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做的一些题的解题思路,记当前房屋坐标为hous

JavaScript 面试中常见算法难点详解

2017/02/20 · JavaScript · 1 评论 · 算法

原稿出处: 王下邀月熊_Chevalier   

JavaScript 面试中常见算法难题详解 翻译自 Interview Algorithm Questions in Javascript() {…} 从属于作者的 Web 前端入门与工程试行。下文提到的广大题目从算法角度并不绝对要么困难,可是用 JavaScript 内置的 API 来产生只怕须要一番勘探的。

1# Leetcode 367. Valid Perfect Square

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
Returns: True

Example 2:
Input: 14
Returns: False

思路:
以256举例
mid = 128 => 128 * 128 > 256 => end = mid = 128;
mid = 64 => 64 * 64 > 256 => end = mid = 64;
mid = 32 => 32 * 32 > 256 => end = mid = 32;
mid = 16 => 16 * 16 = 256 => return true;

以15举例
mid = 8 => 8 * 8 > 15 => end = mid = 8;
mid = 4 => 4 * 4 > 15 => end = mid = 4;
mid = 2 => 2 * 2 < 15 => start = mid = 2; end = 4;
mid = 3 => 3 * 3 < 15 => start = mid = 3; end = 4;
start + 1 = 3 + 1 = 4 = end, while loop end;
start = 3, 3 * 3 != 15 and end = 4, 4 * 4 != 15;
so return false;

public class Solution {
    public boolean isPerfectSquare(int num) {
        if (num < 1) {
            return false;
        }
        long start = 1;
        long end = num;
        while (start + 1 < end) {
            long mid = start + (end - start) / 2;
            if (mid * mid == num) {
                return true;
            } else if (mid * mid < num) {
                start = mid;
            } else {
                end = mid;
            }
        }
        if (start * start == num || end * end == num) {
            return true;
        }
        return false;
    }
}

做的部分题的解题思路

JavaScript Specification

2# Leetcode 270 Closest Binary Search Tree Value

Product of Array Except Self

除小编之外的数组之积
Given an array of n integers where n > 1, nums, return an array output such that output[i] is equal to the product of all the elements of nums except nums[i].
Solve it without division and in O(n).
For example, given [1,2,3,4], return [24,12,8,6].

解题思路:拆分法
[A_234 , A_134 , A_124 , A_123 ]=
[1 , A_1 , A_12 , A_123 ]*
[A_234 , A_34 , A_4 , 1 ]

/**
 * Created by Administrator on 2017/5/8.
 */
public class LeetCode {

    public static void main(String[] args) {
        // int [] nums={5, 7, 1, 8,3, 10};  //测试
        int[] nums = {1, 3, 5, 6};
        int k = 5;
        int [] res = productExceptSelf(nums);
        for (int i=0;i<res.length;i++) {
            System.out.print(res[i]+" ");
        }
    }

    public static int[] productExceptSelf(int[] nums) {
        final int [] result = new int [nums.length];
        final int [] right = new int [nums.length];
        final int [] left = new int [nums.length];
        left[0]=1;
        for(int i=1;i<nums.length;i++){
            left[i]=left[i-1]*nums[i-1];
        }
        right[nums.length-1]=1;
        for(int i=nums.length-2;i>=0;i--){
            right[i]=right[i+1]*nums[i+1];
        }

        for (int i=0;i<nums.length;i++){
            result[i]=right[i]*left[i];
        }
        return  result;
    }
}

阐释下 JavaScript 中的变量升高

所谓进步,从名称想到所包含的意义就是 JavaScript 会将兼具的注解提高到方今成效域的最上部。那也就象征大家得以在有些变量证明前就动用该变量,不过尽管JavaScript 会将宣示进步到最上端,然而并不会推行真的最早化进度。

3# Leetcode 167 Two Sum II - Input array is sorted

/** 
 *  Method one: Two points 一刷
 *    时间复杂度为O(n), 空间复杂度为O(1)。
 */
public int[] twoSum(int[] numbers, int target) {
    int start = 0;
    int end = numbers.length - 1;
    while (start < end) {
        if (numbers[start] + numbers[end] < target) {
            start ++;
        }
        else if(numbers[start] + numbers[end] > target) {
            end --;
        }
        else {
            break;
        }
    }
    return new int[]{start + 1, end + 1};
}

/**
 *     Method 2: Binary Search 一刷
 *     时间复杂度为O(logn), 空间复杂度为O(1)。
 */
public class Solution {
    public int[] twoSum(int[] numbers, int target) {
        int[] result = {0,0};
        int index1 = 0;
        int index2 = 0;

        for(int i = 0; i < numbers.length - 1; i++ ){
            index1 = i + 1;
            if(numbers[i] > target) {
                return result;
            }

            int gap = target - numbers[i];
            int start = i + 1;
            int end = numbers.length - 1;

            while(start + 1 < end){
                int mid = start + (end - start) / 2;
                if(numbers[mid] == gap) {
                    index2 = mid + 1;
                    result[0] = index1;
                    result[1] = index2;
                    return result;
                }
                if (numbers[mid] > gap) {
                    end = mid;
                }
                if (numbers[mid] < gap) {
                    start = mid;
                }
            }
            if (numbers[start] == gap) {
                result[0] = index1;
                result[1] = start + 1;
            }
            if (numbers[end] == gap) {
                result[0] = index1;
                result[1] = end + 1;
            }
        }
       return result;
    }
}

Increasing Triplet Subsequence

Given an unsorted array return whether an increasing subsequence of length 3 exists or not in the array.

Formally the function should:
Return true if there exists i, j, k
such that arr[i] < arr[j] < arr[k] given 0 ≤ i < j < k ≤ n-1 else return false.
Your algorithm should run in O(n) time complexity and O(1) space complexity.

Examples:
Given [1, 2, 3, 4, 5],
return true.

Given [5, 4, 3, 2, 1],
return false.
用整数最大值去比较,x1记录第一个数,x2记录第二大的数,当出现第三大的数,则return true。

public class Solution {
    public boolean increasingTriplet(int[] nums) {
        int x1=Integer.MAX_VALUE;
        int x2=Integer.MAX_VALUE;

        for(int x: nums){
            if(x<=x1) x1=x;
            else if(x<=x2) x2=x;
            else return true;
        }
        return false;
    }
}

阐述下 use strict; 的作用

use strict; 看名就能够猜到其意义也正是 JavaScript 会在所谓严刻形式下施行,其二个最主要的优势在于可以强制开荒者幸免使用未申明的变量。对于老版本的浏览器依旧实行引擎则会自行忽略该指令。

JavaScript

// Example of strict mode "use strict"; catchThemAll(); function catchThemAll() { x = 3.14; // Error will be thrown return x * x; }

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// Example of strict mode
"use strict";
 
catchThemAll();
function catchThemAll() {
  x = 3.14; // Error will be thrown
  return x * x;
}

4# Leetcode 441. Arranging Coins

You have a total of n coins that you want to form in a staircase shape, where every k-th row must have exactly k coins.

Given n, find the total number of full staircase rows that can be formed.

n is a non-negative integer and fits within the range of a 32-bit signed integer.

Example 1: n = 5
The coins can form the following rows:
¤
¤ ¤
¤ ¤
Because the 3rd row is incomplete, we return 2.

Example 2: n = 8
The coins can form the following rows:
¤
¤ ¤
¤ ¤ ¤
¤ ¤
Because the 4th row is incomplete, we return 3.

思路:

1 + 2 + 3 + ... + k <= n
=>
(k * ( k + 1)) / 2 <= n

public class Solution {
    public int arrangeCoins(int n) {
        int start = 0;
        int end = n;
        int mid = 0;
        while (start <= end){
            mid = start + (end - start) / 2 ;
            if ((0.5 * mid * mid + 0.5 * mid ) <= n){
                start = mid + 1;
            }else{
                end = mid - 1;
            }
        }
        return start - 1;
    }
}

Contains Duplicate II

Given an array of integers and an integer k, find out whether there are two distinct indices i and j in the array such that nums[i] = nums[j] and the absolute difference between i and j is at most k.

维护一个HashMap,key为整数,value为下标,将数组中的元素不断添加到这个Hashmap中,遇到重复时,计算下标距离;
用Integer.MAX_VALUE 设置为比较的初始值;
学会用HashMap是非常关键的。

public class LeetCode {
    public static void main(String[] args) {
        int[] nums = {1, 3, 5, 1,6};
        int k=3;
        System.out.print(containsNearbyDuplicate(nums,k));
    }

    public static boolean containsNearbyDuplicate(int[] nums, int k) {
        final Map<Integer,Integer> map = new HashMap<>();
        int min=Integer.MAX_VALUE;

        for(int i=0;i<nums.length;i++){
            if(map.containsKey(nums[i])){
                final int preIndex=map.get(nums[i]);
                final int gap = i-preIndex;
                min = Math.min(min,gap);
            }
            map.put(nums[i],i);
        }
        return min<=k;
    }
}

释疑下何以是 Event Bubbling 以及如何幸免

Event Bubbling 即指有个别事件不仅仅会接触当前因素,还有大概会以嵌套顺序传递到父成分中。直观来讲就是对于有个别子成分的点击事件一样会被父成分的点击事件处理器捕获。避免伊芙nt Bubbling 的法子得以运用event.stopPropagation() 可能 IE 9 以下使用event.cancelBubble

5# Leetcode 35. Search Insert Position

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.

Here are few examples.
[1,3,5,6], 5 → 2
[1,3,5,6], 2 → 1
[1,3,5,6], 7 → 4
[1,3,5,6], 0 → 0

public class Solution {
    public int searchInsert(int[] nums, int target) {
        if (nums.length == 0 || nums == null) {
            return 0;
        }
        int start = 0;
        int end = nums.length - 1;
        while (start + 1 < end) {
            int mid = start + (end - start) / 2;
            if (nums[mid] == target) {
                return mid;
            }
            else if (nums[mid] < target) {
                start = mid;
            }
            else {
                end = mid;
            }
        }
        if (nums[start] >= target) {
            return start;
        }
        else if (nums[end] >= target) {
            return end;
        }
        else {
            return end + 1;
        }
    }
}

Add Two Numbers

You are given two non-empty linked lists representing two non-negative integers. The digits are stored in reverse order and each of their nodes contain a single digit. Add the two numbers and return it as a linked list.

You may assume the two numbers do not contain any leading zero, except the number 0 itself.

Input: (2 -> 4 -> 3) + (5 -> 6 -> 4)
Output: 7 -> 0 -> 8
主要学习怎么创建链表,怎么定义链表

public class LeetCode {
    public static void main(String[] args) {
        int[] inputl1=new int[]{2,4,3};
        int[] inputl2=new int[]{5,6,4};
        ListNode l1=buildListNode(inputl1);
        ListNode l2=buildListNode(inputl2);
        ListNode listNode =addTwoNumbers(l1,l2);
        while(listNode!=null){
            System.out.println("val "+listNode.val);
            listNode=listNode.next;
        }
    }
    //定义链表
   public static class ListNode{
        int val;
        ListNode next;
        ListNode(int val){
            this.val=val;
            this.next=null;
        }
    }
    //创建链表
    private static ListNode buildListNode(int[] input){
        ListNode first = null,last = null,newNode;
        int num;
        if(input.length>0){
            for(int i=0;i<input.length;i++){
                newNode=new ListNode(input[i]);
                newNode.next=null;
                if(first==null){
                    first=newNode;
                    last=newNode;
                }
                else{
                    last.next=newNode;
                    last=newNode;
                }
            }
        }
        return first;
    }

    /**
     * Definition for singly-linked list.
     * public class ListNode {
     *     int val;
     *     ListNode next;
     *     ListNode(int x) { val = x; }
     * }
     */
        public static ListNode addTwoNumbers(ListNode l1, ListNode l2) {
           ListNode dummy =new ListNode(-1);
           int carry = 0;
           ListNode prev = dummy;
           for(ListNode pa=l1 ,  pb=l2 ; pa!=null || pb!=null ;
            pa=pa==null?null : pa.next,
            pb=pb==null ? null : pb.next,
            prev=prev.next){
               final int ai=pa==null?0:pa.val;
               final int bi=pb==null?0:pb.val;
               final int value=(ai+bi+carry)%10;
               carry=(ai+bi+carry)/10;
               prev.next=new ListNode (value);
            }

            if(carry>0)
                prev.next=new ListNode (carry);
            return dummy.next;
    }
}

== 与 === 的区别是怎么

=== 也正是所谓的严加比较,关键的区分在于=== 会同期相比类型与值,实际不是仅相比值。

JavaScript

// Example of comparators 0 == false; // true 0 === false; // false 2 == '2'; // true 2 === '2'; // false

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// Example of comparators
0 == false; // true
0 === false; // false
 
2 == '2'; // true
2 === '2'; // false

6# Leetcode 374. Guess Number Higher or Lower

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'll tell you whether the number is higher or lower.

You call a pre-defined API guess(int num) which returns 3 possible results (-1, 1, or 0):

-1 : My number is lower
1 : My number is higher
0 : Congrats! You got it!

Example:
n = 10, I pick 6.
Return 6.

/* The guess API is defined in the parent class GuessGame.
   @param num, your guess
   @return -1 if my number is lower, 1 if my number is higher, otherwise return 0
      int guess(int num); */

public class Solution extends GuessGame {
    public int guessNumber(int n) {
        int start = 1, end = n;
        while(start + 1 < end) {
            int mid = start + (end - start) / 2;
            if(guess(mid) == 0) {
                return mid;
            } else if(guess(mid) == 1) {
                start = mid;
            } else {
                end = mid;
            }
        }
        if(guess(start) == 1) {
            return end;
        }
        return start;
    }
}

Evaluate Reverse Polish Notation

测算逆波兰(Poland)表明式(又叫后缀表明式)的值

'' 2 '','' 1 '','' + '', ''3'', ''* '' -->(2+1)*3-->9

用仓库遭遇运算符则把后边八个拿出去运算

public class Main {
    public static void main(String[] args) {
       String []tokens={"2", "1", "+", "3", "*"};
        System.out.print(evalRPN(tokens));
    }

    public static int evalRPN(String [] tokens){
        Stack<String> s = new Stack<>();
        if(tokens.length==1){
            return Integer.parseInt(tokens[0]);
        }
        for(String token:tokens){
            if(!isOperator(token)){
                s.push(token);
            }else {
                int y=Integer.parseInt(s.pop());
                int x=Integer.parseInt(s.pop());
                switch (token.charAt(0)){
                    case '+':x+=y;break;
                    case '-':x-=y;break;
                    case '*':x*=y;break;
                    case '/':x/=y;break;
                }
                s.push(String.valueOf(x));
            }
        }
        return Integer.parseInt(s.peek());
    }

    private static boolean isOperator(final String op){
        return op.length() == 1 && OPS.indexOf(op)!=-1;
    }

    private static String OPS = new String("+-*/");
}

解释下 null 与 undefined 的区别

JavaScript 中,null 是一个得以被分配的值,设置为 null 的变量意味着其无值。而 undefined 则意味着有个别变量固然声称了然而并未有举办过任何赋值。

7# Leetcode 69. Sqrt(x)

Implement int sqrt(int x).
Compute and return the square root of x.

public class Solution {
    public int mySqrt(int x) {
        long start = 1;
        long end = x;
        while (start + 1 < end) {
            long mid = start + (end - start) / 2;
            if(mid * mid <= x) {
                start = mid;
            }
            else {
                end = mid;
            }
        }
        if(end * end <= x) {
            return (int)end;
        }
        return (int)start;
    }
}

解释下 Prototypal Inheritance 与 Classical Inheritance 的区别

在类承接中,类是不可变的,分裂的语言中对于多三番八遍的援救也区别,有个别语言中还援助接口、final、abstract 的定义。而原型承继则进一步灵活,原型本人是足以可变的,並且对象恐怕三番五次自多少个原型。

8# Leetcode 278. First Bad Version

You are a product manager and currently leading a team to develop a new product. Unfortunately, the latest version of your product fails the quality check. Since each version is developed based on the previous version, all the versions after a bad version are also bad.

Suppose you have n versions [1, 2, ..., n] and you want to find out the first bad one, which causes all the following ones to be bad.

You are given an API bool isBadVersion(version) which will return whether version is bad. Implement a function to find the first bad version. You should minimize the number of calls to the API.

/* The isBadVersion API is defined in the parent class VersionControl.
      boolean isBadVersion(int version); */

public class Solution extends VersionControl {
    public int firstBadVersion(int n) {
        int start = 1;
        int end = n;
        while (start + 1 < end) {
            int mid = start + (end - start) / 2;
            if (isBadVersion(mid)) {
                end = mid;
            }
            else {
                start = mid;
            }
        }
        if(isBadVersion(start)) {
            return start;
        }
        return end;
    }
}

数组

9# Leetcode 475. Heaters

Winter is coming! Your first job during the contest is to design a standard heater with fixed warm radius to warm all the houses.

Now, you are given positions of houses and heaters on a horizontal line, find out the minimum radius of heaters so that all houses could be covered by those heaters.

So, your input will be the positions of houses and heaters separately, and your expected output will be the minimum radius standard of heaters.

Note:
Numbers of houses and heaters you are given are non-negative and will not exceed 25000.

Positions of houses and heaters you are given are non-negative and will not exceed 10^9.

As long as a house is in the heaters' warm radius range, it can be warmed.

All the heaters follow your radius standard and the warm radius will the same.

Example 1:
Input: [1,2,3],[2]
Output: 1
Explanation: The only heater was placed in the position 2, and if we use the radius 1 standard, then all the houses can be warmed.

Example 2:
Input: [1,2,3,4],[1,4]
Output: 1
Explanation: The two heater was placed in the position 1 and 4. We need to use radius 1 standard, then all the houses can be warmed.

升序排列加热器的坐标heaters
遍历屋子houses,记当前屋子坐标为house:
使用二分查找,分别找到不超越house的最大加热器坐标left,以及不低于house的小小加热器坐标right(即左右多年来的heater), 则当前屋企所需的非常的小加热器半径radius = min(house - left, right - house)。利用radius更新最后答案。

public class Solution {
    public int findRadius(int[] houses, int[] heaters) {
        //sort
        Arrays.sort(houses);
        Arrays.sort(heaters);

        int radius = 0;
        for( int house: houses) {
            int local = binarySearch(heaters, house);
            radius = Math.max(radius, local);
        }
        return radius;
    }

    private int binarySearch(int[] heaters, int target) {
        int start = 0;
        int end = heaters.length - 1;
        while (start + 1 < end) {
            int mid = start + (end - start) / 2;
            if (heaters[mid] == target) {
                return 0;
            } else if (heaters[mid] < target) {
                start = mid;
            } else {
                end = mid;
            }
        }
        return Math.min (Math.abs(target - heaters[start]),
                        Math.abs(target - heaters[end]));
    }
}

寻找整型数组中乘积最大的三个数

给定壹个富含整数的冬辰数组,供给搜索乘积最大的多个数。

JavaScript

var unsorted_array = [-10, 7, 29, 30, 5, -10, -70]; computeProduct(unsorted_array); // 21000 function sortIntegers(a, b) { return a - b; } // greatest product is either (min1 * min2 * max1 || max1 * max2 * max3) function computeProduct(unsorted) { var sorted_array = unsorted.sort(sortIntegers), product1 = 1, product2 = 1, array_n_element = sorted_array.length - 1; // Get the product of three largest integers in sorted array for (var x = array_n_element; x > array_n_element - 3; x--) { product1 = product1 * sorted_array[x]; } product2 = sorted_array[0] * sorted_array[1] * sorted_array[array_n_element]; if (product1 > product2) return product1; return product2 };

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var unsorted_array = [-10, 7, 29, 30, 5, -10, -70];
 
computeProduct(unsorted_array); // 21000
 
function sortIntegers(a, b) {
  return a - b;
}
 
// greatest product is either (min1 * min2 * max1 || max1 * max2 * max3)
function computeProduct(unsorted) {
  var sorted_array = unsorted.sort(sortIntegers),
    product1 = 1,
    product2 = 1,
    array_n_element = sorted_array.length - 1;
 
  // Get the product of three largest integers in sorted array
  for (var x = array_n_element; x > array_n_element - 3; x--) {
      product1 = product1 * sorted_array[x];
  }
  product2 = sorted_array[0] * sorted_array[1] * sorted_array[array_n_element];
 
  if (product1 > product2) return product1;
 
  return product2
};

10# Leetcode 349. Intersection of Two Arrays

Given two arrays, write a function to compute their intersection.

Example:
Given nums1 = [1, 2, 2, 1], nums2 = [2, 2], return [2].

Note:
Each element in the result must be unique.
The result can be in any order.

public class Solution {
    public int[] intersection(int[] nums1, int[] nums2) {
        if(nums1 == null || nums2 == null) {
            return null;
        }

        HashSet<Integer> set = new HashSet<>();
        Arrays.sort(nums1);

        for (int i = 0; i < nums2.length; i++) {
            if(set.contains(nums2[i])){
                continue;
            }
            if(binarySearch(num1, nums2[i])) {
                set.add(nums2[i]);
            }
        }

        int[] result = new int[set.size()];
        int index = 0;
        for (Integer num : set) {
            result[index++] = num;
        }
        return result;
    }

    private boolean binarySearch(int[] nums, int target) {
        if (nums == null || nums.length == 0) {
            return false;
        }
        int start = 0;
        int end = nums.length - 1;
        while (start + 1 < end) {
            int mid = start + (end - start) / 2;
            if (nums[mid] == target) {
                return true;
            }
            else if (nums[mid] < target) {
                start = mid;
            }
            else {
                end = mid;
            }
        }

        if(nums[start] == target || nums[end] == target) {
            return true;
        }
        return false;
    }
}

寻觅三番五次数组中的缺点和失误数

给定某冬天数组,其蕴藉了 n 个一而再数字中的 n – 1 个,已知上上边界,须要以O(n)的复杂度找寻缺点和失误的数字。

JavaScript

// The output of the function should be 8 var array_of_integers = [2, 5, 1, 4, 9, 6, 3, 7]; var upper_bound = 9; var lower_bound = 1; findMissingNumber(array_of_integers, upper_bound, lower_bound); //8 function findMissingNumber(array_of_integers, upper_bound, lower_bound) { // Iterate through array to find the sum of the numbers var sum_of_integers = 0; for (var i = 0; i < array_of_integers.length; i++) { sum_of_integers += array_of_integers[i]; } // 以高斯求和公式总计理论上的数组和 // Formula: [(N * (N + 1)) / 2] - [(M * (M - 1)) / 2]; // N is the upper bound and M is the lower bound upper_limit_sum = (upper_bound * (upper_bound + 1)) / 2; lower_limit_sum = (lower_bound * (lower_bound - 1)) / 2; theoretical_sum = upper_limit_sum - lower_limit_sum; // return (theoretical_sum - sum_of_integers) }

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// The output of the function should be 8
var array_of_integers = [2, 5, 1, 4, 9, 6, 3, 7];
var upper_bound = 9;
var lower_bound = 1;
 
findMissingNumber(array_of_integers, upper_bound, lower_bound); //8
 
function findMissingNumber(array_of_integers, upper_bound, lower_bound) {
 
  // Iterate through array to find the sum of the numbers
  var sum_of_integers = 0;
  for (var i = 0; i < array_of_integers.length; i++) {
    sum_of_integers += array_of_integers[i];
  }
 
  // 以高斯求和公式计算理论上的数组和
  // Formula: [(N * (N + 1)) / 2] - [(M * (M - 1)) / 2];
  // N is the upper bound and M is the lower bound
 
  upper_limit_sum = (upper_bound * (upper_bound + 1)) / 2;
  lower_limit_sum = (lower_bound * (lower_bound - 1)) / 2;
 
  theoretical_sum = upper_limit_sum - lower_limit_sum;
 
  //
  return (theoretical_sum - sum_of_integers)
}

11# Leetcode 350. Intersection of Two Arrays II

Given two arrays, write a function to compute their intersection.

Example:
Given nums1 = [1, 2, 2, 1], nums2 = [2, 2], return [2, 2].

Note:
Each element in the result should appear as many times as it shows in both arrays.
The result can be in any order.
Follow up:
What if the given array is already sorted? How would you optimize your algorithm?
What if nums1's size is small compared to nums2's size? Which algorithm is better?
What if elements of nums2 are stored on disk, and the memory is limited such that you cannot load all elements into the memory at once?

public class Solution {
    public int[] intersect(int[] nums1, int[] nums2) {
        Arrays.sort(nums1);
        Arrays.sort(nums2);
        int index1 = 0;
        int index2 = 0;
        List<Integer> list = new ArrayList<>();
        while(index1 < nums1.length && index2 < nums2.length) {
            if (nums1[index1] == nums2[index2]) {
                list.add(nums1[index1]);
                index1++;
                index2++;
            } else if (nums1[index1] < nums2[index2]) {
                index1++;
            } else if (nums1[index1] > nums2[index2]) {
                index2++;
            }
        }
        int[] result = new int[list.size()];
        int index = 0;
        for (int element: list) {
            result[index++] = element;
        }
        return result;
    }
}

数组去重

给定某无序数组,须求删除数组中的重复数字而且再次来到新的无重复数组。

JavaScript

// ES6 Implementation var array = [1, 2, 3, 5, 1, 5, 9, 1, 2, 8]; Array.from(new Set(array)); // [1, 2, 3, 5, 9, 8] // ES5 Implementation var array = [1, 2, 3, 5, 1, 5, 9, 1, 2, 8]; uniqueArray(array); // [1, 2, 3, 5, 9, 8] function uniqueArray(array) { var hashmap = {}; var unique = []; for(var i = 0; i < array.length; i++) { // If key returns null (unique), it is evaluated as false. if(!hashmap.hasOwnProperty([array[i]])) { hashmap[array[i]] = 1; unique.push(array[i]); } } return unique; }

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// ES6 Implementation
var array = [1, 2, 3, 5, 1, 5, 9, 1, 2, 8];
 
Array.from(new Set(array)); // [1, 2, 3, 5, 9, 8]
 
 
// ES5 Implementation
var array = [1, 2, 3, 5, 1, 5, 9, 1, 2, 8];
 
uniqueArray(array); // [1, 2, 3, 5, 9, 8]
 
function uniqueArray(array) {
  var hashmap = {};
  var unique = [];
  for(var i = 0; i < array.length; i++) {
    // If key returns null (unique), it is evaluated as false.
    if(!hashmap.hasOwnProperty([array[i]])) {
      hashmap[array[i]] = 1;
      unique.push(array[i]);
    }
  }
  return unique;
}

12# Leetcode 153. Find Minimum in Rotated Sorted Array

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).

Find the minimum element.

You may assume no duplicate exists in the array.

public class Solution {
    public int findMin(int[] nums) {
        if (nums == null || nums.length == 0) {
            return -1;
        }
        int start = 0;
        int end = nums.length - 1;
        int target = nums[nums.length - 1];

        while (start + 1 < end) {
            int mid = start + (end - start) / 2;
            if (nums[mid] <= target) {
                end = mid;
            }
            else {
                start = mid;
            }
        }
        if (nums[start] <= target) {
            return nums[start];
        } else {
            return nums[end];
        }
    }
}

数组桐月素最大差值总计

给定某冬辰数组,求取大肆八个要素之间的最大差值,注意,这里供给差值总计中很小的因素下标必得低于极大因素的下标。比方[7, 8, 4, 9, 9, 15, 3, 1, 10]以此数组的总括值是 11( 15 – 4 ) 而不是 14(15 – 1),因为 15 的下标小于 1。

JavaScript

var array = [7, 8, 4, 9, 9, 15, 3, 1, 10]; // [7, 8, 4, 9, 9, 15, 3, 1, 10] would return `11` based on the difference between `4` and `15` // Notice: It is not `14` from the difference between `15` and `澳门三合彩票,1` because 15 comes before 1. findLargestDifference(array); function findLargestDifference(array) { // 要是数组只有多个要素,则直接回到 -1 if (array.length <= 1) return -1; // current_min 指向当前的小小值 var current_min = array[0]; var current_max_difference = 0; // 遍历整个数组以求取当前最大差值,假使开采有个别最大差值,则将新的值覆盖 current_max_difference // 同不经常间也会追踪当前数组中的最小值,进而保险 `largest value in future` - `smallest value before it` for (var i = 1; i < array.length; i++) { if (array[i] > current_min && (array[i] - current_min > current_max_difference)) { current_max_difference = array[i] - current_min; } else if (array[i] <= current_min) { current_min = array[i]; } } // If negative or 0, there is no largest difference if (current_max_difference <= 0) return -1; return current_max_difference; }

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var array = [7, 8, 4, 9, 9, 15, 3, 1, 10];
// [7, 8, 4, 9, 9, 15, 3, 1, 10] would return `11` based on the difference between `4` and `15`
// Notice: It is not `14` from the difference between `15` and `1` because 15 comes before 1.
 
findLargestDifference(array);
 
function findLargestDifference(array) {
 
  // 如果数组仅有一个元素,则直接返回 -1
 
  if (array.length <= 1) return -1;
 
  // current_min 指向当前的最小值
 
  var current_min = array[0];
  var current_max_difference = 0;
  
  // 遍历整个数组以求取当前最大差值,如果发现某个最大差值,则将新的值覆盖 current_max_difference
  // 同时也会追踪当前数组中的最小值,从而保证 `largest value in future` - `smallest value before it`
 
  for (var i = 1; i < array.length; i++) {
    if (array[i] > current_min && (array[i] - current_min > current_max_difference)) {
      current_max_difference = array[i] - current_min;
    } else if (array[i] <= current_min) {
      current_min = array[i];
    }
  }
 
  // If negative or 0, there is no largest difference
  if (current_max_difference <= 0) return -1;
 
  return current_max_difference;
}

13# Leetcode 154. Find Minimum in Rotated Sorted Array II

// version 1: just for loop is enough
public class Solution {
    public int findMin(int[] nums) {
        //  这道题目在面试中不会让写完整的程序
        //  只需要知道最坏情况下 [1,1,1....,1] 里有一个0
        //  这种情况使得时间复杂度必须是 O(n)
        //  因此写一个for循环就好了。
        //  如果你觉得,不是每个情况都是最坏情况,你想用二分法解决不是最坏情况的情况,那你就写一个二分吧。
        //  反正面试考的不是你在这个题上会不会用二分法。这个题的考点是你想不想得到最坏情况。
        int min = nums[0];
        for (int i = 1; i < nums.length; i++) {
            if (nums[i] < min)
                min = nums[i];
        }
        return min;
    }
}

// version 2: use *fake* binary-search
public class Solution {
    /**
     * @param num: a rotated sorted array
     * @return: the minimum number in the array
     */
    public int findMin(int[] nums) {
        if (nums == null || nums.length == 0) {
            return -1;
        }

        int start = 0, end = nums.length - 1;
        while (start + 1 < end) {
            int mid = start + (end - start) / 2;
            if (nums[mid] == nums[end]) {
                // if mid equals to end, that means it's fine to remove end
                // the smallest element won't be removed
                end--;
            } else if (nums[mid] < nums[end]) {
                end = mid;
            } else {
                start = mid;
            }
        }

        if (nums[start] <= nums[end]) {
            return nums[start];
        }
        return nums[end];
    }
}

数组相月素乘积

给定某严节数组,要求重回新数组 output ,个中 output[i] 为原数组中除了下标为 i 的因素之外的要素乘积,须要以 O(n) 复杂度完成:

JavaScript

var firstArray = [2, 2, 4, 1]; var secondArray = [0, 0, 0, 2]; var thirdArray = [-2, -2, -3, 2]; productExceptSelf(firstArray); // [8, 8, 4, 16] productExceptSelf(secondArray); // [0, 0, 0, 0] productExceptSelf(thirdArray); // [12, 12, 8, -12] function productExceptSelf(numArray) { var product = 1; var size = numArray.length; var output = []; // From first array: [1, 2, 4, 16] // The last number in this case is already in the right spot (allows for us) // to just multiply by 1 in the next step. // This step essentially gets the product to the left of the index at index + 1 for (var x = 0; x < size; x++) { output.push(product); product = product * numArray[x]; } // From the back, we multiply the current output element (which represents the product // on the left of the index, and multiplies it by the product on the right of the element) var product = 1; for (var i = size - 1; i > -1; i--) { output[i] = output[i] * product; product = product * numArray[i]; } return output; }

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var firstArray = [2, 2, 4, 1];
var secondArray = [0, 0, 0, 2];
var thirdArray = [-2, -2, -3, 2];
 
productExceptSelf(firstArray); // [8, 8, 4, 16]
productExceptSelf(secondArray); // [0, 0, 0, 0]
productExceptSelf(thirdArray); // [12, 12, 8, -12]
 
function productExceptSelf(numArray) {
  var product = 1;
  var size = numArray.length;
  var output = [];
 
  // From first array: [1, 2, 4, 16]
  // The last number in this case is already in the right spot (allows for us)
  // to just multiply by 1 in the next step.
  // This step essentially gets the product to the left of the index at index + 1
  for (var x = 0; x < size; x++) {
      output.push(product);
      product = product * numArray[x];
  }
 
  // From the back, we multiply the current output element (which represents the product
  // on the left of the index, and multiplies it by the product on the right of the element)
  var product = 1;
  for (var i = size - 1; i > -1; i--) {
      output[i] = output[i] * product;
      product = product * numArray[i];
  }
 
  return output;
}

14# Leetcode 33. Search in Rotated Sorted Array

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.

public class Solution {
    public int search(int[] nums, int target) {
        if (nums == null || nums.length == 0) {
            return -1;
        }
        int start = 0;
        int end = nums.length - 1;
        while (start + 1 < end) {
            int mid = start + (end - start) / 2;
            if (nums[mid] == target) {
                return mid;
            }
            if (nums[start] < nums[mid]) {
                if (nums[start] <= target && target <= nums[mid]) {
                    end = mid;
                } else {
                    start = mid;
                } 
            }
            else {
                if (nums[mid] <= target && target <= nums[end]) {
                    start = mid;
                }
                else {
                    end = mid;
                }
            }
        }
        if (nums[start] == target) {
            return start;
        }
        if (nums[end] ==  target) {
            return end;
        }
        return -1;
    }
}

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