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

def ring_slot(capacity: int, writes: int, k: int) -> int:
    if capacity <= 0 or writes < 0 or k < 0:
        raise ValueError("Invalid arguments")
    
    slots = [None] * capacity
    
    for i in range(writes):
        slots[i % capacity] = i
    
    survivors = sorted(slots, reverse=True)[:min(writes, capacity)]
    
    return survivors[k]
```