from fractions import *
import math
import turtle

def f(n):
    m = 0
    for i in range(1,n+1):
        for j in range(1,n+1):
            if gcd(i,j)==1:
                m = m + 1
    return(m)

#--------------------
x = f(1000)/(1000*1000)
pi = math.sqrt(6/x)
print(pi)
#--------------------
t = turtle.Turtle()
t.up()
t.goto(-200,-100)
t.down
t.speed(0)

for i in range(1,51):
    for j in range(1,51):
        if gcd(i,j)==1:
            t.dot("blue")
        else:
                  t.dot("red")
        t.forward(5)
    t.backward(250)
    t.left(90)
    t.forward(5)
    t.right(90)
#--------------------