|Codeforces Round #287 (Div. 2)|
Amr doesn't like Maths as he finds it really boring, so he usually sleeps in Maths lectures. But one day the teacher suspected that Amr is sleeping and asked him a question to make sure he wasn't.
First he gave Amr two positive integers n and k. Then he asked Amr, how many integer numbers x > 0 exist such that:
As the answer to this question may be pretty huge the teacher asked Amr to output only its remainder modulo a number m.
Can you help Amr escape this embarrassing situation?
Input consists of three integers n, k, m (1 ≤ n ≤ 1000, 1 ≤ k ≤ 100, 1 ≤ m ≤ 109).
Print the required number modulo m.
1 2 1000
2 2 1000
5 3 1103
A suffix of a string S is a non-empty string that can be obtained by removing some number (possibly, zero) of first characters from S.