# Use a montecarlo method to compute pi and then generate a PNG image with the result of the simulation 
# Coded by WarGame - http://vx.netlux.org/wargamevx

import random
import Image,ImageDraw
import math

im = Image.new("RGB", (100,110), "#FFFFFF")
draw = ImageDraw.Draw(im)
successi = 0
num = input("How many points?")

for prove in range(0,num):
	x = random.uniform(0,100)
	y = random.uniform(0,100)

	if (((x-50)*(x-50))+((y-50)*(y-50))) <= 50*50:
		successi = successi + 1
		draw.point([x,y],fill="red") # points in the circle
	else:
		draw.point([x,y],fill="blue") # outside the circle

pi = (float(successi)/float(prove))*float(4)
draw.text([50,100],str(pi),fill="green")
str_file = "pi"+str(num)+".png"
print 'image saved in %s' % str_file
del draw 
im.save(str_file, "PNG")