You are given 4 items as {ralue, weightpairs in this format ({20,5}, (60, 20}, (25, 10}, (X, 25}}You can assume that the array is sorted based on the ratio. The capacity of knapsack is 50. The item no. 4 (whose weightis 25 ) is taken fractionally to fill upto the knapsack capacity. That fraction is represented in format. What is the lowest possible value of 6? For the question above, assume the total value stored in the knapsack is 135 after you have filed upto the knapsack capacity What is the value of Xin other words, the vad the item no. 4) ? ive your answer to at leasttwo decimal places
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- Given an array as follows5 4 9 10 2 8 1 3 7 6 Suppose we partition this array using quicksort's partition function and using 5 for the pivot. A) Draw the resulting array after the partition finishes.B) The following is an array which has just been partitioned by the first step of quicksort:3 0 2 4 5 8 7 6 9Give all the elements that could be the pivot? (There may be more than one possibility!) PLEASE HELP WITH PART A AND B AND SHOW WORK!!Given an array A = [10, 7, 4, 2, 1], and target = 7, return the index of the target if found, else return -1. 1. Can this problem be solved in O(logN)? 2. If so, write the implementation. Mention time and space complexity 3. If this problem cannot be solved using O(logN), what is the solution that you suggest - write the code and also mention time and space complexity.Consider the array L = 387, 690, 234 435 567 123 441 as an example. The number of components in this case is 7, the number of numbers is 3, and the radix is 10. This suggests that radix sort would require 10 bins and 3 cycles to complete the sorting. shows how the radix order is followed by the list. Each key is probably thrown into the garbage bin facing down. Each bin is turned into a key when the output to the is to be attached to the phrase: at the end of the bin.
- True or False For each statement below, indicate whether you think it is True or False For the insert function, if the array is empty, there are no comparison operations that need to be performed and you can immediately add the new element Binary search can be used on an unsorted array to significantly improve its performance from O(n) to O(1) Because the update algorithm depends on using linear search, its performance is O(1) in the worst case scenario If you search for and delete an element in an unsorted array and then shift the rest of the elements to fill the hole, the worst case performance is O(n) If you search for and delete an element in an unsorted array and then move the last element to fill the hole, the worst case performance is O(n)Given an integer array nums and an integer val, remove all occurrences of val in nums in-place. The order of the elements may be changed. Then return the number of elements in nums which are not equal to val. Consider the number of elements in nums which are not equal to val be k, to get accepted, you need to do the following things: Change the array nums such that the first k elements of nums contain the elements which are not equal to val. The remaining elements of nums are not important as well as the size of nums. Return k. Example 1: Input: nums = [3,2,2,3], val = 3 Output: 2, nums = [2,2,_,_] Explanation: Your function should return k = 2, with the first two elements of nums being 2. It does not matter what you leave beyond the returned k (hence they are underscores). Example 2: Input: nums = [0,1,2,2,3,0,4,2], val = 2 Output: 5, nums = [0,1,4,0,3,_,_,_] Explanation: Your function should return k = 5, with the first five elements of nums containing 0, 0, 1, 3, and 4.…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
- A) Starting with a dynamic array of length = 32 and numElements = 30, the length after we execute 90 insert at end operations is [answer]Group of answer choices 120 122 128 none of the above B) In each of the following cases, we start with a dynamic array of length = 128 and numElements = 64. After we execute 30 delete last operations, the number of elements isand the length isAfter we execute 32 delete last operations, the number of elements isand the length isAfter we execute 60 delete last operations, the number of elements isand the length is no hand writtenGiven two d-dimensional MBRs, E1 = (x1min, x1max; x2min, x2max; …; xdmin, xdmax) and E2 = (y1min, y1max; y2min, y2max; …; ydmin, ydmax) (note: both E1 and E2 are represented by an array in the code), please give the pseudo code to check whether or not two MBRs are intersecting with each other. If yes, please return true; otherwise, return false.Consider a hallway in a building, with N equally sized rooms, numbered 1,..., N. Several meetings are planned, which require different numbers of adjacent rooms. You are given a list of meeting requests with the number of rooms need for each. The requests are represented by the array r[1, ..., k]. For example, meeting j requires r[j] adjacent rooms. You are offered a programmatic tool, which requires n steps to partition a set of n rooms, to accommodate two meeting requests of sizes s1 and s2, where s1+s2 = N. Describe an algorithm that receives a set of meeting requests s1, s2, ..., etc., and calculates the rooms allocations in the least number of steps. Formally prove that the algorithm is correct and that the solution it provides requires the lowest cost (in computational steps). Explain your solution with a concrete example. There was a similar question, but I did not understand the answer the expert gave. It had almost no details, and I could not follow it.
- Any could help me the following question From the original array of [8 12 14 1 3 5 11 10 9 7 4 2 6 13 16 15], show what the entire array looks like after each time the partition function is called within the Quicksort algorithm. Indicate each time what the selected pivot value is for that partition.Apply Quick sort on a given sequence 7 11 14 6 9 4 3 12. What is the sequence after first phase, pivot is first element? 7 6 14 11 9 4 3 12 6 4 3 7 11 9 14 12 6 3 4 7 9 14 11 12 7 6 4 3 9 14 11 12 Quick sort follows Divide-and-Conquer strategy. True False Assume you have the array 7,9,6,10,3,5,8. What will the array look like after we call build-min-heap on the entire array? 3, 7, 5, 10, 9, 8, 6 3, 5, 6, 7, 8, 9, 10 3, 7, 5, 10, 9, 6, 8 10, 9, 8, 7, 6, 5, 3 3, 5, 7, 10, 9, 6, 8 Assume you have the following array: 30, 50, 20, 80, 10, 90, 100. Assume you were to select the quicksort pivot as the middle element of the array. What are the two sub-arrays to be sorted that result after one iteration of quicksort? 30, 50, 20, 10 | 90, 100 10, 20, 30, 50 | 90, 100 30, 50, 20, 10 | 100, 90 30, 20, 50, 10 | 100, 9I'm having issue understanding how to go on with this question. Q1. If the array size n is fixed, what does a worst-case input array (resulting in the maximum totalnumber of key comparisons) look like?Q2. If the array size n is fixed, what does a best-case input array (resulting in the minimum total numberof key comparisons) look like?In particular, set n = 15. Run your program by creating a worst-case input array and a best-case inputarray. For each case, include the following in the “README” file.•Take a screenshot of your program’s output; Draw the BST after all 15 keys are inserted.Write your answers to Q1 and Q2 for general n as part of the summary of your testing results in the this is my code for it class BST{ class Node { int key; Node left, right; public Node(int item) { key = item; left = right = null; } } // Root of BST Node root; int count=0; // Constructor BST() { root = null;…