Binomial Showdown

Time Limit: 1000MS

Memory Limit: 65536K

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.

Input

The input 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

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

Hint

Source

Ulm Local 1997

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