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[11/16] 374. Guess Number Higher or Lower

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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
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Runtime: 61 ms, faster than 25.75% of Python3 online submissions for Guess Number Higher or Lower.
Memory Usage: 14 MB, less than 16.19% of Python3 online submissions for Guess Number Higher or Lower.
# The guess API is already defined for you.
# @param num, your guess
# @return -1 if num is higher than the picked number
#          1 if num is lower than the picked number
#          otherwise return 0
# def guess(num: int) -> int:

class Solution:
    def guessNumber(self, n: int, low = 0) -> int:
        mid = (n+low)//2
        updown = guess(mid)
        
        if updown == 0: return mid
        elif updown == 1: return self.guessNumber(n, mid+1)
        else: return self.guessNumber(mid-1,0)
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