QuestionConsider the following definition of a MysteryBox object:public class MysteryBox {private final int x0, x1, x2, x3;private final double y0;private final boolean z0;private final long[] a = new long [248];}Using the 64-bit memory cost model from lecture, how many bytes does each objectof type MysteryBox consume? Include all memory referenced by the object (deep memory).AnswerYour answer should be a positive integer that is a multiple of 8. QuestionWhat is the order of growth of the worst-case running time ofthe following code fragment as a function of n?int sum = 0;for (int ifor (int j1; i <= n; i++)1; ji*i; j++)く=sum++;AnswerMark the best answer.01'log nOn^(1/2)n log nOn^(3/2)n^2n^2 log nn^(5/2)On^3On^4n^5On^6On^7

Solution 1) Given Code is, public class MysteryBox { private…

Answered: Consider the following definition of a…

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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Running Time Analysis: Give the tightest possible upper bound for the worst case running time for each of the following in terms of N. You MUST choose your answer from the following (not given in any particular order), each of which could be reused (could be the answer for more than one of a) – f)): O(N2), O(N3 log N), O(N log N), O(N), O(N2 log N), O(N5), O(2N), O(N3), O(log N), O(1), O(N4), O(NN), O(N6)
Suppose that an algorithm has runtime 20 n3 for n <= 100. For n>100, the slowest cases for each n take time 2 n2 log n. The fastest cases for each n take time 10 n2. That is, for n>100, runtime is between 10 n2 and 2 n2 log n. Which of the following are known to be true of the worst-case runtime for the algorithm? (Check all that apply, which may be more than one in a row.) O( n2 ) O( n2 log n ) O( n3 ) None of these Ω( n2 ) Ω( n2 log n ) Ω( n3 ) None of these Θ( n2 ) Θ( n2 log n ) Θ( n3 ) None of these Which of the following are known to be true of the average-case runtime? O( n2 ) O( n2 log n ) O( n3 ) None of these Ω( n2 ) Ω( n2 log n ) Ω( n3 ) None of these Θ( n2 ) Θ( n2 log n ) Θ( n3 ) None of these [Each row must have at least one answer checked.] Compose
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