ou are given an integer array nums of size n and a positive integer k.Divide the array into one or more arrays of size 3 satisfying the following conditions:Each element of nums should be in exactly one array.The difference between any two elements in one array is less than or equal to k.Return a 2D array containing all the arrays. If it is impossible to satisfy the conditions, return an empty array. And if there are multiple answers, return any of them.

You are given 2 integer arrays nums1 and nums2 of lengths n and m respectively. You are also given a positive integer k.A pair (i, j) is called good if nums1[i] is divisible by nums2[j] * k (0 <= i <= n - 1, 0 <= j <= m - 1).Return the total number of good pairs. Example 1:Input: nums1 = [1,3,4], nums2 = [1,3,4], k = 1Output: 5Explanation:The 5 good pairs are (0, 0), (1, 0), (1, 1), (2, 0), and (2, 2).Example 2:Input: nums1 = [1,2,4,12], nums2 = [2,4], k = 3Output: 2Explanation:The 2 good pairs are (3, 0) and (3, 1). Constraints:1 <= n, m <= 1051 <= nums1[i], nums2[j] <= 1061 <= k <= 103C++ 1class Solution {2public:3    long long numberOfPairs(vector<int>& nums1, vector<int>& nums2, int k) {4        5   }6};

You are given an integer array and an integer K. You have to tell if there exists a pair of integers in the given array such that ar[i]-ar[j]=K and i≠j.Input FormatThe first line of input contains T - the number of test cases. It's followed by 2T lines, the first line contains N and K - the size of the array and the number K. The second line contains the elements of the array.Output FormatFor each test case, print "true" if the arrays contains such elements, "false" otherwise, separated by new line.Constraints40 points2 <= N <= 100060 points2 <= N <= 100000General Constraints1 <= T <= 100-105 <= ar[i], K <= 105ExampleInput25 601 20 40 100 8010 1112 45 52 65 21 645 234 14 575 112Outputtruefalse

You are given a 0-indexed integer array nums having length n, an integer indexDifference, and an integer valueDifference.Your task is to find two indices i and j, both in the range [0, n - 1], that satisfy the following conditions:abs(i - j) >= indexDifference, andabs(nums[i] - nums[j]) >= valueDifferenceReturn an integer array answer, where answer = [i, j] if there are two such indices, and answer = [-1, -1] otherwise. If there are multiple choices for the two indices, return any of them.Note: i and j may be equal. Example 1:Input: nums = [5,1,4,1], indexDifference = 2, valueDifference = 4Output: [0,3]Explanation: In this example, i = 0 and j = 3 can be selected.abs(0 - 3) >= 2 and abs(nums[0] - nums[3]) >= 4.Hence, a valid answer is [0,3].[3,0] is also a valid answer.Example 2:Input: nums = [2,1], indexDifference = 0, valueDifference = 0Output: [0,0]Explanation: In this example, i = 0 and j = 0 can be selected.abs(0 - 0) >= 0 and abs(nums[0] - nums[0]) >= 0.Hence, a valid answer is [0,0].Other valid answers are [0,1], [1,0], and [1,1].Example 3:Input: nums = [1,2,3], indexDifference = 2, valueDifference = 4Output: [-1,-1]Explanation: In this example, it can be shown that it is impossible to find two indices that satisfy both conditions.Hence, [-1,-1] is returned. Constraints:1 <= n == nums.length <= 1050 <= nums[i] <= 1090 <= indexDifference <= 1050 <= valueDifference <= 109

You are given an array of positive integers nums.You need to select a subset of nums which satisfies the following condition:You can place the selected elements in a 0-indexed array such that it follows the pattern: [x, x2, x4, ..., xk/2, xk, xk/2, ..., x4, x2, x] (Note that k can be be any non-negative power of 2). For example, [2, 4, 16, 4, 2] and [3, 9, 3] follow the pattern while [2, 4, 8, 4, 2] does not.Return the maximum number of elements in a subset that satisfies these conditions.

Problem Statement You are given a function, int ElementsAndIndices(int arr[], int n); The function takes an integer array 'arr' of size 'n' as its arguments. Implement the function to find and return the number of array elements which are equal to their index value in array i.e. arr[k] = k, 0 <= k < n. Note: Indexing starts from 0. Return -1 if 'arr' is empty or None in case of python Example: Input: 10 1 12 3 5 8 9 7 12 23 Output: 3 Explanation: Index Element 0 10 1 1 2 12 3 3 4 5 5 8 6 9 7 7 8 12 9 23 Elements at index {1, 3, 7} are equal to their index values {1, 3, 7} respectively. Since, these are 3 elements, thus, output is 3. The custom input format for the above case: 10 10 1 12 3 5 8 9 7 12 23 (The first line represents the size of the array, the second line represents the elements of the array) Sample input -3 0 1 3 5 7 Sample Output 1 The custom input format for the above case: 6 -3 0 1 3 5 7 (The first line represents the size of the array, the second line represents the elements of the array) Instructions : This is a template based question, DO NOT write the "main" function. Your code is judged by an automated system, do not write any additional welcome/greeting messages. "Save and Test" only checks for basic test cases, more rigorous cases will be used to judge your code while scoring. Additional score will be given for writing optimized code both in terms of memory and execution time.