```
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")
    
    total_cents = total
    whole = sum(weights)
    
    # Calculate initial parts
    parts = [total * w // whole for w in weights]
    
    # Calculate leftover cents
    leftover_cents = total_cents - sum(parts)
    
    # Distribute leftover cents to the partners with the largest discarded fractions
    if leftover_cents > 0:
        sorted_indices = sorted(range(len(weights)), key=lambda i: (parts[i] / whole) % 1, reverse=True)
        
        for i in sorted_indices:
            if leftover_cents > 0:
                parts[i] += 1
                leftover_cents -= 1
    
    return parts
```