from typing import Sequence


def pool_keep_high(pool: Sequence[int], keep: int) -> tuple[int, ...]:
    """Keep a number of the highest dice."""
    pool = list(pool)
    remove = len(pool) - keep
    for _ in range(remove):
        low_value = max(pool)
        low_index = 0
        for i, n in enumerate(pool):
            if n < low_value:
                low_value = n
                low_index = i
        pool.pop(low_index)
    return tuple(pool)