Saving Beans

TimeLimit:3000MS  MemoryLimit:32768KB
64-bit integer IO format:%I64d
未提交 | 登录后收藏
Problem Description

Although winter is far away, squirrels have to work day and night to save beans. They need plenty of food to get through those long cold days. After some time the squirrel family thinks that they have to solve a problem. They suppose that they will save beans in n different trees. However, since the food is not sufficient nowadays, they will get no more than m beans. They want to know that how many ways there are to save no more than m beans (they are the same) in n trees.

Now they turn to you for help, you should give them the answer. The result may be extremely huge; you should output the result modulo p, because squirrels can’t recognize large numbers.

题意求:C(n+m,m)%p

Input
The first line contains one integer T, means the number of cases.

Then followed T lines, each line contains three integers n, m, p, means that squirrels will save no more than m same beans in n different trees, 1 <= n, m <= 1000000000, 1 < p < 100000 and p is guaranteed to be a prime.
Output
You should output the answer modulo p.
SampleInput
2
1 2 5
2 1 5
SampleOutput
3
3
 Hint Hint For sample 1, squirrels will put no more than 2 beans in one tree. Since trees are different, we can label them as 1, 2 … and so on. The 3 ways are: put no beans, put 1 bean in tree 1 and put 2 beans in tree 1. For sample 2, the 3 ways are: put no beans, put 1 bean in tree 1 and put 1 bean in tree 2.
Submit
题目统计信息详细
总AC数68
通过人数44
尝试人数44
总提交量90
AC率48.89%
AC该题后可以添加标签
贴完标签可以获得20ACB。
并且可以获得本题所有提交代码查看权限。
点击标题可以显示标签。
如果你还没认真思考过这题,请不要查看标签
如果您已经通过了该题,请务为该题贴上标签

T^T Online Judge

[BUG反馈] [FAQ] [闽ICP备17026590号-1]
当前版本:3.24 系统时间: