.863468 39.333072 23.954338 14.913661 39.655485 42.028655 41.472391 28.125813 47.070399 27.639170 30.529610 24.158275 36.370337 33.395566 31.10484 45.325818 25.18105 39.865647 31.345924 31.970418 17.109686 44.466049 39.847562 37.7067464 37.777456 16.577108 24.881084 28.114810 29.233011 17.9982418 31.695636 32.476641 28.345753 23.8450575 31.742233 34.032322 24.091110 50.320906 33.487590 27.998720 15.879847 43.238243 56.607195 35.121739 23.809353 30.320636 29.788954 30.583475 38.204942 17.428600 38.6973417 16.8564999 24.211737 29.842722 34.956532 31.266987 40.991929 38.689421 5.681889 49.170992 25.0553847 27.725962 37.406632 30.440544 21.221921
65621 37.729258 23.389000 28.936317 34.810448 44.397354 23.288170 24.160156 37.136754 29.200080 26.205886 48.654241 30.075809 40.876135 39.004953 31.61883 24.327012 34.65109 38.704966 26.882465 25.846242 30.137877 9.847791 32.641224 24.1499328 31.614647 22.187493 36.882744 39.352231 16.852047 29.3700224 32.578229 11.344965 32.453704 28.6437666 32.061526 44.931488 31.146443 39.049583 17.791090 20.731528 35.082420 24.647996 31.473775 30.588305 21.654456 31.377094 37.570701 22.174369 49.298583 41.802158 38.0431412 44.0712025 27.679911 52.035282 29.064620 48.153288 30.238922 33.472780 22.848701 43.601485 39.5641094 33.920210 12.497092 16.484262 36.818317
74273 28.289810 33.797460 26.940969 36.949404 25.678321 28.875113 14.951376 30.020416 25.362534 30.492674 22.834713 12.711211 28.218745 29.370046 30.47144 26.843410 21.95688 31.251403 32.959521 19.951130 17.870348 37.545932 43.076429 34.2343541 30.265304 26.376506 39.267700 30.697458 19.647339 22.3561633 24.022230 26.568069 27.934401 14.4051043 29.636509 27.865697 28.863034 30.830228 30.617296 21.282106 23.974280 32.640838 31.106086 41.364706 25.357953 21.955728 30.813589 27.478661 31.337203 32.414419 21.3800008 25.7773464 25.446181 36.622767 21.077852 32.739194 39.329647 15.987173 26.286769 29.879658 29.2711115 28.761054 30.129570 22.654712 23.830844
74964 31.426953 21.121839 22.788261 43.616202 34.410021 33.043397 16.091602 46.478282 22.703531 64.211894 38.752277 25.478150 37.728504 18.514646 26.02207 39.746133 21.38252 52.194283 54.414264 28.130006 33.340042 29.098624 23.670634 18.4056440 14.534439 14.816415 24.020566 34.946548 45.978237 52.9645210 7.498271 28.752010 28.421111 29.2214282 34.553647 35.098711 43.995032 28.070393 31.623873 18.679434 48.079830 33.271519 30.565277 32.306379 14.412573 33.175714 27.967459 35.764320 21.011698 49.353693 25.0162159 32.9703660 15.062334 29.097836 45.018400 45.798867 26.878044 24.383638 53.857579 26.416880 38.2671974 44.061646 36.965552 40.473530 36.741940
78117 37.059206 16.938009 29.067661 39.484764 20.047391 32.227505 40.783448 34.392869 36.367919 30.085753 34.684814 26.405813 32.013253 27.302223 33.97277 38.343902 30.85742 44.406147 23.140190 23.116048 34.847397 30.801247 39.048778 27.2234931 34.928416 29.947328 26.716688 22.446109 22.511472 27.5377405 40.527762 38.076820 41.773025 39.0697252 40.979666 34.781350 33.913987 23.907904 44.666833 29.928083 22.137037 28.076220 46.037212 23.611098 18.446463 40.281056 28.357520 22.069837 32.439730 40.865600 20.1878897 29.5611716 19.382578 28.498412 17.585141 36.407753 38.617597 26.584335 47.281272 9.822214 18.8588856 33.773597 38.222133 39.593010 31.663146
55187 26.976510 15.313752 10.229018 39.274322 30.438895 44.865144 31.212583 40.253072 24.028005 43.808502 47.706980 19.107535 42.240739 -2.022534 46.39542 35.444974 19.85022 37.288160 39.833310 36.049478 30.529963 37.099289 35.335234 15.2133774 25.719795 40.899197 24.189297 44.409443 43.016480 15.2530517 30.864204 34.622451 30.119600 37.6275214 12.579097 32.019924 39.981802 26.586554 40.626780 19.640159 12.836968 22.280318 40.337359 15.791771 43.105703 33.467789 18.507882 40.827355 30.951772 32.233685 22.2824568 43.4786574 34.113542 28.550853 23.111092 26.080747 38.833533 26.414053 30.663243 18.788384 10.8657566 40.171025 41.106431 35.111715 50.817886
53463 40.157826 40.597000 25.482967 36.726319 42.497485 22.433555 31.360664 27.345088 28.456448 16.553506 27.542258 33.301311 18.234562 23.365629 26.69755 22.907874 35.62081 17.627568 23.557458 21.691340 36.451806 42.976627 34.351411 36.4220520 37.325492 42.512392 43.772195 34.687603 44.594904 25.5104720 41.431226 39.125282 26.493149 37.5106371 42.628840 38.246091 27.731242 44.244793 29.601617 44.216405 26.709192 38.126581 29.375288 25.261909 31.552609 45.796025 41.370352 31.615271 34.488885 31.524862 45.1022280 12.5429937 33.156820 51.430551 26.671086 26.108048 33.852486 38.451940 20.416589 36.718216 26.6383669 28.476352 31.184716 35.419578 5.346876
38409 44.382295 30.775569 34.885273 29.300884 30.007666 33.250024 31.370286 32.430734 38.802300 21.220211 31.596908 30.179286 30.764025 49.809604 18.49711 42.831231 35.62164 28.862823 29.674184 31.679057 49.280881 34.657057 24.287172 36.7330465 33.097529 32.942602 36.405683 28.223764 34.694463 41.9151216 41.883707 52.319555 24.583550 37.3968382 38.072617 31.030010 27.999621 37.985038 37.238210 27.441556 26.501710 36.196931 30.217365 34.493447 31.387171 37.197101 22.137343 32.634628 26.529946 29.080983 45.1696905 30.2463251 32.096728 45.821272 43.810464 36.345250 25.475695 21.503229 34.604571 27.910554 30.9585496 32.161714 37.660161 29.851742 24.726349
37040 16.897983 32.797046 19.311377 20.447021 41.783192 25.933896 34.343294 41.703542 23.884913 20.856252 25.766433 17.372917 15.615150 26.935013 25.81640 25.331216 45.04846 40.296379 23.009826 26.728696 38.508044 29.314090 36.644314 47.7918869 37.925568 26.334001 37.799670 11.964815 42.666109 25.2184344 52.598937 33.859616 27.041044 29.8346469 42.346615 41.938724 20.131763 22.918550 25.445327 30.001986 24.512197 33.423884 23.256390 25.807480 33.212837 21.719591 7.362949 38.317133 37.403305 42.419762 26.8867093 21.7080391 22.470592 39.101399 33.333421 39.792067 28.081647 15.895234 28.566038 36.176368 21.1423712 21.540080 26.839014 30.491408 12.065682


If you’ve had a little poke around, you’ve probably noticed that this dataset is not an example of meticulous organisation. The names are all over the place and there doesn’t seem to be any system. The dataset actually contains (1) the ID variable and (2) various subscales of 5 major psychology scales:

  • Cognitive Assessment Scale (CAS)

  • Kindness Evaluation and Empathetic Performance (KEEP)

  • State-Trait Anxiety Inventory (STAI)

  • Statistics Anxiety Rating Scale (STARS)

  • Yale Open Upregulation Encoding (YOURE)

Luckily, whoever organised this dataset had a shred of decency left and named each subscale so it begins with the abbreviation of its main scale. So the subscales related to the Cognitive Assessment Scale will begin with “cas”, Statistics Anxiety Rating Scale will being with “stars”, and so on.

Task 8

Run correlation tests between the subscales of the Kindness Evaluation and Empathetic Performance and the Yale Open Upregulation Encoding.

  1. Select the correct columns from scales_tib that contain information about the relevant subscales. Save the new version of the dataset into an object called scales_yk_tib.
  2. Run correlation tests between all the subscales in the object scales_yk_tib. You can use any method here, but correlation::correlation will probably be easier to read.
  3. Save the correlation table in to an object called scales_cor
  4. Find out a pair of variables that have the highest correlation.

Your first step in completing this task should be to select the relevant columns. This can be done manually, just like we did in Task 2:

gensex_test <- readr::read_csv("data/gensex_messy.csv")

The code above just re-reads the data and changes the name because we have previously over-written it. This way we can make changes again and test out some new code:

gensex_1 <- gensex_test |> 
  dplyr::select(gender_comfortable, gender_masc,
                gender_fem, gender_stability)

This way only 4 variables remain in the dataset. This is all nice and well if we only have 4 variables. But the more variables we need to select, the more tedious the task becomes. If the variables in the dataset are not organised nicely, we can easily miss variables if we do things manually. 1

Lucky for us, we have these three champion functions to help us:

  • dplyr::contains()
  • dplyr::starts_with()
  • dplyr::ends_with()

When we use dplyr::filter(), we can specify conditions based on which we keep or remove rows. Similarly, we can use the functions above to specify conditions based on which we keep or remove columns with dplyr::select(). We could, for example, only keep columns that contain a certain phrase in the column name, or whose name starts or ends with a specific word/string of letters.

Let’s say that we only want to keep columns relevant to gender variables as before. We could run:

gensex_test |> 
  dplyr::select(starts_with("gender_"))

The dataset also has different measures of gender, which tend to end with the string “_gender”. If we wanted to pick these variables, we could run:

gensex_test |> 
  dplyr::select(ends_with("_gender"))

Finally, if we want any variable that has “gender” in the name we can run:

gensex_test |> 
  dplyr::select(contains("gender"))

contains is the least selective of these variables. Try running the examples above in your notebook to see the difference.

We can also combine conditions. Say that we want to keep variables that start with the word “gender” or “romantic.” We would run:

gensex_test |> 
  dplyr::select(starts_with("gender_"), starts_with("romantic"))

You now possess the knowledge necessary for completing the ChallengR task without losing your mind.

If you’re finding the output difficult to navigate, you can run the following code in your notebook. It will sort the output by size of the correlation coefficient. If you completed the task correctly, the highest correlation will be the very last row and will spell out an important message for you.

scales_cor |> 
  dplyr::arrange(r)

The passcode is the name of the two variables as you see them written out in the output, separated by this symbol: |

Remove any spaces. Once you have the passcode, you can submit it in the Week 6 ChallengR quiz on Canvas. Good luck, and well done again!

Footnotes

  1. Never do by hand what can be done by code! It’s much more fun to spend hours trying to figure out how to write the code, inevitably taking longer that you would have had you completed the task manually.↩︎