
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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- Let A be an array of size n >= 6 containing integers from 1 to n-5, inclusive, with exactly five repeated. Describe an efficient algorithm for finding the five integers in A that are repeated. Provide pseudocode for the algorithm. Provide the correctness proof. State and justify time and space complexity.arrow_forwardThere’s a length n (n ≥ 3) array and we’d like to fill in each element of the array with an integer.The integers should be in {1, 2, . . . , k} and any 3 adjacency entries cannot have the same number. Given nand k , design a polynomial time algorithm to compute the number of ways to fill this array. Please alsojustify the correctness and the time complexity of your answers.arrow_forwardA Queen on a chessboard can attack any piece in the same column, row or diagonal. The N-Queens problem is to place n queens on an x n chessboard such that no two queens threaten each other. a) Implement a one-dimensional integer array of Queen positions for an 8x8 board where indices represent rows and the values represent columns. For example, a "safe" solution would be (3,6,2, 7, 1, 4, 0,5} b) Implement a print function to display the board (see output example) c) Implement an isSafe function that: 1) Returns false if multiple queens share a column 2) Returns false if multiple queens share a diagonal 3) Returns true if all queens are safe d) Program should display if the Queens are safe or not safe. Example Output Testing: 1 4 2 3 5 7 60 Queens are not safe!arrow_forward
- Suppose you have m sorted arrays, each with n elements, and you want to combine them into a single sorted array with mn elements. 1. If you do this by merging the first two arrays, next with the third, then with the fourth, until in the end with the last one. What is the time complexity of this algorithm, in terms of m and n? 2. Give a more efficient solution to this problem, using divide-and-conquer. What is the running time?arrow_forwardSort the ArrayList of the student objects into ascending order of the students’ numbers (IDs),and output the sorted array - implement an appropriate sorting algorithm for this, and explainwhy such algorithm is selected (in internal and external documentation). how do I come up with an algorithm to sort the array in an ascending order?arrow_forwardWrite a program to find the maximum sum of 7-Item-SubArray-Pair in given 2D-Array.For example, in the following 2D-Array, the maximum sum of 7-Item-SubArray-Pair is highlighted withred selected area, which is the same like this pattern and maximum/largest sum of this selected redarea is 19. Problem Explanation:The naive solution for this problem is to check every possible 7-Item-SubArray-Pair-Pattern in the given2D-Array. Actually there are many pattern of 7-Item-SubArray-Pair in the given 2D-Array.Maximum sum of 7-Item-Pair should be from 3x3 Sub-Array of the given 2D-Array. Total 16 pair of 3x3Sub-Array is following below:arrow_forward
- 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.arrow_forwardNow let's examine a Dynamic Program algorithm to solve this problem. 3.3 Let's say we have an array of length X+1. How would we define array[x]? or What is array[x] defined for?arrow_forwardEerrdddarrow_forward
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