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’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.

 

这道题是一道典型的猜价格的问题,根据对方说高了还是低了来缩小范围,虽然是道 Easy 题,无脑线性遍历还是会超时 Time Limit Exceeded,所以更快速的方法就是折半搜索法,原理很简单,属于博主之前的总结帖 LeetCode Binary Search Summary 二分搜索法小结 中的第四类-用子函数当作判断关系,参见代码如下:

 

int guess(int num);

class Solution {
public:
    int guessNumber(int n) {
        if (guess(n) == 0) return n;
        int left = 1, right = n;
        while (left < right) {
            int mid = left + (right - left) / 2, t = guess(mid);
            if (t == 0) return mid;
            if (t == 1) left = mid + 1;
            else right = mid;
        }
        return left;
    }
};

 

Github 同步地址:

https://github.com/grandyang/leetcode/issues/374

 

类似题目:

Guess Number Higher or Lower II 

First Bad Version

Find K Closest Elements

 

参考资料:

https://leetcode.com/problems/guess-number-higher-or-lower/

https://leetcode.com/problems/guess-number-higher-or-lower/discuss/84664/0ms-c%2B%2B-binary-search

 

LeetCode All in One 题目讲解汇总(持续更新中…)


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