Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 22.3, Problem 7E
Program Plan Intro
To write the DFS procedure using the stack implementation that eliminates recursion.
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Rewrite the procedure DFS (depth first search), using a stack to eliminate recursion.
How can recursion be related to stack operations?
What can we say about recursion?
It does not use the stack
Is always the most efficient
Is often the longest and complex code.
It can always be replaced with an iterative version.
Chapter 22 Solutions
Introduction to Algorithms
Ch. 22.1 - Prob. 1ECh. 22.1 - Prob. 2ECh. 22.1 - Prob. 3ECh. 22.1 - Prob. 4ECh. 22.1 - Prob. 5ECh. 22.1 - Prob. 6ECh. 22.1 - Prob. 7ECh. 22.1 - Prob. 8ECh. 22.2 - Prob. 1ECh. 22.2 - Prob. 2E
Ch. 22.2 - Prob. 3ECh. 22.2 - Prob. 4ECh. 22.2 - Prob. 5ECh. 22.2 - Prob. 6ECh. 22.2 - Prob. 7ECh. 22.2 - Prob. 8ECh. 22.2 - Prob. 9ECh. 22.3 - Prob. 1ECh. 22.3 - Prob. 2ECh. 22.3 - Prob. 3ECh. 22.3 - Prob. 4ECh. 22.3 - Prob. 5ECh. 22.3 - Prob. 6ECh. 22.3 - Prob. 7ECh. 22.3 - Prob. 8ECh. 22.3 - Prob. 9ECh. 22.3 - Prob. 10ECh. 22.3 - Prob. 11ECh. 22.3 - Prob. 12ECh. 22.3 - Prob. 13ECh. 22.4 - Prob. 1ECh. 22.4 - Prob. 2ECh. 22.4 - Prob. 3ECh. 22.4 - Prob. 4ECh. 22.4 - Prob. 5ECh. 22.5 - Prob. 1ECh. 22.5 - Prob. 2ECh. 22.5 - Prob. 3ECh. 22.5 - Prob. 4ECh. 22.5 - Prob. 5ECh. 22.5 - Prob. 6ECh. 22.5 - Prob. 7ECh. 22 - Prob. 1PCh. 22 - Prob. 2PCh. 22 - Prob. 3PCh. 22 - Prob. 4P
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- Write a recursive program to insert an element in the sorted array using stack in pyhtonarrow_forwardThe N Queen is the problem of placing N chess queens on an N×N chessboard so that no two queens attack each other. Two queens are said to attack each other if they are placed on the same row, same column or if they are diagonally placed. Given the value of ‘n’ as input, write a recursive in C++ procedure with an external stack to find all solutions to place them on a n x n board such that they do not attack each other.arrow_forwardAs recursion is implemented using a stack, an object of class Stack must be declared and initialized in the program to hold the class objects of every recursive call? a)true b) falsearrow_forward
- As recursion is implemented using a stack, an object of class Stack must be declared and initialized in the program to hold the class objects of every recursive call? 1) true 2) falsearrow_forwardFind out how the stack acts when it is allowed to function on its own and record your findings.arrow_forwardIllustrate how an activation stack is used for the following recursive method for an input of 8. a. Show the use of the activation stack to determine the result . b. What is the result?arrow_forward
- Write an algorithm for implementation of both stack and queue operations using array.arrow_forwardFor the following pseudo-code of a recursive program mod that computes a modb given a, b as inputs, trace the stack contents during the execution of the callmod (23, 7). procedure mod (a, b) if (a < b) then mod := a else { x := a − b 1 : mod( , ) 1 1 y = x b mod:= 1 y } end modarrow_forwardThere is a data structure called a drop-out stack that behaves like a stack in every respect except that if the stack size is n, when the n + 1 element is pushed, the first element is lost. Implement a drop-out stack using an array. (Hint: A circular array implementation would make sense.)arrow_forward
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