###########################
# Problem: Pi Again       #
# by Ching-Shoei Chiang   #
#      2013/10/07         #
###########################

import math
import random

def MonteCarlo(n):
	inp = 0
	for i in range(n):
		x=random.uniform(0,1)
		y=random.uniform(0,1)
#   the same as if math.sqrt(x*x+y*y<1):
		if x*x+y*y<1:
			inp = inp + 1
	return 4*inp/n

for i in [100, 1000, 10000, 100000, 1000000]:
        print("Pi simulates by Monte Carlo method ", i, "times is equal to ", MonteCarlo(i))