A review of probability distributions in R and Reporting

03/29/2021

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Outline

  • The following topics will be covered in this lecture:

    • The binomial distribution in R
    • The uniform distribution in R
    • The normal distribution in R
    • Data analysis reports in RMarkdown
    • Typesetting in Markdown
    • Using code in RMarkdown
    • Resources on RMarkdown

Motivation

  • We have now learned about the fundamentals of theoretical probabilistic models.

  • Particularly, we have learned about the:

    • probability distribution;
    • probability mass / density function; and
    • cumulative probability distribution function;

  • for discrete and continuous random variables.

  • We have also learned about several fundamental probability distributions:

    • the binomial;
    • the uniform; and
    • the normal.

  • We will begin to combine these models with data to produce statistical inference.

  • Our goal in this course is to use statistics from a small, representative sample to say something general about the larger, unobservable population or phenomena.

  • The process of saying something general from the smaller representative sample, while qualifying our uncertainty, is what we mean by statistical inference.

Motivation continued

  • Classical statistics used technology like z-scores and z-score tables to simplify this complex analysis.

  • Z-scores, while fundamental to our understanding, are also just a piece of technology;

    • we also these days have access to powerful computational technology in the form of free and open source software (FOSS) such as the R language.

  • For most basic statistical analysis, any standard consumer laptop is sufficient;

    • with free and open source software like R, this puts the tools of modern statistical analysis in the reach of all students.

  • At this point in the course, we will begin to emphasize more of the applied aspects of statistics, utilizing the R language.

  • This will build on the R language exercises seen in DataCamp, but will focus more on the mathematics and using R as a calculator, rather than doing formal programming.

  • Formal programming and numerical method development can be seen instead in, e.g., my STAT 445 / 645 Fall 2021.

  • In this lecture, we will review the theoretical ideas so-far encountered, but with R as a calculator.

  • Secondly, we will introduce concepts of descriptive statistics using R.

Binomial random variables

  • The R language has generic functions for the binomial distribution.

    • dbinom(x, size, prob) is the probability mass function of the binomial; that is to say,
    • for x being some number of successes,
    • with size=n total trials and
    • probability of success prob=p,
    • we have dbinom(x, size, prob) is equal to

    \[ \begin{align} P(X=x) = \frac{n!}{(n-x)!x!} p^x q^{n-x} \end{align} \]

    • For two coin flips of a fair coin, \( X \) being the number of heads,
dbinom(0, size=2, prob=0.5)

[1] 0.25

dbinom(1, size=2, prob=0.5)

[1] 0.5

dbinom(2, size=2, prob=0.5)

[1] 0.25

Binomial random variables

  • pbinom(q, size, prob) is the cumulative probability function of the binomial.

    • We have pbinom(x, size, prob) is equal to

    \[ \begin{align} P(X\leq x) = \sum_{k=0}^xP(X=x) = \sum_{k=0}^x\frac{n!}{(n-k)!k!} p^x q^{n-k} \end{align} \]

pbinom(0, size=2, prob=0.5)

[1] 0.25

pbinom(1, size=2, prob=0.5)

[1] 0.75

pbinom(2, size=2, prob=0.5)

[1] 1

Binomial random variables

  • Finally, a key tool for computational statistics is that we can also simulate the random variable \( X \).
    • rbinom(n, size, prob) randomly generates a sample of size n from the binomial.
    • This can be considered to create a n total independent replications of a binomial experiment with a fixed probability of success p;
    • For example, if \( X \) is the number of heads from a fair coin flip,
    • then rbinom(n=10, size=2, prob=0.5) replicates the 2 coin flips 10 times.
rbinom(10, size=2, prob=0.5)

 [1] 1 1 0 0 2 1 1 1 0 0
  • because they are random trials, each time we run the function will almost surely give a different output:
rbinom(10, size=2, prob=0.5)

 [1] 1 1 0 1 2 2 1 0 2 1

Binomial random variables

  • We can fix an output by setting a “pseudo-random seed”
set.seed(123)
rbinom(10, size=2, prob=0.5)

 [1] 1 2 1 2 2 0 1 2 1 1

set.seed(123)
rbinom(10, size=2, prob=0.5)

 [1] 1 2 1 2 2 0 1 2 1 1
  • This causes a non-random output to be generated, but one which looks “close-to-random” while generating a reproducible simulation.

Binomial random variables

  • We can plot the entire probability distribution as a histogram as in the following:
par(cex = 2.0, mar = c(5, 4, 4, 2) + 0.3)
f = dbinom(x=-1:11, size=10, prob=0.2)
plot(x=-1:11, f, type = "s", main = "n=10   p=0.2", xlab = "x", ylab = "Prob.", xlim=c(0,10))

plot of chunk unnamed-chunk-6

  • Here, we set the number of successes as a vector, so that the output will be the vector of probability mass values for each possible number of successes.

Binomial random variables

  • Notice how the histogram of the probability changes for different values of of the probability of success:
par(cex = 2.0, mar = c(5, 4, 4, 2) + 0.3)
f = dbinom(x=-1:11, size=10, prob=0.5)
plot(x=-1:11, f, type = "s", main = "n=10   p=0.5", xlab = "x", ylab = "Prob.", xlim=c(0,10))

plot of chunk unnamed-chunk-7

  • While the distribution was skewed in the case that the probability of success was lower than the probability of failure, when they are equal we recover a symmetric distribution.

Binomial random variables

  • This can be understood again as this corresponds to the area under the mass curve for \( n=10 \) for either \( p=0.2 \) or \( p=0.6 \):

plot of chunk unnamed-chunk-8

plot of chunk unnamed-chunk-9

Binomial random variables

  • We note that the earlier pictures plotted the theoretical values of the probability mass function.

  • This differs from plotting the observational data from an experiment.

  • Let's suppose we draw a random sample, of size 10,

  • i.e., we have replicated a binomial experiment 10 times and recorded the results.

sample_10 = rbinom(10, size=10, prob=0.6)
sample_10

 [1] 3 6 5 6 8 4 7 9 7 3

Binomial random variables

  • If we compare the density plot of the observations versus the probability mass function we see:

plot of chunk unnamed-chunk-11plot of chunk unnamed-chunk-11

Binomial random variables

  • Let's suppose instead we draw a random sample, of size 100000,

  • i.e., we have replicated a binomial experiment one-hundred-thousand times and recorded the results.

sample_100000 = rbinom(100000, size=10, prob=0.6)
sample_100000

     [1]  4  5  5  2  5  5  6  6  7  8  3  4  5  5  9  6  5  7  7  7  8  6  6  7
    [25]  8  8  7  6  7  4  9  6  5  8  6  7  8  5  4  7  5  8  6  7  5  6  5  5
    [49]  5  6  5  6  5 10  6  7  7  6  7  8  7  5  6  5  8  6  3  4  4  7  8  5
    [73]  7  5  7  7  5  8  6  6  6  7  6  3  6  4  4  6  6  8  4  7  8  3  5  8
    [97]  6  3  6  6  5  7  7  7  7  3  8  8  8  5  6  4  5  5  6  5  5  5  3  6
   [121]  7  6  9  7  4  7  7  8  7  5  4  6  6  7  8  6  6  7  6  7  6  7  5  7
   [145]  7  6  5  7  6  7  6  7  4  5  5  6  7  6  4  6  4  7  5  7  6  6  7  6
   [169]  4  4  7  7  3  6  4  6  6  5  8  6  7  3  6  6  6  4  7  7  7  7  6  7
   [193]  7  5  8  5  7  6  5  4  7  3  5  5  8  6  6  6  5  4  6  6  6  8  7  6
   [217]  7  5  8  5  6  5  7  6  7  5  6  3  3  5  7  7  6  7  6  5  7  6  6  4
   [241]  4  4  5  3  6  6  7  7  9  6  4  9  8  8  5  5  3  6  8  5  5  8  6  7
   [265]  8  6  8  7  8  5  7  8  8  4  5  5  3  8  8  5  5  9  5  5  6  6  8  9
   [289]  6  6  6  6  5  8  7  5  4  7  7  4  4  7  8  5  8  9  1  9  7  4  6  7
   [313]  5  4  7  6  5  5  5  3  6  8  6  7  6  7  3  6  7  6  8  3  6  8  6  3
   [337]  5  6  7  4  8  7  4  7  7  5  7  9  6  6  6  7  4  6  6  3  5  7  7  3
   [361]  6  5  7  5  6  4  7  7  8  7  3  7  5  5  8  7  7  8  8  2  3  8  4  6
   [385]  6  6  5  8  7  5  7  5  7  6  7  7  3  7  6  9  6  5  6  7  4  6  7  6
   [409]  8  4  3  6  7  2  7  6  8  6  8  8  7  6  5  8  4  5  5  8  7  5  6  7
   [433]  7  8  7  4  5  5  8  8  3  6  6  8  6  7  7  5  7  5  8  5  6  5  5  6
   [457]  6 10  7  5  7  5  7  5  4  8  8  5  6  4  3  8  6  5  8  2  7  8  5  5
   [481]  7  7  7  8  7  7  6  6  4  7  6  8  4  6  5  7  6  5  8  5  7  7  7  9
   [505]  6  5  4  9  2  7  4  5  6  5  9  5  7  5  6  7  5  8  5  7  5  3  8  4
   [529]  5  6  7  7  6  4  6  6  5  6  6  9  8  4  5  7  5  5  6  5  6  4  6  4
   [553]  6  6  3  5  6  9  6  6  4  5  4  7  4  8  7  5  3  6  6  8  3  8  8  4
   [577]  6  7  4  9  7  5  7  7  7  5  8  5  7  7  6  8  9  2  6  5  4  5  3  9
   [601]  4  4  5  7  9  7  7  4  7  7  5  4  6  5  8  7  3  5  5  6  6  5  4  6
   [625]  8  6  5  8  7  6  5  4  6  6  5  4  4  8  6  7  4  5  8  5  7  8  4  8
   [649]  5  7  9  6  8  7  6  6  5  7  6  6  5  5  5  4  3  6  6  7  6  7  9  5
   [673]  6  8  7  6  8  8  6  7  4  7  9  4  7  6  6  7  7  6  6  6  5  5  6  6
   [697]  9 10  2  8  6  5  5  4  6  5  4  6  5  9  6  4  5  4  7  7  5  2  7 10
   [721]  2  8  8  6  7  6  5  8  5  3  7  7  8  8  6  6  6  4  9  7  6  7  6  6
   [745]  6  8  8  6  5  5  4  5  5  5  8  7  7  6  5  5  7  5  9  5  5  6  7  9
   [769]  7  4  4  6  7  6  5  6  8  7  7  7  6  7  8  8  7  3  6  6  5  5  8  5
   [793]  7  4  5  8  7  8  6  6  5  7  6  2  5  8  6  8  7  5 10  5  6  5  5  6
   [817]  5  5  7  8  3  5  6  8  6  7  4  9  7  8  7  5  2  5  6  6  3  8  8  4
   [841]  6  9  5  6  6  7  8  8  6  6  8  7  5  6  4  5  9  5  4  6  8  4  5  8
   [865]  5  4  6  7  7  7  6  5  5  6  5  5  9  7  8  5  4  6  4  6  5  6  5  4
   [889]  5  8 10  8  4  6  7  3  6  6  6  7  5  9  7  4  5  5  7  6  8  5  4  7
   [913]  5  6  3  8  6  4  4  9  3  6  6  6  8  8  6  7  6  7  6  8  3  9  7  3
   [937]  5  8  6  6  6  6  6  8  4  6  6  8  5  6  5  9  5  7  7  5  3  9  7  6
   [961]  6  5  4  6  4  5  8  8  7  6  8  7  6  6  6  5  5  6  5  8  7  6  8  4
   [985]  4  6  5  7  8  6  6  7  7  6  9  5  6  5  6  7  6  5  6  6  5  7  6  6
  [1009]  7  6  7  6  6  8  6  6  8  6  6  6  5  5  6  6  7  8  6  9  4  2  5  5
  [1033]  4  6  6  7  5  7  7  5  5  7  7  7  8  5  6  8  3  6  5  4  4  5  5  6
  [1057]  7  9  6  7  6  7  7  6  5  7  8  9  5  6  5  8  8  8  5  5  2  6  7  7
  [1081]  5  5  7  5  4  6  6  4  3  5  8  5  6  6  7  7  6  4  7  6  7  7  5  7
  [1105]  8  8  4  6  8  6  6  5  5  6  5  5  7  7  6  7  5  6  8  3  7  6  6  6
  [1129]  7  8  4  6  5  4  6  7  8  4  6  7  7  7  6  7  8  8  5  7  8  3  6  6
  [1153]  5  4  7  6  5  6  8  5 10  7  5  4  5  8  6  5  5  6  8  6  6  5  9  7
  [1177]  4  8  3  6  4  4  6  5  6  2  8  8  5  6  6  1  7  6  8  5  7  5  7  3
  [1201]  7  6  8  4  3  9  6  7  4  6 10  7  7  6  7  9  8  5  4  7  8  7  6  6
  [1225]  5  7  6  9  7  5  5  6  6 10  8  4  8  7  3  6  7  6  9  8  5  8  6  4
  [1249]  8  3  9  5  6  6  4  6  5  6  7  6  7  4  6  5  6  7  5  6  7  6  5  6
  [1273]  7  4  7  7  5  5  4  6  9  6  6  4  5  6  8  8  5  8  7  7  4  7  5  8
  [1297]  5  7  6  9  5  7  4  7  3  6  6  6  9  5  6  7  6  6  6  7  5  5  4  6
  [1321]  7  6  6  7  5  3  7  5  6  6  9 10  8  9  8  6  7  5  7  6  5  8  4  6
  [1345]  7  7  8  6  8  7  7  7  6  6  5  5  7  3  9  6  6  7  4  8  4  7  7  4
  [1369]  8  7  2  5  6  7  6  5  5  6  8  7  7  7  8  6  7  5  6  3  8  3  5  4
  [1393]  6  8  7  5  6  7  5  7  4  6  6  4  6  8  6  3  4  6  4  7  5  5  6  7
  [1417]  5  4  5  6  8  6  9  6  5  5  8  6  6  7  6  5  5  8  6  5  7  5  4  8
  [1441]  3  5  5  7  9  4  4  8  6  6  5  8  5  6  6  5  6  1  4  5  5  8  4  5
  [1465]  2  8  5  6  6  5  9  9  2  5  7  5  2  7  5  6  4  2  6  7  5  6  6  6
  [1489]  6  6  6  3  4  7  6  6  9  7  6  7  5  9  5  6  5  9  9  6  5  7  5  5
  [1513]  4  6  6  7  7  7  4  6  8  5  7  6  5  7  8  6  6  3  3  8  6  6  6  7
  [1537]  5  7  6  2  5  7  5  7  6  8  8  4  8  4  7  9  5  7  9  5  9  6  7  6
  [1561]  5  8  7  8  5  6  6  6  6  7  5  4  5  6  7  8  6  7  5  7  5  8  7  5
  [1585]  5  9  4  8  6  6  6  5  6  2  3  6  6  7  6  7  9  9  8  5  6  4  6  7
  [1609]  6  4  5  6  6  5  4  4  7  7  8  5  8  5  5  4  6  4  5  4  6  8  7  5
  [1633]  7  6  9  6  8  4  8  5  4  9  7  5  5  6  4  6  6  7  6  6  9  5  7  5
  [1657]  6  5  6  7  7  6  2  7  7  9  6  6  5  3  6  8  7  4  4  4  3  5  6  7
  [1681]  5  8  6  4  4  5  8  6  2  6  7  8  8  4  7  3  6  6  3  8  5  7  6  7
  [1705]  8  5  7  5  6  7  2  6  9  4  4  6  7  5  3  4  8  3  6 10  8 10  5  5
  [1729]  4  7  3  5  5  6  3  6  4  6  6  4  5  9  8  6  6  2  4  7  5  4  5  5
  [1753]  8  6  7  6  7  7  5  6  8  7  5  6  8  8  3  7  5  4  7  9  6  4  7  7
  [1777]  5  3  6  6  8  4  7  5  6  8  3  6  4  6  7  6  5  5  6  6  6  6  6 10
  [1801]  2  6  8  4  6  4  9  4  5  5  4  6  4  7  9  7  5  7  4  5  7  6  6  5
  [1825]  6  9  5  7  5  7  4  4  6  8  6  6  2  7  5  4  6  5  8  4  6  7  6  4
  [1849]  6  5  7  5  7  7  7  4  6  8  4  7  4  8  7  7  9  5  7  6  7  6  6  2
  [1873]  7  5  3  6  6  5  8  6  6  7  8  4  6  6  6  5  5  6  8  6  6  6  6  8
  [1897]  8  5  5  8  5  6  2  6  6  7  6  8  6  3  6  6  9  9  8  8  6  5  7  5
  [1921]  6  7  9  5  8  4  8  5  4  7  8  5  7  7  6  6  7  5  6  8  2  7  8  7
  [1945]  7  7  7  9  4  6  7  4  6  6  5  5  8  7  3  7  5  6  8  7  5  8  6  6
  [1969]  6  7  6  8  4  8  8  4  7  5  6  6  8  8  8  6  6  6  6  8 10  7  4  7
  [1993]  6  6  2  7  5  7  7 10  2  6  2  7  8  7  5  6  6  5  6  6  6  7  8  5
  [2017]  6  3  3  5  6  7  6  5  4  4  5  7  8  6  6  8  3  8  4  8  5  5  5  5
  [2041]  8  4  6  4  7  9  7  7  5  4  8  4  6  6  5  5  6  6  3  8  8  5  5  8
  [2065]  6  5  6  2  5  7  8  7  8  9  7  5  3  6  6  8  6  7  6  3  5  5  7  7
  [2089]  4  4  5  7  7  6  6  7  5  9  5  4  4  5  7  7  4  9  4  6  6  4  8  7
  [2113]  8  8  5  6  6  5  3  6  5  7  7  8  8  8  7  6  5  5  7  3  5  8  7  7
  [2137]  6  5  7  6  3  8  6  5  6  2  9  2  5  6  8  6  7  6  5  8  7  4  9  5
  [2161]  3  5  9  6  5  9  4  5  7  5  5  7  5  4  4  5  5  6  6  8  5  5  5  9
  [2185]  7  6  8  5  6  7  6  5  8  8  6  8  8  5  6  7  7  6  5  8  2  9  7  7
  [2209]  4  7  5  4  6  5  7  6  4  7  9  3  7  5  8  3  4  4  6  5  7  7  1  3
  [2233]  6  5  7  7  6  7  8  3  5  4  6  8  5  9  8  4  8  7  7  7  7  9  4  3
  [2257]  4  6  6  8  7  4  7  6  6  7  6  8  6  6  7  4  7  6  4  7  7  4  6  4
  [2281]  6  4  7  6  5  7  6  5  4  7  6 10  7  5  6  5  8  5  7  6  5  6  7  5
  [2305]  6  7  6  8  7  6  9  7  5  5  5  8  8  3  4  4  5  8  4  4  7  8  6  7
  [2329]  6  6  5  5  7  5  6  8  9  7  7  6  6  5  7  4  6  7  7  5  5  6  4  6
  [2353]  7  6  7  7  4  6  9  4  7  9  3  7  3  8  6  5  7  5  6  9  7  6  4  2
  [2377]  7  6  5  4  5  6  7  4  5  7  7  5  5  6  4  5  8  9  4  8  7  6  6  7
  [2401]  6  5  7  7  6  6  8  4  6  5  5  6  9  5  8  6  8  5  8  5  5  7  8  8
  [2425]  9  5  7  8  7  6  5  7  8  5  4  2  5  7  5  6  7  6  3  7  6  7  9  8
  [2449]  6  8  9  7  7  6  7  6  5  7  4  7  7  7  5  7  4  8  7  6  7  5  5  7
  [2473]  6  4  5  4  4  7  5  8  4  5  5  7  5  6  5  5  4  6  8  7  8  7  5  6
  [2497]  6  5  6  7  5  5  5  7  6  3  7  8  6  3  4  6  5  6  4  8  6  5  4  4
  [2521]  5  8  5  5  5  4  6  3  6  7  6  8  6  6  5  6  6  7  6  7  7  4  6  6
  [2545]  6  5  9  7  8  5  6  6  6  6  8  9  9  8  7  5  5  8  3  8  6  6  4  5
  [2569]  6  6  6  5  6  8  7  4  6  5  5  7  7  6  7  4  8  8  5  7  5  6  5  7
  [2593]  8  6  6  5  7  6  6  4  4  8  7  5  5  6  7  8  7  9  5  5  7  6  9  8
  [2617]  4  6  5  6  7  4  9  7  3  5  1  7  6  8  5  4  4  9  7  6  7  5  9  5
  [2641]  7  7  5  7  6  5  6  6  6  8  9  8  5  8  8  9  6  4  7  6  6  7  4  4
  [2665]  7  5  7  4  8  2  7  7  8  6  5  2  7  5  6  3  6  5  8  6  7  4  5  4
  [2689]  5  6  3  6  6  7  8  4  7  7  5  6  3  8  6  4  4  4  5  8  8  8  6  5
  [2713]  4  6  5  6  5  5  5  4  7  7  8  9  4  5  8  8  7  6  5  8  8  6  7  6
  [2737]  8  4  5  6  5  7  5  7  5  6  5  7  5  6  9  7  6  6  6  4  5  8  8  7
  [2761]  7  5  8  3  4  6  4  9  5  4  8  6  5  6  4  6  6  5  7  4  8  6  7  8
  [2785]  5  6  7  4  6  3  4  6  5  5  4  8  9  2  6  5  6  6  5  4  8  7  5  7
  [2809]  6  7  6  6  5  5  6  7  5  6  5  4  6  6  4  5  6  5  5  7  7  7  4  7
  [2833]  6  9  5  6  6  4  6  5  5  7  8  7  5  5  5  4 10  7  5  8  9  8  5  4
  [2857]  7  7  7  3  6  5  4  6  7  4  5  9  5  4  8  3  9  7  9  6  5  5  6  8
  [2881]  3  6  5  7  5  6  4  6  7  5  5  6  5  7  4  6  5  5  5  5  7  6  5  7
  [2905]  5  8  5  4  5  5  6  8  6  8  5  7  6  6  7  6  6  4  8  8  8  4  6  5
  [2929]  9  6  9  6  4  7  7  4  9  5  6  8  4  7  5  6  5  7  4  8  7  7  5  6
  [2953]  7  8  6  6  3  8  4  9  5  7  8  7  7  4  2  7  8  5  6  7  5  7  4  8
  [2977]  4  8  6  5  7  4  7  6  7  5  5  6  4  5  3  5  5  9  7  9  4  6  5  8
  [3001]  6  5  8  7  5  4  4  3  6  3  5  6  6  7  5  6  6  8  7  4  6  9  6  8
  [3025]  7  5  7  5  6  5  6  7  4  8  8  4  6  5  5  3  3  8  5  9  6  5  7  3
  [3049]  5  6  4  5  6  7  6  4  6  5  5  5  4  8  6  7  6  7  4  6  6  8  4  5
  [3073]  6  7  5  6  8  8  6  7  6  3  7  5  8  6  5  8  5  7  8  8  5  5  8  3
  [3097]  8  4  5  6  7  7  4  4  6  4  5  6  7  3  8  5  5  7  6  8  6  7  6  5
  [3121]  4  7  7  7  7  8  7  4  8  6  5  4  6  7  6  8  6  8  7  5  7  6  5  7
  [3145]  8  5  5  6  7  7  6  9  7  5  7  9  3  8  5  4  9  4  6  7  7  5  8  7
  [3169]  6  5  6  5  7  4  3  5  9  6  5  7  6  6  5  7  7  6  7  6  9  6  6  9
  [3193]  2  6  4  6  3  7  5  9  4  8  5  6  5  5  7  5  7  6  8  7  6  6  5  6
  [3217]  4  6  6  6  7  6  1  4  5  4  4  6  7  5  6 10  5  6  3  8  7  4  5  6
  [3241]  9  7  7  5  8  3  4  7  6  7  7  7  4  7  4  5  7  7  5  6  8  8  7  6
  [3265]  3  6  4  8  4  7  7  8  9  8  8  7  5  9  6  4  9  7  6  6  4  6  5  6
  [3289]  7  6  8  5  7  4  6  7  5  8  9  6  4  6  6  7  5  6  8  5  7  6  7  8
  [3313]  4  6  4  8  5  6  3  6  7  4  4  6  6  5  7  5  5  6  4  8  5  6  7  6
  [3337]  7  5  4  6  5  6  5  4  7  6  4  6  7  5  5  5  7  3  9  4  8  4  6  6
  [3361]  5  7  9  8  8  7  3  7  7  5  5  7  7  6  6  4  6  6  6  6  6  7  7  7
  [3385] 10  7  3  6  3  7  8  6  6  4  4  6  4  7  4  8  8  6  2  6  8  7  5  5
  [3409]  6  5  7  6  7  6  8  7  3  2  6  9  6  5  6  6  7  8  8  7  6  7  9  7
  [3433]  8  7  8  7  8  6  6  8  4  6  8  7  5  4  5  6  8  8  6  6  5  5  6  6
  [3457]  6  7  6  3  6  6  7  6  6  7  3  4  5  5  7  8  8  4  7  5  4  5  6  8
  [3481]  7  6  5  7  6  6  8  9  5  4  4  8  5  6  6  8  7  7  5  7  8  6  8  6
  [3505]  6  6  6  5  2  4  8  4  6  5  5  6  4  7  6  8  7  4  6  6  3  3  5  5
  [3529]  9  5  4  6  5  5  6  4  6  9  6  6  6  6  7  5  6  3  7  3  6  5  4  5
  [3553]  5  2  4  5  8  8  6  7  5  6  8  4  4  7  8  5  6  8  6  6  6  6  6  4
  [3577]  5  3  8  6  8  6  7  6  6  5  4  6  4  7  6  6  5  7  6  7  6  6  8  5
  [3601]  6  5  7  7  6  3  7  7  7  6  6  7  7  5  4  6  6  6  5  5  8  8  4  6
  [3625]  6  3  7  7  6  4  5  8  8  5  3  6  6  5  4  6  6  5  7  4  9  7  8  7
  [3649]  6  5  5  6  9  4  4  6  4  6  8  8  5  4  8  4  6  8  5  3  5  7  7  7
  [3673]  7  7  8  8  6  5  8  8 10  8  4  8  2  5  7  7  5  6  6  7  4  5  5  7
  [3697]  6  3  9  6  4  7  7  4  8  6  6  8  6  7  4  5  8  8  7  4  4  7  4  8
  [3721]  4  8  3  8  6  5  7  9  5  7  4  6  2  8  9  6  6 10  5  8  6  4  8  3
  [3745]  5  4  7  2  5  7  5  3  4  8  8  5  4  9  7  5  8  9  4  8  4  8  6  7
  [3769]  5  6  7  6  6  4  6  4  6  5  5  7  4  6  7  6  6  4  3  6  7  7 10  5
  [3793]  5  9  7  6  8  7  4  7  2  5  8  6  4  5  6  6  6  7  4  8  6  6  7  3
  [3817]  7  9  5  6  9  7  4  7  8  5  6  6  6  4  4  7  6  9  6  8  5  8  7  5
  [3841]  6  6  4  5  5  6  8  5  5  4  8  5  7  7  4  7  9  5  9  5  4  8  7  5
  [3865]  4  7  6  6  5  7  5  7  7 10  7  6  7  7  2  7  6  8  5  6  7  6  6  5
  [3889]  4  5  7  5  6  9  5  6  7  9  3  2  8  6  3  8  7  6  4  6  9  4  5  4
  [3913]  5 10  8  4  7  9  6  5  4  8  7  6  6  6  4  3  8  7  5  2  5  8  8  7
  [3937]  7  7  5  7  6  5  4  5  7  9  9  7  4  9  7  4  6  5  3  5  6  3  4  6
  [3961]  8  6  5  8  6  3  7  6  8  7  6  7  6  3  6  8  5  5  7  6  7  5  6  5
  [3985]  7  8  4  9  6  3  7  3  9  7  7  3  3  5  7  6  7  5  5  6  5  5  5  6
  [4009]  6  5  4  6  8  6  6  4  7  5  5  5  6  6  4  6  3  8  6  7  7  4  7  6
  [4033]  6  7  6  5  3  8  8  6  8  7  7  7  5  5  5  7  7  6  6  6  6  8  4  2
  [4057]  4  4  7  6  6  9  5  4  8  4  7  5  5  5  7  7  6  8  6  6  7  3  8  6
  [4081]  6  8  7  1  5  7  4  5  6  5  5  7  6  6  5  7  6  6  6  4  4  5  8  7
  [4105]  4  4  5  5  6  9  7  6  6  4  5 10  9  7  7  5  5  5  6  7  7  5  7  7
  [4129]  6  8  8  9  5  5  9  6  7  6  7  3  8  8  8  7  6  7  6  6  7  3  9  4
  [4153]  8  7  6  5  7  8  7  7  4  5  6  4  8  7  7  9  6  5  7  5  7  5  6  8
  [4177]  5  4  6  6  6  8  5  6  5  6  6  4  5  8  8  5  6  6  7  6  6  7  5  7
  [4201]  6  6  7  7  7  6  6  6  4  7  7  6  7  4  6  6  7  9  6  7  6  5  7  8
  [4225]  5  7  5  9  4  5  4  7  7  4  7  4  6  6  5  6  7  6  7  5  7  4  4  6
  [4249]  9  4  6  5  6  6  8  8  5  7  9  8  5  5  8  5  9  6  7  6  6  6  7  7
  [4273]  7  7  6  9  8  6  6  6  5  0  3  3  5  5  3  7  5  8  6  5  9  8  8  5
  [4297]  7  6  5  7  7  7  5  6  8  7  6  6  6  7  7  4  6  6  7  6  5  7  6  7
  [4321]  6  4  9  6  7  6  8  5  8  7  7  6  6  2  6  7  4  7  5  4  4  8  7  6
  [4345]  7  4  4  5  6  5  8  7  7  5  4  5  7  9  6  5  6  7  7  7  7  6  5  6
  [4369]  6  5  4  3  6  5  7  8  6  5  5  6  2  2  7  7  7  6  5  5  4  5  7  7
  [4393]  5  7  7  4  7  8  5  6  6  5  5  5  7  3  3  9  5  7  7  9  5  8  8  5
  [4417]  6  9  4  5  6  8  5  5  6  7  9  7  7  6  6  7  4  5  7  5  6  6  7  9
  [4441]  8  6  7  9  4  4  5  6  5  5  4  5  7  6  5  6  6  7  8  7  7  7  6  4
  [4465]  6  7  7  6  8  5  9  9  5  7  6  8  5  6  8  6  8  6  6  6  8  7  9  7
  [4489]  5  5  5  8  8  5  6  7  8  8  6  6  6  4  7  5  7  8  8  4  5  6  5  5
  [4513]  5  4  7  6  9  8  5  5  6  7  6  9  4  5  7  6  4  7  7  5  7  8  6  7
  [4537]  5  6  6  8  7  6  6  8 10  4  7  3  5  4  6  4  5  7  5  4  5  5  5  8
  [4561]  9  7  6  3  3  5  7  6  5  4  6  8  5  4  6  7  7  9  6  6  6  4  6  7
  [4585]  6  8  5  5  7  7  4  7  3  5  4  5  7  7  9  4  6  7  5  5  5  6  8  4
  [4609]  8  5  6  6  5  6  5  4  5  6  8  5  8  8  9  5  5  7  5  5  6  3  8  8
  [4633]  4  4  7  6  3  8  5  6  4  5  6  8  6  6  8  5  7  5  6  6  6  8  6  8
  [4657]  6  5  6  7  7  9  7  5  8  3  5  4  6  7  6  8  7  7  6  5  8  6  8  6
  [4681]  9  5  4  7  6  6  8  5  4  3  5 10  5  7  6 10  7  7  6  5  5  7  5  7
  [4705]  4  5  7  7  8  4  6  4  1  6  7  5  4  3  6  5  7  6  7  5  6  5  3  8
  [4729]  6  5  5  4  5  4  3  6  5  6  8  6  8  6  8  5 10  8  4  3  7  5  5  6
  [4753]  4  5  7  8  6  6  5  5  6  6  7  6  5  7  5  5  6  7  8  6  5  6  4  9
  [4777]  4  6  5  6  7  6  7  8  7  7  7  9  5  6  6  8  9  7  9  4  6  5  6  8
  [4801]  9  6  7  5  6  6  4  8  9  6  8  7  8  8  6  8  6  5  7  5  8  6  7  7
  [4825]  7  6  6  5  3  6  7  5  6  8  7  8  8  5  5  6  8  4  2  9  6  5  6  7
  [4849]  6  7  3  5  5  9  6  6  8  7  8  6  7  6  4  6  6  7  7  8  5  3  4  7
  [4873]  7  7  7  6  5  8  6  8  5  3  3  4  6  7  6  4  5  6  6  5  5  6  6  6
  [4897]  5  5  8  6  6  8  7  7  8  4  7  8  5  5  6  6  5  4  5  6  5  7  7  6
  [4921]  8 10  6  8  4  6  6  6  8  5  5  8  6  5  7  5  6  7  4  9  4  5  7  6
  [4945]  6  6  8  7  7  8  3  7  4  5  6  5  7  5  8  7  3  9  6  5  7  6  4  6
  [4969]  8  7  5  9  4  5  6  8  4  7  5  9  7  2  5  5  7  8  7  6  5  7  7  3
  [4993]  6  3  4  3  8  7  4  5  3  3  5  6  5  7  7  4  5  5  7  5  6  7  7  4
  [5017]  5  9  5  4  4  8  3  4  7  4  5  6  8  4  7  7  5  2  7  8  5  4  7  6
  [5041]  7  5  6  7  7  5  9  6  6  6  5  6  6  4  7  9  5  5  4  8  9  6  4  6
  [5065]  9  6  7  6  8  6  7  6  4  6  5  8  5  5  9  9  6  5  5  7  5  6  8  6
  [5089]  5  5  8  8  3  8  7  6  5  4  6  6  8  4  4  7  6  6  5  4  6  5  5  7
  [5113]  6  7  4  5  7  2  5  7  5  7  5  7  7  8  6 10  7  7  5  8  7  6  3  7
  [5137]  5  8  6  6  4  7  6  6  5  8  5  5  5  6  7  7  8  7  9  6  7  7  5  7
  [5161]  6  5  8  8  3  3  5  9  3  5  4  7  7  6  7  5  8  4  5  4  3  7  7  8
  [5185]  8  6  5  4  8  5  3  7  5  6  9  6  5  5  6  4  9  6  6  5  7  6  7  5
  [5209]  6  7  5  6  3  7 10  7  5  6  7  8  4  8  5  6  4  6  8  6  5  6  6  6
  [5233]  4  7  6  5  4  6  7  6  7  8  6  9  8  7  7  7  4  7  3  6  4  7  7  8
  [5257]  6  7  6  7  8  7  6  5  7  6  8  7  5  6  7  5  6  7  8  3  6  6  5  5
  [5281]  5  4  8  7  4  7  4  7  5  6  6  6  6  6  6  7  5  5  6  7  5  4  7  6
  [5305]  4  6  6  6  9  6  6  6  5  5  4  5  6  7  9  8  6  6  8  7  8  7  8  6
  [5329]  7  8  4  7  7  7  7  5  6  8  5  4  7  5  7  5  7  5  8  4  5  4  9  9
  [5353]  7  7  8  5  9  5  6  5  4  6  3  7  7  3  7  5  7  5  5  7 10  6  6  6
  [5377]  7  6  7  7  9  6  6  3  8  5  6 10  7  5  6  4  5  6  7  6  8  7  7  3
  [5401]  7  5  8  7  7  4  6  7  6  8  6  5  4  6  6  5  4  2  7  7  4  7  5  4
  [5425]  8  4  5  9  8  6  5  7  7  4  6  6  7  8  7  6  3  6  4  8  5  7  6  9
  [5449]  5  4  5  8  3  7  5  5  6  5  6  6  7  5  7  4  6  6  4  5  9  5  7  3
  [5473]  6  5  8  7  3  6  6  6  8  6  7  7  5  5  3  8  6  6  6  6  7  5  4  7
  [5497]  5  4  9  6  7  6  6  4  8  4  6  6  8  4  5  6  6  3  5  3  5  6  4  5
  [5521]  7  7  9  6  6  8  5  8  7  7  4  5  4  6  5  7  6  4  7  7  6  4  5  6
  [5545]  5  7  6  8  7  5  2  5  5  6  7  3  5  3  6  5  5  6  6  5  6  7  6  6
  [5569]  5  3  7  7  7  6  6  6  6  7  7  7  6  8  8  8  8  5  3  5  5  5  7  5
  [5593]  6  8  5  4  6  5  6  4  6  6  7  8  5  4  6  8  4  6  8  4  6  6  6  7
  [5617]  8  5  4  7  6  7  8  5  7  6  8  6  4  9  2  5  7  5  6  9  6  6  2  6
  [5641]  9  9  7  8  8  6  6  7  6  6  7  8  3  8  6  4  2  6  5  8  8  8  7  7
  [5665]  6  7  7  8  5  4  5  6  5  5  6  7  7  6  8  9  5  6  5  5  6  4  5  6
  [5689]  3  7  3  6  7  4  5  6  7  6  5  6  6  6  6  6  7  6  4  8  6  4  7  6
  [5713]  6  5  6  3  3  6  8  7  2  6  7  7  6  9  9  7  7  9  5  5  5  8  5  5
  [5737]  7  6  9  6  8  5  6  4  5  6  5  7  7  5  6  5  6  5  6  4  4  3  7  6
  [5761]  6  8  6  4  8  5  7  7  6  8  5  6  4  7  7  6  4  9  7  5  8  3  9  6
  [5785]  4  7  6  6  6  4  6  7  4  8  4  7  8  8  8  7  4  6  5  4  7  5  5  7
  [5809]  9  7  7  6  5  7  6  7  8  7  4  6  4  4  7  5  6  6  5  4  5  4  7 10
  [5833]  7  5  5  6  9  8  7  2  5  6  9  7  8  5  6  4  7  6  9  6  5  5  8  6
  [5857]  6  5  6  6  5  7  6  7  6  4  3  6  5  4  5  3  5  7  5  6  4  4  6  6
  [5881]  6  5  3  6  7  5  4  6  7  6  3  6  7  6  7  6  4  9  5  7  5  5  6  6
  [5905]  6  5  3  4  8  6  8  6  8  8  5  3  6  7  6  6  3  5  7  6  3  6  8  8
  [5929]  4  5  6  7  7  8  6  5  4  5  3  7  8  7  1  6  2  5  7  4  6  5  7  3
  [5953]  6  8  5  8  6  5  6  6  4  7  9  7  7  4  6  8  7  8  4  8  7  6  7  4
  [5977]  4  4  5  4  6  6  7  6  8  5  7  4  2  8  6  5  5  5  6  4  5  7  6  3
  [6001]  4  7  7  7  9  3  5  5  6  7  4  7  6  6  4  6  5  7  7  4  5  5  7  8
  [6025]  3  6  6  7  9  7  7  6  8  7  9  7  6  7  5  3  7  3  8  5  7  7  8  7
  [6049]  5  7  5  7  8  5  7  7  4 10  6  8  6  3  5  4  5  6  4  6  5  6  8  6
  [6073]  7  6  6  7  6  8  9  8  7  8  4  6  6  6  8  5  6  5  6  6  5  5  3  7
  [6097]  8  6  7  6  6  5  9  7  6  4  7  7  3  6 10  8  4  6  4  5  5  6  6  6
  [6121]  7  6  4  5  7  7  5  8  5  5  4  7  7  4  7  4  6  7  6  8  4  4  5  3
  [6145]  6  5  5  7  7  7  4  5  8  4  6  6  9  7  6  3  8  6  6  6  9  4  7  6
  [6169]  7  4  5  6  7  5  7  7  4  6  3  5  4  6  8  6  4  9  8  6  6  2  5  5
  [6193]  6  2  6  3  6  5  5  5  5 10  9  4  6  5  6  3  5  7  7  5  7  6  8  4
  [6217]  7  7  6  6  7  7  5  6  5  6  8  6  6  7  5  4  6  6  6  8  7  7  6  6
  [6241]  8  8  5  6  8  6  7  8  7  6  7  6  7  5  7  6  7  7  6  5  8  5  6  7
  [6265]  5  7  8  7  8  7  3  8  6  5  6  6  6  6  5  3  6  6  7  8  7  7  7  6
  [6289]  7  6  7  8  4  6  6  6  7  6  5  9  5  5  6  5  5  6  7  5  6  8  8  5
  [6313]  8  6  7  6  6  3  7  6  6  4  9  9  7  7  4  6  8  8  8  4  6  3  5  7
  [6337]  4  5  2  8  5  3  5  5  3  7  7  7  6  6  6  6  8  5  9  8  3  6  7 10
  [6361]  7  4  8  6  6  6  5  5  6  7  6  7  5  7  6  8  7  4  6  6  7  7  6  5
  [6385]  7  7  4  8  9  7  5  6  7  7  3  5  6  8  5  6  5  5  6  8  5  9  3  3
  [6409]  5  7  6  7  3  4  5  5  5  7  4  8  6  7  5  6  6  4  6  4  6  5  7  7
  [6433]  3  2  7  6  7  2  4  6  6  6  4  4  7  4  6  6  6  8  8  9  7  5  7  6
  [6457]  5  5  6  5  6  7  7  8  6  3  8  5 10  2  3  5  5  6  5  5  9  6  5  9
  [6481]  5  4  6  7  5  6  4  6  6  6  3  5  4  6  4  9  7  5  6  7  7  5  5  6
  [6505]  6  6  6  4  7  5  6  6  3  6  7  4  7  4  8  8  8  4  6  4  7  7  7  6
  [6529]  7  5  6  5  4  4  7  6  8  8  8  7  9  7  9  8  7  7  8  6  8  5  3  5
  [6553]  3  4  2  7  5  5  6  5  8  9  8  5  7  7  4  6  5  5  5  6  6  6  8  6
  [6577]  6  8  6  7  7  5  3  6  5  3  6  4  9  5  6  7  4  6  5  7  6  4  4  2
  [6601]  6  4  7  8  6  6  5  7  6  6  5  6  8  6  8  4  6  4  5  5  7  5  7  7
  [6625] 10  6  5  5  7  3  5  5  4  6  7  5  5  4  6  4  5  7  8  6  5  8  4  7
  [6649]  3  8  8  6  5  7  7  5  5  5  6  7  6  7  5  6  5  6  6  5  5  8  5  7
  [6673]  6  5  6  5  5  6  5  4  5  3  4  7  5  5  6  4  8  6  7  6  7  3  6  5
  [6697]  7  6  6  5  8  7  7  5  5  5  6  2  7  7  4  7  8  9  5  4  4  6  7  8
  [6721]  5  7  7  6  6  7  5  7  7  8  7  7  5  6  5  8  5  7  4  8  5  8  8  7
  [6745]  6  5  7  6  6  7  5  4  6  7  6  5  6  6  5  4  8  4  7  5  3  7  5  6
  [6769]  7  7  8  8  7  6  5  5  5  8  7  3  7  8  4  4  7  5  6  8  5  5  6  6
  [6793]  7  8  7  7  8  6  5  7  4  7  6  5  5  6  7  6  6  6  6  3  8  7  6  5
  [6817]  5 10  5  7  4  6  8  7  5  6  5  7  6  5  5  7  8  6  6  8 10  7  6  5
  [6841]  3  6  4  6 10  9  5  3  7  7  6  4  9  8  5  7  7  4  5  7  6  6  8  6
  [6865]  6  6  5  4  6  6  5  7  7  8  4  3  7  6  7  8  4  6  4  6  5  9  6  9
  [6889]  4  6  8  6  4  8  3  4  6  4  5  2  5  6  4  7  7  8  5  5  9  4  3  5
  [6913]  7  6  7  8  6  7  8 10  6  7  6  6  7  9  3  6  9  6  6  6  4  8  7  8
  [6937]  6  8  3  8  9  6  7  6  8  7  5  7  7  8  5  7  7  8  6  5  5  4  6  5
  [6961]  9  4  7  7  5  8  3  4  8  8  6  8  6  5  7  6  8  7  3  5  4  6  8  4
  [6985]  9  5  6  8  5  6  6  5  4  3  6  7  8  2  4  4  6  5  6  9  6  3  6  5
  [7009]  9  6  5  6  5  6  5  5  7  5  6  4  8  7  5  9  7  5  4  6  7  5  9  6
  [7033]  6  8  8  9  7  7  5  7  3  6  6  6  4  8  8  4  3  6  6  6  7  5  5  6
  [7057]  7  5  6  8  6  7  4  4  7  7  7  6  6  6  5  7  3  5  4  6  5  3  9  7
  [7081]  5  6  5  5  7  7  7  8  8  6  6  7  6  6  9  6  8  6  6  8  8  7  6  7
  [7105]  4  7  7  5  6  8  5  6  8  5  4  4  5  6  4  7  7  5  8  6  5  5  5  3
  [7129]  2  7  3  6  7  8  8  8  5  7  3  7  8  8  7  4  3  7  3  7  6  8  8  6
  [7153]  7  6  4  5  3 10  6  7  7  7  6  4  6  7  7  8  5  3  4  6  6  5  5  6
  [7177]  6  3  5  6  6  8  4  3  6  4  7  5  5  6  5  6  6  8 10  4  3  6  7  4
  [7201]  7  6  3  6  9  4  8  7  7  8  8  6  4  9  4  4  5  5  7  8  7  6  7  6
  [7225]  7  6  5  9  5  8  7  5  6  5  9  4  6  7  7  6  4  5  4  8  9  7  5  7
  [7249]  7  8  6  4  5  6  5  5  7  7  6  7  7  8  4  5  8  6  5  6  4  6 10  5
  [7273]  5  6  7  7  6  7  6  7  5  8  5  4  5  8  6  7  7  7  6  5  6  5  6  5
  [7297]  7  5  5  7  8  6  8  7  6  8  5  6  4  7  5  4  6  3  5  3  8  5  8  7
  [7321]  8  5  6  5  5  4  5  5  4  6  6  7  6  4  7  5  6  7  6  5  7  7  7  7
  [7345]  8  7  8  3  4  6  6  6  7  5  8  8  6  8  7  9  6  6  6  5  5  6  6  5
  [7369]  6  5  2  6  4  4  6  6  7  6  4  6  7  7  6  7  5  8  7  6  7  5  5  7
  [7393]  6  6  6  6  6  8  6  7  5  7  4  4  7  4  4  9  8  5  7  7  8  5  6  7
  [7417]  5  5  8  8  6  4  7  6  5 10  8  6  5  2  6  3  8  3  6  8  6  5  7  3
  [7441]  8  5  7  7  6  5  8  4  6  7  4  5  5  7  7  4  7  5  7  5  5  6  6  8
  [7465]  7  4  8  3  5  6  8  6  5  6  6  6  5  7  4  4  8  5  4  5  5  5  7  7
  [7489]  6  8  5  3  5  8  9  6  4  4  8  6  9  3  5  9  8  6  6  4  8  5  9  6
  [7513]  7  5  5  5  6  6  7  9  6  4  6  5  6  6  7  9  5  6  8  7  5  5  7  7
  [7537]  7  4  5  8  7  7  8  3  8  8  5  8  9  4  7  6  6  8  8  4  6  6  5  7
  [7561]  9  6  7  7  3  8  7  6  8  5  7  6  7  6  6  7  7  4  6  6  5  9  6  6
  [7585]  5  6  7  5  6  6  5  8  6  8  6  7  6  4  6  5  6  3  8  6  6  6  7  4
  [7609]  4  4  7  6  6  5  9  6  7  5  7  7  4  6  6  6  6  6  6  8  7  5  6  5
  [7633]  4  6  5  8  5  5  7  6  6  6  6  7  7  5  6  8  3  6  8  7  5  8  8  6
  [7657]  5  9  8  7  5  6  8  6  6  6  4  7  6  6  6  9  4  5  3  4  2  7  7  5
  [7681]  8  6  5  7  5  6  4  7  6  9  6  6  4  5  6  7  5  7  5  8  6  8  7  8
  [7705]  7  6  9  6  4  7  8  7  7  6  7  5  4  6  6  7  5  8  6  5  3  7  5  8
  [7729]  5  4  5  7  8  6  6  5  6  5  7  7  6  4  7  7  6  8  9  5  6  5  7  5
  [7753]  5  7  9  7  6  2  6  6  5  4  8  6  7  7  5  9  5  8  5  9  6  8  8  5
  [7777]  5  5  6  6  9  7  6  5  5  8  5  6  7  6  5  3  7  5  5  7  5  5  5  7
  [7801]  7  6  5  5  4  9  7  6  6  7  4  7  7  9  9  6  7  7  4  3  8  6  6  7
  [7825]  5  5  6  6  5  4  3  4  5  8  5  5  5  7  8  6  5  4  5  4  5  8  6  7
  [7849]  8  9  6  5  4  5  7  5  9  6  3  6  7  7  4  7  5  7  3  2  6  6  7  7
  [7873]  3  6  3  7  6  4  6  5  5  9  7  7  5  8  8  6  6  6  5  5  7  8  5  8
  [7897]  5  6  4  8  3  5  7  7  5  8  4  7  6  5  7  4  8  4  4  5  2  5  8  5
  [7921]  6  3  8  8  6  5  7  7  6  4  2  3  8  9  5  8  3  7  7  6  7  7  6  7
  [7945]  4  7  7  3  8  7  6  6  9  6  8  4  4  7  5  8  9  4  5  4  9  9  7  6
  [7969]  6  6  8  6  4  7  4  7  7  4  4  7  6  6  5  7  5  5  8  7  9  6  3  4
  [7993]  6  7  5  9  8  6  4  8  3  3  4  5  9  6  8  6  6  5  5  4  7  6  7  5
  [8017]  6  6  7  4  3  2  9  8  5  8  9  9  7  6  4  7  4  4  8  9  8  6  6  5
  [8041]  7  8  5  9  8  6  8  8  7  8  8  7  4  5  7  8  6  7  4  8  3  7  6  7
  [8065]  6  4  4  6  6  3  8  7  4  5  8  6  6  7  7  4  7  4 10  7  7  8  4  6
  [8089]  7  3  7  4  7  9  7  9  6  6  5  4  4  6  8  7  5  3  6  3  6  6  8  6
  [8113]  6  6  8  7  5  7  7  8  6  7  9  5  6  3  4  6  5  5  4  5  8  5  6  6
  [8137]  6  6  5  5  6  6  6  8  3  7  4  4  9  7  7  6  8  4  1  5  7  7  4  4
  [8161]  6  6  6  6  5  5  6  6  5  6  5  6  9  7  7  7  7  5  7  5  4  6  4  4
  [8185]  7  8  5  8  8  6  7  6  6  4  6  7  7  8  8  6  7  7  6  5  5  8  7  9
  [8209]  5  6  8  7  7  3  5  7  7  6  7  6  6  5  6  7  5  4  6  8  9  5  7  5
  [8233]  7  8  7  6  6  4  2  7  5  7  6  4  5  7  4  6  7  5  5  6  5  7  6  4
  [8257]  6  7  5  5  6  5  7  7  7  2  6  6  6  9  7  6  6  6  7  4  7  5  4  7
  [8281]  7  3  6  3  8  7  6  8  5  7  8  5  5  7  6  5  7  8  6  8  6  5  7  6
  [8305]  8  7  6  6  8  7  6  9  8  8  7  5  6  5  4  2  6  8  8  7  7  6  4  5
  [8329]  5  8  5  6  4  7  5  6  4  8  8  7  6  7  7  5  6  4  4  7  5  7  7  6
  [8353]  7  7  7  6  6  7  7  7  5  7  7  6  5  6  5  5  7  6  4  5  6  7  7  6
  [8377]  6  6  8  8  5  7  7  7  4  6  9  9  8  4  7  6  7  5  4  5  6  6  5 10
  [8401]  5  6  6  6  5  9  5  5  5  8  8  7  8  8  9  7  6  4  4  6  8  7  6  4
  [8425]  5  4  6  7  6  7  7  5  7  5  6  4  4  8  7  6  6  5  6  7  5  8  6  9
  [8449]  5  6  8  6  5  7  6  6  8  8  9  5  7  6  5  7  6  7  7  5  6  7  6  3
  [8473]  7  4  6  7  6  8  7  5  6  6  6  5  5  8  5  6  5  6  6  4  6  6  5  7
  [8497]  8  7  5  6  7  7  2  6  7  8 10  7  4  5  7  6  5  4  6  6  4  4  7  6
  [8521]  8  7  4  5  7  5  8  8  5  6  6  4  2  6  5  5  7  4  7  6  3  9  8  6
  [8545]  5  5  5  8  7  7  4  7  7  9  6  5  5  8  2  8  5  7  3  7  7  6  9  8
  [8569]  5  8  8  7  8  6  5  4  6  7  5  6  4  4  5 10  5  6  5  5  6  6  3  5
  [8593]  6  6  5  5  7  6  6  7  9  6  6  7  8  4  6  4  6  5  4  7  7  7  7  7
  [8617]  9  7  5  6  4  5  6  3  4  5  7  7  8  4  6  8  5  8  8  8  8  6  6  9
  [8641]  5  4  9  5  9  4  6  6  5  4  7  6  4  4  7  7  6  7  4  5  6  8  6  3
  [8665]  7  6  6  5  7  6  9  3  8  7  6  6  6  6  4  6  6  6  6  7  4  5  2  6
  [8689]  6  6  4  6  5  7  6  5  9  7  8  6  7  6  8  5  8  5  7  6  5  5  7  7
  [8713]  6  7  6  5  5  7  6  4  6  6  7  6  5  7  4  4  6  5  1  5  6  7  2  7
  [8737]  6  7  8  3  8  6  7  3  4  6  3  5  5  7  6  4  7  7  7  5  7  8  7  5
  [8761]  7  5  7  9  5  7  5  8  3  5  9  5  5  7  7  6  6  5  8  8  6  6  7  6
  [8785]  5  5  8  8  1  7  7  5  6  6  8  5  7  4  3  6  7  3  5  6  7  5  4  5
  [8809]  5  8  7  6  6  7  7  6  5  6  7  7  5  8  4  8  4  9  6  6  6  6  5  5
  [8833]  5  6  5  7  5  7  5  8  6  7  5  2  6  5  4  8  7  9  6  7  6  5  8  6
  [8857]  4  7  8  7  4  6  8  5  8  2  5  6  6  6  9  5  4  7  9  5  7  8  8  6
  [8881]  7  9  6  5  7  6  7  4  6  8  6  8  7  4  9  6  7  9  9  5  5  7  3  5
  [8905]  8  4  7  6  7  5  5  3  6  7  5  7  5  5  6  6  5  6  8  5  6  6  7  5
  [8929]  8  8  8  5  5  3  8  6  7  7  4  5  6  4  5  6  6  5  6  7  9  7  7  7
  [8953]  8  4  7  4  3  8  6  6  7  5  5  8  5  6  6  7  6  9  6  5  6  7  5  8
  [8977]  6  3  7  5  5  4  7  6  4  9  8  7  5  8  4  7  4  6  6  5  5  6  9  8
  [9001]  5  5  6  7  5  9  6  8  4  5  6  6  5  7  6 10  5  5  8  5  5  6  7  7
  [9025]  5  8  7  7  5  7  1  7  4  8  4  4  7  7  6  5  6  6  9  5  6  7  7  5
  [9049]  6  6  7  4  5  6  3  7  4  3  5  6  6  6  6  3  4  6  4  5  7  9  5  8
  [9073]  8  8  8  6  4  5  6  8  6  5  4  1  6  4  7  7  6  8  9  7  7  4  6  6
  [9097]  8  7  6  4  7  3  4  7  6  6  8  7  6  8  6  4  6  7  6  5  7  8  7  6
  [9121]  5  9  3  8  9  4  6  7  4  6  8  8  4  8  7  6  5  5  4  8  5  6  4  4
  [9145]  9  6  8  6  5  6  7  6  7  5  4  7  6  5  6  7  6  6  8  5  9  8  6  6
  [9169]  5  5  8  6  9  7  4  7  5  4  5  8  5  5  5  6  8  8  4  7  8  7  7  5
  [9193]  6  6  6  4  5  6  5  7  7  7  8  7  8  6  5  7  7  6  5  5  4  9  7  7
  [9217]  5  6  7  6  5  8  6  5  7  6  5  4  5  5  7  7  6  5  2  7  7  5  6  4
  [9241]  4  7  8  5  2  9  7 10  7  9  6  6  4 10  1 10  5  3  5  6  8  6  6  6
  [9265]  9  4  6  6  4  5  6  6  6  7  6  7  6  9  6  6  8  8  7  7  7  8  5  6
  [9289]  6  4  7  4  5  7  4  9  8  6  6  8  7  7  7  6  5  6  5  2  5  6  7  4
  [9313]  4  8  4  6  8  5  6  5  8  8  4  7  6  6  4  6  5  7  6  8  5  4  8  5
  [9337]  8  4  7  6  6  4  7  5  7  6  5  7  7  8  4  6  7  4  6  6  7  7  7  5
  [9361]  8  8  5  6  4  6  6  5  3  9  8  5  7  8  5  7  5  6  6  6  3  6  3  8
  [9385]  8  5  7  6  8  7  8  5  6  4  5  6  7  5  6  5  7  5  6  5  6  6  6  5
  [9409]  7  5  7  7  5  6  7  4  7  7  8  6  7  6  6  4  7  7  7  6  8  6  5  7
  [9433]  3  3  7  6  5  4  4  5  7  5  7  3  5  6  7  5  6  4  7  4  8  2  5  6
  [9457]  6  6  3  6 10  4  5  4  7  6  6  5  8  4  5  8  4  4  5  7  7  6  3  3
  [9481]  6  6  6  7  6  7  6  6  6  8  8  6  4  6  5  6  6  5  5  6  8  7  4  7
  [9505]  6  7  5  7  7  7  7  7  7  7  4  6  4  6  4  4  6  8  7  5  4  7  8  5
  [9529]  6  9  5  7  8  4  8  5  5  6  3  6  7  7  7  6  7  7  4  7  7  3  7  5
  [9553]  7  2  7  5  7  6  5  5  6  6  5  4  7  7  5  3 10  7  4  6  6  6  7  6
  [9577]  5  3  8  7  7  5  6  8  8  8  6  5  6  8  6  6  8  7  4  7  8  8  8  6
  [9601]  7  6  4  7  6  9  6  7  6  9  6  7  5  5  5  7  4  8  7  5  6  8  5  8
  [9625]  5  5  7  9  5  5  7  6  7  5  4  4  9  8  6  6  5  9  7  4  5  4  7  4
  [9649]  6  6  6  6  6  6  8  4  6  7  7  7  7  5  4  7  7  6  6  5  6  3  6  7
  [9673]  5  7  6  7  6  3  7  5  7  5  7  7  5  8  4  5  7  3  9  7  7  7  7  4
  [9697]  4  3  6  9  4  6  5  6  8  5  5  5  7  7  6  3  6  8  6  6  7  6  3  9
  [9721]  4  1  7  4  6  4  4  6  4  5  7  7  4  8  7  4  6  5  6  6  9  6  6  6
  [9745]  9  5  9  6  6  6  5  5  4  7  5  6  7  5  7  6  5  8  4  6  5  6  6  7
  [9769]  6  6  3  5  9  4  4  7  6  7  8  8  5  5  8  6  5  7  6  5  6  7  9  5
  [9793]  6  4  7  6  7  5  8  7  8  5  7  6  4  7  5  6  6  4  3  7  3  6  5  7
  [9817]  8  5  4  5  6  6  6  7  6  9  6  6  7  4  5  7  7  3  7  5  6  6  7  4
  [9841]  6  4  6  6  6  5  5  4  9  7  6  6  5  6  5  7  3  3  7  6  8  7  6  5
  [9865]  9  4  4  5  8  4  5 10  7  6  9  6  6  7  8  5  5  7  9  7  6  6  8  6
  [9889]  4  3  7  7  5  4  7  6  6  7  4  5  7  6  3  5  4  4  4  4  9  5  6  8
  [9913]  8  8  5  5  4  8  7  6  7  5  8  3  5  5  4  6  9  4  9  8  4  7  4  7
  [9937]  5  6  6  7  7  8  6  7  7  7  3  6  7  5 10  6  5  5  8  4  5  6  8  5
  [9961]  6  6  5  5  6  5  9  3  8  7  7  4  3  8  6  6  4  8  6  4  7  7  4  7
  [9985]  8  7  4  4  5  9  6  5  5  7  6  6  7  6  7  4  7  6  4  5  5  6  6  6
 [10009]  8  7  6  5  8  5  7  6  3  6  8  7  7  9  7  7  7  8  8  4  6  8  8  4
 [10033]  4  4  6  7  5  8  8  7  6  4  5  6  6  8  6  8  8  4  7  5  7  5  7  5
 [10057]  5  3  3  6  4  5  5  5  6  6  5  6  7  6  6  6  6  6  9  7  3  5  8  5
 [10081] 10  7  6  7  6  5  6  5  6  4  8  5  5  3  4  8  7  5  6  3  6  3  6  7
 [10105]  4  6  6  5  3  6  7  7  4  7  7  4  6  3  7  6  6  8  5 10  6  6  5  7
 [10129]  7  7  6  9  5  4  4  7  6  7  5  5  5  5  5  5  6  6  6  6  5  5  7  7
 [10153]  6  7  6  4  8  8  6  8  5  8  6  7  3  5  6  7  5  7  5  7  5  5  5  7
 [10177]  6  4  5  7  6  7  6  6  5  7  5  7  6  5  7  9  4  8  6  5  7  6  7  7
 [10201]  6  6  5  4  8  5  8  6  6  5  7  6  4  8  8  5  8  6  6  8  5  7  6  7
 [10225]  6  5  5  4  7  8  6  5  7  6  7  7  6  7  5  8  7  5  8  5  8  8  9  7
 [10249]  6  8  5  6  3  3  7  6  7  5  6  3  6  2  7  8  5  7  7  5  4  5  8  6
 [10273]  6  4  5  7  7  6  7  5  7  5  6  3  4  6  8  7  6  6  7  7  4  4  3  8
 [10297]  5  3  6  5  4  7  7  7  6  5  4  4  6  9  7  3  6  7  7  8  3  6  7  7
 [10321]  5  4  6  5  4  7  5  5  7  6  6  6  6  6  5  6  6  8  5  3  6  7  5  7
 [10345]  6  8  8  5  6  7  7  7  4  6  8  7  9  6  5  6  5  5  5  3  4  8  5  4
 [10369]  7  5  5 10  7  6  4  5  4  3  6  8  4  6  6  9  4  5  9  4  8  6  6  5
 [10393]  7  7 10  4  7  6  3  6  8  6  6  5  7  5  6  5  6  5  6  4  6  5  9  6
 [10417]  6  9  6  6  5  8  4  4  6  8  6  7  8  5  6  7  8  5  3  8  7  8  5  5
 [10441]  5  5  8  6  5  7  8  5  5  4  7  6  7  5  5  5  5  6  6  6  7  7  6  7
 [10465]  6  6  5  9  7  6  6  4  2  5  8  4  6  6  5  9  7  7  7  7  8  4  8  5
 [10489]  6  3  4  6  6  5  4  7  7  7  5  5  6  7  5  4  6  5  5  6  6  7  5  8
 [10513]  5  9  6  5  6  7  8  7  7  4  6  2  5  6  5  6  7  5  7  3  3  6  8  6
 [10537]  6  6  6  6  7  5  8  7  7  6  2  9  6  6  6  7  6  5  8  6  5  7  5  7
 [10561]  7  7  6  8  7  4  5  6  8  5  6  8  5  8  3  7  7  4  8  7  6  4  6  5
 [10585]  5  6  6  7  7  4  3  5  7  6  5  6  5  7  7  3  3  5  8  5  7  8  4  8
 [10609]  8  3  5  6  6  7  5  6  5  7  7  4  7  5  5  2  5  8  8  7  8  5  8  3
 [10633]  6  8  6  6  2  7  5  8  6  8  7  8  7  9  7  6  8  6  6  5 10  4  8  9
 [10657]  4  7  6  8  5  6  7  4  4  5  6  6  5  7  6  6  5  5  7  5  4  5  7  4
 [10681]  2  6  6  4  6  8  7  6  5  9  6  5  5  9  5  6  7  6  5  5  8  7  6  7
 [10705]  5  6  8  7  7  5  7  5  9  8  6  7  4  4  8  7  8  7  7  5  6  8  6  7
 [10729]  6  7  6  8  2  6  7  6  8  7  8  6  6  5  7  6  4  7  6  7  6  5  8  5
 [10753]  6  6  6  8  8  9  7  8  7  7  5  4  5  6  5  6  4  6  7  7  4  5  6  7
 [10777]  4  5  8  7  7  5  5  4  3  8  6  8  7  5  5  3  6  7  6  7  6  5  4  4
 [10801]  8  7  7  6  5  7  9  5  4  6  7  5  8  6  6  6  3  5  7  7  8  5  6  9
 [10825]  4  5  6  5  5  6  4  5  9  5  5  8  7  6  6  5  3  5  6  6  5  7  8  7
 [10849]  5  8  6  6  6  5  5  2  8  7  4  8  2  3  7  4  5  6  3  5  7  5  6  6
 [10873]  2  4  7  6  5  5  5  4  7  8  5  9  7  4  5  4  7  6  9  6  5  5  4  8
 [10897]  6  7  7  7  7  3  8  8  8  7  4  8  9  9  5  6  7  5  8  6  6  3  6  9
 [10921]  4  6  2  6  3  4  3  6  3  8  5  6  7  6  6  6  8  8  7  5  7  3  8  6
 [10945]  4  4  5  4  6  5  6  7  4  9  5  5  7  7  9  6  8  6  7  6  6  8  4  6
 [10969]  5  7  5  5  5  9  6  8  8  6  7  6  8  6  8  4  8  6  5  6  8  8  5  7
 [10993]  2  4  6  3  6  3  5  7  6  4  7  8  8  7  6  6  7  3  5  6  6  4  4  6
 [11017]  5  6  4  5  6  3  5  7  6  6  6  6  6  6  8  8  8  6  6  5  8  6  6  6
 [11041]  5  8  7  7  6  7  8  6  5  7  7  7  4  5  6  6  3  3  6  9  6  4  4  6
 [11065]  5  8  7  6  5  6  5  6  5  6  7  4  6  5  5  8  4  7  6  9  7  5  5  7
 [11089]  6  5  4  6  8  7  7  6  5  5  8  7  2  6  7  6  5  9  9  8  3  8  5  4
 [11113]  7  7  6  7  7  5  9  5  8  7  7  9  4  5  5 10  7  5  6  6  4  6  8  6
 [11137]  5  5  7  2  5  5  4  3  7  4  5  6  9  7  6  6  6  4  5  7  4  6  7  7
 [11161]  4  7  7  7  8  7  3  6  5  9  5  3  5  6  6  5  4  5  4  5  8  5  8  4
 [11185]  7  7  5  3  9  6  6  7  8  4  7  6  8  8  4 10  6  6  6  4  4  8  7 10
 [11209]  8  4  7  7  7  8  5  6  7  7  8  7  6  8  5  4  8  7  4  5  5  4  4  8
 [11233]  7  6  5  4  7  9  6  4  8  5  4  8  8  9  5  8  7  6  8  6  4  9  6  3
 [11257]  6  6  6  8  5  8  4  5  6  7  4  4  9  8  5  5  5  4  6  7  6  5  7  7
 [11281]  7  4  4  5  6  5  4  5  7  8  8  5  4  3  6  6  4  4  8  7  5  9  7  7
 [11305]  3  9  4  7  5  7  7  7  4  8  5  4  8  6  4  7  5  6  6  4  2  5  5  5
 [11329]  7  8  5  6  5  8  6  4 10  4  7  5  6  5  5  7  5  7  6  4  4  8  6  6
 [11353]  8  7  7  6  6  5  7  5  9  3  5  5  5  6  7  9  5  6  7  5  6  7  5  4
 [11377]  5  6  7  6  7  8  5  9  8  8  7  4  4  5  6  5  7  7  8  5  5  7  7  4
 [11401]  6  4  4  6  6  8  4  1  8  6  9  5  6  7  4  5  7  5  6  5  5  6  7  8
 [11425]  8  9  7  5  6  8  8  4  5  7  5  8  5  6  4  5  4  5  4  5  7  6  4  6
 [11449]  8  7  5  3  3  6  3  7  6  6  5  8  8  7  8  5  6  8  6  8  6  5  7  4
 [11473]  8  8  5  5  4  5  6  6  3  6  6  7  4  3  7  5  5  5  5  6  6  5  4  5
 [11497]  6  5  9  7  7  7  5  9  9  8  9  2  6  6  6  7  4  6  6  8  5  7  6  3
 [11521]  5  6  5  6  8  4  7  8  5  5  9  5 10  8  6  8  6  8  7  7  5  5  4  6
 [11545]  4  9  6  4  6  7  6  7  9  7  8  4  5  6  6  8  8  6  4  2  5  4  7  7
 [11569]  6  7  6  6  6  6  6  6  6  9  5  5  4  6  5  5  3  6  5  5  6  5  5  6
 [11593]  6  6  5  4  3  7  6  3  4  4  6  7  7  3  4  4  5  3  7  7  3  5  9  6
 [11617]  6  7  6  5  6  7  6  5  3  8  9  7  4  4  7  9  5  6  7  8  5  7  6  7
 [11641]  7  5  8  6  8  8  7  5  6  7  5  8  6  6  4  8  8  6  5  6  5  8  5  5
 [11665]  6  6  7  6  8  4  8  4  5  9  7  9  8  9  5  6  5  6  9  7  3  8  4  6
 [11689]  8  6  7 10  6  5  5  3  8  5  7 10  1  6  5  7  4  8  7  4  7  8  8  7
 [11713]  5  5  6  9  2  6  7  6  6  7  7  6  6  5  7  6  8  6  6  6  7  4  7  6
 [11737]  5  8  4  3  5  5  6  5  6  6  7  5  6  7  4  8  8  4  4  7  7  6  5  5
 [11761]  8  7  6  5  4  7  6  7  8  7  3  4  7  4  8  4  7  5  8  9  6  5  6  3
 [11785]  7  6  5  9  5  4  8  5  5  7  8  8  6  6  6  5  7  8  4  6  6  5  5  7
 [11809]  6  5  7  6  5  5  7  6  5  9  2  4  5  6  5  3  5  7  4  6  8  4  7  3
 [11833]  6  7  6  7  8  7  9  5  7  5  3  7  3  8  5  6  8  6  5  5  7  8  6  5
 [11857]  5  4  3  5  6  8  7  8  5  4  5  3  5  8  4  5  6  8  7  7  6  5  9  8
 [11881]  4  8  5  4  5  7  6  6  9  6  7  7  5  5  6  6  5  6  7  5  6  6  7  5
 [11905]  7  8  6  6  3  7  6  5  6  6  4  6  6  6  5  9  7  5  5  7  8  6  6  7
 [11929]  4  6  4  4  6  6  9  5  3  8  7  7  5  7  9  5  7  6  3  6  5  7  5  8
 [11953]  5  5  8  4  6  6  5  7  4  7  7  7  6  5  5  2  0  8  4  4  9  6  6  7
 [11977]  6  6  5  6  7  6  4  2  7  6  6  4  5  7  7  7  6  7  4  3  7  5  8  5
 [12001]  5  7  7  6  6  6  5  8  5  5  4  8  7  4  7  6  7  9  6  4  3  6  6  5
 [12025]  6  5  5  4  8  5  5  6  6  8  7  5  5  6  6  4  6  7  6  6  4  7  7  7
 [12049]  5  8  6  6  6  7  7  4  7  8  6  6  4  6  7  7  3  7  6  6  7  6  7  6
 [12073]  6  5  3  4  6  5  6  5  6  6  6  7  7  6  4  7  8  6  8  4  7  6  6  7
 [12097]  4  7  7  5  6  4  7  5  3  4  4  5  8  6  5  6  8  7  7  4  7  8  7  5
 [12121]  6  5  7  7  6  5  4  6  4  5  9  6  6  6  5  5  4  5  7  6  6  7  3  8
 [12145]  6  7  3  5  9  5  3  8  9  7  4  6  4  4  7  3  7  4  5  5  6  4  6  7
 [12169]  4  3  6  6  9  8  5  9  7  5  5  8  7  7  6  6  8  5  8  5  9  7  6  6
 [12193] 10  7  4  6  7  6  6  5  4  7  6  8  5  3  7  8  8  6  5  8  6  6  6  7
 [12217]  7  8  7  8  9  7  8  6  8  6  6  7  8  6  5  7  6  7  7  8  8  7  7  8
 [12241]  5  5  5  3  7  5  9  7  7  5 10  5  3  4  6  4  4  7  6  5  3  6  7  8
 [12265]  5  6  6  6  5  7  8  5  3  4  6  4  7  3  8  6  8  6  9  5  9  7  6  3
 [12289]  4  6  5  6  9  7  6  4  4  7  4  6  3  5  5  3 10  4  5  5  6  7  9  6
 [12313]  6  4  7  6  7  7  5  3  7  5  7  4  8  5  6  8  5  6  5  6  4  3  9  6
 [12337]  6  7  8  8  5  7  6  6  8  7  7  4  4  7  7  7  9  8  4  5  4  5  7  8
 [12361]  3  8  6  5  8  3  7  7  6  8  5  6  5  4  4  7  6  8  5  4  4  7  6  7
 [12385]  7  6  6  6  8  5  6  4  5  7  8  8  7  4  8  3  6  7  4  5  7  6  7  8
 [12409]  6  6  8  4  4  5  7  5  4  6  5  5  5  6  8  7  8  5  6  5  7  3  7  6
 [12433]  6  6  3  4  7  8  7  5  3  8  6  4  6  5  8  5  5  9  4  8  5  3  8  6
 [12457]  4  8  6  6  3  7  5  3  5  6  3  3  4  5  5  8  7  6  5  7  5  5  7  6
 [12481]  6  7  6  3  8  8  5  8  8  7  5  7  8  8  5  5  5  7  3  6  8  7  5  5
 [12505]  6  4  6  6  7  5  5  7  8  7  7  5  5  5 10  8  6  4  7  7  5  6  5  6
 [12529]  8  8  4  5  4  6  4  6  8  7  3  5  4  5  4  4  8  7  6  4  6  6  8  8
 [12553]  6  7  5  5  6  8  6  9  4  6  7  5  5  5  4  8  8  5  9  7  5  7  6  7
 [12577]  2  6  6  6  6  6  9  7  7  6  8  6  2  6  8  6  5  6  4  8  7  7  6  8
 [12601]  8  7  6  7  7  3  7  6  5  6  7  7  8  7  5  7  6  4  8  4  7  7  5  6
 [12625]  8  6  5  7  7  6  8  6  5  4  9  6  7  5  6  3  6  7  6  5  6  7  4  9
 [12649]  3  8  3  6  8  5  7  6  8  5  7  3  6  8  6  3  6  5  6  5  7  6  7  5
 [12673]  7  4  7  6  7  4  8  5  4  6  3  6  8  4  4  8  6  6  6  5  6  5  5  8
 [12697]  6  7  7  5  6  8  5  4  6  7  8  6  8  4  5  4  6  8  7  4  6  7  7  7
 [12721]  6  5  6  8  9  8  8  8  8  4  8  7  4  8  4  9  5  7  7  7  4  8  8  4
 [12745]  9  3 10  5  6  5  6  6  7  3  5  5  6  4  7  6  4  6  4  6  4  4  5  7
 [12769]  8  5  6  7  6  8  6  7  4  5  8  7  8  7  6  6  8  6  4  7  6  7 10  6
 [12793]  6  5  6  3  7  7  8  7  6  7  4  5  7  5  4  6  4  3  8  7  5  7  6  7
 [12817]  6  7  3  7  4  8  7  6  8  7  5  6  5  6  4  6  4  5  6  5  6  7  5  4
 [12841]  4  7  6  6  7  9  8  4  6  5  6  5  6  5  7  7  7  5  5  6  6  5  4  5
 [12865]  7  7  9  7  6  7  5  9  6  4  8  8  7  4  6  5  4  8  4  7  5  3  5  7
 [12889]  7  8  5  5  4  5  5  5  4  7  6  5  4  4  4  8  8  6  4  7  5  8  5  8
 [12913]  6  8  7  6  8  8  6  8  6  5  4  7  6  5  7  5  4  7  6  5  7  8  5  7
 [12937]  4  8  8  5  6  8  7  7  6  7  6  4  5  7  4  7  7  4  6  8  5  6  7  6
 [12961]  5  2  3  6  8  3  5  6  6  8  8  7  6  6  6  6  8  8  6  7  5  7  6  5
 [12985]  3  6  4  8  7  7  4  7  4  6  7  6  4  4  3  4  5  7  5  6  8  7  3  6
 [13009]  7  6  7  5  5  6  6  7  3  5  7  7  7  6  6  6  5  4  2  6  8  6  4  5
 [13033]  5  7  4  6  8  5  5  6  7  7  9  8  7  6  8  5  3  4  7  4  5  5  5  8
 [13057]  7  5  5  6  5  7  8  5  5  6  6  7  6  6  7  7  6  5  8  8  6  5  6  5
 [13081]  6  7  4  8  7  7  6  5  5  8  4  4  6  9  6  7  4  8  6  6  6  7  6  5
 [13105]  6  4  6  5  5  4  6  6  7  9  6  6  7  4  4  5  8 10  4  8  6  9  9  7
 [13129]  7  9  4  4  8  5  6  4  8  6  6  7  4  5  6  6  5  6  5  8  4  8  4  7
 [13153]  4  4  5  1  6  7  6  4  5 10  7  7  7  7  7  6  7  5  6  7  6  8  7  4
 [13177]  9  6  3  8  7  6  4  7  7  3  5  4  6 10  5  4  9  7  6  6  6  6  4  6
 [13201]  7  5  7  8  9  4  6  4  5  3  6  5  7  6  5  4  8  5  6  5  4  8  6  5
 [13225]  7  8  7  5  5  5  8  6  7  8  8  7  6  3  6  7  6  5  6  7  9  6  8  6
 [13249]  6  6  6  9  6  5  8  4  4  7  6  8  7  6  6  4  5  7  5  6  7  8  8  5
 [13273]  5  8  8  5  7  6  4  8  7  6  6  7  5  3  4  6  8  8  5  2  6  7  4  4
 [13297]  5  7  6  6  7  7  8  7  8  5  7  6  8  7  6  6  7  7  3  5  4  6  5  7
 [13321]  7  4  3  5  6  4  6  6  9  7  4  4  6  7  8  8  6  5  4  6  6  7  6  7
 [13345]  4  6  7  8  6  8  5  6  8  4  4  4  8  8  6  7  6  7  7  7  6  5  6  8
 [13369]  5  8  8  7  4  4  6  6  7  5  8  6  4  7  8  4  6  2  7  6  7  7  6  5
 [13393]  6  5  7  6  7  4  5  6  5  4  3  2  8  7  8  6  7  7  8  7  3  7 10  6
 [13417]  8  8  7  9  6  6  6  7  4  8  4  7  8  7  6  6  9  8  5  5  7  7  5  4
 [13441]  8  3  6  6  6  6  8  3  5  7  1  8  6  3  7  8  7  7  7  7  6  7  7  7
 [13465]  4  4  5  5  5  8  4  6  8  8  7  6  6  7  7  7  5  9  6  7  5  8  8  7
 [13489]  5  6  9  5  6  7  5  8  7  5  4  6  6  4  8  6  4  6  6  6  6  2  5  6
 [13513]  8  8  6  5  6  3 10  9  7  4  7  6  5  6  4  6  6 10  7  3  6  4  8  6
 [13537]  8  5  9  9  6  7  5  7  6  6  8  6  7  7  4  5  5  5  5  6  7  4  6  6
 [13561]  8  6  6  8  5  7  6  6  6  6  9  8  6  5  7  5  8  8  7  6  6  5  7  7
 [13585]  6  5  8  6  8  8  3  7  5  5  8  4  6  9  6  3  7  6  4  6  2  5  7  5
 [13609]  5  5  4  5  5  6  5  6  4  4  6  6  9  6  5  6  8  6  7  6  6  7  9  6
 [13633]  6  7  5  9  7  6  8  5  7  7  7  5  6  7  7  4  7  7  5  7  5  4  4  8
 [13657]  4  8  7  6  5  7  8  5  6  6  9  9  5  5  8  7  6  7  6  6  8  5  5  5
 [13681]  4  6  6  5  8  7  8  8  8  4  7  4  6  6  5  4  5  5  7  4  4  6  7  6
 [13705]  8  6  5  6  5  4  6  9  5  3  4  8  7  7  4  6  7  7  4  4  6  6  6  7
 [13729]  5  7  5  6  4  6  5  4  4  2  5  4  7  4  4  9  8  6  4  6  7  4  4  4
 [13753]  6  6  6  9  3  5  7  7  4  5  7  8  6  7  6  7  3  6  4  8  6  9  6  7
 [13777]  6  7  8  7  9  5  6  7  6  7  7  7  7  5  6  8  3  5  7  4  4  5  6  7
 [13801]  6  4  3  9  6  6  7  3  9  5  7  6  4  7  7  6  5  2  6  4  8  5  9  4
 [13825]  8  8  6  6  7  8  7  7  6  7  8  4  5  6  7  8  6  8  7  8  5  7  5  4
 [13849]  7  7  9  6  6  8  5  6  5  8  4  6  7  4  7  7  8  6  5  9  7  5  7  5
 [13873]  6  4  6  5  7  3  3  6  7  6  4  7  5  6  3  5  6  5  6  6  7  9  8  6
 [13897]  7  5  7  8  7  6  5  8  7  6 10  7  6  6  6  5  6  7  6  4  7  5  5  4
 [13921]  7  7  7  7  5  4  4  6  7  6  6  7  7  6  6  6  3  7  5  6  5  5  5  5
 [13945]  6  4  8  8  5  6  6  4  7  7  4  5  5  8  4  5  5  7  7  7  6  5  9  7
 [13969]  6  8  9  6  6  7  6  9  7  4  6  6  8  8  5  7  3  5  5  6  3  3  6  6
 [13993]  6  5  4  4  5 10  5  5  6  8  6  7  6  6  6  4  5  9  7  4  7  8  4  8
 [14017]  7  4  6  7  9  5  7  4  2  4  6  7  5  5  5  6  8  5  5  6  8  3  5  3
 [14041]  8  4  6  4  5  2  7  6  6  7  5  8  5  5  4  6  2  6  6  5  4  7  5  5
 [14065]  6  6  6  4  8  6  4  7  4  6  7  4  8  7  6  5  4  7  3  2  7  4  6  6
 [14089]  3  4  7  7  8  5  5  9  2  8  7  5  7  3  6  4  6  6  7  5  5  7  7  5
 [14113]  6 10  5  5  6  6  5  6  8  7  7  6  6  5  8  9  6  6  5  5  6  8  8  7
 [14137]  6  6  8  7  6  7  8  6  9  6  5  8  6  6  8  6  8  6  8  4  7  6  4  6
 [14161]  5  5  7  5  4  3  8  6  3  8  6  8  4  5  8  3  6  8  7  6  5  6  8  4
 [14185]  8  8  7  3  3  8  6  7  4  7  7  5  6  6  6  9  6  4  6  6  6  5  7  4
 [14209]  5  6  3  8  6  9  5  6  6  8  6  5  5  8  6  8  7  4  6  6  4  4  5  6
 [14233]  5  7  6  6  5  5  9  6  6  6  8  8  7  7  8  6  4  7  7  5  7  6  4  6
 [14257]  5  6  7  7  9  4  5  6  7  6  7  4  7  6  8  4  8  9  8  8  4  5  8  7
 [14281]  7  5  5  5  5  7  9  3  4  5  6  7  4  7  7  6  7  9  6  7  5  7  8  6
 [14305]  7  2  5  7  4  5  7  8  4  8  6  4  6  6  5  6  5  7  7  7  5  7  7  7
 [14329]  5  5  7  7  7  4  4  7  5  9  8  6  5  5  6  5  5  8  5  7  8  4  6  5
 [14353]  6  5  7  7  9  7  7  6  5  5  5  7  4  6  5  5  6  5  7  6  7  7  5  5
 [14377]  7  6  6  6  5  5  5  6  6  3  7  8  8  8  6  8  7  3  6  7  6  6  7  8
 [14401]  5  7  4  6  6  5  5  4  8  7  6  6  6  5  5  8  5  6  6  6  5  2  7  6
 [14425]  6  6  8  5  5  7  5  5  6  6  3  8  7  6  4  5  5  5  3  5  4  7  5  8
 [14449]  5  5  5  9  5  7  5  7  4  3  6  4  3  6  6  3  8  8  4  7  8 10  6  7
 [14473]  7  6  4  7  5  6  7  8  4  5  6  6  5  5  5  6  7  5  6  5 10  5  7  6
 [14497]  5  6  4  8  5  6  6  4  5  6  7  5  7  6  7  7  5  6  6  6  5  8  5  6
 [14521]  4  8  3  9  8  4  5  4  7  4  4  8  5  6  4  6  8  6  6  6  3  4  7  5
 [14545]  8  7  6  3  7  7  5  8  7  8  6  6  8  7  5  7  5  9  8  7  4  6  7  8
 [14569]  5  8  6  8  7  5  7  5  5  8  6  5  6  8  5  5  5  7  6  5  6  5  8  6
 [14593]  6  7  3  3  6  4  7  5  4  5  5  8  4  9  5  8  5  5  5  6  7  8  6  7
 [14617]  5  4  3  8  5  7  3  7  6  6  7  8  7  4  8  3  9  5  7  6  7  2  4  6
 [14641]  8  7  6  6  7  5  5  5  5  6  7  5  6  7  6  5  8  7  6  5  7  6  7  7
 [14665]  8  6  6  8  6  6  7  7  4  7  8  7  6  4  7  8  5  7  4  8  9  7  7  8
 [14689]  9  7  3  7  6  7  5  5  6  7  8  7  8  6  5  6  5  6  7  7  8  5  5  7
 [14713]  7  4  6  6  5  6  7  8  8  5  3  8  7  7  3  6  7  8  5  7  5  4  8  4
 [14737]  7  7  3  4  6  7  4  4  8  7  5  8  7  3  6  7  7  6  6  4  6  5  9  6
 [14761]  7  7  5  9  6  5  6  6  6  6  4  6  6  5  6  4  5  7  2  7  5  6  4  7
 [14785]  7  5  6  5  7  7  5  4  6  5  5  6  2  6  7  8  5  7  8  7  7  5  4  6
 [14809]  6  8  5  7  7  6  6  8  8  7  5  7  7  6  7  3  7  6  6  7  7  8  8  8
 [14833]  6  4  5  6  3  4  8  4  4  4  8  8  6  9  8  6  4  8  6  5  6  5  5  6
 [14857]  2  6  7  5  5  5  6  4  6  6  4  8  6  6  6  5  6  6  7  7  3  6  3  6
 [14881]  7  7  9  7  3  5  5  5  8  5  7  7  8  7  6  9  6  8  4  7  3  4  5  8
 [14905]  6  7  4  9  7  5  7  9  6  4  6  9  7  5  5  8  7  6  4  8  7  6  7  6
 [14929]  6  5  4  7  5  7  5  8  4  8  8  8  4  4  6  3  8  6  7  5  7  7  4  8
 [14953]  9  6  7  4  7  8  6  4  6  5  4  6  4  6  5  5  3  7  8  6  7  8  5  7
 [14977]  7  7  8  8  5  8  5  4  7  6 10  6  8  5  8  6  7  5  7  6  4  5  8  8
 [15001]  7  7  7  6  4  6  8  8  8  6  4  6  6  6  7 10  7  5 10  6  6  6  6  8
 [15025]  4  6  7  4  4  7  6  7  5  6  9  6  4  6  5  4  4  7  6  5  8  7  6  7
 [15049]  5  7  5  6  4  6  6  8  4  7  7  6 10  6  6  5  6  5  8  7  6  6  8  8
 [15073]  7  8  4  4 10  6  6  7  7  5  7  5  6  5  7  5  7  6  8  8  4  6  5  6
 [15097]  8  6  7  6  5  5  7  5  6  6  6  7  3  8  7  5  5  6  7  3  6  5  6  6
 [15121]  6  4  6  7  7  5  6  5  6  7  5  4  8  6  6  2  3  9  7  6  6  7  4  7
 [15145]  8  4  8  6  4  5  5  4  8  9  4 10  4  7  3  5  8  7  4  7  6  7  9  8
 [15169]  7  3  5  4  5  7  8  8  6  5  9  6  5  9  5  6  3  7  6  5  5  4  7  7
 [15193]  8  7  4  3  5  7  6  7  5  6  6  5  5  6  6  5  8  7  9  7  8  7  4  7
 [15217]  8  8  5  5  5  6  6  9  6  7  5  9  4  6  6  5  7  7  7  7  5  7  6  5
 [15241]  4  7  8  2  7  7  6  5  5  5  5  7  6  8  6  8  8  7  3  6  6  5  6  6
 [15265]  7  8  8  5  5  7  9  6  7  3  6  6  8  5  4  4  7  9  5  8  9  6  6  5
 [15289]  6  7  8  5  5  8  6  5  6  5  6  5  6  4  5  7  6  6  4  6  7  7  5  5
 [15313]  6  6  3  7  6  6  6  7  7  2  9  9  9  7  6  8  6  6  7  8  5  6  4  8
 [15337]  3  6  9  5  5  4  5  6  5  8  4  7  6  7  6  6  4  4  7  6  5  7  7  6
 [15361]  7  6  7  6  5  5  6  3  5  6  2  7  8  5  4  6  5  8  6  8  8  8  2  4
 [15385]  8  6  7  6  4  4  8  6  5  4  8  7  5  6  3  3  6  8  5  6  5  6  7  6
 [15409]  7  5  7  5  5  6  8  4  6  7  5  6  7  7  6  8  6  6  8  5  6  6  8  8
 [15433]  6  7  5  6  5  5  7  8  8  3  3  8  9  7  8  6  7  5  6  6  7  9  8  5
 [15457]  6  6  8  6  7  6  5  3  4  5  4  6  5  6  6  6  9  8  8  6  5  7  9  7
 [15481]  5  5  6  6  3  7  6  5  9  5  5  5  4  4  7  7  6  8  5  5  6  4  6  5
 [15505]  6  6  3  5  4  8  3  5  7  5  7  7  7  6  5  7  3  4  5  5  7  5  6  2
 [15529]  7  5  6  6  8  6  6  5  7  6  8  8  6  5  5  5  6  5  6  6  6  8  4  7
 [15553]  5  7  6  4  7  5  6  3  8  6  4  7  5  5  4  5  4  6  5  6  7  7  6  7
 [15577]  8  8  6  7  4  7  6  7  6  5  7  8  4  4  5  6  7  8  6  7  4  4  6  5
 [15601]  6  5  7  8  4  6  6  1  2  6  9  8  6  6  5  6  6  7  3  6  6  7  8  3
 [15625]  7  8  6  5  6  8  6  8  4  7  7  7  7  5  6  9  8  7  6  6  6  8  8  7
 [15649]  8  7  6  7  7  7  5  4  7  8  6  6  5  5  7  5  5  5  6  5  2  8  7  7
 [15673]  9  6  4  7  6  4  3  6  8  3  2  5  4  8  6  5  4  6  6  9  3  6  7  6
 [15697]  6  6  8  2  6  6  7  6  3  8  7  8  7  7  4  6  9  8  4  5  7  6  6  6
 [15721]  8  7  5  7  5  6  5  9  7  5  5  5  6  9  6  7  7  7  2  6  9  8  5  3
 [15745]  3  6  7  7  9  3  8  8  6  6  4  3  5  9  6  4  8  2  7  4  6  5  6  5
 [15769]  6  9  9  7  6  6  6  8  8  5  9  7  6  4  7  6  9  5  6  5  5  6  4  6
 [15793]  8  8  6  7  4  5  8  6  4  4  3  7  7  3  6  6 10  6  9  6  4  6 10  7
 [15817]  6  9  8  6  6  7  7  6  6  6  6  5  5  7  6  4  4  8  8  5  6  5  9  5
 [15841]  5  7  6  8  5  3  8  5  7  7  8  5  6  9  7  6  7  8  4  7  3  7  9  7
 [15865]  8  3  4  6  6  8  8  7  5  6  8  7  6  9  5  4  5  4  5  7  5  6  5  6
 [15889]  4  4  7  7  8  8  5  8  5  6  4  7  8  5  5  7  7  5  5  5  4  7  5  8
 [15913]  8  8  7  4  7  6  5  6  7  6  6  5  4  4  5  5  4  5  6  7  6  4  8  6
 [15937]  5  7  9  5  8  6  5  9  7  4  5  6  8  6  6  5  9  3  5  5  9  5  6  5
 [15961]  6  6  5  6  2  5  9  5  7  5  7  5  7  5  8  5  5  8  6  3  5  7  3  6
 [15985]  9  5  6  6  6  5  7  6  7  5  6  5  5  5  7  8  7 10  5  3  5  8  3  9
 [16009]  7  4  6  6  9  4  4  6  5  7  4  6  8  6  4  7  7  8  4  6  6  7  5  5
 [16033]  6  6  7  7  6  7  7  8  8  5  6  8  7  5  6  4  6  5  5  5  7  7  5  7
 [16057]  6  4  7  5  4  6  6  5  7  7  8  7  5  7  7  5  3  7  5  8 10  7  8  6
 [16081]  8  6  8  7  8  7  5  7  5  5  5  6  4  5  6  7  4  4  8  6  7  6  7  6
 [16105]  7  6  7  8  5  7  6  6  4  8  8  5  8  8  7  7  7  5  8  6  5  6  5  5
 [16129]  4  5  5  5  5  5  4  7  7  7  6  3  6  3  2  7  5  6  7  4  5  6  8  5
 [16153]  8  9  4  7  8  5  8  6  7  7  7  6  6  8  6  5  2  7  4  5  9  7  6  5
 [16177]  7  6  5  3  8  4  7  4  6  5  5  6  8  8  7  7  9  7  5  5  7  5  4  6
 [16201]  4  5  7  4  5  6  4  7  5  4  8  5  9  8  6  6  7  4  4  7  7  7  5  7
 [16225]  5  3  5  7  9  6  8  7  7  7  4  5  4  6  3  4  7  8  7  4  6  7  4  7
 [16249]  9  7  8  5  3  3  5  7  9  5  4  5  5  6  7  8  6  7  5  5  5  6  5  4
 [16273]  4  7  5  6  8  4  6  9  9  7  6  6  7  6  7  7  7  4  0  5  8  3  7  8
 [16297]  7  5  7  7  1  6  6  8  6  8  7  4  4  4  6  7  5  6  6  9  8  6  7  7
 [16321]  6  3  4  5  6  4  6  6  7  5  5  5  5  9  7  5  5  5  6  5  6  6  5  6
 [16345]  5  7  7  9  5  8  7  6  6  8  7  7  6  5  5  5  7  6  5  4  6  6  5  6
 [16369]  8  6  5  7  7  6  7  8  6  7  5  3  7  6  8  7  7  3  8  7  4  8  5  5
 [16393]  6  6  8  7  5  7  6  6  9  7  7  4  7  5  7 10  6  6  5  6  4  6  6  4
 [16417]  7  5  8  4  6  6  7  7  5  5  7  5  6  5  8  6  5  9  6  7  2 10  7  3
 [16441]  7  7  3  5  3  6  4  7  6  7  5  6  5  6  4  5  7  7  7  6  4  9  8  8
 [16465]  5  7  7  5  3  3  4  4  5  2  6  4  7  2  7  6  6  5  6  5  6  5 10  8
 [16489]  5  8  5  5  4  7  4  8  5  6  4  7  7  7  7  7  7  7  3  5  9  8  6  5
 [16513]  6  3  5  8  5  6  8  8  5  2  5  5  6  5  7  7  5  4  7  4  5  8  6  6
 [16537]  8  7  3  5  3  5  4  8  7  6  7  5  4  6  5  9  4  6  6  6  4  4  3  8
 [16561]  6  4  6  6  6  4  8  5  8  6  7  9  5  8  6  5  4  5  7  5  6  6  7  6
 [16585]  6  8  5  7  3  6  3  5  3  5  5  7  3  7  8  9  6  5  4  7  6  7  5  8
 [16609]  5  5  6  8  4  9  5  7  7  9  4  4  8  2  5  7  7  3  5  9  5  6  4  8
 [16633]  5  5  5  7  7  5  6  7  4  3  7  4  8  4  6  5  6  5  6  5  2  6  8  4
 [16657]  7  4  7  5  4  5  4  5  7  8  8  7  7  7  9  5  5  9  6  5  9  5  6  5
 [16681]  6  8  5  4  6  9  7  8  7  7  4  8  7  7  6  5  5  8  5  6  8  7  5  5
 [16705]  4  8  3  5  8  5  8  7  5  9  7  8  4  7  8  6  5  4  5  7  5  5  5  6
 [16729]  6  7  8  7  6  9  5  8  9  5  4  3  6  5  8  6  6  9  5  4  5  6  7  7
 [16753]  2  5  6  4  6  6  5  6  5  5  5  5  6  5  6  5  8  6  5  5  5  7  7  5
 [16777]  5  5  6  9  5  8  7  7  4  6  8  5  3  8  6  5  8  6  8  8  9  6  6  8
 [16801]  6  9  7  6  6  4  8  6  4  5  6  3  6  5  3  7  4  5  8  6  4  3  8  7
 [16825]  2  5  4  6  8  8  7  6  4  6  8  7  2  5  4  6  5  8  7  7  3  5  6  6
 [16849]  4  7  7  7  5  5  8  7  7  6  6  7  4  3  6  5  7  6  8  5  7  7  6  5
 [16873]  5  6  6  6  7  5  9  4  5  6  7  3  6  7  6  7  9  7  6  6  3  4  3  5
 [16897]  8  9  6  5  9  3  7  5  3  5  5  6  7  8  7  6  6  6  8  4  6  5  7  4
 [16921]  8  8  7  5  4  6  8  5  7  6  9  6  5  5  6  8  7  4  5  5  6  4  5  4
 [16945]  7  7  7  5  4  6  5  2  5  4  5  6  6  8  7  8  3  7  6  3  7  6  3  2
 [16969]  3  5  7  4  6  6  6  8  5  9  7  2  6  8  6  5  6  5  8  6  6  6  5  9
 [16993]  6  9  7  5  5  8  6  7  5  8  8  4  3  4  8  9  7  5  5  7  5  8  8  8
 [17017]  7  6  5  6  3  8  3  5  3  5  4  6  5  6  6  7  5  7  7  8  9  3  4  3
 [17041]  7  7  5  6  9  5 10  7  6  6  8  8  7  7  6  6  7  8  6  5  7  7  8  6
 [17065]  6  9  4  6  8  3  5  7  7  7  8  5  5  5  5  6  4  3  5  5  6  8  4  6
 [17089]  7  6  6  9  7  8  5  5  7  3  5  7  8  5  7  7  6  4  6  8  7  8  4  7
 [17113]  5  5  6  6  6  4  6  5  4  6  5  5  9  6  6  7  6  5  8  6  7  4  3  6
 [17137]  2  8  4  6  7  7  4  3  5  7  3  8  7  4  5  5  2  5  9  4  5  7  4  8
 [17161]  5  6  5  8  7  7  7  8  8  4  9  3  5  5  6  9  6  7  6  4  7  8  3  7
 [17185]  5  6  6  3  8  8  8  4  7  6  5  6  5  4  7  5  7  7  7  7  8  3  6  8
 [17209]  4  6 10  5  6  7  4  6  7  7  6  5  5  6  5  6  6  7  9  4  7  5  6  9
 [17233]  4  4  6  6  5  6  5  8  8  5  5  7  5  6  8  2  9  6  6  4  5  8  7  4
 [17257]  4  4  8  8  3  3  5  6  4  2  5  8  5  7  5  6  4  5  4  6  6  7  3  5
 [17281]  8  5  8  5  2  7  7  2  4  7  5  5  7  7  6  5  7  7  6  5  7  5  8  5
 [17305]  5  5  6  7  6  5  7  7  5  6  8  7  6  5  7  6  6  7  7  3  6  6  5  8
 [17329]  7  6  7  6  6  8  8  7  6  8  3  5  7  7  6  4  8  7  7  8  5  6  5  7
 [17353]  6  6  6  7  8  5  6  5  6  6  7  5  5  6  6  8  7  5  7  5  7  6  8  3
 [17377]  8  4  7  7  7  7  6  6  9  5  8  4  4  6  7  5  6  2  5  6  6  5  4  5
 [17401]  5  5  3  6  5  7  3  7  6  6  8  4  4  5  7  4  5  7  3  6  5  3  8  8
 [17425]  4  6  5  5  6  7  7  6  6  6  8  4  9 10  7  5  6  6  8  6  9  7  5  4
 [17449]  7  7  6  6  9  5  5  7  7  6  4  5  6  6  6  7  6  6  6  6  5  4  3  7
 [17473]  6  7  6  6  6  7  8  4  6  7  8  6  8  6  4  3  8  6  3  6  5  7  3  8
 [17497]  5 10  6  6  3  7  6  5  7  5  7  6  7  7  5  6  5  9  6  8  9  7  8  3
 [17521]  9  7  8  3  3  7  4  5  7  7  4  6  6  5  6  5  4  5  6  6  4 10  6  6
 [17545]  8  4  5  8  6  5  7  5  6  7  6  4  5  6  6  5  6  5  8  7  6  3  6  6
 [17569]  7  6  7  5  6  7  6  6  5  3  4  5  6  6  6  7  3  4  7  7  7  7  5  8
 [17593]  6  8  5  5  5  8  2  7  4  5  5  3  6  5  7  3  6  6  8  5  5  7  5  5
 [17617]  4  5  8  6  6  7  8  5  6  6  6  7  5  3  6  5  7  7  6  9  7  8  5  5
 [17641]  5  6  8  5  5  8  5  6  5  6  5  7  7  5  7  5  4  7  5  8  7  5  5  8
 [17665]  3  6  6  7  7  6  7  7  8  4  6  6  5  6  6  6  5  6  6  7  5  4  7  5
 [17689]  6  8  6  5  4  6  9  6  2  9  7  7  4  5  6  7  6  6  6  5  9  8  2  8
 [17713]  6  8  5  7  7  5  7  5  4  7  5  3  4  4  7  5  8  4  7  6  3  7  8  5
 [17737]  3  5  7  4  8  8  8  4  5  8  6  6 10  9  7  6  4  6  7  5  4  5  7  7
 [17761]  5  8  7  4  5  6  9  7  6  7  4  5  7  6  3  5  7  7  7  7  8  6  5  5
 [17785]  8  8  8  7  6  6  9  7  7  6  3  6  6  7  5  6  8  4  9  5  5  4  6  7
 [17809]  3  8  4  5  9  4  4  5  8  5  6  4  6  5  7  9  7  8  6  5  6  7  8  8
 [17833]  3  5  4  3  7  5  9  9  4  5  3  7  8  6  6  4  8  5  7  6  5  5  8  7
 [17857]  8  7  7  6  7  8  6  3  6  6  9  9  8  6  6  4  5  5  4  4  5  6  6  6
 [17881]  5  3  8  7  9  7  6  5  6  6  7  6  9  5  8  5  4  5  8  6  6  9  7  5
 [17905]  3  6  6  7  3  7  4  4  8  9  6  5  5  7  7  8  7  7  6  7  9  6  9  7
 [17929]  7  5  5  8  4  6  9  5  6  5  7  5  7  6  4  7  3  5  7  6  6  6  9  7
 [17953]  2  7  6  8  5  6  5  8  8  6  6  4  8  4  6  5  6  4  8  6  8  7  6  8
 [17977]  6  4  6  4  3  7  7  8  7  8  8  5  2  6  7  6  4  8  8  8  4  4  6  7
 [18001]  7  7  6  6  4  9  5  4  6  7  7  9  8  6  8  7  8  5  5  6  7  5  5  7
 [18025]  5  3  5  7  3  6  7  7  7  4  7  5  4  7  7  7  6  6  7  6  6  7  6  6
 [18049]  7  7  5  7  8  6  5  8  7  8  7  4  4  5  6  8  6  3  4  5  5  6  6  5
 [18073]  7  5  6  5  7  5  5  8  8  8  7  8  2  8  4  8  8  5  7  5  6  6  7  3
 [18097]  5  4  6  5  4  6  6  6  5  5  5  7  8  6  8  5  6  6  9  6  7  8  5  7
 [18121]  5  7  7  7  6  5  8  5  6  4  5  9  4  9  8  5  7  7  6  5  6  7  8  6
 [18145]  6  4  5  5  4  6  8  7  5  8  7  5  9  7  3  8  8  2  7  9  7  8  6  5
 [18169]  6  7  8  7  7  6  5  5  7  5  6  4  6  6  5  6  5  5  5  5  4  6  6  8
 [18193]  7  7  7  3  7  6  7  7  4  6  4  9  5  4  6  6  6  6  7  6  5  6  8  7
 [18217]  8  7  5  7  7  7  5  6  6  6  6  8  6  7  7  5  3  6  7  5  2  7  6  1
 [18241]  6  7  5  3  5  6  8  7  6  5  6  5  8  4  8  6  7  7  5  7  7  6  7  4
 [18265]  8  6  9  3  5  6  5  7  8  3  8  7  6  4  3  5  3  7  7  6  7  5  3  6
 [18289]  4  7  8  6  8  7  5  6  6  5 10  7  6  6  4  6  6  8  5  5  7  6  6  6
 [18313]  5  6  6  3  6  4  6  5  8  5  7  6  7  6  8  6  4  4  7  5  6  7  4  7
 [18337]  7  6  7  2  6  8  6  6  6  7  7  7  7  6  5  9 10  7  4  6  6  8  8  5
 [18361]  9  3  7  3  4  5  5  6  6  5  6  8  4  7  6  7  6  9  7  5  6  8  9  5
 [18385]  6  7  2  7  6  5  5  6  7  6  4  7  5  6  6  6  7  6  7  5  7  3  5  7
 [18409]  6  6  4  7  7  7  8  4  9  6  9  7  5  6  6  8  5  3  5  6  7  3  3  8
 [18433]  3  7  6  8  6  7  5  6  5  8  4  5  5  6  6  7  5  8  7  5  7  8  8  6
 [18457]  8  7  7  6  5  5  4  5  6  6  6  8  9  6  6  6  7  8  8  4  8  6  7  8
 [18481]  7  6  4  7  3  7  5  6  6  8  3  6  5  7  6  7  4  9  8  6  5  7  6  6
 [18505]  5  7  7  3  7  6  4  8  5  7  7  7  7  8  7  9  6  6  5  7  8  7  5  6
 [18529]  5  6  6  5  6  5  7  4  9  6  7  6  8  5  6  6  9  4  6  7  2  2  4  5
 [18553]  4  7  6  5  7  8  8  6  5  4  5  4  5  8  7  6  7  4  8  5  6 10  7  8
 [18577]  8  5  8  8  6  7  6  7  5  4  9  7  4  5  7  8  6  6  4  6  7  4  7  8
 [18601]  6  6  8  5  7  6  7  4  6  8  5  6  4  7  7  6  6  7  6  8  6  7  6  4
 [18625]  7  6  6  7  7  8  6  3  6  6  8  9  4  6  6  6  7  6  5  7  8  5  3  6
 [18649]  5  6  6  8  4  6  6  7  7  8  8  7  6  6  5  6  6  6  8  4  5  6  7  6
 [18673]  6  7  4  6  6  6  5  7  7  7  6  6  8  7  5  6  7  7  8  7  7  6  5  6
 [18697]  6  5  9  8  9  9  7  5  7  7  6  4  7  8  7  9  6  7  5  7  7  8  5  8
 [18721]  9  7  7  4  6  7  7  5  5  7  8  6  5  9  5  6  6  4  6  6  5  5  6  6
 [18745]  6  7  8  8  7  5  5  5  7  6  7  6  4  6  6  2  5  5  4  6  6  8  7  6
 [18769]  4  5  9  6  5  5  6  8  4  4  6  8  6  6  8  5  7  8  8  4  5  3  6  5
 [18793]  7  7  6  5  4  6  7  5  5  7  6  6  8  5  8  8  4  8  4  5  4  6  8  4
 [18817]  7  7  3  4  5  7  5  6  3  5  8  3  7  6  7  4  7  5  8  4  6  5  6  5
 [18841]  7  6  3  3  6  2  9  4  7  8 10  4  6  8  5  7  7  8  6  7  6  5  7  6
 [18865]  4  8  3  8  5  4  5  7  2  8  6  5  6  5  8  5  6  8  7  9  6  6  6  9
 [18889]  6  7  6  8  9  3  4  7  5  6  9  6  6  5  4  6  3  7  2  7  7  7  5  5
 [18913]  4  6  7  4  5  5  6  5  4  9  6  5  6  7  5  8  8  5  5  7  7  6  5  6
 [18937]  6  5  6  7  7  6  6  7  7  5  5  5  3  7  5  5  8  6  8  6  6  9  4  5
 [18961]  4  7  8  6  6  4  6  7  6  7  8  5  5  7  9  7  5  7  8  7  7  6  6  5
 [18985]  7  8  7  6  5 10  4  5  6  6  7  5  7  7  5  7  7  7  8  6  6  7  5  2
 [19009]  5  5  3  3  2  7  5  6  6  8  4  6  5  8  3  5  5  7  6  7  5  5  6  7
 [19033]  5  4  4  5  8  9  7  8  7  7  7  6  6  5  7  7  5  6  4  5  7  8  5  6
 [19057]  6  9  7  4  6  6  7  2  8  7  9  8  3  4  6  6  7  4  4  5  3  6  7  3
 [19081]  8  5  6  9  8  6  7  3  6  5  7  6  3  4  6  9  6  5  3 10  4  5  7  9
 [19105]  6  6  7  5  7  5  8  5  5  6  6  6  5  6  6  7  8  7  8  8  5  4  7  6
 [19129]  8  6  8  6  7  9  5  6  7  6  7  4  6  6  6  8  5  3  6  4  6  6  7  5
 [19153]  8  7  6  8  8  6  4  7  6  8  9  8  8  8  5  6  9  5  5  6  6  4  7  6
 [19177]  7  3  8  6  8  8  7  6  8  7  6  5  7  8  6  6  5  5  6  4  5  7  6  6
 [19201]  7  7  6  6  4  6  4  5  5  7  8  3  6  8  4  6  8  6  4  6  8  5  6  6
 [19225]  4  5  6  8  5  4  6  7  7  6  4  5  5  6  7  3  8  7  6  8  7  4  5  5
 [19249]  4  8  3  7  6  5  6  5  7  6  7  5  9  6  8  8  5  8  3  4  8  6  5  7
 [19273]  7  6  5 10  3  9  7  3  9  7  6  3  5  8  5  5  5  4  6  7  1  4  5  6
 [19297]  7  4  6  4  5  6  5  7  6  8  6  8  5  6  7  5  6  8  5  6  7  8  5  4
 [19321]  8  6  5  7  4  5  7  7  8  6  6  7  6  4  8  4  5  5  9  7  7  8  3  7
 [19345]  5  4  6  6 10  5  6  5  8  5  6  6  6  7  5  7  7  4  6  3  7  7  6  7
 [19369]  7  6  5  6  7  7  8  6  6  4  7  6  5  5  8  8  6  5  4  7  7  6  5  6
 [19393]  5  8  5  8  8  7  7  7  6  3  8  6  7  6  5  5  4  8  6  6  7  6  7  8
 [19417]  3  5  7  8  5  7  8  6  8  5  7  4  5  5  5  4  6  5  5  4  6  5  5  8
 [19441]  8  5  6  9  6  4  6  6  7  6  3  7  7  4  6  3  7  6  6  3  5  5  9  6
 [19465]  6  2  6  8  8  6  6  9  6  7  6  8  7  6  2  8  7  8  8  5  7  7  5  6
 [19489]  7  6  6  7  7  8  7  7  4  8  9  4  6  4  6  8  4 10  6  8  4  8  6  6
 [19513]  7  5  5  4  8  6  8  8  4  6  6  8  8  6  7  6  5  7  6  6  7  5  7  5
 [19537]  6  4  5  7  7  9  5  5  5  6  6  5  9  7  7  6  5  7  3  7  5  4  8  7
 [19561]  6  7  7  7  7  8  8  5  7  6  5  4  3  5  5  8  8  8  7  7  3  8  7  8
 [19585]  7  5  7  5  2  5  5  5  6  7  4  2  8  6  6  5  5  7  8  6  7  6  5  8
 [19609]  8  6  9  5  6  8  3  5  7  5  8  4  6  8  4  4  7  2  5  7  6  7  9  7
 [19633]  6  8  5  7  6  6  6  8  7  7  7  9  6 10  4  8  8  6  7  7  6  6  8  6
 [19657]  8  4  6  6  7  4  5  3  7  8  8  7  2  4  7  7  2  7  7  5  5  6  7  4
 [19681]  4  7  7  8  6  5  5  5  7  8  7  5  6  8  9  7  6  4  7  5  6  6  8  6
 [19705]  5  4  6  9  8  5  4  6  6  8  9  9  4  9  7  7  6  6  3  7  5  8  6  7
 [19729]  6  8  7  3  5  6  6  2  7  6  7  4  5  8  7  8  5  7  5  3  8  7  4  5
 [19753]  7  7  4  4  5  7  8  5  5  4  7  5  7  4  5  6  4  6  7  7  6  4  8  3
 [19777]  9  8  9  4  7  3  4  7  7  6  8  4  6  8  8  6  5  6  6  5  5  7  7  7
 [19801]  6  6  6  6  5  6  6  7  7  4  5  8  5  7  6  6  7  5  5  4  3  8  4  6
 [19825]  7  6  6  8  7  5  6  7  7  5  3  3  7  6  7  8  6  8  6  6  5  6  5  7
 [19849]  8  3  7  6  7  6  5  7  6  6  5  7  6  5  7  5  5  7  2  8  6  6 10  7
 [19873]  7  5  6  5  8  6  6  7  7  5  5  6  5  4  9  8  5  7  4  7  7  8  7  6
 [19897]  9  6  5  7  3  5  6  3  4  5  4  6  6  3  6  6  3  6  7  5  8  9  4  4
 [19921]  7  5  8  5  7  9  7  6  8  8  2  5  6  7  5  7  9  8  6  7  9  8  5  7
 [19945]  5  7  7  7  7  5  4  7  8  5  6  6  5  6  5  4  6  4  6  7  8  5  5  7
 [19969]  7  5  8  6  7  6  7  7  4  8  7  5  2  7  6  8  5  7  7  6  6  6  4  8
 [19993]  4  8  6  5  8  5  6  6  6  9  6  7  4  6  8  4  8  5  5  5  6  8  5  5
 [20017]  8  4  7  6  6  9  3  7  3  6  6  8  4  3  7  6  7  8  6  7  8  9  6  6
 [20041]  6  6  8  5  8  7  1  8  7  8  5  8  7  8  4  2  7  5  5  4  5  8  7  7
 [20065]  7  7  4  6  4  4  6  5  8  6  5  8  7  7  6  5  4  7  8  6  5  6  6  5
 [20089]  6  6  6  7  7  8  6  4  7  5  6  3  7  6  6  8  4  4  7  6  7  7  7  6
 [20113]  4  8  7  5  4  7  6  7  7  6  5  6  7  4  7  6  7  6  5  5  3  5  8  5
 [20137]  7  6  8  6  8  7  6  7  6  6  7  7  7  5  5  5  9  5  4  5  6  7  5  6
 [20161]  6  7  6  7  6  4  7  5  4  6  6  6  8  5  5  5  7  7  9  7  6  6  6  6
 [20185]  5  8  4  5  5  6  7  7  5  8  6  5  5  1  7  4  7  7  4  4  6  5  5  8
 [20209]  7  7 10  3  7  4  6  7  3  5  6  6  9  4  7  7  8  4  5  7  6  5  5  6
 [20233]  5  6  7  5  4  6  7  8  6  7  7  7  9  5  7  5  9  7  8  8  6  2  6  5
 [20257]  5  8  7  8  5  8  4  7  7  6  5  4  8  6  7  8  6  4  5  6  7  7  6  6
 [20281]  6  6  5  6  5  8  6  7  6  7  6  7  7  3  2  9  6  7  5  8  8  6  6  7
 [20305]  6  5  5  5  5  5  6  6  5  7  5  8  4  7  4  7  5  7  8  6  7  5  7  8
 [20329]  4  4  6  7  7  5  3  9  4  6  6  7  5  8  8  9  5  6  7  8  6  6  7  8
 [20353]  9  8  8  6  5  7  8  7  7  6  7  6  6  5  5  4  7  7  7  6  5  6  6  6
 [20377]  4  7  6  4  4  7  7  8  5  6  6  7  7  6  6  6  6  7  3  4  4  7  7  8
 [20401]  6  6  5  5  8  6  6  6  6  7  4  7  5  7  5  7  5  6  5  5  2  7  6  3
 [20425]  5  5  4  4  8  7  6  4  7  9  7  7  7  8  7  9  7  6  5  7  5  7  6  8
 [20449]  6  7  3  5  8  8  6  9  5  6  6  5  7  3  5  4  6  7  7  8  6  7  6  5
 [20473]  6  5  4  5  5  5  5  8  7  7  5  8  6  5  5  4  5  7  7  6  6  5  7  7
 [20497]  7  9  3  9  4  9  7  8  7  4  4  5  6  7  6  7  6  7  4  6  6  6  6  6
 [20521]  5  7  5  8  5  8  4  6  7  7  6  6  7  4  5  6  6  8  6  3 10  5  6  7
 [20545]  6  7  2  6  8  4  5  8  5  3  6  7  5  7  5  5  6  7  7  6  7  7  9  5
 [20569]  6  4  6  6  4  6  5  6  5  5  8  6  5  5  7  7  6  6  3  5  8  5  6  6
 [20593]  6  5  5  5  3  5  9  7  4  4  7  7  6  7  4  4  4  6  4  6  3  7  9  5
 [20617]  7  6  7  7  5  8  7  3  7  7  6 10  9  9  5  4  6  6  4  4  8  9  6  7
 [20641]  4  8  9  5  5  7  6  5  8  8  7  6  7  5  6  8  4  7  6  6  7  4  7  7
 [20665]  5  7  6  9  5  5  6  8  6  5  8  5  8  5  8 10  6  8  6  6  3  4  4  5
 [20689]  4  6  5  5  7  5  5  6  6  7  7  8  6  8  7  6  2  7  7  4  6  6  8  6
 [20713]  8  6  5  6  5  8  4  3  7  5  7  6  2  4  5  6  6  5  7  7  7  4  7  5
 [20737]  5  8  6  5  6  5  8  4  3  4  5  7  7  5  6  3  7  4  7  6  7  8  5  8
 [20761]  5  4  5  3  6  5  7  5 10  4  5  6  7  5  3  5  6  5  6  7  5 10  7  5
 [20785]  5  7  4  7  6  4  3  2  7  6  5  8  5  5  6  7  4  5  6  8  6  7  6  7
 [20809]  5  5  7  6  8  7  8  5  7  5  5  6  5  4  6  4  5  5  4  6  8  5  6  7
 [20833]  6  7  4  7  7  7  6  3  4  6  4  3  5  8  6  5  5  8  9  7  8  5  8  5
 [20857]  4  6  5  6  4  7  5  8  6  6  5  8  5  4  4  6  7  7  5  3  8  5  9  5
 [20881]  8  5  9  7  7  6  8  4  3  4  5  6  6  8  7 10  4  5  6  6  7  9  6  3
 [20905]  6  4  6  8  3  7  4  9  5  4  7  6  4  5  5  6  8  6  7  8  3 10  9  5
 [20929]  7  5  6  9  8  6  4  6  7  4  7  4  8  5  6  9  7  7  7  7  6  5  4  7
 [20953]  7  7  7  7  6  8  6  6  9  9  8  7  6  4  5  6  6  6  7  6  6  7  4  6
 [20977]  5  7  8  6  4  8  7  6  5  4  6  5  6  5  5  8  2  5  6  4  7  7  4  7
 [21001]  7  5  6  6  7  5  5  6  8  5  8  5  5  4  4  4  5  6  5  4  8  5  5  5
 [21025]  7  5  6  7  4  5  8  5  5  4  9  7  8  8  6  7  3  7  7  4  7  7  6  5
 [21049]  4  4  5  3  6  8  4  7  6  5  6  7  6  6  4  7  7  7  8  5  7  5  6  5
 [21073]  5  7  5  6  3  5  6  9  3  7  4  5  5  3  6  4  6  4  9  8  8  5  7  6
 [21097]  6  4  4  6  7  7  6  5  9  6  2  7  6  7  9  5  4  5  4  7  5  4  5  6
 [21121]  6  4  4  6  6  7  9  7  3  7  4  5  5  8  8  3  5  7  6  7  4  6  3  5
 [21145]  7  5  5  7  4  7  4  8  6 10  7  6  5  8  5  7  7  8  8  6  5  4  6  4
 [21169]  7  5  6  7  4  6  6  8  6 10  7  5  6  6  6  4  6  5  5  7  4  8  8  5
 [21193]  5  9  7  5  5  9  9  8  2  6  6  7  6  6  6  6  7  8  6  7  5  6  7  6
 [21217]  5  6  7  7  5  8  6  5  9  6  6  6  6  6  5  9  3  6  6 10  4  8  6  7
 [21241]  7  6  7  4  4  8  6  3  5  8  6  7  7  6  6  5  7  5  9  6  7  6  8  4
 [21265]  8  6  7  7  5  3  7  4  7  5  8  5  6  5  5  7  5  4  5  5  5  3  8  5
 [21289]  6  5  7  8  6  5  4  6  6  6  5  5  5  4  5  5  8  7  5  5  5  6  8  7
 [21313]  7  6  9  4  6  5  6  7  8  5  7  5  8  7  5  7  7  6  5  7  6  5  5  7
 [21337]  7  5  5  6  6  6  5  5  5  4  5  5  6  5  5  7  7  7  9  4  5  5  6  6
 [21361]  7  8  7  5  6  6  9  5  4  7  6  8  6  8  5  7  8  7  3  7  3  9  8  2
 [21385]  8  7  6  4  5  7 10  6  2  6  7  7  6  7  6  6  7  2  7  9  6  5  4  4
 [21409]  4  6  8  4  7  7  3  8  4  7  8  7  3  8  8  4  7  3  6  7  6  4  9  8
 [21433]  8  6  5  6 10  8  5  8  8  5  6  8  6  5  4  7  7  5  7  7  5  5  7  7
 [21457]  5  8  4  7  7  6  5  4  7  4  5  5  7  7  3  7  4  5  6  6 10  7  4  5
 [21481]  6  6  8  4  6  7  6  7  7  7  4  5  7  6  6  7  8  7  5  8  6  6  8  6
 [21505]  7  4  5  3  4  7  5  5  7  6  3  9  7  6  8  6  7  4  4  6  7  5  5  4
 [21529]  3  3  7  7  7  6  7  7  2 10  7  8  6  5  5  4  8  7  5  6  5  7  6  6
 [21553]  7  7  6  5  5  5  7  3  5  4  6  8  7  8  4  7  8  6  6  6  6  7  6  8
 [21577]  6  3  7  4  7  9  7  5  5  5  4  8  5  6  5  7  3  6  2  5  7  8  9  6
 [21601]  5  6  7  5  5  7  8  9  5  7  8  4  3  5  7  6  4  7  7  6  5  9  7  6
 [21625]  5  6  4  8  3  6  6  5  8  5  7  9  3  6  6  5  7  5  5  7  8  5  7  4
 [21649]  7  4 10  7  5  5  7  5  6  6  5  5  6  6  4  2  7  5  6  7  8  4  4  5
 [21673]  5  6  8  6  5  8  5  7  5  1  3  6  7  5  6  6  5  7  6  8  7  7  5  7
 [21697]  5  6  8  4  6  6  6  3  6  6  4  5  7  7  6  7  8  7  7  6  6  8  7  9
 [21721]  7  4  5  4  6  5  7  6  8  8  5  9  8  7  5  4  6  8  5  5  8  4  6  8
 [21745]  6  3  3  5  4  4  7  5  3  6  8  4  5  6  6  5  4  6  5  3  6  7  7  7
 [21769]  8  6  4  5  6  6  7  4  5  8  5  6  6  7  8  7  5  9  2  6  8  7  7  5
 [21793]  4  5  6  3  5  6  6  6  7  4  5  7  6  7  8  4  9  6  6  8  9  5  7  6
 [21817]  6  8  2  5 10  8  4  9  7  8  9  3  8  5  5  8  6  8  6  6  7  3  6  5
 [21841]  8  5  5  7  4  7  5  6  8  4  7  6  5  8  5  7  9  6  8  7  7  8  9  5
 [21865]  5  6  7  7  5  3  6  7  4  7 10  9  7  6  5  6  6  8  6  7  4  4  7  3
 [21889]  2  6  6  3  7  6  6  5  5  4  4  9  4  8  7  7  9  7  5  5  6  5  3  8
 [21913]  5  5  4  3  6  3  6  5  6  4  4  4  5  5  7  7  6  7  7  6 10  6  7  6
 [21937]  7  8  7  7  5  5  8  5  7  9  6  7  6  7  7  7  4  5  2  4  6  8  6  6
 [21961]  4  7  5  3  5  5  8  9  7  4  8  5  8  8  8  4  5  5  8  4  6  8  7  6
 [21985]  6  6  8  4  5  5  6  5  5  5  7  7  8  4  8  5  7  2  7  5  6  6  6  5
 [22009]  5  9  5  5  6  6  5  9  4  7  5  5  4  5  4  5  6  8  6  6  5  4  5  8
 [22033]  6  5  7  7  5  7  7  5  7  5  6  7  7  5  6  4  2  6  5  2  7  4  2  5
 [22057]  7  8  6  7  4  5  4  6  4  6  7  6  8  8  4  4  6  5  6  8  5  6  9  8
 [22081]  6  6  5  5  5  5  4  7  7  8  6  3  6  7  6  4  7  5  7  4  6  4  8  7
 [22105]  8  6  7  8  8  8  2  7  5  7  5  5  7  5  8  5  7  5  4  6  4  7  7  8
 [22129]  9  7  7  6  6  7  5  7  7  7  8  7  5  5  7  7  6  7  6  6  7  5  6  7
 [22153]  5  5  7  4  6  7  4  6  6  5  8  6  8  7  5  7  7  4  6  5  4  4  4  5
 [22177]  6  4  6  7  6  4  7  6  6  6  4  5  7  8  5  7  5  5  5  9  5  7  7  5
 [22201]  5  8  5  7 10  4  6  9  5  7  6  6  6  5  5  5  7  6  4  6  5  4  7  6
 [22225]  5  4  4  3  7  7  7  7  7  6  9 10  6  6  8  7  4  6  5  5  7  5  8  7
 [22249]  5  4  5  4  6  5  4  3  9  6  6  5  6  5  5  7  8  5  5  6  7  5  5  7
 [22273]  7  7  8  4  8  8  4  7  6  8  8  7  6  7  7  6  8  7  6  6  7  5  7  6
 [22297]  4  5  6  6  5  9  4  7  6  8  8  9  5  5  4  5  7  1  2  8  6  4  6  4
 [22321]  5  5  4  7  8  7  4  7  4  9  4  5  5  8 10  7  6  4  5  8  5  4  6  4
 [22345]  4  4  5  5  6  6  7  5  7  5  4  8  6  7  4  6  9  7  7  5  9  6  5  7
 [22369]  5  4  7  4  5  7  4  7  4  5  7  6  6  9  4  5  6  7  3  6  4  7  4  5
 [22393]  8  8  5  5  6  9  4  6  7  5  6  8  5  5  5  5  7  8  3  9  5  8  8  5
 [22417]  9  6  6  6  5  5  5  7  6  8  7  5  7  6  5  5  7  9  4  5  7  5  3  5
 [22441]  5  7  6  8  8  6  4  4  6  7  7  9  8  5  6  3  7  4  4  7  5  6  8  5
 [22465]  7  4  6  5  6  6  7  2  4  4  7  7  6  5  6  5  6  5  7  6  6  8  4  8
 [22489]  8  8  7  4  4  6  3  6  5  5 10  6  5  6  6  9  5  5  6  5  8  5  7  7
 [22513]  6  9  7  5  5  9  6  7  6  5  7  7  5  8  6  7  4  5  7  5  7  4  6  6
 [22537]  8  7  4  5  3  3  7  5  5  5  6  6  6  4  6  3  6  6  7  7  6  6  5  5
 [22561]  5  4  7  9  4  5  6  5  4  3  7  5  7  5  6  9  5  5  5  6  5  6  7  7
 [22585]  5  6  6  7  6  8  9  7  6  4  6  3  7  7  5  5  7  5  4  6  7  4  6  7
 [22609]  7  6  5  7  5  9  5  7  7  8  7  7  6  7  7  5  7  7  4  6  5  5  3  5
 [22633]  5  4  6  4  8  8  5  7  7  4  4  6  3  6  7  4  7  3  5  6  6  5  5  5
 [22657]  5  3  6  4  7  5  4  6  7  8  5  7  5  2  9  5  9  7  7  5  3  7  7  4
 [22681]  6  6  7  8 10  7  4  6  5  6  6  6  8  6  4  8  5  6  5  7  5  7  6  5
 [22705]  5  4  6  2  4  7  5  5  5  6  5  6  7  7  5  7  4  6  5  7  7  6  7  5
 [22729]  7  6  5  4  5  3  7  2  4  5  5  5  6  6  6  6  8  5  2  7  7  7  6  8
 [22753]  7  6  5  6  5  5  7  8  6  8  9  7  4  6  7  4  7  4  5  5  7  3  7  3
 [22777]  9  7  7  8  8  8  5  6  6  4  6  7  3  4 10  4  6  6  6  9  5  5  8  4
 [22801]  7  8  7  5  6  3  6  6  5  4  7  7  6  5  6  7  6  8  8  5  3  4  4  5
 [22825]  6  6  6  6  7  7  6  5  8  7  5  7  9  8  8  5  3  5  6  5  6  6  6  4
 [22849]  7  4  5  5  6  8  5  4  3  8  4  5  7  4  6  8  5  5  7  5  8  6  6  5
 [22873]  4  5  7  7  6  7  8  6  4  6  7  7  5  5  8  7  7  5  3  5  3  4  7  5
 [22897]  5  2  7  7  7  9  5  5  6  6  4  7  4  6  8  9  7  3  7  5  5  5  7  7
 [22921]  8  6  6  9  7  5  7  7  4  7  8  7  9  3  4  5  4  5  4  8  7  5  4  9
 [22945]  6  4  6  6  8  6  5  3  8  4  8  8  8  5  4  3  9  5  5  6  5  6  4  6
 [22969]  3  8  8  9  4  9  8  6  6  6  5  8  7  6  6  6  3  7  6  9  7  7  5  7
 [22993]  7  5  6  7  5  5  7  4  4  6  4  5  6  7  5  8  4  7  8  4  5  4  8  6
 [23017]  7  7  4  8  5  4  3 10  5  5  5  7 10  8  8  5  6  5  9  7  7  6  7  7
 [23041]  5  1  6  5  5  4  7  7  6  6  8  6  5  5  8  6  5  5  2  7  6  6  5  4
 [23065]  4  8  5  5  4  9  7  3  9  3  5  8  6  5  7  6  6  3  8  5  8  5  4  4
 [23089]  4  4  6  6  4  5  5  5  6  5  9  6  4  7  3  6  6  5  6  7  6  5  6  6
 [23113]  8  7  7  5  4  3  6  4  6  7  5  6  4  6  7  7  6  5  7  6  6  5  4 10
 [23137]  4  6  6  5  6  7  7  8  9  4  8  8  6  8  8  7  5  8  5  6  7  5  6  4
 [23161]  5  2  8  8  9  4  5  6  4  4  3  9  5  7  8  4  8  6  7  5  5  7  6  7
 [23185]  6  6  7  7  5  5  5  6  4  5  8  7  5  9  8  6  5  5  4  6  7  7  5  7
 [23209]  7  6  6  7  2  7  6  6  7  4  7  6  7  6  5  7  8  4  7  7  5  8  6  8
 [23233]  2  5  6  8  7  8  8  8  4  3  7  5  6  4  7  7  4  6  5  6  6  6  4  5
 [23257]  8  4  6  3  8  5  6  7  5  7  5  6  7  3  7  5  7  9  7  8  6  8  5  5
 [23281]  8  7  7  7  4  4  5  8  5  4  4  6  6  6  5  4  7  7  8  8  7  5  7  4
 [23305]  8  5  4  8  7  7  9  3  8  5  8  6  9  7  5  6  6  8  9  5  3  3  7  8
 [23329]  7  5  7  5 10  8  6  3  6  6  7  5  5  9  6  5  7  4  7  5  8  8  2  7
 [23353]  8  8  7  7  3  3  6  5  8  6  5  8  7  7  6  6  5  8  8  5  7  8  6  6
 [23377]  8  7  6  4  8  6  7  7  3  6  5  4  6  5  8  6  5  7  8  6  7  5  8  6
 [23401]  7  8  5  4  7  7  4  5  6  5  6  8  8  4  6  6  6  7  5  7  8  7  3  4
 [23425]  5  6  7  5  6  5  6  5  6  9  8  5  5  7  7  8  7  7  5  7  7  7  6  6
 [23449]  7  4  7  3  5  8  4  7  8  7  7  6  7  5  9  5  6  7  6  8  6  6  7  5
 [23473]  5  7  2  5  9  7  9  7  6  8  4  4  8  5  6  6  4  4  5  7  6  4  6  9
 [23497]  5  8  6  6  3  8  7  7  7  5  5  6  5  7  4  3  9  4  6  8  7  8  7  4
 [23521]  4  6  8  5  6  5  4  4  5  6  9  6  7  6  8  5  7  4  7  6  5  6  8  5
 [23545]  5  8  6  5  8  6  6  8  4  4  5  3  5  7  5  7  6  5  9  7  4  7  8  6
 [23569]  8  5  5  7  5  7  6  6  3  6  5  7  7  3  8  5  4  8  6  7  6  6  4  7
 [23593]  7  5  7  8  7  8  5  4  7  3  9  5  8  7  6  7  7  7  6  5  6  4  8  6
 [23617]  6  6  5  9  5  7  6  8  9  4  6  7  4  7  4  6  7  5  5  2  5  7  4  4
 [23641]  5  6  8  6  5  6  9  7  4  6  4  5  6  4  9  6  4  5  5  9  4  6  6  5
 [23665]  6  6  4  6  5  3  8  5  5  4  5  9  5  6  5  5  5  7  5  7  6  9  4  7
 [23689]  7  2  5  7  9  7  6  9  6  5  7  9  8  6  9  4  6  4  9  7  6  4  8  7
 [23713]  4  6  5  8  7  9  5  5  3  4  5  5  5  7  7  4  7  3  6  4  5  6  7  5
 [23737]  7  6  7  6  7  3  6  5  8  6  8  7  4  8  5  7  5  5  8  8 10  7  5  7
 [23761]  5  9  5  7  5  6  5  8  6  5  8  7  6  7  4  4  7  6  8  6  9  7  6  6
 [23785]  5  6  5  7  5  6  4  6  4  6  7  3  7  4  5  6  3  5  6  7  5  5  4  6
 [23809]  7  4  6  7  5  8  5  6  7  6  8  6  5  7  8  6  7  5  4  6  7  7  6  5
 [23833]  7  7  6  7  5  8  4  3  5  7  6  4  7  7  6  8  5  7  3  3  6  7  7  6
 [23857]  8  6  7  6  4  7  8  3  8  4  6  4 10  6  4  7  6  5  6  6  5  0  2  6
 [23881]  8  6  7  6  5  8  8  4  6  5  6  6  6  8  6  5  5  5  7  5  6  6  5  8
 [23905]  5  5  6  6  6  7  2  6  6  7  6  6  6  5  4  8  6  7  6  6  7  7  4  5
 [23929]  7  8  6  8  4  6  8  6  4  7  5  3  6  6  5  7  7  4  6  5  7  8  5  8
 [23953]  6  9  6  5  4  8  4  7  7  7  5  4  5  6  5 10  5  5  7  6  6  6  7  6
 [23977]  7  5  7  5  6  6  5  6  8  6  5  6  6  5  5  6  8  5  5  4  6  5  7  6
 [24001]  6  7  7  6  3  5  6  6  6  6  6  7  7  5  6  5  8  5  6  9  9  6  6  7
 [24025]  4  8  7  5  5  6  3  5  4  5  5  8  5  5  8  4  7  5  3  8  7  6  4  4
 [24049]  5  9  8  6  5  5  7  7  7  4  7  3  4  7  5  7  5  6  5  5  9  9  6  7
 [24073]  7  6  7  8  7  5  7  4  7  6  8  6  8  6  3  8  5  4  6  7  4  7  8  3
 [24097]  6  4  4  6  7  4  8  8  7  8  7  5  5  5  5  9  6  7  7  7  9  6  6  5
 [24121]  5  6  7  5  6  7  6  5  8  7  4  4  5  8  5  7  7  6  4  9  7  5  6  7
 [24145]  8  6  7  6  6  7  5  8  7  8  7  6  6  5  9  6  8  5  8  6  4  6  6  5
 [24169]  6  5  6  6  8  6  7  3  5  5  6  6  5  4  6  5  6  7  7  8  3  5  7  5
 [24193]  6  6  6  5  6  3  8  9  6  7  5  4  8  6  4  4  8  7  9  5  8  8  4  5
 [24217]  4  5  3  6  6  6  7  5  4  5  4  8  9  8  6  3  6  7  9  6  6  7  7  8
 [24241]  6  4  5  3  7  5  6  6  6  5  6  3  3  5  7  7  6  7  7  6  5  7  2  5
 [24265]  7  7  8  5  7  6  7  3  6  4  8  5  6  7  9  6  7  8  6  7  8  6  6  3
 [24289]  8  8  6  7  6  5  7  8  7  3  4  7  7  6  4  6  8  4  8  7  5  3  6  9
 [24313]  6  4  8  6  4  5  6  6  6  6  7  7  9  5  7  4  7  6  5  8  7  5  4  4
 [24337]  6  4  5  5  5  7  6  5  6  7  4  6  6  8  7  9  2  7  4  4  6  6  5  7
 [24361]  4  4  6  7  4  6  5  7  7  6  9  7  4  5  2  5  4  5  6  4  5  6  2  5
 [24385]  3  8  5  4  6  4  4  8  4  6  6  7  8  6  6  8 10  4  7  6  7  6  6  9
 [24409]  9  5  8  7  5  6  7  4  5  8  5  7  3  7  7  7  6  6  2  3  5  8  3  7
 [24433]  4  5  7  6  5  6  8  7  3  6  6  6  7  7  7  6  3  9  6  7  3  3  7  7
 [24457]  4  7  8  4  6  7  4  6  5  8  5  5  4  7  3  7  6  5  6  9  6  5  6  6
 [24481]  7  8  8 10  7  7  7  7  6  5  7  6  8  5  7  7  5  5  7  5  8  8  5  6
 [24505]  8  6  9  7  6  7  6  5  6  6 10  5  7  5 10  6  7  4  5  4  4  6  6  8
 [24529]  7  6  5  8  6  7  6  5  8  6  7  8  6  7  5  3  5  7  9  6  5  5  7  3
 [24553]  7  6  7  2  6  3  6  7  6  6  4  8  6  4  6  6  7  5  4  6  7  4  6  8
 [24577]  7  4  5  6  6  6  3  9  7  8  4  7  7  7  7  5  7  5  7  8  7  6  5  6
 [24601]  8  6  5  7  7  4  4  8  7  7  6  8  3  4  4  7  5  7  8  6  4  8  5  4
 [24625]  8  4  8  8  4  8  4  5  5  4  5  5  3  5  8  4  6  8  6  5  5  4  7  9
 [24649]  5  6  6  5  7  6  3  6  8  6  6  2  7  6  7  9  4  9  4  8  8  5  5  8
 [24673]  9  5 10  5  7  5  6  4  8  6  6  7  9  7  4  7  9  7  7  7  7  6  7  6
 [24697]  7  7  7  3  6  5  8  5  5  8  8  7  7  8  4  3  7  7  6  6  6  4  6  4
 [24721]  4  8  3  5  8  5  5  5  7  5  7 10  7  7  8  3  6  6  5  5  5  8  7  5
 [24745]  5  8  8  5  8  5  4  7  5  5  7  7  7  4  6  8  8  6  7  7  7  7  7  4
 [24769]  7  6  7  8  7  9  7  6  5  5  3  5  7  6  3  6  6  8  8  5  7  6  5  6
 [24793]  7  3  5  7  6  7  9  5  9  3  3  4  4  7  6  6  7  7  5  6  8  7  4  7
 [24817]  5  4  7  4  7  6  7  3  5  6  7  7  8  5  5  8  6  5  5  7  8  8  5  8
 [24841]  5  6  6  6  8  6  4  7  7  6  4  7  4  4  6  9  6  6  4  7  7  6  5  6
 [24865]  5  6  6  7  8  5  4  5  5  7  6  6  5  6  7  5  6  5  7  6  6  4  6  6
 [24889]  7  5  5  8  7  7  5  5  3  7  6  4  7  7  7  7  5  8  6  8  6  9  8  7
 [24913]  5  5  6  5  7  7  7  5  5  4  8  6  8  5  5  7  7  8  9  4  5  7  7  6
 [24937]  8  8  4  7  9  6  8  6  5  4  9  7  4  5  6  2  7  5  6  6  8  4  7  6
 [24961]  8  5  6  6  7  2  6  4  6  6  7  5 10  3  5  6  2  2  5  7  6  4  4  5
 [24985]  5  7  8  7  5  9  5  6  8  4  9  5  6  6  7  7  5  9  6  3  3  7  3  9
 [25009]  5  6  7  6  8  7  7  9  8  6  5  5  7  5  6  6  5  3  4  7  4  6  6  4
 [25033]  6  7  7  6  6  4  8  6  8  7  5  7  6  6  6  7  8  5  6  7  2  7  4  6
 [25057]  7  5  7  6  4  6  6  6  7  5  8  8  7  7  8  6  8  5  5  8  5  7  5  7
 [25081]  6  8  7  7  5  4  5  8  6  5  3  5  7  5  5  6  9  8  2  6  7  6  8  6
 [25105]  7  3  6  7  8  6  7  6  6  4  6  9  6  7  7  7  7  4  7  6  3  8  7  6
 [25129]  7  6  5  6  5  7  6  8  5  6  7  8  4  5  7  5  5  7  7  4  4  4  6  8
 [25153]  8  7  7  5  6  9  6  5  8  3  4  6  6  4  9  4  5  7  7  7  5  5  5  8
 [25177]  9  8  5  8  7  5  7  6  6  3  6  6  6  6  5  8  8  7  7  4  6  6  6  8
 [25201]  4  6  6  8  4  9  8  8  6  8  6  5  8  8  4  6  7  4  5  6  4  6  3  7
 [25225]  5  7  7  7 10  3  6  4  7  6  5  8  4  4  8  5  6  6  8  3  4  8  6  5
 [25249]  5  9  7  6  4  6  8  5  4  6  3  7  5  7  6  6  7  5  6  5  6  6  5  7
 [25273]  4  8  5  6  6  5  5  8  4  5  4  3  7  5  6  8  6  4  7  6  7  6  6  6
 [25297]  9  8  6  8  9  4  6  7  7  7  7  7  7  4  7  7  5  9  7  5  6  6  4  7
 [25321]  6  8  6  7  8  8  5  8  4  5  5  5  7  6  5  7 10  3  7  6  6  8  3  4
 [25345]  8  4  7  5  7  7  7  5  6  7  5  6  7  7  6  5  6  6  8  8  8  7  6  7
 [25369]  6  3  6  6  3  6  4  6  5  6  8  6  7  9  4  6  4  5  8  7  5  6  7  8
 [25393]  4  5  6  7  5  5  4  7  4  7  6  3  4  6  7  4  6  4  7  5  5  8  8  7
 [25417]  5  4  4  8  4  8  6  8  2  6  7  4  5  7  8  5  5  8  6  5  8  7  6  7
 [25441]  6  8  5  5  6  4  7  7  8  8  4  8  7  6  4  6  9  7  3  6  8  9  6  4
 [25465]  5  6  6  6  7  3  9  4  6  6  7  4 10  8  7  5  5  7  7  2  6  5  5  6
 [25489]  9  5  4  7  6  5  2  6  4  4  3  5  6  5  7  6  5  5  6  6  8  7  5  8
 [25513]  5  4  5  4  6  7  7  4  7  6  7  8  9  6  3  3  4  6  7  6  6  7  6  4
 [25537]  6  5  6  4  5  3  6  5  6  7  5  5  5  6  6  8  5  7  9  6  7  6  4  6
 [25561]  6  5  4  3  7  7  8  7  7  7  6  4  8  5  4  7  6  9  7  5  4  5  6  7
 [25585]  6  2  9  5  8  7  7  4  7  7  6  5  8  4  8  5  7  9  4  7  7  8  6  7
 [25609]  6  4  7  5  8  5  7  6  8  7  5  2  6  8  6  7  6  7  6  5  6  8  6  5
 [25633]  7  6  4  8  4  3  7  5  6  8  6  4  5  6  4  6  8  6  7  9  8  4  7  7
 [25657]  6  7  6  6  7  6  6  5  7  5  6  4  7  3  7  9  4  7  9  6  6  7  5  5
 [25681]  7  4  6  8  6  9  6  8  6  6  8  3  3  5  6  3  7  6  8  4  5  7  6  7
 [25705]  5  5  6  5  4  6  5  2  6  5  6 10  5  5  6  6  7  4  5  6  7  6  8  5
 [25729]  3  8  6  4  7  4  3  6  4  5  9 10  6  5  9  7  7  9  6  5  6  6  8  8
 [25753]  7  5  6  8  7  7  6  5  8  8 10  8  6  7  6  7  8  8  5  7  4  7  6  5
 [25777]  5  3  6  5  6  6  5  7  7  6  5  5  7  6  5  6  3  7  6  7  7  5  5  7
 [25801]  7  7  5 10  7  4  6  4  6  6  7  5  3  5  7  6  6  6  5  5  5  4  6  8
 [25825]  6  9  4  5  5  8  4  9  7  5  3  7  3  6  7  7  7  7  7  5  4  8  6  4
 [25849]  6  7  7  6  3  4  4  9  5  7  3  5  6  8  7  6 10  7  7  5  9  6  9  8
 [25873] 10  5  7  7  5  5  7  7  6  5  8  4  4  3  8  8  4  5  6  7  8  4  5  5
 [25897]  4  6  6  4  5  5  6  6  6  4  6  7  7  9  7  7  6  5  7  4  5  9  6  6
 [25921]  9  7 10  8  9  5  8  7  7  5  5  5  8  5  9  4  6  5  6  8  7  7  6  7
 [25945]  7  8  3  6  6  6  8  6  5  4  5  3  5  6  5  4  8  3  5  7  8  4  6  7
 [25969]  6  5  6  5  7  7  7  8  7  5  4  7  8  7  9  3  5  5  7  2  7  8  4  8
 [25993] 10  6  7  5  6  6  5  6  4  8  4  6  6  9  5  6  5  5  4  6  6  5  5  4
 [26017]  6  7  5  6  4  4  6  5  7  5  8  7  8  8  8  9  6  8  8  7 10  7  3  6
 [26041]  4  6  6  7  6  5  6  6  6  4  6  7  5  6  5  3  3  7  5  6  2  6  5  7
 [26065]  3  7  5  5  6  7  5  7  4  7  5  5  5  6  9  6  6  6  5  8  7  5  6  5
 [26089]  4  8  5  7  6  6  5  5  6  7  4  7  8  7  3  8  8  5  7  4  5  8  3  6
 [26113]  6  8  5  5  7  3  4  7  8 10  5  6  4  4  4  5  5  7  6  2  7  6  4  7
 [26137]  7  6  5  4  7  7  6  7  7  7  9  8  6  8  4  5  5  7  5  5  7  4  3  7
 [26161]  7  7  4  7  3  5  4  7  8  6  6  3  6  6  4  4  7  4  6  7  6  6  6  7
 [26185]  6  7  6  5  5  5  7  7  3  8  4  6  6  8  8  6  6  5  6  4  5  6  6  6
 [26209]  8  7  3  5  7  7  7  5  9  4  8  5  8  8  6  2  4  8  6  5  6  7  6  6
 [26233]  3  4  6  8  5  5  6  6  8  4  6  8  7  6  4  3  7 10  6  5  5  8  6  8
 [26257]  7  6  7  4  4  7  7  9  5  3  4  5  5  7  8  6  5  3  3  6  5  4  6  6
 [26281]  5  7  8  6  6  5  7  9  3  5  4  6  5  7  7  4  5  7  8  4  4  3  5  6
 [26305]  5  7  6  6  4  7  3  8  8  7  6  7  5  4  8  9  4  4  3  4  4  6  5  5
 [26329]  3  6  5  6  6  5  6  4  5  7  4  5  8  5  5  7  7  5  6  6  7  5  7  8
 [26353]  6  7  8  5  7  8 10  5  6  5  3  3  8  6  6  6  7  3  5  7  5  5  5  7
 [26377]  6  2  5  9  8  9  6  5  6  7  8  5  6  6  5  5  6  5  7  5  3  4  4  6
 [26401]  9  7  7  5  6  6  6  8  6  8  6  3  6  7  5  7  4  7  9  6  4  7  7  8
 [26425]  9  5  4  7  6  5  4  3  7  6  4  4  9  7  5  6  8  8  5  5  6  9  5  5
 [26449]  6  4  8  5  6  4  6  5  8  4  7  4  6  7  2  4  6  7  8  3  6  7  6  6
 [26473]  7  5  5  7  5  5  6  5  5  7  7  6  6  6  3  6  5  4  9  5  5  9  9  5
 [26497]  9  7  7  7  4  4  6  2  6  6  7  6  7  4  4  8  7  6  6  3  8  8  6  6
 [26521]  6  6  4  4  8  3  7  6  4  3  8  6  5  8  4  7  5  3  9  7  4  7  8  5
 [26545]  4  7  4  6  8  7  7  8  5  4  8  5  6 10  8  2  3  6  5  6  4  7  7  9
 [26569]  2 10  7  6  5  4  7  8  8  6  4  6  7  6  7  6  6  4  7  8  5  5  3  7
 [26593]  8  9  8  7  6  4  5  7  7  6  7  5  5  9  5  9  7  6  8  7  5  3  7  9
 [26617]  6  3  5  6  5  9  7  5  6  3  7  9  8  9  7  8  5  4  6  8  6  7  6  7
 [26641]  4  9  3  5  6  6  6  6  4  6  7  4  6  8  7  4  8  4  8  7  5  5  5  6
 [26665]  7  6  7  5  5  6  6  9  7  5  5  4  6  4  5  4  8  6  6  6  5  5  5  7
 [26689]  6  6  3  6  4  5  7  7  7  6  4  6  7  7  6  5  7  4  6  6  7  7  4  6
 [26713]  8  6  8  7  5  7  5  7  6  8  6  7  3  8  6  5  4  7  7  5  5  4  8  5
 [26737]  6  7  6  4  7  7  4  8  6  8  7  6  3  4  3  8  7  6  4  6  5  5  5  5
 [26761]  5  2  4  8  4  5  8  6  6  4  6  5  3  5  5  8  8  6  5  7  9  2  5  7
 [26785]  5  5  3  7  6  7  5  4  6  6  7  7  7  6  8  6  5  6  6  6  7  6  8  9
 [26809]  7  5  7  4  9  5  6  5  5  3  6  5  4  6  7  4  6  8  7  7  9  6  6  8
 [26833]  5  6  5  5  8  6  7  8  8  5  7  6  6  6  7  6  5  7  7  6  7 10  7  6
 [26857]  5  7  7  6  6  6  6  7  8  4  4  6  7  3  5  7  9  6  7  6  4  7  7  7
 [26881]  4  6  6  6  7  5  6  5  8  6  7  5  4  5  8  7  5  4  7  6  6  6  7  3
 [26905]  5  7  4  4  6  7  5  8  8  5  4  5  6  7  4  9  3  4  8  6  8  5  5  5
 [26929]  5  8  8  6  6  6  5  6  5  6  7  5  8  7  3  5  9  4  8  5  5  6  4  4
 [26953]  5  8  5  7  7  6  6  7  3  6  4  8  4 10  7  7  9  6  8  6  3  7  7  5
 [26977]  6  7  6  8  8  7  6  9  7  4  5  8  6  8  8  9  7  5  8  4  5  6  6  4
 [27001]  5  7  6  4  7  5  9  6  5  8  6  7  6  4  6  6  6  6  5  6  6  5  8  3
 [27025]  5 10  5  7  5  5  5  6  9  7  6  3  5  6  6  3  6  7  5  5  5  8  7  6
 [27049]  7  9  7  7  5  8  6  9  5  5  6  5  7  7  3  5  3  5  6  8  8  5  4  6
 [27073]  6  5  5  5  8  5  3  7  3  7  6  4  7  5  9  6  7  5  5  7  5  3  7  7
 [27097]  3  8  5  2  6  6  6  6  7  7  7  5  6  6  6  8  4  3  6  7  7  6  9  8
 [27121]  4  6  6  7  8  2  7  2  2  7  8  6  6  7  9  5  6  9  6  4  6  8  6  4
 [27145]  6 10  5  5  6  6  3  9  5  6  6  9  4  5  6  8  6  8  6  6 10  5  7  8
 [27169]  8  9  6  6  6  4  5  6  6  6  3  5  6  8  5  6  6  7  3  4  5  9  4  9
 [27193]  9  8  5  8  7  4  5  7  6  6  5  5  5  8  9  4  7  7  7  4  5  6  7  6
 [27217]  6  7  6  6  6  4  8  7  3  6  7  6  6  9  7  6  7  6  7  7  6  7  8  6
 [27241]  3  6  6  7  8  6  4  9  6  8  7  7  7  9  6  5  8  8  6 10  3  8  9  5
 [27265]  5  6  6  6  2  5  7  6  7  8  6  8  6  3  7  5  6  5  3  5  5  8  5  7
 [27289]  6  9  4  5  6  4  6  6  7  4  6  7  7  6  6  6  5  4  4  6  6  6  3  6
 [27313]  6  7  7  7  5  6  7  5  6  8  6  5  8 10  5  5  7  6  7  6  7  9  6  6
 [27337]  9  8  9  7  5  7  4  6  5  6  6  4  5  7  8  7  7  7  6  7  3  6  5  7
 [27361]  5  8  2  7  8  5  6  7  9  5  7  6  7  7  5  4  7  7  7  6  6  9  4  7
 [27385]  3  6  7  3  5  6  8  4  8  5  5  8  9  6  5  5  5  5  6  9  6  5  6  3
 [27409]  7  8  8  9  5  4  6  7 10  6  8  7  5  7  6  6  4  7  7  5  3  8  6  4
 [27433]  8  5  7  5  7  8  9  7  6  7  4  7  5  8  7  8  7  9  4  7  5  5  7  6
 [27457]  5  6  5  6  7  6  6  5  5  5  8  5  6  7  8  6  8  6  5  4  7  4  5  8
 [27481]  4  5  4  6  8  6  7  7  7  7  7  4  4  2  6  5  9  3  7  3  5  7  8  5
 [27505]  7  6  4  9  7  9  7  4  5  5  5  5  6  6  6  4  4  7  7  6  7  7  6  3
 [27529]  4  6  7  6  4  5  6  7  6  5  4  7  4 10  7  6  7  6  6  3  8  6  8  8
 [27553]  5  7  6  7  6  6  6  7  4  6  6  7  5  7  6  8  7  5  5  5  4  5  7  8
 [27577]  5  7  7  5  7  4  6  3  5  8  3  8  7  5  8  5  5  5  8  5  7  6  5  7
 [27601]  7  6  4  7  8  8 10  4  3  7  5  7  3  7  5  6  6  3  5  7  7  8  4  6
 [27625]  7  6  7  6  7  6  5  5  8  6  6  5  9  6  6  6  5  7  4  9  7  4  8  5
 [27649]  3  6  9  6  4  6  8  6  5  6  6  7  6  5  7  6  7  3  7  8  5  6  5  7
 [27673]  7  7  6  5  5  5  7  7  7  7  4  8  9  5  6  5  3  6  7  4  7  8  5  5
 [27697]  4  5  7  5  4  3  8  6  7  9  5  7  5  8  5  7  8  6  5  7  5  6  3  9
 [27721]  7  4  3  5  6  6  3  6  7  6  7  6  6  5  7  5  7  7  4  9  7  8  3  4
 [27745]  6  7  6  4  8  5  6  6  7  5  2  5  7  9  6  6  6  7  5  7  8  5  8  9
 [27769]  4  5  5  7  3  5  5  4  5  6  3  4  5  6  5  5  7  4  6  5  5  3  5  7
 [27793]  7  4  8  4  5  7  6  5  6  7  5  7  6  7  4  3  7  5  6  4  3  7  6  5
 [27817]  6  5  7  4  8  8  6  4  6  8  4  4  7  5  6  8  6  9  4  5  7  5  5  7
 [27841]  4  4  5  5  5  5  7  4  5  6  8  6  5  7  5  8  5  6  5  8  5  6  4  5
 [27865]  7  8  7  6  5  6  5  7  8  5  6  5  8  4  6  7  4  4  6  6  8  7  8  6
 [27889]  3  3  9  8  7  7  7  4  6  7  6  9  7  6  5  6  4  8  7  6  5  9  6  5
 [27913]  8  5  8  7  8  7  7  5  3  4  7  7  7  5  4  5  8  6  6  7  8  9  8  4
 [27937]  9  8  6  4  7  5  6  6  6  7  5  6  7  7  3  7  4  8  7  8  7  4  7  6
 [27961]  2  7  9  6  5  5  8  6  8  6  5  5  4  7  7  6  6  5  7  6  7  6  6  6
 [27985]  8  5  6  5  5  5  5  5  3  5  7  8  6  7  7  9  5  7  6  7  7  7  3  2
 [28009]  8  9  7  5  8  7  3  7  6  4  5  5  5  6  6  5  7  6  5  7  4  2  9  8
 [28033]  4  4  7  5  7  8  5  7  5  8  4  5  5  4  4  6  6  9  5  5  5  7  7  8
 [28057]  7  5  6  7  8  5  5  6  5  5  6  5  5  7  5  7  8  7  6  8  5  8  7  4
 [28081]  5  8  5  5  8  7  5  6  5  5  4  8  7  6  6  3  8  3  5  9  6  8  7  6
 [28105]  8  8  7  8  5  5  9  6  5  6  6  7  6  5  6  5  2  8  7  6  9  7  8  6
 [28129]  6  7  6  5  7  6  5  5  7  6  6  3  5  8  6  6  7  4  7  7  3  8  7  6
 [28153]  3  6  6  5  5  7  5  6  6  8  7  7  4  5  8  4  3  5  4  9  4  4  4  3
 [28177]  1  5  7  6  3  8  6  7  7  5  7  7  8  5  4  6  4  7  4  5  3  7  6  8
 [28201]  5  5  6  6  7  6  7  7  8  5  5  4  8  6  5  6  6  6  4  5  5  6  8  3
 [28225]  6  6  9  4  8  7  5  6  4  7  7  6  7  3  7  8  6  9  3  6  8  7  3  6
 [28249]  4  8  6  6  8  8  5  6  4  3  5  7  5  9  7  8  8  6  4  6  6  7  8  9
 [28273]  4  5  8  4  5  6  9  4  6  7  8  8  6  5  6  6  8  6  5  8  3  5  9  6
 [28297]  7  9  7  5  5  7  7  6  8  6  7  6  8  7  7  7  7  9  7  9  7  3  7  4
 [28321]  8  6  6  3  7  6  5  6  7  8  6  7  7  8  6  4  5  8  5  6  4  7  7  6
 [28345]  7  6  6  7  6  6  7  7  5  4  4  7  4  8  8  7  4  3  5  6  4  4  5  7
 [28369]  9  8  8  7  5  6  7  9  4  7  6  7  8  5  6  7  7  4  6  9  8  4  5  6
 [28393]  6  7  5  6  3  4  6  6  5  5  5 10  9  5  8  4  7  9  7  6  5  8  6  5
 [28417]  6  7  5  6  5  7  7  6  8  4  7  5  7  8  7  6  6  5  6  3  6  8  5  5
 [28441]  3  6  3  3  5  6  4  6  7  6  9  3  4  8  7  7  6  5  7  8  5  5  7  4
 [28465]  6  5  6  5  8  7  7  5  2  8  6  3  7  7  6  6  6  6  6  6  5  7  8  5
 [28489]  5  6  6  3  6  8  6  7  7  5  5  3  6  4  4  5  7  4  6  6  6  6  5  6
 [28513]  6  6  5  6  5  8  6  4 10  7  6  6  5  9  4  6  5  7  6  8  6  4  7 10
 [28537]  9  7  8  6  5  7  6  8  5  6  7  7  6  7  7  7  8  5  3  6  7  6  6  8
 [28561]  5  5  4  7  7  7  6  5  7  6  5  6  7  8  7  6  7  7  5  5  6  8  4  5
 [28585]  6  7  7  6  4  5  5  5  8  6  6  6  7  8  2  8  8  5 10  7  6  6  6  5
 [28609]  6  8  8  7  7  5  6  8  7  8  6  7  7  8  6  5  6  6  7  5  5  5  8  6
 [28633]  4  4  2  4  4  5  4  7  7  9  6  7  9  6  5  6  8  7  6  6  6  8  4  8
 [28657]  3  6  5  6  6  8  7  5  6  7  2  6  7  9  6  7  7  7  8  7  2  5  8  8
 [28681]  4  6  6  4  7  7  6  7  7  5  5  6  6  6  8  7  7  6  6  7  5  4  5  7
 [28705]  4  6  6  7  7  6  5  8  7  7  3  5  9  6  7  8  8  5  5  4  8  6  6  6
 [28729]  6 10  8  6  7  7  4  6  7  7  6  6  6  6  8  8  5  7  7  8  3  5  7  9
 [28753]  4  7  5  6  6  7  7  7  4  4  7  7  4  7  6  5  8  9  6  4  2  8  2  7
 [28777]  4  7  6  7  7  6  7  7  7  6  5  9  6  6  9  7  3  7  7  4  4  5  6  4
 [28801]  7  8  7  7  3  5  6  7  4  7  5  3  8  7  7  7  6  5  8  6  7  5  3  6
 [28825]  5  3  6  7  4  4  4  4  7  6  7  7  9  5  8  6  4  8  6  3  6  7  8  6
 [28849]  7  7  6  6  6  5  5  6  4  6  4  3  6  2  5  6  5  7  7  5  5  7  6  6
 [28873]  4  5  5  7  5  4  9  3  5  5  7  7  7  4  3  9  8  7  4  5  6  4  9  9
 [28897]  6  7  9  5  5  5  4  6  6  2  5  9  3  5  7  7  6  5  4  5  5  8  6  7
 [28921]  7  5  8  7  7  7  5  7  5  4  4  6  7  8  7  4  5  8  5  7  8  7  5  7
 [28945]  8  4  6  5  8 10  8  7  7  8  6  9  4  6  5  9  7  6  7  1  4  6  8  6
 [28969]  6  6  9  5  6  6  5  8  7  7  6  7  6  6  5  6  6  6  5  8  6  5  4  6
 [28993]  7  7  4  6  6  8  7  7  3  6  5  7  4  5  7  4  6  8  5  6  6  9  5  5
 [29017]  8  8  6  4  5  6  7  5  6  7  7  5  9  5  7  4  7  5  6  3  7  6  3  5
 [29041]  6  7  4  3  6  7  5  4  6  6  5  4  8  7  6  7  5  6  6  9  7  6  7  6
 [29065]  9  6  6  9  7  4  8  6  3  4  7  7  6  8  7  8  4  7  5  8  7  5  4  6
 [29089]  6  5  8  8  7  8  5  5  5  6  5  7  5  7  4  6  5  6  5  5  6  4  8  7
 [29113]  7  9  6  7  7  6  5  8  5  7  4  6  4  4  7  7  8  4  8  6  5  7  8  7
 [29137]  9  5  3  6  6  4  2  5  6  7  6  7  8  4  4  8  6  8  5  7  5  5  4  5
 [29161]  6 10  8  6  6  7  7  9  6  5  7  5 10  7  8  8  3  6  5  3  7  7  7  7
 [29185]  6  9  8  4  6  3  6  6  5  8  5  7  7  5  6  3  5  8  6  6  7  5  6  6
 [29209]  7  6  6  7  4  6  6  6  6  6  7  4  6  6  7  6  6  4  4  1  6  7  7  6
 [29233]  6  8  4  7  6  6  9  5  7  5  5  7  5  4  7  6  9  5  6  8  4  7  4  5
 [29257]  3  8  5  7  7  5  6  5  8  6  7  6  9 10  9  6  4  7  8  6  7  5  5  6
 [29281]  6  4  5  4  6  7  6  6  8  5  6  6  5  5  6  6  3  5  6  6  5  8  8  4
 [29305]  7  5  8  6  5  7  8  6  8  6  7  8 10  7  6  6  9  7  3  6  6  6  6  4
 [29329]  4  7  7  8  5  7  6  5  5  6  9  8  4  8  5  5  3  4  6  5  6  5  6  7
 [29353]  3  3  8  3  7  7  6  6  9  7  6  7  6  5  5  7  4  7  9  9  3  5  7  6
 [29377]  4  9  7  3  5  5  6  9  6  7  7  6  6  7  4  6  6  3  7  8  6  5  6  4
 [29401]  8  9  4  6  7  6  7  6  6  8  8  7  5  7  7  2  4  6  8  9  9 10  6  5
 [29425]  7  6  6  4  6  6  8  7  3  8  7  6  5  5  5  8  8  6  6  7  5  6  6  3
 [29449]  8  9  8  5  5  6  6  5  5  5  5  4  7  6  5  3  6  6  8  6  4  4  7  6
 [29473]  4 10  9  6  6  7  4  3  7  7  8  7  7  8  3  6  7  7  5  8  8  6  5  6
 [29497]  5  6  5  7  7  7  8  5  6  6  5  8  5  5  5  8  4  5  5  8  7  5  7  7
 [29521]  9  8  7  4  5  6  6  6  5  7  4  7  5  9  3  5  5  6  7  8  7  5  4  5
 [29545]  6  6  4  8  6  7  7  7  5  7  9  5  6  5  9  7  4  7  7  4  7  7  5  7
 [29569]  8  7  8  6  6  7  7  7  5  6  5  7  5  7  8  4  3  6  9  4  5  9  8  3
 [29593]  8  6  5  5  6  3  7  4  8  6  6  5  5  5  6  6  6  6  5  8  6  5  7  9
 [29617]  7  8  4  9  4  7  5  6  8  7  5  4  5  6  7  6  9  6  4  5  7  7  6  6
 [29641]  5  8  7  6  4  4  2  7  4  3  5  8  9  6  9  6  5  4  6  9  7  8  5  5
 [29665]  5  6  6  5  5  6  3  5  7  7  7  6  8  6  6  9  6  5  5  6  6  6 10  6
 [29689]  6  3  8  5  8  6  5  8  5  6  5  7  6  6  7  5  4  8  2  9  5  4  7  5
 [29713]  5 10  7  5  7  7  6  3  7  5  5  7  4  8  6  4  5  8  6  6  6  4  5  6
 [29737]  8  5  4  4  7  6  7  7  6  2  7  7  7  7  7  7  6  5  4  8  7  6  9  5
 [29761]  7  6  5  4  7  5  7  6  4  8  7  5  5  7  7  5  4  7  6  6  6  5  8  6
 [29785]  7  5  3  7  5  6  4  7  6  6  7  7  6  4  4  6  5  9  7  6  5  5  6  3
 [29809]  6  6  6  4  6  6  4  6  4  6  6  6  5  8  7  6  8  8  7  6  8  8  4  6
 [29833]  5  8  6  5  4  8  5  7  5  7  5  8  7  5  5  2  6  7  7  6  4  7  3  9
 [29857]  4  7  8  6  6  8  5  5  3  7  8  5  5  4  5  3  4  4  2  3  6  4  7  5
 [29881]  7  7  6  5  8  6  8  4  7  7  7  7  8  6  6  6  8  6  8  4  7  7  3  7
 [29905]  6  7  4  4  8  3  6  6  9  5  3  6  5  6  9  6  4  4  4  5  6  7  8  7
 [29929]  6  7  6  5  3  8  6  5  8  7  5  6  5  6  5  5  4  6  6  6  5  5  5  4
 [29953]  7  6  7  7  8  7  7  7  5  5  7  4  8  4  7  9  5  5  7  8  4  4  7  7
 [29977]  4  6  8  6  8  5  7  6  7  7  4  7  5  7  4  9  8  8  5  8  5  4  5  5
 [30001]  5  7  8  6  5  6  6  6  6  5  7  9  5  7  5  9  6  5  6  6  3  5  9  7
 [30025]  6  6  3  7  7  6  7  7  6  5  7  7  8  5  7  5  9  5  7  6  5  6  5  4
 [30049]  6  8  6  3  6  5  5  5  8  5  7  7  5  5  7  6  8  6  6  8  5  7  6  7
 [30073]  5  7  8  6  5  8  5  4  6  6  5  8  8  8  3  5  7  3  4  5  4  6  8  6
 [30097]  7  8  6  7  7  7  5  6  6  6  7  6  7  5  5  5  6  7  8  8  3  6  4  5
 [30121]  6  6  3  7  8  6  8  5  9  6  7  7  7  7  5  5  4  5  6  7  6  5  7  7
 [30145]  5  4  7  5  6  9  7  5  7  6  6  6  6  4  5  6  7  6  8  8  3  3  5 10
 [30169]  4  5  7  7  8  6  6  4  7  7  5  7  5  6  4  2  6  7  7  7  8  8  6  9
 [30193]  3  3  6  6  7  6  8  7  6  9  9  8  5  4  6  7  2  5  6  5  5  6  2  4
 [30217]  7  7  7  5  8  8  7  7  6  6  7  5  6  6  5  4  4  5  9  6  8  5  5  3
 [30241]  2  8  8  5  8  7  4  8  8  8  4  8  8  7  9  5  7  7  4  3  6  5  6  4
 [30265]  6  5  6  5  2  5  5  6  6  6  8  6  7  7  8  6  7  6  7  8  7  5  7  7
 [30289]  6  4  4  6  4  4  7  4  4  4  4  9  4  6  4  5  6  7  9  7  6  7  8  6
 [30313]  6  7  4  8  6  8  6  2  4  5  7  7  3  7  7  6  7  5  6  4  5  6  4  5
 [30337]  6  5  5  7  4  6  6  7  6  5  7  6  5  8  7  5  4  7  6  6  6  7  5  7
 [30361]  3  5  5  6  3  6  7  7  5  8  6  5  3  5  6  5  2  5  5  6  6  8  7  9
 [30385]  7  7  6  6  7  5  5  8  4  8  6  8  6  5  5  8  8  5  6  7  6  6  5  7
 [30409]  5  7  7  5  4  4  7  6  7  4  8  4  4  8  5  6  4  4  6  8  7  8  1  6
 [30433]  8  7  8  9  4  6  6  6  5  7  8  5  5  6  9  5  7  6  7  6  6  8  6  5
 [30457]  6  7  7  4  6  6  4  4  5  5  6  6  4  9  7  6  5  4  5  6  7  6  6  5
 [30481]  5  6  4  9  6  6  6  6  5  8  5  8  5  4  7  7  7  4  4  6  6  6  8  8
 [30505]  6  7  3  7  8  6  9  5  7  7  6  7  5  7  8  5  8  7  6  5  5  6  5  4
 [30529]  8  3  6  5  5  6  7  8  8  7  4  8  7  7  3  6  4  4  6  8  8  8  9  7
 [30553]  5  4  6  7  3  3  3  5  8  6  6  7  6  8  2  7  3  4  6  9  7  6  4  6
 [30577]  8  6  5  6  4  3  5  5  7  6  6  8  6  7  6  7  6  4  5  6  6  8  5  4
 [30601]  7  3  3  6  6  7  3  5  5  3  5  7  4  5  6  6  7  8  5  6  5  7  5  6
 [30625]  6  7  7  5  7  5  8  7  7  4  7  7  5  5  5  6  4  4  6  6  6  4  8  8
 [30649]  4  5  4  4  8  5  6  8  8  5  4  5  6  3  8  6  5  4  6  9  6  6  8  5
 [30673]  6  6  6  5  6  8  7  8  6  3  7  7  6  5  5  8  3  4  5  5  6  5  8  7
 [30697]  9  8  5  6  5  6  2  5  5  4  6  7  6  6  6  9  6  6  7  8  5  6  8  6
 [30721]  7  5  6  5  6  5  5  6  7  6  5  7  5  6  4  4  6  5  4  6  6  9  5  4
 [30745]  5  4  7  5  9  6  7  8  6  4  6  6  7  5  9  5  9  8  8  7  8  5  8  5
 [30769]  6  5  6  6  6  6  4  6  3  6  6  7  5  7  2  6  6  7  8  8  6  6  4  5
 [30793]  7  3  2  7  8  4  6  7  8  4  7  8  7  9  5  8  6  4  8  6  4  7  6  6
 [30817]  6  6  7  7  9  8  7  6  6  7  7  5  7  7  8  9  4  7  6  4  5  7  3  7
 [30841]  8  5  9  6  5  7  4  4  6  4  4  4  5  6  6  7  5  7  8  2  7  3  6  6
 [30865]  5  4  6  6  8  5  7  9  5  6  6  5  7  5  8  6  7  3  4  5  7  2  5  7
 [30889]  5  9  6  6  2  9  6  8  7  8  5  7  6  5  6  7  8  8  6  6  7  5  4  4
 [30913]  6  7  4  5  4  5  6  7  5  6  5  7  5  7  5  6  7  3  6  6  6  6  6  5
 [30937]  5  6  6  9  6  7  8  6  7  6  7  7  5  6  5  7  3  7  3  6  8  8  6  5
 [30961]  5  4  3  7  9  4  4  6  6  5  6  9  5  9  3  7  6  3  8  4  7  6  4  2
 [30985]  5  7  6  5  6  6  7  4  4  6  5  4  6  8  7  7  4  6  6  7  6  8  6  7
 [31009]  6  4  5  6  3  5  9  5  6  5  6  4  4  6  6  6  5  4  6  5  6  5  1  8
 [31033]  8  8  8  9  5  6  7  5  6  6  8  8  5  7  6  9  9  7  6  6  9  7  6  6
 [31057]  6  7  8  7  4  3  6  7  6  4  5  9  6  6  8  8  4  5  5  7  8  3  5  6
 [31081]  5  4  6  8  5  7  2  4  5  3  2  7  3  7  7  5  6  9  7  6  6  7  6  4
 [31105]  5  6  6  5  7  6  7  9  5  6  8  6  7  6  8  5  9  8  5  5  4  8  6  6
 [31129]  6  6  5  3  7  6  5  6  5  7  9  7  5  8  7  6  7  7  5  5  5  6  4  6
 [31153]  3  8  5  9  8  8  5  5  6  9  7  8  6  7  7  8  7  8  8  9  6  5  8  8
 [31177]  9  6  4  6  6  9  6  7  3  5  8  4  3  5  5  6  6  9  4  8  6  4  8  6
 [31201]  7  6  7  5  8  6  7  8  5  1  8  8  5  7  6  5  7  7  8  6  6  3  6  6
 [31225]  4  8  6  5  5  5  3  5  8  5  7  8  5  4  4  8  6  6  8  6  7  6  7  5
 [31249]  6  8  6  6  7  7  2  7  6  8  7  1  6  5  7  8  4  6  6  5  8  6  6  6
 [31273]  6  7  7  7  5  6  5  6  5  3  7  8  5  6  6  6 10  6  6  6  7  7  6  8
 [31297]  6  8  8  6  8  4  5  4  7  6  7  6  6  8  6  6  7  4  7  6  6  7  5  7
 [31321]  5  6  7  8  9  5  7  6  8  5  5  7  5  3  5  7  6  8  9  6  2 10  8  5
 [31345]  6  6  7  7  7  6  3  6  4  7  9  7  8  8  8  5  6  5  6  7  5  4  6  5
 [31369]  5  4  8  7  9  7  7  8  8  5  5  6  9  5  7  8  7  6  6  9  6  5  8  8
 [31393]  6  5  6  6  4  7  5  7  7  3  6  7  6  4  7  3 10  6  4  5  6  6  4  6
 [31417]  3  3  8  7  5  7  7  6  4  7  6  6  6  6  6  7  5  5  9  7  6  6  6  9
 [31441]  3  8  6  8  6  7  6  5  6  3  6  7  6  7  7  8  5  4  7  3  7  6  7  6
 [31465]  5  8  6  6  6  8  7  6  7  5  5  6  7  6  7  8  7  6  7  5  7  7  5  8
 [31489]  5  7  7  6  7  4  6  6  6  5  6  7  6  6  6  6  9  8  4  4  4  8  7  6
 [31513]  5  4  4  5  6  8  5  3  5  7  7  6  4  7  7  6  5  7  5  6  7  7  4  4
 [31537]  6  7  5  5  7  5  6  8  7  5  6  5  8  8  7  4  6  5  8  7  4  6  5  6
 [31561]  8  7  6  6  6  3  9  6  6  2  8  6  9  6  6  9  7  6  8  8  6  4  6  6
 [31585]  5  5  5  6  7  5  8  7  4  6  8  6  7  5  8  5  4  9  8  7  4  8  4  6
 [31609]  5  6  5  6  7  6  7  8  5  7  6  5  3  6  3  5  6  6  7  5  6  6  5  4
 [31633]  4  6  7  5  6  7  6  5  6  7  7  5  6  7  6  7  4  7  6  7  8  5  3  6
 [31657]  8  4  8  8  6  7  6  6  8  5  6  3  6  9  9  6  6  6  4  4  5  6  5  4
 [31681]  5  5  6  6  6  7  8  6  8  6  6  2  9  5  6  7  7  7  3  6  4  6  7  8
 [31705]  5  7  8  6  8  5  5  9  6  8  8  8  5  6  6  5  6  6  5  7  7  4  7  7
 [31729]  7  7  7  2  5  5  6  7  9  6  6  3  5  8  5  5  3  5  5  7  9  5  6  8
 [31753]  8  7  3  5  3  3  5  3  7  9  7  4  4  6  8  7  6  7  6  5  4  7  7  6
 [31777]  7  6  5  3  7  7  6  7  6  9  8  6  8  4  4  8  6  6  6  7  3  6  7  6
 [31801]  4  7  8  7  6  4  7  6  8  7  6  8  4  2  6  8  7  7  8  5  8  6  5  6
 [31825]  7  5  5  5  3  5  5  7  9  6  7  8  6  5  6  7  6  5  8  5  4  7  7  7
 [31849]  6  8  4  6  8  7  7  6  6  4  8  7  8  6  7  8  7  5  6  6  7  5  6  6
 [31873]  4  9  3  5  7  7  7  8  6  6  4  5  5  3  6  5  7  5  3  5  7  5  7  5
 [31897]  8  8  6  6  3  6  4  4  6  7  6  5  8  4  6  6  4  5  5  3  6  4  5  6
 [31921]  6  8  6  7  5  6  8  5  6  5  8  6  2  5  6  5  8  7  8  6  5  8  9  5
 [31945]  7  5  7  7  7  4  4  6  7  4  8  7  5  8  4  7  4  7  6  7  5  6  4  4
 [31969]  7  3  7  4  6  7  6  6  7  6  4  4  8  5  8  3  4  6  5  6  7  7  6  9
 [31993]  6  3  5  9  7  7  8  7  3 10  5  8  6  6  4  6  7 10  5  5  7  8  7  7
 [32017]  4  7  7  6  5  7  7  5  4  5  5  8  9  7  8  9  5  7  7  5  5  7  9  6
 [32041]  2  8  6  8  5  7  8  7  4  8  5  6  7  9 10  7  7  5  6  6  7  4  5  5
 [32065]  9  8  6  6  7  6  6  4  7  6  6  5  4  6  5  7  8  4  6  8  6  8  6  7
 [32089]  4  6  7  8  7  8  7  7  6  4  7  3  7  4  3  7  3  6  5  5  7  6  6  4
 [32113]  7  4  7  4  4  8  5  5  9  7  5  7  3  6  7  5  6  5  5  4  6  8  7  4
 [32137]  7  7  5  6  8  7  4  7  5  5  5  3  6  7  5  6  2  7  5  4  7  6  7  6
 [32161]  3  6  6  7  6  6  7  7  7  9  7  7  5  7  9  7  7  5  6  7  7  6  5  4
 [32185]  6  9  8  8  5  9  6  5  6  7  4  6  8  6 10  8  3  9  6  9  6  7  6  7
 [32209]  5  6  4  6  8  8  7  6  3  4  8  6  7  7  4  4  7  6  3  8  7  5  7  7
 [32233]  5  7  9  5  6  3  7  5  4  3  8  5  7  6  5  6  6  6  7  6  8  4  7  9
 [32257]  5  5  3  6  6  4  8  7  8  6  7  5  6  8  7  6  6  5  3  3  8  5  7  4
 [32281]  5  2  5  6  6  6  2  4  7  6  7  4  4  8  8  4  7  6  5  7  6  7  5  4
 [32305]  5  4  5  7  5  5  7  3  6  7  5  6  5  9  1  6  5  7  7  4  6  7  8  4
 [32329]  5  4  5  7  5  4  4  3  6  5  7  3  4  4  6  6  8  9  6  8  7  7  5  7
 [32353]  3  4  7  5  7  7  8  5  8  5  7  5  9  6  6  6  5  2  6  5  5  7  5  3
 [32377]  7  6  5  8  5  6  6  4  4  6  5  6  8  7  5  6 10  7  7  6  8  5  5  5
 [32401]  4  6  6  6  7  7  5  5  6  7  8  7  4  6  5  9  6  4  4  8  4  5  3  7
 [32425]  4  4  4  5  7  6  4  6  8  6  3  3  7  4  8  6  7  7  6  7  9  8  5  6
 [32449]  4  6  8  6  3  9  4  6  7  6  5  8  7  7  7  6  6  6  5  8  7  8  6  4
 [32473]  5  6  6  4  6  5  7  6  7  8  8  6  5  7  6  6  7  5  4  7 10  5  7  6
 [32497]  6  7  9  7  4  3  7  6  4  2  7  5  8  5  5  9  7  5  6  8  6  7  6  6
 [32521]  7  9  7  3  7  5  4  7  8  4  5  8  6  7  5  8  6  6  9  5  8  8  8  5
 [32545]  6  7  6  5  7  7  7  5  6  4  8  8  7  6  8  7  4  4  9  6  9  7  8  5
 [32569]  6  6  6  3  7  8  7  4  5  5  8  7  6  6  6  8  7  7  6  6  5  5  7  5
 [32593]  7  6  3  6  6  3 10  6  5  6  5  7  6  9  4  9  7  7  6  8  8  8  6  5
 [32617]  7  6  8  8  6  6  8  6  6  5  4  8  7  5  9  6  6  6  7  7  7  5  3  8
 [32641]  7  6  3  5  7  5  6  7  6  4  7  5  7  8  7  5  7  4  6  2  7  8  6  4
 [32665]  6  6  6  6  8  7  6  6  7  6  6  6  7  5  7  7  6  6  2  5  9  4  6  5
 [32689]  6  5  7  8  7  5  6  2  5  6  6  4  8  7  5  6  5  8  7  7  5  6  6  7
 [32713]  7  6  6  8  7  5  8  5  6  7  2  8  6  5  7  4  5  7  7  8  8  6  7  6
 [32737]  4  3  4  9  7  8  4  4  7  6  5  9  9  8  6  7  3  6  9  6  7  4  3  6
 [32761]  6  8  4  5  5  8  3  6  6  7  6  9  9  9  8  5  7  5  5  7  6  6  4  7
 [32785]  3  9  5  4  6  7  8  5  4  7  3  6  7  8  6  4  5  6  6  6  8  7  8  8
 [32809]  4  4  4  7  6  5  5  6  8  7  6  6  7  9  6  3  7  7  7  7  6  7  8  8
 [32833]  8  5  5  7  8  6  4  7  8  7  6  4  9  5  6  7  6  6  5  5  8  9  9  6
 [32857]  7  5  8  6  6  9  5  4  5  6  4  7  5  8  6  5  3  6  6  6  5  4  5  4
 [32881]  7  4  7  6  8  8  6  7  5  5  7  6  5  8  6  4  5  8  7  8  7  7  7  6
 [32905]  6  5  5  5  7  5  9  5  7  5  8  8  7  3  6  2  6  7  4  7  6  5  7  6
 [32929]  6  5  7  7  5  7  6  7  6  8  4  6  4  5  7  5  4  5  6  5  3  7  3  4
 [32953]  5  8  3  7  6  5  8  5  6  5  8  7  6  8  6  8  6  8  8  8  6  5  5  2
 [32977]  6  9  6  7  7  6  6  6  7  5  8  5  6  6  8  6  8  7  6  6  5  6  5  6
 [33001]  8  6  3  6  6  4  5  6  8 10  5  8  5  6  5  7  3  7  5  4  5  5  6  2
 [33025]  6  6  5  8  5  8  7  7  6  6  7  9  8  5  6  7  8  5  7  7  6  7  8  6
 [33049]  8  9  4  5  6  7  7  4  4  6  7  5  5  6  7  6  5  6  5  5  5  6  6  4
 [33073]  5  7  8  7  4 10  9  7  9  6  7  3  6  3  6  5  4  6  4  6  7  6  5  6
 [33097]  5  5  4  5  6  6  5  6  7  2  6  4  7  6  9  6  4  7  5  6  7  6  8  6
 [33121]  8  6  7  7  5  4  5  5  6  6  7  7  4  6  6  4  6  7  7  5  5  9  5  5
 [33145]  5  3  5  5  4  8  5  6  7  5  7  7  7  7  7  6  3  4  7  7  6  5  5  7
 [33169]  7  5  4  6  8  6  4  7  5  6  2  9  6  4  6  6  4  7  8  8  6  5  6  6
 [33193]  7  6  5  6  7  7  7  6  5  5  6  8  6  4  8  4  6  6  4  6  7  5  9  6
 [33217]  5  3  9  6  6  4  4  8  7  9  8  6  6  4  5  7  6  5  5  6  6  5  4  3
 [33241]  4  9  5  8  7  5  8  7  6  7  8  4  4  4  7  7  6  8  3  7  6  6  8  6
 [33265]  4  8  9  4  4  6  3  6 10  7  7  4  6  8  6  7  5  8  6  6  7  4  6  6
 [33289]  5  2  7  5  7  5  5  6  5  5  7  5  4  5  7  7  6  5  6  6  6  6  8  6
 [33313]  7  7  4  4  8  8  7  6  6  9  6  5  7  6  7  5  8  4  6  5  4  6  3  7
 [33337]  4  8  7  8  4  6  6  8  6  5  8  9  6  6  6  7  4  5  5  5  4  6  7  8
 [33361]  8  9  7  6  7  7  7  6  6  6  3  5  9  7  6  6  6  4  6  6  7  8  7  7
 [33385]  4  3  6  7  5  8  8  6  6  6  9  6  6  8  7  6  4  6  6  8  4  7  4  5
 [33409]  5  9  5  8  6  6  8  6  6  6  6  5  6  5  9  6  7  4  6  7  6  8  6  3
 [33433]  3  8  9  8  8  3  5  4  6  8  7  7  8  4  6  6  6  4  8  3  7  4  5  5
 [33457]  8  6  5  8  5  5  6  7  6  6  6  7  5  6  8  6  8  8  7  4  5  8  2  6
 [33481]  5  8  5  6  9  6  8  4  7  4  6  8  7  7  5  9  6  4  9  3  6  3  8  5
 [33505]  6  7  4  4  7  6  4  4  7  4  7  3  6  4  6  9  2  5  9  8  6  4  4  6
 [33529]  6  7  6  7  5  4  7  7  5  4  3  7  6  5  6  5  8  8  6  5  7  4  7  4
 [33553]  5  7  5  4  8  5  7  5  9  6  6  8  4  7  6  7  6  3  7  5  8  6  6  5
 [33577]  8  7  8  5  6  6  6  5  6  5  5  7  6  8  6  7  7  6  8  4  6  7  8  5
 [33601]  5  7  9  6  5  7  7  4  4  8  7  4  6  7  8  4  6  5  3  7  3  6  8  6
 [33625]  6  5  5  5  3  4  6  7  4  5  5  7  7  4  6  7  8  6  6  8  6  7  6  6
 [33649]  4  8  7  8  3  8  5  7  6  6  8  2  9  6  8  6  6  7  7  7  8  7  4  5
 [33673]  7  8  7  7  7 10  5  8  7  7  4  7  6  6  4  5  7  6  8  9  9  7  7  5
 [33697]  8  5  6  7  7  4  7  6  8  5  7  4  9  7  4  6  7  6  7  8  6  4  7  7
 [33721]  6  7  4  7  9  6  6  7  7  8  5  7  6  5  9  8  8  5  7  6  3  6  7  7
 [33745]  6  4  5  5  2  6  2  7  4  7  6  3  8  6  6  4  4  6  4  6  6  7  7  5
 [33769]  7  6  8  5  2  5  5  5  8  5  8  8  4  7  7  7  6  7  9  4  7  7  5  5
 [33793]  4  3  6  4  9  7  6  4  6  9  7  6  7  7  7  5  3  7  4  7  7  6  9  3
 [33817]  7  6  7  7  8  7  5  6  7  4  5  5  6  8  8  6  6  6  6  5  8  5  7  9
 [33841]  6  7  9  4  8  7  6  5  7  8  7  7  5  3  6  6  5  9  8  3  5  5  6  3
 [33865]  7  6  7  7  5  8  8  8  9  6  9  5  4  6  6  7  4  5  5  8  2  6  5  7
 [33889]  6  5  6  6  6  5  4  8  3  6  4  6  6  7  9  8  8  6  8  3  6  8  7  6
 [33913]  8  5  6 10  8  6  7  4  2  8  8  4  8  8  3  5  7  7  7  3  7  6  9  2
 [33937]  3  8  7  5  6  2  7  7  5  6  6  6  4  5  2  4  8  6  6  8  7  7  6  7
 [33961]  6  6  3  8  3  7  5  4  5  6  7  3  5  6  6  9  7  5  8  4  5  7  6  7
 [33985]  8  6  7  5  4  7  9  5  5  5  4  5  4  8  5  7  8  6  6  5  8  7  7  6
 [34009]  6  7  5  5  4  6  6  7  6  6  6  6  6  6  8  8  9  6  8  5  5  6  3  5
 [34033]  7  6  7  7  6  8  5  5  8  6  7  4  7  7  5  9  4  5  6  5  5  6  8  7
 [34057]  7  5  8  8  8  5  8  7  4  8  7  8  5  7  5  6  8  5  6  8  4  8  6  6
 [34081]  6  7  6  5  7  5  6  8  5  8  6  6  7  7  7  5  2  5  9  9  5  5  4  9
 [34105]  8  8  7  7  8  6  8  5  6  7  5  8  7  8  6  8  6  6  5  6  9  3  3  5
 [34129]  7  7  7  8  3  6  7  4  5  5  6  5  6  8  7  7  5  6  4  3  5  4  8  7
 [34153]  8  4  4  6  6  8  6  8  6  6  6  5  6  5  4  5  8  4  8  8  6  8  7  7
 [34177]  3  7  7  7  7  6  7  7  8  4  4  7  6  6  5  8  7  5  6  6  5  3  5  8
 [34201]  6  7  6  7  6  4  7  5  5  8  4  5  9  6 10  4  6  9  3  8  6  7  5  4
 [34225]  5  5  7  6  6  6  5  4  7  7  3  7  6  8  7  6  5  4  4  4  6  8  6  7
 [34249]  6  6  6  3  7  6  6  6  7  5  6  7  8  8  6  6  4  6  5  8  6  7  2  6
 [34273]  6  5  9  6  5  6  4  8  4  8  5  4  5  8  5  7  4  7  9  4  7  6  7  6
 [34297]  6  4  6  6  7  4  6  8  7  7  3  6  6  4  6  7  7  8  6  5  7  6  6  6
 [34321]  6  5  7  3  4  6  2  2  8  8  5  6  7  7  5  8  7  7  6  6  7  8  6  7
 [34345]  8  5  7  7  3  5  6  6  7  4  2  9  5  5  6  7  8  3  8  8  5  6  7  5
 [34369]  2  3  6  2  6  7  7  4  8  6  6  8  9  6  7  7  8  5  7  6  3  8  6  9
 [34393]  7  7  8  7  8  6  5  6  3  5  6  6  6  8  7  6  3  7  9  7  5  5  8  6
 [34417]  4  6  5  6  5  6  8  7  7  4  9  9  7  7  8  2  6  4  6  5  7  7  7  5
 [34441]  9  8  5  4  6  3  5  6  5  8  7  8  3  8  7  6  6  5  4  6  5  7  7  8
 [34465]  7  7  4  6  7  7  7  5  7  6  6  6  4  7  4  3  4  5  8  4  4  7  5  5
 [34489]  3  8  8  7  8  7  6  5  7  9  5  5  7  7  6  5  8  7  5  9  4  6  6  6
 [34513]  7  5  5  6  7  7  7  7  8  6  7  7  4  6  7  6  5  6  8  5  4  7  7  9
 [34537]  9  4  6  6  8  4  6  6  6  7  2  4  5  4  4  7  4  6  6  6  6  6  9  5
 [34561]  5  7  4  6  7  7  8  7  5  7  5  3  7  7  7  6  7  5  4  7  6  7  5  4
 [34585]  6  6  4  7  8  6  5  5  6  6  5  5  5  7  8  6  8  5  7  5  7  6  4  7
 [34609]  4  7  7  7  7  6  4  7  3  6  6  5  7  6  7  6  5  6  5  8  2  4  6  4
 [34633]  5  8  8  4  5  7  6  8  4  8  7  4  8  6  7  8  7  7  5  9  6  6  6  4
 [34657]  4  5  5  6  7  6  6  5  6  4  4  5  4  7  8  5  8  7  4  6  6  5  8  7
 [34681]  6  6  7  4  7  7  6  3  8  4  5  6  7  6  5  7  4  6  7  4  4  3  7  6
 [34705]  7  7  6  6  7  5  8  8  7  8  3  6  7  5  9  5  5  5  7  5  8  7  6  3
 [34729]  9  5  9  3  8  6  4  5  8  6  7  8  6  7  7  2  6  5  9  7  6  5  7  6
 [34753]  5  9  7  9  6  5  5  4  8  3  7  3  7  8  9  6  5  7  8  6  4  6  8  4
 [34777]  3  8  5  4  5  6  5  4  4  6  7  7  8  4  7  7 10  6  7  7  7  5  6  7
 [34801]  6  9  7  7  7  7  5  8  4  6  4  4  5  9  4  5  7  4  4  3  7  6  6  4
 [34825]  7  7  8  5  6  5  5  5  7  5  5  5  7  7  8  6  6  5  8  7  7  5  8  7
 [34849]  7  7  5  6  6  5  6  6  5  7  5  7  5  8  9  7  5  8  7  4  5  5  6  7
 [34873]  7  6  6  7  2  4  5  7  3  7  7  9  8  8  7  5  6  6  6  6  5  7  7  6
 [34897]  7  4  7  7  4  6  6  7  7  7  4  3  6  6  4  4  8  5  4  9  6  7  7  3
 [34921]  8  3  2  7  8  4  7  5  7  7  4  7  6  7  7  7  6  8  4  9  7  5  5  4
 [34945]  7  6  5  5  6  4  4  8  4  7  6  4  7  5  5  5  5  5  8  8  5  5  7  7
 [34969]  7  7  5  7 10  5  7  5  5  4  4  6  7  6  7  4  5  8  4  2  7  4  6  9
 [34993]  5  6  8  6  6  7  8  9  6  7  4  6  7  6  5  7  5  7  7  6  5  5  7  5
 [35017]  5  6  5  5  7  4  7  2  6  5  8  9  8  8  4  7  4  6  7  8  5  5  6  7
 [35041]  6  5  6  5  4  6  8  6  4  7  5  4  6  9  5  8  8  9  6  6  7  7  5  2
 [35065]  4  6  9  7  4  8  6  7  5  9  7  8  7  4  8  8  2  6  3  5  6  6  3  5
 [35089]  8  5  4  6  7  5  3  6  4  4  9  7  4  5  8  8  3  8  9  6  8  7  6  7
 [35113]  7  4  5  7  8  4  8  9  5  3  7  7  7  4  5 10  8  9  6  5  8  4  4  4
 [35137]  5  5  6  8  5  5  4  6  7  5  7  4  6  5  5  9  6  6  6  6  6  4  7  6
 [35161]  7  6  7  5  7  7  6  6  9  7  6  5  8  9  6  3  6  3  1  8  5  7  5  5
 [35185]  4  7  5  9  7  9  7  7  7  7  7  6  5  3  9  6  3  8  6  6  7  7  8  6
 [35209]  5  6  8  7  5  4  7  6  5  6  6  4  6  4  7  6  7  6  5  9  8  7  6  6
 [35233]  7  3  8  6  7  7  7  8  4  6  8  7  5  5  3  6  9  4  9  4  5  7  5  7
 [35257]  2  7  7  7  6  7  8  6  6  4  6  4  4  7  4  7  6  6  5  6  7  5  5  8
 [35281]  7  9  5  6  7  6  8  5  6  7  6  4  5  6  4  6  4  5  6  6  4  6  8  7
 [35305]  5  7  6  7  6  8  7  8  8  2  5  4  5  5  6  9  4  5  2  5  2  7  6  7
 [35329]  7  8  6  6  8  4  6  5  5  6  8  6  6  8  5  7  6  5  7  7  5  6  8  7
 [35353]  5  5  6  5  6  5  9  3  5  6  6  7  5  8  7  4  9  7  5  5  7  7  9  5
 [35377]  3  6  5  5  6  6  4  7  8  7  5  9  6  5  6  5  5  6  6  8  5  7  7  6
 [35401]  6  6  8  6  6  6  6  6  7  4  7  7  6  6  6  5  6  8  6  7  5  4  6  6
 [35425]  5  5  8  8  7  7  2  6  6  6  5  4  2  5  6  8  6  6  6  5  4  6  9  5
 [35449]  7  2  7  8  5  7  7  5  3  3  7  7  6  7  6  9  7  5  6  6  4  8  5  8
 [35473]  5  7  5  7  7  7  6  4  8  8  6  5  7  8  2  6  5  7  4  5  7  6  6  6
 [35497]  5  5  5  5  6  4  4  4  5  8  9  6  4  4  7  4  7  6  5  6  5  5  6  9
 [35521]  7  7  4  4  4  3  6  6  5  5  6  4  9  4  7  6  8  7  4  4  6  7  5  4
 [35545]  8  6  5  6  3  5  7  3  5  4  7  9  6  8  7  6  7  3  4  7  6  8  6  5
 [35569]  9  7  7  8  7  7  7  6  5  7  4  5  8  6  6  8  9  6  8  8  5  6  6  5
 [35593]  8  9  9  8  5  5  5  7  3  5  4  6  6  6  6  8  6  9  7  7  9  6  5  6
 [35617]  5  5  7  8  7  9  6  4  8  6  7  7  7  6  7  6  5  5  5  5  6  5  7  8
 [35641]  6  8  3  6  6  7  7  2  6  4  7  8  6  6  5  4  6  8  7  3  6  8  7  8
 [35665]  7  6  5  6  5  6  6 10  7  7  4  8  5  3  3  6  6  5  4  5  8  7  4  6
 [35689]  8  6  7  3  5  8  6  8  8  6  6  5  6  7  7  7  6  8  7  5  5  6  5  6
 [35713]  5  7  7  8  6  9  7  5  7  7  7  9  6  7  5  4  8  7  5  3  8  3  6  6
 [35737]  6  6  8  6  6  4  7  5  5  7  8  5  9  6  6  6  6  7  5  7  4  6  2  6
 [35761]  3  8  5  6  6  6  3  8  5  5  7  7  5  7  6  6  6  6  7  3  8  6  6  7
 [35785]  7  4  8  6  8  4  7  5  4  6  8  6  6  4  7  7  9  7  7  5  7  4  6  7
 [35809]  6  6  5  6  7  6  4  7  5  6  7  6  6  8  6  6  4  9  7  6  6  7  6  5
 [35833]  6  7  4  5  5  6  3 10  8  5  8  6  6  6  6  6  4  6  8  4  6  6  5  6
 [35857]  7  5  8  5  7  8  5  9  4  6  7  8  5  5  6  2  5  6  6  6  2  5  6  5
 [35881]  4  7  8  5  5  4  6  2  6  4  7  5  7  5  6  5  8  8  7  4  6  7  6  5
 [35905]  8  8  8  3  8  7  4  8  8  7  5  7  6  7  4  9  6  7  8  9  5  5  3  6
 [35929]  6  7  5  7  7  8  9 10  9  6  5  7  4  5  7  6  6 10  7  5  5  7  3  6
 [35953]  3  7  3  8  6  6  4  6  7  6  7  6  7  8  6  7  4  7  7  5  5  4  5  6
 [35977]  7  5  9  6  6  5  8  6  7  4  8  6  7  4  6  5  7  8  6  5  2  6  4  7
 [36001]  8  5  4  4  6  4  6  5  5  6  7  6  7  6  7  7  6  4  8  5  5  6  5  5
 [36025]  6  6  5  2  6  7  5  6  4  9  8  7  6  6  5  6  8  6  7  8  6  7  4  6
 [36049]  6  7  9  7  5  8  6  5  6  5  6  9  6  7  5  9  9  6  7  7  9  7  6  7
 [36073]  6  6  6  6  5  7  7  6  6 10  6  7  4  7  6  6  7  5  8  6  6  9  6  6
 [36097]  5  6  6  6  9  4  6  7  4  6  6  6  6  8  4  7  7  7  4  8  6  6  7  5
 [36121]  7  7  6  6  7  5  7  5  7  7  5  8  7  3  6  7  8  5  7  5  6  4  4  2
 [36145]  5  5  5  6  7  6  6  5  2  8  7  5  7  6  5  7  5  6  7  7  8  6  7  5
 [36169]  6  8  8  6  6  6  5  4  5  3  6  8  9  6  4  5  5  3  7  6  4  7  5  8
 [36193]  6  6  6  6  4  6  6  5  5  4  7  9  5  5  6  4  7  7  9  5  8  7  6  2
 [36217]  8  9  5  8  6  5  7  5  7  9  6  7  7  5  5  4  6  6  5  5  6  7  4  4
 [36241]  4  5  6  8  7  9  6  6  8  5  5  5  7  5  6  6  5  9  5  7  6  6  6  7
 [36265]  9  6  4  6  5  8  2  6  6  7  5  4  6  4  7  6  7  8  5  5  7  4  5  5
 [36289]  5  5  4  5  8  5  4  4  9  5  5  6  6 10  6  8  7  7  4  3  6  6  7  3
 [36313]  8  6  6  5  6  7  4  8  7  6  5  5  5  5  8  5  6  5  6  7  3  3  6  7
 [36337]  7  5  4  6  6  5  8  6  5  8  5  5  4  7  6  4  6  9  7  7  6  7  7  7
 [36361]  8  6  6  7  7  7  8  7  7  4  7  6  4  7  5  4  5  5  6  8  7  7  8  3
 [36385]  3  5  3  8  6  7  6  5  6  5  4  8  7  7  6  5  5  7 10  3  7  8  7  5
 [36409]  7  8  8  4  5  3  7  6  4  4  4  4  2  4  6  5  7  4  6  6  5  3  4  5
 [36433]  5  6  8  7  7  8  5  4  4  6  9  7  7  6  7  7  6  8  6  6  4  5  3  7
 [36457]  6  5  8  7  6  4  7  6  6  8  6  3  7  8  7  7  9  7  7  4  6  8  6  7
 [36481]  5  8  5  4  4  7  4  8  5  8  6  5  7  7  7  7  6  5  7  8  6  5  7  6
 [36505]  6  8  6  4  8  4  9  6 10  7  3  7  7  4  5  9  5  8  7  5  7  2  7  7
 [36529]  8  4  7  6  8  7  7  6  7  7  6  5  6  6  5  7  6  8  6  4  6  8  7  3
 [36553]  4  8  5  8  6  6  5  7  8  6  6  6  5  5  8  6  7  6  7  6  4  7  6  7
 [36577]  3  6  8  5  8  6  8  7  7  8  7  8  5  7  6  7  6  7  6  4  7  7  6  7
 [36601]  3  5  7  4  3  3  6  7  8  6  9  7  6  3  5  4  5  7  5  2  7  6  8  8
 [36625]  5  4  5  7  9  8  7  5  7  9  6  5  6  8  5  7  3  6  6  2  3  5  7  6
 [36649]  5  4  4  9  3  5  5  7  5  4  8  6  6  5  3  7  7  9  8  5  5  5  7  8
 [36673]  9  7  7  8  9  5  7  5  6  6  6  6  4  4  5  7  3  8  3  4  6  4  5  7
 [36697]  5  8  6  4  7  7  4  7  8  5  5  6  6  6  5  6  7  7  5  7  5  5  6  2
 [36721]  7  7  6  8  7  3  8  5  7  4  7  6  8  6  7  7  6  6  8  5  4  7  9  5
 [36745]  7  5  5  4  4  6  5  5  6  4  4  4  8  9  6  6  8  6  5  7  7  5  5  7
 [36769]  5  7  4  5  6  7  6  4  5  6  4  7  5  6  7  6  8  7  6  8  4  9  4  6
 [36793]  7  6  8  7  3  7  4  8  7  8  6  9  6 10  6  6  5  7  7  6  6  5  7  4
 [36817]  5  8  3  7  7  5  7  7  5  6  4  4  5  5  6  5  8  8 10  2  8  9  9  6
 [36841]  5  7  6  6  6  9  5  5  6  7  4  2  7  5  6  3  6  6  8  8  4  5  9  7
 [36865]  3  4  7  9  6  7  6  5  7  9  4  7  7  2  5  8  7  6  8  7  8  6  9  7
 [36889]  4  5  7  5  6  8  7  5  6  8  4  7  5  4  4  6  5  3  5  5  8  3  7  9
 [36913]  7  7  8  7  7  4  6  7  6  6  4  7  5  8  7  4  7  7  4  4  8  7  7  5
 [36937]  7  7  7  8  6  6  8  6  8  7  4  8  4  9  8  6  7  7  5  5  5  5  8  4
 [36961]  5  4  3  7  6  5  7  4  6  6  4  7  5  4  7  7  7  6  7  8  7  6  6  2
 [36985]  6  6  7  6  7  8  7  5  7  7  7  6  7  6  5  5  5  4  2  7  7  4  7  6
 [37009]  8  7  6  4  6  5  7  6  8  7  4  5  1  7  6  5  6  8  6  4  6  3  5  5
 [37033]  7  4  9  9  4  9  6  4  6  7  8  8  6  4  6  7  6  8  6  6  7  7  5  7
 [37057]  6  5  6  8  7  8  4  6  7  6  6  7  5  5  5  5  5  2  7  6  7  5  4  7
 [37081]  6  4  5  6  9  4  5  5  6  7  6  5  7  5  9  7  5  9  9  3  7  5  6  7
 [37105]  6  6  6  3  6  6  5  8  6  6  5  6  9  9  6  9  6  4  5  8  7  5  4  7
 [37129]  6  8  6  7  7  3  5  5  9  9  8  7  8  5  4  6  5  7  9  4  7  2  5  4
 [37153]  4  5  4  8  6  4  5  4  6  8  5  5  7  7  6  6  6  4  3  7  6  6  5  6
 [37177]  5  7  8  6  8  6  4  8  4  3  9  6  5  8  4  4  8  5  7  4  3  5  5  6
 [37201]  7  8  7  8  8  5  7  6  5  7  7  5  7  8  5  3  7  6  7  6  4  7  6  5
 [37225]  7  6  5  8  5  5  8  6  3  6  8  7  6  3  5  8  3  6  5  7  4  5  6  5
 [37249]  6  6  8  6  2  7  6  5  3  9  6  5  7  8  4  6  5  8  7  5  7  5  4  8
 [37273]  7  5  7  6  9  8  5  6  6  5  7  6  7  7  6  6  6  6  7  5  3  7  6  8
 [37297]  5  3  5  5  7  7  7  5  6  8  6  5  7  7  4  7  7  7  7  3  4  4  5  9
 [37321]  7  6  5  5  4  6  9  8  6  2  7  7  6  6  5  8  4  8  5  4  6  6  6  7
 [37345]  4  7  7  6  8 10  9  5  6  6  7  3  8  4  7  5  5  6  9  6  5  6  6  5
 [37369]  9  7  6  5  7 10  6  5  8  6  6  2  6  6  7  6 10  8  6  7  5  5  7  6
 [37393]  3  5  8  5  8  8  6  4  8  4  5  6  7  7  6  5  8  5  8  6  7  6  3  5
 [37417]  7  7  8  4  5  8  4  8  7  7  7  5  5  6  8  5  6  5  9  5  7  7  8  6
 [37441]  7  6  6  3  7  8  6  5  8  5  6  7  6  9  7  8  7  5  5  7  6  7  7  9
 [37465]  4 10  7  4  4  6  6  6  7  5  8  6  8  7  6  5  6  6  7  4  6  7  4  4
 [37489]  6  6  6  4  5  7  4  7  9  9  8  5  9  6  8  8  5 10  5  5  6  7  6  6
 [37513]  7  6  6  7  6  6  4  4  7  8  4  8  5  8  5  6  6  6  8  7  5  7  7  9
 [37537]  6  9  3  9  9  7  6  6  1  8  3  8  9  7  7  4  9  8  6  7  6  6  8  4
 [37561]  5  7  9  4  6  6  6  6  6  4  5  7  5  7  7  5  6  6  6  7  4  5  7  7
 [37585]  7  4  8  7  1  5  4  5  3  9  7  5  7  7  7  5  4  9  5  9  4  4  5  5
 [37609]  6  4  5  8  7  4  1  7  5  7  8  7  5  6  7  6  5  5  7  6  4  6  7  5
 [37633]  4  7  7  8  4  7  6  5  6  7  7  3  8  7  7  7  9  5  5  8  6  7  5  6
 [37657]  6  9  7  5  0  9  6  5  6  8  8  4  7  6  6  8  5  7  6  5  9  8  7  8
 [37681]  2  9  7  9  7  8  6  5  7  5  5  6  6  8  7  5  8  4  7  6  4  5  4  7
 [37705]  7  7  7  6  6  6  6  8  9  4  8  5  5  6  6  6  6  6  6  6  8  6  5  7
 [37729]  6  4  3  6  5  8  5  4  6  5  8  4  4  5  5  7  5  6  4  6  5  8  8  7
 [37753]  8  7  6  8  3  3  7  3  6  7  6  5  5  6  5  6  5  8  5  6  7  6  6  5
 [37777]  5  6  4  5  5  7  5  6  3  4  6  5  6  5  5  5  4  5  4  7  6  5  3  5
 [37801]  7  5  6  7  8  8  7  6  7  5  7  7  7  9  5  7  8  4  7  6  5  7  9  4
 [37825]  5  5  7  7  5  5  8  6  7  6  6  3  6  5  7  6  5  8  5  6  4  6  4  7
 [37849]  7  4  6  6  4  6  8  7  8  7  5  7  7  4  5  6  2  5  4  6  5  1  6  6
 [37873]  3  8  8  6  4  7  4  5  8  6  8  7  8  7  5  5  5  6  7  8  4  6  7  7
 [37897]  8  6  7  6  5  7  6  9  6  6  5  6  7  8  4  5  7  2  7  7  7  5  7  8
 [37921]  4  8  5  7  6  6  7  7  6  7  8  9  7  6  7  4  6  6  7  6  6  4  5  6
 [37945]  5  2  7  4  5  4  9  4  4  7  4  5  5  6  6  7  7  7  8  3  4  6  6  4
 [37969]  3  6  7  3  8  4  7  7  6  4  8  5  3  6  8  6  8  6  7  5  7  4  8  9
 [37993]  2  4  7  8  4  7  4  9  7  7  5  5  9  6  7  6  7  4  5  7  4  8  8  5
 [38017]  4  7  3  4  7  7  8  4  5  7  6  6  7  6  3  4  7  8  6  6  5  6  8  6
 [38041]  4  7  3  6  5  5  4  8  7  9  6  8  5  4  6  4  7  5  6  6  4  8  7  6
 [38065]  7  8  8  4  5  3  7  4  5  6  8  5  8  7  6  7  8  6  4  7  6 10  7  5
 [38089]  8  6  9  3  4  5  3  7  5  8  7  5  4  5  5  5  8  6  3  7  9  6  9  6
 [38113]  5  6  8  6  9  4  8  8  2  5  5  5  8  7  7  7  5  4  7  9  5  5  6  6
 [38137]  5  8  5  5  5  7  6  6  8  7  3  5  7  6  7  7  2  7  5  1  6  7  5  8
 [38161]  5  4  6  7  7  7  4  7  5  6  6  6  5  5  6  6  6  5  4  2  5  4  5  7
 [38185]  5  7  7  8  8  5  4  3  4  3  5  7  4  3  4  6  7  7  4  5  6  4  9  4
 [38209]  5  7  5  3 10  4  8  6  8  8  7  2  6  8  5  5  5  6  9  4  6  8  7  5
 [38233]  6  8  6  5  8  3  7  4  5  7  7  5  6  8  8  8  6  5  6  7  8  8  3  5
 [38257]  3  6  6  7  5  6  8  7  6  4  5  8  7  8  9  6  6  7  7  7  6  7  6  3
 [38281]  5  6  5  6  4  8  6  6  5  6  6  6  6  6  8  6  8  6  7  7  5  5  8  6
 [38305]  7  6  4  6  5  7  8  6  5  8  5  5  5  5  4  7  5  6  9  4  7  3  5  5
 [38329]  6  7  7  5  6  5  5  5  3  8  5  5  7  5  4  6  6  6  7  8  5  7  5  6
 [38353]  5  7  5  6  9  7  5  6  5  5  8  7  7 10  4  7  8  4  6  6  7  6  4  4
 [38377]  3  5  5  9  5  6  8  5  6  2  6  5  7  3  7  9  6  6  3  6  4  3  4  6
 [38401]  7  6  6  5  9  7  6  6  8  6  4  7  6  7  8  7  9  8  4  6  6  2  5  7
 [38425]  7  6  5  3  6  7  7  7  6  6  6  4  6  6  5  6  6  6  9  6  6  4  4  6
 [38449]  8  7  7  4  7  6  7  5  8  8  6  5  5  3  5  5  4  4  7  7  7  5  6  6
 [38473]  7  5  6  5  8  7  5  5  6  9  7  7  8  6  6  6  7  5  8  5  7  7  7  4
 [38497]  4  6  7  7  6  3  8  7  5  9  6  6  9  4  7  7  4  6  5  7  5  4  5  8
 [38521]  6  6  6  7  8  7  4  7  5  7  7  6  7  6  6  5  7  5  9  5  7  6  6  5
 [38545]  7  9  8  9  5  7  4  6  9  6  7  7  9  6  5  5  9  2  5  3  5  8  6  7
 [38569]  5  7  4  8  5  7  5  7  7  6  4  6  8  8  5  7  6  8  4  5  5 10  6  6
 [38593]  5  7  4  7  8  5  3  6  7  8  5  7  9  3  6  7  6  7  4  7  7  6  4  6
 [38617]  5  5  8  5  3  5  8  5  8  8  2  4  8  6  7  6  7  5  6  6  7  8  5  4
 [38641]  6  7  6  7  6  6  6  7  6  9  5 10  6 10  5  5  6  6  5  7  5  5  7  4
 [38665]  8  7  8  4  8  6 10  7  3  8  4  4  7  6  7  7  3  7  8  7  6  8  8  7
 [38689]  5  7  4  8  5  6  5  7  7  4  4  5  6  7  4  7  5  4  7  5  5  4  6  3
 [38713]  5  3  9  4  7  9  8  6  5  4  8  7  8  7  7  4  7  6  7  6  6  5  6  6
 [38737]  6  5  8  4  6  7  7  6  6  5  8  6  6  6  5  6  6  6  6 10  4  4  5  6
 [38761]  5  3  7  7  6  6  5  6  6  7  5  6  3  5  5  6  5  5  3  7  7  5  5  7
 [38785]  7  5  5  5  8  7  8  6  4  6  8  5  8  6  5  3  7  6  8  5  8  6  7  4
 [38809]  5 10  7  6  5  6  8  3  6  7  6  7  6  7  7  6  6  8  5  8  6  8  5  6
 [38833]  5  6  4  6  6  6  8  7  5  6  4  8  6  4  7  7  8  7  7  5  6  7  6  7
 [38857]  6  7  6  3  7  5  8  3  5  9  5  6  8  5  6  7  6  5  4  6  8  7  8  7
 [38881]  6  7  5  6  6  4  8  7  5  4  1  5  8  6  5  9  5  6  8  4  4  3  7  7
 [38905]  9  6  7  6  8  5  4  5  9  4  5  7  4  6  4  8  8  6  3  4  4  8  4  6
 [38929]  5  6  8  8  7  6  6  5  4  5  6  6  6  8  7  5  5  4  5  5  7  4  6  7
 [38953]  2  6  6  6  7  5  6  5  7  5  7  4  7  5  8  6  4  8  4  6  5  3  5  9
 [38977]  7  7  7  7  8  5  3  5  3  3  7  7  6  6  7  7  8  5  6  7  7  5  6  8
 [39001]  6  7  5  6  6 10  4  7  7  5  7  8  6  7  4  4  8  5  5  5  8  5  5  6
 [39025]  7  8  6  4  3  4  6  8  8  5  5  9  6  7  6  6  8 10  9  7  8  4  5  4
 [39049]  5  6  7  1  8  6  6  6  8  7  7  6 10  5  4  4  6  6  3  4  5  8  7  6
 [39073]  7  7  5  5  5  5  4  8  9  7  5  7  8  6  8  7  5  6  6  3  6  4  6  4
 [39097]  9  5  7  5  6  6  4  5  7  7  6  6  8  8  6  7  5  4  4  5  9  4  7  6
 [39121]  3  2  7  5  6  7  7  7  8  8  6  8  6  5  4 10  7  8  5  8  8  5  7  6
 [39145]  6  5  8  3  6  9  4  7  7  7  4  5  6  5  7  4  4  7  6  4  7  4  5  6
 [39169]  6  6  6  6  4  6  5  5  4  7  6  7  5  7  6  7  6  6  7  5  3  6  8  8
 [39193]  6  7  8  4  8  5  8  5  7  5  7  6  7  6  7  5  6  6  8  6  4  5  5  5
 [39217]  7  2  7  7  8  6  3  8  6  5  5  7  6  8  3  6  6  6  7  4  6  8  6  4
 [39241]  6  8  5  4  4  4  8  5  6  5  6  5  7  6  6  7  5  3  6  7  6  6  8  5
 [39265]  5  6  5  7  5  3  5  8  7  8  5  4  2  8  7  4  5  4  6  7  6  3  6  5
 [39289]  4  7  6  7  8  7  7  5  6  7  8  4  3  8  3  6  5  6  7  5  8  7  3  7
 [39313]  6  3  6  7  6  5  8  7  7  6  8  7  8  5  5  6  5  3  8  4  8  5  7  7
 [39337]  7  7  6  6  7  8  5  6  7  4  6  9  5  6  5  6  7  6  5  6  8  6  6  8
 [39361]  6  5  6  9  6  6  9  7  5  7  8  5  6  6  7  7  6  5  5  6  7  5  7  8
 [39385]  8  2  9  6  8  9  7  9  7  5  5  5  7  7  7  6  7  7  6  7  6  6  5  8
 [39409]  4  6  5  5  9  4  8  5  6  6  7  4  8  5  7  5  5  5  5  8  4  7  6  8
 [39433]  8  6  4  6  7  6  6  7  6  8  6  5  8  8  8  8  5  8  7  6  9  5  8  6
 [39457]  5  8  6  7  7  5  5  4  6  5  6  6  4  6  7  2  6  5  4  5  6  6  3  7
 [39481]  6  8  6  5  4  5  6  8  8  6  8  5  7  5  7  6  7  9  4  6  4  5  5  5
 [39505]  6  2  8  5  4  0  6  5  8  6  4  4  4  6  4  6  5  6  8  5  8  6  4  7
 [39529]  5  5  7  8  7  7  4  5  7  5  4  5  4  8  6  5  5  6  4  6  5  2  6  5
 [39553]  8  5  7  6  5  6  7  4  4  6  3  6  6  5  5  7  5  6  6  4  6  6  6  5
 [39577]  8  6  4  6  5  3  7  5  6  1  5  6  9  5  6  6  8  7  7  7  8  4  8  7
 [39601]  9  8  5  7  3  2  4  6  7  8  7 10  4  7  9  5  7  8  6  5  8  4  4  7
 [39625]  5  8  4  8  7  6  6  6  6  5  4  4  4  7  7  6  4  5  5  6  5  8  8  6
 [39649]  6  8  4  7  6  6  6  8  7  5  4  2  6  6  6  8  7  5  4  5  6  6  4  5
 [39673]  6  5  6  3  6  9  7  6  9  5  7  6  7  6  6  8  7  7  6  4  6 10  3  7
 [39697]  6  5  3  5  6  6  6  7  5  3  6  5  7  3  5  6  4  7  5  8  6  6  7  6
 [39721]  4  5  5  3  7  6  7  9  6  8  5  6  7  5  5  6  8  7  5  7  6  7  4  5
 [39745]  5  4  5  3  8  6  6  4  6 10  8  4  8  5  6  5  8  7  7  4  5  7  5  7
 [39769]  7  8  6  7  5  5  7  5  7  8  4  7  6  6  8  4  7  7  8  8  7  8  8  7
 [39793]  8  6  7  9  7  7  3  7  6  4  9  6  9  7  7  5  4  9  3  3  7  2  5  7
 [39817]  4  8  8  5  9  5  8  4  7  4  7  5  3  7  6  7  6  5  6  7  7  8  8  1
 [39841]  4  7  7  8  5  6  8  5  5  7  7  7  6  8  6  5  9  6  4  7  4  7  7  5
 [39865]  6  6  8  7  5  6  5  8  9  6  8  4  7  5  6  6  8  6  5  5  6  6  6  6
 [39889]  7  3  5  4  6  5  6  7  6  9  7  8  8  3  8  6  9  8  5  7  5  7  8  6
 [39913]  5  6  7  7  7  4  7  4 10  8  5  6  6  4  6  7  2  7  6  5  3  5  5  5
 [39937]  5  5  7  3  5  7  7  8  7  8  7  5  6  7  7  6  7  5  4  6  6  7  8  6
 [39961]  8  6  8  4  5  9  6  2  8  3  7  5  6  6  5  8  3  5  5  5  7  3  6  6
 [39985]  9  7  8  6  8  6  8  7  6  6  4  6  7  8  5  5  5  9  4  8  8  6  8  6
 [40009]  3  4  4  4  6  4  6  5  7  5  8  8  5  8  8  8  7  7  8  7  5  5  9  6
 [40033]  8  4  6  4  5  5  9  6  3  5  4  8  5  9  6  5  7  5  6  6  7  6  6  9
 [40057]  4  8  7  6  7  6  5  5  8  5  6  5  5  6  5  3  6  4  6  5  6  7  6  6
 [40081]  5  6  7  9  9  8  8  6  6  6  6  5  3  8  8  6  7  6  8  6  6  6  7  4
 [40105]  6  4  3  7  7  7  6  5  6  7  3  7  7  6  4  7  5  7  6  6  6  7  3  4
 [40129]  3  6  5  6  9  7  5  8  5  6  5  4  6  7  5  8  4  4  6  6  5  7  8  3
 [40153]  6  6  5  5  4  4  6  6  6  5  9  6  4  5  5  5  6  7  5  2  6  6  6  5
 [40177]  3  6  8  8  7  5  5  6  6  1  7  6  4  4  5  4  4  6  8  6  9  5  6  9
 [40201]  7  6  9  6  8  5  6  4  9  4  9  5  5  8  8  5  7  6  5  8  8  5  7  5
 [40225]  5  6  7  6  5  5 10  4  8  6  5  8  5  8  6  7  7  9  7  5  6  8  4  6
 [40249]  7  5  4  6  9  5  6  8  3  7  5  4  8  5  4  7  8  6  6  8  4 10  7  4
 [40273]  6  7  8  6  5  8  6  4  5 10  7  6  7  6  7  6  7  7  7  9  7  5  5  7
 [40297]  7  6  7  6  8  7  4  6  9  7  6  8  7  5  5  6  7  3  7  7  4  3  7  7
 [40321]  9  6  4  6  5  6  7  6  7  5  9  4  5  7  7  4  9  8  6  4  5  8  6  6
 [40345]  5  7  6  6  4  4  5  4  5  5  7  5  7  6  4  5  6  5  6  4  5  5  7  4
 [40369]  4  7  8  9  6  7  6  7  5  8  5  7  6  6  8  7  5  4  5  5  6  6  7  7
 [40393]  6  4  8  7  6  9  6  6  5  6  7  5  9  4  6  7  8  8  5  4  7  8  8  8
 [40417]  6  5  8  5  7  6  6  5  7  5  6  6  6  6  7  7  4  7  7  5  6  8  5  7
 [40441]  4 10  8 10  8 10  7  7  6  6  6  5  4  6  8  5  6  8  6  5  9  4  7  4
 [40465]  3  7  6  3  7  8  4  5  5  5  5  4  6  7  7  6  5  7  5  7  5  7  4  3
 [40489]  7  7  9  5  9  4  4  8  7  4  7  6  8  6  7  6  6  7  7  5  8  6  6  5
 [40513]  5  6  8  5  2  3  6  7  5  6  6  6  4  7  4  8  3  7  7  7  3  6  6  6
 [40537]  7  6 10  5  9  5  6  6  5  6  7  6  7  5  8  5  3  7  8  3  5  5  6  1
 [40561]  6  6  5  6  7  5  6  5  4  6  6  3  4  7  7  7  6  5  6  7  7  4  7  6
 [40585]  6  8  9  6  3  7  6  4  5  5  5  4  5  9  8  4  6  4  5  5  5  5  6  7
 [40609]  8  6  6  8  9  6  6  4  5  2  7  7  4  9  7  4  6  6  4  6  6  4  9  7
 [40633]  6  4  6  6  7  8  6  8  4  6  6  6  7  7  4  6  3  5  5  6  5  6  6  6
 [40657]  8  4  6  8  8  6  5  6  5  5  5  5  5  6  6  4  5  5  3  6  6  8  3  5
 [40681]  6  8  3  9  6  6  5  6  7  6  8  6  7  8  5  7  7  7  4  8  4  7  5  3
 [40705]  7  4  6  7  6  7  3  4  7  6  6  5  7  4  5  3  2  6  6  6  6  6  5  8
 [40729]  6  7  4  5  6  8  6  5  5 10  6  7  7  7  8  7  4  5  5  3  7  4  5  4
 [40753]  7  6  5  4  7  8  6  6  6  8  7  4  4  6  5  6  7  7  3  4  8  5  3  6
 [40777]  5  5  7  4  6  7  7  4  4  4  6  6  5  8  3  6  9  4  7  6  5  9  8  7
 [40801]  3  5  5  6  4  6  5  6  8  7  5  4  8  8  4  7  4  6  3  6  5  7  5  5
 [40825]  8  6  6  7  4  5  8  7  5  4  9  6  4  4  7  5  5  4  7  6  6  4  8  5
 [40849] 10  5  5  7  5  8  4  8  4  5  7  9  7  6  5  6  4  5  5  7  6  6  7  6
 [40873]  5  7  5  6  5  5  2  5  8  6  7  7  6  3  8  6  7  6  8  7  3  7  7  7
 [40897]  5  6  3  5  5  5  7  8  5  7  6  5  7  7  9  3  3  5  7  8  6  8  6  8
 [40921]  7  9  4  6  6  6  8  9  6  3  1  4  6  6  5  5  4  3  7  6  4  3  3  9
 [40945]  6  5  4  9  6  4  5  6  8  6  7  8  5  7  5  5  4  6  5  5  4  7  3  6
 [40969]  4  7  4  7  5  5  9  6  6  4  7  3  3  7  5  4  7  8  7  6  7  4  5  3
 [40993]  7  5  3  8  8  5  6  7  9  8  6  6  8  6  7  4  9  6  5  8  7  5  6  8
 [41017]  7  6  8  4  8  5  7  3  6  4  9  4  8  5  8  4  7  5  9  4  6  5  3  6
 [41041]  7  7  5  8  6  8  6  8  9  7  4  8  3  4  5  6  7  7  6  6  8  6  6  6
 [41065]  7  4  8  7  6  6  5  8  4  7  6  7  4  6  4  5  7  5  8  6  8  8  4  2
 [41089]  5  8  7  8  9  4  7  7  5  5  6  6  7  5  5  8  8  4  5  5  7  4  6  9
 [41113]  4  7  7  7  7  7  4  7  8  5  6  4  2  7  5  6  7  6  5  6  4  9  6  4
 [41137]  6  8  8  6  4  6  4  7  8  5  8  4  7  7  8  5  7  5  8  7  7  7  3  8
 [41161]  9  6  9  9  5  6  5  3  8  8  4  6  7  8  9  7  7  5  8  5  9  4  6  7
 [41185]  5  5  8  2  6  8  6  5  4  6  8  9  8  6  8  4  5  3  5  7  7  7  7  6
 [41209]  8  6  6  2  4  4  7  3  5  6  7  6  5  6  3  5  7  6  4  1  8  7  5  6
 [41233]  7  7  6  6  6  6  6  6  5  5  7  9  5  5  4  4  6  8  9  4  8  7  8  6
 [41257]  5  4  9  6  5  8  6  3  4  4  5  8  6  6  7  6  6  8  9  6  4  5  5  5
 [41281]  4  6  3  5  8  6  4  7  3  6  6  3  7  5  4  7  5  7  6  6  7  7  7  7
 [41305]  8  8  5  6  6  6  8  7  4  4  6  4  7  6  6  5  4  5  6  5  7  3  5  7
 [41329]  5  5  6  7  5  7  6  8  6  6  7  8  7  8  6  6  8  8  4  5  5  7  9  7
 [41353]  7  6  7  6  6  5  5  4 10  6  6  3  6  7  7  5  7  5  3  8  7  6  7  6
 [41377]  7  8  9  7  9  7  8  9  2  6  7  7  6  7  5  7  5  7  5  8  8  6  6  5
 [41401]  3  9  6  5  3  5  6  4  7  6  6  4  6  5  5  6  3  6  8  6  4  6  6  8
 [41425]  4  7  5  5  7  7  7  5  5  5  3  6  7  6  4  8  5  6  5  5  5  3  6  6
 [41449]  4  3  5  7  5  5  8  5  7  5  8  4  5  5  6  5  4  5  7  4  6  7  7 10
 [41473]  5  6  6  8  7  7  5  6  7  5  5  8  4  7  4  7  6  5  4  7  7  6  6  4
 [41497]  4  5  6  6  5  5  3  9  6  6  6  5  5  4  7  6  6  5  6  5  5  8  6  7
 [41521]  6  5  9  8  7  5  4  5  6  4  6  6  6  5  9  6  7  8  7  3  6  6  4  7
 [41545]  9  9  5  5  7  6  7  7  5  6  6  6  7  6  8  8  5  9  7  8  6  7  6  5
 [41569]  5  6  7  6  7  6  4  3  8  6  4  6  7  6  5  6  7  8  6  4  6  6  4  5
 [41593]  5  6  5  8  4  8  5  7  4  6  6  9  8  7  6  7  3  6  5  7  6  6  5  6
 [41617]  7  7  8  5  5  6  5  3  7  6  7  8  5  5  6  6  8  6  8  8  5  5  8  7
 [41641]  6  7  4  4  8  6  3  6  6  3  6  6  6  7  6  5  5  7  6  4  4  7  6  9
 [41665]  7  5  5  5  4  7  5  4  4  7  7  5  6  6  5 10  5  5  5  8  6  8  7  7
 [41689]  6  4  6  6  5  5  9  4  8  5  5  8  7  5  8  9  8  7  8  4  8  6  8  6
 [41713]  6  6  7  6  8  7  7  4  6  4  8  6  7  8  7  5  7  5  8  6  5  6  4  5
 [41737]  8  7  7  4  7  5  5  7  6  6  6  3  9  5  7  5  8  5  6  5  6  8  7  8
 [41761]  5  8 10  5  7  6  5  3  6  8  5  4  5  4  5  6  5  5  5  7  9  6  6  7
 [41785]  6  5  6  6  9  4  8  7  7  7  4  3  6  4  5  8  6  4  7  8  6  6  6  9
 [41809]  7  6  5  6  4  6  4  6  3  7  7  6  7  8  7  6  7  4  5  4  9  7  4  6
 [41833]  8  7  8  7  6  7  7  8  7  6  5  7  6  4  5  8  6  6  6  7  5  8  3  5
 [41857]  7  9  6  5  5  3  6  7  5  5  3  7  4  8  6  4  5  5  5  7  6  7  8  8
 [41881]  7  6  5  4  5  3  7  4  6  6  7  6  9  9  7  6  6  4  6  8  7  8  7  4
 [41905]  8  5  5  8  6  5  8  4  7  5  6  6  7  5  7  6  6  6  5  7  6  5  4  8
 [41929]  7  8  8  9  5  5  6  7  7  5  6  7  2 10  9  6  6  6  7  8  7  6  6  6
 [41953]  7  8  8  8  8 10  6  8  4  7  7  6  5  8  5  9  7  9  3  8  4  5  7  5
 [41977]  5  5  6  6  8  6  8  8  4  6  8  5  7  6  7  7  6  5  6  3  7  4  6  4
 [42001]  7  7  6  7  6  7  6  7  7  4  5  6  8  4  6  7  5  6  5  6  5  7  6  7
 [42025]  7  6  8  8  6  5  4  6  4  5  8  5  6  4  8  8  6  7  6  6  5  8  6  5
 [42049]  7  5  5  6  8  6  7  7  8  6  2  7  6  7  7  9  4  5  4  8  5  4  5  7
 [42073]  5  7  3  6  6  7  1  6  5  8  6  6  6  4  5  7  9  5  5  8  8  5  8  5
 [42097]  7  7  3  7  8  2  3  6  7  6  4  6  5  6  7  3  4  6  3  6  6  4  6  6
 [42121]  4  4  7  9  7  8  5  6  6  5  6  5  5  6  5  6  9  9  5  4  4  7  7  5
 [42145]  5  8  5  6  6  6  6  5  5  6  4  5  5  6  5  6  4  5  5  6  6  5  5  5
 [42169]  7  7  5  7  4  3  6  6  5  8  7  7  7  7  7  8  7  7  6  5  7  6  6  3
 [42193]  6  9  7  2  5  8  3  8  9  6  7  7  7  4  8  7  5  4  4  6  5  6  7  5
 [42217]  5  5  7  7  5  7  6  6  4  7  7  3  4  5  6  7  8  7  8  8  6  6  8  8
 [42241]  6  5  7  7  4  8  6  7  4  8  7  6  5  8  9  6  5  6  7  6  7  6  5  5
 [42265]  7  8  1  7  8  5  5  6  8  5  9  4  3  2  5  8  7  8  4  7  8  6  9  5
 [42289]  8  6  4  7  8  6  5  6  7  4  5  6  6  8  7  7  9  6  3  8  6  5  4  5
 [42313]  9  7  6  6  6  6  4  8 10  8  5  8  6  6  9  6  7  7  7  6  5  7  7  6
 [42337]  5  6  8  7  3  7  5  5  5  5  4  5  8  7  5  7  8  5  4  6  6  7  6  5
 [42361]  6  4  6  5  6  6  4  7  4  7  7  8  6  7  6  7  6  7  5  5  8  7  8  7
 [42385]  4  6  7  5  8  4  5  6  6  8  8  7  8  5  9  5  5  6  6  3  6  6  6  7
 [42409]  9  7  6  4  6  3  6  4  5  5  7  3  8  7  6  3  6  7  9  4  6  7  4  7
 [42433]  8  8  6  4  7  6  7  9  5  5  5  6  7  5  6  5  8  5  7  6  7  8  8  8
 [42457]  5  7  4  5  6  5  4  4  5  7  6  7  6  8  5  6  7  4  6  7  4  5  4  7
 [42481]  8  5  7  6  8  4  6  6  8  7  7  6  6  4  3  8  5  9  8  5  7  4  6  6
 [42505]  6  3  3  6  7  4  4  7  5  8  8  5  7  5  6 10  3  6  7  4  5  4  9  5
 [42529]  6  7  7  4  7  7  9  6  6  6  8  5  7  8  6  6  6  6  8  6  3  3  5  4
 [42553]  8  6  7  7  7  5  7  7  7  5  5  3  7  5  7  8  5  7  8  4  8  5  6  5
 [42577]  6  9  7  6  6  2  6  6  3  5  6  4  7  4  9  4  8  6  4  5  7  4  7  8
 [42601]  7  5  8  6  5  9  2  5  9  6  4  5  7  8  5  5  7  6  3  7  5  5  7  6
 [42625]  4  5  6  5  6  6  9  5  5  5  5  3  5  3  7  6  5  6  8  8  6  7  6  6
 [42649]  3  4  7  5  0  7  5  7  4  6  7  9  7  5  7  7  3  5  7  8  9  6  7  7
 [42673]  8  2  3  7  4  2  6  4  6  5 10  7  7  7  5  7  7  6  5  4  7  6  6  6
 [42697]  8  7  7  3  5  3  5  7  5  5  7  4  5  5  4  7  6  6  6  4  7  7  6  6
 [42721]  7  6  6  3  6  5  8  5  7  8  3  6  8  6  4  6  7  5  6  7  8  6  4  6
 [42745]  6  6  3  6  3  8  6  6  9  3  4  3  4  8  3  6  2 10  5  6  5  5  2  7
 [42769]  7  7  5  7  7  7  5  4  9  4  5  5  5  7  5  6  2  4  5  8  5  3  5  6
 [42793]  5  6  4  7  6  6  6  6  5  8  9  9  7  4  5  7  3  6  8  5  4  8  5  8
 [42817]  4  6  5  7  8  7  5  6  6  8  7  7  7  8  4  6  6  4  6  6  8  7  7  3
 [42841]  3  3  9  9  3  4  7  6  6  9  7  5  6  9  8  6  7  6  9  3  3  5  5  4
 [42865]  7  7  6  7  5  7  9  8  5  8  5  7  4  7  7  6  6  7  5  6  4  3  7  6
 [42889]  4  3  4  4  6  8  9  6  8  6  7  5  5  8  5  4  6  5  4  5  5  5  4  6
 [42913]  5  9  7  6  6  8  7  5  8  3  4  3  7  6  5  6  6  6  7  4  5  9  6  7
 [42937]  6  7  7  6  6  8  5  7  5  7  7  6  7  6  4  9  7  7  6  6  7  6  7  5
 [42961]  5  5  7  6  6  7  4  5  5  8  6  4  7  8  4  8  4  6  5  4  9  8  3  6
 [42985]  8  8  6  4  3  4  6  6  5  6  8  8  5  6  6  6  9  4  6  4  8  4  6  8
 [43009]  5  7  4  5  6  5  6  8  7  7  7  3  7  5  7  7  9  6  7  8  6  5  5  6
 [43033]  6  4  4  5  9  5  5  6  7  6  7  6  6  7  7  4  6  4  6  7  7  6  7  7
 [43057]  5  8  5  6  6  7  5  7  6  7  8  9  5  7  3  8  6  7  8  4  8  7  7  7
 [43081]  5  4  7  4  7  5  5  5  6  5  5  4  7  8  7  7  3  3  8  5  5  7  6  4
 [43105]  5  6  3  6  6  6  6  8  7  5  7  8  6  7  6  7  8  6  5  8  6  6  6  7
 [43129]  4  7  7  4  5  5  5  6  5  7  5  4  7  5  6  6  6  4  4  6  6  5  7  4
 [43153]  5  7  5  6  6  4  7  7  5  6  7  5  4  6  4  5  5  5  5  7  6  8  7  5
 [43177]  7  5  6  5  3  7  4  7  4  6  6  6  6  6  6  7  7  5  4  4  7  7  6  6
 [43201]  5  5  5  7  6  7  7  7  6  4  8  6  7  6  3  7  6  4  7  6  6  5  8  6
 [43225]  5  6  6  6  8  4  6  6  6  7  5  7  6  6  9  6  9  6  6  6  5  6  9  8
 [43249]  7  5  7  6  4  7  3  8  9  5  6  7  4  7  6  5  6  6  4  5  6  8  5  5
 [43273]  8  6  6  8  4  4  4  2  7  6  7  4  6  5  5  3  6  4  5  7  6  9  6  5
 [43297]  5  7  5  8  5  6  6  9  5  6  7  4  6  3  6  5  5  7  5  6  5  8  7  3
 [43321]  7  8  6  8  5  6  7  6  4  5  8  7  5  7  8  6  8  5  3  5  7  8  7  7
 [43345]  7  6  6  6  7  6  5  3  7  7  7  5  8  5  9  8  7  3  5  6  5  6  6  4
 [43369]  6  5  4  5  7  7  5  7  6  8  5  9  6  8  3  8  5  6  5  8  5  9  6  5
 [43393]  7  8  7  5  7  5  7  8  5  3  6  5  5  4  6  7  9  5  6  8  6  7  5  6
 [43417]  5  5  7  6  8  5  7  6  4  6  6  7  7  7  2  3  7  6  6  7  6  8  7  5
 [43441]  7  6  4  5  5  9  4  7  6  7  3  3  7  3  6  5  5  4  7  6  7  8  3 10
 [43465]  4  7  3  6  5  4  6  7  6  8  7  4  7  6  5  3  7  6  6  6  2  6  8  6
 [43489]  5  9  6  8  4  5  7  4  8  6  7  6  5  7  3  6  7  4  7  7  6  6  6  7
 [43513]  8  5  5 10  6  5  8  8  4  6  6  4  6  5  4  3  5  4  8  8  5  4  5  6
 [43537]  4  7  9  6  7  6  7  6  6  7  6  6  7  6  6  7  5  8  6  5  5  7  5  5
 [43561]  6  6  6  6  7  5  7  8  5  8  6  2  6  7  7  7  3  6  9  7  6  6  7  5
 [43585]  5  7  6  6  8  8  5  7  7  5  6  5  4  7  7  4  7  7  6  5  4  7  6  8
 [43609]  9  4  8  4  3  5  8  6  8  5  8  7  7  6  6  6  6  6  6  5  5  6  7  5
 [43633]  6  6  5  6  7  6  7  8  4  6  9  7  6  7  5  4  4  7  6  6  7  8  6  6
 [43657]  6  5  6  5  3  8  7  6  8  6  9  7  8  2  9  5  7  7  7  4  4  6  6  5
 [43681]  6  8  6  5  4  6  5  5  4  7  7  4  2  5  5  9  5  8  6  7  6  6  7  7
 [43705]  4  7  8  6  8  3  4  8  3  5  5  7  3  4  6  5  6  7  7  5  7  5  7  8
 [43729]  2  7  5  7  7  6  6  7  5  9  5  5  5  7  9  7  8  5  5  7  8  8  8  4
 [43753]  4  8  5  5  6  6  7  4  9  5  6  8  6  8  6  7  6  6  6  3  4  3  7  7
 [43777]  7  6  7  6  7  5  7  5  4  8  8  7  7  6 10  5  4  5  6  7  7  4  5  7
 [43801]  7  8  6  4  8  7  4  8  7  8  6  7  5  5  8  4  8  6  3  4  5  4  8  8
 [43825]  7  6  5  6  7  6  6  5  6  6  5  8  3  5  6  6  3  6  9  6  6  5  7  5
 [43849] 10  5  6  7  5  6  6  7  5  8  6  7  7  7  5  4  8  8  7  6  8  7  6  6
 [43873]  5  8 10  6  7  5  7  7  9  5  5  7  5  8  5  7  5  3  6  5  7  8  3  5
 [43897]  7  4  7  4  4  6  4  5  6  6  5  9  8  3  5  6  6  5  7  7  7  4  5  6
 [43921]  7  4  6  8  8  7  9  5  5  6  5  7  6  5  5  6  5  5  6  6  7  6  7  4
 [43945]  5  5  8  2  7 10  9  7  6  5  5  4  5  9  7  5  5  6  5  4  6  6  5  7
 [43969]  7  7  7  7  6  6  8  7  7  6  8  8 10  4  6  2  8  8  7  8  6  7  5  8
 [43993]  5  6  6  7  6  7  7  3  6  5  7  5  6  5  6  6  4  6  7  7  9  4  3  6
 [44017]  8  7  6  5  7  6  4  7  4  5  7  5  8  6  8  4  4  5  9  7  4  7  7  4
 [44041]  7  9  6  8  9  5  7  5  6  7  7  6  6  5  4  3  4  6  6  8  5  6  6  6
 [44065]  5  6  6  9  7  5  4  7  8  6  7  7  6  6  4  6  6  6  7  6  8  6  5  5
 [44089]  5  5  7  7  9  4  7  8  9  6  4  5  9  5  7  5  4  6  4  5  7  5  7  9
 [44113]  5  3  3  3  5  6  6  5  8  8  5  5  4  5  6  3  8  5  8  5  9  7  7  4
 [44137]  7  4  7  8  7  5  7  6  7  8  4  5  6  7  8  5  4  5  6  6  5  5  6  5
 [44161]  5  6  7  8  6  7  5  6  4  6  6  6  6  4  5  6  4  7  4  7  6  5  8  5
 [44185]  1  5  5  8  6  7  5  8  5  5  3  7  8  5  7  7  8  4  9  6  6  8  7  4
 [44209]  4  5  4  4  6  6  6  5  3  9  5  4  4  5  6  4  6  6  6  6  5  8  3  8
 [44233]  6  7  8  6  4  5  6  9  7  7  8  6  5  7  8  7  5  7  7  6  7  8  7  4
 [44257]  6  6  6  8  4  6  4  9  9  8  6  4  5  4  7  5  7  5  7  6  6  6  8  9
 [44281]  8  3  5  5  7  8  9  7  6  7  8  8  6  5  4  5  8  5  5  5  3  5  4  6
 [44305]  4  7  6  5  7  5  7  7  7  9  6  6  5  6  6  7  5  5  6  4  7  5  4  5
 [44329]  6  6  6  7  4  7  6  5  8  4  4  8  7  8  9  7  6  5  7  2  5  5  6  7
 [44353]  6  8  7  5  5  6  7  7  5  6  7  3  8  7  7  9  6  6  9  5  8  5  5  8
 [44377]  8  5  6  6  7  6  4  6  6  5  3  8  7  6  4  4  8  3  5  7  7  6  6  7
 [44401]  6  6  6  6  6  8  6  4  5  3  7  5  3  7  7  6  8  5  8  7  4  3  7  7
 [44425]  9  8  5  7  8  8  6  6  7  4  7  2  7  8  6  4  7  8 10  9  4  6  5  6
 [44449]  7  6  4  7  7  5  8  6  6  7  5  6  5  6  5  3  7  6  6  6  5  4  7  5
 [44473]  4  6  6  7  5  8  6  5  8  7  7  6  6  7  4  7  4  7  9  9  6  7  5  8
 [44497]  6  5  5  9  8  4  4  8  5  7  4  8  5  6  6  6 10  6  6  6  8  4  6  9
 [44521]  4  8  6  7  6  5  5  5  6  6  7  8  8  2  6  7  8  3  6  6  4  6  8  8
 [44545]  8  6  4  8  6  6  4  6  7  6  7  5  7  6  7  9  3  4  7  3  7  7  2  5
 [44569]  7  6  8  6  6  9  7  7  8  7  5  6  7  6  8  5  7  7  4  8  5  6  7  3
 [44593]  5  6  6  6  8  6  5  6  6  6  7  7  9  5  8  5  7  7  4  7  7  7  4  6
 [44617]  5  4  7  7  6  5  6  5  6  6  6  7  5  4  7  8  6  7  7  6  5  4  7  9
 [44641]  2  9  6  5  7  6  5  7  6  7  3  6  9  3  8  6  4  4  7  5  3  6  3  6
 [44665]  4  6  6  6  8  3  5  6  8  8  7  6  6  6  4  6  6  8  5  4  4  5  3  5
 [44689]  6  8  6  4  4  7  6  8  7  3  5  4  6  5  7  7  6  4  5  7  1  4  7  5
 [44713]  6  7  9  6  7  6  7  7  6  7  7  3  6  7  7  7  3  4  8  7  5  6  5  9
 [44737]  6  6  3  7  6  5  7  8  7  6  8  3  7  3  5  3  8  6  5  9  4  5  5  6
 [44761]  5  8  4  9  5  8  5  5  6  7  5  7  6  3  8  2  5  7  5  5  6  4  7  3
 [44785]  6  7  5 10  3  4  9  8  7  7  6  2  4  7  8  6  7  6  7  7  5  8  6  8
 [44809]  5  5  9  5  7  8  5  7  4  4  5  4  7  7  7  7  9  8  8  8  9  6  7  4
 [44833]  6  5  3  7  7  8  7  5  5  4  6  6  7  5  7  5  6  8  8  8  6  6  8  3
 [44857]  6  6  5  7  5  7  5  6  8  5  5  6  2  6  8  7  3  5  7  7  5  4  7  8
 [44881]  7  8  5  8  8  5  6  5  7  7  9  8  5  8  6  7  6  3  7  6  6  5  4  6
 [44905]  6  8  6  7  6  8  6  8  6  7  5  5  3  6  7  7  6  4  3  5  6  3  4  6
 [44929]  6  6  4  6  8  9  6  6  8  5  6  5  6  7  8  5  5  6  5  7  5  9  7  4
 [44953]  6  8  7  6  6  4  8  9  6  3  4  5  6  7  5  7  7  7  6  5  8  5  7  5
 [44977]  6  4  5  4  6  9  5  6  6  7  5  7  4  5  6  4  5  5  6  7  7  7  6  7
 [45001]  8  6  2  3  6  5  7  5  5  6  8  5  5  3  5  5  6  5  7  5  9  4  6  8
 [45025]  4  8  4  7  5  4  5  5  6  7  4  5  7  3  4  7  8  5  2  4  7  2  7  9
 [45049]  5  4  4  5  8  6  5  6  5  5  6  7  6  4  5  7  8 10  9  5  6  4  6  8
 [45073]  5  6  8  6  9  6  7  7  6  7  5  4  7  3  7  7  7  4  3  8  5  9  4  6
 [45097]  7  7  5  6  8  8  6  6  6  6  4  4  3  5  6  9  4  3  5  5  5  6  7  7
 [45121]  5  5  8  5  8  6  4  7  5  9  6  6  5  7  5  5  6  7  4  8  6  8  4  3
 [45145]  4  3  8  6  5  6  5  5  6  7  8  6  8  8  3  5  5  5  7  7  9  8  8  8
 [45169]  8  4  7  7  5  4  5  6  6  5  9  8  4  9  8  4  8  9  4  6  7  8  7  7
 [45193]  4  5  4  5  6  6  4  6  4  8  5  6  5  6  5  5  3  3  5  6  3  6  8  5
 [45217]  8  8  2  5  7  9  6  4  6  4  6  4  6  7  3  6  7  5  7  3  7  7  4  5
 [45241]  3  7  5  6  8  8  8  5  5 10  6  4  8  6  5  5  8  4  5  6  8  3  2  5
 [45265]  5  6  5  8  7  7  5  6  7  4  6  6  9  6  6  6  3  8  4  7  7  7  4  6
 [45289]  4  6  4  2  3  5  4  5  8  9  3  8  6  4  6  5  6  3  7  4  8  8 10  6
 [45313]  8  6  4  8  8  5  5  5  6  2  5  6  6  3  7  8  7  6  7  4  8  8  8  6
 [45337]  8  7  4  6  4  6  7  4  7  7  5  6  5  4  4  6  7  6  7  5  7  5  6  7
 [45361]  5  8  5  3  8  5  6  4  7  6  7  9  6  5  7  6  8  8  8  6  5  3  9  7
 [45385]  5  6  9  6  4  5  7  7  6  7  5  4  7  5  3  9  7  2  8  9  5  5  8  5
 [45409]  6  7  9  6  6  5  8  4  8  8  8  5  4  5  6  7  5  5  5  7  7  8  4  3
 [45433]  6  7  9  5  5  7  4  9  8  6  8  6  8  6  5  6  6  4  8  4  7  8  9  5
 [45457]  4  4  7  7  7  8  6  7  6  6  6  4  8  7  6  7  4  8  7  6  6  6  7  6
 [45481]  6  9  6  7  7  6  7  6  4  7  6  7  5  7  4  3  7  5  5  7  7  6  7  6
 [45505]  7  4  6  6  6  6  2  6  5  4  6  7  7  5  7  4  9  4  6  7  5  4  5  6
 [45529]  7  6  6  6  7  4  5  8  8  7  6  4  7  6  7  6  5  6  7  7  7  6  7  2
 [45553]  6  5  5  7  5  5  4  8  6  7  5  8  5  5  8  9  7  6  8  7  6  2  6  7
 [45577]  7  5  8  6  8  8  8  9  6  6  4  5  5  6  4  8  8  6  6  3  5  1  6  6
 [45601]  7  8  8  5  5  9  4  6  9  4  6  4  8  7  4  5  5  5  7  5  4  8  4  6
 [45625]  6  3  4  6  6  8  5  7  8  5  7  8  6  7  7  5  4  6  7  2  5  5  5  6
 [45649]  7  4  7  4  7  6  5  3  7  9  7  9  7  6  4  4  7  5  5  3  7  6  6  6
 [45673]  8  8  4  6  8  6  4  8  6  6  6  8  6  3  6  5  7  5  6  5  5  5  7  2
 [45697]  5  5  3  7  8  8  5  6  8  5  6  4  5  5  7  6  9  7  7  6  9  8  9  8
 [45721]  6  5  8  8  7  6  5  6  5  7  5  5  7  6  4  6  5  6  7  4  6  6  5  5
 [45745]  5  6  5  6  6  6  6  6  6  6  7  6  9  5  6  6  7  7  4  8  4  3  5  7
 [45769]  6  5  7  6  6  8  7  5  7  8  5  5  3  8  7  7  8  4  6  7  6  7  7  3
 [45793]  4  8  5  6  8  4  4  4  8  5  7  4  4  5  6  6  7  7  9  7  6  7  8  4
 [45817]  5  4  7  7  6  3  6  7  8  5  6  4  6  6  7  4  6  7  6  4  7  7  8  5
 [45841]  4  7  7  5  4  8  3  6  7  6  5  8  4  5  4  7  7  7  5  7  8  5  9  7
 [45865]  7  3  8  7  7  5  6  7  6  7  4  6  9  8  7  4  6  4  3  7  6  2  4  3
 [45889]  4  5  4  5  4  7  7  5  7  7  6  8  8 10  6  7  6  4  4  6  8  7  4  4
 [45913]  5  5  4  5  4  5  5  5  6  2  6  6  7  6  6  8  4  6  6  6  6  6  7  5
 [45937]  6  6  9  6  8  6  7  2  7  7  8  6  3  7  4  5  7  5  5  5  3  6  6  2
 [45961]  5  6  5  6  4  9  6  8  5  4  7  5  5  8  7  5  7  4  3  8  5  8  8  6
 [45985]  7  8  6  5  7  5  7  7  7  9  7  8  7  6  5  3  7  7  9  7  6  6  7  5
 [46009]  5  8  8  5  7  9  5  6  6  4  8  8  4  6  6  6  6  8  8  7  8  6  8  5
 [46033]  5  3  5  5  6  4  9  4  7  6  5  6  5  7  5  4  5  6  8  6  9  6  9  7
 [46057]  6  5  5  4  5  5  6  6  8  9  7  7  1  5  9  4  5  8  6  7  6  8  5  8
 [46081]  5  9  6  6  6  8  5  8  8  5  6  5  9  4  5  5  7  6  5  6  6  7  4  6
 [46105]  2  8  8  5  6  3  2  6  7  6  7  5  7  6  4  5  8  6  7  7  7  8  5  6
 [46129]  8  7  4  5  7  7  8  7  8  3  8  8  9  8  5  7  6  7  5  6  7  6  7  4
 [46153]  5  7  5  6  7  9  9  7  8  7  6  4  3  6  6  5  9  5  7  7  8  7  5  6
 [46177]  8  3  4  6  6  6  0  7  7  9  6  7  5  8  5  6  7  7  5  6  6  7  7  8
 [46201]  8  8  7  6  3  5  7  8  6  8  8  7  7  7  4  5  5  4  6  4  6  8  8  6
 [46225]  5  7  4  8  6  5  7  8  7  5  6  7  6  5  8  8  3  5  7  7  7  8  8  2
 [46249]  7  5  6  6  6  5  9  4  4  7  6  7  7  8  6  9  5  7  7  5  6  8  5  7
 [46273]  5  6  6  7  6  6  4  8  5  7  6  8  5  5  6  8  7  8  5  5  5  5  7  6
 [46297]  5  7  9  5  5  5  5  6  6  5  7  8  8  5  5  5  7  3  4  5  6  6  7  7
 [46321]  6 10  9  4  8  7  5  5  5  8  6  6  5  8  6  8  6  6  6  7  7  5  6  5
 [46345]  6  5  8  3  8  6  5  6  6  8  3  7  6  5  8  5  5  6  3  6  3  6  5  9
 [46369]  8  3  7  9  8  7  5  4  6  6  3  8  8  5  5  6  5  5  5  8  6  6  8  9
 [46393]  8  5  5  6  7  4  4  6  8  8  7  7  5  5  5  3  6  8  7  6  7  8  6  6
 [46417]  7  6  5  6  8  5  5  3  5  7  5  8  7  5  4  6  4  7  5  5  6  8  3  6
 [46441]  7  8  7  3  9  7  5  7  5  6  7  3  5  5  5  7  5  3  7  6  7  7  6  6
 [46465]  8  7  8  4  5  6  8  7  7  5  3  4  6  8  5  6  3  6  6  6  7  7  5  8
 [46489]  7  2  7  5  6  8  6 10  5  4  7  5  6  7  2  5  8  4  5  6  7  9  5  8
 [46513]  4  6  7  6  8  5  7  5  6  8  5  7  7  7  6  5  5  6  7  8  7  7  6  5
 [46537]  8  7  5  5  6  7  6  8  5  6  4  8  8  4  6  5  6  6  5  8  5  4  6  4
 [46561]  7  5  7  7  3  8  6  9  6  9  9  7  6  7  4  7  6  5  7  9  6  7  5  6
 [46585]  8  6  9  2  6  3  6  3  6  7  5  8  5  7  7  6  6  4  5  8  6  4  6  6
 [46609]  5  7  4  7  5  6  5  7  4  3  4  6  7  4  8  6  6  6  6  4  6  4  6  7
 [46633]  8  9  3  6  4  8  2  5  4  5  6  9  7  6  7  7  6  7  7  7  6  5  5  8
 [46657]  9  5  7  4  4  3  4  5  7  5  5  4  6  7  5  7  3  2  6  7  4  6  4  7
 [46681]  6  7  5  7  8  7  4  8  6  4  7  5  5  7  6  7  6  7  7  4  6  6  5  3
 [46705]  4  8  8  8  5  5  8  4  5  3  5  7  6  9  6  7  6  4  7  8  4  6  8  6
 [46729]  5  3  6  4  8  6  3  6  7  6  8  5  7  6  6  5  8  4  5  3  7  3  7  8
 [46753]  5  6  7  3  7  8  7  3  6  7  3  5  5  7  3  8  6  7  4  6  7  7  8  5
 [46777]  6  5  5  6  7  6  7  7  6  7  7  6  7  8  5  5  8  7  4  4  4  6  8  5
 [46801]  6  6  7  6  3  5  5  8  6  7  7  7  7  8  6  8  4  6  6  7  6  3  3  4
 [46825]  6  5  9  5  6  7  2  7  5  9  6  7  4  6  7  6  5  5  7  8  5  8  5  6
 [46849]  3  5  6  5  7  8  3  4  5  5  7  6  5  8  8  6  8  8  8  8  9  6  6  4
 [46873]  8  5  5  6  4  7  7  5  8  6  5  6  7  6  4  5  8  8  6  5  5  4  7  6
 [46897]  7  7  5  6  7  6  7  6  7  5  8  5  6  6  6  7  7  6  8  8  5  5  7  9
 [46921]  6  4  6  4  6  5  6  5  9  6  9  5  7  7  7  8  6  6  5  5  6  5  6  6
 [46945]  5  7  5  7  6  6  6  4  4  6  6  4  2  6  4  4  6  3  7  7  4  6  7  3
 [46969]  8  8  7  6  3  5  4  6  7  6  7  7  6  7  5  6  6  5  5  8  6  6  5  9
 [46993]  5  8  5  9  5  4  6  8  8  6  5  3  5  8  7  6  6  5  6  7  6  7  6  7
 [47017]  5  4  7  8  4  2  7  7  6  4  8  9  8  8  6  5  8  8  8  5  8  4  6  5
 [47041]  6  6  6  8  6  9  9  9  6  5  4  6  5  8  7  6  7  5  4  7  8  2  3 10
 [47065]  8  6  7  5  8  6  8  8  6  8  6  6  8  8  3  5  3  6  7  6  6  6  4  7
 [47089]  8  8  5  5  7  7  8  5  5  7  5  7  3  4  5  5  3  9 10  8  4  7  4  9
 [47113]  7  7  5  7  6  8  6  7  5  8  7  6  5  5  8  6  4  6  3  6  6  6  6  5
 [47137]  7  6  4  5  8  6  6  4  6  8  5  4  7  8  6  7  8  6  6  6  7  5  7  8
 [47161]  6  5  5  6  5  8  6  5  8  3  6  6  5  8  6  6  4  1  6  5  7  6  6  4
 [47185]  8  6  8  9  5  7  4  6  7  6  5  4  6  6  6  5  3  5  5  6  8  5  4  6
 [47209]  6  6  4  6  6  4  8  2  7  7  4  5  6  7  7  7  3  8  7  7  6  7  6  7
 [47233]  6  4  6  6  6  6  5  5  7  5  6  2  5 10  6  5  7  7  7  4  3  2  5  6
 [47257]  6  7  8  4  8  6  4  7  5  8  8  3  6  7  5  6  4  6  6  7  5  5  4  5
 [47281]  7  5  5  9  3  4  6  5  6  4  7  8  6  7  6  4  6  3  7  5  7  8  4  5
 [47305]  9  6  6  6  7  8  9  8  5  5  5  4  5  8  5  4  5  5  5  7  4  7  7  6
 [47329]  8  7  4  3  6  7  7  4  6  6  5  7  6  3  3  6  5  8  7  2  5  5  7  6
 [47353]  8  7  7  6  6  5  8  5  7  3  6  3  7  4  2  5  5  7  8  6  7  5  5  3
 [47377]  6  7  5  7  7  8 10  6  7  8  8  5  6  6  4  6  7  6  6  5  7  7  5  7
 [47401]  6  4  6  5  7  8  7  7  3  6  5  8  7  8  7  3  4  4  5  7  8  5  7  7
 [47425]  7  7  6  9  6  7  7  8  6  7  8  5  5  6  5  6  5  6  5  5  5  6  5  5
 [47449]  8  6  6  5  3  6  5  8  8  8  7  7  4  4  7  6  4  7  7  4  5  5  6  4
 [47473]  7  6  7  5  7  7  7  4  7  6  5  3  6  9  4  7  6  5  8  6  6  6  6  6
 [47497]  5 10  4  5  7  6  7  8  7  7  4  8  5  7  3  5  4  8  5  4  6  9  4  4
 [47521]  4  7  6  2  9  7  8  7  8  7  6  8  5  6  6  7  8  5  6  6  5  7  6  6
 [47545]  5  7  5 10  7  7  6  7  8  7  6  6  6  8  6  3  4  5  3  6  6  7  6  5
 [47569]  4  5  8  8  7  4  7  5  7  6  5  6  7  6  8  6  7  6  3  7  5  8  8  5
 [47593]  6  5  7  7  5  4  6  8  8  8  6  4  3  6  6  3  4  9  6  7  7  5  8  5
 [47617]  9  7  5  5  3  4  5  6  5  4  3  6  5  6  6  3  3  6  8  7  5  6  7  9
 [47641]  7  6  7  7  7  4  6  4  5  4  6  7  7  5  5  7 10  8  8  7  5  3  7  4
 [47665]  6  5  7  4  6  6  4  4  8  7  7  5  8  7  8  7  5  3  5  5  6  6  5  5
 [47689]  7  5  7  4  7  5  7  7  5  5  5  3  7  6  6  5  3  7  7  5  5  6  5  6
 [47713]  7  6  6  6  5  8  8  5  5  6  4  6  7  6  6  7  5  4  3  7  5  5  4  7
 [47737]  5  5  4  8  7 10  2  5  4  7  7  6  5  5  5  7  7  8  5  5  7  6  5  5
 [47761]  7  8  5  7  5  7  7  4  8  7  8  4  5  6  6  6  4  5  7  5  4  8  6  6
 [47785]  6  5  7  7  8  8  3  6  4  6  4  8  8  6  7  6  9  7  4  8  6  7  7  4
 [47809]  5  4  7  7  5  8  8  6  6  3  4  8  8  7  5  6  3  5  4  8  5  8  7  7
 [47833]  7  7  4  8  4  7  7  5  7  7  5  5  7  6  3  7  7  5  7  4  7  7  7  7
 [47857]  4  7  3  8  6  6  9  5  5  4  4  7  4  4  8  5  7  6  7  4  7  4  8  6
 [47881]  7  5  7  8  9  4  7  9  5  5  6  9  8  7  4  8  9  5  7  6  5  7 10  6
 [47905]  5  5  5  7  5  6  7  7  6  5  6  9  6  3  4  7  4  8  4  6  8  5  8  5
 [47929]  6  7  6  6  4  6  6  5  5  8  4  7  8  7  6  7  5  6  5  5  7  6  6  3
 [47953]  8  4  5  8  5  5  7  8  5  7  7  6  5  6  5  5  4  7  6  7  7  6  7  6
 [47977]  4  7  5  6  7  9  4  7  6  8  7 10  8  6  4  6  3  5  9  7  5  5  4  6
 [48001]  6  7  5  5  5  4  4  5  7  4  4  8  5  5  7  8  4  8  7  5  7  7  6  8
 [48025]  6  3  3  7  4  5  3  6  4  2  7  4  7  8  8  8  5  2  5  4  5  5  8  7
 [48049]  8  6  7  6  6  6  5  7  6  6  5  5  4  7 10  7  6  7  7 10  5  6  8  7
 [48073]  7  6  7  7  6  6  9  7  3  7  4  8  8  6  6  6  7  6  2  7  2  6  5  5
 [48097]  4  4  6  9  8  5  3  5  7  5  6  6  9  5  5  3  4  7  5  6  7  7  8  5
 [48121]  8  6  5  7  4  7  7  5  7  6  3  8  5  8  8  6  6  7  7  3  6  4  7  7
 [48145]  8  7  6  6  6  7  5  5  6  5  5  4  9  5  7  8  3  5  4  5  8  4  6  5
 [48169]  7  8  5  6  8  7  4 10  6  7  8  8  7  6  7  8  7  7  4  3  5  8  7  4
 [48193]  5  8  7  5  7  4  7  6  9  6  7  7  8  6  5  7  4  4  6  5  7  8  8  6
 [48217]  5  6  7  6  4  5  4  6  4  2  6  2  4  6  7  8  6  3  8  8  6  6  5  8
 [48241]  5  7  7  7  9  5  6  7  6  6  8  6  7  7  4  9  3  6  6  8  5  7  6  5
 [48265]  4  8  8  3  8  6  5  4  4  4  6  4  4  4  6  7  6  6  6  7  8  5  5  7
 [48289]  7  6  5  5  4  6  5  7  5  6  6  4  8  7  7  6  4  8  6  4  6  5  4  5
 [48313]  4  2  7  5  8  6  5  5  5  5  7  5  6  5  6  4  8  4  8  4  7  8  4  5
 [48337]  8  6  6  6  6  4  3  5  6  2  6  6  9  6  7  5  7  5  6  5  7  6  6  7
 [48361]  3  6  5  5  6  6  8  5  5  4  6  5  5  4  5  6  5  5  6  5  7  5  6  5
 [48385]  7  6  9  5  4  6  6  7  6  7  4  5  2  5  8  4  8  5  7  7  6  6  5  4
 [48409]  8  6  6  5  5  5  6  5  8  7  5  7  5  4  7  6  7  4  6  7  5  6  6  6
 [48433]  7  6  6  6  6  5  8  5  7  3  6  8  6  4  8  5  6  7  5  3  8  5  7  6
 [48457] 10  6  4  7  4  5  6  5 10  8  6  4  6  7  4  7  8  7  8  6  5  6  5  5
 [48481]  5  6 10  4  6  1  9  9  3  7  6  8  7  8  7  5  6  4  4  8  6  9  5  5
 [48505]  6  8  5  6  7  7  6  5  5  8  6  5  8  7  8  7  8  5  5  7  7  5  4  5
 [48529]  6  7  7  6  6  5  5  7  8  4  6  6  5  6  4  4  8  7  6  5  5  3  7  5
 [48553]  9  6  4  4  6  7  5  7  8  7  6  6  7  6  3  6  8  4  8  3  5  9  6  7
 [48577]  8  6  5  9  6  3  4  7  5  7  7  6  6  8  6  5  7  8  5  7  5  8  6  5
 [48601]  2  4  5  2  4  6  4  7  8  7  5  3  6  8  7  6  6  7  3  6  4  6  9  9
 [48625]  8  7  8  5  8  8  8  8  4  3  7  4  8  7  7  8  7  6  8  5  4  4  8  4
 [48649]  7  3  4  6  9  7  8  6  7  6  5  3  6  7  5  4  7  5  7  8  9  4  8  7
 [48673]  7  7  5  7  5  4  6  5  7  4  7  6  6  7  5  6  4  9  5  9  8  8  4  5
 [48697]  7  7  7  8  7  7  6  8  3  8  8  6  7  5  3  5  7  6  7  6  6  7  8  4
 [48721]  7  6  5  6  5  5  3  8  7  6  4  7  5  4  4  6  7  6  6  4  9  8  5  5
 [48745]  7  5  4  8  7  5  7  6  4  6  5  4  7  6  5  5  7  6  9  5  4  8  7  7
 [48769]  7  5  6  7  5  7  5  8  9  8  4  3  5  7  2  6  4  9  5  6  7  5  6  8
 [48793]  5  6  4  6  7  5  5  5  4  5  6  7  6  6  7  7  6  5  5  4  6  8  7  8
 [48817]  5  4  5  8  6  6  2  7  3  6  6  4  6  4  6  6  9  7  6  6  7  5  5  5
 [48841]  7  4  7  8  8  5  8  8  5  5  8  4  5  6  5  8  4  6  7  8  4  4  6  3
 [48865]  6  7  7  6  5  3  6  2  9  6  4  5  3  4  8  7  6  5  6  3  7  6  8  5
 [48889]  7  8  8  5  4  3  8  6  7  4  6  8  4  7  7  6  7  8  6  7  4  5  8  5
 [48913]  6  7  7  8  6  4  6  5  6  5  4  4  5  7  9  6  6  7  8  7  5  8  5  6
 [48937]  4  5  9  5  6  4  4  6  6  3  4  6  4  6  5  4  5  7  7  7  5  5  5  3
 [48961]  6  8  7  8  8  8  7  5  8  6  9  6  8  5  7  6  7  5  5  5  4  5  8  6
 [48985]  7  6  5  5  4  6  7  6  6  5  7  5  7  7  6  6  4  5  7  5  5  6  4  6
 [49009]  8  7  5  8  7  4  9  6  5  5  5  5  8  4  6  6  6  4  8  4  5  6  7  7
 [49033]  5  5  4  6  9  4  6  5  7  5  5  6  5  5  5  9  8  7  4  6  6  6  4  7
 [49057]  6  4  6 10  8  5  8  7  8  6  5  7  7  5  6  7  5  9  9  5  8  5  8  2
 [49081]  8  7  4  5  7  4  4  3  8  7  9  7  5  4  5  8  8  7  7  6  3  7  7  5
 [49105]  6  5  7  7  9  8  6  5  9  6  7  6  5  6  7 10  5  4  5  6  7  5  4  7
 [49129]  7  6  7  6  7  9  4  5  4  6  6  4  5  6  6  4  8  6  4  5  3  6  6  7
 [49153]  8  5  6  7  5  6  5  6  5  4  5  6  5  4  5  6  7  5  6  7  6  6  5  3
 [49177]  6  4  5  6  3  5  8  6 10  6  7  5  2  5  7  5  6  5  5  8  5  6  7  4
 [49201]  5  8  7  5  4  6  7  7  6  6  9  7  7  7  9  7  2  7  8  5  9  6  9  7
 [49225]  4  5  7  7  7  5  5  6  7  9  6  7  5  7  3  6  5  6  6  3  5  5  6  8
 [49249]  7  7  6  7  6  8  3  6  4  8  6  4  3  5  6  5  7  5  3  7  4  5  6  6
 [49273]  7  5  6  8  9  5  4  7  7  5  6  9  6  7  8  5  3  2  6  2  5  2  1  7
 [49297]  7  8  8  7  7  7  9  7  7  6  6  6  6  2  4  7  8  4  6  6  8  3  8  6
 [49321]  6  7  7  4  4  5  4  4  4  3  6  7  4  7  7  8  8  3  7  4  6  9  8  4
 [49345]  5  6  6  8  6  6  6  5  4  5  8  5  6  8  8  8  6  7  7  7  7  6  8  5
 [49369]  8  7  4  7  5  5  5  7  3  7  5  6  7  7  4  6  3  7  7  7  7  7  4  8
 [49393]  7  6  6  5  4  5  6  7  6  5  4  5  7  7  6  8  6  6  7  6  7  6  6  6
 [49417]  8  5  7  5  8  5  4 10  5  5  7  8  4  6  3  5  4  6  4  5  6  6  7  8
 [49441]  2  8  7  8  3  5  4  5  6  9  8  6 10  7  5  6  7  6  5  6  9  4  4  4
 [49465]  4  7  8  5  7  7  8  7  3  7  8  6  6  6  5  6  7  8  3  4  6  7  8  6
 [49489]  4  4  4  5  6  5  7  8  7  7  7  7  6  6  5  3  6  6  7  6  7  7  8  6
 [49513]  6  4  6  7  6  7  6  8  4  9  4  5  6  5  8  5  9  6  6  6  8  7  3  7
 [49537]  5  7  9 10  6  6  2  8  6  6  5  6  5  3  4  7  7  5  4  7  7  5  5  7
 [49561]  3  8  4  4  5  5  7  6  7  4  6  6  5  6  7  8  8  5  4  7  5  7  7  4
 [49585]  5  5  3  4  5  6  5  7  9  8  7  6  6  5  6  5  6  5  7  5  5  8  2  7
 [49609]  5  7  5  7  3  8  5  7  7  6  4  7  8  5  6  6  5  5  7  5  8  7  4  7
 [49633]  8  7  6  9  6  6  9  5  8  4  7  6  7  8  6  9  8  6  6  7  4  8  8  7
 [49657]  8  7  6  4  6  7  5  5  6  8 10  7  9  4  6  6  5  7  5  6  8  7  7  6
 [49681]  6  7  6  6  4  7  6  8  7  9  6  7  8  8 10  7  6  5  6  6  7  6  6  9
 [49705]  8  8  6  7  6  8  7  6  7  7  6  6  6  5  5  6  5  5  6  6  8  5  5  6
 [49729]  4  4  6  7  4  5  3  6  4  5  7  7  8  4  6  7  5  7  7  5  7  7  9  6
 [49753]  5  8  7  7  7  5  7  6  7  8  4  6  7  6  5  7  5  7  6  7  7  6  4  4
 [49777]  7  5  7  4  5  6  7  7  3  5  7  5  7  5  7  7  6  7  8  8  8  6  8  7
 [49801]  7  7  8  5  3  5  9  5  7  5  8  5  6  7  6  7  5  6  6  5  4  6  6  5
 [49825]  8  4  5  7  7  5  6  6  6  8  4  8  4  6  6  3  8  8  8  4  7  6  6  7
 [49849]  5  5  8  9  6  6  7  6  7  7  8  6  7  7  5  5  6  7  5  6  7  7  7  7
 [49873]  6  5  6  9  5  5  5  7  4  7  5  5  7  9  7  7  3  8  6  6  5  7  8  5
 [49897]  6  8  9  5  6  6  8  5  5  4  7  4  5  6  8  7  6  5  8  7  5  6  5  4
 [49921]  5  4  6  7  3  7  5  5  5  6  6  5  6  7  5  8  8  5  6  4  5  6  6  6
 [49945]  6  8  8  8  4  4 10  6  6  4  4  6  7  6  7  8  6  4  6  8  9  7  6  9
 [49969]  1  3  5  6  7  5  4  4  5  4  6  5  7  6  8  6  5  4  5  6  6  6  7  4
 [49993]  7  5  7  6  4  5  6  6  6  5  5 10  8  5  4  7  7  7  5  5  7  7  4  7
 [50017]  7  4  5  8  7  6  5  4  6  5  7  6  5  8  3  6  6  6  7  6  8  4  8  7
 [50041]  6  7  7  7  8  8  5  8  6  7  6  6  5  7  5 10  6  5  5  7  3  6  5  7
 [50065]  6  5  8  6  7  7  6  8  6  6  7  6  5  3  4  7  8  4  4  9  7  7  5  5
 [50089]  8  5  6  5  4  4  9  6  6  6  5  7  8  7  6  7  6  1  7  5  7  7  7  3
 [50113]  6  8  5  7  6  5  5  7  6  3  5  9  4  6  4  5  6  7  6  8  6  8  5  7
 [50137]  3  5  6  7  3  5  6  7  7  6  8  8  4  4  4  5  4  3  4  6  6  6  5  6
 [50161]  6  3  1  4  8  6  8  2  8  3  5  3  9  7  5  5  4  5  4  8  6  5  6  8
 [50185]  5  5  6  3  5  6  5  6  7  7  6  7  6  8  3  6  5  4  5  8  6  7  5  7
 [50209]  8  9  7  4  5  6  5  8  5  6  5  6  5  4  3  5  9  5  6  6  4  8  6  8
 [50233]  8  6  4  5  8  6  3  6  5  5  7  5  7  6  5  2  5  2  7  7  4  5  7  8
 [50257]  6  6  5  7  8  2  5  8  9  4  6  7  6  8  5  7  5  5  6  5  7  7  7  8
 [50281]  6  5  7  6  3  5  5  6  6  7  6  5  7  5  4  9  6  7  7  3  5  4  6  3
 [50305]  6  5  5  3  6  6  7  9  5  5  8  7  6  7  4  5  6  8  6  6  5  6  5  6
 [50329]  7  4  5  8  8  4  8  8  7  6  4  8  7  4  8  7  4  9  5  8  6  6  6  5
 [50353]  4  6  7  5  6  5  8  3  6  6  3  5  4  4  7  4  4  5  6  6  7  4  7  6
 [50377]  8  4  6  6  8  5  7  9  7  6  3  6  7  5  7  5  7  9  5  9  6  8  7  7
 [50401]  8  4  6  7  6  4  6  7  6  9  6  5  4  7  5  7  6  5  5  6  5  6  6  3
 [50425]  8  4  7  8  8  7  9  6  8  6  3  6  6  3  6  6  7  6  8  7  6  9  6  3
 [50449]  6  5  5  5  6  5  7  5  5  7  6  4  7  6  7  6  7  4  6  8  8  6  6  5
 [50473]  7  7  5  5  7  8  8  6  8  6  5  7  7  8  7  4  5  7  7  7  7  8  5  5
 [50497]  6  7  6  6  4  6  5  7  5  5  7  6  7  6  5  7  7  7  6  7  6  4  7  3
 [50521]  5  7  8  5 10  5  7  8  4  7  7  7  5  5  3  6  7  3  5  3  5  7  4  6
 [50545]  4  7  4  3  4  4  7  4  7  7  6  7  4  6  4  2  7  4  6  4  8  6  5  6
 [50569]  6  9  5  6  6  6  3  7  5  5  5  7  7  4  3  3  6  6  7  5  7  3  8  6
 [50593]  4  4  8  5  5  8  4  6  6  5  4  5  6  3  7  3  6  6  6  6  8  7  6  4
 [50617]  5  5  5  6  5  8  7  5  7  3  8  4  6  2  3  7  6  7  3  4  6  9  8  4
 [50641]  4  6  6  6  7  9  6  3  9  6  6  8  6  5  8  7  5  8  7  6  7  4  4  9
 [50665]  7  6  3  4  8  5  5  6  5  8  9  9  8  7  6  7  9  7  5  5  6  8  4  5
 [50689]  7  8  6  7  5  8  5  6  6  8  7  6  7  5  7  4  4  6  5  3  5  5  6  9
 [50713]  7  5  8  7  7  3  5  6  8  7  6  5  6  5  6  7  8  4  8  3  5  7  5  7
 [50737]  6  6  6  4  6  7  6  9  6  5  8  7  7  7  8  6  6  6  7  9  6  5  3  4
 [50761]  5  5  5  7  6  5  5  7  4  5  6  6  8  3  6  6  6  7  7  6 10  7  8  6
 [50785]  8  9  8  7  5  6  6  7  8  6  7  7  4  8  7  4  7  3  7  7  6  4  8  7
 [50809]  7  7  7  5  5  6  4  9  4  8  8  7  8  2  3  5  7  5  8  7  6  8  2  3
 [50833]  6  7  4  7  6  6  6  8  7  6  6 10  6  7  9  4  3  6  7  8  3  8  7  6
 [50857]  5  6  4  4  7  7  7  8  6  6  3  8  8  6  5  5  7  6  9  7  5  4  8  7
 [50881]  7  6  4  6  6  6  5  8  8  4  7  5  6  4  6  5  5  6  8  5  6  3  5  6
 [50905]  9  6  7  6  5  8  5  5  8  8  7  6  5  8  6  4  8  4  4  9  4  3  7  4
 [50929]  4  4  5  7  6  7  6  8  4  8  7  8  6  5  4  5  5  6  6  7  6  6  7  8
 [50953]  8  7  6  7  5  5  6  5  6  8  6  5  8  5  4  7  5  8  5  7  3  4  4  8
 [50977]  5  6  6  7  7  8  4  7  8  5  5  5  5  9  5  8  4  9  9  6  8  8  7  6
 [51001]  7  7  5  3  9  8  1  8  5  7  6  7  6  6  6  8  8  2  5  5  7  5  7  8
 [51025]  5  7  8  4  7  6  5  4  6  4  7  4  6  6  7  8  5  5  8  7  6  8  5  6
 [51049]  7  4  4  7  5  8  7  5  7  6  3  8  4  7  2  7  2  4  5  8  7  9  9  7
 [51073]  5  9  8  7  6  6  7  5  8  5  4  7  7  5  8  5  7  6  7  5  5  7  7  7
 [51097]  6  5  6  7  7  5  7  4  8  8  6  5  6  7  5  5  7  6  7  5  7  6  9  8
 [51121]  6  6  5  8  9  7  5  6  2  4  6  8  8  8  5  7  8  7  4  6  7  5  6  8
 [51145]  5  1  4  5  4  6  8  7  7  8  9  7  4  6  6  7  6  7  6  6  4  7  7  8
 [51169]  7  6  8  7  5  8  6  6  6  8  9  5  4  6  8  6  9  8  5  7  7  4  3  7
 [51193]  7  7  8  6  7  7  6  3  4  7  6  5  7  5  7  6  5  8  7  4  6  5  6  5
 [51217]  8  8  5  8  6  4  6  7  7  7  6  8  7  6  8  4  6  7  7  9 10  3  5  6
 [51241]  7  4  6  4  5  5  8  4  9  6  7  6  5  7  7  8  8  7  4  6  6  6  3  5
 [51265]  5  8  7  5  6  6  8  5  3  6  6  9  6  5  7  5  6  7  8  6  7  9  5  4
 [51289]  7  5  5  5  8  6  3  6  8  7  7  6  7  9  8  6  7  7  4  8  7  6  9  8
 [51313]  7  5  5  9  3  5  8  4  8  6  7  8  4  6  8  7  6  7  5  5  6  8  5  8
 [51337]  5  5  4  4  6  8  7  8  8  5  7  6  5  4  3  4  7  5  6  6  6  6  5  9
 [51361]  8  7  7  7  7  4  5  5  1  6  5  5  9  6  9  6  7  9  5  6  5  4  7  8
 [51385]  5  8  7  7  5  5  7  7  4  6  6  5  2  6  7  5  4  8  6  3  9  6  4  7
 [51409]  6  7  6  6  5  4  8  7  8  7  5  9  8  2  7  5  6  5  7  7  5  8  7  5
 [51433]  6  8  6  7  4  6  6  7  5  5  5  4  5  8  4  4  5  7 10  5  7  5  5  6
 [51457]  6  8  7  8  7  5  7  7  7  3  2  5  5  5  7  4  4  7  7  6  5  6  8  5
 [51481]  6  7  5  6  6  5  8  6  7  7  9  5  7  8  4  3  3  3  4  7  4  8  7  6
 [51505]  5  6  6  5  8  2  7  9  9  9  7  8  6  8  5  7  7  7  6  8  7  5  6  4
 [51529]  5  6  4  5  6  4  6  7  3  4  7  8  7  8  5  8  4  7  6  7  7  6  5  4
 [51553]  3  9  6  8  6  3  8  6  8  7  4  5  7  4  7  7  6  6  6  6  5  7  8  5
 [51577]  7  6  8  3  6  8  4  8  7  8  6  3  7  7  7  7  3  6  4  8  5  7  3  8
 [51601]  4  5  6  5  5  6  8  6  8  5  7  7  4  6  8  3  6  4  7  4  4  7  5  5
 [51625]  7  6  6  5  9  2  5  4  3  5  6  7  9  5  8  7  5  6  6  6  7  5  5  5
 [51649]  3 10  7  6  6  6  3  6  4  5  7  8  4  7  8  5  4  7  8  8  5  5  5  3
 [51673]  7  5  7  7  7  7  8  7  5  8  6  7  5  5  6  5  5  6  7  6  8  5  8  3
 [51697]  8  5  7  4  6  7  5  7  7  5  9  8  7  4  7  6  7  4  8  4  7  7  4  6
 [51721]  5  5  7  5  6  4  7  6  5  8  6  7  5  7  8  5  5  4  7  7  7  6  8  6
 [51745]  4  7  3  4  6  4  4  5  7  8  6  6  5  7  6  7  7  7  4  8  6  7  7  6
 [51769]  4  7  5  5  6  5  8  6  7  7  7  8 10  4 10  5  6  8  7  6  4  6  6  7
 [51793]  7  4  7  9  5  4  7  4  8  7  6  3  5  7  6  4  6  6  6  3  6  6  6  5
 [51817]  6  5  5  7  6  4  8  7  8  6  7  5  3  6  7  6  6  6  6  8  3  8  6 10
 [51841]  6  3  6  9  5  4  5  5  8  7  5  6  6  3  7  9  7  4  3  8  6  6  7  7
 [51865]  5  7  5  6  5  8  7  6  7  5  8  6  7  8  8  4  3  6  8  6  7  7  4  8
 [51889]  5  5  9  6  8  4  9  6  3  2  5  4  6  6  6  4  5  6  7  7  4  4  8  5
 [51913]  7  7  5  7  8  6  4 10  5  5  6  6  7  2  4  4  4  6  7  6  7  7  6  5
 [51937]  5  6  4  5  4  6  4  7  7  8  4  7  7  6  7  4  7  8  9  6  4  7  7  7
 [51961]  7  8  6  4  3  6  5  7  8  4  8  8  6  5  4  5  5  7  6  4  5  6  5  6
 [51985]  9  6  8  7  7  8  6  6  5  4  6  7  4  4  6  9  7  7  6  4  7  6  9  5
 [52009]  5  9  4  8  6  4  5  3  6  5  5  8  7  5  7  4  8  5  7  3  5  6  6  8
 [52033]  7  5  5  4  7  5  5  7  6  4  7  9  8  6  5  6  5  8  5  6  6  7  6  5
 [52057]  6  6  8  5  7  6  7  5  7  6  6  6  9  2  7  4  6  6  7  7  4  6  7  2
 [52081]  4  5  6  5  5  5  8  8  5  6  5  3  7  7  6  5  4  6  9  5  5  5  8  4
 [52105]  8  6  6  8  6  5  4  6  5  6  4  5  7  6  4  6  5  7  2  5  8  7  7  6
 [52129]  4  6  8  7  8  6  4  6  7  8  7  4  8  9  8  6  4  8  7  6  6  5  3  6
 [52153]  7  6  7  8  5  6  5  4  6  7  6  4  4  7  4  7  5  7  6  3  5  7  6  6
 [52177]  6  7  7  6  4  7  7  6  6  6  4  6  8  7  6  7  6  8  6  8  4  7  5  5
 [52201]  7  6  8  8  5  6  6  4  9  5  6  6  7  4  5  7  5  5  8  7  5  5  6  6
 [52225]  7  4  6  4  8  6  8  5  6  5  8  8  7  5  6  5  5  6  3  6  6  8  8  6
 [52249]  6  8  4  8  6  8  4  5  4  5  4  7  6  7  7  9  7  6  7  8  6  7  9  7
 [52273]  6  5  4  6  6  5  5  5  3  4  8  5 10  6  5  1  6  5  9  6  5  7  6  5
 [52297]  7  6  8  6  7  3  7  5  5  7  7  4  6  4  5  5  3  7  7  7  8  6  6  5
 [52321]  4  6  7  6  8  9  6  9  6  5  6  4  9  8  6  8  5  8  7  7  6  6  5  5
 [52345]  6  5  7  5  8  5  6  8  7  8  8  5  3  6  9  7  9  6  6  7  5  7  3  7
 [52369]  6  5  8  4  8  6  6  5  5  6  3  5  7  7  4  8  7  8  6  6  8  6  6  5
 [52393]  5  3  6  7  4  7  9  9  8  7  7  7  7  9  9  7  8  5  9  8  5  4  6  5
 [52417]  5  6  7  6  5  5  7  6  6  2  6  6  8  7  8  7  7  8  5  3  7  5  5  6
 [52441]  4  4  7  5  6  6  6  4  5  4  6  7  7  4  8  6  5  6  4  4  6  7  4  7
 [52465]  6  7  9  6  4  5  8  5  8  5  6  8  6  9  5  6  7  3  5  7  4  5  7  7
 [52489]  9  4  8  7  6  9  7  7  6  7  6  9  7  2  7  6  6  9  5  4  5  7  6  5
 [52513]  7  6  9  4  4  5  2  7  7  5  4  5  7  7  9  5  8  8  6  7  7  7  9  9
 [52537]  8  8  4  5  5  8  4  6  5  8  8  6  5  7  4  7  7  6  4  7  6  6  7  4
 [52561]  6  7  7  5  6  5  7  5  4  3  4  3  5  3  3  6  3  9  7  7  4  7  5  3
 [52585]  6  8  6  4  7  8  4  8  8  7  6  7  4  5  5  7  3  3  6  5  5  5  5  4
 [52609]  7  5  7  7  8  7  8  5  3  5  4  6  9  7  8  4  8  7  7  7  7  6  6  5
 [52633]  6  7  6  6  6  4  9  8  6  6  5  6  6  8  5  7  4  5  5  8  5  6  9  7
 [52657]  6  4  6  6  6  2  8  8  6  8  6  4  7  8  7  5  5  6  6  6  6  5  7  8
 [52681]  6  1  4  5  4  8  8  6  4  7  8  6  8  6  6  3  3  7  7  5  6  8  6  6
 [52705]  8  4  8  5  7  3  4  6  6  6  4  6  5  7  4  8  5  5  4  7  8  5  8  4
 [52729]  7  6  7  5  7  4  7  7  6  7  5  3  4  4  7  3  4  5  5  5  7  6  9  4
 [52753]  6  8  6  6 10  5  7  7  6  3  7  7  8  3  8  5  6  7  7  8  8  6  7  7
 [52777]  4  7  7  4  5  4  7  5  5  5  5  5  8  6  6  5  7  6  4  4  6  7  5  5
 [52801]  7  6  6  5  5  7  6  5  6  6  6  5  7  5  7  7  4  5  5  9  5  6  5  4
 [52825]  7  5  7  7  7  9  7  8  7  8  6  8  5  7  8  5  5  9  5  2  7  8  5  6
 [52849]  9  5  4  2  7  6  7  3  4  4  4  4  4  3  5  7  7  8  7  6  7  5  5  5
 [52873]  7  7  5  6  3  5  5  6  6  5  6  8  5  7  7  8  7  5  8  7  4  6  8  3
 [52897]  7  9  6  7  5  8  5  5  6  7  8  8  6  7  6  5  5  4  7  7  6  5  5  7
 [52921]  7  8  8  3  9  5  7  4  6  4  6  3  6  3  5  5  5  7  9  7  7  6  8  6
 [52945]  5  7  9  6  7  8  5  6  7  6  6  7  9  7  6  9  6  5  8  8  4  8  7  6
 [52969]  5  6  6  7  5  8  6  5  6  7  6  6  8  7  6  5  8  7  5  6  5  8  4  8
 [52993]  7  5  6  3  8  7  6  3  6  5  6  5  2  8  5  7  7  6  6  5  6  4  6  6
 [53017]  5  5  7  6  8  4  6  6  6  6  8  8  2  5  7  4  4  6  6  4  6 10  4  5
 [53041]  1  6  6  5  5  7  8  5  5  6  7  4  3  3  9  6 10  5  5  6  7  7  6  7
 [53065]  4  8  5  7  7  7  8  7  4  6  9  9  5  6  5  9  8  3  7  6  7  5  7  6
 [53089]  5  8  5  3  6  5  7  6  4  4  4  5  6  6  5  7  4  6  8  5  4  4  5  6
 [53113]  5  5  6  5  5  7  6  8  8  6  4  4  6  6  8  4  3  5  7  6  8  6  6  8
 [53137]  8  4  8  4  4  7  9  5  6  5  5  7  9  7  5  7  6  5  6  4  8  5  7  6
 [53161]  7  9  6  5  7  9  6  5  8  5  9  5  5  8  6  3  7  6  4  4  5  6  5  5
 [53185]  4  8  4  7  7  7  6  6  6  6  7  5  6  8  7  7  6  7  7  7  5  6 10  6
 [53209]  5  6  8  7  7  6  7  6  2  6  7  5  7  5  5  4  6  5  9  3  7  9  9  6
 [53233]  5  7  4  8  7  6  7  6  8  7  4  5  7  4  7  8  8  8  6  5  9  7  5  6
 [53257]  8  7  7  8  4  5  4  8  5  6  5  7  4  4  4  7  7  6  6 10  6  5  7  8
 [53281]  4  3  7  6  8  4  3  4  5  4  8  5  9  6  7  5  7  6  6  3  4  5  6  6
 [53305]  7  6  6  7  6  5  8  5  7  7  6  4  4  5  7  8  5  6  4  7  5  7  4  5
 [53329]  5  7  6  4  7  5  8  4  6  6  3  8  6  9  5  7  8  6  5  3  5  5  4  4
 [53353]  4  4  5  6  6  8  5  6  4  4  6  6  7  6  7  7  6  7  6  7  7  4  6  5
 [53377]  4  6  7  5  7  9  5  7  4  8  7  7  8  7  6  7  7  5  8  6  4  6  4  4
 [53401]  3  7 10  5  6  7  4  5  7  6  8  7  4  7  6  8  5  5  5  8  7  5  4  6
 [53425]  6  8  5  7  3  6  8  4  7  7  5  5  7  4  9  4  8  4  5  9  6  8  6  6
 [53449]  6  5  3  6  7  4  6  7  4  7  5  3  7  4  8  4  5  9  6  3  5  6  8  5
 [53473]  4  6  6  4  5  6  7  6  8  7  6  2  9  5  7  6  3  6  6  7  6  5  4  9
 [53497]  6  7  5  6  6  6  5  7  6  6  4  6  8  7  5  8  7  5  7  4  6  7  7  8
 [53521]  7  8  5  8  8  7  4  8  6  7  5  6  6  7  7  6  7  3  6  5  8  6  6  6
 [53545]  6  6  2  7  6  7  8  9  6  4  6  6  7  6  7  7  8  4  5  7  5  8  7  4
 [53569]  5  6  5  7  6  8  4  6  7  9  7  7  9  7  7  5  6  6  7  5  8  6  7  1
 [53593]  6  2  7  4  8  7  4  7  5  7  4  7  7  6  6  8  4  4  7  6  9  7  7  7
 [53617]  5 10  5  8  6  7  6  8  4  4  8  4  3  5  5  5  8  6  8  3  6  5  7  6
 [53641]  5  7  4  6  5  5  9  9  9  5  4  7  8  5  6  3  6  5  7  4  5  7  8  3
 [53665]  7  5  5  7  8  5  7  7  6  8  6 10  5  7  3  6  5  3  7  5  6  3  7  8
 [53689]  7  7  6  8  6  5  5  8  6  8  5  6  2  7  6  6  7  5  8  8  4  5  7  4
 [53713]  7  4  5  6  6  4  6  7  5  9  4  5  9  6  4  7  6 10  6  5  8  7  6  4
 [53737]  5  7  5  6  5  5  6  6  7  8  5  5  4  5  4  3  5  7  6  7  5  7  6  7
 [53761]  6  6  4  4  6  6  7  5  4  5  7  7  8  7  6  6  6  5  5  7  4  2  7  8
 [53785]  4  8  7  6  5  6  7  7  8  6  5  5  3  6  5  4  9  4  5  7  6  7  9  8
 [53809]  8  7  7  2  7  6  7  6  8  4  5  5  6  8  7  6  4  6  4  6  3  5  4  7
 [53833]  8  6  2  2  7  4  7  7  6  7  8  6  6  6  5  6  4  4  7  8  4  8  6  4
 [53857]  6  9  6  6  6  5  5  5  8  4  5  6  3  7  3  7  8  5  7  6  6  1  5  6
 [53881]  5  6  5  5  4  6  4  6  8  7  5  8  6  4  7  5  3  5  8  5  8  6  4  6
 [53905]  5  7  6  5  5  7  6  5  7  8  6  5  7  6  5  7  4  5  5  7  7  8  8  9
 [53929]  6  6  7  5  7  6  5  7  6  5  7  9  4  7  6  6  6  8  5  5  6  7  8  4
 [53953]  7  6  3  6  3  6  8  6  5  7  6  5  5  5  7  7  6  4  5  7  6  8  8  7
 [53977]  6  5  6  8  7  5  6  7  5  5  3  4  9  6  5  4  8  6  6  7  3  8  8  6
 [54001]  8  8  7  6  6  4  2  4  5  5  9  5  8  6  5  7  7  8  7  7  9  5  7  6
 [54025]  6  7  6  9  6  6  7  7  6  4  4  5  7  8  7  7  8  8  8  5  6  6  8  4
 [54049]  7  8  4  4  4  8  6  7  6  5  8  7  4  3  8  5  4  7  8  6  8  8  5  8
 [54073]  7  6  7  6  6  2  7  5  8  5  8  5  7  3  5  8  5  6  5  7  6  7  6  6
 [54097]  9  6  8  4  6  7  6  6  7  7  4  5  6  8  6  6  6  5  7  7  6  4  5  6
 [54121]  5  8  5  4  3  5  8  6  8  6  7  7  6  7  8  7  6  6  6  5  8  6  3  5
 [54145]  7  5  7  7  3  6  7  6  4  5  5  7  8  9  5  4  8  4  6  2  6  8  6  8
 [54169]  6  9  5  5  5  6  6  6  9  4  5  9  6  5  5  5  6  7  7  7  8  5  4  6
 [54193]  4  6  6  9  6  6  7  7  7  3  7  6  4  8  3  6  5  7  5  6  5  4  7  7
 [54217]  8  6  6  5  5  6  6  6  8  4  5  8  6  3  6  4  4  7  7  7  8  6  6  6
 [54241]  5  3  7  2  4  9  7  6  8  6  5  8  9  8  6  5  9  7  7  6  7  4  4  7
 [54265]  8  9  2  4  9  6  6  8  5  8  8  5  7  3  6  5  4  4  3  6  5  4  5  6
 [54289]  6  4  7  6  3  6  6  4  6  3  5  5  7  5  3  4  6  8 10  5  6  6  5  6
 [54313]  7  5  4  9  7  4  6  6  7  7  6  7  4  5  7  3  8  6  5  9  4  6  5  5
 [54337]  7  7  6  4  4  8  8  8  4  7  4  3  6  5  7  5  5  6  8  6  7  4  4  3
 [54361]  6  5  6  6  7  7  4  6  6  8  4  4  3  5  8  7  6  5  8  4  5  3  6  6
 [54385]  7  6  4  6  6  8  9  6  8  5  6  5  7  7  6  6  6  9  3  7  9  8  7  9
 [54409]  7  6  5  8  7  5  3  5  7  7  6  5  4  5  5  8  6  7  5  6  8  7  9  5
 [54433]  9  5  3  7  6  6  7  7  5  7  4  7  6  7  8  3  8  6  4  3  7  7  3  9
 [54457]  5  5  6  7  4  6  8  5  7  5  4  5  7  5  8  6  7  6  4  6  3  6  8  2
 [54481]  6  6  5  4  5  6  6  6  6  5  7  5  4  6  6  7  7  7  8  7  8  8  4  6
 [54505]  6  7  5  9  8  4  5  4  5  5  3  5  8  8  7  3  6  4  8  5  9  7  3  7
 [54529]  5  5  5  5  9  9  3  5  6  8  3  6  5  5  3  8  6  7  7  5  8  6  7  3
 [54553]  7  3  2  6  8  7  7  8  5  7  6  6  6  7  4  7  4  6  6  5  5  6  5  7
 [54577]  7  8  7  7  6  7  6  6  7  8  8  6  6  5  7  8  6  5  7  7  8  7  7  5
 [54601]  6  5  6  7  6  7  3  5  9  5  4  7  8  8  6  5  7  4  7  5  4  7  7  7
 [54625]  7  3  5  5  7  5  8  7  5  5  8  8  7  8  5  7  6  7  7  7  8  6  5  6
 [54649]  4  5  7  7  8  8  4  7  5  4  5  3  8  5  5  6  7  6  4  6  6  6  5  6
 [54673]  6  5  3  7  8  2  8  3  8  4  6  3  8  7  5  2  6  5  6  8  8  7  6  9
 [54697]  7  6  6  6  4  6  8  3  7  7  4  4  5  6  7  5  5  4  5  6  7  8  5  7
 [54721]  5  2  8  4  7  8  4  7  7  8  6  7  7  7  6  9  5  4  7  5  7  8  6  5
 [54745]  8  7  5  4  6  5  5  4  5  6  7  6  8  4  6  7  8  7  7  7  4  7  4  5
 [54769]  3  7  6  3  6  6  6  5  6  3  9  6  6  9  5  8  7  5  8  2  7  7  7  6
 [54793]  8  6  6  5  5  7  5  7  4  8  5  6  6  6  6  5  7  8  8  5  6  6  7  4
 [54817]  5  5  7  5  7  6  2  7  8  2  5  6  5  6  4  3  5  9  7  8  6  4  9  5
 [54841]  5  2  7  6  6  7  2  6  6  8  4  5  7  5  9  9  9  8  5  9  5  6  7  9
 [54865]  3  8  6  6  6  8  7  5  3  3  6  8  8  2  7  5  6  7  5  2  6  5  5  6
 [54889] 10  4  5  7  4  5  5  4  9  6  8  5  5  5  7  5  7  4  8  8  6  5  9  5
 [54913]  6  3  4  7  5 10  4  4  6  5  7  7  6  8  5  8  4  5  5  6  7  6  5  8
 [54937]  7  7  8  7  8  2  4  4  6  3  7  5  6  5  6  5  4  6  5  6  2  3  9  7
 [54961]  6  6  6  6  6  7  7  6  6  6  5  7  7  3  8  8  7  8  6  6  8  5  6  7
 [54985]  4  6  3  7  8  5  5  7  4  6  7  5  7  6  6  7  5  5  8  4  3  5  5  6
 [55009]  6  5  6  6  7  5  5  7  6  5  3  5  6  5  6  5  5  6  8  7  2  8  7  5
 [55033]  7  4  9  4  7  4  7  7  6  4  4  7  9  4  5  7  5  7  7  2  7  5  4  8
 [55057]  7  6  8  5  7  7  5  7  8  7  7  6  5  6  5  3  4  6  6  7  7  7  7  4
 [55081]  7  4  9  4  6  6  7  5  7  6  6  4  6  8  3  6  4  5  7  6  6  5  6  8
 [55105]  6  6  4  6  6  5  3  6  6  5  9  6  7  8  4  7  7  6  5  7  8  6  5  7
 [55129]  8  5  5  4  3  5  6  5  5  8  5  5  7  5  8  5  3  9  7  5  7  6  4  9
 [55153]  6  6  7  5  8  8  8  4  4  4  8  6  8  7  4  6  6  8  7  6  6  6  7  4
 [55177]  7  6  5  6  4  5  3  3  7  7  5  5  7  7  7  6  8  6  5  4  7  6  6  6
 [55201]  8  6  6  3  3  5  6  7  7  5  6  6  5  5  6  5  6  6  8  5  2  8  5  4
 [55225]  5  5  6  5  7  6  5  6  8  6  5  7  4  6  6  5  5  5  4  7  6  7  7  7
 [55249]  7  8  7  5  8  6  4  5  4  6  6  4  8  7  7  2  6  7  4  5  9  6  3  6
 [55273]  6  4  7  6  4  4  7  4  5  8  7  5  6  7  6  5  9  8  5  6  4  7  4  7
 [55297]  4  6  7  8  6  5  5  6  5  5  5  5  7  6  7  7  4  5  7  4  5  6  6  5
 [55321]  5  5  6  8  8  8  7  6  8  3  6  6  6  6  5  6  6  6  6  7  8  6  5  7
 [55345]  3  6  5  5  4  7  7  8  7  3  6  3  5  6  7  6  5  4  6  8  4  7  6  8
 [55369]  4  7  7  6  8  6  3  7  7  7  5  8  7  7  7  6  8  7  8  5  8  8  5  9
 [55393]  5  5  7  7  3  4  6  7  6  4  3  8  6  7  7  6  7  8  6  5  5  5  7  7
 [55417]  6  7  5  8  3  5  4  5  8  5  4  5  4  9  5  7  8  5  5  5  6  5  3  5
 [55441]  8  7  6  6  8  6  5 10  8  4  8  4  6  8  6  7  5  8  6  7  6  6  4  4
 [55465]  8  5  9  7  6  4  9  4  6  7  7  7  6  5  6  3  6  7  5  6  8  6  7  4
 [55489]  7  6  7  5  5  5  4  6  7  5  7  5  8  6  8  6  5  7  5  7  5  6  2  5
 [55513]  4  7  5  8  8  7  8  7  6  8  6  7  6  5  2  6  7  7  6  7  8  6  6  8
 [55537]  6  4  5  7  5  5  5  4  6  6  7  4  5  9  6  5  5  7  7  6  6  3  6  3
 [55561]  6  6  9  3  4  6  2  9  5  6  4  4  4  6  7  3  5  6  9  8  5  9  5  4
 [55585]  4  6  7  5  5  4  3  5  4  8  7  3  5  6  5  5  7  2  7  8  2  7  5  5
 [55609]  8  8  5  5  6  6  5  8  6  4  6  3  7  6  5  6  7  6  8  8  5  8  6  5
 [55633]  8  6  3  6  8  6  9  5  7  8  5  4  9  9  7  6  7  9  7  4  6  5  5  7
 [55657]  5  3  7  6  6  6  6  5  7  7  7  7  6  5  8  7  7  5  7  5  5  7  6  3
 [55681]  5  7  7  7  4  3  9  7  7  4  5  6  7  6  7  6  4  6  6  5  6  4  4  3
 [55705]  5  8  3  5  8  4  5 10  6  6  5  5  6  3  5  1  5  6  4  7  8  9  4  9
 [55729]  9  7  4  5  8  9  6  7  8  5  5  7  4  4  7  5  5  7  6  6  5  4  6  7
 [55753]  5  6  8  7  3  8  5  4  5  6  4  6  6  3  9  3  6  5  7  7  7  8  4  6
 [55777]  5  7  6  6  7  8  5  4  7  5  4  3  6  4  4  6  3  5  7  7  7  5  5  7
 [55801]  4  7  9  5  8  3  5  5  7  7  6  6  4  4  4  4  6  8  4  7  4  6  6  5
 [55825]  5  5  6  6  6  7  3  4  7  4  7  6  6  5  7  5  7  6  8  6  7  6  6  5
 [55849]  5  4  7  4  7  7  7  3  8  5  3  4  5  4  7  5  5  7  5  5  6  9  7  7
 [55873]  5  7  5  6  8  6  8  5  6  7  5  9  9  6  7  6  6  8  6  4  5  8  7  8
 [55897]  6  5  6  5  5  9  4  7  6  9  7  7  8  7  7  6  7  7  6  6  9  8  4  6
 [55921]  6  6  7  7  6  5  7  4  5  8  8  8  4  7  6  6  4  5  6  5  6  7  7  8
 [55945]  4  6  6  7  4  8  6  7  5  4  5  5  5  5  7  9  5  6  3  5  5  8  5  4
 [55969]  5  6  9  6  5  6  4  8  4  6  7  7  4  5  7  5  6  5  8  5  3  5  7  3
 [55993]  5  7  8  7  6  4  6  7  7  2  6  5  5  5  7  8  4  6  5  6  6  5  5  6
 [56017]  5  8  7  4  5  4  4  5  6  7  6  4  7  9  6  8  5  5  6  6  4  7  6  6
 [56041]  7  5  4  9  6  6  5  5  4  5  5  9  6  6  6  8  4  6  5  3  6  3  6  6
 [56065]  6  6  4  8  5  5  5  3  8  6  7  9  6  6  6  8  6  8  6  7  4  9  5  7
 [56089]  4  7  6  6  6  5  8  9  6  6  8  4  3  7 10  3  9  5  7  5  6  6  9  6
 [56113]  6  4  8  7  6  8  6  3  3  8  7  3  8  5  5  7  5  7  5  7  6  6  6  9
 [56137]  7  5  7  7  6  6  6  3  6  6  7  4  4  8  5  4  3  7  5  8  4  7  4  8
 [56161]  9  3  7  5  8  7  5  7  9  5  8  7  6  5  6  9  5  5  6  7  4  8 10  7
 [56185]  5  4  7  8  8  5  8  5  4  4  7  5  6  5  5  6  6  6  6  7  5  6  6  7
 [56209]  4  7  7  5  7  7  9  5  6  6  4  5  5  8  7  7  2  8  8  6  6  7  6  4
 [56233]  4  6  8  8  7  6  8  7  5  4  7  6  6  8  7  8  7  5  7  7  5  4  8  7
 [56257]  8  6  6  4  5  8  5  7  7  6  7  4  7  9  6  5  3  6  5  4  6  3  6  9
 [56281]  4  7  5  6  5  7  3  7  5  5  4  8  5  7  4  6  5  3  4  5  7  6  6  8
 [56305]  6  7  6  6  6  6  7  4  7  8  6 10  7  7  5  9  5  8  7  5  2  4  7  4
 [56329]  4  6  5  2  7  5  5  8  6  5  7 10  5  4  6  7  4  5  6  4  6  6  5  7
 [56353]  4  7  5  6  6  6  6  7  5  6  5  6  5  5  8  5  9  8  8  6  7  2  6  5
 [56377]  8  5  8  6  7  5  5  5  6  8  9  5  7  5  6  7  4  5  4  4  6  3  6  7
 [56401]  8  3  7  7  8  7  6  7  7  8  6  4  6 10  6  8  7  7  6  9  3  6  6  5
 [56425]  7  5  7  8  2  8  5  7  8  9  9  6  5  6  5  7  5  5  6  5  5  6  7  5
 [56449]  3  6  7  6  6  5  6  6  5  8  5  7  7  7  5  6  5  6  7  4  5  2  6  2
 [56473]  5  9  9  5  7  7  8  3  7  7  3  5  4  8  3  4  5  5  5  5  6  6  5  6
 [56497]  9  8  3  6  6  5  7  4  6  5  8  6  7  8  8  7  8  7  4  7  8  5  6  5
 [56521]  7  8  5  5  3  8  7  8  4  8  7  6  6  4  5  7  6  7  4  4  4  5  4  6
 [56545]  8  5  4  8  7  7  6  4  5  5  4  5  8  6  5  7  5  8  7  6  6  5  8  4
 [56569]  6  9 10  6  7  6  7  5  4  7  6  6  4  7  8  7  5  6  6  4  5  7  6  7
 [56593]  6  5  6  5  8  5  5  7  8  4  5  7  7  7  4  4  7  8  4  5  4  8  8  3
 [56617]  9  3  7  7  8  5  5  6  3  5  6  7  7  4  3  6  4  5  5  4  7  7  7  6
 [56641]  8  3  3  6  6  7  6  7  6  4  6  4  6  5  6  5  7  4  4  5  6  9  6  6
 [56665]  6  7  3  6  5  4  6  6  8  5  4  7  6  5  7  6  6  4  8  4  6  7  7  7
 [56689]  6  6  6  7  6  5  9  6  5  8  7  8  7  6  5  7  7  7  2  6  5  5  3  7
 [56713]  6  7  4  7  8  9  5  8  5  6  3  6  8  8  3  6  7  7  7  4  8  6  7  6
 [56737]  6  6  6  6  4  6  7  4  5  8  4  4  4  4  5  6  6  5  6  6  6  7  9  7
 [56761]  4  6  7  5  3  5  6  6  9  5  8  4  7  7  8  7  6  7  6  8  9  8  5  6
 [56785]  4  5  7  8  8  6  6  8  6  5  5  6 10  6  5  8  4  7  6  5  4  7  4  4
 [56809]  6  5  5  7  8  7  6  4  7  6  5  6  9  6  8  5  5  6  7  7  5  9  7  8
 [56833]  4  4  4  8  9  4  4  5  6  7  6  5  5  3  8  5  6  7  9  5  3  6  5  6
 [56857]  6  5  7  6  6  7  4  4  5  5  5  6  6  6  7  7  8  6  6  7  4  5  7  7
 [56881]  5  7  8  6  3  6  4  9  5  9  4  5  5  6  6  6  6  9  9  4  6  8  6  4
 [56905]  4  5  6  3  6  7  6  5  4  7  8  7  7  6  9  8  7  5  4  7  6  6  7  6
 [56929]  9  3  7  6  7  6  5  7  4  4  4  7  8  7  6  7  4  5  6  6  7  5  8  8
 [56953]  6  6  9  5  3  6  5  6  5  8  5  5  5  7  7  6  4  5  7  6  7 10  5  6
 [56977]  5  4  6  5  7  7  8  6  5  3  4  6  6  6  6  5  6  6  7  6  3  6  7  7
 [57001]  9  5  7  2  7  7  7  7  5  6  7  7  7  8  5  6  6  5  5  6  6  5  5  7
 [57025]  8  6  8  3  7  8  5  6 10  9  5  4  5  7  7  3  4  8  6  4  6  3  5  6
 [57049]  8  7  7  7  9  9  9  6  5  6  7  8  8  3  7  8  8  7  6  5  9  6  8  5
 [57073]  6  4  6  7  7  5  4  5  4  6  4  5  7  6  6  5  4  6  7  6  4 10  6  4
 [57097]  7  5  7  7  4  7  7  7  5  7  6  8  4  4  6  7  7  4  6  4  6  6  7  8
 [57121]  5  5  8  5  8  4  6  5  6  9  5  7  6  6  7  7  5  5  6  4  6  7  5  6
 [57145]  7  4  6  6  5  3  8  5  7  6  7  3  7  5  5  6  7  7  5  5  8  5  5  3
 [57169]  9  4  7  7  4  7  7  7  6  7  5  8  7  5  6  6  4  7  9  6  5  7  4  7
 [57193]  7  6  6  8  7  6  7  6  7  6  7  5  7  7  7  6  6  6  5  6  4  7  6  5
 [57217]  6  8  7  7  8  8  8  8  6  3  9  6  8  7  3  6  5  7  9  6  5  5  7  7
 [57241]  7  8  8  6  5  6  5  6  5  5  5  8  5  8  5  7  4  5  7  5  4  7  6  9
 [57265]  6  8  6  7  5  6  6  6  8  5  8  6  6  4  6  3  4  7  7  7  4  5  7  5
 [57289]  2  5  7  7  9  6  2  9  6  4  5  7  7  8  5  7  5  6  4  4  8  7  6  6
 [57313]  8  7  5  3  8  5  8  5  3  7  8  7  3  5  8  5  8  7  4  5  6  4  6  5
 [57337]  5  5  5  5  8  6  5  7  8  3  4  5  9  5  5  8  5  5  8  8  5  5  4  3
 [57361]  4  6  7  6  7  5  7  5  7  6  6  8  6  5  8  7  7  7  4  9  7  7  6  9
 [57385]  7  5  5  6  5  6  5  7 10  7  5  6  5  6  8  6  6  4  7  7  2  7  6  9
 [57409]  7  3  4  5  6  5  7  5  7  5  7  9  7  9  7  8  3  5  7  6  6  6 10  6
 [57433]  6  7  5  5  2  6  7  8  6  5  6  7  7  7  4  7  8  5  8  5  7  6  8  6
 [57457]  6  5  5  3  7  7  4  5  5  3  6  8  3  6  3  7  3  5  9  5  6  6  5  4
 [57481]  6  7  6  4  4  8  5  7  7  7  5  7  5  5  8  5  9  6  6  5  5  7  4  7
 [57505]  7  5  7  6  9  6  7  8  5  6  7  7  7  3  6  6  9  8  7  6  5  7  6  6
 [57529]  7  6  6  7  3  4  5  9  3  4  7  7  6  4  7  5  4  4  7  5  6  6  7  6
 [57553]  6  4  6  5  7  5  5  3  6  6  8  6  7  6  6  6  7  5  6  7  6  6  8  5
 [57577]  7  6  8  3  5  5  8  5  5  7  4  7  5  7  5  7  4  6  7  5  7  5  7  3
 [57601]  6  3  5  6  6  8  5  3  6  7  8  9  7  6  9  7  4  8  8  7  7  7  4  4
 [57625]  7  6  6  5  7  8  8  7  7  5  5  9  5  6  6  6  4  7  7  7  7  6  6  5
 [57649]  6  4  8  5  5  3  8  3  7  4  8  4  8  5  9  7  5  6  5  7  5  8  6  5
 [57673]  5  5  5  9  7  4  3  4  5  5  5  5  6  7  6  8  4  5  5  5  7  5  3  5
 [57697]  7  7  5  6  7  5  5  6  6  6  6  5  6  2  7  7  6  3  8  5  7  8  8  5
 [57721]  6  5  7  8  5  7  6  6  6  7  6  9  4  5  4  4  5  4  4  7  7  8  7  5
 [57745]  4  6  8  3  6  3  7  2  8  5  3  8  8  8  5  7  9  4  5  6  3  6  9  8
 [57769]  4  5  5  7  5  8  6  4  4  8  6  8  5  5  4  6  8  6  6  9  7  7  6  7
 [57793]  5  7  4  6  4  4  5  5  8  7  5  4  4  8  3  4  5  4  7  5  8  6  4  8
 [57817]  5  7  8  6  6  5  8  8  4  7  5  6  4  4  2  6  4  7  3  7  7  3  5  4
 [57841]  8  7  6  7  6  5  6  8  5  6  5  6  5  7  5  5  6  4  8  7  7  5  7  5
 [57865]  5  3  7  4  5  6  5  5  8  8  7  6  5  7  7  4  7  7  5  6  7  6  5  5
 [57889]  8  5  4  9  6  5  7  9  4  8  6  5  6  3  8  7  5  5  8  6  5  6  6  7
 [57913]  6  8  7  6 10  7  7  4  7  5  6  6  5  6  8  9  5  6  6  3  6  4  4  8
 [57937]  8  9  6  6  8  4  9  5  8  6 10  7  4  6  2  9  5  6  7  9  5  6  7  7
 [57961]  8  6  5  5  5  5  4  9  5  5  5  3  3  4  6  5  6  5  7  6  8  6  8  7
 [57985]  7  7  4  8  5  8  6  7  6  6  5  6  5  4  6  4  4  6  6  8  8  1  7  8
 [58009]  4  8  6  8  8  4  4  6  3  7  2  7  7  4  8  6  4  5  7  9  5  7  6  6
 [58033]  5  4  6  5  3  8  7  7  7  6  6  7  6  4  7  5  8  6  6  6  8  7  6  5
 [58057]  8  7  6  8 10  7  9  4  7  7  8  6  7  8  8  8  9  7  7  6  5  7  5  4
 [58081]  8  7  9  8  6  7  5  4  6  8  5  7  8  6  6  6  7  4  4  9  4  5  8  8
 [58105]  6  7  5  6  5  4  6  4  8  6  6  8  4  5  8  5  5  7  6  5  6  5  7  4
 [58129]  5  4  4  6  4  5  9  8  5  6  4  5  5  7  7  6  6  4  6  7  4  8  8  5
 [58153]  6  7  7  6  6  6  5  6  7  8  4  4  7  6  5  9  7  5  4  7  7  3  8  6
 [58177]  5  8  6  7  6  5  6  4  5  6  7  8  9  6  7  5  5  7  3  7  2  9  6  8
 [58201]  6  7  8  4  5  5  9  6  2  4  7  6  3  6  5  5  7  9  6  5  6  6  5  6
 [58225]  6  3  7  6  5  7  7  6  6  9  7  4  3  5  6  8  6  7  7  8  6  3  2  8
 [58249]  6  7  9  6  5  6  7  4  2  5  8  7  6  7  4  6  6  5  6  7  6  8  6  7
 [58273]  6  6  8  5  8  7  7  5  7  8  5  6  5  5  9  5  4  7  7  8  8  4  6  6
 [58297]  3  9  8  9  6  6  6  6  2  5  4  5  8  8  4  4  5  7  7  8  8  6  7  7
 [58321]  8  4  5  6  6  6  7  7  8  6  4  5  6  6  6  4  5  7  6  4  8  7  8  6
 [58345]  6  7  6  5  7  8  8  5  9  7  6  6  7  4  5  5  9  6  7  3  7  5  5  5
 [58369]  6  8  4  6  7  6  8  7  5  4  8  5  6  6  8  8  8  7  8  6  6  8  4  5
 [58393]  6  6  6  5  5  7  6  8  7  5  8  8  7  7  5  7  5  4  5  4  5  8  8  6
 [58417]  6  6  5  6  4  7  5  9  7  8  6  7  7  7  3  7  5  5  6  7  6  7  6  4
 [58441]  5  7  6  4  8  7  6  5  7  5  5  8  9  7  2  7  7  7  7  8  6  7  5  4
 [58465]  7  6  6  5  5  9  5  7  4  6  7  8  6  5  8  5  1  8  7  8  7  6  6  6
 [58489]  4  7  6  8  6  7  9  6  4  4  6  3  6  4  5  5  4  4  6  4  4  6  3  8
 [58513]  8  4  9  6  6  8  6  6  6  7  5  3  7  4  6  6  7  2  3  2  5  6  4  2
 [58537]  6  6  5  5  8  7  6  7  8  7  8  3  7  6  7  7  7  5  6  8  4  2  7  5
 [58561]  7  2  4  5  5  6  3  6  7  7  2  6  8  5  5  5  4  2  7  8  7  7  4  6
 [58585]  6  5  8  6  8  3  5  5  6  5  5  7  3  5  7  5  6  5  8  7  5  9  3  9
 [58609]  7  7  3  4  5  5  5  8  6  7  8  9  6  7  5  7  3  5  2  8  9  8  3  5
 [58633]  6  7  6  5  8  5  4  6  5  3  5  3  6  6  5  4  6  8  5  5  7  4  8  7
 [58657]  6  5  6  4  7  8  7  7 10  6  6  7  6  8  6  6  7  4  7  7  6  8  6  8
 [58681]  7  6  8  4  5  9  7  6  7  8  5  7  7  8  7  7  5  8  6  4  6  4  4  5
 [58705]  5  8  8  4  7  7  7  7  5  6  6  9  7  7  5  5  7  5  5  6  8  9  5  8
 [58729]  4  8  7  3  3  6  7  7  8  2  7  4  6  9  5  8  4  8  7  4  4  9  6  8
 [58753]  7  5  6  8  8  7  6  5  7  6  6  7  6  5  2  5  6  8  3  7  5  7  5  2
 [58777]  7  8  5  7  8  7 10  8  7  6  8  5  8  6  4  8  5  3  5  8  7  3  5  6
 [58801]  7  7  5  7  5  5  5  7  5  9  6  5  6  5  8  5  6  7  2  6  8  6  8 10
 [58825]  6  7  7  3  8  7  4  7  6  6  8  5  9  2  5  5  6  6  6  7  6  7  6  4
 [58849]  7  8  7  7  6  9  8  5  5  7  5  7  6  4  8  7  7  7  4  5  7  7  5  4
 [58873]  7  4  6  4  6  5  5  5  6  8  6  6  5  6  5  8  8  7  6  5  7  4  4  6
 [58897]  5  5  4  5  6  5  9  7  7  6  5  4  5  6  7  5  8  5  6 10  7  6  7  8
 [58921]  4  5  9  6  6  5  8  7  7  5  5  6  5  7  6  8  3  7  8  3  6  4  3  4
 [58945]  6  6  4  6  4  6  3  4  7  4  5  6  6  4  6  7  7  8  6  6  7  6  4  7
 [58969]  7  5  8  5  6  6  7  6  8  4  6  6  7  4  5  6  7  8  5  7  8  4  8  4
 [58993]  8  5  8  7  6  5  7  6  6  7  4  7  8  4  6  8  6  6  8  6  7 10  7  5
 [59017]  7  8  6  4  5  5  7  8  6  6  8  5  4  6  7  5  4  7  4  7  5  6  6  7
 [59041]  5  6  5  6  7  7  4  6  5  6  5  8  7  8  6  7  6  7  6  6  4  4  8  6
 [59065]  5  7  5  7  9  5  5  6  4  8  5  5  6  8  6  9  7  7  4  6  7  6  2  7
 [59089]  6  8  6  8  7  6  5  3  8  7  4  4  7  4  4  6  8  6  7  7  9  6  6  6
 [59113]  4  5  6  7  4  7  7  7  8  4  6  9  5  6  7  8  7  8  8  4  6  8  5  6
 [59137]  7  5  3  8  6  7  6  4  5  7  7  4  6  5  8  7  6  5  4  3  6  7  9  7
 [59161]  4  6  7  7  4  7  4  8  5  5  6  7  6  5  5  6  8  3  5  6  8  5  6  5
 [59185]  7  6  8  7  3  5  3  8  5  8  7  3  4  4  8  6  6  8  5  5  7  5  7  6
 [59209]  6  5  8  5  8  4  5  8  7  4  5  4  9  5  5  3  1  6  6  6  7  5  7  6
 [59233]  6  5  5  4  7  4  6  5  6  6  5  7  5  6  7  8  7  5  4  5  5  7  7  5
 [59257]  4  8  6  8  7  5  3  9  6  2  6  8  8  6  7 10  7  8  6  6  7  8  5  3
 [59281]  5  8  5  8  8  6  7  7  9  5  8  5  6  6  7  5  5  8  6  4  3  5  6  6
 [59305]  4  7  8  4  7  5  3  5  3  6  6  6  7  7  7  6  5  8  6  5  8  8  5  4
 [59329]  5  9  7  5  6  4  4  6  6  4  2  8  5  5  8  7  6  4  6  5  7  7  5  6
 [59353]  4  8  6  5  6  5  8  4  6  5  7  6  4  5  6  3  5  6  6  6  6  6  7  4
 [59377]  5  5  4  6  8  5  6  4  4  5  4  8  7  7  6  5  7  4  7  6  4  6  8  6
 [59401]  2  6  6  5  7  3  4  7  5  7  5  5  6  5  5  7  6  5  7  6  7  5  5  6
 [59425]  7  4  6  6  5  9  8  6  4  2  8  4  5  4  6  6  7  5  8  6  8  6  8  6
 [59449]  8  6  7  8  5  4  2  6  5  7  7  6  6  5  6  4  5  6  7  7  5  4  5  9
 [59473]  6  7  4  4  6  7  7  6  7  9  6  6  6  6  9  4  3  6  7  7  4  5  6 10
 [59497]  6  7  5  7  5  6  6  4  7  8  4  8  5  7  5  9  6  4  6  6  7  5  5  5
 [59521]  4  8  4  6  6  5  5  5  7  2  7  8  5  7  5  6  7  8  6  4  7  3  6  4
 [59545]  5  6  4  6  5  6  7  7  6  6  5  7  7  5  5  5  2  6  7  7  9  6  4  7
 [59569]  7  6  8  4  6  6  6  7  6  5  7  7  6  8  6  9  7  7  7  5  8  9  4  5
 [59593]  5  9  4 10  5  4  3  6  5  8  4  7  4  4  8  4  6  4  3  6  5  3  4  8
 [59617]  8  9  6  7  5  7  6  7  7  8  6  6  7  6  6  5  9  5  3  7  4  8  8  7
 [59641]  8  7  7  8  7  6  3  8  5  5  9  3  6  5  6  1  9  8  5  8  5  2  4  7
 [59665]  4  7  8  8  6  9  8  3  7  4  6  8  6  7  3  4  3  7  7  7  7  5  7  5
 [59689]  4  6  8  6  8  7  7  5  9  7  4  6  5  6  6  6  8  6  6  7  7  4  5  5
 [59713]  6  9  6  5  6  6  5  4  7  7  5  6  6  7  6  4  8  6  5  8  7  7  4  6
 [59737]  9  5  5  7  6  4  6  6  7  6  7  6  7  7  7  3  8  7  4  6  6  7  5  4
 [59761]  3  4  6  7  5  8  3  5  7  8  7  7  6  7  5  4  6  5  3  7  8  7  6  6
 [59785]  4  5  5  8  6  6  7  5  7  8  6  5  8  5  5  4  6  3  9  6  4  5  3  7
 [59809]  5  2  5  6  4  4  4  7  4  7  4  7  3  6  8  6  6  3  6  3  6  5  6  3
 [59833]  5  5  7  4  5  7  5  7  6  8  7  7  4  5  6  6  3  6  7  6  8  7  7  7
 [59857]  7  5  7  7  7  5  7  6  4  6  3  9  8  7  6  8  6  4  7  5  7  2  9  6
 [59881]  6  7  3  6  3  5  6  5  6  4  7  6  6  9  5  4  6  7  3  8  8  8  4  6
 [59905]  6  7  6  4  6  3  3  5  4  6  5  7  4  7  4  3  6  6  5  5  7  5  5  6
 [59929]  7  6  5  6  6  6  4  5  7  7  5  8  8  6  5  6  7  8  7  5  9  4  8  6
 [59953]  5  6  8  5  5  7  8  9  7  5  7  8  7  8  5  5  7  6  5  6  4  6  6  5
 [59977]  6  7  6  6  6  5  6  8  7  7  8  7  5  8  6  7  6  5  5  4  6  7  6  4
 [60001]  7  5  5  4  8  9  6  7  4  5  7  8  8  6  6  5  8  6  5  4  6  4  4  9
 [60025]  6  6  5  3  6  6  4  5  7  5  6  5  6  4  2  5  5  4  4  6  8  9  6  8
 [60049]  7  8  6  6  5  5  6  8  8  5  6  8  6  7  3  6  6  9  5  8  9  7  2  7
 [60073]  8  8  7  6  4  6  6  5  8  5  3  6  7  6 10  5  4  7  6  7  6  6  8  5
 [60097]  6  5  5  8  7 10  5  7  4  6  5  6  5  6  4  5  8  9  5  3  6  8  9  8
 [60121]  7  9  8  7  6  6  8  6  7  4  6  3  2  6  6  5  4  5  5  8  8  7  7  4
 [60145]  4  7  5  8  5  4  3  7  8  7  4  6  6  7  5  4  4  7  4  5  6  6  5  5
 [60169]  8  3  3  6  6  4  6  4  6  5  9  8  5  5  5  5  7  6  5  5  7  5  4  7
 [60193]  7  8  4  7  4  2  8  8  3  8  7  5  5  8  6  8  3  6  3  4  7  6  8  7
 [60217]  6  6  6  6  6  6  7  2  5  5  5  8  3  7  5  4  6  4  8  6  5  6  5  7
 [60241]  6  3  6  6  6  4  3  6  8  4  6  5  5  8  7  7  4  3  5  5  3  5  5  4
 [60265]  7  5  6  5  2  7  3  6  5  6  3  6  5  8  7  5  6  7  4  4  7  6  5  7
 [60289]  6  5  6  5  6  7  6  4  8  4  8  6  8  6  8  6  3  5  6  6  4  8  7  6
 [60313]  6  6  7  6  6  6  5  7  7  5  6  6  5  6  8  7  6  7  9  5  9  8  6  5
 [60337]  5  5  4  5  5  7  6  6  6  5  6  6  7  7  4  6  4  6  9  6  6  5  5  5
 [60361]  6  8  5  5  5  5  5  4  5  5  9  8  5  5  7  7  6  6  6  8  5  5  6  7
 [60385]  5  6  8  5  4  7  7  6  8  6  8  6  8  4  5  7  7  5  6  7  9  4  5  5
 [60409]  6  5  3  4  7  6  6  7  7  6  5  5  9  6  8  5  8  5  6  5  8  4  4  6
 [60433]  6  8  6  7  8  6  5  6  5  8  8  5  5  6  7  5  5  6  4  6  6  7  6  7
 [60457]  4  8  8  5  7  5  4  5  6  6  8  6  6  6  7  8  5  8  5  5  6  6  7  6
 [60481]  6  7  6  6  7  7  4  5  7  7  6  6  5  7  7  8  7  5  5  7  8  8  5  6
 [60505]  2  6  8  8  8  4  5  5  5  7  6  7  5  8  6  7  6  8  6  7  6  8  3  7
 [60529]  6  6  9  6  5  7  6  7  7  7  7  7  5  6  7  7  4  5  7  5 10  6  8  5
 [60553]  8  5  8  6  5  6  4  6  5  9  6  6  5  8  9  8  7  6  6  8  8  4  5  9
 [60577]  5  6  8  5  7  5  4  7  5  6  4  8  3  7  6  7  7  6  5  4  8  6  6  6
 [60601]  6  9  6  6  8  8  8  8  9  8  4  7  7  4  9  4  6  5  6  8  9  6  3  4
 [60625]  7  7  5  4  6  7  4  6  5  8  3  4  7  5  7  5  7  8  7  6  6  5  5  5
 [60649]  7  7  7  7  6  6  5  5  6  4  5  7  6  2  7  7  7  4  4  6  5  7  9  5
 [60673]  5  7  6  4  6  3  7  7  5  8 10  7  4  2  3  5  7  6  1  6  7  7  6  6
 [60697]  7  5  6  8  6  2  5  8  8  7  5  6  8  5  7  6  9  5  5  7  5  5  7  2
 [60721]  4  6  5  7  6  7  7  7  6  3  8  8  7  7  8  6  6  7  6  5  6  4  7  4
 [60745]  4  6  3  6  9  5  6  6  6  6  6  7  4  6  8  5  7  9  6  4  4  5  6  6
 [60769]  7  3  4  6  6  4  6  8  6  8  4  5  8  8  4  6  6  5  7  7  5  7  8  5
 [60793]  5  6  6  7  5  8  2  6  4  7  6  5  8  7  3  5  6  6  6  7  5  7  6  6
 [60817]  9  8  4  4  7  5  6  5  5  7  4  9  5  5  6  7  5  4  7  7  5  6  9  9
 [60841]  6  4  6  8  7  7  6  6  9  3  4  7  5  6  6  5  7  6  7  4  7  7  8  4
 [60865]  6  4  6  8  7  6  4  6  5  6  8  6  4  5  7  5  3  6  5  6  6  3  6  3
 [60889]  7  5  6  8  6  6  7  9  7  8  6  8  7  4  7  5  6  7  7  3  3  8  4  4
 [60913]  7  7  5  1  5  6  7  7  8  8  8  9  5  8  6  3  5  8  6  7  6  9  5  5
 [60937]  7  5  5  4  8  5  6  7  9  8  8  6  7  6  7  5  7  8  4  6  6  5  7  7
 [60961]  3  5  7  8  8  9  6  7  3  7 10  4  6  4  6  5  5  6  3  7  7  6  5  6
 [60985]  8  7  7  5  3  7  7  7  7  5  6  7  4  8  7  5  8  7  8  9  4  8  7  9
 [61009]  8  6  7  6 10  5  8  4  8  7  6  5  8  5  6  9  7  8  6  5  5  7  7  7
 [61033]  6  5  6  7  3  2  7  9  7  6  5  5  7  5  6  5  7  9  6  7  6  7  8  8
 [61057]  4  3  6  8  4  9  4  7  5  6  7  8  6  7  8  8  6  4  5  8  5  6  6  6
 [61081]  8  4  7  5  8  7  6  4  7  5  7  7  5  8  3  4  9  5  6  7  7  6  7  9
 [61105]  5  6  6  6  5  6  5  4  4  4  3  3  8  6  8  7  7  5  8 10  8  8  5  6
 [61129]  6  5  6  4  6  8  7  6  5  8  7  6  3  4  4  6  7  6  8  5  6  6  4  7
 [61153]  8  7  6  8  6  8  6  9  9  7  6  4  5  5  3  7  5  7  6  4  4  8  4  4
 [61177]  5  6  5  8  7  8  7  8  5  8  3  3  7  5  8  4  5  5  6  7  6  6  6  6
 [61201]  4  7  6  5  7  6  8  8  4  6  6  7  7  6  5  5  6  8  9  4  5  9  4  6
 [61225]  5  6  6  6  7  5  6  9  7  5  3  8  5  8  5  5  6  6  6  4  2  7  6  7
 [61249]  4  5  7  7  6  7  5  7  8  7  7  4  6  7  7  4  5  7  5  5  6  7  5  4
 [61273]  6  6  6  5  6  7  6  4  6  7  4  6  7  6  6  7  6  7  3  9  6  7  5  4
 [61297]  9  7  8  7  7  7  7  6  9  5  5  6  3  6  9  5  7  7  7  5  5  6  8  3
 [61321]  5  5  5  6  5  6  6  6  7  4  6  8  8  8  6  6  6  9  5  5  8  6  4  6
 [61345]  5  3  3  6  4  6  8  5  9  5  7  7  7  3  4  8  9  6  7  6  5  7  7  7
 [61369]  3  6  8  7  6  7  6  7  9  6  6  9  6  5  7  8  4  6  6  7  8  7  4  8
 [61393]  9  7  9  5  9  7  5  5  5  5  6  4  6  7  5  5  8  5  5  5  7  5  4  5
 [61417]  5  6  9  6  7  7  7  7  9  7  5  7  7  4  7  8  7  5  4  6  7  8  5  7
 [61441]  4  2  3  5  7  8  6  6  4  5  7  8  6  5  3  6  6  6  7  6  8  8  5  6
 [61465]  4  8  9  6  5  6  7  7  7  7  3  5  3  9  7  6  7  6  8  8  7  8  6  5
 [61489]  5  6  4  6  5  5  7  7  6  6  7  7  7  6  5  8  8  8  4  5  3  6  6  7
 [61513]  6  4  7  8  7  6  6  8  8  6  8  4  7  5  6  7  6  6  9  7  5  8  6  8
 [61537]  8  6  7  6  5  7  8  7  6  6  3  7  6  5  5  5  7  5  7  9  4  6  6  7
 [61561]  4  7  6  7  6  4  8  5  7  7  6  5  8  6  3  6  5  8  6  7  7  9  7  6
 [61585]  5  5  3  7  6  6  6  3  5  6  7  5  6  8  4  7 10  6  8  6  5  4  6  5
 [61609]  8  7  7  7  4  6  5  9  7  7  6  6  5  6  6  6  7  7  5  4  7  6  6  4
 [61633]  6  6  7  5  6  4  6  4  7  7  7  6  7  5  7  5  4  7  6  5  6  5  7  5
 [61657]  5  5  6  7  4  5  7  4  5  5  7  8  8  7  6  6  7  6  7  6  7  4  8  6
 [61681]  8  6  4  4  5  5  3  9  6  4  7  6  8  7  5  3  5  7  4  4  6  5  6  8
 [61705]  7  6  6  7  7  6  5  7  6  5  6  5  5  2  6  8  6  7  6  4  4  3  7  6
 [61729]  5  6  8  5  6  5  7  8  5  7  5  6  4  6  6  3  8  2  6  6  6  4  7  9
 [61753]  5  6  7  5  7  8  2  6  8  8  7  7  7  5  7  7  4  8  4  3  7  6  9  5
 [61777]  4  3  6  3  5  6  7  6  6  8  6  5  5  8  6  6  8  3  6  8  8  6  8  7
 [61801]  6  7  6  6  8  6  7  8  4  5  6  4  7  8  4  5  4  6  7  5  5  6  7  6
 [61825]  9  8  6  5  4  5  3  6  6  6  8  8  8  8  4  7  7  6  7  5  4  6  6  9
 [61849]  4  6  7  5  8  5  5  7  3  9  4  4  5  4  5  5  5  7  6  6  6  4  7  7
 [61873]  8  5  5  4  7  6  8  4  6  5  5  6  6  7  5  6  5  6  6  6  7  6  7  6
 [61897]  6  5  6  8  5  6  6  8  6  6  7  7  9  5  8  4  7  5  8  8  7  6  6  7
 [61921]  6  5  5  5  7  6  4  5  8  8  8  6  6  8  5  8  8  5  5  8  6  7  4  3
 [61945]  6  8  5  5  6  6  4  5  8  8  5  7  5  4  8  7  5  6  7  6  5  5  6  4
 [61969]  7  2  7  3  7  6  5  5  8  4  6  6  5  6  8  6  5  5  5  6  5  9  8  5
 [61993]  6  7  5  6  7  4  6  5  4  6  8  6  8  5  4  5  6  5  9  7  6  5  7  8
 [62017]  7  4  5  6  6  6  7  6  4  6  8  5  6  5  4  5  6  6  7  7  5  5  4  5
 [62041]  8  4  8  6  7  4  6  6  7  5  8  5  4  5  4  6  4  4  7  6  8  5  5  5
 [62065]  4  3  5  6  5  9  6  5  6  4  8  7  7  6  7  7  3  8  5  7  6  5  5  6
 [62089]  7  6  5  5  7  6  6  6  7  6  6  4  7  8  5  8  4  8  8  6  7  6  3  3
 [62113]  4  7  6  6  6  6  5  7  5  2  7  7  8  6  6  6  4  5  3  4  5  7  6  7
 [62137]  3  6  4  7  5  6  4  7  6  7  6  8  5  8  3  7  7  5  3  4  3  7  9  5
 [62161]  7  5  7  8  8  5  6  6  9  6  7  6  6  5  5  7  8  3  7  6  5  8  8  6
 [62185]  5  5  5  6  7  5  6  5  8  6  6  2  4  7  8  5  6  6  6  8  9  6  8  6
 [62209]  7  9  5  4  7  6  6  8  6  5  6  5  7  7  6  5  7  6  6  6  8  9  5  9
 [62233]  7  6  4  6  6  6  6  7  7  8  6  4  4  7  6  5  5  5  8  7  6  8  3  4
 [62257]  5  8  6  5  8  5  8  8  5  8  5  8  4  6  6  4  6  8  7  7  5  6  5  3
 [62281]  5  6  7  9  6  6  8  8  3  4  6  5  6  8  8  5  8  6  6  5  5  8  7  4
 [62305]  4  2  8  5  4  5  7  7  8  7  5  7  4  4  5  4  5  7  4  4  4  8  4  6
 [62329]  6  5  7  6  4  7  8  7  4  4  7  8  6  6  5  4  4  5  7  4  6  7  7  8
 [62353]  4  5  8  4  6  8  7  6  7  4  5  4  5  5  4  8  6  5  6  5  3  6  8  9
 [62377]  7  6  5  4  7  4  3  6  8  5  5  5  7  6  8  7  4  6  5  6  7  5  7  4
 [62401]  4  8  6  7  5  7  4  9  5  6  6  8  8  5  2  4  7  6  8  7  4  6  4  6
 [62425]  6  5  5  8  4  6  5  5  8  7  6  9  7  7  6  5  7  7  6  9  7  8  6  6
 [62449]  7  5  6  6  6  6  7  5  6  6  6  6  6  9  4  5  6  6  8  7  4  3  5  7
 [62473]  8  4  5  6  8  5  4  6  6  7  5  4  6  5  5  5  7  9  6  8  4  8  8  8
 [62497]  5  5  8  5  4  6  6  8  7  4  7  7  6  4  6  4  7  6  5  9  8  5  4  6
 [62521]  5  6  4  7  7  4  9  9  4  6  6  8  4  3  8  5  7  8  7  4  8  7  2  4
 [62545]  6  8  5  3  8  5  8  6  8  8  9  8  6  5  6  5  7  6  6  5  6  4  6  6
 [62569]  7  7  6  6  8  5  6  6  7  5  9  7  5  7  6  3  4  8  5  5  5  4  7  5
 [62593]  7  7  7  7  4  2  6  5  8  7  7  5  6  4  8  6  7  5  5  6  9  8  2  6
 [62617]  6  5  9  6  4  3  6  8  8  6  6  5  6  5  7  5  5  7  6  9  6  7  5  7
 [62641]  8  6  5  5  6  5  6  6  4  6  5  6  7  9  7  6  5  6  4  6  4  6  5  8
 [62665]  7  7  5  7  6  3  7  8  5  4  5  7  7  5  4 10  9  7  5  5  7  6  5  6
 [62689]  8  6  6  6  7  7  4  6  5  7  6  4  8  7  6  5  2  7  6  8  6  4  6  5
 [62713]  5  7  6  6  8  7  8  8  5  8  3  6  9  5  6  6  7  5  6  6  7  4  6 10
 [62737]  4  8  7  5  5  2  6  7  6  4  8  5  6  4  6  6  7  9  4  4  6  5  4  4
 [62761]  4  6  4  6  8  4  3  7  7  3  6  6  7  2  7  4  6  9  8  6  3  6  7  6
 [62785]  5  6  4  5  5  6  3  6  8  7  7  9  7  7  6  7  6  5  6  8  6  7  8  7
 [62809]  6  6  7  7  8  5  6  6  6  9  5  5  8  6  5  5  7  5  5  4  4  7  5  7
 [62833]  5  9  4  4  6  7  7  8  8  7  6  7  4  5  9  4  4  7  4  3  5  5  5  6
 [62857]  5  5  4  6  6  6  6  7  8  6  3  8  7  6  8  4  6  7  4  7  4  7  6  5
 [62881]  6  7  7  4  6  6  8  5  7  8  5  7  4  8  7  9  7  7  8  6  5  5  5  7
 [62905]  6  8  5  4  6  5  8  5  6  6  5  5  6  7  6  7  6  5  7  8  5  5  6  6
 [62929]  4  2  7  6  6  7  5  4  8  7  9  5  4  5  5  4  8  3  9  4  7  5  7  3
 [62953]  7  5  7  8  7  3  8  6  6  6  6  7  6  8  3  9  6  5  5  7 10  4  5  5
 [62977]  7  6  6  6  6  4  7  5  5  6  5  7  7  9  5  5  7  7  5  5  7  8  6  4
 [63001]  7  6  2  7  7  7  7  9  9  6  6  3  7  8  6  5  5  8  7  6  5  5  7  6
 [63025]  6  6  8  3  6  5  7  6  4  6  8  8  4  4  9  7  7  3  5  8  4  4  6  8
 [63049]  8  5  6  7  4  6  8  4  8  8  3  5  6  7  8  9  4  8  4  7  5  6  7  9
 [63073]  6  7  6  7  4  6  5  6  6  8  8  5  7  6  3  7  7  4  5  9  5  6  6  8
 [63097]  6  5  6  7  5  8  4  7  9  6  6  8  4  8  4  5 10  7  7  4  6  6  9  5
 [63121] 10  7 10  7  7  4  4  3  8  6  7  5  5  8  4  6  6  7  7  6  4  6  8  4
 [63145]  3  9  5  7  5  6  6  4  4  6  6  8  8  8  6  8  5  4  7  6  5  6  7  8
 [63169]  5  6  6  4  6  7  5  6  8  4  5  8  7  9  5  5  5  5  6  7  7  7  7  7
 [63193]  4  3  7  8  7  9  2  4  7  6  4  5  5  8  5  8  4  8  8  7  7  8  8  6
 [63217]  4  6  6  3  6  6  8  5  7  6  1  8  8  8  7  6  8  7  9  4  3  8  7  6
 [63241]  5  7  7  5  7  8  5  4  5  8  3  5  5  5  5  9  4  7  9  4  4  7  5  5
 [63265]  7  4  6  5  6  6  6  7  7  6  8  4  5  8  6  5  5  7  5  6  4  5  5  6
 [63289]  4  7  4  5  9  7  8  5  7  5  7  6  7  7  8  9  7  6  6  5  6  9  5  5
 [63313]  6  8  4  7  9  6  9  6  8  8  5  8  7  4  5  8  4  7  7  6  6  8  7  7
 [63337]  7  6  4  8  9  6  5  7  9  6  4  6  7  8  5  2  6  7  3  8  3  6  7  5
 [63361]  6  6  6  5  9  7  6  3  6  4  7  6  6  9  8  6  7  7  6  5  7  2  3  5
 [63385]  8  7  3  7  4  5  6  4  7  5  7  5  5  6  5  7  6  3  4  7  5  6  6  5
 [63409]  6  8  7  4  4  5 10  5  6  8  6  6  4  6  7  8  5  6  7  5  8  6  6  5
 [63433]  5  4  6  5  6  7  7  7  6  9  5  7  4  5  7  6  5  5  7  5  4  7  5  7
 [63457]  6  5  8  7  5 10  9  6  6  6  7  8  6  8  8  6  6  6  4  8  7  5  4  6
 [63481] 10  6  7  6  6  8  4  4  8  6  6  7  7  5  6  6  3  8  3  4  4  6  4  7
 [63505]  8  7  8  6  8  4  7  6  5  6  6  5  7  6  6  4  4  2  6  5  4  8  5  8
 [63529]  7  6  7  6  3  7  7  6  5  7  7  5  6  9  5  5  4  6  7  4  6  7  7  8
 [63553]  6  7  3  6  6  6  7  9  6  7  4  4  7  7  3  6  7  5  5  7  4  6  5  7
 [63577]  6  7  5  7  6  6  8  8  5  7  4  8  7  9  6  4  7  6  5  9  7  3  9  8
 [63601]  7  5  7  7  7  2  5  6  6  3  5  1  6  6  4  7  6  8  7  5  7  4  3  3
 [63625]  8  7  6  9  5  7  5  8  3  7  4  8  8  5  8  4  4  7  3  6  6  6  8  7
 [63649]  7  5  7  5  7  7  5  6  6  5  6  4  8  5  7  6  5  6  8  7  6  8  6  5
 [63673]  4  7  3  5  7  7  6  6  4  7  6  8  4  3  6  7  7  9  4  6  8  5  7  9
 [63697]  7  4  4  7  6  3  4  4  5  7  5  9  8  7  6  6  8  6  8  6  7  7  7  8
 [63721]  7  5  6  5  4  6  4  9  8  7  6  7  9  8  5  7  7  9  7  5  6  6  5  5
 [63745]  4  9  6  6  4  6  5  8  8  6  6  6  4  3  6  5  9  7  4  6  7  8  7  5
 [63769]  5  3  6  4  6  6  5  6  9  6  6  8  7  4  7  7  7  5  7  5  7 10  6  7
 [63793]  6  8  4  1  5  7  6  6  7  8  8  7  7  6  7  6  6  4  5  7  6  6  7  7
 [63817]  8  9  7  6  3  8  4  8  2  8  6  5  7  5  5  7  4  5  5  7  7  3  8  5
 [63841]  5  4  7  4  8  8  6  2  5  7  4  7  6  8  7  8  5  3  6  7  5  3  9  7
 [63865]  8  5  9  6  8  5  5  6  4  5  8  4  7  7  3  7  4  7  7  4  5  5  6  4
 [63889]  7  8  6  5  4  5  9  6  8  6  6  6 10  6  7  7  9  3  6 10  5  6  6  8
 [63913]  7  8  5  6  8  4  7  7  6  8  5  6  7  7  7  3  3  3  3  7  4  5  7  5
 [63937]  7  8  9  6  5  5  6  5  6  6  4  6  7  6  6  7  5  5  6  7  5  7  6  5
 [63961]  6  7  7  2  5  8  7  8  6  5  8  7  6  5  6  5  6  6  6  4  6  6  6  5
 [63985]  5  6  8  2  5  8  5  9  5  6  5  6  7  6  7  7  6  5  4  6  7  8  8  7
 [64009]  8  5  6  6  6  7  8  8  7  6  5  3  7  8  4  8  7  5  5  5  5  5  7  8
 [64033]  7  3  7  3  7  6  6  6  8  5  5  8  6  7  7  4  4  5  7  9  6  6  7  8
 [64057]  4  7  5  7  8  7  5  7  8  7  9  8  5  5  8  7  7  3  5  8  6  9  5  6
 [64081]  5  7  5  7  4  4  8  7  6  6  7  7  5  7  7  4  7  5  8  6  8  8  8  6
 [64105]  8  5  6  4  7  6  4  5  5  7  6  5  5  7  7  1  6  8  6  6  7  6  5  7
 [64129]  8  4  6  6  6  4  6  7  4  5  5  7  6  7  4  4  4  9  6  5  5  4  6  6
 [64153]  6  6  4  5  5  8  9  6  6  5  6  8  6  6  6  8  6  5  8  3  7  6  8  5
 [64177]  7  6  5  4  8  6  5  8  9  6  7  5  6  3  8  6  6  6  7  6  6  7  5  5
 [64201]  7  7  5  3  7  6  5  6  7  6  7  4  6  6  4  7  3  8  6  7  7 10  6  6
 [64225]  7  7  4  6  6  4  7  7  4  5  5 10  7  4  6  5  6  7  4  6  8  6  6  7
 [64249]  6  5  4  5  6  8  3  7  2  6  8  7  8  7  7  8  4  7  6  6  7  7  8  7
 [64273]  7  5  5  5 10  5  5  7  4  3  5  5  6  8  6  9  5  8  7  7  7  7  5  6
 [64297]  6  6  5  6  6  4  3  7  6  6  4  5  4  7  5  4  8  4  7  3  7  5  6  6
 [64321]  4  6  7  5  5  7  8  6  7  5  5  7  8  7  7  5  4  5  5  7  7  6  6  9
 [64345]  5  4  8  5  6  6  7  7  6  4  9  7  6  8  7  6  5  5  5  6  8  6  6  4
 [64369]  6  5  9  7  4  9  6  6  7  2  6  3  6  7  6  7  6  7  3  4  7  6  6  5
 [64393]  4  6  4  7  6  4  2  6  8  3  6  6  7  7  5  8  8  7  8  4  7  7  6  6
 [64417]  6  7  5  4  5  7  6  5  6  3  6  9  3  6  9  6  9  7  6  6  8  7  6  5
 [64441]  5  4  5  7  6  7  8  4  6  6  5  7  5  5  4  9  7  6  6  9  3  5  5  8
 [64465]  7  5  6  4  5 10  6  2  4  5  4  7  5  4  7  5  7  6  6  6  6  5  6  6
 [64489]  3  3  6  5  5  7  7  7  4  7  5  7  7  4 10  6  7  5  6  7  7  3  4  5
 [64513]  7  6  5  5  8  9  7  7  3  6  6  4  5  6  3  5  5  4  0  9  5  4  8  3
 [64537]  5  6  5  8  8 10  8  5  5  5  8  4  7  5  6  7  5  5  7  7  6  4  6  5
 [64561]  8  6  4  7  4  6  7  6  3  6  6  6  5  6  5  5  4  5  6  6  6  5  3  8
 [64585]  5  4  5  7  7  5  6  5  8 10  7  4  5  7  6  6  4  7  6  7  8  6  4  6
 [64609]  7  4  9  5  4  4  7  7  6  6  7  6  7  4  7  7  6  5  6  6  5  7  9  4
 [64633]  4  7  7  5  3  8  4  4  7  7  7  5  8  7  6  6  6  1  6  5  6  7  7  7
 [64657]  7  7  6  7  4  6  7  8  5  4  6  7  3  3  5  5  7  7  4  8  7  7  6  7
 [64681]  8  6  6  3  6  5  7  4  6  8  9  8  7  3  7  5  6  6  6  8  6  7  6  6
 [64705]  4  9  4  7  7  4  5  7  7  4  8  3  9  5  5  4  8  9  7  5  5  8  7  7
 [64729]  4  7  8  8  4  6  6  7  5  6  6  6  3  3  6  6  8  6  3  8  5  4  8  4
 [64753]  9  7  7  7  8  7  5  4  9  5  6  4  6  7  5  6  7  7  6  5  6  3  3  7
 [64777]  7  6  7  6  6  4  7  6  7  7  8  5  6  8  6  7  6  6  7  5  6  3  6  7
 [64801]  4  4  4  6  4  8  7  2  5  5  8  7  7  3  4  5  6  7  6  6  4  6  6  7
 [64825]  5  7  6  5  5  7  4  3  6  5  6  5  6  8  6  5  5  6  5  4  5  7  8  6
 [64849]  6  3  4  8  4  6  8  6  6  5  8  7  7  6  7  6  5  8  7  7  6  6  7  6
 [64873]  8  7  8  8  5  5  9  4  8  5  7  2  6  5  8  7  6  3  6  6  7  3  5  6
 [64897]  7  5  3  5  7  5  8  6  7  5  6  5  6  5  6  7  8  5  5  6  5  8  5  4
 [64921]  6  7  7  5  5  5  3  7  7  6  6  7  5  8  7  3  6  2  4  6  9  5  8  8
 [64945]  8  7  4  5  5  6  5  9  8  6  7  6  5  4  6  6  3  5  6  5  6  6  4  7
 [64969]  4  5  7  7  5  6  5  7  8  7  7  6  7  8  7  4  7  5  5  5  5  7  7  6
 [64993]  5  8  5  5  8  7  7  5  5  6  6  4  3  7  6  6  8  8  2  7  6  7  6  9
 [65017]  6  7  6  7  5  6  5  8  8  7  4  4  6  6  5  4  5  5  8  6  7  7  6  5
 [65041]  6  7  6  8  7  7  5  7  5  5  7  7  3  8  8  7  5  5  8  5  5  5  9  8
 [65065]  8  4  5  6  6  5  5  6  5  5  4  6  6  9  9  5  6  6  5  7  6  2  7  8
 [65089]  6  6  8  6  5  6  8  4  7  7  7  7  0  4  3  8  7  8  6  3  9  8  2  6
 [65113]  5  4  6  5  6  8  6  7  9  4  5  5  5  6  7  3  7  6  6  7  7  7  6  7
 [65137]  6  7  6  4  6  7  7  4  9  6  6  4  6  6  5  5  7  5  5  6  7  6  7  7
 [65161]  5  8  6  4  7  6  5  6  4  4  6  3  5  4  5  6  7  5  7  7  4  6  6  4
 [65185]  5  5  6  5  5  7  4  5  5  6  4  5  4  9  8  7  7  5  5  9  8  7  7  5
 [65209]  4  6  3  6  5  4  7  4  3  8  7  8  7  6  7  8  8  7  6  4  5  4  7  3
 [65233]  5  7  8  6  6  5  6  6  7  5  7  8  8  5  6  5  9  4  6  3  8  5  7  7
 [65257]  7  5  5  8  7  7  4  4  6  7  7  6  6  7  5  7  5  6  8  7  9  5  5  7
 [65281]  4  7  6  8  9  6  8  3  6  5  6  8  4  4  5  5  7  5  5  6  7  8  5  7
 [65305]  7  8  5  8  6  8  8  7  6  6  7  5  9  8  5  9  6  4  6  4  7  9  5  8
 [65329]  6  4  7  4  7 10  4  6  5  5  4  7  6  7  8  8  4  7  4  7  4  7  7  6
 [65353]  5  7  8  6  5  3  8  8  5  8  4  4  6  7  9  7  5  7  4  4  6  6  5  5
 [65377]  5  5  6  7  6  6  5  7  8  5  6  6  7  4  9  4  5  5  5  6  4  8  5  7
 [65401]  4  6  6  4  5  7  4  5  8  8  6  6  7  6  5  7  4  5  8  8  5  3  6  6
 [65425]  4  7  6  7  4  5  6  5  4  7  7  6  9  5  7  9  2  4  6  7  5  8  7  8
 [65449]  7  5  8  5  5  4  4  7  4  8  6  7  5  7  6  8  6  7  5  5  8  3  6  7
 [65473]  7  9  7  5  3  4  5  8  7  8  7  7  6  3  5  2  4  6  5  5  6  5  7  9
 [65497]  7  9  5  7  4  7  7  5  6  6  8  7  6  2  4  8  7  5  6  3  5  7  6  9
 [65521]  7  8  7  5  5  6  5  5  3  6  4  7  6  3  5  3  7  6  5  6  8  6  5  7
 [65545]  9  7  8  4  3  6  6  4  6  6  7  9  7  4  7  6  5  8  6  8  7  7  8  8
 [65569]  5  8  4  7  4  6  5  5  9  6  5  8  7  5  8  6  7  4  6  5  5  4  2  6
 [65593]  4  7  4  7  8  7  7  6  4  7  4  4  5  7  6  6  8  5  5  2  6  6  8  5
 [65617]  4  4  8  6  5  6  6  3  8  6  8  4  5  5  9  9  6  3  3  7  9  6  6  8
 [65641]  6  7  5  3  7  5  7  8  8  5  5  8  9  7  8  8  4  4  5  2  5  5  7  4
 [65665]  5  7  6  9  4  6  7  6  5  7  7  5  8  8  7  5  4  5  6  6  8  6  8  7
 [65689]  5 10  8  6  8  3  7  5  7  8  5  6  7  5  6  8  8  5  6  5  5  8  7  5
 [65713]  2  6  4  6  8  5  6  5  3  6  5  7  5  7  6  7  8  7  7  9  6  8  5  5
 [65737]  9  3  8  7  3  7  6  6  9  6  6  5  4 10  5  6  4  9  7  7  1  6  7  6
 [65761]  4  6  3  6  6  4  6  5  7  8  7  7  7  8  6  6  7  6 10  9  9  8 10  7
 [65785]  6  4  3  2  3  8  6  7  9  5  4  5  4  5  6  6  5  4  6  3  6  5  8  3
 [65809]  7  6  5  6  6  7  5  4  8  4  7  6  8  6  4  7  3  4  6  5  7  7  8  4
 [65833]  5  5  3  6  7  7  5  3  6  5  9  6  5  9  6  6  6  6 10  5  7  5  6  5
 [65857]  4  6  8  3  8  6  6  6  4  5  8  7  5  7  7  7  5  8  7  4  7  5  6  5
 [65881] 10  6  8  4  5  8  9  2  3  7  5  3  5  6  6  6  5  8  4  6  6  6  7  7
 [65905]  8  6  7  8  6  9  7  5  4  6  4  7  3  6  6  8  7  7  5  7  5  7  5  8
 [65929]  6  7  5  5  4  6  6  5  9  4  7  6  6  6  6  5  4  5  6  7  7  7 10  7
 [65953]  3  6  5  3  5  5  6  4  5  6  6  4  6  5  5  5  7  7  5  6  6  5  7  7
 [65977]  7  6  5  7  6  7  6  7  5  9  6  6  8  5  6  6  6  8  4  6  6  7  6  8
 [66001]  4  8  6  7  8  9  9  5  6  3  3  6  9  6  8  1  7  9  5  3  8  6  7  6
 [66025]  6  5  8  7  5  6  4  6  4  5  7  6  6  7  5  7  5  5  4  5  8  5  4  5
 [66049]  5  7  6  7  5  4  6  5  6  8  6  6  7  5  5  6  6  2  7  3 10  6  6  8
 [66073]  6  2  4  5  8  7  6  4  4  5  5  7  6  5  5  4  5  5  3  6  6  4  5  7
 [66097]  8  7  6  6  9  9  4  2  6  5  5  6  5  4  7  6  2  6  5  5  5  3  6  7
 [66121]  4  5  6  6  5  7  7  4  6  7  7  8  6  3  5  7 10  5  8  8  5  6  8  7
 [66145]  5  5  9  3  9  4  7  6  7  7  6  5  6  7  6  7  6  4  5  6  5  6  6  4
 [66169]  7  7  5  7  4  8  7  5  6  6  6  5  5  6  6  7  5  6  4  5  9  4  7  5
 [66193]  5  3  8  9  7  5  5  8  7  6  5  5  7  6  6  7  6  5  9  7  7  5  6  7
 [66217]  6  7  5  4  5  5  7  8  6  6  7  7  6 10  5  6  3  7  8  7  7  5  9  8
 [66241]  5  3  6  6  8  8  3  4  6  7  5  6  5  5  7  7  6  8  4  4  5  6  7  8
 [66265]  4  7  7  7  4  4  8  2  6  9  5  4  6  5  6  7  8  7  6  6  6  6  8  6
 [66289]  7  8  3  7  9  5  9  5  4  6  7  6  4  8  1  7  6  8  8  7  5  8  4  5
 [66313]  6  8  5  6  5  4  8  9  6  7  6  4  6  6  4  6  3  7  9  6  7  7  6  3
 [66337]  6  6  5  7  6  2  7  6  7  4  7  4  4  7  5  7  2  5  7  7  6  6  2  6
 [66361]  6  4  4  9  6  9  7  8  5  6  5  6  7  8  6  4  7  6  5  8  4  7  6  8
 [66385]  8  6  6  8  5  5  7  6  5  5  6  6  4  7  9  7  7  5  3  9  7  5  7  7
 [66409]  6  5  6  6  6  7  7  6  8  8  6  4  9  7  5  5  6  7  7  5  6  8  4  5
 [66433]  7  5  2  8  5  7  7  7  6  4  6  6  4  9  7  6  5  5  3  5  8  5  7  9
 [66457]  9  7  5  7  6  5  5  7  7  5  7  6  8  6  5  7  6  7  9  8  6  7  5  7
 [66481]  4  4  4  6  4  5  6  6  6  5  5  5  5  6  6  6  7  9  7  5  6  4  9  8
 [66505]  8  4  6  6  7  8  6  8  7  4  5  6  6  7  7  7  4  8  4  9  7  6  6  4
 [66529]  7  6  7  5  5  7  8  5  5  8  4  5  7  7  5  6  3  7  8  5  8  6  6  9
 [66553]  5 10  7  3  5  3  8  7  3  8  5  5  8  7  6  6  6  8  4  7  6  6  5  6
 [66577]  6  4  5  7  7  6  2  2  6  5  8  7  5  4  7  5  8  8  5  8  6  6  7  6
 [66601]  5  6  7  8  5  5  3  4  6  7  5  6  8  8  7  2  5  8  6  5  7  5  6  8
 [66625]  4  5  6  6  7  7  6  6  6  4  5  5  9  5  6  5  6  8  7  2  6  5  6  6
 [66649]  5  7  6  6  5  7  7  4  6  9  3  6  4  8  5  9  5  5  3  7  5  7  5  7
 [66673]  8  7  6  7  7  6  6  5  8  7  5  6  8  6  5  9  7  7  4  5  9  6  5  6
 [66697]  5  5  5  6  7  5  9  6  7  7  7  6  6  5  9  6  5  4  6  6  5  9  7  5
 [66721]  7  6  6  7  7  7  6  5  6  3  5  9  6  5  6  8  8  4  8  5  5  4  5  7
 [66745]  6  5  8  7  4  5  3  6  2  7  6  3  8  7  9  4  8  8  7  7  6  6  7  8
 [66769]  8  5  8  7  7  6  5  5  8  8  6  2  7  7  8  6  6  5  4  7  6  7  7  6
 [66793]  7  5  5  6  4  4  5  7  5  6  9  5  4  8  5  7  4  4  5  6  7  7  5  5
 [66817]  7  8  7  7  7  6  5  9  7  8  6  6  4  5  6  5  5  7  9  9  4  5  6  6
 [66841]  7  4  9  5  3  5  4  9  5  8  4  9  7  7  5  7  8  8  7  7  7  6  6  3
 [66865]  6  5  5  3  7  4  7  8  6  5  6  4  7  5  5  6  7  7  4  7  7  6  9  7
 [66889]  4  5  7  4  5  6  5  7  8  5  7  6  7  4  6  5  7  6  7  7  4  7  4  7
 [66913]  7  7  4  5  4  8  2  6  5  5  5  4  8  3  5  8 10  7  6  4  8  3  6  5
 [66937]  5  7  5  8  6  4  6  6  5  6  5  7  3  6  5  8  2  6  5  7  6  5  4  5
 [66961]  5  6  3  6  4  7  5  6  6  5  7  5  7  7  7  4  5  7  6  5  7  4  8  5
 [66985]  9  6  6  4  8  4  7  6  9  8  4  6  6  6  7  4 10  6  7  5  5  9  7  3
 [67009]  5  5  4  7  7  4  7  7  5  6  6  7  7  7  7  5  5  5  7  6  6  9  4  6
 [67033]  7  7  6  7  6  6  5  9  3  5  5  7  6  5  6  7  6  7  6  4  6  3  7  7
 [67057]  6  5  6  7  5  6  4  4  3  8  6  6  4  4  4  7  7  9  8  7  9  6  6  6
 [67081]  8  7  4  7  4  5  6  5  8  7  5  6  6  7  5  7  7  8  4  5  5  3  6  7
 [67105]  4  4  9  8  7  7  4  5  7  7  8  6  8  5  8  8  9  9  4  4  6  7  3  8
 [67129]  6  8  5  8  6  4  6  6  4  4  3  6  6  6  6  5  8  5  6  9  8  6  7  4
 [67153]  7  6  4  8  7  5  6  6  7  9  8  6  8  3  9  6  5  7  6  8  6  8  6  5
 [67177]  7  7  4  6  7  5  5  5  6  7  9  6  4  7  7  4  6  7  4  4  6  4  7  7
 [67201]  5  6  9  4  7  8  4  9  8  6  7  6  5  5  5  8  4  8  5  8  6  7  7  7
 [67225]  4  7  7  6  8  9  7  6  9  7  5  7  5  4  5  7  5  4  6  7  6  7  4  8
 [67249]  7  6  4  7  5  4  7  8  8  4  9  6 10  6  5  7  6  7  8  6  5  3  3  4
 [67273]  4  3  6  8  5  9  4  7  5  5  7  5  4  7  9  6  3  6  5  5  7  5  4  7
 [67297]  6  5  5  5  7  5  5  7  8  7  6  9  5  8  8  8  5  3  6  5  6  4  6  5
 [67321]  7  6  6  7  7  5  7  7  5  2  7  6  7  5  7  7  6  5  9  8  5  5  5  4
 [67345]  4  7  6  6  9  3  8  6  6  8  9  9  3  3  9  8  7  5  5  5  5  6  5  7
 [67369]  4  4  5  5  6  6  4  6  7  7  7  8  9  6  5  5  3  4  6  5  6  5  6  7
 [67393]  6  6  7  7  5  7  7  4  7  5  7  6  3  7  6  6  3  9  5  6  4  6  4  6
 [67417]  7  7  5  6  7  7  8  4  4  5  7  7  6  9  7  6  6  6  4  7  3  7  5  5
 [67441]  6  5  9  6  6  8  6  9  7  3  7  4 10  6  7  7  6  5  8  7  5  5  6  6
 [67465]  8  8  4  4  4  6  5  6  8  7  5  7  8  4  2  7  5  6  6  5  4  5  5  6
 [67489]  6  6  6  6  8  5  7  6  5  6  6  7  3  3  3  4  6  6  6  5  7  9  3  6
 [67513]  8  7  8  4  7  7  7  8  6  6  7  7  7  6  5  6  7  7  3  9  5  7  5  7
 [67537]  6  6  6  4  9  7  9  1  8  5  8  5  6  7  9  8  7  6  5  7  6  8  5  6
 [67561]  3  7  6  8  7  7  4  9  7  5  9  6  8  6  7  7  6  6  7  6  8  6  4  5
 [67585]  6  6  5  3  8  5  5  4  6  5  5  6  6  4  5  7  7  3  7  7  6  6  4  6
 [67609]  6  4  5  6  3  7  7  6  6  4  4  7  4  7  6  4  8  5  7  6  7  7  8  9
 [67633]  7  5  5  9  6  6  6  3  7  5  7  5  4  5  6  7  6  5  8  4  6  7  5  5
 [67657]  8  3  8  8  7  3  6  8  8  6  6  4  4  4  8  6  9  7  4  6  7  7  3  5
 [67681]  7  5  7  7  7  8  7  7  6  4  7  7  4  8  6  8  3  6  7  5  4  5  6  7
 [67705]  5  8  6  6  5  3  6  5  4  3  8  4  5  6  2  6  6  5  4  2  6  5  6  5
 [67729]  6  8  8  3  5  4  5  3  3  7  7  6  7 10  7  7  4  7  7  6  8  5  6  6
 [67753]  3  6  5  6  3  7  5  4  6  7  5  6  5  6  4  8  6  5  6  4  7  5  9  7
 [67777]  4  7  7  6  7  4  8  6  5  3  6  7  5  5  6  5  5  5  6  9  8  7  5  7
 [67801]  7  4  7  7  5  7  8  7  7  2  7  7  7  4  4  6  6  6  7  7  6  7  7  7
 [67825] 10  4  6  5  6  6  7  7  8 10  6  7  8  9  7  6  6  3  4  4  4  5  5  6
 [67849]  4  8  2  7  6  6  7  5  8  5  6  7  7  4  7  4  5  8  6  6  9  4  6  8
 [67873]  2  7  9  8  4  3  6  5  9  4  6  6  5  6  8  5  6  6  6  6  5  8  7  6
 [67897]  6  5  7  5  4  9  5  5  7  8  6  7  6  6  7  5  4  8  8  6  6  7  3  4
 [67921]  8  3  5  8  3  9  6  8  8  3  7  6  7  8  8  6  4  8  6  6  5  5  5  6
 [67945]  7  4  7  7  5  7  5  8  4  2  7  7  5  8  8  6  5  6  7  3  6  8  5  8
 [67969]  7  9  7  7  5  8  2  9  8  6  7  6  7  7  4  4  5  6  6  8  7  8  9  5
 [67993]  5  9  7  5  7  7  7  5  4  9  5  6  5  7  7  4  5  1  5  8  5  8  7  6
 [68017]  2  3  5  5  3  7  7  5  6  9  5  5  7  6  8  5  7  6  6  8  7  6  7  8
 [68041]  4  7  5  5  6  4  6  7  6  5  7  4  7  6  5  7  5  8  7  4  6  8  5  4
 [68065]  4  7  5  9  7  7  5  6  7  6  5  6  5  6  4  5  4  7  4  4  7  6  5  7
 [68089]  4  5  6  7  6  9  7  8  8  6  5  6  8  4  6  6  6  5  8  4  5  7  8  6
 [68113]  6 10  6  6  5  6  4  5  8  9  4  7  7  7  7  8  4  5  8  5  6  4  8  6
 [68137]  6  4  3  6  7  9  5  5  7  4  8  6  6  5  7  5  4  6  7  5  5  5  7  8
 [68161]  8  6  8  6  6  4  4  4  6  7  7  7  8  5  6  4  5  9  6  7  6  4  7  4
 [68185]  6  7  5  7  4  9  7  7  7  7  6  5  8  5  7  8  8  6  7  8  8  6  7  7
 [68209]  3  8  6  6  8  6  4  7  7  7  7  7  5  5  5  8  8  6  8  7  7  6  7  7
 [68233]  8  6  4  8  5  8  8  8  3  4  5  9  5  3  6  7  4  7  5  4  6  6  7  4
 [68257]  8  5  1  4  9  5  5  4  7  7  3  7  5  6  4  6  5  5 10  6  8  8  5  6
 [68281]  8  9  7  9  6 10  9  7  5  3  6  6  5  6  8  4  7  7  7  8  3  7  5  6
 [68305]  5  6  6  4  5  4  6  5  6  5  6  7  2  8  6  5  7  3  4  7  8  6  7  4
 [68329]  7  4  6  6  6  4  6  6  7  5  5  4  5  7  8  3  8  7  8  9  6  7  6  4
 [68353]  8  5  7  7  6  6  6 10  3  9  7  5  5  2  7  8  4  7  5  6  5  6  4  5
 [68377]  6  8  6  7  7  4  7  5  7  6  7  7  5  5  9  5  5  8  9  7  3  6  5  5
 [68401]  5  5  7  7  7  6  6  5  7  7  8  7  6  7  4  4  7  6  8  6  5  6  7  5
 [68425]  6  4  5  6  5  5  6  5  8  7  7  5  9  8  8  6  7  9  4  7  5  8  3  6
 [68449]  5  6  9  7  7  8  3  4  6  6  6  5  6  5  6  4  8  5  5  7  6  6  4  8
 [68473]  7  9  3  7  6  5  7  8  6  7  3  4  6  5  7  6  7  8  6  8  6  7  4  7
 [68497]  7  7  6  7  7  6  1  7  6  6  8  6  9  5  4  4  4  6  7  7  5  8  6  9
 [68521]  7  5  7  3  5  5  8  5  8  6  6  4  7  8  3  4  6  5  5  7  3  7  4  9
 [68545]  7  5  8  5  7  7  4  5  9  7  4  8  5  4  6  6  6  8  9  6  7  5  3  5
 [68569]  6  5  8  7  7  7  7  5  5  7  5  7  7  8  8  7  4  7  7  4  5  6  5  7
 [68593]  7  8  7  8  6  5  7  8  7  7  6  8  3  6  4  9  6  4  6  3  4  5  5  5
 [68617]  8  6  7  5  5  6  3  9  6  6  5  6  6  7  5  6  7  5  4  3  6  6  8  5
 [68641]  5  8  7  5  7  3  8 10  8  7  5  5  5  8  7  9  5  3  5  1  7  7  5  6
 [68665]  4  7  8  7  4  8  5  9  6  7  5  5  8  6  8  8  4  6  4  8  8  6  6  6
 [68689]  5  5  7  7  8  5  6  5  8  5  4  6  9  2  5  7  7  7  7  5  4  8  3  8
 [68713]  4  6  6  4  4  6  5  8  7  6  7  7  7  6  4  6  7  7  7  8  4  6  5  7
 [68737]  5  5  6  6  7  8  6  6  7  6  7  4  6  4  6  6  5  8  4  6  7  9  4  5
 [68761]  6  9  5  6  7  5  6  5  6  6  7  7  4  6  5  6  7  5  8  6  6  2  3  3
 [68785]  4  9  6  7  7  5  5  5  6  6  4  6  5  5  7  6  8  6  7  6  8  7  5  8
 [68809]  9  6  7  4  6  4  6  9  8  7  5  8  5  5  6  7  5  8  6  7  5  8  5  4
 [68833]  9  6  7  8  7  7  8  7  7  7  9  7  5  6  6  5  8  7  6  7  6  6  6  4
 [68857]  3  7  6  7  6  5  5  6  6  5  5  7  5  6  7  6  8  5  7  7  6  6  6  2
 [68881]  5  7  4  6  3  4  6  9  5  7  5  6  7  7  4  6  8  3  5  7  3  5  6  5
 [68905]  3  9  7  6  8  7  5  4  4  3  6  6  6  5  5  7  2  4  6  3  8  3 10  8
 [68929]  7  9  6  5  5  6  6  9  7  3  3  5  6  2  6  5  6  3  6  5  5  9  3  2
 [68953]  6  5  7  5  4  6  6  5  7  7  5  8  7  6  6  9  6  7  5  4  6  7  7  5
 [68977]  7  7  7  6  7  9  6  6  4  6  4  2  5  7  6  5  6  5  4  6  8  6  6  5
 [69001]  8  7  4  8  7  4  5  4  9  5  5  5  4  7  7  6  6  7  5  6  8  4  6  6
 [69025]  4  5  5  6  4  7  6  7  4  2  5  8  4  6  4  6  5  7  8  5  8  7  9  3
 [69049]  6  5  7  7  3  5  8  6  5  5  9  6  6  5  6  8  5  8  5  3  7  7  3  7
 [69073]  8  8  5  4  9  9  8  3  5  6  7  5  6  6  7  5  6  4  9  7  8  8  6  4
 [69097]  8  6  5  8  5  6  4  6  8  5  8  4  6  7  2  4  7  6  6  4  5  8  7  9
 [69121]  7  3  3  5  7  4  4  8  7  6  5  4  5  6  5  7  6  5  5  5  5  5  8  4
 [69145]  2  7  8  9  6  7  5  6  5  7  6  5  6  8  5  8  7  8  9  7  7  4  5  7
 [69169]  6  6  3  6  6  4  4  4  8  4  7  6  5  6  8  4  6  5  7  7  7  7  7  7
 [69193]  7  7  9  4  9  5  7  4  5  7  5  9  8  6  5  6  6  5  7  5  6  7  5  3
 [69217]  7  5  6  5  5  5  5  7  3  8  5  6  5  5  8  8  6  4  6  4  7  7  6  8
 [69241]  7  5  5  3  7  4  4  6  7  7  5  8  8  6  3  5  5  5  4  6  8  5  8  5
 [69265]  5  7  4  3  8  6  4  4  6  6  3  6  7  5  6  7  4  5  3  9  5  7  5  7
 [69289]  8  7  5  8  6  7  5  6  7  5  7  8  7  7  7  5  6  8  9  5  8  7  6  6
 [69313]  7  6  7  7  5  4  7  5  6  7  5  5  7  5  7  7  5  9  7  3  7  8  5  7
 [69337]  6  8  3  6  5  8  7  5  7  7  5  5  4  6  6  6  8  4  8  4  6  6  6  7
 [69361]  5  7  7  3  3  6  7  7  7  6  8  5  7  6  5  9  7  4  8  5  4  3  6  5
 [69385]  5  7  7  6  3  6  5  5  6  6  8  8  4  6  9  5  8  9  6  6  6  7  6  6
 [69409]  6  4  2  8  5  7  6  5  6  7  3  7  8  4  8  7  5  3  7  6  6  6  5  7
 [69433]  7  5  8  5  6  5  2  7  9  6  3  7  6  5  8  6  4  5  7  5  9  9  6  6
 [69457]  5  6  7  4  3  4  7  3  6  9  4  6  7  5  5  5  8  5  7  5  8  7  4  5
 [69481]  5  8  5  8  6  7  6  5  7  6  7  6  6  4  8  5  5  5  6  5  7  7  4  7
 [69505]  4  4  6  7  7  2  8  6  8  5  9  7  7  2  9  5  5  5  8  4  5  6  7  5
 [69529]  7  9  6  5  5  7  6  3  6  4  5  6  5  6  4  7  6  6  8  5  8  6  8  7
 [69553]  8  5  5  5  8  4  9  5  6  8  6  4  5  8  5  5  6  6  6  7  6  7  5  5
 [69577]  5  6  7  8  6  7  8  6  5  7  6  8  5  8  6  6  3  6  4  6  8  6  3  9
 [69601]  8  3 10  8  8  6  3  7  3  9  7  4  7  8  9  6  6  7  4  7  5  8  7  7
 [69625]  7  7  8  5  8  6  8  7  5  6  7  7  5  7  5  7  8  7  7  4  3  4  9  2
 [69649]  6  5  4  5  4  6  5  8  6  4  8  7  5  5  5  8  6  7  5  9  5  5  5  6
 [69673]  4  7  6  9  8  6  3  4  7  5  6  7  8  5  6  5  6  8  5  7  5  4  5  3
 [69697]  5  7  9  8  7  4  9  6  9  9  6  5  7  5  6  7  7  6  9  5  8  7  7  5
 [69721]  7  4  4  7  6  5  6  8  5  7  6  5  5  8  8  6  2  5  5  7  5  6  8  5
 [69745]  9  7  5  4  7  5  6  7  5  6  3  6  7  2  6  5  6  5  6  7  4  5  4  9
 [69769]  5  6  6  4  6  2  6  9  6  6  6  6  2  7  3  7  5  6  4  7  6  9  7  9
 [69793]  6  7  7  4  8  6  5  4  8  9  9  6  7  7  4  5  8  7  5  7  8  5  6  7
 [69817]  2  3  5  5  6  6  5  4  4  5  4  6  5  3  7  7  3  4  8  4  8  7  6  6
 [69841]  5  6  7  5  7  7  6  6  7  6  3  5  7  7  8  6 10  8  3  4  4  6  5  6
 [69865]  5  6  5  6  8  4  5  7  2  6  7  6  4  8  3  6  7  5  5  8  8  5  4  3
 [69889]  6  7  8  6  5  8  6  6  4  5  2  8  4  7  6  5  9  7  6  7  4  7  7  6
 [69913]  5  3  7  6  5  7  8  6  5  6  6  6  3  4  3  6  6  7  7  7  7  8  6  6
 [69937]  8  6  7  5  4  4  9  4  5  7  8  7  8  6  8  6  4  6  7  5  6  6  6  8
 [69961]  8  5  5  6  3  6  9  4  6  7  7  6  5  9  7  8  5  6  8  6  7  7  5  3
 [69985]  5  7  7  4  6  5  5  3  5  8  7  4  6  4  6  6  6  8  7  3  8  6  4  7
 [70009]  5  4  8  6  7  5  4  9  5  6  7  7  6  6  8  6  4  6  6  7  6  3  6  6
 [70033]  8  6  4  7  7  6  4  6  7  6  8  7  4  6  4  3  4  6  7  7  8  5  4  5
 [70057]  6  6  8  6  6 10  8  4  7  6  7  4  5  4  7  8  7  7  8  7  6  6  9  7
 [70081]  6  5  4  2  7  7  4  7  5  6  7  6  7  5  3  5  7  7  5  7  4  9  6  6
 [70105]  7 10  7  7  3  5  7  6  7  5  7  7  4  5  5  6  2  2  5  7  5  7  5  9
 [70129]  6  8  6  9  8  6  7  7  6  5  5  5  7  8  8  3  8  8  4  7  6  8  6  6
 [70153] 10  6  4  7  7  5  9  6  5  8  5  6  7  8  7  7  7  6  6  7  5  7  7  6
 [70177]  4  5  8  6  5  6  5  6  8  8  7  9  6  5  8  7  8  7  6  8  7  6  7  4
 [70201]  7  8  7  8  5 10  7  7  6  6  7  6  6  6  5  7  5  6  4  7  4  5  6  5
 [70225]  6  6  9  4  8  4  7  4  8  8  5  8  5  5  7  7  6  3  4  6  6  9  7  8
 [70249]  7  6  5  7  7  7  7  4  5  7  4  6  6  6  5  6  4  5  7  4  4  5  6  4
 [70273]  7  5  9  5  7  6  5  6  5  8  4  4  6  5  5  6  5  3  6  6  4  6  6  6
 [70297]  6  3  8  7  5  7  8  2  6  5  6  5  4  5  7  7  4  8  8  8  5  6  5  7
 [70321]  4  6  7  7  6  7  6  5  4  7  8  7  7  5  5  6  6  5  9  5  7  9  5  7
 [70345]  4  8  6  6  5  7  7  7  5  5  5  6  5  5  6  6  5  9  4  6  8  6  2  7
 [70369]  7  7  5  6  6  4  3  7  5  6  7  6  4  4  4  7  5  2  7  5  5  6  8  5
 [70393]  6  7  9  6  6  6  6  7  7  7  6  6  5  5  7  6  8  5  6  4  7  8  7  4
 [70417]  6  8  5  8  8  7  6  7  8  5  6  6  3  8  8  9  6  3  5  6  5  9  5  6
 [70441]  2  5  8  4  8  6  7  6  7  7  7  4  5  9  6  7  7  6  7  7  5  4  8  5
 [70465]  9  4  5  6  3  6  6  5  5  8  4  4  5  6  8  6  6  7  5  7  4  6  6  7
 [70489]  7  8  6  4  6  5  6  5  9  6  3  6  4  8  5  5  9  7  5  5  9  5  6  5
 [70513]  7  4  5  5  6  6  6 10  6  7  6  4  6  4  6  4  6  8  5  8  8  7  7  9
 [70537]  5  8  5  9  7  4  5  4  5  6  8  7  6  7  7  4  8  7  7  5  6  7  7  4
 [70561]  6  6  6 10  7  4  8  8  5  5  7  9  7  3  7  5  7  6  7  6  6  4  6  5
 [70585]  5  4  6  8  6  6  7  8  7  6  6  7  7  2  8  3  6  2  7  3  7  9  8  5
 [70609]  4  5  3  7  7  5  9  4  6  3  3  4  7  4  4  7  9  5  4  6  4  6  5  6
 [70633]  7  8  7  2  6  5  6  7  6  7  6  7  7  7  7  8  4  7  6  5  7  6  6  7
 [70657]  6  8  6  8  4  6  8  5  6  8  5  4  6  7  6  8  2  6  5  6  8  7  6  6
 [70681]  6  5  4  8  7  6  4  6  7  6  5  4  8  7  3  6  8  8  5  5  5  5  6  7
 [70705]  6  8  6  8  6  7  7  6  6  3  4  7  8  7  6  6  5  8  6  7  7  6  7  6
 [70729]  6  4  8  5  5  6  7  3  7  9  6  7  8  6  7  6  5  8  9  8  8  8  7  7
 [70753]  8  9  5  5  7  8  8  5  7  6  6  8  6  6  8  6  6  8  6  6  8  6  5  6
 [70777]  7  6  8  5  6  7  8  4  5  8  8  3  5  5  5  5  8  3  3  5  6  6  6  8
 [70801]  1  5  5  7  7  5  5  9  3  7  5  6  5  6  7 10  5  8  7  8  4  8  6  6
 [70825]  6  6  8  6  4  7  7  7  6  6  7  6  6  4  8  7  3  5  7  6  8  6  8  7
 [70849]  8  6  4  7  7  4  7  7  7  7  8  8  8  7  5  5  7  6  6  4  5  3  5  7
 [70873]  6  5  6  7  7  9  6  7  8  5  6  7  6  9  5  3  5  7  8  7  6  7  6  2
 [70897]  4  7  7  6  5  6  5  8  4  6  7  6  6  5  6  5  9  5  6  7  7  7  7  7
 [70921]  7  6  5  7  8  6  5  7  7  6  9  3  6  4  6  5  4  5  5  5  4  8  4  6
 [70945]  5  5  4  5  8  6  8  5  8  6  7  6  7  6  6  6  8  7  3  5  6  5  9  6
 [70969]  7  7  6  8  9  4  6  6  9  5  6  8  6  5  6  6  6  6  5  9  5  6  6  5
 [70993]  5  2  4  7  5  6  4  7  3  6  7  7  3  6  4  7  5  5  8  5  9  6  5  9
 [71017]  5  7  7  3  6  5  8  6  8  7  8  7  6  4  6  6  7  6  5  5  8  5  4  3
 [71041]  5  7  5  4  5  7  5  8  6  6  8  6  9  6  8  3  6  6  5  6  7  7  6  4
 [71065]  5  6  5  7  8  9  4  7  5  7  6  7  7  4  6  6  8  6  8  3  6  5  5  7
 [71089]  5  7  6  7  6  3  3  7  5  7  6  8  8  6  4  6  6  5  6  6  6  8  5  6
 [71113]  6  7  8  5  8  5  5  7  7  5  5  7  8  7  5  6  6  4  9  6  6  8  4  7
 [71137]  7  6  5  4  5  5  8  6  8  9  8  8  7  5  6  7  5  6  7  7  4  5  5  3
 [71161]  6  8  9  5  7  3  4  6  3  5  6  4  6  3  7  6  5  8  7  6  7  5  5  5
 [71185]  6  6  6  5  4  3  2  8  4  6  9  6  7  7  6  3  8  5  5  7  9  7  6  7
 [71209]  2  6  6  8  5  6  7  8  5  6  6  6  6  6  6  8  5  6  3  6  5  7  6  7
 [71233]  7  7  8  5  8  8  9  6  4  9  7  5  5  7  5  3  5  7  6  7  5  5  6  5
 [71257]  5  3  5  5  6  6  8  5  9  8  7  9  5  5  4  7  8  8  9  5  6  5  6  4
 [71281]  7  7  6  2  8  9  8  2  5  8  9  4  3  5  7  6  7  6  5  8  5  6  7  7
 [71305]  6  7  5  6  6  5  5  5  5  5  5  7  7  3  8  5  4  7  6  4  5  3  6  6
 [71329]  9  9  7  6  7  8  8  5  7  8  5  6  5  6  6  7  6  6  6  4  6  8  4  7
 [71353]  7  8  3  7  5  8  5  5  7  6  6  6  8  7  6  5  6  6  6  7  7  8  6  5
 [71377]  7  5  6  5  7  7  6  4  7  4  5  6  3  5  8  4  8  4  9  7  5 10  7  6
 [71401]  9  3  9  4  6  6  6  9  6  8  8  5  5  4  7  3  5  6  8  3  6  7  4  7
 [71425]  1  5  6  3  7  3  3  3  4  9  7  4  7  8  8  6  5  6  5  6  4  7  6  6
 [71449]  6  7  8  7  7  6  4  6  6  7  6  5  4  5  5  7  7  6  9  6  2  6  8  5
 [71473]  6  8  4  5  3  6  7  7  5  5  7  8  8  6  8  8  8  6  7  6  8  7  7  6
 [71497]  8  7  8  9  5  6  6  5  5  8  6  7  8  4  6  5  5  5  6  6  8  5  6  8
 [71521]  2  7  5  4  5  8  8  7  8  5  6  6  9  5  7  7  4  5  6  3  7  7  9  6
 [71545]  7  4  6  7  3  7  7  6  8  5  5  6  7  5  7  4  8  4  6  3  5  7  6  6
 [71569]  7  3  6  9  5  9  8  5  7  6  6  5  4  3  6  8  8  4  6  5  5  6  5  8
 [71593]  6  6  7  4  5  7  5  6  6  3  5  7  6  6  8  4  5  2  5  4  6  6  7 10
 [71617]  6  6  9  4  5  4  5  7  7  6  6  5  6  7  6  6  6  9  5  5  9  3  8  3
 [71641]  4  4  6  6  6  6  4  9  6  3  6  6  7  7  8  5  4  2  4  9  8  5  5  5
 [71665]  7  6  6  5  8  4  4  6  7  6  4  5  6  7  4  5  6  6  3  2  5  7  9  5
 [71689]  6  5  7  1  6  5  8  6  8  6  7  4  9  8  8  6  9  5  4  5  8  6  6  4
 [71713]  8  6  8  6  5  7  4  6  7  7  5  7  7  6  6  7  6  5  6  6  6  6  4  5
 [71737]  8  5  6  5  6  6  6  6  6  6  5  6  6  8  2  7  5  5  5  6  8  5  4  5
 [71761]  3  5  7  4  6  5  5  5  4  6  6  6  7  6  5  2  8  4  6  7  8  8  8  5
 [71785]  7  8  6  6  6  6  5  6  7  7  6  5  3  4  8  7  6  7 10  6  8  8  7  8
 [71809]  6  4  5  6  5  2  4  7  5  4  6  5  7  8  4  6  7  6  7  6  4  6  4  6
 [71833]  6  7  7  6  7  6  4  8  7  7  6  9  8  6  5  7  6  7  5  7  6  5  7  8
 [71857]  6  8  7  3  8  8  7  6  5  3  6  5  5  7  4  4  6  6  7  9  6  6  7  7
 [71881]  6  6  7  5  6  4  8  4  7  8  8  6  7  8  6  5  5  7  4  8  6  9  6  6
 [71905]  5  5  6  5  7  7  6  7  7  5  6  6  7  7  6  7  7  4  7  6  5  1  3  8
 [71929]  4  4  7  6  3  7  4  3  6  6  6  9  8  8  3  4  7  7  7  4  6  7  7  4
 [71953]  7  4  5  8  7  8  4  9  6  7  6  7  6  7  8  4  4  6  5  4  7  5  6  6
 [71977]  7  7  9  6  5  6  5  4  6  3  5  5  6  7  5  6  7  6  8  6  7 10  3  2
 [72001]  7  3  4  6  4  8  6  6  7  6  6  4  5  5  8  6  7  8  5  2  7  9  5  6
 [72025]  8  6  8  6  7  6  6  9  7  6  8  4  6  5  6  8  6  4  4  5  8  5  6  8
 [72049]  7  8  3  5  7  6  3  8  6  4 10  9  9  6  5  5  5  6  6  9  4  8  4  5
 [72073]  9  4  5  6  6  4  7  5  7  7  6  7  4  6  8  5  6  7  3  8  7  5  8  7
 [72097]  5  6  7  6  8  5  8  5  9  5  8  7  7  3  5  9  6  7  8  5  5  4  6  8
 [72121]  5  9  3  3  7  3  7  7  8  5  5  7  8  4  7  5  6  8  3  7  6  5  7  8
 [72145]  7  4  7  6  6  6  7  6  8  8  6  7  7  7  7  6  7  4 10  4  4  5  5  6
 [72169]  5  4  7  8  5  7  9  3  5  1  8  8  6  5  7  4  7  8  8  7  7  6  7  8
 [72193]  5  4  8  7  5  8  6  5  8  9  6  7  7  8  4  7  4  7  5  8  7  5  3  8
 [72217]  7  8  4  4  5  7  7  7  5  5  4  7  4  6  5  8  9  3  4  7  6  7  7  7
 [72241]  9  4  6  6  6  7  7  5  7  8  8  7  7  7  7  8  6  9  5  6  6  5  8  8
 [72265]  4  8  5  9 10  4  6  9  6  5  4  7  7  7  5  3  5  6  6  8  4  6  8  6
 [72289]  7  7  4  2  6  4  3  6  7  7  6  6  6  5  5  4  5  6  8  2  4  7  6  4
 [72313]  6  7  8  7  7  6  7  8  6  4  8  5  8  7  4  6  6  7  5  6  6  5  9  7
 [72337]  7  7  6  7  4  8  6  8  6  4  6  6  3  7  6  6  4  7  6  8  5  4  7  6
 [72361]  5  7  6  5  6  4  4  7  8  3  7  8  6  4  7  5  8  5  4  5  3  7  4  4
 [72385]  8  6  7  6  2  6  5  7  6  5  7  6  9  6  6  7  7  7  3  2  5  7  9  7
 [72409]  5  4  8  8  8  6  6  5  7  6  5  5  8  9  7  8  4  6  6  6  8  7  8  8
 [72433]  4  3  5  5  6  5  7  6  6  4  5  2  4  6  7  6  7  7  4  6  8  6  8  6
 [72457]  6  6  6  8  5  7  4  6  4  7  7  5  7  6  5  6  7  3  5  5  6  7  4  4
 [72481]  5  5  5  6  8  7  5  6  7  6  9  7  6  3  4  5  7  7  3  5  4  6  8  3
 [72505]  6  4  6  8  5  5  5  9  7  4  6  5  5  6  9  7  4  5  6  6  6  9  5  6
 [72529]  8  7  7  7  4  5  4  6  5  7  6  6  6  5  7  7  4  6  3  5  6  6  8  4
 [72553]  7  5  5  7  7  6  6  9  6  5  6  7  8  7  8  8  9  7  6  5  5  9  6  6
 [72577]  7  4  5  7  6  9  8  7  6  6  6  7  7  6  8  7  6  6  6  7  6  8  4  8
 [72601]  5  6  8  7  7  5  5  5  5  9  6  9  7  5  5  7  5  7  7  6  6  8  3  7
 [72625]  6  6  5  6  6  7  4  8  6  7  9  4  7  6  8  3  5  9  5  6  5  6  5  9
 [72649]  6  5  6  9  5  6  9  8  5  5  5  7  5  6  6  4  6  6  4  8  6  7  3  6
 [72673]  5  4  5  7  8  7  7  7  5  6  7  6  5  6  9  3  7  2  5  6  5  8  4  9
 [72697]  6  5  8  6  5 10  4  7  4  4  6  7  3  8  9  6  4  6  8  9  5  7  6  7
 [72721]  6  6  6  4  6  5  6  5  5  6  6  5  6  8  6  5  6  7  3  3  6  2  6  7
 [72745]  7  7  4  6  4  8  6  5  6  5  8  4  3  4  6  6  7  5  6  6  6  5  3  8
 [72769]  6  4  9  5  7  8  6  7  9  5  6  2  7  7  5  6  6  7  8  6  8  4  7  7
 [72793]  5  6  4  5  6  4  6  6  8  8  7  7  8  6  6  7  7  4  7  8  3  6  4  6
 [72817]  6  5  7  6  4  4  7  6  9  9  8  5  8  6  7  7  5  5  5  8  6  7  6  6
 [72841]  4  6  4  7  5  8  6  5  6  7  6  6  7  6  7  5  6  6  6  8  6  4  8  7
 [72865]  7  6  6  5  5  4  6  4  8  4  5  5  8  2  5  5  4  4  7  7  6  7  4  7
 [72889]  4  9  8  5  4  7  5  8  5  6  6  8  7  3  5  3  6  6  6  8  3  6  6  2
 [72913]  6  4  5  6  7  6  5  6  2  4  7  4  7  6  7  7  7  9  4  8  7  3  6  4
 [72937]  8  4  5  5  7  6  3  6  6  4  5  5  5  6  6  6  7  6  6  7  6  6  5  6
 [72961]  4  7  6  6  6  7  8  6  4  6  6  8  5  6  6  7  8  5  5  6  8  4  6  8
 [72985]  6  4  8  5  8  8  5  4  5  6  5  7  6  7  8  4  5  8  5  7  7  7  5  7
 [73009]  7  7  2  9  5  6  5  8  4  7  7  7  5  6  8  5  5  7  4  5  9  6  7  5
 [73033]  8  4  9  8  6  8  2  5  7  7  7  3  6  6  6  6  7  4  4  7  5  7  7  7
 [73057]  8  7  6  5  6  6  7  6  5  7  9  8  6  5  6  8  7  6  9  7  6  4  5  5
 [73081]  6  5  7  7  6  5  7  4  9  8  6  9  5  8  2  7  9  3  5  8  6  6  7  6
 [73105]  5  6  5  7  5  4  5  8  3  6  6  6  6  4  8  3  5  7  6  6  5  4  8  6
 [73129]  6  5  7  5  8  5  5  6  8  4  3  7  6  5  5  6  4  6  8  7  6  8  8  8
 [73153]  5  4  6  5  5  6  5  6  8  8  6  6  4  5  6  4  6  6  3  7  4  3  7  8
 [73177]  8  6  4  5  8  9  2  5  8  4  7  8  4  5  5  8  8  5 10  5  6  4  4  3
 [73201] 10  5  4  8  6  9  5  8  9  6  5  7  8  3  7  3  2  4  6  5  5  6  8  4
 [73225]  7  8  7  9  5  7  6  6  7  7  7  7  5  7  6  8  3  7  5  9  8  6  8  9
 [73249]  4  6  3  4  5 10  6  5  2  6  4  8  6  5  7  6  6  5  5  7  7  4  5  8
 [73273]  6  4  5  5  6  5  3  5  8  6  6  9  9  4  7  7  6  2  8  6  8  5  3  6
 [73297]  8  7  7  8  9  8  4  8  7  9  6  6  7  7  5  7  7  7  8  5  6  8  5  6
 [73321]  9  4  5  6  4  5  5  7  6  6  6  7  8  7  5  4  5  7  9  8  5  6  7  5
 [73345]  3  8  7  8  7  6  4  9  5  5  5  6  5  7  8  5  4 10  6  7  2  7  6  3
 [73369]  4  7  6  6  6  4 10  5  9  4  4 10  6  6  7  8  8  5  6  8  7  4  9  4
 [73393]  8  3  4  4  8  6  5  6  5  8  6  7  7  5  4  3  9  4  7  6  5  5  4  6
 [73417]  4  5  3  4  7  5  3  6  9  5  6  6  6  5  5  4  8  6  6  6  9  9  3  7
 [73441]  6  8  6  8  5  5  5  9  4  5  6  6  5  6  5  8  6  7  8  6  9  5  3  7
 [73465]  5  9  6  8  8  8  7  7  7  8  5  4  5  5  8  6  7  6  4  6  7  8  6  8
 [73489]  7  7  7  4  6  8  9  8  8  8  7  6  7  4  5  9  6  5  6  6  4  5  6  6
 [73513]  7  4  5  6  6  6  6  7  8  7  7  8  2  5  7  6  5  5  5  7  7  6  5  4
 [73537]  5  7  5  8  3  5  5  6  6  4  9  8  5  4  7  6  4  5  7  5  5  7  7  5
 [73561]  5  5  4  4  5  6  6  4  7  9  7  5  6  5  5  6  7  3  8  7  7  8  8  9
 [73585]  8  5  5  8  6  5  3  6  9  7  5  6  7  4  4  6  6  7  5  7  6  8  7  6
 [73609]  7  4  7  9  7  6  5  5  4  7  7  7  5  6  9  5  5  8  6  4  9  5  6  6
 [73633]  3  5  5  8  6  7  8  6  6  8  5  6  5  5  6  7  6  8  8  5  6  6  6  7
 [73657]  7  5  9  5  7  4  7  4  6  6  6  8  6  6  4  3  5  6  4  6  6  5  7  5
 [73681]  5  6  6  6  6  6  7  8  7  5  3  6  8  5  4  8  6  5  5  5  4  6  7  3
 [73705]  2  7  5  4  7  4  6  6  6  5  6  6  8  6  4  5  6  7  4  7  6  5  7  3
 [73729]  4  5  5  4  5  6  4  9  5  6  6  5  5  8  6  5  8  6  4  7  4  8  5  5
 [73753]  8  5  5  8  6  7  7  6  6  5  7  5  7  4  5  7  6  7  8  5  9  7  7  8
 [73777]  7  6  4  5  5  7  5  5  7  4  8  6  5  6  7  6  4  8  4  5  4  7  7  8
 [73801]  6  8  5  9  5  7  9  6  4  7  7  3  5  5  8  6  5  5  8  4  6  6  3  6
 [73825]  7  6  7  9  7  6  7  9  7  7  5  7  7  3  5  9  7  7  4  7  8  8  5  6
 [73849]  8  6  5  6  8  7  7  3  6  3  6  6  7  5  7  6  4  4  4  7  5  7  7  6
 [73873]  8  6  5  0  8  9  6  7  5  6  5  4  8  4  6  6  5  8  4  7  7  7  6  6
 [73897]  5  5  4  5  6  8  6  6  6  7  5  4  6  4  5  5  7  8  4  3  5  5  9  5
 [73921]  9  6  6  8  5  4  4  7  7  6  4  4  6  4  6  7  8  6  4  5  5  8  7  6
 [73945]  4  8  6  7  3  8  7  5  6  8  8  5  5  6  6  6  5  5  4  6  7  9  4  7
 [73969]  5  6  8  6  8  7  5  6  7  7  6  6  7  6  5  4  6  6  6  6  5  5  5  4
 [73993]  4  4  8  7  5  6  8  6  7  7  5  5  5  5  7  4  8  4  6  5  7  3  6  6
 [74017] 10  5  7  7  6  8  4  4  4  7  5  6  7  6  7  6  5  6  2  6  7  4  6  5
 [74041]  7  4  4  6  5  8  4  6  4  8  5  4  7  6  6  6  7  5  7  8  7  6 10  5
 [74065]  8  8  6  6  6  7  8  4  6  6  5  7  5  4  3  7  7  7  5  5  6  3  5  7
 [74089]  6 10  8  3  7  5  8  5  6  6  4  6  6  8  5  5  8  4  5  8  4  4  6  8
 [74113]  8  5  8  5  4  8  4  8  6  6  8  5  6  5  8  6  8  4  5  6  2  6  5  6
 [74137]  4  5  4  4  3  6  6  7  6  7  5  2  6  7  6  6  6  7  8  8  2  5  6  6
 [74161]  6  7  7  7  9  6  7  6  6  7  5  8  6  5  6  5  7  7  8  6  5  4  6  6
 [74185]  7  9  7  5  6  6  6  7  5  6  6  5  6  9  5  4  5  9  3  7  6  3  5  8
 [74209]  3  5  6  7  4  7  6  6  8  4  7  3  8  6  4  2  5  5  8  7  5  9  8  9
 [74233]  7  7  7  1  6  6  7  7  6  6  6  7  8  4  7  4  7  6  5  6  5  7  3  5
 [74257]  7  7  6  5  6  5  8  7  4  5  7  5  8  6  9  4  7  7  8  7  6  8  9  5
 [74281]  5  5  2  3  9  5  7  6  5  8  4  6  8  7  5  5  8  6  8  7  4  4  8  8
 [74305]  5  6  5  7  6  8  7  7  6  6  8  8  3  5  6  5  5  6  7  5  7  5  9  6
 [74329]  6  5  6  7  6  7  6  4  4  6  7  8  4  8  4  8  7  5  6  6  6  7  2  7
 [74353]  6  6  6  5  6  6  7  6  7  4  6  4  4  6  5  5  4  5  5  3  5  7  8  4
 [74377]  8  5  5  5  6  6  6  6  7  9  4  4  4  7  5  9  3  8  6  4  5  6  5  6
 [74401]  8  7  6  8  6  6  6  8  5  5  6  8  9  3  7  8  4  6  3  7  6  8  8  5
 [74425]  5  5  9  6  6  5  6  6  7  8  4  6  3  5  6  6  8  6  6  4  9  7  7  4
 [74449]  7  6  6  6  8  8  7  4  2  4  5  5  8  5  5  6  6  6  8  7  5  7  7  9
 [74473]  7  5  8  7  8  4  8  6  6  8  6  6  7  7  5  8  7  7  7  6  8  7  4  4
 [74497]  5  8  9  4  7  4  7  6  6  4  4  2  7  3  3  7  7  7  7  6  7  3  6  7
 [74521]  7  5  8  5  9  9  5  5  5  6  8  9  5  5  7  7  7  4  4  7  6  5  6  8
 [74545]  5  5  6  6  5  4  5  4  4  8  6  8  7  6  8  6  6  6  6  6  6  5  7  5
 [74569]  4  3  5  7  7  5  6  7  4  5  6  7  7  9  5  8  7  6  7  8  4  4  7  6
 [74593]  5  4  7  4  6  8  6  7  6  6  6 10  4  8  5  5  8  4  6  5  4  7  5  6
 [74617]  7  8  4  7  5  6  6  5  6  6  2  3  4  8  4  5  6  4  7  7  8  6  8  5
 [74641]  5  8  7  7  5  6  6  5  6  4  7  7  9  6  8  8  6  5  4  6  7  4  6  9
 [74665]  5  7  3  4  5  5  6  3  5  6  9  6  9  7  7  5  7  7  7  6  6  5  4  6
 [74689]  5  7  6  3  3  7  5  6  7  5  4  7  7  4  7  6  6  6  6  6  5  8  6  5
 [74713]  9  6  5  5  9  5  5  6  7  6  7  7  4  5  6  3  8  8  8  8  7  7  7  5
 [74737]  7  8  5  7  8  6  7  5  6  9  7  5  7  6  7  5  5  6  5  8  6  6  7  4
 [74761]  8  8  7  6  6  4  4  9  7  5  8  7  5  4  5  5  6  6  9  5  6  3  5  5
 [74785]  6  9  1  5  9  7  6  7  8  4  5  9  7  6  7  4  8  5  4  5  8  6  5  8
 [74809]  5  8  4  4  3  6  6  7  8  8  9  9  4  6  5  9  9  5  5  6  6  8  7  7
 [74833]  4  8  8  4  6  9  7  5  5  7  7  6  3  8  4  6  5  4  6  6  5  7  7  5
 [74857]  5  9  3  6  7  9  2  7  6  6  5  6  7  6  5  5  6  2  5  7  7  7  7  2
 [74881]  4  8  6  4  5  7  7  4  2  8  6  7  7  4  6  6  6  5  7  5  5  5  8  5
 [74905]  7  4  5  6  6  7  6  6  6  6  7  6  5  9  6  4  5  8  7  5  4  9  5  5
 [74929]  7  5  6  7  5  6  6  6  6  7  6  4  5  6  8  7  4  7  8  7  7  7  3  6
 [74953]  4  5  5  6  8  6  3  8  9  4  4  6  5  5  7  7  6  8  6  6  3  4  2  1
 [74977]  7  7  7  5  6  8  4  9  5  8  5  6  7  4  4  7  8  5  6  6  6  6  6  5
 [75001]  7  6  6  7  5  5  8  7  7  6  5  7  7  6  4  4  5  5  9  8  6  6  7  5
 [75025]  6  7  6  6  6  5  5  6  7  5  6  5  5  7  6  7  8  6  8  9  6  5  3  6
 [75049]  5  7  7  7  8  4  7  8  9  4  7  7  7  5  9  4  6  5  4  6  4  5  4  8
 [75073]  5  1  6  5  4  7  7  8  3  4  6  7  7  8  7  7  2  7  7  5  7  6  5  6
 [75097]  7  4  4  7  7  5  5  7  7  5  5  7  9  8  4  7  5  5  5  7  8  6  3  8
 [75121]  6  8  6  5  5  7  6  7  4  7  3  4  5  4  8  5  5  9  6  4  7  4  5  6
 [75145]  7  5  8  7  7  4  8  3  5  7  8  6  5  5  6  8  6  8  8  4  7  5  2  4
 [75169]  5  8  3  6  9  7  8  5  6  2  5  4  8  4  6  8  5  7  7  6  5  6  7  4
 [75193]  5  7  8  4  7  5  5  5  3  8  9  6  7  5  6  7  8  6  8  7  5  5  5  6
 [75217]  6  2  5  7  7  6  8  5  6  6  5  7  7  5  7  4  2  2  6  8  3  4  5  4
 [75241]  5  8  5  5  6  8  6  4  6  6  6  5  5  6  9  7  6  8  2  5  7  8  7  4
 [75265]  7  7  8  8  7  7  5  8  6  7  4  8  6  7  4  8  6  6  8  4  7  5  4  6
 [75289]  7  7  6  6  7  4  8  5  6  4  4  9  5  6  7  5  5  7  8  8  5  7  8  5
 [75313]  6  7  3  7  5  6  7  5  6 10  8  7  4  3  8  6  9  4  5  9  5  8  5  7
 [75337]  2  5  9 10  6  8  7  5  6  8  5  6  5  4  5  6  8  5  6  6  6  8  4  5
 [75361]  8  6  4  6 10  8  7  5  5  6  7  5  7  6  6  4  4  7  5  4  6  5  4  6
 [75385]  5  9  4  7  8  6  6  7  7  7  3  7  9  7  7  4  6  7  6  7  5  4  6  7
 [75409]  8  5  5  3  7  8  5  7  6  9  9  2  9  6  7  5  4  6  3  7  7  7  3  9
 [75433]  6  7  3  8  6  6  5  7  7  7  6  5  7  8  8  5  8  4  3  5  7  6  7  6
 [75457]  8  8  3  5  4  5  6  7  6  6  3  6  6  7  5  4  8  7  6  8  5  9  9  7
 [75481]  8  2 10  4  4  9  4  8  6  5  5  5  6  6  8  7  6  8  5  7  5  7  7  4
 [75505]  6  6  7  4  6  8  8  4  5  7  6  6  2  6  8  8  5  5  5  5  5  4  6  7
 [75529]  6  3  5  6  4  6  7  6  6  6  6  6  8  2  9  5  8  9  5  4  4  9  8  6
 [75553]  6  7  3  7  6  7  4  4  3  9  6  5  8  6  7  6  4  7  6  6  6  7  6  8
 [75577]  8  7  6  5  8  7  9  7  5  7  6  8  7  7  5  7  4  7  6  4  6  4  5  6
 [75601]  5  7  7  6  4  8  8  6  6  8  7  5  6  5  5  7  6  8  7  6  6  5  3  4
 [75625]  5  6  6  6  7 10  8  4  5  7  3  8  8  6  6  5  4  8  4  7  8  5  7  6
 [75649]  5  5  3  5  4  8 10  5  3  6  7  8  7  6  5  8  7  7  5  9  5  6  7  5
 [75673]  7  4  7  9  5  5  7  6  6  5  6  4  5  6  5  5  6  5  5  6  5  6  4  8
 [75697]  2  7  5  6  5  7  7  5  6  6  6  4  7  6  7  6  6  6  8  8  6  5  7  4
 [75721]  6  5  8  4  7  5  6  7  7  5  4  5  7  7  2  4  9  7  5  6  9  6  8  6
 [75745]  7  8  8  5  5  7  7  7  6  8  2  7  5  6  7  7  7  4  8  7  6  5  7  5
 [75769]  5  8  8  7  4  6  7  3  8  6  8  7  6  2  4  5  6  6  6  8  6  6  6  6
 [75793]  2  6  4  4  7  5  5  4  6  8  7  7  7  7  6  7  7  4  5  6  7  4  4  5
 [75817]  5  8  6  6  6  6  6  5  5  5  4  4  7  7  3  5  5  4  9  5  5  6  7  8
 [75841]  8  6  6  7  7  7  3  6  4  7  7  6  7  8  7  4  2  4  8  5  7  8  7  5
 [75865]  9  7  4  7  5  7  7  6  8  4  7  2  7  6  7  4  6  8  8  6  5  9  3  5
 [75889]  8  6  6  4  7  7  6  5  4  6  6  5  5  4  8  5  5  6  4  6  5  6  5  8
 [75913]  8  6  5  8  8  7  6  5  4  6  6  6  8  7  5  5  7  3  6  7  6  6  8  4
 [75937]  4  3  7  4  6  7  7  5  7  5  7  8  8  7  6  5  5  5  6  5  8  8  6  6
 [75961]  5  5  6  7  7  6  4  7  7  7  6  8  6  4  3  7  6  5  5  8  8  4  7  7
 [75985]  2  8  7  7  6  9  5  6  7  4  6  5  8  7  8  8  7  7  3  4  6  4  7  3
 [76009]  5  7  5  8  6  8  6  7  6  5  6  5  1  6  7  6  6  6  5  7  6  5  6  5
 [76033]  7  4  6  5  6  8  8  6  9  7  5  5  5  4  5  5  8  4  8  7  6  7  7  7
 [76057]  6  6  4  7  6  5  7  5  4  7  9  6  5  6  6  4  4  5  6  4  5  8  6  7
 [76081]  5  6  8  7  5  5  7  6  5  4  5  7  3  8  7  6  5  4  3  6  7  6  6  2
 [76105]  6  5  4  9  5  6  5  8  4  3  5  6  4  4  5  5  6  5  5  4  9  5  5  6
 [76129]  8  6  8  6  6  4  8  6  6  6  7  7  6  3  6  4  9  7  6  7  5  6  7  6
 [76153]  5  6  8  4  6  8  8  6  9  4  5  6  5  8  7  6  6  5  5  7  6  6  6  6
 [76177]  3  3  7  5  6  5  4  7  7  7  5  6  7  5  6  7  9  6  7  3  6  6  3  6
 [76201]  6  5  5  5  7  9  5  9  4  5  6  7  7  8  5  4  7  6  6  8  6  6  5  7
 [76225]  8  6  4 10  5  2  7  4  8  8  5  4 10  7  6  6  6  6  6  5  8  6  5  4
 [76249]  5  3  7  7  7  6  5  4  5  7  8  5  6  4  6  4  4  6  7  3  8  8  6  6
 [76273]  5  6  9  9  6  7  4  5  5  5  5  6  7  4  9  6  6  6  8  8  8  6  8  3
 [76297]  7  5  4  6  9  8  6  6  4  7  2  8  8  7  5  1  7  5  9  8  5  6  6  6
 [76321]  7  8  7  8  7  4  6  5  6  6  6  5  9  9  5  4  7  6  7  7  7  4  7  4
 [76345]  5  6  7  8  4  7  6  7  8  6  6  6  7  6  5  7  7  6  8  5  3  7  8  6
 [76369]  7  7  6  6  7  8  7  6  7  4  6  5  4  8  7  2  6  6  7  9  6  7  7  6
 [76393]  4  6  4  7  7  3  6  7  6  4  6  5  4  7  4  5  3  7  6  5  8  5  6  8
 [76417]  7  8  5  7  9  8  7  3  8  5  6  7  5  3  5  5  6  4  6  6  9  7  5  5
 [76441]  6  7  6  6  7  6  5  7  7  8  5  7  7  5  6  4  6  8  4  4  8  5  4  8
 [76465]  6  6  7  8  7  9  8  7  8  6  7  4  5  5  8  5  3  6  8  4  7  7  7  4
 [76489]  5  4  8  5 10  6  9  5  5  8  7  5  6  8  7  5  6  5  4  5  4  7  7  7
 [76513]  4  6 10  5  7  7  6  5  4  3  7  6  4  6  6  7  7  6  7  5  6  5  7  7
 [76537]  7  9  7  8  3  6  3  6  7  6  6  5  4  7  7  8  5  6  3  6  7  7  6  7
 [76561]  5  4  4  5  5  6  3  7  4  6  6  7  8  7  8  4  8  8  8  6  7  2  4  6
 [76585]  5  7  7  4  6  9  8  6  6  6  5  7  7  5  6  5  8  7  4  4  5  9  3  5
 [76609]  5  4  6  7  6  4  3  4  5  3  7  7  6 10  6  7  9  4  5 10  6  8  7  7
 [76633]  5  7  8  8  7  6  5  8  7  6  5  8  4  8  6  6  5  2  8  6  3  6  6  4
 [76657]  8  4  6  3  5  8  7  3  6  8  8  6  6  6  4  5  3  4  7  4  8  6  4  3
 [76681]  9  4  6  3  7  9  8  5  3  8  5  7  7  7  6  6  6  6  9  6  3  7  5  7
 [76705]  6  8  5  5  5  7  8  7  4  6  7  5  2  9  5  5  7  4  7  7  4  7  8  8
 [76729]  5  7  7  5  6  7  4  6  6  4  6  7  5  7  6  5  7  4  6  4  6  5  7  7
 [76753]  5  5  8  6  7  6  7  7  4  4  9  8  5  7  5  4  7  7 10  6  5  4  4 10
 [76777]  6  6  2  5  5  8  6  6  5  7  7  7  6  8  4  3  7  6  8  5  6  3  4  6
 [76801]  5  4  8  3  6  7  5  7  5  8  5  7  7  6  8  8  3  7  4  4  6  7  5  5
 [76825]  7  5  5  9  5  6  6  5  8  6  8  4  5  6  7  7  8  7  6  4  7  7  5  7
 [76849]  7  5  6  8  6  6  5  7  7  6  5  7  6  7  4  3  4  4  9  5  6  3  5  3
 [76873]  7  3  6  7  4  6  6  5  4  7  7  6  8  5  7  3  7  6  7  9  7  9  4  5
 [76897]  5  8  3  5  3  7  7  4  7  6  5  8  6  5  4  6  7  6  4  5  7  6  3  6
 [76921]  6  5  7  4  7  7  4  7  5 10  9  8  7  6  6  5  8  6  4  4  7  6  8  6
 [76945]  5  4  6  5  5  5  6  5  6  6  7  4  5  7 10  6  7  5  7  8  6  5  7  7
 [76969]  8  4  7  6  7  7  6  5  8  7 10  6  7  5  8  7  7  6  8  5  6  9  6  5
 [76993]  5  5  6  8  4  7  8  6  4  4  5  5  5  3  3  3  5  2  9  4  4  5  5  5
 [77017]  4  9  6  6  6  6  6  8  3  7  8  5  6  4  8  5  4  6  7  7  6 10  7  7
 [77041]  5  5  6  7  5  6  8  7  7  4  5  3  7  9  4  5  7  6  6  6  4  6  6  5
 [77065]  4  8  9  8  8  5  7  7  8  5  7  8  5  6  5  7  6  8  5 10  5  4  3  2
 [77089]  5  7  7  5  5  6  4  6  7  3  5  4  4  9  5  6  9  6  7  5  6  7  5  5
 [77113]  8  5  7  5  6  5  8  7  5  6  3  4  8  3  8  5  4  5  5  5  9  7  4  6
 [77137]  8  5  6  4  4  8  4  6  7  7  5  8  5  5  7  8  4  5  5  7  7  7  4  6
 [77161]  7  6  4  4  5  2  6  6  7  7  2  3  6  9  7  5  6  8  6  7  4  7  5  7
 [77185]  5  7  5  5  6  7  8  7  5  7  7  7  6  6  8  7  6  7  7  4  4  8  6  7
 [77209]  5  4  7  3  5  6  5  7  4  7  7  6  5  7  7  4  6  5  6  5  8  6  6  5
 [77233]  5  6  6  7  5  5  6  7  7  6  7  5  7  5  2  5  7  6  7  5  7  3  7  5
 [77257]  5  5  6  7  8  8  6  3  7  7  5  5  6  8  7  6  5  5  7  5  3  7  8  6
 [77281]  8  6  7  7  6  9  4  5  8  3  4  9  6  6  6  6  4  7  3  5  7  4  9  8
 [77305]  7  5  6  5  5  5  6  4  5  7  4  7  4  5  7  4  9  7  7  6  5  6  6  8
 [77329]  6  4  2  4  7  5  7  3  4  7  6  4  6  6  6  6  7  6  8  7  6  6  6  4
 [77353]  5  6  9  6  5  7  6  6  5  5  8  5  8  8  7  5  6  7  5  6  5  5  8  6
 [77377]  4  5  2  6  8  7  4  4  9  4  9  6  4  8  9  7  8  6  6  5  5  6  3  7
 [77401]  9  4  6  8  7  5  6  6  5  6  5  5  4  5  6  3  4  6  5  9  6  6  5  6
 [77425]  5  7  4  5  6  5  7  6  7  1  5  8  7  7  7  6  4  9  4  6  5  7  8  6
 [77449]  5  7  8  7  8  6  6  7  4  6  6  6  7  4  4  5  6  6  4  5  4  5  6  4
 [77473]  6  9  8  8  6  6  3  6  5  6  8  8  7  6  6  4  8  6  5  7  8  6  5  8
 [77497]  8  7  5  8  9  6  7  4  7  6  5  8  8  6  5  6  8  4  6  7  7  8  5  8
 [77521]  6  6  7  4  7  5  6  7  5  7  6  9  3  8  6  6  4  3  4  6  8  8  6  5
 [77545]  5  6  4  7  7  6  5  8  8  5  5  5  8  8  7  4  6  7  6  8  4  6  8  7
 [77569]  4  6  5  5  7  8  3  7  6  7  7  6  5  5  6  8  8  7  7 10  8  3  8  7
 [77593]  4  5  7  4  6  7  4  5  6  7  6  5  5  8  6  6  7  8  4  7  1  5  3  6
 [77617]  5  7  6  4  5  6  9  9  7  8  6  5  7  6  6  4  6  5  4  6  7  4  6  6
 [77641]  4  3  5  4  7  6  5  9  5  4  6  6  9  7  6  6  4  8  8  4  8  6  8  4
 [77665]  4  7  8  3  7  6  6  4  7  5  5  4  8  4  7  5  7  4  4  7  9  6  7  6
 [77689]  8  6  4  7  9  6  4  2  8  3  4  6  4  6  7  4  5  7  6  4  6  6  7  6
 [77713]  5  5  4  7  6  5  4  7  6  8  8  5  5  7  7  7  5  4  4  8  5  7  8  7
 [77737]  6  5  5  6  5  9  7  7  5  1  5  6  5  6  6  9  6  7  5  6 10  7  7  7
 [77761]  6  8  4  7  4  6  3  6  5  8  7  7  7  7  8  5  7  6  7  6  5  6  8  8
 [77785]  7  8  8  6  4  6  7  7  6  6  7  6  8  7  4  6  7  6  4  7  6  7  6  5
 [77809]  4  6  6  7  7  5  9  7  5  6  5  6  6  8  7  8  7  7  7  5  6  6  7  7
 [77833]  6  6  5  5  6  6  7  7  3  5  7  8  5  4  9  6  4  7  4  6  8  5  6  5
 [77857]  5  5  8  5  5  8  4  5  5  4  5  5  6  5  9  5  5  9  8  6  5  5  6  6
 [77881]  6  8  4  9  7  7  6  5  5  6  6  4  6  5  7  6  3  4  7  5  7  3  6  3
 [77905]  9  5  4  4  5  8  8  4  7  8  7  4  9  5  5  2  6  7  6  8  7  5  7  6
 [77929]  5  7  6  7  6  5  7  5  6  6  6  8  6  8  6  8  5  7  7  5  7  6  6  7
 [77953]  7  7  5  5  9  5  7  6  5  7  6  6  6  5  7  5  6  6  5  1  7  5  5  5
 [77977]  7  8  6  4  6  5  6  6  6  4  7  6  6  7  6  6  5  4  6  5  7  5  9  6
 [78001]  9  5  7  4  6  6  6  3  6  7 10  7  4  4  9  6  3  5  8  9  6  7  5  5
 [78025]  6  5  6  6  6  6  6  7  5  2  4  6  3  8  1  6  5  5  7  8  5  7  8  6
 [78049]  6  4  6  6  6  8  1  4  5  8  6  6  6  5  4  8  6  5  9  7  3  7  6  4
 [78073]  5  7  7  5  6  6  7  7  4  7  6  5  6  5  6  6  5  7  4  7  5  7  2  6
 [78097]  9  8  6  4  6  7  3  5  4  3  9  4  8  6  6  4  8  5  5  4  7  4  6  7
 [78121]  6  5  8  5  6  7  4  7  4  6  6  3  6  5  5  6  3  9  6  5  7  6  6  6
 [78145]  7  4  3  8  2  7  8  7  5  7  6  6  9  5  6  6  5  4  8  6  3  7  8  4
 [78169]  4  6  5  6  5  4  5  6  8  5  8  8  6  8  6  6  6  7  6  4  6  8  7  5
 [78193]  5  6  5  6  5  6  8  7  4  8  7  5  5  6  5  6  6  6  8  8  6  3  3  5
 [78217]  4  5  4  6  8  6  5  5  5  7  9  6  7  5  5  8  7  6  5  2  8  8  6  6
 [78241]  6  8  7  6  8  7  6  3  6  7  6  7  5  3  6  7  6  4  5  5  6  7  6  6
 [78265]  5  8  6  5  6  8  7  3  6  8  8  7  6  8  7  7  7  7  7  8  5  7  6  3
 [78289]  6  5  6  5  6  3  8  6  5  5  6  9  5  7  6  7  4  8  5  5  5  7  7  5
 [78313]  5  6  6  7  8  6  5  8  5  6  9  6  7  9  8  5  8  3  6  6  5  6  6  8
 [78337]  6  3  5  4  5  6  6  8  4  3  6  7  9  5  7  9  7  3  4  9  6  5  8  8
 [78361]  6  6  6  7  5  7  8  4  5  7  4  5  7  9  7  9  3  4  4  6  6  6  7  7
 [78385] 10  6  5  5  6  8  7  4  9  6  8  3  5  5  6  6  7  7  5  5  4  6  6  7
 [78409]  7  7  5  7  6  7  4  5  4  5  4  4  6  6  5  8  6  6  6  6  5  6  5  6
 [78433]  6  5  7  7  5  8  4  3  6  7  7  8  5  7  5  8  6  4  6  7  7  9  7  8
 [78457]  5  4  6  4  7  7  7  5  7  9  8  6  5  8  7  7  7  6  5  7  8  5  3  8
 [78481]  5  6  5  7  5  7  4  6  5  7  5  4  6  6  8  4  5  5  5  4  8  7  8  5
 [78505]  7  7  7  8  6  5  7  5  6  5  3  8  6  6  5  6  4  8  6  5  5  6  5  6
 [78529]  6  5  7  4  4  5  6  8  6  5  5  6  5  5  6  5  7  5  5  7  6  5  7  6
 [78553]  4  4  7  7  6  7  7  6  9  5  6  5  3  5  8  3  7  5  5  9  4  6  4  8
 [78577]  8  7  7  7  6  7  8  5  6  6  8  8  6  8  6  6  9  9  5  6  7  8  6  5
 [78601]  7  5  7  3  6  4  8  4  5  8  5  7  5  3  6  9  5  8  5  5  6  6  6  9
 [78625]  8  7  9  6  5  6  4  3  6  8  5  4  4  9  8  8  3  7  8  6  8  7  9  8
 [78649]  6  7  4  6  6  7  7  5  6  8  6  5  8  3  6  5  7  6  5  6  6  7  4  7
 [78673]  7  3  7  4  5  4  9  4  4  6  7  7  5  6  5  6  7  7  6  7  6  5  4  5
 [78697]  5  5  8  6  5  7  5  6  8  8  8  8  6  7  4  7  4  9  6  6  5  7  5  7
 [78721]  5  7  7  7  6  5  8  6  9  2  7  9  7  4  7  5  5  9  4  6  9  6  8  6
 [78745]  7  6  4  6  7  6  6  3  7  4  8  6  8  6  5  4  5  6  8  4  9  8  6  4
 [78769]  3  5  8  4  3  4  5  6  7  7  7  6  4  6  4  7  7  5  7  6  6  6  5  2
 [78793]  5  8  6  6  5  8  7  6  6  6  6  4  5  9  3  7  5  2  7  9  7  5  7  6
 [78817]  3  6  5  4  8  7  7  6  8  9  6  7  6  4  5  6  3  7  3  4  5  5 10  7
 [78841]  7  7  6 10  5  8  9 10  6  7  9  6  8  7  5  7  4  3  7  4  6  7  6  6
 [78865]  5  6  7  6  3  2  7  3  4  8  7  4  5  6  5  7  6  6  8  6  5  5  7  5
 [78889]  5  6  4  7  3  6  6  6  5  7  7  7  8  7  7  6  7  6  4  5  7  6  5  6
 [78913]  3  8  9  6  8  4  7  7  4  6  3  6  7  7  9  5  6  9  9  3  8  6  7  5
 [78937]  6  7  5  3  7  6  7  6  7  8  3  9  6  6  5  3  3  4  8  8  8  8  3  6
 [78961]  5  7  5  7  4  5  5  6  9  8  3  7  7  6  6  6  7  5  6  5  8  4  8  9
 [78985]  5  7  9  9  8  6  7  6  5  5  3  5  7  5  6  6  4  8  7  7  9  7  5  9
 [79009]  4  5  7  4  5  8  7  3  7  8  8  6  6  6  4  6  7  5  6  5  6  6  5  7
 [79033]  4  7  7  6  8  4  6  7  4  5  5  6  8  3  5  7  8  8  7  3  3  7  6  6
 [79057]  7  4  7  7  7  7  4  8  6  6  6  4  3  5  7  6  6  7  7  7  6  7  6 10
 [79081]  6  7  4  8  7  5  7  4  5  4  6  5  4  3  3  9  5  8  4  5  6  6  7  5
 [79105]  7  7  7  4  9  9  5  6  6  6  7  6  8  6  7  4  8  3  6  3  4  8  7  7
 [79129]  5  4  3  6  6  7  6  8  8  6  5  6  5  5  4  8  8  5  6  4  4  6  8  7
 [79153]  8  6  8  7  6  4  8  7  6  6  5  6  8  4  6  5  7  7  7  5  7  6  3  3
 [79177]  7  4  3  4  5  5  5  5  5  7  7  5  4  6  7  8  6  5  4  7  9  6  7  6
 [79201]  7  8  6  5  8  6  5  6  7  6  5  6  7  6  7  7  6  1  5  8  4  8  7  3
 [79225]  8  5  5  6  7  4  5  4  5  8  4  4  7  8  6  8  6  6  6  9  7 10  6  6
 [79249]  5  9  4  9  9  8  6  5  7  5  7  5  3  7  8  7  5  6  8  8  5  8  9  5
 [79273]  6  3  5  8  6  7  7  4  9  6  7  3  6  6  5  4  5  6  4  5  7  4  5  5
 [79297]  7  6  7  6  6  6  9  4  5  8  3  9  8  4  8  7  4  8  6  6  7  5  3  5
 [79321]  7  2  3  6  6  4  5  5  5  7  7  7  7  4  9  7  5  4  7  6  7  4  9  6
 [79345]  7  5  5  6  8  4  6  7  6  7  6  7  4  6  7  6  7  8  6  5  5  4  5  7
 [79369]  4  6  6  7  7  6  4  7  7  4  5  6  6  5  7  6  2  5  6  7  9  7  3  4
 [79393]  8  4  7  3  9  8  7  9  5  9  6  7  4  9  5  4  9  5  7  4  5  8  4 10
 [79417]  5  7  6  4  7  4  4  7  6  5  6  7  3  2  8  7  4  5  6  4  6  7  8  7
 [79441]  7  8  5  8  5  5  4  6  5  5  4  5  7  8  8  4  5  5  5  9  8  7  6  7
 [79465]  8  8  4  5  5  6  6  7  7  7  4  6  6  6  6  7  5  5  4  6  6  6  7  5
 [79489]  5  4  8  7  3  6  4  6  7  7  6  7  9  5  7  6  7  3  4  2  5  3  9  7
 [79513]  6  7  7  4  3  7  5  6  7  8  6  6  7  4  6  7  7  8  6  3  7  5  5  7
 [79537]  4  9  3  4  9  8  4  6  4  7  5  7  6  6 10  4  7  8  7  3  4  5  5  6
 [79561]  9  6  3  7  5  4  6  5  5  5  3  9  5  6  2  6  8  7  7  7  7  7  5  6
 [79585]  6  4  5  8  9  9  8  7  7  6  6  5  4  6  5  6  5  7  6  5  6  9  7  6
 [79609]  9  7  9  7  9  6  7  7  4  7  9  7  8  7 10  2  8  7  4  8  6  4  7  7
 [79633]  4  5  2  6  5  8  6  7  9  4  6  8 10  9  5  5  6  4  8  6  8  2  6  5
 [79657]  6  6  8  6  6  5  7  6  7  7  5  6  5  5  5  6  6  6  7  7  9  5  4  6
 [79681]  5  6  8  3  7  4  5  6  8  8  7  6  6  6  5  5  4  7  4  5  9  6  7  6
 [79705]  6  7  6  5  4  5  7  4  2  6  5  8  3  7  6  5  8  6  6  8  6  5  5  4
 [79729]  7  7  6  8  5  6  5  7  4  5  5  5  6  2  4  5  6  7  5  6  7  4  9  4
 [79753]  2  4  7  6  6  8  2  8  3  5  4  7  5  7  5  4 10  7  7  9  5  8  4  3
 [79777]  7  6  7  5  4  5  4  6  4  6  7  5  6  6  4  7  6  5  8  5  7  8  7  4
 [79801]  3  8  5  6  7  4  4  9  9  7  7  4  7  6  6  7  7  5  6  3  8  4  7  9
 [79825]  6  4  7  5  4  7  4  5  4  3  7  5  4  5  7  6  8  7  8  7  6  6  6  2
 [79849]  7  5  5  4  9  6  6  6  5  6  6  4  7  4  8  5  7  5  6  8  9  7  3  5
 [79873]  7  6  8  6  6  4  9  8  6  6  5  5  6  5  7  7  8  9  6  4  6  3  4  7
 [79897]  4  5  5  6  4  6  4  7  6  7  2 10  3  4  4  7 10  5  7  5  5  6  7  8
 [79921]  6  7  6  5  6  5  6  4  9  8  6  9  5  6  6  6  7  7  7  4  6  7  8  7
 [79945]  3 10  5  7  5  5  6  8  5  3  6  5  6  5  5  6  7  5  6  6  6  7  8  5
 [79969]  6  5  3  6  6  4  5  8  7  6  6  4  5  6  5  4  7  5  6  6  4  8  6  7
 [79993]  4  2  4  7  6  6  8  6  6  6  7  6  8  5  4  6  5  6  5  9  7  5  2  5
 [80017]  7  5  6  5  5  6  6  8  4  7  6  6  7  6  5  7  7  5  6  4  7  4  5  9
 [80041]  6  7  7  4  6  6  8  5  4  6  7  6  6  5  4  7  4  8  3  8  8  7  7  4
 [80065]  6  5  5  6  5  8  6  5  6  8  6  4  2  7  7  5  7  5  7  7  7  5  4  6
 [80089]  9  3  8  7  5  5  5  7  6  6  3  9 10  7  8  4  5  7  6  3  5  7  5  6
 [80113]  4  6  3  6  7  5  8  5  6  4  6  5  6  6  9  7  4  8  5  3  8  5  6  7
 [80137]  5  6  8  4  6  6  6  6  4  7  7  6  4  6  4  6  5  7  4  7  7  9  8  7
 [80161]  8  5  5  7  6  4  7  7  8  5  7  6  6  2  6  5  5  6  4  5  5  3  3  7
 [80185]  8  8  5  5  5  5  7  5  8  6  4  4  7  6  8  6  2  8  5  5 10  5  7  7
 [80209]  6  7  6  6  6  5  5  9  6  5  7  6  6  6  5  6  4  6  6  6  6  5  6  4
 [80233]  5  7  7  7  9  7  5  6  8  6  4  8  5  6  6  8  4  5  8  6  5  5  5  4
 [80257]  4  7  8  6  7  6  6  5  4  6  9  4  6  7  5  7  4  5  5  7  7  6  6  6
 [80281]  6  3  3  9  5  8  7  6  6  5  4  7  5  4  6  3  9  4  6  9  5  8  5  4
 [80305]  7  6  5  4  6  7  5  7  5  8  7  5  6  4  8  6  6  6  5  7  6  7  8  4
 [80329]  7  5  6  6  7  7  5  6  7  6  7  5  8  4  7  6  9  5  6  7  6  4  7  6
 [80353]  5  7  7  6  4  4  6  9  7 10  5  5  5  3  5  7  4  8  8  8  7  6  6  8
 [80377]  7  8  3  5  4  3  7  8  7  8  8  7  5  6  5  5  7  4  8  6  6  6 10  7
 [80401]  5  7  6  3  8  6  6  6  4  6  6  5  3  7  7  8  7  5  6  9  4  6  5  7
 [80425]  6  5  7  5  6  7  6  3  8  4  4  6  6  7  5  6  4  5  6  7  7  7  7 10
 [80449]  6  8  5  7  5  7  7  7  7  7  7  5  8  7  8  5  5  5  6  2  3  9  9  4
 [80473]  5  7  4  6  8  7  5  7  6  6  5  7  9  6  3  7  7  8  6  7  3  6  5  7
 [80497]  8  4  7  7  6  5  8  4  4  6  8  5  8  7  6  1  8  3  7  6  4  7  4  6
 [80521]  5  8  8  6  4  7  6  7  8  7  6  7  6  6  5  5  5  6  8  5  9 10  6  7
 [80545]  8  4  4  7  4  5  6  5  7  7  5  4  6  8  8  7  7  4  3  7  8  8  7  7
 [80569]  7  4  4  7  5  6  8  6  4  5  4  7  7  7  5  6  7  6  4  5  6  5  6  7
 [80593]  6  7  5  5  7  4  6  6  6  8  5  3  3  6  7  3  5  4  3  5  6  7  5  7
 [80617]  6  8  5  5  3  4  8  5  5  4  5  5  3  4  5  4  6  5  5  8 10  2  5  6
 [80641]  4  7  5  5  6  1  5  5  5  6  9  7  6  9  7  9  5  5  5  8  7  8  4  3
 [80665]  8  4  8  6  6  6  5  3  9  6  7  7  9  9  5  5  7  6  7  7  4  8  6  7
 [80689]  7  6  7  5  8  5  8  5  6  5  7  4  4  8  8  7  3  7  4  4  5  8  7  4
 [80713]  4  6  6  5  4  6  7  6  5  7  5  6  6  8  7  6  4  5  3  7  6  8  6  5
 [80737]  7  6  5  5  3  6  5  3  7  5  5  5  6  7  6  6  5  3  9  3  5  6  6  9
 [80761]  3  4  7  2  4  5  3  8  6  8  6  4  6  4  5  4  8  4  7  6  4  5  6  6
 [80785]  6  4  4  6  6  5  5  7  4  6  7  8  5  6  7  5  3  4  5  9  7  7  3  7
 [80809]  6  7  7  9  4  6  3  7  7  6  6  6  5  6  6  6  7  6  6  6  6  9  5  7
 [80833]  4  4  4  7  5  9  6  6  5  8  5  3  6  8  6  6  5  9  4  8  6  6  4  6
 [80857]  7  6  7  6  5  6  4  6  6  2  8  5  8  3  8  6  6  9  7  7  8  5  7  5
 [80881]  5  9  8  6  4  6  5  8  6  5  7  5  7  7  4  7  5  7  5  6  5  8  3  8
 [80905]  7  8  7  7  5  7  4  7  5  7  4  8  5  9  7  5  4  7  8  5  7  7  7  4
 [80929]  5  9  6  9  6  7  8  4  7  5  5  5  5  7  5  8  4  9  6  5  4  6  6  5
 [80953]  6  8  9  6  5  5  6  7  3  6  8  8  9  4  5  8  6  7  3  8  5  7  5  6
 [80977]  3  4  9  5  4  4  9  6  7  3  5  7  5  5  6  4  5  6  5  5  8  6  9  5
 [81001]  5  6  5  6  7  5  3  6  8  6  9  5  7  6  8  7  6  6  7  8  6  4  8  6
 [81025]  3  8  8  5  8  6  6  5  6  7  7  7  5  8 10  9  3  8  5  3  6  6  9 10
 [81049]  6  4  6  5  5  6  7  7  6  8  6  5  7  6 10  8  8  7  7  7  7  4  6  7
 [81073]  6  6  5  5  7  7  9  3  7  7  6  6  8  5  6  7  9  4  6  5  2  8  8  9
 [81097]  7  4  5  8  5  7  5  9  8  5  8  6  4  6  5  4  7  8  7  7  7  7  6  8
 [81121]  5  8  5  6  9  6  6  8  5  8  8  7  9  8  7  6  6  6  5  8  7  4  7  6
 [81145]  9  6  7  3  6  5  4  6  4  5  6  6  6  7  6  3  6  6  9  6  7  8  6  4
 [81169]  6  9  4 10  8  7  5  7  4  8  7  7  4  8  4  6  7  7  7  6  6  5  9  6
 [81193]  7  6  3  4  6  5  6  5  4  5  6  5  7  7  5  5  8  5  7  3  5  8  5  6
 [81217]  6  7  5  5  6  7  3  6  7  6  6  8  3  8  6 10  6  5  4  5  6  8  8  5
 [81241]  3  7  7  8  5  8  4  7  8  7  8  8  5  8  7  5  7  7  5  6  6  4  5  5
 [81265]  7  7  7  7  8  6  7  7  6  5  6  6  6  7  4  6  6  9  5  6  6  7  5  6
 [81289]  6  7  8  5  4  8  7  7  6  4  7  5  8  7  7  6  8  5  7  6  8  6  5  7
 [81313]  5  7  6  8  6  7  6  5  7  5  3  7  6  7  6  8  7  6  8  3  6  7  7  5
 [81337]  5  6  8  4  6  5  6  8  5  5  7  7  6  6  4  6  9  6  7  6  5  7  6  6
 [81361]  6  6  5  5  7  6  6  5  7  5  9  5  6  5  8  7  5  7  8  4  9  5  6  4
 [81385]  3  9  5  7  6  7  3  7  7  7  7  5  6  4  8  2  7  5  7  6  8  5  5  5
 [81409]  6  5  7  3  5  6  4  7  6  2  7  7  6  7  6  8  6  6  4  8  6  4  6  6
 [81433]  3  6  7  6  4  6  8  6  8  6  6  5  7  7  4  8  9  8  7  5  8  7  5  7
 [81457]  5  7  4  6  5  6  6  9  7  6  7  7  5  8  3  6  6  4  7  6  8  8  7  8
 [81481]  5  9  7  7  9  7  7  6  8  5  5  6  7  7  4  6  5  6  7  6  4  3  7  5
 [81505]  2  5  4  6  6  5  5  5  7  7  4  3  8  5  7  8  5  6  7  5  5  6  6  4
 [81529]  7  7  6  6  6  8  5  7  6  4  6  7  8  6  9  5  4  6  4  3  3  3  7  4
 [81553]  5  7  6  5  7  7  4  6  4  6  5  7  6  4  6  7  7  6  6  4  6  7  7  7
 [81577]  6  7  7  6  5  6  5  5  7  5  7  6  8  6  8  8  5  7  6  8  4  6  8  6
 [81601]  6  7  7  5  7  8  6  4  6  5  6  4  5  8  6  6  6  9  7  7  6  4  6  4
 [81625]  7  7  5  5  6  3  5  5  4  3  7  7  7  4  4  5  4  5  6  3  3  5  4  6
 [81649]  3  6  7  4  5  5  3  4  5  2  4  7  8  6  5  6  7  7  8  7  6  7  6  6
 [81673]  5  7  7  8  8  7  8  5  3  6  9  9  8  5  8  7  4  6  9  7  6  4  5  5
 [81697]  8  6  3  5  7  7  3  6  4  6  6  5  5  8  8  7  6  8  5  6  4  5  6  5
 [81721]  5  7  7  7  3  9  8  3  4  5  8  6  7  5  8  6  8  7  7  4  6  4  4  7
 [81745]  5  7  3  3  7  7  6  6  9  8  4  5  5  5  5  7  7  5  4  6  6  5  6  8
 [81769]  7  6  7  8  7  6  7  8  7  3  6  5  7  3  3  6  6  6  6  7  9  6  5  4
 [81793]  7  7  7  6  5  5  8  5  5  8  6  6  8  7  5  4  5  6  8  6  5  5  6  8
 [81817]  8  7  7  5  7  7  7  7  6  5  7  6  5  3  6  7  5  6  6  3  3  6  3  7
 [81841]  7  2  4  3  9  4  9  8  6  5  5  8  7  5  5  2  5  3  5  5  4  7  6  6
 [81865]  6  3  7  6  8  6  5  8  4  6  5  7  9  3  4  4  5  5  8  4  6  6  8  5
 [81889]  4  7  2  7  3  6  9  4  6  9  5  7  6  5  5  4  7  4  8  9  6  5  7  5
 [81913]  7  7  6  9  7  7  4  8  5  7  7  4  9  8  6  5  6  8  6  8  4  5  8  8
 [81937]  5 10  3  6  7  7  8  5  5  7  4  7  5  6  6  8  6  8  8  6  7  7  5  6
 [81961]  6  7  4  4  5  8  5  4  5  7  3  5  5  5  7  6  8  6  4  7  6  6  6  6
 [81985]  6  5  6  5  8  7  4  3  5  7  6  7  9  6  7  6  9  8  7  5  8  5  4  8
 [82009]  6  7  5  7  8  4  7  5  9  5  8  6  7  5  6  9  3  3  6  6  7  6  4  8
 [82033]  6  6  7  8  6  9  7  5  3  3  6  8  8  8  5  8  6  5  7  7  7  6  8  6
 [82057]  7  6  5  8  5  6  6  7  6  4  9  6  8  7  9  7  4  7  4  5  5  3  6  9
 [82081]  6  4  9  5  8  5  7  6  3  5  6  6  6  7  4  7  7  7  8  4  5  5  4  4
 [82105]  5  5  6  6  6  8  5  3  4  5  3  5  8  6  7  6  7  5  7  7  4  4  9  6
 [82129]  8  4  7  5  6  6  5  5  5  8  5  6  5  9  4  7  5  7  7  5  6  6  6  4
 [82153]  6  8  6  5  6  7  6  7  7  4  6  6  4  7  4  4  8  3  6  5  5  8  4  5
 [82177]  8  8  5  5  5  6  8  6  7  7  7  6  6  9  8  5  7  5  5  5  5  6 10  5
 [82201]  6  5  7  3  8  6  5  6  3  7  3  8  6  7  8  4  3  4  7  4  4  5  8  6
 [82225]  7  5  6  5  6  4  6  8  7  6  4  5  4  7  7  8  5  4  5  4  6  8  5  5
 [82249]  6  6  6  6  2  8  7  6  5  6  8  6  8  7  6  5  7  4  4  3 10  5  6  6
 [82273]  7  6  6  5  7  7  6  4  7  8  7  6  7  6  3  4  7  6  3  7 10  3  4  3
 [82297]  6  8  5  7  6  6  8  6  5  7  8  8  6  6  5  6  7  6  6  7  6  6  5  6
 [82321]  6  7  7  5  5  5  7  7  8  4  6  4  4  8  5  7  8  5  6  8  6  4  4  8
 [82345]  5  4  2  5  7  8  6  4  5  6  6  4  8  6  8  9 10  7  5  3  7  6  9  6
 [82369]  9  6  5  6  8  6  3  4  6  6  7  7  8  8  3  5  4  6  6  7  6  6  5  5
 [82393]  8  4  5  7  7  7  6  9 10  6  6  6  4  5  6  5  6  6  6  3  6  7  4  3
 [82417]  8  9  5  6  8  7  5  6  7  6  6  6  7  5  5  5  7  6  7  6  6  7  6  3
 [82441]  6  6  5  5  5  6  5  7  7  8  6  7  4  6  5  6  7  5  8  7  5  8  3 10
 [82465]  6  7  9  6  8  5  9  6  5  7  5  5  3  4  7  5  7  4  7  5  7  8  5  7
 [82489]  4  5  5  5  7  6  5  4  8  7  6  5  5  6  6  8  7  7  9  9  6  5  7  3
 [82513]  6  7  7  7  6  7  2  7  7  9  7  4  9  6  8  8  4  4  7  4  6  6  6  6
 [82537] 10  6  7  5  4  7  7  6  7  5  9  6  6  8  3  6  9  7  9  8  9  7  6  5
 [82561]  6  7  2  6  5  7  5  6  7  6  5  8  3  8  2  7  6  6  4  6  7  4  6  9
 [82585]  4  6  7  4  5  6  5  5  5  8  5  7  6  5  7  7  6  4  7  6  5  6  4  7
 [82609]  3  7  7  5  3  3  8  9  4  8  5  6  9  7  7  5  8  8  5  9  6  6 10  5
 [82633]  6  5  5  7  6  6  4  5  5  5  5  4  7  7  6  5  6  8  5  7  7  7  6  6
 [82657]  6  6  6  7  6  5  8  6  4  7  6  4  8  8  7  6  5  5  6  5  8  5  6  7
 [82681]  4  5  2  8  4  8  5  8  4  7  5  5  8  6  5  8  7  6  5  4  6  4  8  4
 [82705]  6  4  4  5  4  5  7  4  7  8  5  6  6  6  5  4  5  5  6  8  8  8  5  6
 [82729]  5  8  5  5  5  8  7  7  8  5  5  5  6  8  5  6  6  5  7  6  8  6  6  6
 [82753]  6  5  5  4  7  8  4  5  7  7  5  6  5  6  8  6  8  7  7  7  6  6  6  8
 [82777]  7  9  7  8  4 10  6  6  5  3  4  4  2  2  6  7  4  6  9  8  7  7  5  5
 [82801]  7  6  7  6  7  5  4  5  4  7  5  7  8  5  6  6  7  6  8  7  5  6  4  4
 [82825]  4  7  8  8  8  6  7  4  6  7  6  6  6  7  6  5  6  6  6  5  7  6  4  6
 [82849]  7  7  7  8  5  6  4  5  2  6  3  6  6  6  7  5  6  3  5  3  6  4  7  6
 [82873]  4  7  6  6  4  6  6  4  4  4  7  6  7  5  8  6  8  8  4  7  6  9  5  9
 [82897]  4  8  4  3  7  8  5  9  4  4  8  8  4  8  5  5  7  5  5  7  7  6  7  5
 [82921]  6  7  7  4  5  4  6  6  5  6  6  7  5  3  7  3  7  8  9  5  4  6  5  5
 [82945]  5  7  6  5  5  8  8  6  5  8  5  6  7  8  5  4  7  5  8  5  5  5  6  8
 [82969]  5  7  4  6  5  8  8  7  6  8  8  5  4  9  7  7  6  2  6  9  4  7  5  6
 [82993]  8  7  6  5  4  8  7  6  9  5  4  7  7  7  6  7  5  8  6  5  5  7  7  8
 [83017]  7  5  3  7  6  5  6  6  5 10  6  3  3  5  6  7  4  4  9  6  6  8  6  5
 [83041]  5  4  5  4  7  5  4  6  8  6  7  4  7  8  6  2  8  6  6  6  6  8  8  6
 [83065]  8  5  6  7  6  4  6  6  8  5  5  6  8  7  6  6  8  7  6  6  7 10  6  6
 [83089]  7  6  5  6  5  7  7  4  8  6  8  5  6  3  5  6  5  5  5  5  5  5  7  7
 [83113]  5  5  7  5  3  6  5  6  8  4  6  6  4  7  8  5  5  2  7  6  8  5  8  9
 [83137]  9  4  8  3  7  5  6  6  5  6  8  7  3  5  5  5 10  5  7  8  9  7  7  5
 [83161]  8  6  5  8  7  7  9  6  8  7  4  5  3  9  7  4  6  7  8  6  9  4  6  4
 [83185]  5  3  6  7  6  7  8  8  7  9  8  8  6  7  4  5  3  9  5  8  5  6  4  8
 [83209]  7  4  8  5  4  6  7  7  4  7  8  6  7  6  7  4  7  7  8  5  4  6  7  6
 [83233]  5  6  8  5  5  5  5  7  4  7  6  5  4  7  8  5  7  5  5  7  5  3  5  4
 [83257]  6  6  5  9  5  5  4  8  5  8  6  3  5  5  8  8  8  7  6  2  5  5  8  7
 [83281]  6  6  6  8  4  5  7  5  7  7  7  3  5  8  4  6  3  3  6  5  6  5  9  3
 [83305]  5  6  7  6  3  7  2  6  8  9  7  4  2  7  7  8  3  7  6  4  4  5  7  7
 [83329]  5  6  6  4  7  8  4  7  4  6  6  4  6  7  5  7  7  5  9  9  7  5  6  6
 [83353]  5  3  7  3  7  8  6  6  6  7  7  5  3  4  9  7  7  7  2  5  7  5  7  6
 [83377]  2  4  6  6  5  7  5  6  6  9  7  6  7  4  6  6  5  8  7  6  6  5  6  6
 [83401]  5  3  5  9  4  8  2  6  6  6  6  6  2  6  7  7  6  7  7  7  6  4  5  7
 [83425]  5  6  4  7  5  5  7  5  5  8  9  7  4  4  7  6  7  4  7  5  5  5  6  7
 [83449]  4  6  5  4  8  5  4  7  5  5  7  6  6  8  5  5  8  4  6  8  6  6  3  4
 [83473]  5  6  4  8  6  7  4  4  7  4  6  7  4  7  7  6  5  5  4  5  5  7  7  5
 [83497]  6  8  6  6  7  7  8  3  4  6  8  4  5  8  4  5  6  7  7  6  9  4  7  6
 [83521]  6  5  6  5  7  5  4  6  6  5  7  6  7  3  5  8  7  6  6  7  5  6  7  7
 [83545]  5  7  5  2  9  6  6  7  7  8  6  8  4  6  8  4  7  5  7  4  6  9  9  6
 [83569]  6  6  3  8  7  5  5  6  5  7  9  7  5  8  9  6  2  6  7  7  7  6  6  7
 [83593]  9  4  6  6  5  8  5  7  4  6  3  6  7  7  6  4  7  9  8  7  7  8  8  7
 [83617]  8  4  6  7  6  9  8  5  6  6  7  4  6  4  8  5  7  6  6  5  7  7  7  6
 [83641]  5  4  8  7  6  2  7  8  4  5  8  8  4  8  9  8  7  8  7  3  6  6  6  3
 [83665]  7  5  4  7  7  6  8  3  6  7  7  5  7  9  5  6  8  6  8  5  4  8  7  5
 [83689]  5  8  6  6  8  6  5  4  7  5  8  6  6  8  8  7  6  7  5  7  7  9  7  6
 [83713]  5  4  5  3  5  5  6  6  7  6  5  5  5  6  6  4  7  2  4  7  8  7  6  8
 [83737]  6  5  7  7  8  7  5  4  5  4  4  8  8  6  6  5  7  5  4  8  9  5  6  6
 [83761]  7  6  4  6  6  5  6  6  7  4  5  8  6  5  5  8  5  5  6  8  7  7  6  7
 [83785]  3  6  6  4  8  6  5  6  5  5  5  8  6  8  6  6  8  6  6  8  4  5  5  5
 [83809]  6  7  4  7  7  5  1  7  6  5  4  7  7  5  3  8  9  5  7  4  3  8  7  5
 [83833]  4  1  7  6  6  6  6  4  5  6  6  4  7  6  6  5  6  7  6  7  5  6  5  6
 [83857]  6  5  4  7  5  7  4  3  9  8  5  6  7  9  6  5  6  6  6  4  5  7  6  6
 [83881]  6  8  8  8  6  8  8  5  4  4  8  8  5  7  5  8  7  7  9  7  9  4  6  5
 [83905]  6  7  5  7  6  5  6  7  5  8  6  7  5  8  3  7  7  6  7  5  7  3  3  5
 [83929] 10  4  3  5  5  4  7  6  6  7  3  4  6  4  6  7  7  4  7  7  8  5  7  7
 [83953]  7  5  9  6  4  4  8  7  6  7  9  6  6  5  6  7  7  3  8  8  7  6  9  5
 [83977]  4  4  6  4  7  3  7  6  4  6  7  7  6  7  6  5  5  7  5  7  6  3  6  5
 [84001]  8  6  3  3  7  6  5  6  4  5  6  4  8  7  5  4  7  5  5  6  9  6  7  8
 [84025]  6  8  7  8  5  5  5  6  7  5  7  7  5  5  3  8  5  7  6  8  4  8  8  4
 [84049]  4  7  4  5  6  8  7  5  8  5  5  4  5  7  6  3  6  5  4  5 10  4  6  6
 [84073]  6  6  4  6  5  6  8  5  7  6  8  8  7  5  5  6  6  5  6  8  5  7  7  6
 [84097]  6  8  8  4  6  7  5  7  5  8  7  8  5  5  7  5  6  7  5  4  7  8  6  5
 [84121]  5  7  5  7  4  7  7  7  6  4  7  6 10  8  8  8  4  4  4  5  6  3  5  5
 [84145]  6  5  7  5  8  6  6  6  5  7  7  6  8  4  6  7  8  6  6  6  6  4  5  5
 [84169]  4  4  6  4  6  6  5  6  6  2  6  6  6  6  8  8  6  8  7  5  7  4  5  6
 [84193]  8  5  5  6  7  7  9  4  8  5  4  7  6  7  4  7  7  8  3  7  8  7  8  8
 [84217]  8  8  6  4  4  6  6  6  4  6  6  3  8  7  4  4  7  9  7  5  6  8  9  8
 [84241]  5  6  4  8  5  4  7  6  7  6  5  6  7  4  8  5  6  9  8  6  4  5  5  5
 [84265]  8  5  6  6  5  3  6  8  5  7  8  4  5  6  8  4  3  6  6  6  6  5  5  5
 [84289]  5  7  5  7  5  6  6  9  6  5  8  7  7  6  7  6  3  7  8  7  4  7  5  8
 [84313]  6  6  5  5  9  4  3  4  5  6  4  6  8  6  7  8  8  6  6  5  4  5  6  5
 [84337]  2  6  5  9  7  3  4  8  6  7  5  5  9  6  5  6  5  8  7  5  7  5  7  7
 [84361]  8  7  9  7  7  6  3  5  3  5  9  8  5  3  5  5  7  6  6  5  7  4  8  7
 [84385]  6  6  6  7  5  7  5  5  5  7  7  5  7  6  4  6  7  5  4  8  7  5  6  6
 [84409]  6  7  9  4  5  6  9  7  4  8  7  8  8  5  8  7  6  2  8  5  6  7  4  3
 [84433]  7  9  6  4  6  3  9  7  4  6  3  5  4  7  5  4  7  8  8  6  5  5  8  6
 [84457]  7  6  6  6  2  5  7  4  7  9  6  9  7  6  8  9  5  7  8  7  8  5  8  6
 [84481]  5  5  6  5  5  3  6  3  5  8  2  4  5  4  8  6  6  6  9  8  6  6  6  8
 [84505]  5  6  8  7  6  4  7  7  4  7  7  7  6  8  6  7  7  9  7  5  6  5  7  3
 [84529]  7  5  6  6  5  7  8  6  7  5  2  7  6  5  8  6  5  5  4  5  3  7  6  6
 [84553]  5  3  5  7  7  6  7  5  8  6  5  6  4  5  4  3  6  5  6  6  5  9  8  3
 [84577]  6  6  6  8  6  5 10  8  6  6  8  3  6  7  5  5  5  6  8  6  6  6  8  6
 [84601]  6  3  5  7  6  6  5  4  6  7  9  6  7  5  3  7  5  3  6  5  6  5  5  7
 [84625]  5  6  3  7  8  4  6  5  5  8  8  9  6  7  4  4  7  5  6  8  8  7  7  2
 [84649]  9  8  6  5  7  5  9  5  7  8  8  2  5  9  6  7  6  8  8  7  6  8  6  7
 [84673]  5  5  6  7  7  5  7  5  6  7  5  7  3 10  3  7  6  8  4  6  8  3  6  9
 [84697]  5  4  4  8  5  5  8  6  6  6  6  5  3  5  6  6  6  5  8  9  5  5  6  9
 [84721]  7  7  5  5  6  4  8  8  6  5  5  5  7  9  5  7  6  6  5  6  7  6  7  6
 [84745]  6  6  6  6  6  5  7  7  4  8  7  9  5  6  7  6  6  6  9  5  4  7  6  6
 [84769]  6  6  5  6  4  4  8  7  2  6  6  6  7  2  7  6  6  8  5  7  8  8  5  5
 [84793]  8  4  3  5  4  6  8  5  5  6  6  8  6  7  3  7  4  5  6  4  6  6  6  3
 [84817]  6  8  5  8  5  8  4  3  6  5  7  8  6  8  4  8  6  6  5  6  8  7  5  7
 [84841]  7  3  5  6  6  6  8  8  9  7  4  6  5  6  6  6  5  8  6  6  9  6  6  3
 [84865]  6  6  5  6  8  7  3  6  7  7  6  5  9  6  5  8  6  6  8  4  7  7  6  3
 [84889]  4  7  7  6  5  5  9  5  7  6  6  7  5  5  5  3  3  6  6  6  5  5  4  7
 [84913]  6  5  7  8  7  4  6  5  3  5  6  6 10  7  9  5  5  5  4 10  4  6  8  7
 [84937]  7  6  5  6  7  6  7  4  7  4  8  9  4  4  6  5  6  4  6  7  6  5  6  4
 [84961]  5  7  6  6  4  7  7  5  7  8  7  5  6  3  5  5  6  8  6  6  5  6  8  6
 [84985]  4  5  5  4  7  5  5  5  7  7  6  4  5  5  6  7  7  7  6  4  8  5  7  6
 [85009]  8  6  7  4  3  6  7  6  3  6  5  4  5  3  5  6  8  7  6  5  5  6  7  7
 [85033]  6  4  6  7  7  5  5  8  6  7  9  8  5  5  5  8  3  6  2  6  6  9  4  7
 [85057]  8  6  7  8  6  5  4  6  6  5  5  7  4  8  5  7  3  5  5  5  7  6  6  7
 [85081]  7  5  4  8  3  7  4  8  3  8  7  7  7  8  7  8  4  7  5  7  7  5  7  8
 [85105]  4  7  4  8  6  7  8  8  7  5  7  6  7  7  8  8  5  7  4  8  3  6  6  6
 [85129]  7  6  4  9  6  6  2  7  6  4  5  3  7  6  5  5  5  6  4  8  7  5  7  4
 [85153]  7  6  6  4  7  6  7  6  5  6  7  4  7  6  5  5  7  5  3  4  8  6  6  6
 [85177]  5  6  4  5  6  7  7  7  4  6  8  6  5  5  6  4  6  4  7  6  4  8  4  4
 [85201]  7  5  4  5  7  5  9  7  5  5  4  6  5  6  7  6  7  5  5  6  5  4  8  6
 [85225]  3  5  3  8  4  5  7  9  4  7  6  8  7  6  6  6  8  4  6  8  8  6  5  6
 [85249]  3  6  5  5  4  6  8  5  6  4  5  4  9  7  4  6  4  6  6  6  5  7  5  4
 [85273]  6  5  4  8  7  7  5  4  8  6  7  2  4  6  6  5  6  3  5  5  4  8  5  6
 [85297]  7  3  7  3  5  4  7  3  3  5  6  5  6  7  7  7  8  7  6  6  3  4  5  7
 [85321]  7  4  4  5  6  8  6  7  5  8  4  3  7  5  4  6  3  6  7  6  4  4  6  6
 [85345]  7  6  6  4  6  8  2  3  7  7  4  6  3  5  7  6  4  5  7  5  4  5  7  5
 [85369]  8  4  6  7  5  5  9  5  6  6  4  6  6  7  5  4  6  8  7  5  4  1  6  3
 [85393]  8  9  7  4  6  4  6  6  7  5  7  6  6  4  8  6  6  7  7  7  5  6  6  7
 [85417]  4  6  7  6  8  6  4  6  8  9  5  4  4  7  7  6  5  6  6  4  3  6  8  4
 [85441]  7  5  7  4  7  6  9  6  5  7  5  5  4  4  5 10  8  8  9  6  7  4  8  7
 [85465]  6  7  5  5  4  4  6  2  6  8  4  5  6  8  5  5  6  5  5  4  4  6  9  5
 [85489]  7  3  5  8  7  5  5  6  6  7  8  7  7  7  4  6  8  7  8  3  6  3  6  5
 [85513]  8  7  7  8  4  7  8  7  7  7  4  7  8  9  9  4  7  6  5  4  7  7  4  5
 [85537]  3  5  6  7  8  7  5  5  6  6  4  6  7  9  8  5  5  7  7 10  9  7  7  6
 [85561]  7  6  7  8  6 10  9  6  7  5  8  6  8  4  7  7  6  6  7  4  7  7  7  4
 [85585]  7  6  7  8  4  6  8  7  9  5  8  7  8  5  6  8  6  4  6  8  6  6  5  8
 [85609]  8  6  8  6  7  6  9  6  5  4  8  6  3  5  6  6  2  6  8  6  8  5  6  7
 [85633]  6  5  8  6  8  7  4  7  8  8  5  7  7  7  7  3  4  3  5  5  5  6  7  4
 [85657]  6  9  2  9  5  8  7  5  7  8  6  4  6  5  8  8  8  6  5  5  7  8  8  6
 [85681]  5  4  6  5  4  7  7  5  5  6  6  8  8  3  8  6  5  6  6  7  5  7  5  6
 [85705]  6  6  9  5  7  8  8  6  7  4  7  5  5  7  5  4  5  6  8  2  7  8  5  6
 [85729]  5  6  7  7  7  5  7  6  7  7  8  6  6  5  5  6  6  6  7  5  3  7  4  5
 [85753]  5  7  4  5  5  6  7  5  7  5  8  9  5  4  5  7  4  4  8  6  5  5  7  7
 [85777]  6  6  6  5  6  7  5  9  5  7  7  7  6  8  5  7  6  3  6  7  8  5  3  6
 [85801]  7  6  6  8  8  5  6  4  6  7  6  4  6  5  9  7  6  6  4  4  8  6  7  7
 [85825]  7  6  7  7  8  7  8  4  8  9  5  5  7  5  6  6  6  6  7  7  8  5  5  8
 [85849]  6  7  4  6  4  7  6  7  8  5  6  6  8  5  6  7  7  2  6  5  4  5  8  4
 [85873]  8  6  8  7  7  7  5  6  5  7  6  6  6  8  6  8  5  5  7  5  6  5  3  7
 [85897]  5  5  4  6  4  7  7  8  7  2  8  7  7  7  3  5  5  4  7  8  6  6  6  7
 [85921]  8  6  7  7  7  4  8  4  7  5  6  6  6  3  7  8  7  6  8  6  4  5  6  6
 [85945]  6  9  5  7  4  5  6  5  4  7  8  6  8  4  3  6  5  5  9  3  5  7  6  7
 [85969]  7  4  9  8  8  6  4  7  8  5  3  4  8  6  4  8  6  5  7  7  3  8  8  6
 [85993]  7  9  8  5  9  4  2  6  9  7  5  6  6  6  7  9  8  8  3  7  7  8  4  6
 [86017]  8  7  6  7  5  4  7  5  8  5  8  6  6  6  6  7  7  4  3  5  4  8  8  4
 [86041]  6  5  8  6  6  6  8  4  4  5  5  4  8  7  6  7  7  9  8  5  8  6  5  5
 [86065]  5  6  7  8  7  9  5  6  3  6  9  5  7  6  5  5  5  9  7  5  8  7  4  5
 [86089]  4  5  6  7  7  6  6  6  8  8  7  8  4  7  6  6  4  7  4  2  7  9  4  7
 [86113]  7  6  7  5  6  7  6  6  5  8  6  7  7  5  5  6  5  4  5  6  4  7  3  7
 [86137]  7  5  8  5  4  5  7  5  5  7  4  6  4  8  5  5  4  8  6  6  6  5  6  7
 [86161]  8  3  7  5  6  7  7  6  7  8  8  2  6  5  5  7  4  2  4  6  5  8  4  6
 [86185]  4  7  5  6  5  4  5  2  6  3  6  4  5  4  4  6  2  7  6  5  7  6  6  3
 [86209] 10  4  6  6  8  6  4  6  6  6  5  4  7  5  7  4  6  7  6  6  8  4  4  6
 [86233]  6  5  8  6  6  6  6  9  9  7  5  7  6  6  6  7  5  4  7  4  7  7  6  5
 [86257]  8  6  4  6  6  8  5  8  5  7  9  6  6  8  6  8  4  8  7  8  7  6  9  8
 [86281]  6  5  6  5  7  5  4  6  2  5  6  7  6  5  8  6  4  6  5  7  6  6  5  5
 [86305]  7  6  6  7  7  8  7  7  7  5  3  3  6  5  6  6  5  8  3  5  5  4  7  6
 [86329]  5  6  6  7  6  4  6  6  5  5  5  6  4  4  9  4  6  8  5  5  7  8  7  7
 [86353]  5  6  8  5  6  8  4  6  5  4  6  5  5  7  4  5  6  5  7  7  4  6  7  6
 [86377]  9  9  7  8  2  3  8  8  3  4  3  7  7  5  6  5  5  6  6  5  5  6  7  7
 [86401]  5  8  4  7  8  6  3  6  5  6  2  5  7  5  6  7  7  6  4  2  4  5  4  6
 [86425]  5  5  7  4  6  8  4  7  6  7  7  3  6  6  5  6  4  6  8  6  5  5  5  7
 [86449]  6  7  5  7  4  8  6  7  6  7  6  7  7  8  8  8  5  2  7  4  4  6  5  5
 [86473]  4  7  7  4  5  7  4  6  5  9  3  6  5  8  5  5  7  5  8  7  7  6  8  4
 [86497]  4  7  7  4  5  6  6  5 10  7  5  5  7  5  6  7  8  8  6  7  8  6  7  7
 [86521]  9  8  6  6  7  8  5  7  5  8  6  6  4  5  4  5  4  6  5  6  9  5  8  8
 [86545]  7  6  6  6  8  6  6  8  8  3  5  7  6  3  8  5  6  3  6  8  5  7  8  3
 [86569]  5  5  7  7  5  7  8  8  7  6  3  5  4  7  5  7  7  5  8  4  6  8  6  6
 [86593]  8  7  6  5  9  5  5  8  7  8  5  7  8  8  6  7  6  8  6  5  6  6  5  7
 [86617]  5  5  7  5  5  5  5  3  8  6  7  6  4  5  8  6  8  7  6  3  4  9  5  6
 [86641]  5  8  7  5  7  5  6  5  7  5  9  6  7  6  4  5  6  4  6  6  5  8  7  7
 [86665]  7  7  5  7  6  6  7  6  7  3  6  6  8  5  6  9  8  5  4  4  7  7  4  4
 [86689]  5  3  5  5  5  9  8  3  7  7  5  4  5  6  5  5  7  5  7  7  6  5  9  6
 [86713]  5  6  5  7  8  6  7  7  6  7  5  7  4  4  7  6  5  5  3  4  5  7  5  6
 [86737]  5  7  7  6  6  3  9  8  6  7  6  4  4  7  5  6  4  6  7  7  7  6  7  6
 [86761]  7  7  7  7  6  7  7  7  6  6  5  5  6  7  7  7  5  7  6  5  6  6  5  4
 [86785]  4  5  7  7  6  7  6  6  4  7  8  4  8  6  3  3  8  5  8  5  7  6  8  7
 [86809]  5  4  8  5  7  7  7  9  9  5  6  4  7  5  5  7  7  8  5  8  4  5  6  6
 [86833]  7  6  6  4  8  5  3  5  9  5  6  4  7  5  7  5  6  9  8  4  8  6  7  7
 [86857]  6  5  7  7  6  5  6  7  5  7  4  9  5  7  7  6  6  4  6  8  7  7  7  5
 [86881]  6  6  4  7  6  3  8  6  7  6  6  7  6  8  6  4  6  9  6  7  7  6  8  6
 [86905]  3  6  3  8  7  5  6  7  7  6  8  6  7  6  4  7  7  5  8  2  7  4  6  6
 [86929]  5  7  7  4  6  9  7  9  7  5  5  8  4  6  6  5  6  4  5  5  5  7  5  7
 [86953]  7  6  5  9  3  8  6  5  5  4  4  5  8  7  6  3  7  7  5  4  4  7  7  6
 [86977]  5  4  7  4  7  5  5  5  5  6  6  7  6  6  6  4  8  7  6  7  2  5  7  8
 [87001]  6  5  8  7  6  7  9  5  6  7  4  5  6  7  7  7  8  4  7  6  7  8  5  6
 [87025]  6  6  9  9  7  6  6  5  5  7  6  6  6  6  5  7  6  8  7  7  5  4  7  3
 [87049]  8  8  4  5  5  6  6  5  7  5  5  5  6  7  8  3  6  4  5  5  4  8  7  7
 [87073]  8  7  4  7  7  7  6  8  5  5  7  5  5  3  5  5  7  5  6  4  7  3  6  7
 [87097]  7  6  6  3  6  7  6  8  5  7  6  7  6  7  5  5  8  6  5  6  6  6  7  5
 [87121]  9  6  6  6  7  9  3  6  4  6  4  5  4  4  5  5  6  8  5  7  5  5  6  8
 [87145]  5  5  5  7  6  7  8  5  8  6  8  5  3  8  6  7  5  5  5  7  4  7  4  7
 [87169]  5  7  6  7  7  6  8  6  5  7  5  5  6  8  6  3  6  6  6  4  4  5  4  6
 [87193]  8  5  2  4  8  7  3  6  9  6  5  5  7  4  6  4  7  6  4  8  7  8  5  5
 [87217]  5  9  5  4  5  3  7  6  5  7  8  7  7  7  5  6  8  8  8  6  6  5  5  9
 [87241]  7  5  5  3  9  7  6  8  5  8  5  8  6  7  7  7  7  6  5  4  8  4  7  5
 [87265]  7  5  5  7  6  5  7  5  6  4  7  5  6  8  4  6  2  3  5  6  7  6  6  6
 [87289]  7  4  5  5  9  7  6  5  6  6  6  7  6  6  8  6  7  5  6  8  5  8  8  7
 [87313]  4  7  8  8  6  2  4  7  9  7  7  7  9  8  5  5  6  5  6  7  5  7  3  5
 [87337]  8  8  8  8  7  5  7  5  7  6  5  7  7  5  6  3  8  7  7  8  5  7  5  7
 [87361]  5  5  8  4  8  5  6  5  5  8  4  7  7  8  5  7  9  5  7  4  8  4  6  6
 [87385]  5  5  8  8  5  6  4 10  5  9  4  3  8  5  7  6  7  6  4  5  9  7  6  4
 [87409]  5 10  6  7  4  4  3  5  6  6  6  9  7  5  8  4  6  5  6  5  8  7  8  9
 [87433]  7  6  5  4  7  4  1  5  6  8  7  3  7  6  6  8  7  6  4  9  8  5  6  6
 [87457]  7  5  2  6  7  6  6  5  5  7  5  6  6  7  6  2  6  6  7  7  3  5  7  4
 [87481]  5  7  8  7  3  4  4  6  5  6  6  6  6  8  6  6  7  4  4  7  2  6  7  6
 [87505]  8  4  4  8  6  5  6  6  4  3  3  9  5  7  6  7  4  5  7  5  6  7  6  6
 [87529]  7  3  9  7  5  5  7  9  3  6  8  7  6  4  8  6  7  4  7  8  6  4  7  7
 [87553]  6  4  4  6  5  5  3  8  6  2  4  9  6  7  4  8  8  8  4  5  5  8  6  5
 [87577]  5  6  6  8  5  6  8  7  4  6  7  7  7  7  4  5  3  4  9  8  5  8  7  3
 [87601]  7  5  6  6  5  5  8  6  8  5  5  7  7  4  4  9  5  5  5  4 10  5  6  6
 [87625]  4  5  3  4  7  5  6  7  6  6  5  6  6  5  6  4  7  6  6  7  5  5  8  6
 [87649]  6  6  6  5  5  7  8  8  6  6  4  5  7  7  7  7  7  6  6  5  6  4  8  7
 [87673]  3  6  4  4  7  8  6  5  6  3  7  7  7  6  5  6  6  5  4  7  5  7  7  5
 [87697]  7  8  9  6  7  5  5  6  6  6  3  7  6  5  6  7  6  5  7  6  5  6  8  6
 [87721]  6  4  5  7  6  8  5  4  7  4  6  8  5  7  4  7  6  6  7  6  6  4  5  6
 [87745]  6  4  4  7  8  5  6  5  6  4  8  7  6  5  6  9  6  4  8  7  5  5  5  5
 [87769]  5  7  9  6  6  5  5  6  3  8  9  6  7  4  8  7  7  7  7  5  4  7  5  5
 [87793]  5  7  7  6  8  7  8  5  6  7  4  8  8  7  6  5  3  5  7  8  8  6  5  6
 [87817]  2  6  8  8  6  6  4  4  8  7  4  6  3  6  4  7  7  6  5  6  8  7  7  6
 [87841]  6  6  3  7  7  7  6  5  6  5  4  5  6  7  8  7  5  7  4  5  3  8  5  8
 [87865]  5  6  7  6  6  7  6  8  6  4  4  4  3  5  6  5  6  5  9  6  4  5  4  5
 [87889]  6  8  7  5  4  7  5  4  5  4  5  7  2  6  6  6  6  7  7  8  4  6  6  9
 [87913]  7  5 10  6  6  9  4  9  7  9  5  6  3  6  2  7  8  5  5  6  8  6  6  7
 [87937]  8  7  5  6  7  7  7  5  8  7  5  7  4  5  7  9  6  6  7  7  7  4  7  6
 [87961]  5  7  7  4  4  8  6  7  7  7  7  6  7  5  7  4  7  8  6  4  7  7  6  3
 [87985]  6  5  8  7  6  7  3  5  6  6  5  5  6  8  5  4  5  6  7  6  6  2  8  7
 [88009]  2  5  7  3  8  7  5  9  5  7  6  2  4  6  7  7  7  5  7  5  7  7  5  4
 [88033]  8  6  9  6  7  7  5  5  5  7  7  4  6  2  7  4  3  6  6  7  5  6  5  6
 [88057]  8  5  5  5  3  5  5  3  5  6  7  5  8  8  4  4  3  6  2  7  6  8  8  7
 [88081]  6  5  7  4  4 10  5  9  7  6  7  6  5  7  5  4  6  5  8  6  5  6  7  4
 [88105]  6  5  7  7  5  3  4  6  5  5  6  8  8  9  7  6  5  3  3  4  7  6  3  8
 [88129]  4  4  6  6  3  8  7  6  9  4  7  7  9  5  3  8  6  7  8  5  6  6  6  7
 [88153]  4  4  7  6  5  7  8  7  7  6  4  5  5  7  9  5  7  6  5  7  5  3  8  6
 [88177]  4  5  7  6  5  5  5  4  8  7  4  2  6  5  8  6  5  6  8  8  6  6  3  5
 [88201]  4  6  6  6  8  5  7  7  9  5  8  5  5  5  8  7  4  4  7  6  9  4  8  7
 [88225]  8  8  7  5  4  3  6  6  7  7  5  6  5  8  6  9  7  3  6  5  7  7  9  7
 [88249]  4  5  6  5  6  6  8  3  7  6  4  6  9  8  4  7  5  6  7  6  6  7  5  5
 [88273]  5  4  6  3  3  8  5  5  8  6  2  7  4  5  6  6  6  7  6  7  5  5  8  6
 [88297]  6  7  8  6  5  4  7  7  5  7  7  6  5  8  6  6  5  8  5  6  5  5  3  6
 [88321]  8  8 10  6  7  7  5  7  7  6  6  8  7  5  5  7  6  7  7  5  7  6  6  4
 [88345]  5  9  3  8  7  5  6  4  7  9  3  5  4  5  5  8  7  4  6  3  7  4  5  6
 [88369]  6  9  8  6  7  7  7  5  8  7  5  4  7  8  4  6  5  7  6  5  8  7  3 10
 [88393]  3  4  5  7  4  5  7  9  4  7  6  6  5  6  5  4  6  3  7  4  6  5  8  4
 [88417]  4  5  6  7  9  8  5  4  6  7  6  5  5  9  6  8  7  4  5  5  7  6  7  8
 [88441]  7  4  6  8  9  8  5  5  6  8  6  6  6  3  5  6  6  7  4  2  6  5  7  8
 [88465]  6  6  6  7  8  4  8  6  7  7  7  4  5  8  7  7  4  6  5  5  8  7  7  3
 [88489]  8  6  5  5  5  7  5  5  7  6  8  7  6  6  6  5  8  7  6  3  6  6  6  6
 [88513]  5  5  7  6  5  4  4  7  5  6  7  6  5  7  6  8  5  6  6  6  4  5  5  7
 [88537]  6  6  5  6  7  4  5  7  6  5  4  7  5  6  4  8  6  4  5  8  6  4  4  4
 [88561]  8  8  7  7  9  7  5  5  7  6  8  8  6  6  9  7  8  5  5  7  4  8  6  4
 [88585]  7  5  8  4  6  7  4  8  6  4  7  7  5  6  8  4  8  9  6  5  7  4  4  7
 [88609]  5  4  7  5  7  9  4  7  5  3  8  6  3  5  7  3  6  8  6  7  5  8  8  7
 [88633]  5  7  8  5  5  5  6  6  8  4  8  6  5  3  5  4  6  6  6  8  5  5  7  7
 [88657]  6  9  8  8  7  7  6  6  8  4  7  9  5  9  8  6  5  0  6  6  6  4  4  6
 [88681]  8  6  5  6  7  7  7  7  5  7  9  4  8  8  5  6  6  7  7  8  5  5  5  7
 [88705]  3  3  6  7  6  4  7  6  8  5  5  8  4  7  9  7  5  7  8  5  7  8  6  8
 [88729]  7  6  6  4  6  6  5  7  5  6  7  6  9  7  5  7  9  5  8  6  4  6  7  8
 [88753]  6  7  5  5  7  7  5  6  7  5  7  4  6  6  8  7  5  6  8  5  5  5  4  5
 [88777]  6  8  6  4  7  7  5  6  6  5  8  7  4  6  6  7  6  8  9  8  8  5  6  6
 [88801]  9  2  4  6  5  9  3  6  6  9  3  8  6  7  6  2  8  8  5  5  5  4  6  8
 [88825]  8  5  4  3  8  6  4  6  5  6  4  5  8  7  6  6  6  8  7  6  5  5  6  5
 [88849]  7  6  7  4  7  6  5  5  6  7  7  6  6  5  3  7  6  7  6  6  6  7  4  5
 [88873]  6  8  6  7  3  6  5  5  6  6  6  6  4  6  6  8  6  3  4  6  6  7  5  7
 [88897]  8  7  4  5  7  9  7  6  8  8  6  4  5  6  7  6  3  7  3  4  8  5  6  5
 [88921]  7  6  8  8  7  7  6  6  7  4  5  6  4  6  6  4  6  6  6  6  6  7  6  5
 [88945]  8  7  7  4  9  6  4  5  8  7  5  4  8  9  4  6  6  5  4  6  7  7  5  6
 [88969]  3  8  6  5  7  6  4  8  5  4  4  5  6  5  9  7  4  7  5  6  4  8  6  6
 [88993]  6  4  5  5  8  5  5  6  4  4  7  3  6  6  8  5  9  6  7  8  8  7  4  6
 [89017]  6  5  4  8  4  7  5  2  7  4  7  7  7  7  6  8  6  8  5  8  5  5  8  5
 [89041]  7  6  7  6  6  6  6  5  5  6  8  6  3  7  5  2  7  4  5  7  6  3  5  5
 [89065]  4  6  7  8  7  6  4  6  8  7  8  6  8  7  7  4  7  4  7  5  8  5  5  5
 [89089]  6  6  7  7  5  4  6  8  7  6  8  6  6  5  5  3  5  6  6  9  4  7  4  4
 [89113]  6  6  6  5  9  5  7  6  7  6  5  9  7  6  9  4  8  6  9  4  6  5  8  6
 [89137]  5  4  8  7  4  8  7  3  3  4  6  6  6  5  6  7  7  7  8  3  4  5  5  7
 [89161]  6  6  5  6  6  7  6  6  9  6  7  8  3  5  6  5  3  6  6  7  5  3  5  6
 [89185]  4  5  9  6  7  4  1  7  3 10  4  6  6  7  5  4  7  7  5  5  6  7  4  7
 [89209]  9  9  7  4  5  3  7  6  6  5  8  5  6  7  6  5  9  2  6  9  8  7  6  7
 [89233]  7  5  5  6  8  9  9  8  4  5  7  5  3  3  5  6  4  7  9  8  6  6  6  4
 [89257]  6  6  5  7  6  8  6  7  4  8  7  8  7  6  6  6  6  7  7  3  9  3  6  3
 [89281]  5 10  3  9  8  3 10  7  7  4  6  6  7  6  5  3  9  7  4  2  5  5  4  8
 [89305]  4  7  5  4  5  7  5  6  5  3  7  6  6  7  3  3  9  7  7  8  6  6  5  5
 [89329]  5  7  4  6  9  4  7  7  7  7  7  8  8  6  5  1  5  6  3  5  4  6  7  7
 [89353]  7  7  6  6  5  8  7  6  7  4  6  3  5  8  7  5  7  5  9  7  9  6  6  4
 [89377]  5 10 10  8  5  8  8  4  4  8  5  8  7  6  7  3  6  5  6  8  6  6  6  3
 [89401]  4  5  5  5  5  6  9  5  5  8  5  9  6  6  5  6  5  6  5  6  7  5  7  4
 [89425]  7  5  5  7  2  5  7  8  5  8  8  5  8  6  7  5  6  2  6  5  3  6 10  5
 [89449]  6  5  6  6  8  6  8  7  5  9  6  6  8  7  7  7  6  4  4  5  9  4  3  5
 [89473]  6  6  5  6  7  6  5  5  6  6  6  7  4  6  8  6  7  6  7  6  7  6  6  8
 [89497]  6  7  8  5  4  6  5  6  6  7  9  7  7  5  6  6  3  7  7  7  7  8  8  7
 [89521]  9  7  6  9  4  7  3  6  5  7  5  7  5  8  5  3  6  3  8  9  8  5  8  6
 [89545]  5  5  6  8  5  7  3  7  5  4  7  5  5  7  7  5  6  4  6  6  6  4  5  7
 [89569]  8  6  5  7  3  7  7  7  6  7  5  5  6  7  6  5  8  5  8  9  6  7  6  4
 [89593]  5  6  7  5 10  6  8  4  6  5  8  9  4  5  5  7  2  7  5  6  8  7  7  5
 [89617]  3  6  8  3  5  6  7  9  7  7  8  7  5  5  5  6  8  5  9  6  6  6  5  7
 [89641]  5  6  7  7  6  6  6  6  7  2  8  6  4  5  6  7  5  5  8  7  4  3  5  8
 [89665]  4  7  6  6  6  7  5  6  7  6  3  4  7  4  3  8  5  7  5  7  7  8  4  3
 [89689]  2  7  8  7  3  4  5  7  6  6  7  7  8  5  4  8  5  7  5  7  7  7  5  5
 [89713]  3  6  4  8  7  7  7  6  7  6 10  4  2  9  7  8  3  6  5  8  7  7  7  6
 [89737]  6  6  7  5  7  3  4  3  7  6  4  6  7  5  7  4  6  5  7  6  5  5  9  6
 [89761]  4  5  4  5  7  7  7  5  4  3  9  7  4  5  9  8  6  6  7  7  7  6  5  8
 [89785]  5  5  7  8  7  6  5  7  8  3  7  6  5  7  6  5  5  7  5  7  5  7  1  6
 [89809]  5  4  7  4  6  3  5  8  7  7  5  6  8  5  5  5  4  7  6  7  8  6  8  5
 [89833]  6  6  7  7  6  8  4  7  4  5  3  6  4  5  6  4  6  5  7  3  6  4 10  8
 [89857]  6  7  6  7  7  5  5  3  6  6  7  5  5  3  7  6  9  6  9  8  4  8  7  5
 [89881]  7  4  5  7  5  5  5  7  6  3  5  8  4  9  6  5  7  8  7  9  4  6  7  6
 [89905]  6  5  7  6  7  5  8  6  5  6  6  4  5  8  4  5  1  6  6  8  4  7  6  5
 [89929]  8  8  8  5  5  9  8  4  2  7  6  4  7  3  8  4  7  6  8  7  5  8  7  8
 [89953]  5  6  6  6  8  9  9  6  4  5  6  7  6  7  6  6  5  6  6  6  6  7  5  7
 [89977]  6  5  8  4  4  5  6  3  6  6  6  5  5  9  4  5  6  6  7  7  7  5  5  9
 [90001]  6  8  7  8  7  6  5  5  5  6  5  4  7  3  4  6  5  7  6  7  6  4  7  6
 [90025]  3  9  7  5  8  7  7  5  8  9  8  6  7  6  7  8  6  6  7  5  7  5  6  6
 [90049]  3  6  6  7  6  8  6  5  6  5  5  4  6  7  4  4  7  6  9  5  7  5  4  5
 [90073]  4  7  9  5  3  7  8  5  7  4  6  8  8  7  6  7  4  7  7  6  6  7  7  5
 [90097]  6  8  6  5  5  7  6  7  6  6  6  7  6  7  5  8  7  6  6  6  4  7  7  4
 [90121]  6  3  6  5  5  6  5  4  7  6  7  9  6  7  8  7  7  7  9  5  4  5  6  4
 [90145]  6  7  6  6  4  5  7  5  6  5  6  6  3  8  6  7  7  5  5  6  4  8  4  5
 [90169]  7  5  7  5  8  6  5  9 10  7  8  6  3  4  5  5  8  6  9  6  8  6  9  7
 [90193]  4  8  2  6  7  4  4  4  6  8  6  5  6  6  6  5  4  6  7  5  7  8  5  4
 [90217]  3  2  3  5  7  7  7  6  8  3  6  6  7  8  7  4  5  5  6  3  8  6  8  5
 [90241]  6  7  9  3  5  6  9  5  4  7  6  6  5  3  5  7  5  6  9  6  6  6  4  5
 [90265]  7  4  8  6  9  7  8  4  6  3  5  7  6  6  4  9  7  5  5  5  4  3  5  7
 [90289]  5  6  3  2  4  7  9  8  4  6  6  7  7  8  4  5  6  8  7  6  8  3  3  6
 [90313]  3  8  5  6  6  6  7  8  6  5  7  9  6  8  5  5  5  8  3  7  7  4  7  4
 [90337]  7  4  8  8  6  5  3  3  4  8  5  7  8  5  6  7  7  8  4  4  6  3  5  5
 [90361]  7  6  7  6  5  6  6  7  2  4  6  8  8  7  5  6  6  5  6  7  5  7  4  7
 [90385]  5  5  3  7  6  6  5  6  7  6  7  8  8  6  5  6  7  5  7  5  6  8  8  4
 [90409]  6  7  8  9  4  6  7  5  6  6  6  4  7  5  7  7  6  5  7  4  7  7  6  5
 [90433]  5  4  5  7  5  7  5  4  4  3  7  7  8  5  7  6  7  4  8  8  8  4  5  7
 [90457]  7  5  5  9  5  3  8  5  4  6  8  3  7  8  6  7  7  6  7  4  5  7  5  8
 [90481]  8  5  9  3  3  9  7  7  8  7  6  4  7  7  6  8  6  6  6  6  8  7  5  4
 [90505]  5  5  8  5  4  6  4  7  4  5  8  7  4  4 10  7  7  5  5  8  6  3  2  6
 [90529]  8  7  3  7  7  7  6  7  9  3  4  6  4  7  6  6  6  6  3  6  6  6  7  5
 [90553]  5  4  2  8  7  7  2  8  6  4  5  8  4  6  8  9  7  3  5  7  7  7  9  5
 [90577]  7  5  6  4  6  6  6  4  7  5  4  8  6  7  8  4  5  6  5  4  4  9  8  5
 [90601]  6  6  4  2  6  8 10  6  6  7  8  7  7  7  7  8  6  6  8  5  5  8  5  6
 [90625]  5  7  8  5  7  5  4  4  4  8  5  5  5  6  6  7  9  3  6  6  8  5  8  8
 [90649]  8  2  7  4  4  7  6  6  5  8  5  6  3  8  8  7  5  5  4  7  5  8  3  5
 [90673]  7  8  8  6  8  4  5  7  6  7  7  7  8  7  7  8  8  4  7  5  3  5  5  6
 [90697]  6  6  4  5  7  4  6  7  5  7  3  4  6  9  8  7  7  5  5  8  5  7  5  7
 [90721]  5  4  7  8  8  7  7  7  7  4  6  6  3  8  7  3  6  5  6  5  4  6  7  6
 [90745]  4  4  7  9  8  7  6  6  6  9  9  8  4  4  3  7  7  6  5  8  6  5  7  6
 [90769]  8  6  6  6  7  2  7  8  8  8  7  7  6  8  5  7  7  6  8  8  8  4  5  7
 [90793]  9  5  7  7  5  8  6  3  5  7  5  4  5  5  5  3  5  7  6  6  4  5  8  2
 [90817]  6  8  7  3  4  6  7  4  6  6  5  4  8  5  8  7  8  7  3  4  7  7  5  6
 [90841]  6  9  8  5  6  6  2  6  9  7  7  4  4  4  3  6  7  7  7  6  7  6  4  6
 [90865]  5  9  3  6  8  5  6  8  5  4  6  5  8  2  3  6  5  5  6  6  4  6  5  6
 [90889]  4  7  1  6  6  7  6  9  7  6  6  6  6  4  5  4  6  6  5  7  6  7  8  6
 [90913]  6  6  6  3  6  6  5  6  7  5  7  7  6  4  4  2  7  8  8  4  7  5  6  5
 [90937]  4  6  7  8  6  7  6  4  5  4  5  8  6  6  6  3  9  4  5  5  6  5  4  8
 [90961]  5  4  7  7  6  5  4  6  8  5  4  4  7  7  5  5  7  7  5  8  7  6  7  9
 [90985]  5  4  6  6  7  6  7  8  6  6  4  6  5  5  7  6  4  6  8  7  3  6  6  5
 [91009]  9  6  5  8  4  6  8  8  6  6  6  5  7  7  7  7  5  4  7  7  6  5  7  5
 [91033]  9  6  6  7  6  8  7  5  6  6  8  7  7  6  6  8  7  5  6  5  6  1  5  7
 [91057]  3  5  6  5  4  6  6  7  8  5  6  7  5  9  9  7  5  6  7  9  4  9  7  3
 [91081]  5  7  9  4  8  8  5  7  4  4  5  7  6  7  7  3  7  5  5  7  7  6  7  9
 [91105]  6  5  7  6  5  7  6  6  5  7  5  6  2  6  5  4  6  7  6  9  7  8  6  5
 [91129]  6  5  6  5  7  4  7  5  4  3  8  6  7  6  5  5  9  4  8  5  4  8  8  4
 [91153] 10  7  7  9  5  5  6  6  6  8  8  8  5  5  4  7  6  5 10  6  4  7  3  5
 [91177]  5  9  3  6  6  7  6  5  8  6  9  5  4  4  5  7  7  4  7  8  5  4  4  4
 [91201]  4  7  4  4  7  7  6  4  5  8  6  7  6  7  6  6  6  5  6  5  8  6  8  5
 [91225]  6  7  6  8  7  6  6  8  5  5  6  4  6  7  6  6  3  9  7  7  7  7  6  7
 [91249]  7  7  7  7  7  5  7  8  4  4  7  3  5  4  6  4  9  6  8  3  6  8  6  7
 [91273]  4  8  7  4  7  5  7  7  5  6  8  4  6  7  8  6  7  7  5  6  2  7  6  4
 [91297]  6  6  5  5  8  5  6  8  6  4  7  4  8  6  5  8  8  7  5  6  4  4  5  7
 [91321]  4  7  6  6  6  6  6  4  6  5  7  7  4  7  5  4  8  4  5  7  6  5  7  8
 [91345]  6  7  4  5  5  7  6  3  7  5  8  7  7  3  4  5  6  6  9  6  3  6  8  5
 [91369]  6  7  6  2  8  8  7  7  5  5  5  9  8  5  7  5  8  6  9  3  5  5  6  2
 [91393]  9  6  6  7  5  5  6  8  5  8  7  6  5  3  8  9  7  4  6  6  6  5  8  5
 [91417]  7  5  4  8  3  7  5  4  7  4  2  7  3  6  6  8  6  7  6  7  7 10  6  3
 [91441]  8  3  7  5  9  4  7  4  9  6  7  6  4  5  4  5  3  5  8  6  6  5  4  5
 [91465]  8  5  5  6  5  5  6  9  6  7  5  6  8  6  5  7  4  7  9  7  6  7  9  7
 [91489]  5  9  5  6  7  7  6  8  6  7  8  5  7  4  9  5  4  6  7  8  6  7  6  8
 [91513]  5  4  5  7  9  8  7  6  4  8  5  6  6  7  6  5  9  7  6  5  7  8  6  5
 [91537]  6  4  5  8  5  7  7  3  6  6  5  7  6  7  4  6  8  8  6  6  6  7  3  5
 [91561]  3  3  8  6  8  7  3  7  7  8  9  5  6  2  4  8  6  7  4  5  7  5  6  4
 [91585]  5  9  7  7  4  4  5  3  5  2  5  6  6  8  4  7  8  9  7  5  3  6  6  5
 [91609]  3  5  6  4  6  6  5  6  6 10  3  4  5  5  8  5  7  4  8  6  8  6  6  6
 [91633]  5  6  7  5  6  5  3  6  7  6  9  5  1  5  8  7  8  6  4  7  3  4  6  6
 [91657]  6  6  4  5  5  6  6  7  1  6  6  6  6  5  5  6  4  4  8  6  5  6  6  6
 [91681]  7  7  5  6  7  8  9  6  3  7  7  3  8  5  7  5  6  7  5  8  4  5  7  5
 [91705]  8  4  5  8  5  6  5  5  8  6  8  3  7  8  8  6  4  7  7  5  7  6  8  5
 [91729]  8  6  7  7  5  7  4  8  4  6  7  3  6  6 10  7  7  5  7  7  8  5  7  7
 [91753]  8  7  7  6  8  6  5  6  7  5  6  7  7  6  1  5  8  6  6  4  9  5  5  6
 [91777]  6  6  6  6  6  5  7  6  7  7  6  6  6  5  4  6  6  6  6  9  6  3  5  8
 [91801]  6  6  7  7  7  8  6  5  5  4  3  6  4  4  5  5  7  8  8  8  9  7  7  4
 [91825]  8  7  3  5  4  6  5  8  7  6  7  8  6  5  8  5  7  8  5 10  4  7  6  5
 [91849]  9  7  4  7  5  5  6  7  7  6  7  4  6  7  5  4  6  8  7  7  7  6  8  8
 [91873]  5  6  9  8  4  7  7  4  4  6  7  6  9  7  7  4  7  7  5  9  6  4  8  8
 [91897]  6  4  6  6  3  6  6  3  5  7  6  8  4  5  5  6  8  5  7  8  8  3  8  7
 [91921]  8  7  6  6  5  6  7  6  3  7  5  8  4  6  7  8  6  7  6  8  7  5  8  5
 [91945]  3  3  3  4  7  7  6  2  6  3  4  7  9  9  6  3  8  9  5  2  3  6  6  4
 [91969]  7  4  6  8  5  5  7  6  8  4  8  6  6  5  7  7  8  5  8  6  5  5  7  5
 [91993]  7  6  2  4  5  7  8  4  2  5  5  2  6  5  4  8  7  7  7  6  6  7  5  6
 [92017]  6  5  3  7  7  7  5  3  5  6  6  7  7  4  9  8  5  7  5  5  5  7  5  3
 [92041]  8  4  5  7  6  6  6  5  8  7  6  5  7  5  3  4  7  6  3  7  7  8  5  5
 [92065]  5  6  6  5  8  6  5  5  8  6  7  7  8  4  4  7  8  3  4  1  6  5  8  7
 [92089]  5  5  5  9  8  6  7  6  4  7  8  7  7  7  8  6  8  7  7  5  7  6  8  5
 [92113]  6  5  5  6  6  7  4  7  4  7  6  5  4  5  8  8  7  6  5  4  6  7  5  4
 [92137]  7  8  6  5  6  7  6  7  5  6  4  3  7  3  6  4  5  5  4  3  4  5  4  5
 [92161]  4  4  5  8  5  6  5  5  5  5  9  7  4  3  3  6  7  6  6  9  8  5  8  6
 [92185]  5  4  9  3  5  8  5  7  7  5  1  5  5  6  6  5  8  6  6  5  7  2  6  7
 [92209]  6  7 10  7  8  8  8  8  8  9  9  4  7  7  7  6  5  5  6  5  7  8  5  6
 [92233]  6  6  6  5  5  9  8  8  7  5  6  5  8  9  6  3  6  5  7  4  4  7  8  7
 [92257]  4  5  6  8  7  4  5  7  4  7  5  5  5  7  5  5  5  9  5  3  6  7  3  8
 [92281]  6  6  8  8  5  6  6  7  7  3  5  9  3  7  7  6  7  8  5  4  6  7  7  7
 [92305]  8  8  7  4  5  6  7  6  9  7  6  6  7  7  6  8  6  5  4 10  6  6  9  8
 [92329]  6  8  7  5  6  4  8  5  7  6  8  5  8  7  8  8  5  5  6  9  9  6  6  5
 [92353]  4  6  7  8  7  8  5  5  5  7  8  6  7  8  4  7  9  8  5  7  6  5  4  9
 [92377]  4  7  8  4  5  6  8  6  6  6  4  5  7  6  9  6  6  7  7  4  5  7 10  6
 [92401]  6  4  4  6  6  3  7  6  7  6  7  5  7  6  8  6  4  6  5  8  8  6  5  5
 [92425]  5  5  5  8  4  8  5  6  8  7  7  7  5  6  5  7  6  4  6  7  6  8  6  8
 [92449]  4  4  7  6  7  4  5  4  4  6  5  5  3  4  8  5  9  5  5  8  7  3  5  7
 [92473]  4  7  5  6  5  7  5  6  7  3  6  6  4  6  3  5  5  8  7  7  5  8  8  6
 [92497]  7  6  8  5  6  3  5  5  7  8  6  6  6  6  4  5  6  2  7  5  5  7  8  8
 [92521]  4  4  7  4  6  7  4  5  8  6  6  7  4  6  7  6  6  5  3  6  4  7  6  5
 [92545]  7  5  7  4  6  5  8  7  6  7  7  4  5  6  6  6  5  3  8  6  7  4  3  4
 [92569]  8  4  7  5  8  7  7  6  7  3  5  4  6  6  7  6  8  6  6  7  6  7  7  9
 [92593]  6  6  5  6  8  6  6  5  7  5  7  7  7  5  6  5  7  5  2  6  6  7  4  5
 [92617]  5  7  5  5  6  7  6  7  6  4  7  6  7  7  5  9  7  6  4  5  4  6  8  5
 [92641]  8  5  5  6  6  5  7  8  6  6  6  4  6  7  6  4  8  6  6  7  7  7  5  7
 [92665]  8  5  6  7  5  8  7  6  6  5  5  6  5  6  9  7  4  5  2  7  7  8  8  4
 [92689]  3  7  6  7  7  7  3  8  6  5  8  6  8  7  8  7  5  6  6  8  7  5  3  7
 [92713]  7  7  5  8  8  9  9  5  6  5  7  4  6  5  2  6  6  6  7  8  9  5  5  7
 [92737]  7  8  6  8  9  6  5  6  7  3  7  3  5  6  5  5  4  4  6  5  5  5  7  9
 [92761]  5  6  8  6  6  7  5  5  4  5  5  6  6  5  5  2  8  5  3  8  7  5  3  6
 [92785]  6  3  7  6  7  5  5  5  6  3  5  4  4  6  4  7  5  6  8  8  5  8  5  5
 [92809]  4  4  4  7  7  7  7  7  6  6  6  5  4  2  8  5  7  7  5  5  8  6  7  5
 [92833]  4  6  6  6  5  4  8  6  4  6  7  8  9  6  8  6  6  8  6  6  6  4  7  7
 [92857]  4  6  3  6  6  6  7  5  6  6  6  5  5  5  6  5  6  7  4  6  8  4  6  9
 [92881]  8  8  5  8  7  9  6  9  4  6  7  4  5  4  7  5  4  4  6  2  5  4  5  8
 [92905]  6  5  6  6  5  4  5  7  5  4  5  8  6  4  6  7  6  8  3  8  7  7  5  7
 [92929]  2  7  4  6  8  6  6  8  8  4  5  5  7  3  6  5  7  6  6  5  6  4  4  5
 [92953]  8  7  7  6  4  5  5  7  7  9  7  6  7  5  8  6  4  7  4  6  7  6  8  4
 [92977]  4  6  6  6  7  7  6  5  7  6  5  5  6  6  7  6  5  6  6  7  7  3  6  5
 [93001]  7  5  7  5  5  7  4  8  5  5  8  6  8  6  4  6  5  6  8  5  7  5  7  8
 [93025]  4  7  6  3  8  5  3  6  7  7  5  5  5  7  8  6  8  7  6  6  6  5  5  7
 [93049]  9  6  7  6  6  7  5  6  5  8  7  7  7 10  5  4  5  6  5  6  7  7  5  7
 [93073]  2  7  6  6  7  4  3  7  5  7  5  7  5  7  4  6  7  5  7  9  7  6  7  5
 [93097]  7  7  5  8  1  7  8  7  6  7  6  6  8  6  3  5  4  4  6  6  6  7  7  6
 [93121]  6  7  6  4  6  7  5  6  4  8  4  6  6  4  4  7  7  4  6  3  6  9  4  6
 [93145]  5  7  4  6  5  5  8  7  4  4  7  5  7  3  9  5  5  8  6  7  6  4  6  6
 [93169]  7  7  8  8  6  8  8  7  7  7  4  4  4  6  4  5  7  7  5  4  4  9  5  6
 [93193]  8  5  5  9  9  6  7  4  7  7  8  6  6  6  8  5  5  2  6  4  6  7  4  3
 [93217]  8  8  9  6  6  7  5  6  7  4  5  7  3  5  6  7  4  8  7  7  6  7  5  7
 [93241]  6  8  9  7  6  7  5  6  4  7  7  8  7  3  8  6  7  4  7  3  7  6  7  5
 [93265]  8  6  7  5  6  6  5  7  6  8  6  8  5  7  6  5  4  6  5  6  7  9  6  5
 [93289]  9  4  4  5  7  6  5  6  6  4  5  5  4  6  6  6  7  5  6  6  4  7  7  6
 [93313]  6  7  5  4  6  6  6  8  4  8  5  7  7  9  6  5  8  7  6  5  7  6  6  4
 [93337]  7  5  5  7  8  7  4  5  7  4  7  5  5  5  6  8  7  5  9  8  5  8  6  8
 [93361]  6  7  6  7  8  5  5  6  6  5  6  6  5  4  8  6  7  6  4  4  5  8  3  5
 [93385]  7  9  8  6  5  7  3  9 10  6  6  8  8  7  8  8  3  6  4  5  6  7  2  5
 [93409]  5  7  4  9  4  6  5  5  6  4  4  7  2  9  5  7  6  8  6  7  4  5  3  6
 [93433]  4  5  5  4  7  5  4  6  7  5  5  9  6  8  8  8  7  3  6  7  4  5  6  6
 [93457]  9  6  2  6  7  6  3  5  5  6  5  4  5  7  6  5  8  9  6  8  8  7  5  6
 [93481]  7  7  5  7  6  7  7  6  3  6  4  7  6  7  5  4  6  6  6  5  5  6  3  5
 [93505]  5  6  7  9  8  7  5  4  5  8  9  7  5  2  4  6  3  8  7  5  3  6  5  6
 [93529]  5  8  5  4  5  5  5  5  4  4  6  6  6  6  4  4  8  6  7  4  5  7  6  4
 [93553]  7  4  2  7  4  6  5  6  5  5  5  7  5  6  4  7  4  4  6  4  6  4  6  6
 [93577]  6  3  5  6  6  3  5  7 10  7  7  5  5  7  7  8  7  6  2  6  3  6  3  4
 [93601]  4  6  8  8  5  6  6  5  8  6  3  7  8  6  4  3  7  7  5  5  5  8  9  5
 [93625]  4  7  4  6  5  6  6  6  5  6  5  7  6  6  7  6  6  5  8  4  7  7  8  4
 [93649]  5  4  5  6  8  7  5  7  6  6  6  7  4  8  7  8  7  6  6  5  4  6  9  8
 [93673]  9  5  6  6  9  6  5  5  5  4  6  5  7  4  4  7  6  7  7  4  5  4  6  6
 [93697]  7  4  7  7  3  6  6  2  4  5  4  7  4  5  6  6  5  4  5  7  5  7  5  6
 [93721]  8  5  5  7  3  6  5  7  6  1  8  4  7  6  2  4  5  4  8  6  5  6  3  5
 [93745]  7  6  8  7  7  8  6  7  4  6  7  8  8  8  6  4  7  6  5  7  6  6  5  5
 [93769]  5  8  3  8  5  7  8  9  7  5  7  7  6  8  4  9  5  7  7  6  4  5  5  5
 [93793]  6  5  7  3  4  7  2  7  7  8  6  5  7  7  7  7  7  5  5  8  6  8  6  4
 [93817]  8  9  5  5  6  6  6  6  9  4  5  4  7  5  4  6  7  4  7  8  6  6  2  4
 [93841]  7  6  6  5  6  7  2  8  8  5  6  7  4  6  4  6  3  9  6  6  5  6  6  7
 [93865]  7  7  7  8  6  8  8  6  6  7  8  5  5  7  4  6  5  5  7  5  3  3  8  3
 [93889]  4  3  4  5  5  7  5  5  7  6  6  5  6  6  6  4  6  7  9  6  8  6  7  5
 [93913]  9  6  4  4  4  5  5  7  4  8  5  6  5  8  4  6  4  6  7  8  8  5  4  7
 [93937]  6  7  5  3  8  5  3  5  5  7  5  7  7  6  7  4  6  6  6  7  6  5  6  6
 [93961]  5  6  6  6  6  8  7  5  8  5  9  5  4  8  4  5  6  6  6  5  5  6  6  7
 [93985]  6  7  5  8  7  7  8  9  6  5  4  6  5  7  4  1  7  3  4  6  3  7  5  2
 [94009]  4  6  6  6  3  5  4  6  5  8  7  5  6  4  5  4  4  5  8  8  4  7  7  6
 [94033]  8  5  4  4  7  5  5  6  5  5  6  5  6  8  8  4  5  8  7  7  6  5  6  7
 [94057]  9  7  9  4  7  8  7  9  6  3  6  5  8  5  7  5  6  4  4  7  5  7  6  7
 [94081]  3  4  8  5  5  6  7  7  7  4  5  4  8  5  7  7  8  7  8  8  6  8  8  7
 [94105]  6  7  7  9  6  7  6  5  7  9  5  4  3  7  5  5  4  8  7  8  5  6  7  7
 [94129]  7  6  5  5  6  6  7  7  6  6  6  9  6  8  3  7  5  6  5  5  7  6  6  8
 [94153]  6  7  5  7  7  6  5  6  5  5  8  6  6  7  5  6  7  8  8  3  8  7  7  7
 [94177]  6  7  5  9  4  9  8  8  7  5  5  6  9  6  6  4  7  2  6  7  2  9  4  6
 [94201]  5  6  9  6  5  9  8  5  4  5  5  6  3  5  5  8  7  4  6  5  7  6  7  3
 [94225]  6  7  6  3  9  5  8  6  7  5  7  8  8  6  6  7  7  9  5  7  5  7  5  4
 [94249]  5  5  6  6  6  5  6  3  4  7  6  6  7  5  6  9  4  8  5  8  8  8  8  3
 [94273]  6  5  8  8  4  7  5  7  6  5  6  5  5  7  6  8  2  4  7  8  5  5  6  4
 [94297]  5  3  4  4  5  6  8  5  7  8  6  6  5  6  4  7  8  5  9  6  5  6  7  8
 [94321]  6  8  9  6  6  6  6  4  5  6  4  5  5  5  6  6  6  5  4  7  4  8  3  7
 [94345]  4  9  7  7  5  7  7  4  5  6  4  8  7  4  7  6  4  7  7  5  6  8  8  4
 [94369]  6  9  6  7  6  5  4  7  6  6  3  8  5  4 10  8  6  9  7  6  3  6  4  7
 [94393]  5  6  5  5  7  5  8  6  7  5  8  5  7  7  5  4  7  7  4  6  6  4  6  5
 [94417]  5  4  5  8  4  5  8  8  7  5  5  3  7  5  7  7  7  8  5  5  6  7  5  7
 [94441]  6  8  6  9  6  5  6  7  5  4  6  5  5  6  7  6  6  7  6  4  8  3  6  5
 [94465]  8  4  8  8  8  3  5  6  8  9  6  5  4  9  6  7  6  4  6  6  6  4  8  6
 [94489]  5  7  5  7  6  3  5  6  3  6  7  7  7  8  9  3  9  7  5  5  6  6  5  6
 [94513]  7  8  4  9  5  4  5  6  6  9  4  6  7  5  5  6  7  6  8  5  7  6  9  7
 [94537]  6  3  5  7  6  6  6  7  8  5  5  7  8  4  4  3  2  8  8  8  7  5  6  7
 [94561]  7  7  6  7  9  6  4  6  8  5  6  6  4  7  2  5  6  5  9  8  7  6  6  6
 [94585]  4  6  8  7  4  7  7  6  4  5  4  6  6  8  3  6  7  4  8  7  8  6  4  6
 [94609]  6  5  7  9  7  8  6  5  8  8  3  6  6  8  5  6  6  7  7  6  8  5  6  7
 [94633]  9  8  7  8  5  7  6  7  5  7  9  8  8  8  3  7  7  7  5  7  5  6  5  7
 [94657]  9  5  8  7  6  6  4  8  7  6  7  4  5  6  8  5  7  6  5  5  8  5  3  6
 [94681]  4  5  7  7  2  6  6  6  7  7  4  7  5  6  4  7  6  5  6  5  5  7  5  5
 [94705]  4  5  6  6  4  6  6  5  7  7  7  5  6  7  5  7  4  4  7  5  4  7  4  5
 [94729]  5  5  5  8  7  7  6  4  7  7  4  5  2  8  5  5  5  7  6  6  6  8  4  8
 [94753]  5  3  8  7  7  3  8  6  6  4  7  6  6  7  4  6  5  6  5  7  8  7  7  7
 [94777]  6  6  6  6  8  7  4  3  3  6  7  6  5  5  6 10  6  6  6  7  4  6  6  7
 [94801]  4  6  5  7  5  6  5  4  8  7  4  6  6  7  6  8  6  5  4  7  7  6  6  7
 [94825]  4  7  9  7  3  8  6  7  8  8  8  6  7  7  7  8  3  4  8  5  6  4  5  5
 [94849]  5  8  5  6  6  7  7  6  5  7  8  6  7  5  3  7  7  7  3  7  6  7  5  5
 [94873]  5  5  7  6  6  4  3  7  6  6  5  4  7  7  8  7  7  9  5  4  6  7  8  8
 [94897]  6  6  4  7  6  7  6  5  4  6  8  5  3  6  5  8  7  7  8  7  5  4  4  4
 [94921]  6  5  6  5  5  5  4  7  5  7  6  5  8  6  7  7  6  5  7  3  4  7  8  9
 [94945]  6  4  6  6  6  6  6  6  6  5  5  4  3  2  4  5  7  8  4  9  4  4  7  7
 [94969]  4  7  4  5  8  7  5  7  9  6  3  7  6  7  8  7  6  5  5  7  7  6  8  7
 [94993]  7  4  8  8  7  6  6  4  5  5  6  5  2  8  4  4  7  5  5  5  9  5  5  8
 [95017]  7  3  6  4  4  6  5  4  5  4  5  7  6  8 10  5  5  4  6  8  5  9  7  7
 [95041]  7  7  5  5  4  7  7  7  5  7  5  5  3  6  7  5  4  8  6  9  7  7  8  4
 [95065]  7  6  7  4  5  8  7  8  3  5  8  8  7  6  9  7  6  8  3  6  2  3  7  7
 [95089]  4  5  7  6  6  7  5  5  5  7  6  7  4  6  7  6  5  6  6  5  6  5  5  6
 [95113]  6  7  6  4  5  5  7  5  7  6  6  6  7  4  5  6  8  5  6  5  7  6  6  6
 [95137]  4  6  4  7  6  5  5  7  6  8 10  5  6  5  6  8  5  4  2  5  5  6  3  8
 [95161]  3  3  5  4  9  4  8  6  6  7  6  6  5  5  5  5  5  4  7  5  5  6  6  7
 [95185]  7  8  6  7  6  6 10  7  6  7  7  4  8  6  6  6  7  6  4  8  5  6  6  7
 [95209]  6  6  8  3  6  6  7  4  7  5  6  8  5  5  8  4  8  7  6  7  8  6  8  3
 [95233]  5  4  7  5  7  7  4  6  6  7  8  5  6  5  6  6  4  7  5  8  8  5  3  7
 [95257]  9  8  6  5  6  5  7  6  5  6  9  5  7  6  5  8  6  6  6  7  3  6  7  8
 [95281]  6  8  7  5  5  9  4  6  7  4  5  4  7  7  7  7  6  7  7  7  6  7  5  6
 [95305]  6  5  8  8  5  6  6  7  7  5  4  7  7  8  5  8  6  9  5  6  6  7  7  9
 [95329]  6  8  6  8  5  6  6  4  5  6  6  6  7  6  9  7  5  3  8  6  3  2  3  6
 [95353]  6  7  7  7  8  3  5  4  6  8  6  6  8  6  5  9  8  6  5  8  7 10  4  5
 [95377]  5  7  7  4  5  5  5  6  6  7  6  7  3  9  7  7  7  6  4  4  4  6  6  7
 [95401] 10  8  5  5  4  7  6  4  5  5  6  7  4  7  8  5  7  5  8  5  7  8  4  5
 [95425]  8  6  8  4  8  6  7  6  7  4  6  8  2  6  6  6  7  8  3  8  4  7  6  5
 [95449]  7  6  5  4  5  4  7  5  6  4  5  3  4  6  6  7  5  5  7  6  6  6  7  6
 [95473]  4  6  5  8  6  5  7  6  5  8  3  3  4  6  8  5  7  8  6  6  4  5  6  4
 [95497]  8  4  7  6  6  5  7  6  6  7  4  6  6  6  8  8  6  6  6  6  5 10  5  8
 [95521]  7  4  7  7  5  8  9  5  5  6  7  6  6  6  6  7  5 10  7  6  6  6  8  5
 [95545]  7  7  5  6  7  4  4  8  7  7  6  8  4  7  7  8  5  6  4  5  7  6  7  4
 [95569]  6  7  4  7  4  7  5  3  6  4  8  6  5  8  7  5  7  7  6  8  6  6  6  8
 [95593]  7  2  5  7  4  5  9  7  7  4  5  5  7  7  6  3  7  7  4  5  9  7  5  7
 [95617]  9  9  5  8  8  4  5  5  7  7  6  8  5  5  5  6  8  6  5  7  6  7  6  9
 [95641]  8  5  6  5  6  5  5  6  7  4  7  7  6  6  5  6  3  6  7  4  7  6  5  7
 [95665]  6  2  6  4  6  7  7  7  6  7  7  8  8  5  4  8  4  7  6  7  5  7  9  6
 [95689]  6  5  5  4  8  6  4  5  9  7  8  7  7  7  7  8  6  5  6  7  7  5  4  5
 [95713]  7  7  5  4  6  7  4  5  4  4  5  8  6  7  6  5  6  6  5  7  9  4  7  7
 [95737]  5  6  5  8  8  3  5  7  7  5  6  7  6  6  6  6  7  7  5  5  7  6  6  5
 [95761]  6  4  4  7  8  8  7  7  6  5  5  6  7  7  5  4  7  8  6  7  9  4  7  5
 [95785]  7  8  5  6  8  5  5  5  8  6  4  5  6  8  6  4  7  4  4  6  7  4  8  3
 [95809]  7  8  5  7  6  8  6  6  3  4  5  5  9  4  4  6  5  8  3  6  4  7  6  7
 [95833]  4  3  5  5  8  6  7  4  7  4  6  6  8  7  4  5  2  6  7  7  6  3  5  4
 [95857]  6  7  8  2  6  9  7  7  5  6 10  6  5  6  7  5  7  7  6  6  6  6  6  4
 [95881]  6  8  5  5  7  5  6  7  5  8  3  6  5  9  4  7  2  9  7  7  5  2  5  5
 [95905]  5  5  5  5  5  7  5  7  7  8  5  8  4  4  7  4  4  6  6  3  7  4  6  7
 [95929]  5  7  6  8  3  4  5  7  7  4  8  4  4  7  9  8  6  7  5  6  3  8  7  6
 [95953]  7  5  8  8  6  4  7  7  4  6  7  5  3  7  5  7  8  8  5  5  5  5  8  6
 [95977]  3  4  6  6  3  5  6  9  6  5  8  8  6  5  6  3  7  6  9  7  6  5  6  5
 [96001]  3  5  8  6  6  8  7  8  4  4  7  7  7  4  4  5  5  8  6  5  4  8  7  9
 [96025]  4  6  4  7  7  8  6  7  7  7  5  5  7  6  9  8  6  9  4  7  2  6  5  8
 [96049]  5  4  8  8  6  8  7  7  8  4  4  5  4  4  6  7  6  5  6  7  7  8  5  3
 [96073]  6  6  6  2  6  4  2  5  7  6  3  4  2  5  5  3  6  5  5  2  6  5  3  7
 [96097]  8  7  7  5  5  9  5  4  6  9  9  8  5  6  7  5  5  7  5  3  6  7  8  7
 [96121]  5  5  7  7  4  6  4  5  8  7  7  8  7  4  6  3  7  7  6  6  7  4  5  6
 [96145]  7  8  6  6 10  7  6  4  5  5  5  5  5  5  5  7  8  6  8  9  6  7  3  6
 [96169]  3  6  6  5  6  7  8  5  7  6  5  9  6  6  7  5  5  6  5  8  6  6  6  7
 [96193]  6  6  7  6  7  6  4  8  5  8  7  5  5  6  5  6  5  3  9  8  6  6  5  5
 [96217]  9  5  8  6  6  5  4  6  8  8  4  3  7  5  5  7  6  6  5  8  6  6  6  9
 [96241]  4  9  5  5  6  4  6  9  6  7  7  2  6  5  5  5  4  9  6  5  8  6  4  4
 [96265]  7  5  6  4  7  9  8  6  5  5  6  4  7  7  5  5  4  6  6  6  8  8  7  4
 [96289]  7  6  8  4  5  4  6  4  6  6  9  6  4  5  5  4  5  6  6  7  6  6  8  6
 [96313]  6  4  8  4  6  5  6  6  4  6  7  6  5  7  4  7  6  9  7  4  8  4  3  7
 [96337]  7  7  5  8  8  5  6  7  6  5  7  4  3  7  6  5  5  6  7  6  7  5  6  7
 [96361]  7  7  5  8  4  6  8  5  8  6  4  8  7  6  6  5  8  5  6  7  5  6  3  7
 [96385]  5  6  7  8  9  6  6  4  3  6  7  6  6  3  6  8  7  8  9  7  5  6  6  5
 [96409]  7  5  7  5  5  6  6  4  6  4  5  6  4  5  7  3  5  5  5  5  8  5  7  7
 [96433]  6  4  6  9  7  6  6  7  8  5  8  7  6  6  5  4  8  7  5  7  6  5  6  7
 [96457]  4  5  8  5  4  5  8  4  6  7  7  6  5  7  6  7  3  6  4  6  8  6  5  7
 [96481]  5  8  4  6  8  3  6  7  8  5  5  5  5  5  6  9  7  6  5  5  8  8  5  6
 [96505]  5  5  8  8  5  7  5  3  6  5  9  5  6  6  6  5  5  8  6  4  3  5  4  8
 [96529]  6  6  6  5  6  6  5  8  7  6  7  3  2  6  6  7  6  5  5  7  3  5  7  6
 [96553]  5  8  5  5  8  6  7  6  6  8  6  7  7  5  5  6  7  6  7  6  6  5  7  6
 [96577]  7  4  7  8  7  7  7  6  7  3  5  6  7  6  7  8  5  7  5  9  5  7  4  4
 [96601]  6  6  6  5  9  8  7  5  7  7  6  8  4  5  5  5  7  3  7  5  8  5  3  6
 [96625]  6  5  3  4  6  7  7  6  9  4  6  6  6  5  6  7  6  6  7  8  8  6  5 10
 [96649]  3  5  6  7  9  5  7  6  6  8  7  6  7  6  5  7  5  5  5  5  8  7  7  8
 [96673]  5  7  8  5  6  3  6  7  4  4  5  7  6  5  7  4  7  5  7  4  6  5  7  6
 [96697]  6  6  5  6  7 10  6  9  6  6  7  8  6  7  7  5  7  5  5  6  6  5  7  7
 [96721]  5  4  6  6  7  7  7  6  4  5  6  7  5  8  6  4  8  6  5  9  7  8  8  7
 [96745]  4  6  5  5  5  8  2  7  6  4  9  5  7  7  5  6  6  6 10  6  4  5  6  5
 [96769]  8  7  6  7  7  9  7  5  5  4  6  8  8  3  7  6  7  3  6  6  6  4  8  6
 [96793]  8  6  7  7  6  7  3  7  4  7  4  8  6  7  7  7  6  7  7  4  6  2  7  8
 [96817]  4  3  7  6  5  6  7  7  2  6  6  6  6  7  7  6  6  6  6  5  7  4  4  6
 [96841]  9  8  6  6  6  7  6  5  5  5  4  6  4  6  5  8  5  5  7  8  5  9  5  3
 [96865]  9  4  7  4  7  3  6  7  8  6  7  6  5  4  6  4  6  6  7  8  4  6  4  9
 [96889]  5  7  5  6  6  6  5  5  6  7  8  4  7  6  5  5  7  7  5  7  4  7  6  4
 [96913]  6  6  4  3  8  8  7  8  5  7  8  6  4  6  5  6  3  6  6  5  8  4  5  6
 [96937]  6  3  7  5  5  6  5  7  8  4  5  8  6  3  6  8  5  6  4  5  5  7  5  8
 [96961]  6  7  8  4  6  8  5  4  4  8  4  6  7  8  6  6  5  6  7  5  8  7  5  7
 [96985]  5  9  3  8  6  8  5  4  7  7  9  5  4  7  9  5  6  6  5  8  9  6  7  5
 [97009]  6  6  5  4  7  8  7  5  5  4  5  5  7  6  7  6  5  4  5  6  3  6  7  7
 [97033]  4  6  8  8  9  8  3  4  6  5  5  5  7  6  8  7  6  6  6  7  9  8  5  8
 [97057]  7  6  5  6  6  6  7  7  6  8  5  7  6  3  4  3  6  4  6  7  6  7  7  4
 [97081]  5  4  7  4  4  9  6  5  6  6  5  9  5  7  5  7  8  7  5  7  6  6  5  7
 [97105]  5  7  7  3  7  6  6  7  8  8  7  6  9  5  8  9  5  8  8  6  6  3  3  6
 [97129]  9  8  8  3  5  5  8  7  9  4  1  6  6  8  7  7  7  5  5  9  7  7  3  6
 [97153]  7  7  6  7  7  7  3  7  5  5  6  6  8  4  6  4  5  5  5  4  5  5  7  6
 [97177]  7  4  6  9  5  7  6  6  5  5  7  6  7  3  6  7  7  7  2  5  5  4  8  9
 [97201]  6  6  5  8  6  5  5  8  8  7  6  6  6  2  9  5  6  5  6  9  4  7  5  5
 [97225]  8  6  5  5  4  8  3  4  5  7  5  8  6  5  8  7  8  5  7  7  4  7  6  7
 [97249]  5  6  6  5  4  4  4  7  7  5  5  5  6  7  8  5  5 10  4  7  8  6  7  7
 [97273]  6  7  5  8  5  5  5  6  8  7  4  6  6  9  6  5  3  2  6  8  4  5  8  6
 [97297]  6  8  7  6  5  6  6  6  4  8  8  6  6  6  7  4  4  6  8  4  4  6  8  7
 [97321]  8  5  4  9  7  7  7  8  6  6  6  4  8  7  4  9  6  6  7  5 10  7  6  5
 [97345]  8  7  4  4  7  8  4  6  6  8  6  4  8  8  8  6  8  5  8  5  5  4  8  8
 [97369]  6  7  7  8  6  5  7  4  7  7  7  7  6  4  4  5  2  3  6  8  8  8  8  8
 [97393]  4  4  5  7  3  6  4  6  9  1  4  3  8  4  9  7  6  6  7  3  5  5  5  5
 [97417]  7  9  5  8  7  6  8  7  7  4  7  7  5  9  7  8  7  7  6  5  6  7  7  4
 [97441]  5  5  7  8  7  6  6  6  7  7  7  9  5  3  6  4  6  6  9  6  6  6  6  6
 [97465]  6  8  7  7  5  8  4  5  5  7  8  3  6  6  5  7  4  7  5  7  7  7  4  4
 [97489]  4  8  7  7  5  5  7  7  4  3  9  5  3  4  7  7  4 10  6  9  5  8  3  7
 [97513]  6  5  7  9  6  7  6  6  6  8  5  7  5  6  6  6  6  5  6  5  5  5  6  5
 [97537]  6  4  6  7  6  6  7  7  6  8  7  5  6  7  5  6  4  6  9  7  8  6  9  6
 [97561]  7  6  6 10  6  5  7  4  5  9  7  8  6  7  5  2  7  6  7  6  4  7  9  5
 [97585]  6  5  5  6  8  6  9  7  6  4  7  8  7  7  6  6  6  6  7  9  5  6  6  7
 [97609]  5  5  7  7  5  6  5  5  7  7  5  6  3  4  9  6  7  7  7  5  9  5  6  6
 [97633]  6  5  3  4  7  7  4  7  6  5  3  6  6  4  7  4  7  7  5  6  6  5  5  2
 [97657]  8  9  8  7  4  6  8  6  6  7  8  7  5  6  5  7  6  7  6  4  6  7  7  6
 [97681]  4  7  5  6  4  7  7  9  3  4  5  7  6  6  6  7  9  4  6  7  6  6  6  4
 [97705]  9  5  5  6  7  7  7  7  4  8  8  4  9  4  6  5  4  5  7  7  4  6 10  6
 [97729]  6  5  3  7  7  7  7  7  5  7  5  9  4  6  6  8  5  7  8  4  6  8  8  5
 [97753]  4  7  5  9  7  4  5  5  6  5  5  4  6  7  8  9  7  7  7  5  3  8  5  5
 [97777]  7  4  5  5  6  4  9  3  4  4  5  4  6  3  9  5  4  7  6  7  6  6  5  6
 [97801]  7  6  4  6  5  6  7  5  6  8  7  7  6 10  7  8  5  6  5  7  4  8  7  7
 [97825]  6  7  4  5  8  9  7  6  7  9  6  4  6  9  5  6  9  6  6  7  8  5  7  5
 [97849]  6  6  5  2  5  4  8  8  9  4  4  7  5  3  7  2  6  5  7  5  7  8  7  6
 [97873]  6  3  4  5  8  5  6  6  7  8  6  4  3  7  5  8  6  7  3  8  6  4  4  7
 [97897]  6  6  3  7  5  7  8  3  9  6  8  5  5  4  7  2  6  5  6  7  6  4  7  6
 [97921]  6  7  5  7  8  8  8  7  6  7  5  7  5  5  6  5  6  5  5  5  7  4  5  6
 [97945]  6  6  5  6  6  5  6  5  4  4  7  4  5  7  8  7  7  6  4  8  5  3  5  9
 [97969]  6  8  6  3  6  6  6  4  8  3  7  8  9  6  5  6  5  3  8  2  8  5  2  4
 [97993]  7  8  8  5  5  4  6  8  8  6  8  7  7  6  6  4  7  7  4  5  5  7  5  6
 [98017]  5  7  6  5  8  5  7  3  8  5  4  8  8  6  3  7  6  9  6  6  4  6  5  7
 [98041]  8  6  6  6  5  6  4  6  5  3  7  6  3  3  5  5  5  6 10  6  8  6  8  6
 [98065]  7  5  5  8  5  6  7  7  5  7  2  7  5  8  6  5  6  8  4  6  9  6  8  6
 [98089]  5  7  8  6  7  4  6  6  5  6  7  4  5  6  5  5  5  6  3  6  4  7  8  6
 [98113]  7  9  7  6  6  6  8  8  7  5  6  5  6  6  5  7  5  8  7  8  5  3  5  4
 [98137]  6  5  5  6  6  8  6  6  6  4  7  8  4  4  7  4  7  9  8  8  7  6  6  6
 [98161]  5  5  5  4  7  6  8  4  6  5  5  8  8  8  6  5  8  6  7  8  7  7  8  6
 [98185]  3  7  8  6  5  8  9  7  8  7  7  5  8  5  2  3  7  7  5  8  5  8  5  7
 [98209]  6  7  6  5  4  7  5  6  3  8  7  8  7  7  7  6  5  6  8  4  6  6  6  6
 [98233]  4  7  4  6  4  7  6  7  7  7  7  5  5  4  8  8  8  8  4  5  4  4  6  7
 [98257]  4  7  6  4  7  7  8  7  3  6  6  6  5  6  7  4  4  6  5  4  9  6  8  6
 [98281]  4  5  5  8  6  6  2  7  5  9  7  7  4  6  3  7  6  9  8  6  9  5  5  5
 [98305]  5  8  5  3  5  7  7  8  7  7  5  5  8  5  6  5  5  5  5  7  5  6  4  6
 [98329]  5  6  7  5  7  8  5  6  7  7  7  5  6  5  4  7  8  9  5  8  6  7  4  7
 [98353]  7  5  5  8  7  4  7  9  7  5  7  6  6  9  4  7  4  8  9  6  8  5  6  5
 [98377]  7  6  6  8  7  8  6  5  5  7  6  4  6  6  6  6  6  4  5  5  6  5  7  6
 [98401]  4  7  3  6  7  6  8  4  7  7  7  7  8  5  5  3  8 10  7  4  7  5  5  7
 [98425]  7  5  8  6  4  5  6  5  6  6  3  9  7  5  4  5  6  3  5  6  7  5  3  6
 [98449]  5  7  6  4  6  6  6  6  8  8  7  7  7  4  6  3  6  7  5  2  5  6  7  5
 [98473]  4  5  6  5  6  7  4  7  6  5  7  6  5  4  5  7  9  3  7  7  6  8  5  7
 [98497]  7  7  3  7  3  5  5  8  4  8  6  4  5  4  4  7  4  4  4  3  5  5  4  7
 [98521]  4  7  8  2  7  5  7  5  5  7  9  7  8  4  8  8  6  5  4  8  7  6  8  4
 [98545]  6  6 10  6  5  5  6  5 10  6  6  6  6  5  6  5  6  6  5  7  7  4  8  4
 [98569]  3  6  6  8  5  7  7  5  6  7  8  6  7  6  8  4  4  7  4  6  7  7  7  5
 [98593]  6  5  3  5  6  9  7  5  7  6  5  5  8  7  6  6  6  5  7  7  4  7  3  3
 [98617]  6  7  6  7  8  5  6  6  8  7  7  8  4  6  7  6  4  6  9  8  6  7  6  5
 [98641]  8  6  6  5  6  5  4  5  6  6  6  7  7  7  8  2  5  6  7  6  3  7  5  6
 [98665]  6  8  5  6  6  5  8  4  5  2  8  6  4  7  5  5  9  6  8  5  5  6  7  6
 [98689]  2  4  5  5  5  7  5  7  5  4  3  5  6  8  5  3  9  7  4  5  6  6  5  9
 [98713]  8  7  5  9  5  3  7  4  7  5  3  5  5  3  7  4  5  3  8  5  6  7  8  5
 [98737]  7  2  8  5  7  7  4  8  3  4  6  5  5  6  7  9  6  6  8  8  4  7  7  6
 [98761]  6  7  5  7  8  5  5  6  4  5  9  8  3  6  7  7  6  5  7  3  7  6  7  8
 [98785]  4  6  5  5  4  6  3  5  4  7  9  6  6  5  5  5  9  4  8  7  6  7  6  4
 [98809]  9  6  8  6  7  7  5  8  7  8  5  7  5  7  4  8  7  7  5  3  5  7  5  2
 [98833]  3  6  7  7  9  4  6  7  6  8  6  6  8  6  4  6  3  6  7  6  4  6  5  6
 [98857]  6  7  6  4  7  8  8  7  6  3  5  8  6  3  7  6  5  6  8  5  4  5  5  6
 [98881]  6  4  5  6  9  6  8  7  5  7  5  5  6  7  5  6  7  7  7  7  7  5  6  7
 [98905]  6  5  5  6  6  8  6  5  5  5  6  6  3  6  8  6  4  6  6  5  4  8  7  8
 [98929]  7  6  6  3  5  6  9  5  7  4  6  7  6  6  5  5  7  3  6  4  6  6  6  7
 [98953]  6  7  5  9  5  6  4  6  6  5  3  6  4  5  8  6  6  5  6  7  5  5  5  3
 [98977]  7  7  5  3  3  7  3  6  4  6  3  5  7  7  6  4  4  4  8  6  7  5  5  8
 [99001]  5  5  6  6  4  6  4  5  4  7  8  4  8  7  5  5  4  5  5  2  6  6  6  7
 [99025]  7  5  9  6  5  8  5  7  6  8  7  6  6  6  5  6  5  5  3  4  6  6  7  3
 [99049]  7  6  6  8  3  7 10  7  5  6  5  7  4  5  9  4  4  6  6  7  8  5  5  5
 [99073]  6  6  7  8  5  6  7  6  7  7  8  5  8  5  6  9  6  4  5  7  6  7  6  6
 [99097]  5  5  5  7  6  7  5  8  4  4  6  7  8  4  7  6  1  6  6  8  4  4  7  7
 [99121]  8  6  4  6  7  2  7  8  4  6  7  5  9  5  4  9  8  4  4  4  6  9  7  6
 [99145]  5  7  7  6  8  4  5  8  6  7  8  5  8  8  7  8  7  4  4  6  7  8  7  7
 [99169]  4  8  7  8  8  5  6  5  7  5  7  3  5  5  6  3  7  6  6  7  6  8  6  5
 [99193]  5  7  7  6  4  6  8  7  4  7  7  2  5  5  4  6  6  3  7  7  6  8  8  9
 [99217]  5  7 10  6  4  7  7  6  6  5  2  6  8  6  6  7  6  8  7  4  7  7  6  8
 [99241]  6  8  6  7  7  7  2  7  6  2  5  4  5  3  4  6  6  5  8  5  9  4  9  5
 [99265]  4  7 10  7  5  7  8  5  1  6  7  7  8  7  3  8  5  4  9  6  6  6  7  6
 [99289]  6  6  3  8  6  6  5  6  8  8  8  4  3  7  5  6  8  3  6  7  7  7  6  5
 [99313]  8  6  5  6  8  7  7  8  3  7  8  5  6  8  7  6  7  5  1  6  7  5  5  8
 [99337]  7  7  6  4  7  5  6  8  5  7  7  8  8  7  5  8  5  9  8  9  5  8  7  4
 [99361]  6  7  5  5  7  6  7  5  5  6  5  7  5  6  6  7  6  8  6  9  7  8  8  7
 [99385]  5  7  6  6  5  7  8  9  7  6  8  5  6  9  6  3  6  5  7  6  7  6  9  6
 [99409]  5  6  5  5  4  8  3  4  4  7  8  4  5  6  3  7  5  7  2  4  9  6  8  8
 [99433]  6  8  3  6  7  5  5  6  5  7  5  6  7 10  8  5  6  9  8  6  5  7  5  5
 [99457]  5  7  5  6  4  7  4  4  7  3  5  3  5  9  6  8  9  4  4  8  2  5  6  6
 [99481]  6  6  2  4  8  8  6  6  4  8  6  6 10  7  7  5  5  7  6  7  6  8  4  9
 [99505]  6  6  3  4  5  8  8  7  4  5  6  7  5  6  6  5  8  6  8  7  7  8  4  6
 [99529]  6  7  4  8  5  7  8  3  9  5  4  8  5  5  6  6  7  5  7  6  4  2  3  4
 [99553]  5  8  5  8  7  7  5  6  8  9  5  5  9  4  7  6  3  7  7  5  8  7  8  5
 [99577]  6  6  8  2  8  7  7  8  6  6  4  4  7  6  9  7  6  6  8  6  7  7  6  4
 [99601]  2  6  3  7  4  9  5  6  7  5  6  5  7  7  7  9  6  6  5  7  7  5  4  6
 [99625]  6  8  4  6  5  8  7  7  5  6  6  7  6  7  6  3  5  7  6  5 10  6  8  4
 [99649]  4  6  4  2  7  7  7  5  6  8  7  6  5  8  4  6  4  7  6  7  7  9  8  5
 [99673]  5  6  7  4  8  5  7  6  8  6  4  7  8  6  6  4  7  6  4  5  8  5  6  6
 [99697]  5  3  6  3  5  7  4  6  6  8  5  6  6  5  6  5  7  8  6  6  4  4  6  6
 [99721]  6  5  7  3  7  6  6  7  5  7  5  7  6  7  6  4  6  5  4  8  6  6  6  6
 [99745]  7  7  6  3  8  3  6  6  3  4  9  6  6  5  8  5  6  5  6  5  4  7  7  4
 [99769]  7  6  6  7  3  7  8  7  5  7  8  4  8  5  3  7  4  2  2  8  4  6  5  3
 [99793]  5  5  5  7 10  5  4  5  5  5  8  5  5  4  5  4  6  7  7  8  6  6  6  5
 [99817]  5  5  5  7  4  7  7  9  5  7  6  8  4  9  4  6  8  5  9  4  3  7  7  4
 [99841]  5  4  7  4  5  7  6  8  3  7  4  7  7  4  6  7  7  5  8  8  6  8  5  7
 [99865]  2  8  7  4  6  7  7  7  4  6  7  5  8  8  4  6  6  4  8  8  8  6  5  6
 [99889]  6  4  5  3  6  5  7  8  6  6  5  4  7  6  4  6  8  6  9  7  5  5  7  5
 [99913]  7  7  4  5  6  5  6  7  5  7  2  4  8  3  5  6  4  6  5  6  4  4  6  5
 [99937]  3  6  3  6  9  6  7  8  6  7  6  6  8  5  5  7  5  6  5  7  6  6  5  6
 [99961]  9  5  8  7  4  6  5  5  6  5  6  8  7  5  6  3  6  7  4  8  6  9  5  9
 [99985]  7  4  7  6  6  7  2  5  9  6  7  5  6  8  5  6

Binomial random variables

  • If we compare the density plot of the observations versus the probability mass function we see:

plot of chunk unnamed-chunk-13plot of chunk unnamed-chunk-13

  • This demonstrates the idea that if we were to take the number of replications of the experiment to infinity, the density plot would converge to the theoretical probability mass / density plot.

The uniform distribution

  • Recall that the uniform distribution \( U(a, b) \) is defined such that all intervals of the same length on the distribution’s support are equally probable.

  • Suppose \( a=0 \) and \( b=1 \), we will use the dunif function to plot the probability density function similarly to earlier examples:

par(cex = 2.0, mar = c(5, 4, 4, 2) + 0.3)
f = dunif(x=seq(-1,2,by=0.01), min=0, max=1)
plot(x=seq(-1,2,by=0.01), f, type = "s", main = "Uniform distribution on [0,1]", xlab = "x", ylab = "Density")

plot of chunk unnamed-chunk-14

The uniform distribution

  • In R the generic functions for the uniform distribution are the following:

    • dunif(x, min, max) is the probability density function of the uniform.
    • punif(q, min, max) is the cumulative density function of the uniform.
    • runif(n, min, max) randomly generates a sample of size n from the uniform

  • These concepts mirror what we showed with the binomial distribution exactly, up to the differences of the discrete versus continuous random variables.

  • For instance, let's simulate a sample from the uniform distribution over the support \( [0,1] \);

    • recall, as a continuous random variable \( X \) can take values to an arbitrary decimal place over \( [0,1] \):
sample_10 = runif(10, min=0, max=1)
sample_10

 [1] 0.03715792 0.92779020 0.44798960 0.91590227 0.35575179 0.91531269
 [7] 0.42831727 0.65954412 0.14692106 0.34960237

The uniform distribution

  • If we make a histogram of the sample, we find

plot of chunk unnamed-chunk-16

  • Now, similarly, if we take large sample of uniformly distributed measurements,
sample_100000 = runif(100000, min=0, max=1)
sample_100000

     [1] 6.474019e-01 7.374771e-01 8.521966e-02 7.412854e-01 3.759573e-01
     [6] 5.785599e-01 6.533387e-01 7.269142e-01 4.552562e-02 8.952566e-02
    [11] 7.182468e-02 2.979357e-01 9.947419e-01 9.322832e-01 5.350167e-01
    [16] 6.062503e-01 9.583111e-01 4.107010e-01 8.878411e-01 9.029002e-01
    [21] 6.177375e-01 5.079080e-01 4.315389e-01 4.377010e-01 8.712872e-01
    [26] 7.517495e-01 5.092539e-01 2.805277e-01 9.092048e-01 1.719444e-01
    [31] 1.359298e-01 7.775433e-01 2.803640e-01 4.809508e-01 5.155247e-01
    [36] 4.798640e-02 8.583991e-01 1.358147e-01 9.114432e-01 6.348719e-01
    [41] 8.840110e-01 9.617742e-01 4.911525e-01 3.968316e-01 7.575660e-01
    [46] 5.848821e-01 7.493375e-01 7.762398e-02 2.142836e-01 1.590208e-01
    [51] 4.137514e-01 7.625841e-01 5.092029e-01 3.771626e-01 5.459336e-01
    [56] 2.927365e-01 3.908592e-01 5.579719e-01 5.147112e-01 2.305138e-01
    [61] 6.826778e-01 7.753322e-02 9.561344e-01 7.996752e-01 8.590376e-01
    [66] 1.483390e-01 8.919751e-02 6.012283e-01 7.489849e-02 7.873487e-01
    [71] 3.468172e-01 5.054559e-01 7.194010e-01 6.077963e-01 4.321952e-01
    [76] 9.934402e-01 1.825064e-01 4.054995e-01 5.620676e-01 2.435280e-01
    [81] 3.544904e-01 1.560861e-01 3.647198e-01 1.445120e-01 3.600642e-01
    [86] 5.621755e-01 4.470706e-01 3.899517e-01 4.643040e-01 3.114687e-01
    [91] 7.349752e-01 4.065045e-01 7.652673e-02 2.782634e-01 5.684990e-01
    [96] 7.755580e-01 2.144282e-01 3.907462e-01 8.965329e-01 8.606230e-01
   [101] 3.938088e-01 9.142965e-01 5.623709e-01 1.745403e-01 2.234485e-01
   [106] 1.674301e-01 9.147503e-01 3.372738e-01 5.149893e-01 2.912118e-01
   [111] 6.734624e-01 5.885521e-01 9.973539e-01 9.294091e-01 3.197185e-01
   [116] 1.312243e-01 8.443758e-01 6.541233e-01 4.825555e-01 7.066728e-01
   [121] 9.202414e-01 1.130602e-01 6.627312e-01 9.088097e-01 6.217523e-01
   [126] 3.592574e-02 8.684399e-01 9.604258e-01 9.711959e-02 9.449910e-02
   [131] 9.983684e-02 7.647387e-01 9.514852e-01 6.767370e-01 7.834053e-01
   [136] 3.171008e-02 7.182701e-01 4.347995e-01 3.946397e-01 4.418238e-01
   [141] 2.592396e-01 6.801461e-01 3.265250e-01 1.043203e-01 2.043458e-01
   [146] 1.216467e-01 8.542961e-01 2.391442e-01 1.896275e-01 6.823737e-01
   [151] 1.007785e-01 9.341119e-01 2.630005e-01 7.340259e-01 7.468790e-01
   [156] 3.767362e-01 3.051722e-01 2.252391e-01 6.581294e-01 5.485037e-01
   [161] 9.533018e-01 9.833038e-01 1.463870e-01 2.821533e-01 2.620926e-01
   [166] 2.793136e-02 7.140963e-01 6.964750e-01 6.480858e-01 9.243497e-01
   [171] 6.679947e-02 7.690500e-01 6.899777e-01 9.454552e-01 5.051119e-01
   [176] 9.806287e-01 5.595372e-01 5.504850e-02 6.717820e-01 6.270067e-01
   [181] 7.233144e-01 1.168910e-02 2.324360e-01 8.976944e-01 8.283996e-01
   [186] 7.048711e-01 6.355422e-01 6.713400e-02 2.882117e-01 5.648818e-01
   [191] 2.816606e-01 6.690316e-01 3.135878e-01 2.300260e-01 9.847946e-01
   [196] 3.958152e-01 5.586969e-01 2.776492e-01 2.466881e-01 2.771989e-02
   [201] 1.470323e-01 3.759430e-01 2.110370e-01 1.764958e-01 6.706184e-01
   [206] 3.421517e-01 5.832024e-01 7.545807e-01 1.926314e-01 8.596746e-01
   [211] 4.395216e-01 7.326086e-01 4.027887e-01 5.711624e-01 4.097629e-01
   [216] 1.726517e-01 8.598706e-01 9.293287e-01 3.690186e-01 6.459260e-01
   [221] 6.173085e-01 2.130318e-01 2.966756e-01 2.514887e-01 6.935652e-01
   [226] 2.234310e-01 4.672925e-01 1.927354e-01 6.059878e-01 4.976730e-01
   [231] 5.172456e-01 4.921468e-02 8.062274e-01 3.565034e-01 3.943929e-01
   [236] 4.457370e-01 7.015637e-01 9.686931e-01 1.672274e-01 1.407346e-01
   [241] 4.110249e-01 7.524244e-01 9.879761e-01 1.519990e-01 4.487809e-01
   [246] 2.652446e-01 9.572859e-01 9.672725e-01 1.338887e-01 9.595496e-02
   [251] 3.617856e-01 4.179899e-01 5.113547e-01 3.613738e-01 9.783007e-01
   [256] 1.207381e-01 4.029529e-01 4.965292e-01 3.108286e-01 1.357867e-01
   [261] 6.789750e-01 5.206648e-01 5.708184e-01 4.466016e-01 8.748640e-01
   [266] 5.390686e-01 6.992312e-01 3.045179e-01 4.036462e-01 2.444219e-01
   [271] 8.068467e-02 5.197886e-01 2.774871e-01 9.036175e-03 4.244579e-02
   [276] 6.133747e-01 7.358940e-01 2.415352e-01 2.664980e-01 5.805945e-01
   [281] 7.095168e-01 1.124422e-01 4.413869e-01 9.789698e-01 2.100962e-01
   [286] 3.826188e-01 2.203621e-01 2.094528e-01 2.758111e-01 3.197604e-01
   [291] 8.320828e-01 1.288729e-01 3.193090e-01 1.783174e-01 2.606897e-01
   [296] 7.155873e-01 6.028680e-01 4.114397e-01 8.568134e-01 6.167785e-01
   [301] 1.340877e-01 1.569987e-01 7.123464e-02 2.407252e-01 9.029858e-01
   [306] 1.659621e-01 5.820697e-01 6.223455e-01 5.329498e-01 6.728422e-02
   [311] 4.974772e-01 6.278418e-01 1.824730e-01 4.756611e-01 1.709822e-01
   [316] 1.052339e-01 6.383644e-01 6.914265e-01 4.454228e-01 6.657044e-01
   [321] 6.106944e-01 8.861650e-01 9.199919e-01 7.311066e-01 6.222900e-01
   [326] 4.860124e-01 6.461336e-02 6.126475e-01 9.452963e-01 3.161110e-02
   [331] 4.642323e-01 5.168607e-01 5.130321e-01 7.173461e-01 7.736382e-01
   [336] 8.079314e-01 4.503280e-01 1.212621e-02 4.782972e-01 4.687435e-02
   [341] 7.902724e-01 6.712918e-01 8.801176e-01 8.510825e-01 4.525151e-01
   [346] 8.430636e-01 2.173250e-01 9.178229e-01 1.451055e-01 4.378625e-02
   [351] 4.090267e-02 8.045257e-01 9.807386e-01 1.765065e-01 1.334195e-01
   [356] 7.764859e-01 1.333298e-02 3.413083e-02 6.353828e-01 5.782785e-01
   [361] 2.426979e-01 8.852732e-01 5.085203e-01 3.845173e-01 3.807538e-01
   [366] 8.660049e-01 7.894143e-01 5.513346e-01 7.114256e-01 3.618785e-01
   [371] 7.618529e-01 9.012311e-01 6.526378e-01 7.794850e-01 1.154161e-01
   [376] 2.719520e-01 1.188438e-01 4.125778e-01 3.896379e-01 6.841827e-01
   [381] 8.442539e-01 8.130947e-01 9.821038e-02 1.457836e-01 5.797046e-01
   [386] 9.625427e-01 9.944978e-01 6.061380e-01 8.338134e-01 6.114658e-01
   [391] 9.856912e-01 6.988239e-01 7.155188e-01 9.564271e-01 7.069237e-01
   [396] 6.320574e-01 6.765292e-01 5.482098e-01 2.005749e-01 7.922631e-03
   [401] 9.608030e-01 6.656742e-01 9.566255e-02 3.876872e-01 9.885445e-01
   [406] 1.531453e-01 5.246623e-01 9.412423e-01 3.179296e-02 2.169887e-01
   [411] 6.324942e-01 4.082510e-01 1.777493e-01 3.613637e-01 8.637108e-01
   [416] 6.602401e-01 4.777893e-01 3.409095e-01 4.064040e-02 1.707815e-01
   [421] 6.896861e-01 4.559201e-01 9.516500e-01 9.366494e-02 4.839009e-01
   [426] 1.963379e-01 6.349122e-01 6.904778e-01 2.327399e-01 6.093791e-01
   [431] 2.273894e-01 4.606362e-01 4.111398e-01 9.312495e-01 6.074621e-01
   [436] 1.512614e-01 1.125544e-01 7.335461e-01 1.736639e-01 3.736910e-01
   [441] 4.505196e-01 6.904376e-01 5.086912e-01 9.303686e-02 3.781423e-01
   [446] 9.102908e-02 5.134167e-01 6.935874e-01 8.235545e-01 7.316892e-02
   [451] 7.582473e-01 8.000585e-01 3.563454e-01 5.632055e-01 1.685813e-01
   [456] 8.693278e-01 2.274230e-01 7.723068e-01 5.866634e-01 2.436888e-01
   [461] 9.620461e-01 1.356511e-01 9.660218e-01 4.007579e-03 6.692655e-01
   [466] 4.097439e-01 9.250650e-01 7.912619e-01 3.816279e-01 1.846988e-01
   [471] 2.618707e-01 5.913705e-01 7.566284e-01 4.849893e-01 1.222905e-01
   [476] 5.565732e-01 2.059763e-01 1.225336e-01 1.653147e-01 8.449661e-02
   [481] 2.262998e-01 1.925116e-01 6.589415e-01 6.052788e-01 2.758990e-02
   [486] 4.751303e-02 7.144920e-01 4.251472e-01 3.083252e-01 7.333259e-01
   [491] 3.704764e-01 8.269294e-01 4.262120e-01 7.306558e-01 8.842142e-01
   [496] 8.420477e-01 1.605853e-01 2.110630e-01 3.660302e-02 9.371836e-01
   [501] 7.029793e-01 8.081169e-01 6.802635e-01 5.851855e-01 5.555486e-01
   [506] 7.217062e-01 9.464306e-01 3.375720e-01 9.473765e-01 5.944098e-01
   [511] 7.252585e-01 6.544128e-02 5.424677e-01 9.403602e-01 2.817288e-01
   [516] 4.752750e-01 1.925539e-02 1.918076e-01 6.298136e-02 8.598123e-01
   [521] 4.602871e-01 9.063543e-01 8.914483e-01 1.270998e-01 6.137933e-01
   [526] 6.919347e-01 3.244411e-01 7.017087e-01 9.011791e-01 7.286299e-01
   [531] 3.833116e-01 5.372282e-01 5.039732e-01 1.990637e-01 6.543569e-01
   [536] 5.340682e-01 9.448173e-01 4.143895e-01 8.262826e-02 8.446157e-01
   [541] 9.961450e-01 1.920884e-01 5.550464e-01 3.943430e-02 9.948919e-01
   [546] 8.187404e-01 1.218040e-01 7.865899e-01 9.653509e-01 8.233639e-01
   [551] 6.954265e-01 1.919774e-01 3.359430e-01 5.924249e-01 3.646281e-01
   [556] 3.052512e-01 2.291965e-01 6.181128e-01 1.563331e-01 3.196574e-01
   [561] 9.459131e-01 4.789027e-01 8.830877e-01 4.291025e-01 1.622521e-02
   [566] 1.323092e-01 6.927282e-01 3.190718e-01 3.405855e-01 1.190998e-01
   [571] 6.204202e-01 2.460877e-01 6.265553e-01 1.364432e-01 9.140430e-01
   [576] 6.834893e-01 2.779923e-01 7.678688e-01 9.552302e-01 8.734147e-01
   [581] 5.224738e-01 1.508183e-01 4.603335e-01 1.048226e-02 4.167562e-01
   [586] 8.038469e-01 3.178650e-02 2.308133e-01 6.609303e-01 8.770433e-01
   [591] 6.923443e-01 1.246472e-01 1.396679e-01 4.657615e-01 9.893260e-01
   [596] 3.273367e-01 8.038765e-01 2.598029e-01 6.114693e-01 1.645338e-01
   [601] 3.679538e-01 8.346328e-01 9.473606e-01 3.902980e-01 7.372498e-01
   [606] 8.844397e-01 7.936034e-01 3.424403e-01 2.856016e-01 2.915147e-01
   [611] 1.716847e-01 5.799813e-01 9.477497e-01 8.058804e-01 3.404311e-01
   [616] 6.255369e-02 6.590925e-01 6.560036e-01 8.112010e-01 4.636192e-01
   [621] 6.241209e-01 7.738019e-01 1.169538e-02 7.147401e-01 2.238945e-01
   [626] 2.851074e-01 8.074250e-01 8.419625e-01 8.146885e-01 8.573647e-01
   [631] 2.240341e-01 2.325607e-01 5.721279e-01 4.493570e-01 1.314060e-01
   [636] 1.150646e-01 2.234616e-01 4.985471e-01 7.199883e-01 9.670779e-01
   [641] 5.010294e-01 4.665424e-01 2.562920e-01 1.634963e-01 3.040604e-01
   [646] 7.647400e-01 6.737827e-01 4.472545e-01 9.713548e-01 4.554877e-01
   [651] 7.473768e-01 2.687867e-01 9.488509e-01 8.842801e-01 5.871071e-01
   [656] 7.726394e-01 4.135459e-01 8.442315e-02 7.387272e-02 3.912440e-01
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  [1551] 5.633654e-01 3.888850e-01 5.485550e-01 7.638686e-01 8.918567e-01
  [1556] 1.740806e-01 2.439364e-01 4.003684e-01 6.469957e-01 7.991136e-01
  [1561] 9.346474e-01 3.894622e-01 5.937302e-01 6.663786e-01 2.476522e-02
  [1566] 2.159729e-01 2.126841e-01 5.620810e-01 3.116511e-01 8.167011e-02
  [1571] 6.392368e-01 5.878221e-01 4.878438e-01 4.991530e-01 5.332443e-01
  [1576] 7.974336e-01 8.055556e-01 8.962377e-01 1.316777e-01 4.615381e-01
  [1581] 8.333071e-01 1.725319e-01 4.289715e-01 7.691883e-01 6.947859e-01
  [1586] 1.611006e-01 2.104932e-01 8.337358e-01 7.233906e-01 2.643221e-01
  [1591] 5.324400e-01 6.797288e-01 9.786868e-01 6.261359e-02 7.701271e-01
  [1596] 9.122156e-01 5.991338e-01 8.735240e-01 8.942069e-01 6.770029e-01
  [1601] 6.356244e-01 1.748222e-01 6.579633e-01 3.941282e-01 5.656187e-01
  [1606] 8.734278e-01 2.609852e-01 8.352462e-01 6.947271e-01 1.622175e-01
  [1611] 6.027343e-01 9.786644e-01 8.067084e-01 6.187405e-01 8.658512e-01
  [1616] 5.300207e-01 7.910652e-01 4.736838e-01 8.804359e-01 5.516721e-01
  [1621] 5.408244e-01 3.625396e-01 6.799377e-01 1.982012e-01 3.637106e-01
  [1626] 7.665724e-01 8.625987e-01 5.287789e-01 3.589841e-01 7.622327e-01
  [1631] 7.408553e-01 2.797737e-01 6.246476e-01 7.841745e-01 5.612273e-01
  [1636] 2.958492e-01 5.237936e-02 3.686653e-01 3.915467e-01 8.678402e-02
  [1641] 5.905127e-01 4.835819e-01 1.784913e-01 5.308226e-01 4.555304e-01
  [1646] 8.189739e-01 4.010808e-01 7.286235e-01 3.128872e-01 6.422868e-01
  [1651] 8.763392e-01 6.873058e-01 8.505805e-01 8.086032e-01 7.543712e-01
  [1656] 6.815436e-01 4.680457e-01 4.573135e-01 5.072380e-01 4.983110e-01
  [1661] 2.792824e-01 6.642165e-01 9.307500e-01 9.009777e-01 9.208480e-01
  [1666] 2.721550e-01 4.103543e-01 8.267015e-01 1.870165e-01 3.858522e-01
  [1671] 8.028531e-01 6.786798e-02 6.969900e-01 9.989463e-01 8.530834e-01
  [1676] 3.163825e-01 3.385187e-01 4.024079e-01 3.021978e-01 2.126285e-01
  [1681] 7.113056e-01 7.339262e-01 4.122492e-01 3.347911e-01 6.585786e-01
  [1686] 6.400362e-01 1.385273e-01 4.936262e-01 3.662566e-01 8.879611e-01
  [1691] 9.643248e-01 8.237782e-01 8.635978e-01 3.046566e-01 6.935274e-01
  [1696] 8.970101e-01 4.137077e-01 4.373990e-01 2.521235e-01 8.761631e-01
  [1701] 6.513258e-01 4.056696e-01 8.367442e-01 7.524963e-01 7.945352e-02
  [1706] 9.143136e-01 7.842729e-02 2.247380e-01 2.218164e-01 5.087304e-01
  [1711] 2.213274e-01 9.967737e-01 1.210993e-01 5.035664e-01 8.536606e-02
  [1716] 6.257455e-01 9.815518e-01 6.521217e-01 2.746306e-01 3.091365e-01
  [1721] 8.004181e-02 3.043068e-01 4.904499e-01 9.572477e-01 8.902307e-01
  [1726] 2.570798e-01 3.267874e-01 4.268866e-01 6.960491e-01 1.424157e-01
  [1731] 8.367332e-01 7.073038e-03 2.707498e-01 8.493760e-01 9.550449e-03
  [1736] 5.562098e-01 4.958246e-01 4.343907e-01 9.806998e-01 3.390901e-01
  [1741] 2.343364e-01 9.166019e-01 2.109712e-01 1.793622e-01 8.419697e-01
  [1746] 7.545421e-01 1.793397e-01 4.057764e-01 7.054735e-01 6.460672e-01
  [1751] 6.784016e-01 9.686452e-01 3.385627e-01 9.309632e-01 8.920653e-02
  [1756] 6.561308e-01 9.480643e-01 2.898596e-01 9.743469e-01 1.737194e-01
  [1761] 9.936351e-01 4.026729e-01 6.532949e-01 1.069491e-01 2.813623e-01
  [1766] 9.929966e-01 4.605313e-01 6.927391e-02 8.006070e-01 7.619325e-01
  [1771] 7.440421e-01 3.959194e-01 2.831733e-01 6.743555e-01 5.567207e-01
  [1776] 7.703963e-01 7.867098e-01 6.523398e-01 9.915926e-01 6.457459e-01
  [1781] 2.999364e-02 3.830515e-01 9.756342e-01 3.418372e-01 9.794548e-01
  [1786] 8.283084e-01 1.818277e-01 3.165923e-01 6.467323e-01 8.222152e-01
  [1791] 7.944233e-01 7.805958e-01 2.452229e-01 9.394312e-01 3.444336e-01
  [1796] 5.871570e-01 7.374257e-02 2.630100e-01 2.310506e-01 3.062143e-01
  [1801] 9.705646e-01 5.763256e-01 4.652647e-01 4.882481e-01 2.165402e-01
  [1806] 2.886078e-01 6.863574e-02 4.557227e-01 2.975629e-01 6.344871e-01
  [1811] 3.775921e-01 4.833134e-01 5.204148e-01 1.454630e-01 5.491817e-02
  [1816] 4.814358e-01 2.839184e-01 5.510204e-01 3.875126e-01 6.634416e-01
  [1821] 6.819398e-01 7.387751e-01 9.505980e-01 7.847079e-01 7.702357e-01
  [1826] 1.527102e-01 3.016506e-01 6.030688e-01 9.107748e-01 6.490335e-01
  [1831] 5.554904e-01 9.093050e-02 5.658187e-01 1.299125e-01 8.127387e-02
  [1836] 7.528330e-01 3.835768e-01 6.265012e-01 9.198989e-01 1.203724e-01
  [1841] 3.750999e-01 4.182320e-02 3.058294e-02 3.501205e-01 8.799800e-01
  [1846] 9.193609e-01 8.335506e-01 1.089811e-01 5.476247e-01 4.810724e-01
  [1851] 1.052306e-01 7.935536e-01 6.651186e-01 5.412545e-01 9.238642e-01
  [1856] 7.511842e-01 2.662764e-01 6.206501e-01 8.973158e-01 7.425901e-01
  [1861] 2.164970e-02 3.871416e-01 6.402336e-01 5.588251e-01 8.182336e-01
  [1866] 6.313329e-01 9.632984e-01 3.791546e-01 4.078598e-01 7.458913e-01
  [1871] 1.207054e-01 6.203830e-01 3.205546e-01 6.908017e-01 4.589400e-01
  [1876] 9.445042e-01 1.588145e-01 2.981081e-01 2.887216e-01 3.771091e-01
  [1881] 3.977111e-01 9.664684e-02 1.309399e-03 3.131238e-02 2.531665e-02
  [1886] 2.409662e-01 3.585883e-01 7.728396e-02 1.580877e-01 4.372247e-01
  [1891] 3.828360e-01 4.438088e-01 2.214736e-01 8.214286e-01 8.947140e-01
  [1896] 6.357021e-01 2.932642e-01 2.669675e-01 7.354881e-01 6.439454e-01
  [1901] 3.037973e-01 2.520115e-02 6.294930e-01 9.036597e-01 7.391227e-01
  [1906] 4.298800e-01 2.481875e-01 5.922814e-01 3.205836e-02 9.171773e-01
  [1911] 9.130999e-01 7.396590e-01 5.329495e-01 7.582370e-01 5.607042e-02
  [1916] 1.279158e-01 8.018491e-02 1.573985e-01 5.625951e-01 8.994232e-01
  [1921] 3.144514e-01 3.014146e-01 3.033455e-01 2.447223e-01 5.135580e-01
  [1926] 4.287882e-01 4.810759e-01 9.122045e-02 4.278941e-01 8.201120e-01
  [1931] 4.707984e-01 9.984247e-01 3.827774e-01 7.691748e-02 6.889007e-02
  [1936] 9.613293e-02 3.089411e-01 5.682266e-01 7.586998e-01 4.733788e-01
  [1941] 8.125499e-01 5.106130e-01 7.561990e-01 1.079533e-01 7.446757e-01
  [1946] 6.250698e-01 2.822708e-01 8.584519e-01 2.845019e-01 4.448526e-02
  [1951] 7.925481e-01 5.067665e-01 2.044270e-01 6.116054e-01 2.654199e-01
  [1956] 1.881973e-01 6.273823e-01 4.347607e-01 7.568048e-01 1.099910e-01
  [1961] 3.030874e-02 8.491319e-01 9.335413e-01 3.924604e-02 1.373110e-01
  [1966] 7.294978e-01 5.473202e-01 5.782072e-02 4.591575e-02 5.189686e-01
  [1971] 8.336904e-01 3.363625e-01 9.927966e-01 1.364785e-01 7.248630e-01
  [1976] 1.149725e-01 9.688869e-01 4.118883e-01 7.668236e-02 7.909641e-01
  [1981] 3.811352e-01 5.191034e-01 3.066256e-01 9.164303e-01 4.470176e-01
  [1986] 9.413070e-01 1.615571e-01 5.261324e-01 3.064154e-01 2.744830e-01
  [1991] 3.812550e-01 8.605522e-01 7.524179e-02 1.060945e-01 6.501190e-01
  [1996] 7.720566e-01 4.903520e-01 6.261153e-01 1.385481e-01 3.871983e-01
  [2001] 3.029674e-01 4.269908e-01 2.242440e-01 6.994700e-01 1.365910e-01
  [2006] 9.017873e-01 1.757403e-01 4.615632e-01 9.978880e-02 7.538737e-01
  [2011] 2.533572e-01 6.305204e-01 2.955404e-01 1.428332e-01 9.067028e-02
  [2016] 2.245542e-01 5.850068e-01 3.230094e-01 1.347043e-01 8.082113e-01
  [2021] 1.841845e-01 5.318728e-01 3.296925e-01 7.016191e-01 9.470142e-01
  [2026] 7.843537e-01 3.359759e-01 9.681412e-01 4.681574e-01 7.401660e-02
  [2031] 4.562862e-01 3.649126e-01 8.175314e-01 2.450078e-01 3.010839e-01
  [2036] 3.863024e-01 5.553672e-01 9.141368e-01 1.016522e-01 9.054341e-01
  [2041] 2.175084e-01 4.733820e-01 8.825670e-01 5.683706e-01 5.422458e-01
  [2046] 9.603256e-01 9.412535e-01 4.227109e-01 8.400804e-01 4.259921e-02
  [2051] 4.394919e-01 4.284534e-02 7.122619e-01 9.382794e-01 9.916432e-01
  [2056] 1.251060e-01 6.319261e-01 7.218404e-01 9.230167e-01 8.668397e-01
  [2061] 2.958368e-02 1.517480e-01 5.968971e-01 9.071964e-01 1.922612e-01
  [2066] 7.583261e-01 2.974767e-03 9.673310e-01 4.585675e-02 2.071671e-01
  [2071] 4.807354e-01 3.788718e-01 2.913731e-01 4.392698e-01 1.013809e-02
  [2076] 6.318424e-01 6.422862e-01 1.809836e-01 6.380787e-01 9.127252e-01
  [2081] 4.778282e-01 8.209472e-01 6.914383e-01 1.479946e-01 4.832954e-01
  [2086] 1.224590e-01 4.290878e-01 4.916049e-01 3.767744e-01 4.389998e-01
  [2091] 5.068160e-01 6.380730e-01 2.001335e-01 8.032297e-01 1.995815e-01
  [2096] 9.686542e-01 9.527867e-02 7.713791e-01 1.129822e-01 5.727596e-01
  [2101] 2.560492e-01 6.467303e-01 7.074569e-01 5.299693e-01 4.755142e-01
  [2106] 4.191453e-02 2.200030e-01 7.075150e-01 1.271854e-01 5.232292e-01
  [2111] 7.554846e-01 4.506839e-01 3.077785e-01 9.022497e-01 8.845952e-01
  [2116] 3.080493e-01 8.966420e-01 4.346960e-01 3.679688e-02 5.188345e-01
  [2121] 8.242465e-01 6.397818e-02 4.141398e-01 1.565146e-01 1.228273e-02
  [2126] 8.412343e-01 1.519854e-01 3.778929e-01 5.908730e-01 1.456681e-01
  [2131] 1.589305e-01 3.929371e-02 7.002082e-03 3.406262e-01 7.627763e-01
  [2136] 2.326362e-02 5.732926e-01 1.326203e-01 2.887130e-02 7.529991e-01
  [2141] 3.882269e-01 4.342825e-01 8.782384e-01 7.891996e-02 8.546777e-01
  [2146] 1.518790e-01 2.019084e-02 9.736302e-01 5.281264e-01 7.430322e-01
  [2151] 9.954934e-01 6.857206e-01 8.810635e-01 6.251269e-01 5.458312e-01
  [2156] 5.688148e-01 2.238979e-02 9.499211e-01 9.922242e-01 5.339314e-01
  [2161] 4.708889e-01 4.537701e-01 2.465584e-01 1.485234e-01 2.681502e-01
  [2166] 9.184749e-01 1.616945e-01 5.192278e-01 9.616105e-01 8.345353e-01
  [2171] 8.575686e-01 5.032248e-01 6.609288e-01 2.674961e-01 8.354275e-01
  [2176] 3.561569e-01 7.893499e-01 7.235526e-01 3.947890e-01 6.511390e-01
  [2181] 2.419862e-01 6.531538e-01 3.310688e-01 8.394166e-01 7.670945e-02
  [2186] 9.188455e-01 3.857416e-01 8.407708e-01 4.273035e-01 5.266929e-01
  [2191] 5.198191e-01 2.435005e-01 9.403120e-01 8.895534e-01 9.450444e-01
  [2196] 9.215092e-01 2.127545e-01 5.480094e-01 1.154995e-01 8.957498e-01
  [2201] 5.942107e-01 1.790160e-01 2.198453e-01 5.064167e-01 8.874452e-01
  [2206] 4.831142e-01 6.551492e-01 4.823089e-01 6.654572e-01 7.514233e-01
  [2211] 4.916487e-01 3.570320e-01 8.221084e-01 3.688122e-01 3.105689e-01
  [2216] 2.938121e-01 1.327425e-01 2.277122e-02 4.142043e-01 6.601277e-01
  [2221] 3.070481e-02 6.895609e-01 7.125221e-01 2.101230e-01 3.961127e-01
  [2226] 4.911255e-01 6.587740e-01 1.339531e-01 9.358424e-01 6.766268e-02
  [2231] 6.769619e-01 5.691488e-01 4.322376e-01 3.531470e-01 5.145007e-02
  [2236] 3.270977e-01 2.848392e-01 7.673260e-01 8.678304e-01 5.872691e-01
  [2241] 7.485884e-01 5.683403e-01 7.524338e-01 5.361435e-01 7.435153e-01
  [2246] 3.055687e-01 9.350065e-01 7.930029e-01 5.261768e-01 4.102182e-03
  [2251] 7.093697e-01 9.886139e-01 2.148537e-01 4.429183e-01 4.318665e-01
  [2256] 7.004609e-02 5.618588e-01 7.538859e-01 4.831010e-01 1.014837e-01
  [2261] 7.829780e-01 8.653733e-01 9.553781e-01 4.312143e-01 2.007146e-01
  [2266] 7.996229e-01 4.683427e-01 1.967428e-01 9.323545e-01 5.282416e-01
  [2271] 6.863248e-01 7.617766e-01 6.128225e-01 6.632530e-01 8.269613e-01
  [2276] 7.351281e-01 1.705916e-02 1.026024e-01 3.086491e-01 4.131526e-01
  [2281] 1.378953e-01 2.506355e-01 4.426529e-01 1.658500e-02 3.640421e-02
  [2286] 2.203737e-01 1.046413e-01 3.617750e-01 2.650764e-01 4.350194e-01
  [2291] 9.111801e-01 2.679973e-01 8.541484e-01 3.402693e-01 7.806198e-01
  [2296] 6.967531e-01 4.011270e-01 3.410202e-01 1.301114e-01 2.318026e-01
  [2301] 8.754559e-02 8.265526e-01 5.381909e-01 8.840005e-01 9.190458e-01
  [2306] 6.735495e-02 5.173347e-01 1.570990e-01 9.996382e-01 5.911572e-01
  [2311] 5.698764e-01 4.645244e-01 8.130859e-02 6.839100e-01 1.791319e-01
  [2316] 4.572573e-01 7.726374e-01 1.296203e-01 6.431299e-01 1.545840e-01
  [2321] 1.621538e-02 4.283014e-01 4.151043e-01 3.532042e-01 5.133215e-01
  [2326] 1.648495e-01 8.556361e-01 1.292660e-01 5.384828e-01 5.287455e-01
  [2331] 2.225334e-01 9.849050e-01 1.526062e-01 3.416011e-01 2.777148e-01
  [2336] 8.409014e-01 9.092862e-02 9.073097e-01 9.802244e-01 9.522393e-01
  [2341] 4.363295e-01 4.034455e-01 3.546419e-01 2.000899e-01 9.139783e-01
  [2346] 8.033183e-01 8.385486e-02 5.127969e-01 3.343317e-01 8.652565e-02
  [2351] 4.690953e-01 7.341338e-01 6.396993e-01 8.113207e-01 2.679004e-01
  [2356] 4.031779e-01 1.676584e-01 5.418401e-01 1.804813e-01 4.876612e-01
  [2361] 9.733256e-01 2.797119e-01 4.773070e-01 8.395425e-01 4.085318e-02
  [2366] 4.848293e-01 3.737314e-01 1.801020e-01 7.945596e-01 1.343157e-01
  [2371] 7.127375e-01 9.690430e-01 8.848342e-01 9.935694e-01 2.579174e-01
  [2376] 8.357170e-01 4.092989e-01 9.807392e-01 3.990850e-01 6.879051e-01
  [2381] 8.468452e-01 6.515173e-01 3.899959e-01 5.866913e-01 3.821797e-01
  [2386] 9.491703e-01 2.253078e-01 2.652905e-01 8.076236e-01 6.127766e-01
  [2391] 6.835462e-01 2.143868e-01 3.190799e-02 7.911976e-01 1.358870e-01
  [2396] 6.670420e-02 1.007381e-01 8.016450e-01 7.340947e-01 3.562755e-01
  [2401] 4.565841e-02 1.931189e-01 6.405675e-01 9.735997e-01 5.785485e-01
  [2406] 5.615666e-01 6.036048e-02 4.487505e-01 2.192148e-01 1.959090e-01
  [2411] 1.549153e-01 2.607502e-01 5.287328e-01 3.489804e-01 9.368335e-01
  [2416] 6.813203e-01 2.720921e-01 2.965283e-01 3.258685e-01 2.121835e-01
  [2421] 2.478776e-01 7.501331e-01 1.762057e-01 7.216978e-01 4.934317e-02
  [2426] 1.745400e-01 4.532208e-01 4.012191e-01 7.073980e-01 4.159841e-01
  [2431] 3.562313e-01 3.001637e-01 2.188264e-01 7.431928e-02 2.537703e-01
  [2436] 5.446835e-01 1.679161e-01 8.061745e-01 7.733955e-01 6.508143e-01
  [2441] 3.104642e-01 9.917424e-01 2.914188e-01 8.241803e-01 1.561058e-01
  [2446] 9.695142e-01 8.692601e-01 8.441107e-01 7.943952e-01 4.754178e-01
  [2451] 1.667078e-01 1.908527e-01 5.660273e-01 4.713775e-01 3.687498e-01
  [2456] 8.375713e-01 9.365514e-01 9.284894e-01 7.996996e-01 1.823085e-01
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 [19701] 7.904938e-01 5.533517e-01 5.891956e-01 1.869414e-01 6.064266e-01
 [19706] 3.300236e-01 8.271630e-01 3.992042e-01 5.346707e-01 1.169852e-01
 [19711] 7.456802e-01 6.284630e-01 6.259826e-01 3.102545e-01 1.759683e-01
 [19716] 2.722312e-01 6.740490e-01 7.977104e-01 6.533811e-01 1.019243e-01
 [19721] 9.728418e-01 5.976427e-01 5.720069e-01 8.835159e-01 4.398848e-01
 [19726] 3.210283e-01 6.894820e-01 6.183561e-01 2.484734e-01 5.338862e-01
 [19731] 6.128892e-01 7.264802e-01 4.822340e-01 5.083797e-03 5.037681e-01
 [19736] 5.911287e-01 2.812540e-01 3.182134e-01 3.831140e-02 4.583619e-01
 [19741] 8.972177e-01 3.340605e-01 9.209897e-01 1.886628e-01 2.349747e-01
 [19746] 6.921827e-01 1.689810e-01 3.653279e-01 8.434767e-01 2.830970e-02
 [19751] 6.649040e-01 2.320818e-01 2.151259e-01 8.260578e-01 5.467323e-01
 [19756] 8.108012e-02 2.153558e-01 6.423526e-01 3.417843e-01 8.644237e-01
 [19761] 3.950360e-01 6.574896e-01 7.736357e-01 2.913331e-01 6.939052e-01
 [19766] 8.127048e-03 9.283935e-01 7.397846e-01 9.765033e-01 5.393244e-01
 [19771] 5.929483e-01 6.600068e-01 1.027913e-01 2.298005e-01 5.957848e-01
 [19776] 3.919894e-01 7.383628e-02 4.549645e-01 7.677461e-02 8.066909e-01
 [19781] 7.634174e-01 9.220300e-01 3.723346e-01 9.130057e-01 4.837152e-01
 [19786] 7.390623e-01 3.860033e-01 5.028010e-01 9.273651e-01 4.616112e-01
 [19791] 8.890652e-01 4.741997e-01 9.290338e-01 4.238665e-02 9.642673e-01
 [19796] 5.484392e-01 2.180932e-02 4.761202e-01 9.300898e-01 5.399275e-01
 [19801] 2.645781e-01 2.606155e-01 1.313195e-01 5.122961e-01 8.524312e-01
 [19806] 6.015876e-01 3.564394e-01 6.507137e-01 6.677281e-01 9.341480e-01
 [19811] 5.246624e-01 7.770639e-01 8.959794e-01 2.974053e-01 2.543861e-01
 [19816] 4.043257e-01 8.633035e-01 2.541134e-03 3.661930e-01 7.171673e-01
 [19821] 4.380507e-01 3.399578e-02 8.257476e-01 5.377468e-01 1.102452e-01
 [19826] 9.690055e-01 2.100198e-01 1.387825e-01 4.924025e-01 4.810276e-01
 [19831] 4.302963e-01 4.742875e-01 2.446411e-01 8.545313e-02 3.156413e-01
 [19836] 8.835468e-01 8.308228e-01 6.441836e-01 9.509278e-04 1.987791e-02
 [19841] 7.758558e-01 6.685548e-01 8.599933e-01 8.226865e-01 7.811952e-01
 [19846] 9.615270e-01 6.800259e-01 2.329108e-01 3.359306e-01 6.506128e-02
 [19851] 1.796055e-01 9.075056e-01 3.210814e-01 3.821040e-01 4.376686e-01
 [19856] 5.596364e-01 5.958430e-01 5.801831e-01 8.258209e-01 5.389648e-01
 [19861] 6.825471e-02 5.364378e-01 3.854749e-01 2.997266e-01 5.011923e-01
 [19866] 9.517988e-01 2.535211e-01 9.124574e-01 3.351498e-01 7.746188e-01
 [19871] 6.932595e-01 8.979682e-01 1.982000e-01 4.721228e-01 8.703044e-01
 [19876] 4.738500e-01 9.742136e-01 8.598413e-01 4.419111e-01 4.261663e-01
 [19881] 8.933606e-01 6.893143e-01 6.512612e-01 3.736689e-01 9.066514e-01
 [19886] 6.268367e-01 9.893550e-01 9.028649e-02 7.673153e-01 6.403871e-01
 [19891] 7.468116e-01 4.857263e-01 3.488010e-01 6.732256e-01 6.110567e-01
 [19896] 6.292007e-01 6.982867e-02 7.203801e-01 5.011633e-02 7.662483e-02
 [19901] 6.058830e-01 5.700146e-01 9.462767e-01 2.860563e-01 7.987601e-01
 [19906] 1.871477e-01 6.662868e-01 2.123817e-01 6.506031e-01 7.417883e-01
 [19911] 3.204220e-01 9.846257e-01 5.996001e-01 1.398307e-01 2.396385e-01
 [19916] 7.072465e-03 7.437534e-01 8.975349e-01 5.168612e-01 1.291183e-01
 [19921] 5.669399e-01 6.426955e-01 7.296444e-01 9.423369e-01 2.863697e-01
 [19926] 7.986352e-02 1.394049e-01 2.379478e-01 3.084569e-01 5.513371e-01
 [19931] 4.552133e-01 9.330896e-01 6.886767e-01 6.496451e-01 8.207314e-02
 [19936] 6.280709e-01 1.378594e-01 6.917912e-01 3.549611e-01 5.105166e-01
 [19941] 3.558244e-01 9.139466e-01 3.420690e-01 4.420226e-01 1.431449e-01
 [19946] 4.686074e-02 7.908447e-01 7.101724e-01 6.178397e-01 9.469616e-01
 [19951] 2.158002e-01 3.733813e-01 9.138094e-01 4.918824e-02 8.168738e-01
 [19956] 7.502606e-01 1.413090e-01 8.659878e-01 7.673650e-01 9.850626e-01
 [19961] 8.305851e-01 6.324171e-01 8.454653e-01 2.669043e-01 8.537860e-02
 [19966] 9.787609e-01 9.237812e-01 7.870562e-01 8.488681e-01 5.236970e-01
 [19971] 3.489075e-01 2.552816e-01 5.109110e-01 1.071956e-01 3.912388e-01
 [19976] 9.222139e-02 4.654622e-01 3.200430e-01 9.841308e-01 4.945906e-01
 [19981] 2.090421e-01 5.841746e-02 1.521207e-01 5.958499e-01 9.704860e-01
 [19986] 6.418314e-01 8.133242e-01 2.461837e-01 6.746535e-01 7.763462e-01
 [19991] 4.223603e-01 8.554279e-02 3.593072e-01 5.795534e-01 1.248397e-01
 [19996] 4.394578e-01 6.186530e-01 5.941092e-01 8.187658e-01 5.122331e-01
 [20001] 9.869652e-01 9.081947e-01 8.363913e-01 4.242726e-01 4.847398e-01
 [20006] 9.698228e-01 1.307122e-01 9.002425e-01 2.913566e-01 1.185147e-01
 [20011] 2.968939e-01 8.720641e-01 7.410444e-01 6.311750e-01 5.234856e-01
 [20016] 9.724461e-01 1.719129e-01 8.171336e-01 9.026834e-01 9.400336e-01
 [20021] 7.096458e-01 2.912779e-04 1.335735e-02 3.651718e-01 4.749054e-01
 [20026] 4.098145e-01 7.834374e-01 9.553325e-01 8.745367e-01 1.239136e-01
 [20031] 9.728693e-02 3.278940e-01 5.787814e-01 8.121801e-01 3.708150e-01
 [20036] 6.602038e-01 5.402593e-01 3.278031e-01 8.032765e-01 4.671148e-01
 [20041] 3.726722e-01 6.293947e-01 8.345337e-02 7.121221e-01 9.278602e-01
 [20046] 4.806211e-01 2.626367e-01 8.068754e-01 3.550860e-01 6.979666e-01
 [20051] 4.901997e-02 5.746127e-01 1.718193e-01 3.098581e-01 9.797839e-05
 [20056] 5.099046e-01 6.314403e-01 2.736372e-01 1.252223e-01 8.786749e-01
 [20061] 3.229079e-01 9.810959e-01 7.078374e-01 5.407510e-01 9.593760e-01
 [20066] 1.469837e-01 9.281393e-01 9.941426e-01 7.185661e-01 4.267025e-02
 [20071] 6.018283e-01 7.510584e-01 1.107329e-01 5.549771e-01 6.998075e-01
 [20076] 7.518854e-01 7.680858e-01 6.105133e-01 6.682885e-01 9.283571e-01
 [20081] 9.510010e-01 6.948502e-01 1.569482e-01 8.403398e-01 4.359327e-01
 [20086] 6.017334e-01 3.295922e-01 5.547721e-01 8.129311e-01 6.784047e-01
 [20091] 5.808121e-02 7.167976e-01 9.414258e-01 8.871106e-01 2.711781e-01
 [20096] 3.202314e-01 5.411426e-01 7.932384e-01 3.230543e-01 5.397051e-01
 [20101] 3.207890e-01 2.197596e-02 7.310342e-01 1.660607e-01 7.614196e-01
 [20106] 5.669978e-01 5.252875e-01 4.599904e-01 2.450099e-01 8.058115e-01
 [20111] 4.278524e-01 6.425259e-02 3.176721e-01 9.117961e-01 7.353472e-01
 [20116] 3.434644e-01 8.072771e-01 1.454334e-01 3.198723e-01 7.958994e-01
 [20121] 6.919760e-01 3.787698e-01 1.483049e-01 6.220710e-01 3.886749e-01
 [20126] 5.013840e-01 1.142573e-01 8.113148e-01 3.758306e-01 7.669764e-01
 [20131] 8.795216e-01 2.690125e-01 1.049909e-01 3.006790e-01 2.414999e-01
 [20136] 3.392257e-01 1.248580e-01 3.790903e-01 9.077969e-01 5.680374e-01
 [20141] 2.693134e-01 7.406411e-01 4.113809e-01 8.456819e-01 6.346156e-01
 [20146] 2.184549e-01 6.528960e-01 1.985966e-01 1.839505e-01 1.471912e-01
 [20151] 4.416593e-01 5.709069e-01 9.405815e-01 1.399872e-01 6.094993e-01
 [20156] 4.693054e-01 3.779116e-01 7.598730e-01 7.070809e-01 4.983878e-01
 [20161] 8.232100e-01 6.305607e-01 5.934216e-01 5.708662e-01 9.320335e-01
 [20166] 2.254360e-01 3.021593e-01 9.025000e-01 5.702078e-01 6.566554e-01
 [20171] 1.808038e-01 6.926003e-01 8.696112e-01 3.500954e-02 6.310513e-01
 [20176] 8.666689e-01 1.604485e-02 1.391424e-01 5.899591e-01 5.565929e-01
 [20181] 2.755494e-01 7.286438e-01 4.501747e-01 3.546323e-01 6.922041e-01
 [20186] 6.125910e-01 1.407575e-02 2.119420e-01 1.974167e-01 2.236601e-01
 [20191] 5.441207e-01 7.045032e-01 9.156536e-01 8.463417e-02 6.692696e-01
 [20196] 1.528335e-01 3.868926e-01 4.959328e-01 6.842023e-01 5.837805e-01
 [20201] 9.318878e-01 7.740412e-01 1.951080e-01 1.149312e-01 9.498385e-01
 [20206] 3.675046e-01 2.534357e-01 6.365746e-01 5.483392e-01 1.929543e-01
 [20211] 7.925184e-01 2.322134e-01 3.629580e-01 2.755368e-02 1.114374e-01
 [20216] 9.144499e-01 7.294776e-01 3.052010e-01 1.066746e-01 9.994460e-01
 [20221] 8.783364e-01 2.372549e-01 5.161430e-02 2.135818e-01 4.170288e-02
 [20226] 7.664823e-01 1.824086e-01 3.645659e-01 4.548417e-01 8.184983e-01
 [20231] 4.186706e-01 8.964907e-01 3.729453e-01 5.145773e-01 1.342539e-01
 [20236] 4.510711e-01 6.249930e-01 4.550682e-01 4.313112e-01 9.355049e-01
 [20241] 9.830776e-01 9.377961e-01 7.217516e-01 7.804012e-01 5.919417e-02
 [20246] 9.767732e-01 1.725039e-01 4.350369e-01 3.333517e-01 4.551448e-01
 [20251] 7.749744e-01 3.163427e-01 9.624887e-01 9.555383e-01 6.186251e-01
 [20256] 9.114400e-01 5.327776e-01 1.770724e-01 8.619502e-01 2.522517e-01
 [20261] 9.515683e-01 1.024527e-01 8.089168e-02 9.450280e-01 6.501656e-01
 [20266] 9.299372e-01 8.432258e-01 4.451009e-01 8.349307e-01 3.038375e-01
 [20271] 7.619897e-01 5.720792e-02 7.368354e-01 1.132946e-01 8.115347e-01
 [20276] 5.681345e-01 6.483302e-01 3.172654e-02 7.399364e-01 4.722170e-01
 [20281] 3.831669e-01 5.663944e-01 2.485944e-02 5.170848e-02 7.853472e-01
 [20286] 1.323907e-01 9.098242e-01 6.254770e-01 8.271515e-01 1.081316e-01
 [20291] 9.030820e-01 2.567019e-01 6.632382e-01 4.904451e-01 8.939860e-01
 [20296] 2.102325e-02 9.338898e-01 7.739735e-01 7.267353e-01 6.452366e-01
 [20301] 1.892109e-01 3.130503e-01 3.372192e-03 8.240398e-01 1.178536e-01
 [20306] 4.473932e-01 5.473100e-03 5.142208e-02 1.327447e-01 7.266235e-01
 [20311] 8.271817e-01 5.773449e-01 2.316011e-02 8.557621e-01 7.348697e-01
 [20316] 3.947319e-01 7.855394e-02 8.585214e-01 1.920135e-02 3.710798e-01
 [20321] 7.848632e-01 1.670695e-01 4.834952e-01 7.952412e-01 2.337334e-01
 [20326] 3.233276e-02 3.544798e-01 4.289964e-01 3.449538e-01 6.539710e-01
 [20331] 7.229550e-01 2.469578e-01 5.824883e-03 1.523365e-01 3.349668e-01
 [20336] 2.228619e-01 5.810494e-01 1.099840e-01 4.910083e-01 9.431017e-01
 [20341] 7.950147e-01 9.305174e-01 6.891151e-02 1.007910e-01 9.176428e-01
 [20346] 1.448351e-01 6.775976e-01 1.488495e-01 1.670794e-01 3.177410e-01
 [20351] 9.461547e-01 5.656521e-01 3.842419e-01 5.546095e-01 6.087529e-01
 [20356] 8.644035e-01 6.781668e-01 8.533465e-01 3.301325e-01 8.547668e-01
 [20361] 5.662860e-01 8.855680e-01 3.002273e-01 6.266252e-01 8.013283e-01
 [20366] 1.657329e-01 9.605720e-01 9.964368e-01 4.878044e-01 9.746998e-01
 [20371] 2.470198e-01 1.530836e-01 8.753624e-01 9.341160e-01 1.700191e-01
 [20376] 5.182117e-01 8.535260e-01 7.089199e-01 7.003389e-01 2.176475e-01
 [20381] 3.470889e-01 8.064253e-01 2.361802e-01 6.063895e-01 9.182787e-01
 [20386] 3.757087e-01 5.710692e-01 4.435782e-01 4.139333e-01 2.427259e-01
 [20391] 8.222354e-01 5.164721e-01 4.751834e-01 1.014618e-01 8.339511e-01
 [20396] 6.137514e-02 8.269872e-01 1.211088e-01 2.832834e-01 4.071471e-01
 [20401] 3.587381e-01 9.946031e-01 3.461656e-01 2.158822e-01 2.106791e-01
 [20406] 5.020040e-01 9.684330e-01 8.243253e-02 2.529715e-01 6.528852e-01
 [20411] 8.617005e-01 5.973697e-01 7.907871e-01 2.307230e-01 3.271077e-01
 [20416] 1.834979e-01 4.318938e-01 7.815812e-01 1.555954e-01 8.555014e-01
 [20421] 6.643461e-01 6.915217e-01 7.625355e-03 6.925002e-01 1.373457e-02
 [20426] 9.536423e-01 5.266762e-01 7.305543e-01 8.917550e-01 6.151886e-01
 [20431] 2.458082e-01 2.883057e-01 6.020826e-01 6.040047e-01 8.293144e-01
 [20436] 6.773466e-01 8.283464e-01 9.007077e-01 3.222389e-01 1.507692e-01
 [20441] 6.098969e-01 4.111771e-01 7.331911e-01 3.650617e-01 8.703069e-01
 [20446] 4.561525e-02 2.679071e-01 1.899881e-01 2.587017e-01 9.681478e-01
 [20451] 5.289157e-01 3.651800e-01 5.112786e-01 7.257282e-01 1.434462e-01
 [20456] 6.399904e-01 2.484704e-01 2.689772e-01 7.731824e-01 1.040533e-02
 [20461] 8.747075e-01 5.379818e-01 9.240510e-01 6.624382e-02 9.282344e-01
 [20466] 7.855694e-01 5.949411e-02 8.228976e-01 1.810431e-01 5.611624e-01
 [20471] 6.298246e-01 8.342477e-01 2.891438e-03 7.637269e-01 9.212640e-01
 [20476] 2.671667e-02 4.649479e-01 6.988562e-01 7.240098e-01 2.879953e-02
 [20481] 4.160577e-01 5.090405e-01 9.113198e-01 3.366416e-01 4.346830e-01
 [20486] 9.746290e-01 7.089661e-01 3.834222e-01 2.699437e-01 8.033578e-01
 [20491] 1.126568e-01 2.264279e-01 3.594494e-01 7.382502e-01 2.280243e-01
 [20496] 7.964715e-01 9.783395e-01 1.429025e-01 1.542455e-01 1.448966e-01
 [20501] 6.429087e-01 7.724754e-01 7.526947e-01 7.714614e-02 5.687631e-01
 [20506] 9.162945e-01 7.374360e-01 9.923366e-01 8.805659e-01 6.497498e-01
 [20511] 9.914880e-01 4.442592e-01 7.255059e-01 9.910380e-01 6.123284e-01
 [20516] 6.380956e-01 1.543667e-01 9.931167e-01 9.258623e-01 2.082514e-01
 [20521] 6.074278e-01 2.808235e-01 2.820218e-01 8.641772e-01 9.224384e-01
 [20526] 5.490709e-01 9.096006e-01 3.241512e-02 1.156208e-01 6.287738e-01
 [20531] 6.717520e-01 4.456942e-01 9.052978e-02 9.890836e-01 4.402984e-01
 [20536] 3.588923e-01 4.270193e-01 5.356039e-01 2.571874e-01 9.925675e-01
 [20541] 4.466385e-01 3.328343e-01 4.809927e-01 2.315537e-01 1.273065e-01
 [20546] 2.893249e-02 6.157139e-03 8.520165e-01 1.095127e-01 3.665423e-01
 [20551] 5.281717e-02 6.875158e-01 8.526425e-02 2.731171e-01 8.399034e-01
 [20556] 4.222423e-01 8.976319e-01 4.796515e-01 7.178593e-01 4.951817e-01
 [20561] 7.401602e-01 9.298864e-01 3.773701e-01 7.763433e-01 1.695318e-01
 [20566] 3.703297e-01 2.600733e-01 4.976880e-01 2.523513e-01 4.343251e-01
 [20571] 7.915679e-01 9.827671e-02 6.866026e-01 1.025579e-01 5.242972e-01
 [20576] 4.793609e-01 2.556636e-02 6.859057e-01 3.471123e-03 8.682951e-01
 [20581] 8.612526e-01 3.526657e-01 6.216491e-01 3.821186e-01 3.681682e-02
 [20586] 1.208020e-01 9.496481e-01 4.228731e-01 4.185401e-01 4.821524e-01
 [20591] 6.197807e-01 5.042443e-01 7.134919e-01 4.080034e-01 4.015124e-01
 [20596] 8.665563e-01 7.675043e-01 5.753409e-01 4.956381e-01 8.850046e-01
 [20601] 4.208966e-01 9.364161e-01 2.093370e-01 7.557358e-01 4.985850e-01
 [20606] 3.735513e-01 2.038559e-01 5.463460e-01 3.607620e-01 8.563653e-02
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 [99206] 4.240735e-01 6.761772e-01 2.712680e-01 6.153167e-01 3.577019e-02
 [99211] 2.098772e-01 8.462080e-02 9.047362e-01 9.109290e-01 7.228490e-01
 [99216] 5.075235e-01 3.815314e-01 3.012965e-01 4.239517e-02 3.069195e-01
 [99221] 6.613344e-01 2.607706e-01 4.880625e-01 1.840125e-01 2.505587e-01
 [99226] 4.606901e-01 7.200114e-01 1.875958e-02 8.900825e-01 1.943177e-01
 [99231] 7.140162e-01 1.769583e-02 8.766566e-02 8.246989e-01 3.906821e-01
 [99236] 1.659510e-01 2.510645e-01 3.874527e-01 5.487818e-01 8.296480e-02
 [99241] 5.293051e-01 4.166186e-01 5.768496e-01 3.966953e-01 1.145349e-01
 [99246] 6.785471e-01 2.100131e-01 9.032141e-01 2.294679e-01 3.482340e-01
 [99251] 3.829470e-01 3.186945e-01 1.701364e-01 3.862295e-01 2.387885e-01
 [99256] 8.711212e-02 6.412184e-01 4.855724e-01 2.576170e-02 2.880590e-01
 [99261] 6.332517e-01 3.117187e-01 7.970766e-01 3.779223e-01 7.645748e-01
 [99266] 7.855540e-02 6.154696e-01 1.943193e-01 5.534091e-01 8.213295e-01
 [99271] 4.093349e-01 1.974441e-01 5.596786e-01 6.262504e-01 2.913249e-01
 [99276] 4.247640e-01 9.288553e-01 6.151729e-01 8.198806e-01 4.511548e-01
 [99281] 2.595222e-01 7.369822e-01 2.387347e-01 4.716005e-01 1.716651e-01
 [99286] 2.619660e-01 9.411251e-01 6.774873e-01 3.588819e-01 6.414284e-01
 [99291] 4.513227e-01 2.857436e-01 3.278633e-01 9.263265e-01 9.343086e-01
 [99296] 8.324881e-01 5.623560e-01 9.636131e-01 5.494659e-02 1.146871e-01
 [99301] 7.138037e-01 4.935981e-01 2.046139e-01 9.221611e-02 7.700307e-01
 [99306] 4.587318e-01 7.053025e-01 7.637372e-01 6.179105e-01 3.594762e-01
 [99311] 8.488865e-01 1.826828e-01 4.963656e-01 5.445582e-01 2.951188e-02
 [99316] 4.742302e-01 2.470316e-01 6.498336e-01 6.552963e-01 2.183931e-01
 [99321] 2.258896e-01 1.069657e-01 6.015506e-01 8.446468e-02 7.284608e-01
 [99326] 6.705074e-01 1.885747e-01 2.762786e-01 2.442581e-01 7.047425e-01
 [99331] 5.298416e-01 7.068755e-01 8.668122e-01 6.395114e-01 8.889827e-01
 [99336] 8.510598e-01 2.801384e-01 7.492288e-02 3.898782e-01 4.319460e-02
 [99341] 9.294628e-01 1.987766e-01 3.777346e-01 9.900497e-01 8.464798e-01
 [99346] 7.507691e-01 7.974649e-01 3.835652e-01 9.809360e-01 3.577730e-01
 [99351] 6.509421e-01 8.943622e-01 5.077128e-01 8.058591e-01 5.589681e-01
 [99356] 1.137339e-02 6.508777e-02 8.536499e-01 9.465454e-01 4.930321e-01
 [99361] 2.728340e-01 2.273478e-01 2.563385e-02 3.388568e-01 5.038571e-01
 [99366] 3.017903e-01 1.611368e-01 1.419319e-01 5.771561e-01 5.885903e-01
 [99371] 5.981065e-01 8.163057e-01 3.095715e-01 9.772324e-01 1.744959e-01
 [99376] 6.828034e-01 6.013054e-01 3.297231e-01 7.107942e-02 8.543167e-02
 [99381] 1.288979e-01 8.771552e-01 8.182602e-01 2.569922e-01 7.465240e-01
 [99386] 6.171662e-01 4.171416e-01 9.920179e-01 1.866138e-01 1.199890e-01
 [99391] 7.823476e-01 4.539551e-01 5.486691e-01 2.930244e-01 2.557948e-01
 [99396] 5.416592e-01 4.008864e-01 2.616864e-01 6.476339e-01 5.609297e-01
 [99401] 9.236495e-01 6.237662e-01 6.435207e-01 5.939669e-01 3.792719e-01
 [99406] 3.862366e-01 5.751587e-01 4.517854e-01 1.829112e-01 7.637878e-01
 [99411] 4.694368e-02 7.874600e-01 4.897272e-01 2.538857e-01 7.543192e-01
 [99416] 7.506837e-01 2.922286e-01 1.843337e-01 8.468324e-01 8.979805e-01
 [99421] 5.043973e-01 8.519088e-01 6.060686e-01 2.424701e-01 1.590230e-01
 [99426] 2.329080e-01 4.231064e-01 8.559262e-01 2.841843e-01 6.577459e-01
 [99431] 7.868074e-01 5.860333e-01 4.344614e-01 7.621567e-01 5.337434e-01
 [99436] 2.970828e-01 1.949293e-01 5.175979e-01 7.828712e-01 1.285262e-01
 [99441] 5.412724e-01 8.975568e-01 2.212210e-04 3.556593e-01 1.575012e-01
 [99446] 1.339902e-01 5.253527e-01 5.839956e-01 7.948478e-01 2.018111e-02
 [99451] 6.784003e-01 9.174467e-01 6.091387e-01 3.277784e-01 7.428055e-01
 [99456] 5.803691e-01 5.131840e-01 6.313943e-01 8.942724e-01 4.146491e-01
 [99461] 2.512843e-01 1.256031e-01 6.097554e-01 3.917750e-01 4.894210e-01
 [99466] 3.500088e-01 1.905665e-01 7.220397e-01 9.287686e-01 9.066481e-01
 [99471] 8.002174e-03 4.280385e-01 9.340108e-01 8.119411e-02 9.689620e-01
 [99476] 9.417647e-01 9.347450e-01 9.821370e-01 9.331526e-01 7.434667e-01
 [99481] 7.418174e-01 8.810583e-01 5.548737e-01 8.726589e-01 8.928498e-01
 [99486] 1.502956e-02 1.656920e-01 3.492796e-01 6.283035e-01 6.115455e-01
 [99491] 5.915773e-01 7.224104e-01 1.262349e-02 8.943627e-01 2.682511e-01
 [99496] 6.249852e-02 4.313254e-01 3.961676e-01 3.263926e-01 1.341905e-02
 [99501] 5.191012e-01 8.784938e-02 8.434725e-01 9.624492e-01 2.956422e-01
 [99506] 1.289759e-01 6.494387e-01 7.655077e-02 7.989393e-01 6.933720e-01
 [99511] 5.089331e-01 5.011447e-01 4.013252e-01 5.601772e-01 5.788595e-01
 [99516] 4.795412e-01 6.766383e-01 7.362323e-01 2.901922e-01 7.330701e-01
 [99521] 9.893565e-01 6.687289e-01 4.112400e-01 7.312285e-01 1.424575e-01
 [99526] 5.413165e-01 3.786954e-01 8.622915e-01 2.160585e-01 7.621498e-01
 [99531] 9.154013e-01 1.667924e-01 6.462683e-01 8.946361e-01 5.778083e-01
 [99536] 8.386038e-01 8.741443e-01 1.226591e-01 8.100116e-01 7.390522e-01
 [99541] 8.929330e-01 7.900133e-01 1.050711e-02 4.656513e-01 7.313922e-01
 [99546] 6.860450e-01 8.897817e-01 2.450219e-02 4.032820e-01 8.332852e-01
 [99551] 8.627064e-01 8.052773e-01 4.050278e-01 6.257262e-01 1.983237e-01
 [99556] 6.611943e-01 8.340591e-01 3.964888e-01 1.050776e-02 5.711070e-01
 [99561] 2.272768e-01 7.296485e-01 2.382635e-01 1.065519e-01 8.617085e-02
 [99566] 1.238379e-01 2.099438e-01 9.805691e-01 2.757159e-01 3.780254e-01
 [99571] 5.847464e-01 1.744348e-01 3.079421e-01 9.447152e-01 8.134603e-01
 [99576] 2.511347e-01 3.961743e-01 4.318111e-01 5.382308e-01 6.731235e-01
 [99581] 5.913531e-01 4.092073e-01 7.540082e-01 1.670842e-01 5.095438e-01
 [99586] 3.523155e-01 5.691083e-01 9.613427e-01 1.702495e-01 4.932639e-01
 [99591] 8.835667e-01 3.893011e-01 1.927801e-01 6.530164e-01 4.079146e-01
 [99596] 6.660089e-01 3.909211e-01 8.696386e-01 7.800094e-01 2.129458e-01
 [99601] 9.607085e-01 5.290376e-01 1.371967e-01 3.055095e-01 5.357281e-01
 [99606] 8.841951e-01 8.352586e-01 4.982253e-03 9.477550e-01 6.253679e-01
 [99611] 9.875074e-01 4.816895e-02 2.127319e-01 4.488383e-01 9.741002e-01
 [99616] 7.940316e-02 3.028974e-02 5.602656e-01 5.885548e-02 4.282818e-01
 [99621] 9.078813e-01 4.959348e-01 1.630318e-01 5.627478e-01 1.255310e-01
 [99626] 4.355585e-01 2.642303e-01 8.500077e-01 2.397102e-03 1.216381e-01
 [99631] 4.399391e-01 9.441629e-01 5.162506e-01 9.129020e-01 2.452339e-01
 [99636] 1.835183e-01 2.521052e-01 2.346105e-01 6.040773e-01 5.762938e-01
 [99641] 3.574096e-01 7.382552e-01 7.408801e-01 3.829099e-01 6.109191e-02
 [99646] 9.099470e-01 2.389093e-01 3.534142e-01 9.045054e-01 9.208186e-01
 [99651] 3.933961e-01 6.676409e-01 8.091359e-01 3.852109e-01 8.688054e-01
 [99656] 4.289803e-01 1.053265e-01 1.008903e-01 2.828672e-01 2.123257e-01
 [99661] 5.446247e-01 8.492457e-01 3.339024e-01 7.931355e-01 6.979892e-01
 [99666] 4.043883e-02 9.546824e-01 3.901084e-01 3.563845e-01 7.258408e-01
 [99671] 5.401296e-01 1.519372e-01 1.184065e-01 1.467290e-02 4.455975e-01
 [99676] 6.868741e-01 1.581384e-01 4.829751e-01 5.010624e-01 8.267825e-01
 [99681] 7.778817e-02 1.904075e-01 2.515969e-01 6.123841e-01 7.014066e-01
 [99686] 7.724151e-01 7.099540e-02 9.152722e-02 7.256062e-01 7.971700e-03
 [99691] 5.328064e-01 7.624705e-02 4.697111e-01 8.074022e-01 4.719749e-01
 [99696] 8.931012e-01 4.133521e-01 8.098896e-01 2.194406e-01 3.257411e-01
 [99701] 7.597412e-01 8.385014e-01 7.400208e-01 7.434421e-01 9.449247e-01
 [99706] 4.621345e-01 4.188763e-01 6.758797e-01 6.176108e-02 1.681424e-01
 [99711] 3.419204e-02 2.887573e-01 8.494447e-01 4.256432e-01 5.811240e-01
 [99716] 1.701838e-01 3.836361e-01 7.737388e-01 1.992390e-02 1.575088e-01
 [99721] 7.655964e-01 7.045167e-01 1.584623e-01 4.657929e-01 8.346060e-01
 [99726] 7.391807e-01 7.959242e-01 4.571615e-01 9.929492e-01 8.199761e-01
 [99731] 8.133513e-01 9.646375e-01 1.573147e-01 6.787403e-02 2.313819e-02
 [99736] 4.857301e-01 4.703386e-01 9.795391e-01 5.812060e-01 6.975535e-01
 [99741] 5.726529e-02 6.881910e-01 1.548505e-01 1.946371e-01 4.981334e-01
 [99746] 8.802852e-02 4.436051e-01 3.732032e-01 2.282245e-01 8.734450e-01
 [99751] 3.831145e-01 4.948779e-01 4.779604e-01 8.713919e-01 4.904311e-01
 [99756] 9.446275e-01 4.677079e-01 7.292871e-01 3.718850e-01 8.387837e-02
 [99761] 2.648577e-01 9.879461e-01 3.106562e-01 4.132452e-01 5.543461e-01
 [99766] 3.181755e-01 7.660183e-01 1.070200e-01 6.318945e-01 4.947065e-02
 [99771] 8.663359e-01 2.513878e-01 1.634564e-01 4.255738e-01 7.467658e-01
 [99776] 9.042457e-02 9.043580e-01 6.404266e-01 1.841383e-01 9.563436e-01
 [99781] 9.371833e-01 5.171383e-01 1.498108e-01 3.252309e-01 5.385668e-01
 [99786] 5.009218e-01 3.550709e-01 3.166443e-01 1.338663e-01 2.441978e-01
 [99791] 1.827833e-01 6.849527e-01 1.491416e-01 2.410975e-01 9.726941e-01
 [99796] 7.729346e-01 5.475446e-01 3.938661e-01 9.512523e-01 8.985100e-01
 [99801] 1.028134e-02 7.817760e-01 8.214368e-01 1.438257e-01 3.726155e-01
 [99806] 4.563252e-01 7.142663e-01 2.338606e-02 5.954955e-01 7.398128e-01
 [99811] 5.582207e-01 5.013697e-01 5.380144e-01 3.963137e-01 1.806299e-01
 [99816] 3.387110e-01 3.596525e-01 1.362815e-01 7.368713e-01 1.626802e-01
 [99821] 4.367414e-01 5.985496e-01 2.562356e-01 9.957572e-01 8.403363e-01
 [99826] 4.071364e-01 1.740763e-01 3.591493e-01 6.110915e-01 5.634517e-01
 [99831] 2.965902e-01 1.789954e-01 3.645994e-01 5.970608e-01 5.312414e-01
 [99836] 6.454954e-01 3.743584e-01 8.685986e-01 7.755190e-01 9.545942e-01
 [99841] 9.370138e-01 9.957507e-01 4.125572e-02 7.173970e-01 4.111065e-01
 [99846] 7.582656e-01 4.747983e-01 5.573304e-01 7.090328e-01 1.421672e-01
 [99851] 7.100143e-01 2.039953e-01 1.597692e-01 3.520179e-01 8.734048e-01
 [99856] 7.311757e-01 1.502690e-01 1.711569e-01 9.582868e-01 1.584115e-01
 [99861] 6.518571e-01 7.538071e-01 5.330022e-01 6.198896e-01 1.250221e-01
 [99866] 6.903402e-01 5.259073e-01 1.899231e-01 5.841094e-01 9.634362e-01
 [99871] 8.532677e-02 7.051980e-02 6.246970e-01 4.356779e-01 5.148132e-01
 [99876] 2.838566e-01 9.444250e-01 5.646183e-01 7.196708e-01 5.833802e-01
 [99881] 9.720747e-01 7.977778e-01 8.087966e-02 3.507967e-01 4.762752e-01
 [99886] 8.370213e-01 6.535777e-01 5.566526e-01 3.790172e-01 9.808698e-01
 [99891] 9.567776e-01 5.505771e-01 3.326672e-01 6.838659e-01 3.860816e-02
 [99896] 6.151171e-02 1.490751e-01 6.307353e-01 7.298225e-01 2.694098e-01
 [99901] 6.831663e-04 4.719489e-01 3.573774e-01 3.673374e-01 8.999181e-01
 [99906] 5.228475e-01 4.117623e-01 8.418121e-01 3.983839e-01 2.516388e-02
 [99911] 8.230437e-01 2.066015e-01 4.099872e-01 4.137283e-01 8.636810e-01
 [99916] 6.163510e-01 9.169332e-01 3.142083e-01 9.368379e-01 1.673456e-01
 [99921] 3.769288e-01 9.539725e-01 3.582555e-01 2.495744e-01 6.149375e-01
 [99926] 6.897745e-01 6.988911e-01 1.641650e-02 3.150154e-01 5.368287e-01
 [99931] 1.788554e-01 8.038153e-01 7.608647e-01 2.944967e-02 4.992055e-01
 [99936] 2.677561e-01 2.667563e-02 6.696327e-01 9.198746e-01 5.948801e-01
 [99941] 5.253155e-01 6.672205e-01 2.747820e-01 2.691938e-01 5.127824e-01
 [99946] 6.226973e-01 1.674386e-01 1.192180e-01 9.574745e-01 6.264019e-01
 [99951] 7.872623e-01 1.971016e-01 9.298604e-01 5.986143e-01 6.140475e-01
 [99956] 6.623156e-01 9.498856e-01 5.591284e-01 5.101771e-01 6.103268e-01
 [99961] 6.292460e-01 8.441323e-01 9.094702e-01 2.554475e-01 4.105479e-01
 [99966] 5.645855e-01 6.107571e-01 5.563649e-01 8.813507e-01 9.306838e-01
 [99971] 6.044927e-01 5.197372e-01 9.664309e-01 8.039748e-01 4.763254e-01
 [99976] 8.903851e-01 4.787825e-01 2.467962e-01 6.692721e-01 2.325740e-01
 [99981] 9.094619e-01 2.354017e-01 5.305647e-01 4.306624e-01 6.754717e-01
 [99986] 1.213156e-01 8.089057e-01 1.903482e-01 6.150215e-03 8.743673e-01
 [99991] 2.756329e-01 8.753914e-01 2.310091e-01 9.468999e-02 5.278836e-01
 [99996] 1.462621e-03 8.788186e-01 3.841478e-01 8.569795e-02 7.626532e-01

The uniform distribution

  • If we make a histogram of the sample, we find

plot of chunk unnamed-chunk-18

  • Again, we see that as we take the number of replicated measurements approaching infinity,

    • the sample-based empirical density gives a better representation of the theoretical density

The uniform distribution

  • Similarly to the earlier plots, we will also demonstrate the cumulative distribution function
par(cex = 2.0, mar = c(5, 4, 4, 2) + 0.3)
f = punif(seq(-1,2,by=0.01), min=0, max=1)
plot(x=seq(-1,2,by=0.01), f, type = "s", main = "Uniform distribution on [0,1]", xlab = "x", ylab = "Cumulative probabilty")

plot of chunk unnamed-chunk-19

The normal distribution

  • In R, we also have a variety of tools for working with the normal distribution:
par(cex = 2.0, mar = c(5, 4, 4, 2) + 0.3)
f = dnorm(x=seq(-5,5,by=0.01), mean=0, sd=1)
plot(x=seq(-5,5,by=0.01), f, type = "s", main = "Standard normal density curve", xlab = "x", ylab = "Prob.")

plot of chunk unnamed-chunk-20

The normal distribution

  • In R, there are similarly standard functions like the binomial and the uniform that are used for the normal distribution:

    • dnorm(x, mean, sd) for the density function;
    • pnorm(q, mean, sd) for the cumulative distribution function;
    • rnorm(n, mean, sd) for generating random normally distributed samples.

  • We will generate a sample from the standard normal and plot this with histogram as follows:

sample_10 = rnorm(10)
par(cex = 2.0, mar = c(5, 4, 4, 2) + 0.3)
hist(sample_10, main = "Standard normal", xlab = "x", probability=TRUE, ylab = "Density")

plot of chunk unnamed-chunk-21

The normal distribution

  • Similarly, if we increase the sample size, we begin to see the classic bell shape
sample_100000 = rnorm(100000)
par(cex = 2.0, mar = c(5, 4, 4, 2) + 0.3)
hist(sample_100000, main = "Standard normal", xlab = "x", probability=TRUE, ylab = "Density")

plot of chunk unnamed-chunk-22

  • These above demonstrations will be used in the practice quiz on Friday to refresh on the concepts and to start preparing for how to work on the final.

  • We will next consider how one uses an RMarkdown file to document an analysis, or in our case to use as a worksheet.

Data analysis reports

  • Data analysts tend to write a lot of reports, describing their analyses and results, for their collaborators or to document their work for future reference.
  • Many new users begin by first writing a single R script containing all of the work.
  • Then simply share the analysis by emailing the script and various graphs as attachments.
  • But this can be cumbersome, requiring a lengthy discussion to explain which attachment was which result.
  • Writing formal reports with Word or LaTeX can simplify this by incorporating both the analysis report and output graphs into a single document.
  • But tweaking formatting to make figures look correct and fix obnoxious page breaks can be tedious and lead to a lengthly “whack a mole” game of fixing new mistakes resulting from a single formatting change.

Reproducible analysis

  • Creating a web page (as an html file) by using R Markdown makes things easier.
  • The report can be one long stream, so tall figures that wouldn't ordinary fit on one page can be kept full size and easier to read, since the reader can simply keep scrolling.
  • Formatting is simple and easy to modify, allowing you to spend more time on your analyses instead of writing reports.
  • Ideally, such analysis reports are reproducible documents:
    • If an error is discovered, or if some additional subjects are added to the data, you can just re-compile the report and get the new or corrected results
  • The key R package is knitr which we have been using in activities to create a mixture of text and chunks of code.
  • When the document is processed by knitr, chunks of code will be executed, and graphs or other results inserted into the final document.
  • knitr allows you to mix basically any sort of text with code from different programming languages, but we recommend that you use R Markdown, which mixes Markdown with R.
  • Markdown is a light-weight mark-up language for creating web pages.

Basic components of R Markdown

  • The initial chunk of text (header) contains instructions for R to specify what kind of document will be created, and the options chosen.
  • You can use the header to give your document a title, author, date, and tell it that you're going to want to produce html output (in other words, a web page).
---
title: "Initial R Markdown document"
author: "Jane Doe"
date: "April 23, 2015"
output: html_document
---
  • You can delete any of those fields if you don't want them included.
  • The double-quotes aren't strictly necessary in this case.
  • They're mostly needed if you want to include a colon in the title.
  • RStudio creates the document with some example text to get you started.

Markdown

  • Markdown is a system for writing web pages by marking up the text much as you would in an email rather than writing html code.
  • The marked-up text gets converted to html, replacing the marks with the proper html code.
  • If you know any HTML already, standard Markdown flavors usually accept HTML commands interspersed with Markdown for more detailed control of the output document.
  • You make things bold using two asterisks, like this: **bold**, and you make things italics by using underscores, like this _italics_.
    • The HTML equivalent wouldd look like <b>bold</b> or <i>italics</i>, where the Markdown equivalent usually simplifies the syntax.

Markdown continued

  • You can make a bulleted list by writing a list with hyphens or asterisks, like this:
* bold with double-asterisks
* italics with underscores
* code-type font with backticks
  • or like this:
- bold with double-asterisks
- italics with underscores
- code-type font with backticks

  • Each will appear as:

    • bold with double-asterisks
    • italics with underscores
    • code-type font with backticks

  • within their respective indentation levels.

Markdown continued

  • You can make a numbered list by just using numbers. You can even use the same number over and over if you want:

    • 1. bold with double-asterisks
1. italics with underscores
1. code-type font with backticks

  • You can make section headers of different sizes by initiating a line with some number of # symbols:

    # Title
## Main section
### Sub-section
#### Sub-sub section

  • You compile the R Markdown document to an html webpage by clicking the “Knit” button in the upper-left.

Markdown continued

  • You can make a hyperlink like this: [text to show](http://the-web-page.com).

  • You can include an image file like this: ![caption](http://url/for/file)

  • If you know how to write equations in LaTeX, you can use $ $ and $$ $$ to insert math equations, inline like $E = mc^2$ and in its own chunk by

$$y = \mu + \sum_{i=1}^p \beta_i x_i + \epsilon$$

  • The above two examples will render in the output document as \( E=mc^2 \) or

    \[ y = \mu + \sum_{i=1}^p \beta_i x_i + \epsilon \]

  • You can review Markdown syntax by navigating to the “Markdown Quick Reference” under the “Help” field in the toolbar at the top of RStudio.

R code chunks

  • The real power of Markdown comes from mixing markdown with chunks of code, and a special flavor of Markdown is designed for working well with R, R Markdown.

  • When processed, the R code will be executed; if they produce figures, the figures will be inserted in the final document.

  • The main code chunks look like this:

```{r load_data}
gapminder <- read.csv("gapminder.csv")
```
  • That is, you place a chunk of R code between ```{r chunk_name} and ```.
  • In a complex report, one should give each chunk a unique name, as they will help you to fix errors and, if any graphs are produced, the file names are based on the name of the code chunk that produced them.

How things get compiled

  • When you press the “Knit” button, the R Markdown document is processed by knitr and a plain Markdown document is produced (as well as, potentially, a set of figure files): the R code is executed and replaced by both the input and the output;

    • if figures are produced, links to those figures are included.

  • The Markdown and figure documents are then processed by the tool pandoc, which converts the Markdown file into an html file, with the figures embedded.

plot of chunk rmd_to_html_fig

Chunk options

  • There are a variety of options to affect how the code chunks are treated. Here are some examples:

    • Use echo=FALSE to avoid having the code itself shown.
    • Use results="hide" to avoid having any results printed.
    • Use eval=FALSE to have the code shown but not evaluated.
    • Use warning=FALSE and message=FALSE to hide any warnings or messages produced.
    • Use fig.height and fig.width to control the size of the figures produced (in inches).

  • So you might write:

```{r load_libraries, echo=FALSE, message=FALSE}
library("dplyr")
library("ggplot2")
```
  • Often there will be particular options that you'll want to use repeatedly; for this, you can set global chunk options, like so:
```{r global_options, echo=FALSE}
knitr::opts_chunk$set(fig.path="Figs/", message=FALSE, warning=FALSE,
                      echo=FALSE, results="hide", fig.width=11)
```
  • The fig.path option defines where the figures will be saved.
  • The / here is really important; without it, the figures would be saved in the standard place but just with names that begin with Figs.
  • If you have multiple R Markdown files in a common directory, you might want to use fig.path to define separate prefixes for the figure file names, like fig.path="Figs/cleaning-" and fig.path="Figs/analysis-".

Inline R code

  • You can make every number in your report reproducible. Use `r and ` for an in-line code chunk, like so:
    • `r round(some_value, 2)`.
  • The code will be executed and replaced with the value of the result.
  • However, don't let these in-line chunks get split across lines.

Other output options

  • You can also convert R Markdown to a PDF or a Word document.
  • Click the little triangle next to the “Knit” button to get a drop-down menu.
  • Or you could put pdf_document or word_document in the initial header of the file.
  • Creating .pdf documents may require installation of some extra software.

  • If required, this is detailed in an error message.

  • TeX installers for Windows.

  • TeX installers for macOS.

Resources