Given an array of integers, return a new array such that each element at index i of the new array is the product of all the numbers in the original array except the one at i.
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![Given an array of integers, return a new array such that each element at index i of
the new array is the product of all the numbers in the original array except the one
at i.
For example, if our input was [1, 2, 3, 4, 51, the expected output would be [120,
60, 40, 30, 24]. If our input was [3, 2, 11, the expected output would be [2,
3,
6].
Follow-up: What if you can't use division?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b53557d-54dd-4da5-88b8-37e6bca24062%2Ff9a6b55c-4a9c-43ef-865f-bd412836765e%2Fwwwio7_processed.jpeg&w=3840&q=75)
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- Given an array A[0 : n−1] of n integers, compute the maximum sum of non-empty consecutive subsequence present in the array. For example, if the input is A = [3, 2, 5, 1, 6], then the output max sum is 17 (the corresponding maximum sum consecutive subsequence is [3, 2, 5, 1, 6]. If the input is A = [−2, 11, −4, 13, −5, −2], then the output max sum is 20 (the corresponding maximum sum consecutive subsequence is [11, −4, 13]. (a) Given input A[0 : n − 1] and n, design a divide-and-conquer algorithm which outputs the maximum sum of non-empty consecutive subsequence in the array. You only need to output the sum value and do not need to output the exact subsequence. [We are expecting a brief justification for the intuitive idea of the algorithm and the pseudocode of the algorithm.] (b) Let T(n) be the runtime of your algorithm when the input size is n. Establish the recurrence relation of T(n) for the algorithm, and then solve the recurrence relation to provide the big-O runtime of the…Given an array A[0 : n−1] of n integers, compute the maximum sum of non-empty consecutive subsequence present in the array.For example, if the input is A = [3, 2, 5, 1, 6], then the output max sum is 17 (the corresponding maximum sum consecutive subsequence is [3, 2, 5, 1, 6]. If the input is A = [−2, 11, −4, 13, −5, −2], then the output max sum is 20 (the corresponding maximum sum consecutive subsequence is [11, −4, 13].(a) Given input A[0 : n − 1] and n, design a divide-and-conquer algorithm which outputs the maximum sum of non-empty consecutive subsequence in the array. You only need to output the sum value and do not need to output the exact subsequence. [We are expecting a brief justification for the intuitive idea of the algorithm and the pseudocode of the algorithm.](b) Let T(n) be the runtime of your algorithm when the input size is n. Establish the recurrence relation of T(n) for your algorithm, and then solve the recurrence relation to provide the big-O runtime of your…Given an array, find the total number of inversions of it. If (i < j) and (A[i] > A[j]), then pair (i, j) is called an inversion of an array A. We need to count all such pairs in the array. For example, Input: A[] = [1, 9, 6, 4, 5] Output: The inversion count is 5 There are 5 inversions in the array: (9, 6), (9, 4), (9, 5), (6, 4), (6, 5)
- Given an integer n and an array a of length n, your task is to apply the following mutation to a: Array a mutates into a new array b of length n. For each i from 0 to n - 1, b[i] = a[i - 1] + a[i] + a[i + 1]. If some element in the sum a[i - 1] + a[i] + a[i + 1] does not exist, it should be set to 0. For example, b[0] should be equal to 0 + a[0] + a[1].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.Consider an array A of N values (N entered by the user). Write a C program that creates a second array B such that the i-th element of B, i.e., B[i] is equal to A[0] *A[1] * A[2] * ... A[i]; In other words:- B[0] = A[0]- B[1] = A[0] * A[1];- B[2] = A[0] * A[1] * A[2];- B[3] = A[0] * A[1] * A[2] * A[3]- ....etc.For this exercise, we would like to implement two solutions and compare their complexity /performance in terms of computation time.Solution 1: Implement blindly the following algorithms: for each element B[i], compute A[0] *A[1] * A[2] * .... *A[i] and save the result in B[i];To test the solution, create an array A of 1000 elements and initialize each of its elements with arandom value (instead of asking the user to . To do that, use the function rand, which, every timecalled, returns a random number Questions:- How long does your program take to produce the solution?- Analyze the solution above and explain why it is taking long time. What are the mainfactors that affect how long…
- You have an array of n real numbers and another integer s. Find out whether the array contains two elements whose sum is s. (For example, for the array 5, 9, 1, 3 and s = 6, the answer is yes, but for the same array and s = 7, the answer is no.) Design an algorithm for this problem with a better than quadratic time efficiency.Given an array of intervals where intervals[i] = [starti, endi], merge all overlapping intervals, and return an array of the non-overlapping intervals that cover all the intervals in the input. Example 1: Input: intervals = [[1,3],[2,6],[8,10],[15,18]] Output: [[1,6],[8,10],[15,18]] Explanation: Since intervals [1,3] and [2,6] overlap, merge them into [1,6]. Example 2: Input: intervals = [[1,4],[4,5]] Output: [[1,5]] Explanation: Intervals [1,4] and [4,5] are considered overlapping. Solve it in Java Language pleaseWrite a JAVA program to find the unique element which is present only once in the given array. All the remaining elements are repeated twice in the array. int []a = {2, 14, 6, 22, 2, 34, 22, 8, 6, 14, 8}; Use constant space and linear time.
- Write a function that gets an array of ints of length n, and a number k, and returns the longest subsequence of consecutive k’s in the array. For example - On input ([1, 1, 3, 3, 3, 1, 5, 1], 1), the function returns 3 - On input ([1, 3, 3, 2, 3, 3, 3, 3], 3), the function returns 4 - On input ([3, 5, 2, 5, 2, 5, 5], 3), the function returns 2 - On input ([1, 2, 3, 3, 3, 3], 5), the function returns 0 // returns the length of the longest subsequence // of consecutive k’s in the array int longest_seq(const int* ar, int n, int k); test for the function: void test_q1() { inta1[] = {1, 1, 3, 3, 3, 1, 5, 1}; if (longest_seq(a1, 8, 1) == 2) printf("Q1-1 ok\n"); else printf("Q1-1 ERROR\n"); inta2[] = {1,3,3,2,3,3,3,3}; if (longest_seq(a2, 8, 3) == 4) printf("Q1-2 ok\n"); else printf("Q1-2 ERROR\n"); }Write a program that reads an array A of N elements containing only 0's and 1's. Your program should find the position of a 0 and replace it with a 1 to get the longest continuous sequence of 1's. Let this position of 0 be called P. Print P if such a 0 exists and print -1 if the original array A contains only 1's. Assume the array indexing starts from 0.Given an integer array [A], efficiently find a descending sorted triplet such that: A[i]> A[i]> A[k] and 0 <=i<j <k <n, where n is the array size. For example, Input: A[] = {9, 1, 6, 7, 3, 4, 5) Output: Any one of the following triplets: (9, 7,5) (9, 7, 4) (9, 7, 3) (9, 6, 5) (9, 6, 4) (9, 6, 3) a) Design a brute-force algorithm to solve this problem complexity of your solution b) Design a more efficient algorithm to do the same task with less complexity and analyse the complexity of your solution. c) Develop a python code to implement your efficient algorithm. depend on the correctness of the code, indentation, comments, test-case] d) Prepare a brief report (250 words) comparing the two algorithms
