#!/usr/bin/python

import cgi, json
import scipy.stats

form = cgi.FieldStorage()
percentages = [float(x) for x in form.getlist('percentages')]
nums = [float(x) for x in form.getlist('nums')]

variance = 0.0
# Assumes the percentages sum to 100
degreesOfFreedom = len(nums) - 1
total = 0
for num in nums:
    total += num
for (percentage, num) in zip(percentages, nums):
    expected = (percentage / 100.0) * total
    if expected > 0:
        variance += pow(num - expected, 2)/expected
    else:
        degreesOfFreedom -= 1

print "Content-type: application/json\n\n"
print json.write({'prob': float(scipy.stats.chisqprob(variance, degreesOfFreedom)), 'variance': variance, 'degreesOfFreedom': degreesOfFreedom})