Problems
Nicholas Problem
Nicholas Problem
Nicholas must deliver gifts to n (n ≤ 10^18
) children. He wonders in how many ways he can do it. You need to answer this simple question. Since this number may be very large, print the result modulo m (m ≤ 2009).
Input data
Two positive integers n and m.
Output data
Print the number of possible ways deliver presents.
Examples
Input example #1
1 100
Output example #1
1
Input example #2
5 1000
Output example #2
120