LeetCode 374. Guess Number Higher or Lower【二分】简单

这篇博客介绍了一个猜数字游戏的解决方案,利用二分搜索算法提高猜测效率。在给定1到n的范围内,目标是猜出预设的数字。每次猜测后,根据API返回的提示(小于、大于或等于)调整搜索范围,直至找到正确答案。代码实现中,二分搜索在C++环境中运行,达到了0ms的执行时间和5.7MB的内存消耗。

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 3 possible results:

  • -1: The number I picked is lower than your guess (i.e. pick < num).
  • 1: The number I picked is higher than your guess (i.e. pick > num).
  • 0: The number I picked is equal to your guess (i.e. pick == num).

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 

Example 4:

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

Constraints:

  • 1 <= n <= 231 - 1
  • 1 <= pick <= n

题意:猜数字游戏。


解法 二分

/** 
 * 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);
 */
class Solution {
public:
    int guessNumber(int n) {
        int l = 0, h = n;
        while (l <= h) {
            int m = l + (h - l) / 2, t = guess(m);
            if (t == 0) return m;
            else if (t == -1) h = m - 1;
            else l = m + 1; 
        }
        return 0;
    }
};

运行效率如下:

执行用时:0 ms, 在所有 C++ 提交中击败了100.00% 的用户
内存消耗:5.7 MB, 在所有 C++ 提交中击败了82.14% 的用户
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