# https://leetcode.com/problems/guess-number-higher-or-lower/
"""
We are playing the Guess Game. The game is as follows:

I pick a number from 1 to n. You have to guess which number I picked.

Every time you guess wrong, I will tell you whether the number I picked is higher or lower than your guess.

You call a pre-defined API int guess(int num), which returns three possible results:

-1: Your guess is higher than the number I picked (i.e. num > pick).
1: Your guess is lower than the number I picked (i.e. num < pick).
0: your guess is equal to the number I picked (i.e. num == pick).
Return the number that I picked.

Example 1:
Input: n = 10, pick = 6
Output: 6

Example 2:
Input: n = 1, pick = 1
Output: 1

Example 3:
Input: n = 2, pick = 1
Output: 1

Constraints:
1 <= n <= 231 - 1
1 <= pick <= n
"""
from typing import Callable


def guess_number(n: int, guess: Callable[[int], int]) -> int:
    lo, hi = 1, n
    while lo <= hi:
        mid = (lo + hi) // 2
        respond = guess(mid)
        match respond:
            case 0:
                return mid
            case -1:
                hi = mid - 1
            case 1:
                lo = mid + 1
    return -1
