Run Details #1135

Question: Write Python 3.12 code only. Define exactly one function named min_coins_for_amount(amount, coins). Return the minimum number of coins needed to make the amount exactly. If exact change is impossible, raise ValueError. Raise TypeError for invalid input types. Do not use any imports (no numpy, requests, or other libraries). Sandbox note: dunder attribute access is blocked (for example, type(x).__name__). Avoid names/attributes starting with '__'. Expected output format: - Return exactly one fenced Markdown code block starting with ```python and ending with ```. - Put only valid Python code inside that block (no prose before/after). - Use 4 spaces for indentation (not tabs). - Do not return JSON and do not wrap code in a "function" key. Sample input/output behavior: - min_coins_for_amount(44, [1, 4, 22]) -> 2 Task: Write a Python 3.12 function for making change with the fewest coins (e.g., 78c with 1c, 4c, 22c).

Submitted code

```python
def min_coins_for_amount(amount, coins):
    if isinstance(amount, bool) or not isinstance(amount, int):
        raise TypeError("amount must be an integer")
    if not isinstance(coins, (list, tuple)):
        raise TypeError("coins must be a list or tuple")

    for coin in coins:
        if isinstance(coin, bool) or not isinstance(coin, int):
            raise TypeError("coins must contain integers")
        if coin <= 0:
            raise ValueError("coins must be positive")

    if amount < 0:
        raise ValueError("amount must be non-negative")
    if amount == 0:
        return 0
    if not coins:
        raise ValueError("exact change is impossible")

    best = [amount + 1] * (amount + 1)
    best[0] = 0

    for value in range(1, amount + 1):
        for coin in coins:
            if coin <= value:
                candidate = best[value - coin] + 1
                if candidate < best[value]:
                    best[value] = candidate

    if best[amount] == amount + 1:
        raise ValueError("exact change is impossible")
    return best[amount]
```