```python
from typing import *
from collections import *

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
    fractional_parts = [(parts[i] / whole) % 1 for i in range(len(parts))]
    
    # Sort partners by their discarded fraction, ties to earlier partner
    sorted_indices = sorted(range(len(parts)), key=lambda x: (fractional_parts[x], parts[x]))
    
    # Distribute leftover cents to the partners with the largest discarded fractions
    for i in range(leftover_cents):
        parts[sorted_indices[i]] += 1
    
    return parts
```