The following iterative sequence is defined for the set of positive integers: Sn/2 if n is even = "n 3n +1 ifnis odd Using the rule above and starting with 13, we generate the following sequence: 13 u13 = 40 40 = 20 → U20 = 10 → U10 = 5 → U5 = 16→U16 =8us 4- u =2 u2 =1. It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. The below function takes as input an integer n and returns the number of terms generated by the sequence starting at n. function i-Seq(n) %3D %3D %3D %3D u-n3; i%-1%3B while u -1 if statement 1 u-u/2%3B else statement 2 end i=i+1; end statement l and statement 2 should be replaced by: statement 1 is 'mod(n,2)=D3D0 and statement 2 is "u 3*n+1," O None of the choices. statement 1 is 'u%2 and statement 2 is 'u = 3*u+1," O statement 1 is mod(u.2)==0 and statement 2 is U= 3*u+1,

The following iterative sequence is defined for the set of positive integers: Sn/2 if n is even = "n 3n +1 ifnis odd Using the rule above and starting with 13, we generate the following sequence: 13 u13 = 40 40 = 20 → U20 = 10 → U10 = 5 → U5 = 16→U16 =8us 4- u =2 u2 =1. It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. The below function takes as input an integer n and returns the number of terms generated by the sequence starting at n. function i-Seq(n) %3D %3D %3D %3D u-n3; i%-1%3B while u -1 if statement 1 u-u/2%3B else statement 2 end i=i+1; end statement l and statement 2 should be replaced by: statement 1 is 'mod(n,2)=D3D0 and statement 2 is "u 3n+1," O None of the choices. statement 1 is 'u%2 and statement 2 is 'u = 3u+1," O statement 1 is mod(u.2)==0 and statement 2 is U= 3*u+1,

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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A decreasing sequence of numbers is a sequence of integers where every integer in the sequence is smaller than all other previous integers in that sequence. For example, •35, 16, 7, 2, 0, -3, -9 is a decreasing sequence of numbers. The length of this sequence is 7 (total numbers in the sequence) and the difference of this sequence is 35 - (-9) -44. • 5 is a decreasing sequence of numbers with length 1 and difference 5-5 = 0 •99,-99 is a decreasing sequence of numbers with length 2 and difference 99-(-99) = 198 •17, 23, 11, 8, -5, -3 is not a decreasing sequence of %3D numbers. Write a program that contains a main() function. The main function repeatedly asks the user to enter an integer if the previously entered integers form a decreasing sequence of numbers. This process stops as soon as the latest user input breaks the decreasing sequence. Then your function should print the length and difference of the decreasing sequence. Finally, call the main() function such that the call will be…
A spell checker in a word processing program makes suggestions when it finds a word not in the dictionary. To determine what words to suggest, it tries to find similar words. One measure of word similarity is the Levenshtein distance, which measures the number of substitutions, additions, or deletions that are required to change one word into another. For example, the words spit and spot are a distance of 1 apart; changing spit to spot requires one substitution (i for o). Likewise, spit is distance 1 from pit since the change requires one deletion (the s). The word spite is also distance 1 from spit since it requires one addition (the e). The word soot is distance 2 from spit since two substitutions would be required. a. Create a graph using words as vertices, and edges connecting words with a Levenshtein distance of 1. Use the misspelled word “moke” as the center, and try to find at least 10 connected dictionary words. How might a spell checker use this graph? b. Improve the method…
TM M = (Q, E, I, 6, 90, 9a, qr), where Q = {90, 91, 92, 9a, 9r}, Σ = {0, 1}, r = {0, 1, L}, and 8 is: 8(qo, U) = (qr, U, R) 8(90, 0) = 8(go, 1) (91, 0, R) (qo, 1, R) = 8(g1, L) = (ga, U, R) 8(91,0) = (91, 0, R) 8(91, 1) = (92, 1, R) = (92, U, R) 8(92, U) 8(92, 0) = (90, 0, R) 8(92, 1) = (92, 1, R) i. Prove that M is NOT a decider. ii. Mathematically describe the language A that M recognises. Prove that A ≤ L(M). iii. Prove A = L(M). iv. Is A Turing-decidable? [Give clear reasons for your answer. No need for a formal proof.]
Given L = {w = {a, b}*: |w| is even}, the correct statements are: (aa U ab Uba U bb)* is a regular expression that generates L. (ab Uba)* is a regular expression that generates L. aa U ab U ba U bb is a regular expression that generates L. ab U ba is a regular expression that generates L.
C Language From a list of bid bonds, find out whether the bonds can be equally divided between 2 people with same value. Output explanation: ➢ Sample 1 yes: sum 2,782,351,934, 1 st person: {10022120, 2343520822, 428808992}, 2nd person: {2779943396, 2408538} ➢ Sample 2 no, there’s no possibility to equally divide the bid bonds. Questions: a. Design your algorithm in a pseudocode! (PS: use dynamic programming algorithm) b. Do analysis for your algorithm resulting in an asymptotic notation! (PS: the bid bond value can be quite large in trillion (1012)) c. Prove that your algorithm is correct and create your own input / output for 4 cases, and minimum number of bid bonds for each case is 20!
Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × A
le.com/forms/d/e/1FAlpQLSc6PlhZGOLJ4LOHo5cCGEf9HDChfQ-tT1bES-BKgkKu44eEnw/formResponse The following iterative sequence is defined for the set of positive integers: Sn/2 3n +1 ifn is odd if n is even Un = Using the rule above and starting with 13, we generate the following sequence: 13 u13 = 40 u40 =20 u20 = 10→ u10 =5 u5 = 16 u16 = 8 ug = 4 → Us =2 u2 =1. It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. The below function takes as input an integer n and returns the number of terms generated by the sequence starting at n. function i-Seq (n) u=n; i=%3; while u =1 if statement 1 u=u/2; else statement 2 end i=i+1; end statement 1 and statement 2 should be replaced by: None of the choices statement 1 is "mod(u,2)=D%3D0" and statement 2 is "u = 3*u+1;" statement 1 is "u%2" and statement 2 is "u = 3*u+1;" O statement 1 is "mod(n,2)=30" and statement 2 is "u = 3*n+1;"
Ex: Let A1 ={x, y}, A2 ={1, 2}, and A3 ={a, b}, Find A1 × A2, (A1 × A2) × A3, A1 × A2 × A3.
IN JAVA Alice and Bob are playing a board game with a deck of nine cards. For each digit between 1 to 9, there is one card with that digit on it. Alice and Bob each draw two cards after shuffling the cards, and see the digits on their own cards without revealing the digits to each other. Then Alice gives her two cards to Bob. Bob sees the digits on Alice’s cards and lays all the four cards on the table in increasing order by the digits. Cards are laid facing down. Bob tells Alice the positions of her two cards. The goal of Alice is to guess the digits on Bob’s two cards. Can Alice uniquely determine these two digits and guess them correctly? Input The input has two integers p,q (1≤p<q≤9) on the first line, giving the digits on Alice’s cards. The next line has a string containing two ‘A’s and two ‘B’s, giving the positions of Alice’s and Bob’s cards on the table. It is guaranteed that Bob correctly sorts the cards and gives the correct positions of Alice’s cards. Output If Alice can…
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