在排序数组中查找元素的第一个和最后一个位置

题目链接:https://leetcode-cn.com/problems/find-first-and-last-position-of-element-in-sorted-array
题目描述:
给定一个按照升序排列的整数数组 nums,和一个目标值 target。找出给定目标值在数组中的开始位置和结束位置。

如果数组中不存在目标值 target,返回 [-1, -1]。

进阶:

你可以设计并实现时间复杂度为 O(log n) 的算法解决此问题吗?

示例 1:

输入:nums = [5,7,7,8,8,10], target = 8
输出:[3,4]
示例 2:

输入:nums = [5,7,7,8,8,10], target = 6
输出:[-1,-1]
示例 3:

输入:nums = [], target = 0
输出:[-1,-1]

提示:

0 <= nums.length <= 105
-109 <= nums[i] <= 109
nums 是一个非递减数组
-109 <= target <= 109

题解:

class Solution {
public:
    vector<int> searchRange(vector<int>& nums, int target) {
        int leftBoard = getLeftSearch(nums, target);
        int rightBoard = getRightSearch(nums, target);
        if(leftBoard <= rightBoard && nums[leftBoard] == target && nums[rightBoard] == target)
            return {leftBoard, rightBoard};
        return {-1, -1};
    }

    int getLeftSearch(vector<int>& nums, int target)
    {
        int left = -1;
        int right = nums.size();
        while(left + 1 != right)
        {
            int mid = left + (right - left) / 2;
            if(nums[mid] < target)
                left = mid;
            else
                right = mid;
        }
        return right;
    }

    int getRightSearch(vector<int>& nums, int target)
    {
        int left = -1;
        int right = nums.size();
        while(left + 1 != right)
        {
            int mid = left + (right - left) / 2;
            if(nums[mid] <= target)
                left = mid;
            else 
                right = mid;
            
        }
        return left;
    }
};

posted @ 2021-11-19 11:20  张宵  阅读(25)  评论(0编辑  收藏  举报