For any [x] EZ/n and any kEZ, we can define k[x] by k[x] = [x] + [x] + ... + [x] k times where the result is an element of Z/n. We say k[x] is a multiple of [x]. (a) List all the multiples of [3] in Z/9. (Select all that apply.) [0] [1] [2] [3] [4] [5] ☐ [6] [7] [8] (b) List all the multiples of [3] in Z/8. (Select all that apply.) ☐ [0] □ [1] [2] [3] [4] [5] [6] [7]

For any [x] EZ/n and any kEZ, we can define k[x] by k[x] = [x] + [x] + ... + [x] k times where the result is an element of Z/n. We say k[x] is a multiple of [x]. (a) List all the multiples of [3] in Z/9. (Select all that apply.) [0] [1] [2] [3] [4] [5] ☐ [6] [7] [8] (b) List all the multiples of [3] in Z/8. (Select all that apply.) ☐ [0] □ [1] [2] [3] [4] [5] [6] [7]

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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You are given a string X of length n and another string Y of length m ≤n. Say,the indexes p1, p2, p3, p4 and q1, q2, q3, q4 form two sub-sequences, i.e., 0 ≤ p1 < p2 < p3 < p4 < nand 0 ≤q1 < q2 < q3 < q4 < n; then, they are non-overlapping if p4 < q1.The task is to count the maximum number of non-overlapping sub-sequences of X that are thesame as Y . Thus, if X = GAXTYAWBGTAUGBTABGRGTAXB and Y = GTAB, then the answer is3 as shown by the red fonts. We cannot select the underlined GTAB as it overlaps with a red GTAB(i.e., among overlapping sub-sequences, you can select only one of them).Describe an O(m + n) time algorithm to obtain the count. Write a pseudo-code.
List the elements of set A = {x:x є N, 2<x<9} where N= {1, 2, 3, ...}
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illustrates the procedure for Fibonacci search. Here n, thenumber of data elements is such that: i) Fk+1 > (n+1); andii) Fk + m = (n +1) for some m ≥ 0, where Fk+1 and Fk are two consecutiveFibonacci numbers.
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