Question A: Mapping. The two-sum problem is a popular algorithm problem. Given an array of integers and an integer target, return indices of the two numbers such that they add up to the target. You may assume that each input would have exactly one solution, and you may not use the same element twice. For example, suppose we have an array arr = [1,10,100]. If the target is 11, you should return [0,1] because arr[0] + arr[1] = 1+ 10 = 11. If the target is 101, you should return [0,2] because arr[0] + arr[2] = 1+ 100 = 101. Complete this problem in O(n). Hint: using a hash table.
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- Given two arrays a and b, where both arrays consisting of n positive integers. It is allowed to swap any element from array a with any element from b. Your task is to find the maximum possible sum you can obtain in the array a if you can do no more than (i.e. at most) k moves (swaps). Input • The first line of the test case contains two integers n and k (1Sns30;0sksn) - where n is the number of elements in a and b, while k is the maximum number of moves you can do. • The second line of the test case contains n integers a1,a2,... an • The third line of the test case contains n integers b1,b2,..,bn Output Print the answer – the maximum possible sum you can obtain in the array a if you can do no more than (i.e. at most) k swaps. Examples: Ex 1: Ex 2: Ex 3: Input 55 53 40 55665 1234 5 2243 12543 10 9 10 10 9 2423 Output: 27 39 11 • In the first test case of the example, you don't need to swap anything. • In the second test case of the example, you can swap a1=1 with bi=10, a3=3 with b3=10…can you solve this please ? Given an array of unsorted integers, you are requested to investigate whether there exist a pair of numbers in this array that has a sum equal to a given key or not. For example, if the arr = [8, 7, 2, 5, 3] and the key = 12, the answer will be "Yes" as the array has a pair (7 and 5) where their sum = 12 = key, otherwise "No" is returned. To solve this problem, the following idea can be used: i. Consider every pair in the given array and check if their sum = key. ii. Sort the array first, keeping two pointers to on the minimum and maximum of the array and then move from both directions toward the center of the array while checking whether the sum = key or not. Answer the following questions: a) Transform each of the above ideas (i) & (ii) into algorithm (pseudocode) and compute their complexities b) Critic these two ideas: [Which is better? Why?] c) Design a better solution with less complexity. [note: your idea should be…You are a movie theater manager. You are given a two-dimensional array with 6 rows and 6 columns - 36 elements with O value, that represent empty theater seats. All 36 tickets for session were sold, so you need to identify all of the seats with value 1. Write a program that replaces all O values in the given array, by 1 and outputs the resulting matrix. Use nested for-loops to iterate over two-dimensional matrix.
- Given two arrays a and b, where both arrays consisting of n positive integers. It is allowed to swap any element from array a with any element from b. Your task is to find the maximum possible sum you can obtain in the array a if you can do no more than (i.e. at most) k moves (swaps). Input • The first line of the test case contains two integers n and k (1sns30;0sksn) - where n is the number of elements in a and b, while k is the maximum number of moves you can do. • The second line of the test case contains n integers a1,a2,... an • The third line of the test case contains n integers b1,b2,..,bn Output Print the answer – the maximum possible sum you can obtain in the array a if you can do no more than (i.e. at most) k swaps. Examples: Ex 1: Ex 2: Ex 3: Input 55 53 40 55665 12345 2243 12543 10 9 10 10 9 2423 Output: 27 39 11 • In the first test case of the example, you don't need to swap anything. • In the second test case of the example, you can swap a1=1 with b1=10, a3=3 with b3=10…You have been given an array A of size N and an integer K. This array consists of N integers ranging from 1 to 10^7. Each element in this array is said to have a Special Weight. The special weight of an element a[i] is a[i]%K. You now need to sort this array in Non-Increasing order of the weight of each element, i.e the element with the highest weight should appear first, then the element with the second highest weight and so on. In case two elements have the same weight, the one with the lower value should appear in the output first. Input Format: The first line consists of two space separated integers N and K. The next line consists of N space separated integers denoting the elements of array A. Output Format: Print N space separated integers denoting the elements of the array in the order in which they are required. Constraints: 1≤N≤10^5 1≤A[i]≤10^7 1≤K≤10^7 Note: You need to print the value of each element and not their weight. SAMPLE INPUT 5 21 2 3 4 5 SAMPLE OUTPUT 1 3 5 2 4…Given an array with n objects colored red,white or blue, sort them so that objects of the same colorare adjacent, with the colors in the order red, white and blue. Here, we will use the integers 0, 1, and 2 to representthe color red, white, and blue respectively. Note:You are not suppose to use the library's sort function for this problem.""".
- You are given an integer array X[1, . . . , n]. You should move each element of X[1, . . . , n] into one of the two arrays A and B such that A and B are non-empty and average(A) = average(B). Return true if it is possible to achieve that and false otherwise. Note that for an array A, average(A) is the sum of all the elements of A over the length of A. Precisely define the subproblem.Provide the recurrence equation.Describe the algorithm in pseudocode to compute the optimal value.Describe the algorithm in pseudocode to print out an optimal solution.Given two arrays a and b, where both arrays consisting of n positive integers. It is allowed to swap any element from array a with any element from b. Your task is to find the maximum possible sum you can obtain in the array a if you can do no more than (Le. at most) k moves (swaps). Input • The first line of the test case contains two integers n and k (1Given two arrays A and B of equal size N, the task is to find a vector containing only those elements which belong to exactly one array - either A or B - but not both. That is, if some element x appears in both A and B it should not be included in the output vector. Complete the implementation of "getVector(vector<ll>A, vector<ll>B, int N)" function. Example: Input: 1 3 5 7 1 3 2 4 6 7 8 Output: 3 5 1 3 2 4 6 8 The driver codes are attached in the images below. DO NOT CHANGE THE PROVIDED DRIVER CODES AT ALL, LEAVE THEM EXACTLY THE SAME. ONLY ADD CODE TO THE "getVector(vector<ll>A, vector<ll>B, int N)" FUNCTIONThe insertion sort was discussed and the implementation was demonstrated in the sorting lecture. In this assignment, you are asked to re-implement the insertion sort (InsertionSort.java),with additional requirements. Particularly, you need to show:1. For each iteration, how a number from a unsorted region is placed in the correctionposion in the sorted region;2. How to make the whole array be sorted based on the previous step, and count the totalnumber of shifts during the whole insertion sort process.2 Details of the ProgramTo complete the whole implementation, you should write at least the following importantmethods:2.1 Part1: insertLast/**A method to make an almost sorted array into fully sorted.@param arr: an array of integers, with all the numbers are sortedexcepted the last one@param size: the number of elements in an array*/public static void insertLast(int[] arr, int size){// your work}To make it concrete, let’s use the example shown in Figure 1. In this example, the…Given an array of integers of even length, your task is to split it into two arrays of equal length such that all the numbers are unique in each of them.There may be more than one possible answer, in which case you may return any of them. If there are no possible answers, return an empty array. Hint: Count the number of occurrences of each integer in a. If there are integers occurring more than twice, then there is no solution. Next, put the integers occurring twice into both answer arrays. Finally, put all other numbers in the answer arrays, following the condition that they should have equal sizes. Example For a = [2, 1, 2, 3, 3, 4], the output can be divideArray(a) = [[2, 1, 3], [2, 3, 4]]. Answers like [[1, 2, 3], [2, 3, 4]] or [[4, 2, 3], [3, 2, 1]] would also be considered correct. For a = [1, 2, 2, 1], the output can be divideArray(a) = [[1, 2], [2, 1]]. Again, there are other possible answers. For a = [2, 2, 3, 3, 2, 2], the output should be divideArray(a) = []. No matter how…Given two arrays A and B of equal size N, the task is to find if given arrays are equal or not. Two arrays are said to be equal if both of them contain same set of elements, arrangements (or permutation) of elements may be different though.Note : If there are repetitions, then counts of repeated elements must also be same for two array to be equal. Example 1: Input: N = 5 A[] = {1,2,5,4,0} B[] = {2,4,5,0,1} Output: 1.SEE MORE QUESTIONS