Problem 6: Suppose you are given an unsorted array A of all integers in the range 0 to n except for one integer, called the missing number. Assume n = 2k − 1. Using the divide and conquer strategy design an O(n)-algorithm to find the missing number.
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Problem 6: Suppose you are given an unsorted array A of all integers in the range 0 to
n except for one integer, called the missing number. Assume n = 2k − 1. Using the divide
and conquer strategy design an O(n)-
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- Multiply left and right array sum. Basic Accuracy: 54.29% Submissions: 12630 Points: 1 Pitsy needs help in the given task by her teacher. The task is to divide a array into two sub array (left and right) containing n/2 elements each and do the sum of the subarrays and then multiply both the subarrays. Example 1: â€1.Given an array arr[] and an integer K where K is smaller than size of array, the task is to find the Kth smallest element in the given array. It is given that all array elements are distinct. Note :- l and r denotes the starting and ending index of the array. Example 1: Input: N = 6 arr[] = 7 10 4 3 20 15 K = 3 Output : 7.Course: Data structure and algorithms: Topic: Algorithm Complexity: Please solve it o emergency basis: Question 2: Imagine that we want to keep track of friendships between n people. We can do this with an array of size nXn. Each row of the array represents the friends of an individual, with the columns indicating who has that individual as a friend. For example, if person j is a friend of person i, then we place a mark in column j of row i in the array. Likewise, we should also place a mark in column i of row j if we assume that friendship works both ways. What will be the space complexity of this problem.Q: Consider an array consisting of the following sequence: 1, 4, 9, 16, 25, 49, …, n Suppose a number in the sequence is missing. Write the mathematical process to find the missing number, i.e. some equation. What is the time complexity of finding the missing number in the sequence?Question # 02: Let's assume we want to find the largest number in a non-empty array A. A sample solution can be following: def max(A): answer = A[0] for j in range(1,len(A)): // in pseudo-code: for i-1,.,len(A)-1 if (A[j]>answer): answer = A[j] return answer Perform the code correction check including the loop invariance.Question # 02: Let’s assume we want to find the largest number in a non-empty array A. A sample solution can be following: def max(A): answer = A[0] for j in range(1,len(A)): // in pseudo-code: for i=1,...,len(A)-1 if (A[j]>answer): answer = A[j] return answer Perform the code correction check including the loop invariance. Question # 03: illustrate the operation of merge sort on the array A = {3; 41; 52; 26; 38; 57; 9; 49}. Question # 04: Answer the following short questions: a) Is 2n+1 = O(2n)? b) Is 22n = O(2n)? c) f(n)=O(g(n)) implies g(n)=O(f(n)) d) f(n) = O((f(n))2)9).An array of integers nums sorted in ascending order, find the startingand ending position of a given target value. If the target is not found in thearray, return [-1, -1]. For example:Input: nums = [5,7,7,8,8,8,10], target = 8Output: [3,5]Input: nums = [5,7,7,8,8,8,10], target = 11Output: [-1,-1]. Please weite your Code.Q: Consider an array consisting of the following sequence: 1, 4, 9, 16, 25, 49, …, n Suppose a number in the sequence is missing. (a). Write the mathematical process to find the missing number, i.e. some equation. (b). What is the time complexity of finding the missing number in the sequence?Correct answer will be upvoted else Multiple Downvoted. Computer science. you can choose two indices x and y (x≠y) and set ax=⌈axay⌉ (ceiling function). Your goal is to make array a consist of n−1 ones and 1 two in no more than n+5 steps. Note that you don't have to minimize the number of steps. Input The first line contains a single integer t (1≤t≤1000) — the number of test cases. The first and only line of each test case contains the single integer n (3≤n≤2⋅105) — the length of array a. It's guaranteed that the sum of n over test cases doesn't exceed 2⋅105. Output For each test case, print the sequence of operations that will make a as n−1 ones and 1 two in the following format: firstly, print one integer m (m≤n+5) — the number of operations; next print m pairs of integers x and y (1≤x,y≤n; x≠y) (x may be greater or less than y) — the indices of the corresponding operation. It can be proven that for the given constraints it's always possible to find a correct sequence…I'm stuck on this question and I don't know how I should be approaching this. What should I do? Question: ------------------ Solving the N-Queens Problem Main Function Create a one-dimensional array of size n and seed it with -1 values. This represents an empty n x n chess board. Develop the problem with n=4, test the solution up to n=24. Note that the array index represents the row, and array value the column. Print Function Print the array where all -1 values are empty spots on the board and all values not equal to -1 represent the position of a queen. isSafePosition Test if a specific row/col position is safe for a queen relative to all previous rows (row-1). If placing a queen into this specific row/col position would be dangerous return false, else return true. Solve Use backtracking to provide a solution for the current board size. This is a recursive function which repeatedly tests different queen layouts until it ultimately finds a working solution. Your…Given an array of 5-DWORD elements with values: 10,3,9,8,2 copy the values from last to first to a second 5-DWORD-element array Note 1: Use the loop as well as push and pop instructions Note 2: Use the LENGTHOF operator to get the number of elements of the array Note 3: Your algorithm should work for any array irrespective of its size with minimal mod- ificationsCalculating the Minimum Sum Path in a Triangle (LeetCode Problem)Given a triangle array, return the minimum path sum from top to bottom. For each step, you may move toan adjacent number of the row below. More formally, if you are on index i on the current row, you maymove to either index i or index i + 1 on the next row. public static int minSumPathMemo(int[][] triangle)This method will calculate the minimum sum path in the triangle using the top down strategy. Note thismethod MUST BE recursive and you will need to create a recursive helper method. public static int minSumPathBottomUp(int[][] triangle)This method will calculate the minimum sum path in the triangle using the bottom up strategy. Note thismethod CANNOT be recursive and you should not create any additional helper functions. Extra Challenge: Could you do this using only O(n) extra space where n is the total number of rows in thetriangle? This is method signature class below: package dynamic; public class MinSumPath {…SEE MORE QUESTIONS