1997/98 ACM International Collegiate Programming Contest
University of Ulm Local Contest

# Problem B

# Binomial Showdown

Source file: binomial.(c|C|pas)
Input file: binomial.in

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.

### Input Specification

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.

### Output Specification

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

    6
    252
    13983816