وقت الامتمان ساعة واطدة فقطAhi 100Q1: Let A = {a, b}, B= {e} and C = {d.c}, find (A × B) x (B x C)?Q2: Let A = {a, b, c, d}, find (THREE) partitions of A?Q3: Given an example of two non-empty sets 4 and B such that A- B= 6and B-A= A?إضاقة ملف3 2GoogleMtansryanUriversry.ce

A={a,b} B={e} and C={d,e} Find (A×B)×(B×C) Cross product of two sets will form the ordered pairs.…

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Q1: Let A = {a, b}, B = {e} and C = {d,e}, find (A x B) x (B x C)? %3D

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) Carry out the Select algorithm on the following set, using k = 19 (return the element of rank 19). Show your steps! Ensure that you run the partition algorithm in such a way that you maintain theelements in their original relative order.56; 78; 34; 19; 67; 32; 13; 12; 90; 92; 50; 51; 30; 1; 99; 58; 43; 42; 24; 65; 21; 25; 68; 69; 101 (b) Carry out the Randomized Select algorithm from class on the set of elements from part (a), usingk = 19. Show your steps! When selecting a random pivot, suppose you always chose the last element inthe array. Ensure that you run the partition algorithm in such a way that you maintain the elements intheir original relative order
Please help. How to solve this on Java language by using only Dynamic Programming? Thank you. We are given a set A of integers. Check whether we can partition A into three subsets with equal sums. It is important to note that all elements should be included in the equally divided subsets; no element should be left out, and none of the elements should be repeated in the subsets.For example: A={4,7,6,2,10,7,10,2} has such a partition: {4,2,10}, {7,7,2},{6,10}Input: A set, A, of integersOutput: if we can partition A into three subsets with equal sums, print subsets otherwise present a suitable message.
Which of the following sets is a set partition for the universe U = { 1, 2, 3, 4 } ? 1.P = { { 2, 3, 4 }, { 1, 3, 4 } } 2.P = { { 3, 4 }, { 1, 2 } } 3.P = { { 4 }, { 1, 2 } } 4.P = { { 3, 4 }, { 1, 2, 3 } }
Say that you are given as input a collection of n integers and some values may be repeated. Give a randomized algorithm that counts the number of A[i], A[j] so that A[i] = A[j], with best expected running time. For example, if all the numbers are the same, the value is (n/2) = n(n − 1)/2 use either a skiplist or hash function, please provide only pesudo code, or an explanation of an algorithm that better explains the problem.
Implement a commonly used hash table in a program that handles collision using linear probing. Using (K mod 13) as the hash function, store the following elements in the table: {1, 5, 21, 26, 39, 14, 15, 16, 17, 18, 19, 20, 111, 145, 146}. Use c++
Given the following function, what happens if a[] contains just one element that doesn't match val? int binarySearch(int a[], int first, int last, int val){ if (first > last) return -1; int middle = (first + last) / 2; if (a[middle] == val) return middle; if (a[middle] < val) return binarySearch(a, middle+1, last, val); else return binarySearch(a, first, middle-1, val);} Group of answer choices binarySearch never calls itself again and terminates (recursion never happens) binarySearch calls itself once then terminates (recursion happens once) binarySearch calls itself twice then terminates (recursion happens twice) binarySearch calls itself 3 times then terminates (recursion happens 3 times)
Define the set U = {x ∈ Z | ∃y ∈ Z, xy = 1} = {+1, -1}. We say a number p ∈ Z \ {0} is prime if and only if p ∉ U and ∀a ∈ Z, ∀b ∈ Z, p|ab ⇒ (p|a ∨ p|b). (intuitively this says you can’t build a prime p by combining things which do not already contain p) We say a number i ∈ Z is irreducible if and only if ∀a ∈ Z, ∀b ∈ Z, i = ab ⇒ (a ∈ U ∨ b ∈ U) (intuitively this says p is irreducible if the only things which divide it are 1 and p (and -1, and -p).) Prove that if x = ab ≠ 0 and x|a then b ∈ U.
Assuming, starting from the top left, rows and columns are indexed from 0 on a chessboard, one can solve the N-queens problem, with N any positive integer, with the following pseudo code: placeQueen (row) { for(col = 0; col < N; ++col) { if board [row][col] is open { place queen in board [row][col] if(row < N) placeQueen(row+1) else done remove queen from board[row][col] } } } Is this an example of excessive recursion? Give a reason.
Problem Alice was given a number line containing every positive integer, x, where 1<=x<=n. She was also given m line segments, each having a left endpoint, l (1<=l<=n), a right endpoint, r (1<=r<=n), and an integer weight, w. Her task is to cover all numbers on the given number line using a subset of the line segments, such that the maximum weight among all the line segments in the chosen subset is minimal. In other words, let S=(l1,r1,w1),(l2,r2,w2),....,(lk,rk,wk), represent a set of k line segments chosen by Alice, max(w1,w2,...,wk) should be minimized. All numbers 1,2,....n should be covered by at least one of k the chosen line segments. It is okay for the chosen line segments to overlap. You program should output the minimized maximum weight in the chosen subset that covers all the numbers on the number line, or -1 if it is not possible to cover the number line. Input format The first line of the input contains an integer, n - denoting the range of numbers…
We are given a collection of n key-value pairs (k,m) in which k is a positive integer number in arange [0,N-1] for small enough N. Assume that we may have multiple values for the same keys.a) if m is a positive number in a range [0,M-1] for some small enough integer M, design alookup table for storing these items such that the time complexity of search, insert and deleteare constant. b) if m is an arbitrary integer number, design a lookup table for storing these itemssuch that the time complexity of search is log n.
Binary Search? When Jojo was a little kid, his teacher asked him a question. What was the answer of 1^2+2^2+3^2+...+N^2? Of course that problem was hard enough for a primary student. Buts ince he is a university student, and he knows that the answer is 1/6∗N∗(N +1)∗(2N +1), such problem is to easy for him. Now Jojo came up with a new problem. If he has an integerM, what is the smallest integer N such that 1^2 + 2^2 + 3^2+ ...+N^2 is greater than or equal to M. After thinking for some time, he came up with a solution, but his solution takes a lot of time. Since you are his nemesis, he challenges you to solve the problem quicker than him. Of course you accept his challenge! Format InputThe first line is an integer T representing the number of test cases.For each test case there will be 1 line consisting of an integerM. Format OutputFor each test case output “Case #X: N”. X is the test case number andN is the smallest integer such that 1^2 + 2^2 + 3^2+ ...+N^2is greater than or equal to…
a. Given an array containing Strings, you need to write a code to store them in a hashtable.Assume that the Strings contain a combination of capital letters and numbers, and the String array will contain no more than 11 values.Use the hash function to be the|(summation of the alphabets of the String-product of the digits)|%11, where A=10, B=11, C=12, D=13, E=14…….up to Z=35.In case of a collision, use linear probing. For a String “C11SG2”, it’s hash function will produce the value=(value of C + value of S + value of G-1*1*2 ) - (12+28+16-2)%11=10, hence it will be stored in index 10 of the hash table. Plesse ans it asap, badly needed...!