Problem: There is a grid of square cells with H horizontal rows and W vertical columns. The cell at the i-th row and the j-th column will be denoted as Cell (i, j).

In Cell (i, j), a_{ij} coins are placed.

You can perform the following operation any number of times:

Operation: Choose a cell that was not chosen before and contains one or more coins, then move one of those coins to a vertically or horizontally adjacent cell.

Maximize the number of cells containing an even number of coins.

Constraints

* All values in input are integers.
* 1 \leq H, W \leq 500
* 0 \leq a_{ij} \leq 9

Input

Input is given from Standard Input in the following format:


H W
a_{11} a_{12} ... a_{1W}
a_{21} a_{22} ... a_{2W}
:
a_{H1} a_{H2} ... a_{HW}


Output

Print a sequence of operations that maximizes the number of cells containing an even number of coins, in the following format:


N
y_1 x_1 y_1' x_1'
y_2 x_2 y_2' x_2'
:
y_N x_N y_N' x_N'


That is, in the first line, print an integer N between 0 and H \times W (inclusive), representing the number of operations.

In the (i+1)-th line (1 \leq i \leq N), print four integers y_i, x_i, y_i' and x_i' (1 \leq y_i, y_i' \leq H and 1 \leq x_i, x_i' \leq W), representing the i-th operation. These four integers represents the operation of moving one of the coins placed in Cell (y_i, x_i) to a vertically or horizontally adjacent cell, (y_i', x_i').

Note that if the specified operation violates the specification in the problem statement or the output format is invalid, it will result in Wrong Answer.

Examples

Input

2 3
1 2 3
0 1 1


Output

3
2 2 2 3
1 1 1 2
1 3 1 2


Input

3 2
1 0
2 1
1 0


Output

3
1 1 1 2
1 2 2 2
3 1 3 2


Input

1 5
9 9 9 9 9


Output

2
1 1 1 2
1 3 1 4

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;

int main() {
  int H, W; cin >> H >> W;
  vector<vector<int>> a(H, vector<int>(W));
  for (int i = 0; i < H; ++i) {
    for (int j = 0; j < W; ++j) cin >> a[i][j];
  }
  auto fi = [&](int x) { return x / W; };
  auto fj = [&](int x) { return (x / W % 2) ? W - 1 - x % W : x % W; };
  vector<vector<int>> x;
  for (int k = 0; k < H * W - 1; ++k) {
    if (a[fi(k)][fj(k)] % 2) {
      x.push_back({fi(k) + 1, fj(k) + 1, fi(k + 1) + 1, fj(k + 1) + 1});
      --a[fi(k)][fj(k)];
      ++a[fi(k + 1)][fj(k + 1)];
    }
  }
  cout << x.size() << endl;
  for (int i = 0; i < (int)x.size(); ++i) {
    for (int j = 0; j < 4; ++j) {
      cout << x[i][j] << ( (j == 3) ? '\n' : ' ' );
    }
  }
  return 0;
}