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.*;

class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int H,W;
    H = sc.nextInt();
    W = sc.nextInt();
    int a[][] = new int[H][W];
    for(int i=0; i<H; i++){
      for(int j=0; j<W; j++){
        a[i][j] = sc.nextInt();
      }
    }
    
    int count = 0;
    int s1,s2,s3,s4;
    List<String> list = new ArrayList<String>();
    for(int i=0; i<H; i++){
      for(int j=0; j<W; j++){
        if(i == H-1 && j == W-1) break;
        if(a[i][j] % 2 == 1){
          count++;
          if(j <= W-2){
            a[i][j]--;
            a[i][j+1]++;
            s1 = i+1;
            s2 = j+1;
            s3 = i+1;
            s4 = j+2;
            list.add(s1 + " " + s2 + " " + s3 + " " + s4);
          }else{
            a[i][j]--;
            a[i+1][j]++;
            s1 = i+1;
            s2 = j+1;
            s3 = i+2;
            s4 = j+1;
            list.add(s1 + " " + s2 + " " + s3 + " " + s4);
          }
        }
      }
    }
    System.out.println(count);
    list.forEach(System.out::println);
  }
}