```python
def split_cents(total: int, weights: list) -> list:
    if not isinstance(total, int) or isinstance(total, bool): raise ValueError("total must be whole cents")
    if total < 0: raise ValueError("total may not be negative")
    if not isinstance(weights, list) or not weights: raise ValueError("weights must be a non-empty list")
    if not all(isinstance(w, int) and not isinstance(w, bool) and w > 0 for w in weights): raise ValueError("a weight is a positive whole number")
    
    whole = sum(weights)
    parts = [total * w // whole for w in weights]
    leftover_cents = total - sum(parts)
    
    # Find the partners with the largest discarded fractions
    sorted_weights = [(weight, i) for i, weight in enumerate(weights)]
    sorted_weights.sort(key=lambda x: (x[0] % 1, -i))
    
    # Hand leftover cents to the partners with the largest discarded fractions
    for i in range(leftover_cents):
        parts[sorted_weights[i][1]] += 1
    
    return parts
```