#!/usr/bin/env python

from __future__ import division
from math import sqrt

RADIUS = 1000

def quarter_circle_method():
    dots = 0
    for x in xrange(RADIUS):
        for y in xrange(RADIUS):
            if sqrt( x**2 + y**2 ) <= RADIUS:
                dots += 1

    Pi = (4*dots) / (RADIUS**2)
    return Pi

if __name__ == "__main__":
    print quarter_circle_method()