HDU4237:The Rascal Triangle

The Rascal Triangle definition is similar to that of the Pascal Triangle. The rows are numbered from the top starting with 0. Each row n contains n+1 numbers indexed from 0 to n. Using R(n,m) to indicte the index m item in the index n row:
   R(n,m) = 0 for n < 0 OR m < 0 OR m > n
The first and last numbers in each row(which are the same in the top row) are 1:
   R(n,0) = R(n,n) = 1
The interior values are determined by (UpLeftEntry*UpRightEntry+1)/UpEntry(see the parallelogram in the array below):
   R(n+1, m+1) = (R(n,m) * R(n,m+1) + 1)/R(n-1,m)

Write a program which computes R(n,m) theelement of therow of the Rascal Triangle.

The first line of input contains a single integer P, (1 <= P <= 1000), which is the number of data sets that follow. Each data set is a single line of input consisting of 3 space separated decimal integers. The first integer is data set number, N. The second integer is row number n, and the third integer is the index m within the row of the entry for which you are to find R(n,m) the Rascal Triangle entry (0 <= m <= n <= 50,000).

For each data set there is onr line of output. It contains the data set number, N, followed by a single space which is then followed by thr Rascal Triangle entry R(n,m) accurate to the integer value.

5
1 4 0
2 4 2
3 45678 12345
4 12345 9876
5 34567 11398

1 1
2 5
3 411495886
4 24383845
5 264080263

/*
一道规律题，通过找规律不难发现要求的数便是
(x-y)*y+1
我就不多说了,规律推出来就相当简单了
*/


#include <stdio.h>

int main()
{
    int t,n;
    __int64 x,y;
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d%I64d%I64d",&n,&x,&y);
        if(x == 0 || x == y || y == 0)
        {
            printf("%d 1\n",n);
            continue;
        }
        printf("%d %I64d\n",n,(x-y)*y+1);
    }

    return 0;
}