Little Elephant and Magic

The Little Elephant from the Zoo of Lviv believes in magic. He has a magic board A that consists of N rows and M columns. Each cell of the board contains an integer from 0 to 9 inclusive. The cell at the intersection of the i-th row and the j-th column is denoted as (i; j), where 1 ≤ i ≤ N and 1 ≤ j ≤ M. The number in the cell (i; j) is denoted as A[i][j]. The Little Elephant owns the only magic