Guess Number Higher or Lower

374.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:

1
2
Input: n = 10, pick = 6
Output: 6

Example 2:

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

Example 3:

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

二分法:

时间复杂度:O(logn)

空间复杂度:O(1)

1
2
3
4
5
6
7
8
9
10
11
12
13
14
class Solution {
public:
int guessNumber(int n) {
int left = 0;
int right = n;
while(1) {
int mid = left + (right - left)/2;
if(guess(mid) == 1)left = mid + 1;
else if(guess(mid) == -1) right = mid;
else return mid;
}

}
};