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;
void RI() {}
template <typename... T>
void RI(int& head, T&... tail) {
  scanf("%d", &head);
  RI(tail...);
}
void PI() { putchar('\n'); }
template <typename... T>
void PI(const int head, T... tail) {
  printf("%d ", head);
  PI(tail...);
}
const int MOD = 1000000007;
int grid[105][105];
vector<pair<int, int> > ansr, ansc;
char ss[2][5] = {"row", "col"};
int cnt = 0;
int n, m;
void subr() {
  for (int i = 0; i < (int)(n); i++) {
    int c = INT_MAX;
    for (int j = 0; j < (int)(m); j++) {
      c = min(c, grid[i][j]);
    }
    for (int j = 0; j < (int)(m); j++) {
      grid[i][j] -= c;
    }
    ansr.emplace_back(i, c);
    cnt += c;
  }
}
void subc() {
  for (int j = 0; j < (int)(m); j++) {
    int c = INT_MAX;
    for (int i = 0; i < (int)(n); i++) {
      c = min(c, grid[i][j]);
    }
    for (int i = 0; i < (int)(n); i++) {
      grid[i][j] -= c;
    }
    ansc.emplace_back(j, c);
    cnt += c;
  }
}
int main() {
  RI(n, m);
  for (int i = 0; i < (int)(n); i++) {
    for (int j = 0; j < (int)(m); j++) {
      RI(grid[i][j]);
    }
  }
  if (n < m) {
    subr();
    subc();
  } else {
    subc();
    subr();
  }
  for (int i = 0; i < (int)(n); i++) {
    for (int j = 0; j < (int)(m); j++) {
      if (grid[i][j] != 0) {
        printf("-1\n");
        return 0;
      }
    }
  }
  printf("%d\n", cnt);
  for (int i = 0; i < (int)(ansr.size()); i++) {
    for (int k = 0; k < (int)(ansr[i].second); k++) {
      printf("row %d\n", ansr[i].first + 1);
    }
  }
  for (int i = 0; i < (int)(ansc.size()); i++) {
    for (int k = 0; k < (int)(ansc[i].second); k++) {
      printf("col %d\n", ansc[i].first + 1);
    }
  }
  return 0;
}