# 【Day67 - 34. 在排序数组中查找元素的第一个和最后一个位置】

# 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。

你的算法时间复杂度必须是 O(log n) 级别。

如果数组中不存在目标值,返回 [-1, -1]。

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]

来源:力扣(LeetCode) 链接:https://leetcode-cn.com/problems/find-first-and-last-position-of-element-in-sorted-array 著作权归领扣网络所有。商业转载请联系官方授权,非商业转载请注明出处。

# 我的回答

# 解法一

找到一次后,遍历前后返回数组

# 时空复杂度 O(logn)

var searchRange = function (nums, target) {
    let low = 0
    let high = nums.length - 1
    while (low <= high) {
        let mid = low + ((high - low) >> 1)
        if (nums[mid] > target) {
            high = mid - 1
        } else if (nums[mid] < target) {
            low = mid + 1
        } else {
            low = --mid
            high = ++mid
            while (nums[low] == target) {
                low--
            }
            while (nums[high] == target) {
                high++
            }
           return [low + 1, high - 1]
        }
    }
    return [-1, -1]
};

# 解法二

使用模板找两次

# 时空复杂度 O(logn)

function findFirst(nums, target) {
    let low = 0
    let high = nums.length - 1
    while (low <= high) {
        let mid = low + ((high - low) >> 1)
        if (nums[mid] > target) {
            high = mid - 1
        } else if (nums[mid] < target) {
            low = mid + 1
        } else {
            if (nums[mid - 1] !== target) return mid
            high = mid - 1
        }
    }
    return -1
}
function findLast(nums, target) {
    let low = 0
    let high = nums.length - 1
    while (low <= high) {
        let mid = low + ((high - low) >> 1)
        if (nums[mid] > target) {
            high = mid - 1
        } else if (nums[mid] < target) {
            low = mid + 1
        } else {
            if (nums[mid + 1] !== target) return mid
            low = mid + 1
        }
    }
    return -1
}
var searchRange = function (nums, target) {
    let left = findFirst(nums, target)
    let right = findLast(nums, target)
    return [left, right]
}

# 参考回答

Last Updated: 12/22/2022, 9:53:26 AM