2772: Matrix Power Series

Memory Limit：128 MB Time Limit：3.000 S
Judge Style：Text Compare Creator：
Submit：0 Solved：0

Description

Given a n × n matrix A and a positive integer k, find the sum S = A + A2 + A3 + … + Ak.

Input

The input contains exactly one test case. The first line of input contains three positive integers n (n ≤ 30), k (k ≤ 109) and m (m < 104). Then follow n lines each containing n nonnegative integers below 32,768, giving A’s elements in row-major order.

Output

Output

Output the elements of S modulo m in the same way as A is given.

Sample Input Copy 

2 2 4
0 1
1 1

Sample Output Copy 

1 2
2 3