Find the value of the sum (1^n + 2^n + 2 \cdot 3^n + 3 \cdot 4^n + 4 \cdot 5^n + \ldots + 99 \cdot 100^n) \mod m.
Two positive integers n and m~(n, m \le 10^8).
Print the value of the sum modulo m.
Example 1
