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 (-1, 1, or 0):

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-1 : My number is lower
 1 : My number is higher
 0 : Congrats! You got it!

Example :

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

Solution:

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

public class Solution extends GuessGame {
    public int guessNumber(int n) {
        int l = 0;
        int r = n + 1;
        while (l < r) {
            int mid = l + (r - l) / 2;
            int guess = guess(mid);
            if (guess == 0) {
                return mid;
            }
            if (guess == 1) {
                l = mid;
            } else {
                r = mid + 1;
            }
        }
        return r;
    }
}