```ts
export function splitCents(total: number, weights: number[]): number[] {
  if (!Number.isInteger(total)) throw new Error("total must be whole cents");
  if (total < 0) throw new Error("total may not be negative");
  if (!Array.isArray(weights) || weights.length === 0) throw new Error("weights must be a non-empty list");
  if (!weights.every((w) => Number.isInteger(w) && w > 0)) throw new Error("a weight is a positive whole number");
  const whole = weights.reduce((a, b) => a + b, 0);
  const parts = weights.map((w) => Math.floor((total * w) / whole));
  let leftover = total - parts.reduce((a, b) => a + b, 0);
  for (let i = 0; leftover > 0 && i < weights.length; ++i) {
    if (parts[i] < Math.floor((total * weights[i]) / whole)) {
      parts[i]++;
      leftover--;
    }
  }
  return parts;
}
```