Problem p00626 - Generation 1

Orig Description

Problem F: Chocolate with Heart Marks
Taro loves chocolate, and after returning from school, he eats his favorite chocolate bar with heart marks. His recent enjoyment is to eat all the blocks without heart marks while leaving all the heart-shaped blocks until the end. Taro tries to eat as many blocks without heart marks as possible while keeping all the blocks with heart marks connected.
However, Taro is still young, and even if he tries to eat as described above, some blocks will be left uneaten. Therefore, Taro has asked you to create a program that finds the maximum number of blocks that can be eaten when all the blocks with heart marks remain connected.
Taro can eat the chocolate bar in any way as long as all blocks with heart marks are connected. If any side of a block is not touching another block, it is considered separated.
Input
The input consists of multiple datasets. Each dataset is given in the following format:
H W
H × W integers
H and W are integers that indicate the vertical and horizontal sizes of the chocolate bar, respectively. The H × W integers represent the block information, consisting of '0's that represent blocks without heart marks and '1's that represent blocks with heart marks.
The end of the input is indicated by a dataset where H = W = 0. Do not output anything for this case.
1 ≤ H, W ≤ 12, and it is assumed that the number of blocks with heart marks is six or less.
Output
For each dataset, output the maximum number of blocks that Taro can eat.
Sample Input
4 4
1 0 0 0
0 0 1 0
0 1 0 0
1 0 0 1
1 1
1
2 3
1 0 0
0 0 1
0 0	 
Output for the Sample Input
7
0
2

Extracted Specification

An integer H (1 ≤ H ≤ 12) and an integer W (1 ≤ W ≤ 12), representing some dimensions.
A list of H lists, each containing W integers, where each integer is either 0 or 1.
The end of the input is indicated by a dataset where H = W = 0.

### Example Input:

```
4 4
1 0 0 0
0 0 1 0
0 1 0 0
1 0 0 1
1 1
1
2 3
1 0 0
0 0 1
0 0
0 0
```

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

Test Case Generator

Here is a test case generator for the problem "Chocolate with Heart Marks":

```python
import random

def generate_chocolate_bar(H, W):
    """
    Generates a random H x W chocolate bar with at most 6 heart marks.
    """
    hearts_positions = random.sample(range(H * W), random.randint(1, 6))
    bar = []
    for i in range(H):
        row = []
        for j in range(W):
            if i * W + j in hearts_positions:
                row.append(1)
            else:
                row.append(0)
        bar.append(row)
    return bar

def tcgen():
    test_cases = []
    while True:
        H = random.randint(1, 12)
        W = random.randint(1, 12)

        if H == W == 0:
            break

        chocolate_bar = generate_chocolate_bar(H, W)
        test_cases.append((H, W, chocolate_bar))
        
        # To add termination condition dataset
        if random.random() < 0.1:  # Adding a small probability to include a termination case
            test_cases.append((0, 0, []))
            break

    return test_cases

# Example usage
if __name__ == "__main__":
    random.seed(42)  # For reproducibility
    test_cases = tcgen()
    for (H, W, bar) in test_cases:
        print(H, W)
        for row in bar:
            print(" ".join(map(str, row)))
```

Explanation:
1. **generate_chocolate_bar(H, W)**: This function generates an H x W chocolate bar with at most 6 '1's (heart marks) randomly placed.
2. **tcgen()**: This function generates multiple test cases based on the constraints. It keeps generating test cases until it decides to add a termination condition dataset `(0, 0)` with a small probability.
3. The example usage at the bottom demonstrates how to use the `tcgen()` function to generate and print test cases.

You can run this script and it will print out multiple test cases in the required format. The output will include the size of the chocolate bar and the actual bar configuration, terminated by a dataset with `H = 0` and `W = 0`. Adjust the probability or logic to include the termination case based on your specific needs for testing.

Extract Arguments

def extract_arguments(fh):
    datasets = []
    while True:
        H, W = map(int, fh.readline().strip().split())
        if H == 0 and W == 0:
            break
        chocolate_bar = [list(map(int, fh.readline().strip().split())) for _ in range(H)]
        datasets.append((H, W, chocolate_bar))
    return datasets

# Example usage:
# if __name__ == "__main__":
#     import sys
#     input_path = sys.argv[1]
#     with open(input_path, 'r') as fh:
#         datasets = extract_arguments(fh)
#         for data in datasets:
#             H, W, chocolate_bar = data
#             f(H, W, chocolate_bar)