MARBLES  Marbles
Hänschen dreams he is in a shop with an infinite amount of marbles. He is allowed to select n marbles. There are marbles of k different colors. From each color there are also infinitely many marbles. Hänschen wants to have at least one marble of each color, but still there are a lot of possibilities for his selection. In his effort to make a decision he wakes up. Now he asks you how many possibilites for his selection he would have had. Assume that marbles of equal color can't be distinguished, and the order of the marbles is irrelevant.
Input
The first line of input contains a number T <= 100 that indicates the number of test cases to follow. Each test case consists of one line containing n and k, where n is the number of marbles Hänschen selects and k is the number of different colors of the marbles. You can assume that 1<=k<=n<=1000000.
Output
For each test case print the number of possibilities that Hänschen would have had. You can assume that this number fits into a signed 64 bit integer.
Example
Input: 2 10 10 30 7 Output: 1 475020
hide comments
farmers_rice:
20151009 02:34:44
keep getting NZEC error even though the only exceptions thrown are in input/output 

Sarthak Munshi:
20151006 17:54:01
STARS AND BARS ! 

xproxmess:
20150927 19:57:49
This is my code  http://ideone.com/UfKbDT


Yuvak Patel:
20150728 16:38:07
GOT AC in 1 go, my 25th... 

Akshay Aradhya:
20150718 23:22:04
@dheeraj You logic is not correct.If long long int works then unsigned long long will definitely work. You must have used the wrong format specifier. 

DHEERAJ KUMAR:
20150609 23:55:53
using unsigned long long int costed me 2 WA's. instead use long long int to get AC :)


Usama:
20150525 10:49:27
use unsigned long long give me many WAs 

scyth3r:
20150509 22:37:40
piece of cake....:D 

Arjun Verma:
20150323 19:10:28
many WA , since was using (long double ) instead use long long int


Walid Amin:
20150205 20:50:24
i suggest to add this case

Added by:  Adrian Kuegel 
Date:  20040619 
Time limit:  1s 
Source limit:  10000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS PERL6 VB.NET 
Resource:  own problem 