i) For n = 5, if S1 = {a, b} and S2 = {m, n}, how would array A look after all of the elements of stacks S1 and S2 were pushed into it invoking PushS1(x) and PushS2(x)? ii) How would array A look if the following operations were carried out in a sequence? What values do the variables w and y represent at the end of the operations? PopS1 (w) PopS2 (y) PushS1 (y) PushS2 (w) PopS2 (y) PopS2 (w)
i) For n = 5, if S1 = {a, b} and S2 = {m, n}, how would array A look after all of the elements of stacks S1 and S2 were pushed into it invoking PushS1(x) and PushS2(x)? ii) How would array A look if the following operations were carried out in a sequence? What values do the variables w and y represent at the end of the operations? PopS1 (w) PopS2 (y) PushS1 (y) PushS2 (w) PopS2 (y) PopS2 (w)
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
Related questions
Question
![Two stacks S1 and S2 are to be stored in a single array A[1:n], with
PushS1 (x) and PushS2 (x) handling their respective push operations with
regard to element x and PopS1 (x) and PopS2 (x) handling their respective pop
operations, with the output variable x indicating the element popped out from the
stack. Let TopS1 and TopS2 be their respective top-of-stack variables. The stacks
share their storage space in such a way that their respective bottom of stacks are
positioned in the middle of the array, as shown in Figure P4.1, and the stacks grow
in the opposite directions.
Array A:
[1]
[2] [3]...
Stack S₁
. [[n/2]][[n/2]+1] [n-2] [n-1] [n]
Bottom of
Stack S₁
PopS1 (w)
PopS2 (y)
PushS1 (y)
PushS2 (w)
Stack S₂
Figure P4.1. Two stacks are stored in a single array A with
the bottom of stacks positioned in the middle of the array
PopS2 (y)
PopS2 (w)
Bottom of
Stack S₂
i) For n = 5, if S1 = {a, b} and S2 = {m, n}, how would array A look after all of
the elements of stacks S1 and S2 were pushed into it invoking PushS1(x) and
PushS2(x)?
ii) How would array A look if the following operations were carried out in a
sequence? What values do the variables w and y represent at the end of the
operations?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F294d957e-e896-4b46-8a6f-077ec00a5cb8%2F1a7072a4-fa2e-40c8-8e60-b2b04d77bd5d%2Fsw2iv8n_processed.png&w=3840&q=75)
Transcribed Image Text:Two stacks S1 and S2 are to be stored in a single array A[1:n], with
PushS1 (x) and PushS2 (x) handling their respective push operations with
regard to element x and PopS1 (x) and PopS2 (x) handling their respective pop
operations, with the output variable x indicating the element popped out from the
stack. Let TopS1 and TopS2 be their respective top-of-stack variables. The stacks
share their storage space in such a way that their respective bottom of stacks are
positioned in the middle of the array, as shown in Figure P4.1, and the stacks grow
in the opposite directions.
Array A:
[1]
[2] [3]...
Stack S₁
. [[n/2]][[n/2]+1] [n-2] [n-1] [n]
Bottom of
Stack S₁
PopS1 (w)
PopS2 (y)
PushS1 (y)
PushS2 (w)
Stack S₂
Figure P4.1. Two stacks are stored in a single array A with
the bottom of stacks positioned in the middle of the array
PopS2 (y)
PopS2 (w)
Bottom of
Stack S₂
i) For n = 5, if S1 = {a, b} and S2 = {m, n}, how would array A look after all of
the elements of stacks S1 and S2 were pushed into it invoking PushS1(x) and
PushS2(x)?
ii) How would array A look if the following operations were carried out in a
sequence? What values do the variables w and y represent at the end of the
operations?
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