Consider the following algorithm: Input: Array A and B both with n integers. Output: Array C with n integers such that C[j] is the maximum of A[j] and B[j] for all 1< j< n. Swap (A, B) 1. C is a new array with n integers with value 0. 2. C[1] = max{A[1], B[1]} 3. for i = 2 to n %3D 4. if A[i] > B[i] then Ci] = A[i] else C[i] = B[i] 7. return A 5. 6. a Prove a tight upper bound on the running time of Swap in terms of O.

Given an array arr[] of N non-negative integers representing the height of blocks. If width of each block is 1, compute how much water can be trapped between the blocks during the rainy season. Example 1: Input: N = 6 arr[] Output: 10 = {3,0,0,2,0,4}

Given n arrays, each array contain n positive integers. Write an O (n2 log n) algorithm to find the smallest n sums out of nn possible sums that can be obtained by picking one positive integer from each of n arrays. For example, given three arrays as follows: [5, 1, 8], [5, 2,9], and [6,7, 10]. The smallest n sums of the given array is [9, 10, 12].

Java: Consider the following algorithm for searching in an unsorted array. If the size of the array is 1, then check if it contains the element to be searched. Otherwise, divide the array into two halves, and recursively search both halves. Which of (a)–(c) is false? The running time of this algorithm is O(N) The actual running time of this algorithm is likely to be better than sequential search. This is an example of a divide‐and‐conquer algorithm all of the above are true none of the above is true

The algorithm below searches for the maximum in an input array A. Assume A is a random sequence containing n distinguishable real numbers, what is the probability for line #4 to be executed exactly once? (The phrase "random sequence" here means the n numbers can appear in any order with equal chance.) mymax(A, n) { 1: max = A[1]; 2: for i = 2:n 3: if A[i]> max 4: max = A[i); 5: end; 6: end; 7: return max; }

A majority element is an element that makes up more than half of the items inan array. Given a positive integers array, find the majority element. If there is no majority element,return -1. Do this in O(N) time and 0(1) space.Input: 1 2 5 9 5 9 5 5 5Output: 5

15. Consider the problem of finding the first position in which an array b occurs as a subsequence of an array a. Write two nested loops: let result undefined for (let i = 0; i < a.length - b.length; i++) { for (let j = 0; j < b.length; j++) { if (a[i+j] = b[j]) . . . } } Complete with labeled break and continue statements.

you are given integers A = [a0, a1, a2, · · · an], where a are integers. We want to determine the largest sum of a portion of consecutive values in the array. array A = [3, 13, −20, 9, −3, 30, 9, −70], largest sum of a portion of consecutive values is 9-3+30+9 = 45. a) you must write an iterative algorithm that can determine the largest sum of a portion of consecutive values / show the time complexity b)Write a dynamic programming-based algorithm that determines the largest sum of a portion of consecutive values/show its time complexity

do not plagiarise