二分查找

11. Container With Most Water题目Given n non-negative integers a1, a2, ..., an , where each represents a point at coordinate (i, ai). n vertical lines are drawn such that the two endpoints of line i is at (i, ai) and (i, 0). Find two lines, which together with x-axis forms a container, such that the container contains the most water. Note: You may not slant the container and n is at least 2. The above vertical lines are represented by array [1,8,6,2,5,4,8,3,7]. In this case, the max area of...

1201. Ugly Number III题目Write a program to find the n-th ugly number. Ugly numbers are positive integers which are divisible by a or b or c. Example 1: Input: n = 3, a = 2, b = 3, c = 5 Output: 4 Explanation: The ugly numbers are 2, 3, 4, 5, 6, 8, 9, 10... The 3rd is 4. Example 2: Input: n = 4, a = 2, b = 3, c = 4 Output: 6 Explanation: The ugly numbers are 2, 3, 4, 6, 8, 9, 10, 12... The 4th is 6. Example 3: Input: n = 5, a = 2, b = 11, c = 13 Output: 10 Explanation: The ugly numbers are...

15. 3Sum题目Given an array nums of n integers, are there elements a, b, c in nums such that a + b + c = 0? Find all unique triplets in the array which gives the sum of zero. Note: The solution set must not contain duplicate triplets. Example: 1234567Given array nums = [-1, 0, 1, 2, -1, -4],A solution set is:[ [-1, 0, 1], [-1, -1, 2]] 题目大意给定一个数组，要求在这个数组中找出 3 个数之和为 0 的所有组合。 解题思路用 map 提前计算好任意 2 个数字之和，保存起来，可以将时间复杂度降到...

209. Minimum Size Subarray Sum题目Given an array of n positive integers and a positive integer s, find the minimal length of a contiguous subarray of which the sum ≥ s. If there isn't one, return 0 instead. Example 1: 123Input: s = 7, nums = [2,3,1,2,4,3]Output: 2Explanation: the subarray [4,3] has the minimal length under the problem constraint. Follow up: If you have figured out the O(n) solution, try coding another solution of which the time complexity is O(n log n)....

5. Longest Palindromic Substring题目Given a string s, return the longest palindromic substring in s. Example 1: 1234Input: s = "babad"Output: "bab"Note: "aba" is also a valid answer. Example 2: 123Input: s = "cbbd"Output: "bb" Example 3: 123Input: s = "a"Output: "a" Example 4: 123Input: s = "ac"Output: "a" Constraints: 1 <= s.length <= 1000 s consist of only digits and English letters...

704. Binary Search题目Given a sorted (in ascending order) integer array nums of n elements and a target value, write a function to search target in nums. If target exists, then return its index, otherwise return -1. 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 Note: You may assume that all elements in nums are...

367. Valid Perfect Square题目Given a positive integer num, write a function which returns True if num is a perfect square else False. Note: Do not use any built-in library function such as sqrt. Example 1: Input: 16 Output: true Example 2: Input: 14 Output: false 完全平方数可以表示为连续奇数的和。 算法原理该算法利用了以下数学特性： 1 = 1（1²） 1 + 3 = 4（2²） 1 + 3 + 5 = 9（3²） 1 + 3 + 5 + 7 = 16（4²） 以此类推，n² = 1 + 3 + 5 + ... + (2n-1) 算法通过不断从目标数中减去连续的奇数（1, 3, 5, 7...），如果最终结果恰好为...

162. Find Peak Element题目A peak element is an element that is greater than its neighbors. Given an input array nums, where nums[i] ≠ nums[i+1], find a peak element and return its index. The array may contain multiple peaks, in that case return the index to any one of the peaks is fine. You may imagine that nums[-1] = nums[n] = -∞. Example 1: Input: nums = [1,2,3,1] Output: 2 Explanation: 3 is a peak element and your function should return the index number 2. Example 2: Input: nums =...

69. Sqrt(x)Given a non-negative integer x, return the square root of x rounded down to the nearest integer. The returned integer should be non-negative as well. You must not use any built-in exponent function or operator. For example, do not use pow(x, 0.5) in c++ or x ** 0.5 in python. Example 1: 123Input: x = 4Output: 2Explanation: The square root of 4 is 2, so we return 2. Example 2: 123Input: x = 8Output: 2Explanation: The square root of 8 is 2.82842..., and since we round it down to...

35. Search Insert Position题目Given a sorted array and a target value, return the index if the target is found. If not, return the index where it would be if it were inserted in order. You may assume no duplicates in the array. Example 1: 12Input: [1,3,5,6], 5Output: 2 Example 2: 12Input: [1,3,5,6], 2Output: 1 Example 3: 12Input: [1,3,5,6], 7Output: 4 Example 4: 12Input: [1,3,5,6], 0Output:...

34. Find First and Last Position of Element in Sorted Array题目Given an array of integers nums sorted in ascending order, find the starting and ending position of a given target value. Your algorithm's runtime complexity must be in the order of O(log n). If the target is not found in the array, return [-1, -1]. Example 1: Input: nums = [5,7,7,8,8,10], target = 8 Output: [3,4] Example 2: Input: nums = [5,7,7,8,8,10], target = 6 Output: [-1,-1] 查找第一个出现的位置： 当找到目标值时，不立即返回，而是继续向左查找（right...

33. Search in Rotated Sorted Array题目Suppose an array sorted in ascending order is rotated at some pivot unknown to you beforehand. (i.e., [0,1,2,4,5,6,7] might become [4,5,6,7,0,1,2]). You are given a target value to search. If found in the array return its index, otherwise return -1. You may assume no duplicate exists in the array. Your algorithm's runtime complexity must be in the order of O(log n). Example 1: Input: nums = [4,5,6,7,0,1,2], target = 0 Output: 4 Example 2: Input: nums...

4. Median of Two Sorted Arrays题目There are two sorted arrays nums1 and nums2 of size m and n respectively. Find the median of the two sorted arrays. The overall run time complexity should be O(log (m+n)). You may assume nums1 and nums2 cannot be both empty. Example 1: nums1 = [1, 3] nums2 = [2] The median is 2.0 Example 2: nums1 = [1, 2] nums2 = [3, 4] The median is (2 + 3)/2 = 2.5 题目大意给定两个大小为 m 和 n 的有序数组 nums1 和 nums2。 请你找出这两个有序数组的中位数，并且要求算法的时间复杂度为 O(log(m +...