#!/usr/bin/env python3
########################################################################
# Solves problem 53 from projectEuler.net.
# Determines the amount of, not necessarily distinct, values of,
# combinations of n taken by r for 1 n 100, are greater than one-million?
# Copyright (C) 2010 Santiago Alessandri
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see .
#
# You can contact me at san.lt.ss@gmail.com or salessandri@nasel.com
# Visit my wiki at http://san-ss.wikidot.com
########################################################################
from CommonFunctions import factorial
if __name__ == '__main__':
result = sum(1 for n in range(1, 101) for r in range(1, n+1) if
factorial(n) // factorial(r) // factorial(n-r) > 1000000)
print("The result is:", result)