Problem: On the way to school, Karen became fixated on the puzzle game on her phone!

<image>

The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.

One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.

To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.

Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!

Input

The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.

The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).

Output

If there is an error and it is actually not possible to beat the level, output a single integer -1.

Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.

The next k lines should each contain one of the following, describing the moves in the order they must be done:

  * row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row". 
  * col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column". 



If there are multiple optimal solutions, output any one of them.

Examples

Input

3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1


Output

4
row 1
row 1
col 4
row 3


Input

3 3
0 0 0
0 1 0
0 0 0


Output

-1


Input

3 3
1 1 1
1 1 1
1 1 1


Output

3
row 1
row 2
row 3

Note

In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:

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In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.

In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:

<image>

Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int matrix[200][200];
int row[200], col[200];
int step;
int ans_step = INT_MAX, ans_row[200], ans_col[200];
int n, m;
bool check(int first_row) {
  step = first_row;
  memset(row, 0, sizeof(row));
  memset(col, 0, sizeof(col));
  row[1] = first_row;
  for (int i = 1; i <= m; ++i) {
    if (matrix[1][i] > first_row) {
      col[i] += matrix[1][i] - first_row;
      step += col[i];
    } else if (matrix[1][i] < first_row) {
      return false;
    }
  }
  for (int i = 2; i <= n; ++i) {
    row[i] = matrix[i][1] - col[1];
    if (row[i] < 0) {
      return false;
    }
    step += row[i];
    for (int j = 2; j <= m; ++j) {
      if (matrix[i][j] != row[i] + col[j]) {
        return false;
      }
    }
  }
  return true;
}
int main() {
  cin >> n >> m;
  for (int i = 1; i <= n; ++i) {
    for (int j = 1; j <= m; ++j) {
      cin >> matrix[i][j];
    }
  }
  for (int i = 0; i <= 500; ++i) {
    row[1] = i;
    if (check(i)) {
      if (step < ans_step) {
        ans_step = step;
        for (int j = 1; j <= n; ++j) {
          ans_row[j] = row[j];
        }
        for (int j = 1; j <= m; ++j) {
          ans_col[j] = col[j];
        }
      }
    }
  }
  if (ans_step == INT_MAX) {
    printf("-1\n");
    return 0;
  }
  printf("%d\n", ans_step);
  for (int i = 1; i <= n; ++i) {
    while (ans_row[i]) {
      cout << "row " << i << endl;
      --ans_row[i];
    }
  }
  for (int i = 1; i <= m; ++i) {
    while (ans_col[i]) {
      cout << "col " << i << endl;
      --ans_col[i];
    }
  }
  return 0;
}