Problem p03263 - Generation 2

Orig Description

Score : 400 points
Problem StatementThere 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
InputInput 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}
OutputPrint 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.
Sample Input 12 3
1 2 3
0 1 1
Sample Output 13
2 2 2 3
1 1 1 2
1 3 1 2
Every cell contains an even number of coins after the following sequence of operations:
Move the coin in Cell (2, 2) to Cell (2, 3).
Move the coin in Cell (1, 1) to Cell (1, 2).
Move one of the coins in Cell (1, 3) to Cell (1, 2).
Sample Input 23 2
1 0
2 1
1 0
Sample Output 23
1 1 1 2
1 2 2 2
3 1 3 2
Sample Input 31 5
9 9 9 9 9
Sample Output 32
1 1 1 2
1 3 1 4

Extracted Specification

An integer H (1 ≤ H ≤ 500), representing some quantity or size.
An integer W (1 ≤ W ≤ 500), representing some quantity or size.
A grid of integers of size HxW, where each integer is between 0 and 9.

### Example Input:

```
2
3
1 2 3
0 1 1
```

### Function Signature:
Write a function f(H, W, grid) that takes in the input. 
```python
def f(H: int, W: int, grid: List[List[int]]):
    ''' 
    H: an integer 
    W: an integer
    grid: a list of lists of integers
    '''
```

Test Case Generator

Sure! Here is a test case generator for the given problem statement:

```python
import random

def generate_test_case():
    # Generate random values for H and W within the constraints
    H = random.randint(1, 500)
    W = random.randint(1, 500)
    
    # Generate random values for the grid a_ij within the constraints
    grid = [[random.randint(0, 9) for _ in range(W)] for _ in range(H)]
    
    # Convert the grid to a string format for easy display
    grid_str = "\n".join(" ".join(map(str, row)) for row in grid)
    
    return H, W, grid_str

# Example usage
if __name__ == "__main__":
    H, W, grid_str = generate_test_case()
    print(f"{H} {W}")
    print(grid_str)
```

This function generates random test cases for the grid problem by:
1. Randomly selecting the dimensions of the grid `H` and `W` within the given constraints.
2. Filling the grid with random values between 0 and 9 inclusive.
3. Converting the grid to a string format to be printed in the required format.

You can call `generate_test_case` to get a new test case each time. Here is an example of how the output might look:

```
3 4
4 0 7 3
9 6 2 8
1 0 0 5
```

This is a randomly generated test case with a 3x4 grid. Each call to `generate_test_case` will yield different values for the grid.

Extract Arguments

def extract_arguments(fh):
    H, W = map(int, fh.readline().strip().split())
    a = []
    for _ in range(H):
        row = list(map(int, fh.readline().strip().split()))
        a.append(row)
    return H, W, a

# if __name__ == "__main__":
#     input_path = sys.argv[1]
#     with open(input_path, 'r') as fh: 
#     H, W, a = extract_arguments(fh)
#     f(H, W, a)