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 <iostream>
#include <vector>

using namespace std;

#define rep(i, N) for (int i = 0; i < N; i++)
#define rep1(i, N) for (int i = 1; i <= N; i++)

int main() {
    int H, W; cin >> H >> W;
    int a[H + 1][W + 1]; rep1(i, H) {rep1(j, W) cin >> a[i][j];}

    vector<vector<int>> op(0, vector<int>(4));

    rep1(i, H) {
        rep1(j, W - 1) {
            if (a[i][j]%2) {
                op.push_back({i, j, i, j + 1});
                a[i][j + 1]++;
            }
        }
    }

    rep1(i, H - 1) {
        if (a[i][W]%2) {
            op.push_back({i, W, i + 1, W});
            a[i + 1][W]++;
        }
    }

    cout << op.size() << endl;
    rep(i, op.size()) {
        rep(j, 3) cout << op[i][j] << " ";
        cout << op[i][3] << endl;
    }
    return 0;
}