Consider a variation of the Bucket Sort algorithm which uses an unknown number of buckets. We're given that the worst-caseruntime of the algorithm is O(n.), Let the number of buckets be n* (n to the power of x). Fill in the following box with the propernumeric value of x such that the algorithm has the given runtime. For example, you could fill in 0, 1, 2, 3, 3.14 4.2, etc.Recall that we use Insertion Sort to sort each bucket.Answer:

Below i Have determined x value:

Answered: Consider a variation of the Bucket Sort…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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... Array A contains positive numbers that can be smaller than 1, larger than 1, or equal to 1. Find the sub-array A[..], such that the product of numbers in A[i..j] (i.e., A[i] × A[i+1] x x A[j - 1] x A[j]) is maximized. Of course, you should describe the fastest algorithm that you can find. A product of two numbers can be computed in time 0(1). Describe your algorithm in words, provide a pseudocode and briefly explain why your algo- rithm is correct.
Write a Java code
There are m towns in a straight line, with a road joining each pair of consecutive towns. Legends say that an ordinary person in one of these towns will become a hero by completing a sequence of n quests. The first quest will be completed in their home town, but after each quest they may complete their next quest either in the same town or after moving to a neighbouring town.For example, if n = 5 and m = 4, a resident of town 2 may become a hero as follows:• begin in town 2 for quest 1,• then move to town 3 for quest 2,• stay in town 3 for quest 3,• return to town 2 for quest 4, and• move to town 1 for quest 5.Design an algorithm which runs in O(nm) time and finds the total number of waysto complete n quests.
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].
Let A be an array of size n storing positive integers. Write an algorithm(pseudo code) that takes array A and replaced each unique element of A by-1. For example, if A=(5,20,41,5,35,6,6) then after you run the algorithm, A=(5,-1,-1,5,-1,6,6). Compute time complexity of your algorithm.
Java Programming language Chef recorded a video explaining his favorite recipe. However, the size of the video is too large to upload on the internet. He wants to compress the video so that it has the minimum size possible. Chef's video has N frames initially. The value of the ith frame is A₂. Chef can do the following type of operation any number of times: Choose an index i (1 ≤ i ≤ N) such that the value of the ith frame is equal to the value of either of its neighbors and remove the ith frame. Find the minimum number of frames Chef can achieve. Input 1 2 11 output 1
Hi, could you create an algorithm using psuedocode for this problem: Consider a problem in which you have a set of n keys and n locks. Every key corresponds to exactlyone lock, and every lock corresponds to exactly one key (this correspondence means that all items areunique, no duplicate keys or locks are present). Create an algorithm that efficiently (less than O(n2) time)pairs up every lock with its corresponding key. By fitting a lock and key together, you can see if fit iscorrect (the single match), if the lock is too small for the key, or if the lock is too large for the key. Aspart of this algorithm, you cannot compare lock A to lock B, nor key A to key B (no direct comparisonbetween members of the same set).
Given an array of integers and a positive integer k, find the maximum sum of any contiguous subarray of size k. For example, given the array [1, 2, 3, 4, 5] and k = 2, the maximum sum is 7, which is the sum of the subarray [4, 5] Please solve in C# language ..

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