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Matrix Power Series

Time Limit
3s
Memory Limit
131072KB
Judge Program
Standard
Ratio(Solve/Submit)
33.33%(1/3)
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 the elements of S modulo m in the same way as A is given.

Sample Input:
2 2 4
0 1
1 1
Sample Output:
1 2
2 3

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