Given a singly linked has the following values in its nodes when traversed from head to tail (11, 7, 2, 10, 5}, If this list represents a stack called s, what is the info of the node pointed to by head pointer after executing the following sequence of operations: s.top(), s.push(10), s.pop(), s.top() Select one: О а. 10 O b. 11 Oc. 7 O d. 2 Clear my choice
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- 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. -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""".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 the queue.
- An ADT linked stack with the top node as its last link is a good example of how this stack might be used. The following methods may be defined without traversing. A (a) pop (b) peekWrite a procedure to convert a linked stack into a linked queue.2. An ordered stack is a data structure that stores a sequence of items and supports the following operations. • OrderedPush(x): removes all items smaller than x from the beginning of the sequence and then adds x to the beginning of the sequence. • Pop: deletes and returns the first item in the sequence (or Null if the sequence is empty). Suppose we implement an ordered stack with a simple linked list, using the obvious OrderedPush and Pop algorithms. Prove that if we start with an empty data structure, the amortized cost of each OrderedPush or Pop operation is O(1).
- In this problem you will design a data structure that implements Stack ADT using singly-linked list instead of an array. In addition your stack will have the following additional operation: public catenate (Stack s); // appends the contents of Stack s to the current stack The new operation will have the following properties: Let n = s₁.size(), m= s2.size(). Then executing s₁.catenate(s2) results in the following: 1. The new size of s₁ is the sum of the size of s2 and the original size of s₁, i.e., the following evaluates to true: s₁.size() == n + m 2. Top n elements of s₁ after the call s₁.catenate(s2) are the same as the elements of s₁ before the call. The bottom m elements of s₁ after the call s₁.catenate(s2) are the same as the elements of S2 before the call. (a) The implementation described in the book, lecture notes and screencasts uses an array to implement Stack ADT. Can you implement catenate (Stack s) operation that runs in O(1) time for such imple- mentation? If yes, write…The contents of the linked stack L_S and linked queue L_Q are swapped in both operations. While WHAT_IS_COOKING1 exchanges the data items of the lists, WHAT_IS_COOKING2 just manipulates the pointers and so appears more elegant.Six elements 4, B, C, D, E, and F are pushed onto a stack in reverse order, i.e., starting from F. The stack is popped five times and each element is inserted into a queue. Three elements are deleted from the queue and pushed back onto the stack. Now, one element is popped from the stack. What is the popped element? Step by step justifies
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