Saturday, 13 August 2016

Guess Number

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'll tell you whether the number is higher or lower.
You call a pre-defined API guess(int num) which returns 3 possible results (-11, or 0):
-1 : My number is lower
1 : My number is higher
0 : Congrats! You got it!
Example:
n = 10, I pick 6.
Return 6.
Approach : Use binary search to find the given number.



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// Forward declaration of guess API.
// @param num, your guess
// @return -1 if my number is lower, 1 if my number is higher, otherwise return 0
int guess(int num);

class Solution {
public:
    int guessNumber(int n) {
        int low = 1, high = n, mid;
        while(low <= high){
            mid = low + ((high - low) >> 1);
            if(guess(mid) == 0){
                return mid;
            }else if(guess(mid) == -1){
                high = mid - 1;
            }else{
                low = mid + 1;
            }
        }
        return -1;
    }
};
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