```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)
    
    # Calculate the fractional part of each share
    fractions = [(parts[i] / whole) % 1 for i in range(len(weights))]
    
    # Find the partner with the largest discarded fraction
    max_fraction_index = fractions.index(max(fractions))
    
    # Distribute leftover cents to the partner with the largest discarded fraction
    parts[max_fraction_index] += leftover_cents
    
    return parts
```