```python
"""Count the hits a key stream scores on a direct-mapped cache."""


def slot_hits(keys: list, slots: int) -> int:
    if not isinstance(slots, int) or slots <= 0:
        raise ValueError("Slot count must be a positive integer.")
    
    held = [None] * slots
    hits = 0
    
    for key in keys:
        if not isinstance(key, int):
            raise ValueError("All keys must be integers.")
        
        slot = key % slots
        if held[slot] == key:
            hits += 1
        else:
            held[slot] = key
    
    return hits
```