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Problems > Matrix Rank mod p

Matrix Rank mod p

Difficulty: 2100 6000 ms 128 MB

linear-algebra

Compute the rank of an N×M matrix over the field of integers modulo 109+7.

Input: the first line has N and M; the next N lines give the matrix.

Output: the rank.

Constraints:

  • 1 ≤ N, M ≤ 300
  • 0 ≤ entries < 109+7

Sample Tests

Input 1
2 2
1 2
2 4
Output 1
1
Input 2
2 2
1 0
0 1
Output 2
2
Input 3
1 3
0 0 0
Output 3
0

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