#!/usr/bin/env python

import math

def findOver100p1():
	t = 0
	for i in range(0,101):
		t=t+(1 / ((math.pow(1+(i*.03),2) + 1 )))
	return t * .03

def findUnder100p1():
	t = 0
	for i in range(1,101):
		t=t+(1 / ((math.pow(1+(i*.03),2) + 1 )))
	return t * .03
		
def findOver1000p1():
	t = 0
	for i in range(0,1001):
		t=t+(1 / ((math.pow(1+(i*.003),2) + 1 )))
	return t * .003
		
def findUnder1000p1():
	t = 0
	for i in range(1,1001):
		t=t+(1 / ((math.pow(1+(i*.003),2) + 1 )))
	return t * .003
	
def computeAverage100p1():
	t, avg = 0, 0
	t = findOver100p1() + findUnder100p1()
	avg = t / 2.00
	return avg

def computeAverage1000p1():
	t, avg = 0, 0
	t = findOver1000p1() + findUnder1000p1()
	avg = t / 2.00
	return avg

def main():
	print "At 100 iteration,  we have the following: "
	print computeAverage100p1()
	print "At 1000 iteration, we have the following: "
	print computeAverage1000p1()

# added proper main function
if __name__ == "__main__":
    main()