Binomial Showdown

Time Limit: 1000 ms Memory Limit: 65536 KiB

Problem Description

In how many ways can you choose k elements out of n elements, not taking order into account?
Write a program to compute this number.


The input file will contain one or more test cases.
Each test case consists of one line containing two integers n (n>=1) and k (0<=k<=n).
Input is terminated by two zeroes for n and k.


For each test case, print one line containing the required number. This number will always fit into an integer, i.e. it will be less than 231.

Warning: Don't underestimate the problem. The result will fit into an integer - but if all intermediate results arising during the computation will also fit into an integer depends on your algorithm. The test cases will go to the limit.   

Sample Input

4 2
10 5
49 6
0 0

Sample Output