```python
def ring_slot(capacity: int, writes: int, k: int) -> int:
    if not isinstance(capacity, int) or capacity <= 0:
        raise ValueError("Capacity must be a positive whole number")
    if not isinstance(writes, int) or writes < 0:
        raise ValueError("Writes must be a non-negative whole number")
    if not isinstance(k, int) or k < 0:
        raise ValueError("K must be a non-negative whole number")
    if k >= min(writes, capacity):
        raise ValueError("K cannot be at or past the survivor count")

    return (writes - k - 1) % capacity
```