P follows: Every positive integer greater than 1 can be written uniquely as a prime or as the product of two or more primes, where the prime factors are written in order of nondecreasing size. We want to use a stack to read a number and print all of its prime divisors in descending order. For example, with the integer 2100, the output should be: 1: Consider the fundamental theorem of arithmetic, which is stated as 7 5 5 3 2 2 1. Write an algorithm, called Prime_Factorization, which accepts a positive integer greater than 1, and generates its prime factorization according to the above-mentioned theorem. [Hint: The smallest divisor greater than 1 of any integer is guaranteed to be a prime.] 2. Propose a stack structure based algorithm to accommodate this prime decomposition. First, you should compute the prime factorization of an integer. Second, you need to print all corresponding prime divisors in descending order.

P follows: Every positive integer greater than 1 can be written uniquely as a prime or as the product of two or more primes, where the prime factors are written in order of nondecreasing size. We want to use a stack to read a number and print all of its prime divisors in descending order. For example, with the integer 2100, the output should be: 1: Consider the fundamental theorem of arithmetic, which is stated as 7 5 5 3 2 2 1. Write an algorithm, called Prime_Factorization, which accepts a positive integer greater than 1, and generates its prime factorization according to the above-mentioned theorem. [Hint: The smallest divisor greater than 1 of any integer is guaranteed to be a prime.] 2. Propose a stack structure based algorithm to accommodate this prime decomposition. First, you should compute the prime factorization of an integer. Second, you need to print all corresponding prime divisors in descending order.

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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Problem 2 (Stacks): Consider the fundamental theorem of arithmetic, which is stated as follows:Every positive integer greater than 1 can be written uniquely as a prime or as the product of twoor more primes, where the prime factors are written in order of nondecreasing size. We want touse a stack to read a number and print all of its prime divisors in descending order. For example,with the integer 2100, the output should be:7 5 5 3 2 21. Write an algorithm, called Prime_Factorization, which accepts a positive integer greaterthan 1, and generates its prime factorization according to the above-mentioned theorem.[Hint: The smallest divisor greater than 1 of any integer is guaranteed to be a prime.]2. Propose a stack class to accommodate this prime decomposition. It should have at leasttwo member functions: One to compute the prime factorization of an integer, and one toprint all corresponding prime divisors in descending order.3. Give an implementation of all member functions defined in…
Consider the fundamental theorem of arithmetic, which is stated as follows:Every positive integer greater than 1 can be written uniquely as a prime or as the product of twoor more primes, where the prime factors are written in order of nondecreasing size. We want touse a stack to read a number and print all of its prime divisors in descending order. For example,with the integer 2100, the output should be:7 5 5 3 2 21. Write an algorithm, called Prime_Factorization, which accepts a positive integer greaterthan 1, and generates its prime factorization according to the above-mentioned theorem.[Hint: The smallest divisor greater than 1 of any integer is guaranteed to be a prime.]2. Propose a stack class to accommodate this prime decomposition. It should have at leasttwo member functions: One to compute the prime factorization of an integer, and one toprint all corresponding prime divisors in descending order.3. Give an implementation of all member functions defined in the above stack…
Consider the following operations performed on a stack of size 5. Push(1);Pop();Push(2);Push(3);Pop();Push(4);Pop();Push(5); After the completion of all operations, the number of elements in the stack is:
Code in C One of the applications of a stack is to backtrack - that is, to retrace its steps. As an example, imagine we want to read a list of items, and each time we read a negative number we must backtrack and print the five numbers that come before the negative number and then discard the negative number. Use a stack to solve this problem. Use a stack and push them into the stack (without printing them) until a negative number is read. At this time, stop reading and pop five items from the stack and print them. If there are fewer than five items in the stack, print an error message and stop the program. After printing the five items, resume reading data and placing them in the stack. When the end of the file is detected, print the message and the items remaining in the stack. Sample Output 1 2 3 4 5 6 7 -1 7 6 5 4 3 9 6 4 3 -2 3 4 6 9 2 -3 Number of items left is less than five! Program is terminating! Project name : Backtrack Filenames: backtrack.h, backtrack.c,…
I am trying to 1) double a number that is given by a user. 2) Take that number and divided it by 10 until it no longer is divisable by 10. 3)Push each individual modula onto a stack so that the doubled number saves into the Stack from right to left. eg.(User enters 123...console should double the value to 246, and then place 6**4**2** into a stack. 6 being the topmost number) The roadblock I am getting to is that when I try to push the numbers on the stack with a while loop, it seems like push only remembers the last number that was pushed.
Imagine a stack of dishes, literally. The stack may collapse if it becomes too tall.Therefore, when the prior stack above a certain threshold in real life, we probably start a new stack. Create a data structure called SetOfStacks to resemble this. When a stack's capacity is reached, a new stack should be created and added to the SetOfStacks. SetOfStacks. SetOfStacks with push(). In other words, pop() should return the same values as it would if there were only one stack. It should operate exactly like a single stack.TAKE ACTIONCreate a function called popAt(int index) that does a pop operation on a certain substack.
A SpecialStackTM is a stack modified to support the following two operations: PUSHCLEAR(v) successively pops consecutive items from the top of the stack that are less than u, then pushes v onto the stack. POP() deletes the item at the top of the stack. Assume these operations are implemented using a singly-linked list. PUSHCLEAR(v) iter- ates through the linked list to pop the applicable items and then adds v to the beginning. POP() deletes the first item. (a) Describe the ordering of values on the stack. (b) Explain how a single call to PUSHCLEAR(V) could take (n) time. (c) If we assume that every operation takes linear time, we get a naive bound of O(n²) on the total runtime. But this doesn't consider the fact that these expensive operations happen infrequently so let's analyze it more closely. Show that any sequence of n operations takes O(n) time. -
Imagine a (literal) stack of plates. If the stack gets too high, it might topple.Therefore, in real life, we would likely start a new stack when the previous stack exceeds somethreshold. Implement a data structure SetOfStacks that mimics this. SetOfStacks should becomposed of several stacks and should create a new stack once the previous one exceeds capacity.SetOfStacks. push() and SetOfStacks. pop() should behave identically to a single stack(that is, pop () should return the same values as it would if there were just a single stack).FOLLOW UPImplement a function popAt(int index) which performs a pop operation on a specific substack.
2. Given the following stack A = { 29,18,10,15,20,9,5,13,2,4,15} Create a queue by taking the elements from the top of the stack and adding them to a queue
Given a stack, switch_pairs function takes a stack as a parameter and thatswitches successive pairs of numbers starting at the bottom of the stack.For example, if the stack initially stores these values:bottom [3, 8, 17, 9, 1, 10] topYour function should switch the first pair (3, 8),the second pair (17, 9), ...:bottom [8, 3, 9, 17, 10, 1] topif there are an odd number of values in the stack, the value at the top of thestack is not moved: For example:bottom [3, 8, 17, 9, 1] topIt would again switch pairs of values, but the value at thetop of the stack (1)would not be movedbottom [8, 3, 9, 17, 1] topNote: There are 2 solutions:first_switch_pairs: it uses a single stack as auxiliary storagesecond_switch_pairs: it uses a single queue as auxiliary storage""".
Can you explain in detail, line by line, what the attached algorithm is doing? I need further understanding. For further clarification the prompt asks the following: Write an algorithm Replace that takes a stack and two items. If the first item is in the stack, replace it with the second item, leaving the rest of the stack unchanged.
A letter means push and an asterisk means pop in the following sequence. Give the contents of s[0], ..., s[4] after the execution of this sequence of operations performed on an initially empty LIFO stack. L A * S T I * N * F I R * S T * * O U * T * * * * * *