【陪伴式刷题】Day 1|数组|704.二分查找(Binary Search)

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刷题顺序按照代码随想录建议

题目描述

英文版描述

Given an array of integers nums which is sorted in ascending order, and an integer target, write a function to search target in nums. If target exists, then return its index. Otherwise, return -1.

You must write an algorithm with O(log n) runtime complexity.

Example 1:

Input: nums = [-1,0,3,5,9,12], target = 9 Output: 4 Explanation: 9 exists in nums and its index is 4

Example 2:

Input: nums = [-1,0,3,5,9,12], target = 2 Output: -1 Explanation: 2 does not exist in nums so return -1

Constraints:

  • 1 <= nums.length <= 10(4)
  • -10(4) < nums[i], target < 10(4)
  • All the integers in nums are unique.
  • nums is sorted in ascending order.

英文版地址

leetcode.com/problems/bi…

中文版描述

给定一个 n 个元素有序的(升序)整型数组 nums 和一个目标值 target ,写一个函数搜索 nums 中的 target,如果目标值存在返回下标,否则返回 -1示例 1:

输入: nums = [-1,0,3,5,9,12], target = 9
输出: 4
解释: 9 出现在 nums 中并且下标为 4

示例 2:

输入: nums = [-1,0,3,5,9,12], target = 2
输出: -1
解释: 2 不存在 nums 中因此返回 -1

提示:

  1. 你可以假设 nums 中的所有元素是不重复的。
  2. n 将在 [1, 10000]之间。
  3. nums 的每个元素都将在 [-9999, 9999]之间。

中文版地址

leetcode.cn/problems/bi…

解题方法

俺这版

class Solution {
    public int search(int[] nums, int target) {
        int leftPointer = 0;
        int rightPointer = nums.length - 1;
        while (leftPointer <= rightPointer) {
            int midIndex = leftPointer +
                (int) Math.ceil((rightPointer - leftPointer) / 2.0);
            if (midIndex == leftPointer) {
                if (nums[midIndex] == target) {
                    return midIndex;
                }
                return -1;
            }
            if (nums[midIndex] > target) {
                rightPointer = midIndex - 1;
            } else {
                leftPointer = midIndex;
            }
        }
        return -1;
    }
}

复杂度分析

  • 时间复杂度:O(logN),N是数组长度
  • 空间复杂度:O(1)

官方版

class Solution {
    public int search(int[] nums, int target) {
        int left = 0, right = nums.length - 1;
        while (left <= right) {
            int mid = (right - left) / 2 + left;
            int num = nums[mid];
            if (num == target) {
                return mid;
            } else if (num > target) {
                right = mid - 1;
            } else {
                left = mid + 1;
            }
        }
        return -1;
    }
}

复杂度分析

  • 时间复杂度:O(logN),N是数组长度
  • 空间复杂度:O(1)