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 JAVA):

Solution:
import java.util.*;
import java.io.*;
public class Main{
        public static void main(String[] args){
                Scanner sc = new Scanner(System.in);
                PrintWriter ou = new PrintWriter(System.out);
                int h = Integer.parseInt(sc.next());
                int w = Integer.parseInt(sc.next());
                int[][] a = new int[h][w];
                for(int i = 0 ; i < h ; i++){
                        for(int j = 0 ; j < w ; j++){
                                a[i][j] = Integer.parseInt(sc.next());
                        }
                }
                sc.close();
                int[][] q = new int[4][w * h];
                int yono = 0;
                for(int i = 0 ; i < w ; i++){
                        for(int j = 0 ; j < h - 1 ; j++){
                                if(a[j][i] % 2 != 0){
                                        q[0][yono] = j + 1;
                                        q[1][yono] = i + 1;
                                        q[2][yono] = j + 2;
                                        q[3][yono] = i + 1;
                                        yono++;
                                        a[j + 1][i]++;
                                }
                        }
                }
                for(int i = 0 ; i < w - 1 ; i++){
                        if(a[h - 1][i] % 2 != 0){
                                q[0][yono] = h;
                                q[1][yono] = i + 1;
                                q[2][yono] = h;
                                q[3][yono] = i + 2;
                                yono++;
                                a[h - 1][i + 1]++;
                        }
                }
                System.out.println(yono);
                for(int i = 0 ; i < yono ; i++){
                        ou.println(q[0][i] + " " + q[1][i] + " " + q[2][i] + " " + q[3][i]);
                }
                ou.flush();
        }
}