You are playing a game with your friend Ajay where Ajay gave you an array 'A' consisting of 'N' integers such that all the elements of the array does not exceed the value 'K'.Ajay has asked you to replace the minimum number of elements (replacement is the following operation: choose some index i from 1 to n and replace a[i] with some integer in range [1;k] ) to satisfy the following conditions:after all replacements, all a[i] are positive integers not greater than k;for all i from 1 to n/2 the following equation is true: a[i]+a[n]−i+1=x, where x should be the same for all n/2 pairs of elements.Note: It is guaranteed that 'N' is even.Input FormatThe first line contains two integers n and k — the length of a and the maximum possible value of some a[i] correspondingly. It is guratanteed that n is even .The second line of the test case contains n integers a1,a2,…,an, where ai is the i-th element of a.Constraints2≤n≤2⋅10^51≤k≤2⋅10^51≤a[i]≤kOutput FormatPrint the integer — the minimum number of elements you have to replace in a to satisfy the conditions from the problem statement.Sample Input 04 41 1 3 1Sample Output 01Sample Input 16 71 1 1 1 2 2Sample Output 11

Given an array of integers A, and an integer K find number of happy elements. Element X is happy if there exists at least 1 element whose difference is less than K i.e. an element X is happy if there is another element in the range [X-K, X+K] other than X itself. Constraints 1 <= N <= 10^5 0 <= K <= 10^5 0 <= A[i] <= 10^9 Input First line contains two integers N and K where N is size of the array and K is a number as described above. Second line contains N integers separated by space. Output Print a single integer denoting the total number of happy elements. Example Input 3 2 1 3 5 Output 3 Explanation All numbers have at least 1 element in the range [X-2, X+2]. Hence they are all happy elements. Since these three are in number, the output is 3. give java code

You are given an integer array nums and a non-negative integer k. A sequence of integers seq is called good if there are at most k indices i in the range [0, seq.length - 2] such that seq[i] != seq[i + 1].Return the maximum possible length of a good subsequence of nums. Example 1:Input: nums = [1,2,1,1,3], k = 2Output: 4Explanation:The maximum length subsequence is [1,2,1,1,3].Example 2:Input: nums = [1,2,3,4,5,1], k = 0Output: 2Explanation:The maximum length subsequence is [1,2,3,4,5,1]. Constraints:1 <= nums.length <= 5001 <= nums[i] <= 1090 <= k <= min(nums.length, 25)Python3 1class Solution:2    def maximumLength(self, nums: List[int], k: int) -> int:

You 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 have been given an array 'A' of N integers. You need to find the maximum value of j - i subjected to the constraint of A[i] <= A[j], where ‘i’ and ‘j’ are the indices of the array.For example :If 'A' = {3, 5, 4, 1}then the output will be 2.Maximum value occurs for the pair (3, 4)Detailed explanation ( Input/output format, Notes, Images )Constraints:1 <= T <= 1001 <= N <= 10 ^ 4-10 ^ 5 <= A[i] <= 10 ^ 5Time limit: 1 sec.Sample Input 1:1934 8 10 3 2 80 30 33 1Sample Output 1:6Explanation:Maximum value occurs for the pair (8, 33)Sample Input 2:1109 2 3 4 5 6 7 8 18 0Sample Output 2:8Explanation:Maximum value occurs for the pair (9, 18)

Little R is a magician who likes non-decreasing arrays. She has an array of length n𝑛, initially as a1,…,an𝑎1,…,𝑎𝑛, in which each element is an integer between [1,m][1,𝑚]. She wants it to be non-decreasing, i.e., a1≤a2≤…≤an𝑎1≤𝑎2≤…≤𝑎𝑛.To do this, she can perform several magic tricks. Little R has a fixed array b1…bm𝑏1…𝑏𝑚 of length m𝑚. Formally, let's define a trick as a procedure that does the following things in order:Choose a set S⊆{1,2,…,n}𝑆⊆{1,2,…,𝑛}.For each u∈S𝑢∈𝑆, assign au𝑎𝑢 with bau𝑏𝑎𝑢.Little R wonders how many tricks are needed at least to make the initial array non-decreasing. If it is not possible with any amount of tricks, print −1−1 instead.InputEach test contains multiple test cases. The first line contains the number of test cases t𝑡 (1≤t≤1041≤𝑡≤104). The description of the test cases follows.The first line of each test case contains two integers n𝑛 and m𝑚 (1≤n≤1061≤𝑛≤106, 1≤m≤1061≤𝑚≤106) — the length of the initial array and the range of the elements in the array.The second line of each test case contains n𝑛 integers a1,…,an𝑎1,…,𝑎𝑛 (1≤ai≤m1≤𝑎𝑖≤𝑚) — the initial array.The third line of each test case contains m𝑚 integers b1,…,bm𝑏1,…,𝑏𝑚 (1≤bi≤m1≤𝑏𝑖≤𝑚) — the fixed magic array.It is guaranteed that the sum of n𝑛 over all test cases does not exceed 106106 and the sum of m𝑚 over all test cases does not exceed 106106.OutputFor each test case, output a single integer: the minimum number of tricks needed, or −1−1 if it is impossible to make a1,…,an𝑎1,…,𝑎𝑛 non-decreasing.ExampleinputCopy35 81 6 3 7 12 3 5 8 7 1 5 63 31 3 22 1 310 102 8 5 4 8 4 1 5 10 106 7 2 6 3 4 1 1 3 5outputCopy3-13