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 17.1, Problem 1E
Program Plan Intro
To decide whether it is possible to push k items onto the stack would require
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Suppose an initially empty stack, S, has performed a total of 75 push() operations, 5 peek() operations and 10 pop operations, 4 of which returned null to indicate an empty stack. What is the current size of the stack, S? (Explain your answer/Show your workings)
Given the following sequence of characters: DA&T!A ST*R&U!CT!&UR*ES. Consider the stack data structure, supporting two operations push and pop. Suppose that for the above sequence, each letter (such as DATA STRUCTURES) corresponds to a push of that letter onto the stack, each exclamation mark(!) corresponds one pop operation on the stack, each ampersand (&) corresponds one peep operation on the stack and each asterisk (*) corresponds two pop operations on the stack. Show the sequence of values returned by the pop operations. Also, display the remaining elements in the stack after all the push and pop operations.
Please answer #2 for me. Write CLEARLY please.
Consider a standard stack data structure with a push and popoperation. What would be the exact complexity (not Big O) to print alln items in some stack and return it to its original order when finished? Lay out your assumptions and solution process in your answer.
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- The pseudocode of Figure 6.16 illustrates the basic push() and pop() operations of an array-based stack. Assuming that this algorithm could be used in a concurrent environment, answer the following questions:a. What data have a race condition?b. How could the race condition be fixed?arrow_forwardImplement a stack algorithm (write pseudocode) assuming there is a bound, in any state of the execution, on the total difference between the number of pushes and pops to the stack.arrow_forwardstack permutation of the numbers 0, 1, ..., n-1 is a permutation obtained as the sequence of numbers output by a stack after the original numbers have been processed left-to-right through a stack (via legal push and pop operations). For example, 0, 3, 2, 1 is a stack permutation of 0, 1, 2, 3 obtained by the sequence of operations: push, pop, push, push, push, pop, pop, pop. However, the permutation 1, 3, 0, 2 is not a stack permutation of 0, 1, 2, 3 Which of the following sequences are not stack permutations of 0,1,2,3,4,5,6,7,8,9? There could be more than one answer: select all those that you think are correct. There is a penalty for incorrect choices. Group of answer choices 4, 6, 8, 7, 5, 3, 2, 9, 0, 1 4, 3, 2, 1, 0, 9, 8, 7, 6, 5 2, 5, 6, 7, 4, 8, 9, 3, 1, 0 0, 4, 6, 5, 3, 8, 1, 7, 2, 9arrow_forward
- 1. Describe how to implement a queue using two stacks and O(1) additional memory, so that the amortized time for any enqueue or dequeue operation is O(1). The only access you have to the stacks is through the standard subroutines Push and Pop.arrow_forwardWhat consequences are there for the failed construction of a stack resource?arrow_forwardConsider an empty stack STK of size 5 (array-based implementation). What will be the output after applying the following stack operations? Draw a diagram in support of your answer. How many elements are there in the stack at the end of the processing?arrow_forward
- Consider a standard stack data structure with a push and popoperation. What would be the exact complexity (not Big O) to print alln items in some stack and return it to its original order when finished?arrow_forwardIt is possible for one linear structure to be more general than another. (a) Can a Queue be implemented using a Stack? What is the level of complexity of each Queue operation? (b) Can a Stack be implemented using a Queue? What are the various Stack techniques' complexities?arrow_forwardSuppose in an implementation of STACK supports an instruction REVERSE which reverses the order of the elements on the STACK, in addition to the PUSH and POP instructions. Which following statements is/are TRUE with respect to this modified STACK? Please discuss each of these statements on why that statement is True/False.a Queue can be implemented where both ENQUEUE and DEQUEUE take a single instruction eacharrow_forward
- Suppose in an implementation of STACK supports an instruction REVERSE which reverses the order of the elements on the STACK, in addition to the PUSH and POP instructions. Which following statements is/are TRUE with respect to this modified STACK? Please discuss each of these statements on why that statement is True/False. a) a Queue cannot be implemented using this modified stack. (If this statement is true, please show how to implement it. If False, Please Explain Why?)arrow_forwardAnalyze the following series of insertion (I) and deletion (D) operations is provided for debugging a module, coded in C language, being applied on STACK and circular Queue. The given series is: I D I I I D D I I I I D I D I D D D I I Compute the position of TOP or any warnings message in case of STACK (Size = 5) Compute the positions of FRONT and REAR or any warning message in case of Circular Queue after each operation (Size = 5)arrow_forwardThe two sorted stacks S1 and S2 each contain n and m numbers arranged in decreasing order, with the top elements of each stack pointing to the list item that is smallest. Make a stack MERGE that combines the items in stacks S1 and S2 so that all of the elements in S1 and S2 are accessible in MERGE in descending order, with the largest element as its top element, at the conclusion of the merge.Keep in mind that stack MERGE would have (n + m) elements.arrow_forward
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