**Algorithm: checkBalance(expression)**This algorithm returns true if parentheses, brackets, and braces in an algebraic expression are paired correctly.1. **Initialize:** ``` isBalanced = true ``` Start with the assumption that everything is balanced, with nothing processed yet.2. **Read the Expression:** ``` while ((isBalanced == true) and not end of expression) { nextCharacter = read next character in expression ``` Continue reading until the end of the expression or until it's determined that the expression is not balanced.3. **Check Character Type:** ``` switch (nextCharacter) { ``` - **Open Delimiters:** ``` case '(': case '[': case '{': Push nextCharacter onto stack break ``` For any open parenthesis, brace, or bracket, push the character onto a stack. - **Closed Delimiters:** ``` case ')': case ']': case '}': if (stack is empty) isBalanced = false else { openDelimiter = top entry of stack Pop stack isBalanced = true or false } break ``` For any closed parenthesis, brace, or bracket, check if the stack is empty. If it is, the expression is not balanced. Otherwise, pop the top item from the stack and determine if the delimiters are correctly paired. End switch-case.4. **Post-Expression Check:** ``` if (stack is not empty) isBalanced = false ``` If the stack is not empty after processing the entire expression, it means there are unmatched open delimiters.5. **Return Result:** ``` return isBalanced ``` The algorithm returns true if the expression is balanced and false otherwise.End of the algorithm. 1. Show the stack states (contents) as you trace the algorithm `checkBalance`, as discussed in class, for **each** of the following infix expressions:(a) a { b [ c * ( d + e ) ] – f }(b) { a ( b * c ) / [ d + e ] / f } – g }(c) a { b [ c – d ] e ] ) f

Answered: Image /qna-images/answer/151ca68b-e24c-443e-ad5b-01f4df57897e.jpg

1. Show the stack states (contents) as you trace the algorithm checkBalance, as discussed in class, for each of the following infix expressions: (a) a { b [ c * (d + e)]-f} (b) { a ( b * c ) / [ d + e]/f)-g} (c) a { b [ c-d]e])f

1. Show the stack states (contents) as you trace the algorithm checkBalance, as discussed in class, for each of the following infix expressions: (a) a { b [ c * (d + e)]-f} (b) { a ( b * c ) / [ d + e]/f)-g} (c) a { b [ c-d]e])f

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

See similar textbooks

Related questions

Q: In this project, you will develop algorithms that find road routes through the bridges to travel…

A: solution

Q: Modified Recursive Binary Search • Write C++ program hw7.cpp that meets the following requirements:…

A: The C++ code is given below with output screenshot

Q: ii) show push and pop operations on the stack.

A: CODE:- #include<stdio.h>struct Node{ int data; struct Node *next;}*top = NULL; void…

Q: Challenging, beyond recursion practice in this class, just an exercise to dissect hybird structure…

A: Please refer to the following step for the complete solution to the problem above.

Q: 5. Evaluate the following postfix expression. (a + b) * c - (d - e) / f The postfix will be a. a…

Q: Write a Function in F# please and Thankyou.

A: write function to pairwise the list.

Q: Draw the call stack diagram for a call to mystery(7) and indicate what it would return.

A: mystery function returns 5 if n is less than 3 If n is greater than or equal to 3, then it returns…

Q: 1. Stack Implementation Write a method called insert for the class Stack. The method shall be…

A: The JAVA code is given below with explanation

Q: In C you can define a pointer to any data type, except another pointer. True False

A: [as per guidelines we are supposed to answer only 1st question] In c you can define a pointer to any…

Q: Implement a program in C++ that has the following three parts and each does the following:

A: In the C++ Code written below, the push() function takes an argument value and makes sure it is to…

Q: Write code for circular queues method (Deque) using array data structure which should: Delete the…

A: Let's understand step by step : 1. First of all declare array a[] which stores all the elements…

Question

**Algorithm: checkBalance(expression)**

This algorithm returns true if parentheses, brackets, and braces in an algebraic expression are paired correctly.

1. **Initialize:**

```
isBalanced = true
```

Start with the assumption that everything is balanced, with nothing processed yet.

2. **Read the Expression:**

```
while ((isBalanced == true) and not end of expression) {
nextCharacter = read next character in expression
```

Continue reading until the end of the expression or until it's determined that the expression is not balanced.

3. **Check Character Type:**

```
switch (nextCharacter) {
```

- **Open Delimiters:**

```
case '(': case '[': case '{':
Push nextCharacter onto stack
break
```

For any open parenthesis, brace, or bracket, push the character onto a stack.

- **Closed Delimiters:**

```
case ')': case ']': case '}':
if (stack is empty)
isBalanced = false
else {
openDelimiter = top entry of stack
Pop stack
isBalanced = true or false
}
break
```

For any closed parenthesis, brace, or bracket, check if the stack is empty. If it is, the expression is not balanced. Otherwise, pop the top item from the stack and determine if the delimiters are correctly paired.

End switch-case.

4. **Post-Expression Check:**

```
if (stack is not empty)
isBalanced = false
```

If the stack is not empty after processing the entire expression, it means there are unmatched open delimiters.

5. **Return Result:**

```
return isBalanced
```

The algorithm returns true if the expression is balanced and false otherwise.

End of the algorithm.

1. Show the stack states (contents) as you trace the algorithm `checkBalance`, as discussed in class, for **each** of the following infix expressions:

(a) a { b [ c * ( d + e ) ] – f }

(b) { a ( b * c ) / [ d + e ] / f } – g }

(c) a { b [ c – d ] e ] ) f

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: part (a)

VIEW

Step 2: part (b)

VIEW

Step 3: part (c)

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

5. fast please Convert the following infix expression into its prefix and postfix equivalents: a / b - (c + d * e) / f * g For any postfix, show the final transformed expression using the stack method for transformation as explained in class showing all the relevant steps. For the prefix, show any needed reversion and the final transformed expression using the stack method for transformation as explained in class showing all the relevant steps. Draw and sequence your diagrams clearly
5. The creeping problem occurs when a queue is implemented as an array. (a) Define the creeping problem. (b) Describe how to implement a queue as an array in order to avoid the creeping problem. (c) Write the C++ method Join for the new type of Queue described in (b) above.
Assume class StackType has been defined to implement a stack data structure as discussed in your textbook (you may also use the stack data structure defined in the C++ STL). Write a function that takes a string parameter and determines whether the string contains balanced parentheses. That is, for each left parenthesis (if there is any) there is exactly one matching right parenthesis later in the string and every right parenthesis is preceded by exactly one matching left parenthesis earlier in the string. e.g. abc(c(x)d(e))jh is balanced whereas abc)cd(e)(jh is not. The function algorithm must use a stack data structure to determine whether the string parameter satisfies the condition described above. Edit Format Table 12pt v Paragraph v |BIU A v ev T? WP O words ....
6. Write the prototype and definition of a new non-member function int size(…..) to the class Stack based on compile array which returns the current size (number of actual items) in your object of type Stack
i want the program in java
#include<bits/stdc++.h>using namespace std;#define MAX 1000 //Maximum size of stack class Stack{ int top;// to store top of stack public: int elements[MAX]; //Integer array to store elements Stack(){ //class constructor for initialization top=-1; } bool push(int x) { if(top>=(MAX-1)) //Condition for top when stack because full { cout<<"Stack is full\n"; return false; } else { ++top; //Increasing top value elements[top]=x; //storing it to element in to stack return true; }}int pop(){ if(top<0)// Condition for top when stack is empty { cout<<"stack is empty\n"; return INT_MIN; } else { int x=elements[top--];//poping out the element for stack by decreasing to element return x; }}int display(){if(top<0)//Condition for top when stack is empty { cout<<"Stack is…
Explain Please please
Modify the C++ class for the abstract stack type shown belowto use a linked list representation and test it with the same code thatappears in this chapter. #include <iostream.h>class Stack {private: //** These members are visible only to other//** members and friends (see Section 11.6.4)int *stackPtr;int maxLen;int topSub;public: //** These members are visible to clientsStack() { //** A constructorstackPtr = new int [100];maxLen = 99;topSub = -1;}~Stack() {delete [] stackPtr;}; //** A destructorvoid push(int number) {if (topSub == maxLen)cerr << "Error in push--stack is full\n";else stackPtr[++topSub] = number;}void pop() {if (empty())cerr << "Error in pop--stack is empty\n";else topSub--;}int top() {if (empty())cerr << "Error in top--stack is empty\n";elsereturn (stackPtr[topSub]);}int empty() {return (topSub == -1);} }
Data Structure Using C++ I need a function like this ::: float postfixEval(string postfix) {int a, b;stack<float> stk;string::iterator it;for(it=postfix.begin(); it!=postfix.end(); it++) {//read elements and perform postfix evaluationif(isOperator(*it) != -1) {a = stk.top();stk.pop();b = stk.top();stk.pop();stk.push(operation(a, b, *it));}else if(isOperand(*it) > 0) {stk.push(checkNumber(*it));}}return stk.top();} to evaluate postfix with more one digit in expression (multi digits) please just this function simple like the above