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BINOMIAL - Binomial coefficient

For integers n and k (0<=k<=n<1001) determine (binomial coefficient).

Input

The first line of the standard input contains one integer t (t<1001) which is the number of test cases.

In each of the next t lines there are numbers n and k.

Output

For each test print .

Example

Input
3
0 0
7 3
1000 2
Output: 1
35
499500


Added by:Piotr Ką…kol
Date:2010-05-06
Time limit:10s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: SCM qobi
Resource:Binomial coefficient

hide comments
2013-08-28 17:30:01 Mitch Schwartz
Input does not contain (n,k) such that C(n,k) is greater than 8*10^8.
2010-09-03 13:39:57 Piotr Fusik
http://rt.perl.org/rt3/Public/Bug/Display.html?id=77640
2010-08-15 15:43:26 Remo Gisi
Zoltan: One day, someone should fix Math::BigInts "bnok()"-function...
2010-05-06 21:59:22 Zoltán Zámbori
Thank You! I print from "7 0" to "7 7", result: 8 7 21 35 35 21 1 1

I'm always in troubles if i must use big numbers in Perl ...

Last edit: 2010-05-06 22:26:07
2010-05-06 21:49:32 Piotr KÄ…kol
For k=0 You should print 1 and for "7 6" - 7 (that was just an example). ;-)

Last edit: 2010-05-06 21:50:37
2010-05-06 21:39:05 Zoltán Zámbori
I get a WA, but i think my code (3600663) is correct. Piotr, can You check it?
2010-05-06 19:50:13 Piotr KÄ…kol
Thank You for Your remark. :-)
I deleted all tests where nAgain sorry for impediments.
2010-05-06 19:34:32 numerix
I don't understand my WA. For n>=k it is clear, for n<k it should be 0 or maybe 1 - I tried both cases. Large numbers cannot be a problem with Python either.

Last edit: 2010-05-06 19:35:12
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