c) Suppose you have three stacks sl, s2, s2 with starting configuration shown on the left, and finishing condition shown on the right. Give a sequence of push and pop operations that take you from start to finish. For example, to pop the top element of s1 and push it onto s3, you would write s3.push( s1.pop()). start finish A C A D --- s1 s2 s3 s1 s2 s3 d) In implementing a Queue using an array, a problem might arise if the Queue is implemented in such a way that items in the Queue are inserted at the next available location and removed from the next leading position, but such that, once deleted, the emptied space is unused. The problem that arises is one where there is free space still in the array, but it is not useable because it is not at the end. Demonstrate this problem with a Queue that is stored in an array of size 5 for the following instructions. Next, explain how you might resolve this problem. B.

c) Suppose you have three stacks sl, s2, s2 with starting configuration shown on the left, and finishing condition shown on the right. Give a sequence of push and pop operations that take you from start to finish. For example, to pop the top element of s1 and push it onto s3, you would write s3.push( s1.pop()). start finish A C A D --- s1 s2 s3 s1 s2 s3 d) In implementing a Queue using an array, a problem might arise if the Queue is implemented in such a way that items in the Queue are inserted at the next available location and removed from the next leading position, but such that, once deleted, the emptied space is unused. The problem that arises is one where there is free space still in the array, but it is not useable because it is not at the end. Demonstrate this problem with a Queue that is stored in an array of size 5 for the following instructions. Next, explain how you might resolve this problem. B.

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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Question

1. a)
Convert (A+B* (C-D))/E into Postfix from showing stack status after every step in tabular
form.
1.
b)
Consider the following stack of characters, where STACK is allocated N = 5 memory cells
4
STACK :
3
2
1
A
Describe the stack as the following operations takes place:
(i)
(ii)
(ii)
POP(STACK,ITEM)
PUSH(STACK, C)
POP(STACK, ITEM)
PUSH(STACK, D)
PUSH(STACK, E)
POP(STACK, ITEM)
(v)
(vi)

c) Suppose you have three stacks sl, s2, s2 with starting configuration shown on the left, and
finishing condition shown on the right. Give a sequence of push and pop operations that
take you from start to finish. For example, to pop the top element of s1 and push it onto
s3, you would write s3.push( s1.pop()).
start
finish
A
B
A
D
D
E
E
---
.--
s1
s2
s3
s1
s2
s3
d) In implementing a Queue using an array, a problem might arise if the Queue is implemented in such a
way that items in the Queue are inserted at the next available location and removed from the next leading
position, but such that, once deleted, the emptied space is unused. The problem that arises is one where
there is free space still in the array, but it is not useable because it is not at the end. Demonstrate this
problem with a Queue that is stored in an array of size 5 for the following instructions. Next, explain how
you might resolve this problem.
Queue q = new Queue(4); // assume the Queue constructor takes 5 as the size of the array
q.enqueue(7):
q.enqueue (13);
q.dequeue ( );
q.enqueue(16);
q.dequeue();
q.enqueue(11);
q.dequeue( );
q.enqueue(15);
q.dequeue( );
B.

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