Problem StatementTisha wants to learn mathematical expressions and she wants to create a program to accept multiple infix expressions from the user and convert them into postfix expressions using a Stack-based algorithm. The program should prompt the user to enter the number of expressions they wish to convert, and then accept each expression one by one. After converting each infix expression to a postfix, the program should print the corresponding postfix expression to the console. Input format :The first line of input consists of an integer N, denoting the number of infix expressions to be converted.The following N lines of input consist of the infix expressions to be converted.Output format :The N lines of output print "Postfix expression T: " where T is the expression number followed by the corresponding postfix expression for N inputs, in separate lines.Refer to the sample output for the formatting specifications.Code constraints :The maximum length of an infix expression is 100 characters.The program should support multiple infix expressions.The program should use a stack-based algorithm to convert infix expressions to postfix expressions.Sample test cases :Input 1 :1A+B*C-D/E^FOutput 1 :Postfix expression 1: ABC*+DEF^/-Input 2 :2A+B-CD+E/F-GOutput 2 :Postfix expression 1: AB+C-Postfix expression 2: DEF/+G-Input 3 :1a*(b+c)/d-eOutput 3 :Postfix expression 1: abc+*d/e-Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.
Question
Problem StatementTisha wants to learn mathematical expressions and she wants to create a program to accept multiple infix expressions from the user and convert them into postfix expressions using a Stack-based algorithm. The program should prompt the user to enter the number of expressions they wish to convert, and then accept each expression one by one. After converting each infix expression to a postfix, the program should print the corresponding postfix expression to the console. Input format :The first line of input consists of an integer N, denoting the number of infix expressions to be converted.The following N lines of input consist of the infix expressions to be converted.Output format :The N lines of output print "Postfix expression T: " where T is the expression number followed by the corresponding postfix expression for N inputs, in separate lines.Refer to the sample output for the formatting specifications.Code constraints :The maximum length of an infix expression is 100 characters.The program should support multiple infix expressions.The program should use a stack-based algorithm to convert infix expressions to postfix expressions.Sample test cases :Input 1 :1A+BC-D/E^FOutput 1 :Postfix expression 1: ABC+DEF^/-Input 2 :2A+B-CD+E/F-GOutput 2 :Postfix expression 1: AB+C-Postfix expression 2: DEF/+G-Input 3 :1a*(b+c)/d-eOutput 3 :Postfix expression 1: abc+*d/e-Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.
Solution
The problem is asking to create a program that will convert infix expressions to postfix expressions using a Stack-based algorithm.
Here are the steps to solve the problem:
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First, prompt the user to enter the number of expressions they wish to convert. This will be an integer N.
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Then, accept each infix expression one by one. There will be N lines of input, each line containing an infix expression to be converted.
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For each infix expression, use a Stack-based algorithm to convert it to a postfix expression.
- Start from left to right, if the character is an operand, append it to the postfix expression.
- If the character is an operator, pop operators from the stack and append them to the postfix expression until the stack is empty or the operator at the top of the stack has less precedence than the current operator. Then push the current operator onto the stack.
- If the character is an open parenthesis, push it onto the stack.
- If the character is a close parenthesis, pop operators from the stack and append them to the postfix expression until an open parenthesis is encountered. Then pop the open parenthesis from the stack.
- After all characters are processed, pop any remaining operators from the stack and append them to the postfix expression.
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After converting each infix expression to a postfix, print the corresponding postfix expression to the console. The output should be in the format "Postfix expression T: ", where T is the expression number.
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Repeat steps 3 and 4 for all N infix expressions.
The maximum length of an infix expression is 100 characters. The program should support multiple infix expressions. The program should use a stack-based algorithm to convert infix expressions to postfix expressions.
Similar Questions
Problem StatementSuppose you are building a calculator application that allows users to enter mathematical expressions in infix notation. One of the key features of your calculator is the ability to convert the entered expression to postfix notation using a Stack data structure. Write a function to convert infix notation to postfix notation using a Stack.Input format :The input consists of a string, an infix expression that includes only digits(0-9), and operators(+, -, *, /).Output format :The output displays the equivalent postfix expression of the given infix expression.Refer to the sample output for formatting specifications.Code constraints :The infix expression will contain only valid arithmetic operators (+, -, *, /), numbers, and parentheses.The infix expression will have a maximum length of 30 characters.The numbers in the infix expression will be non-negative integers.Sample test cases :Input 1 :1+2*3/4-5Output 1 :123*4/+5-Input 2 :5+6-4*8/2Output 2 :56+48*2/-
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Single File Programming QuestionProblem StatementSuppose you are building a calculator application that allows users to enter mathematical expressions in infix notation. One of the key features of your calculator is the ability to convert the entered expression to postfix notation using a Stack data structure. Write a function to convert infix notation to postfix notation using a Stack.Input format :The input consists of a string, an infix expression that includes only digits(0-9), and operators(+, -, *, /).Output format :The output displays the equivalent postfix expression of the given infix expression.Refer to the sample output for formatting specifications.Code constraints :The infix expression will contain only valid arithmetic operators (+, -, *, /), numbers, and parentheses.The infix expression will have a maximum length of 30 characters.The numbers in the infix expression will be non-negative integers.Sample test cases :Input 1 :1+2*3/4-5Output 1 :123*4/+5-Input 2 :5+6-4*8/2Output 2 :56+48*2/-
Write a function to evaluate a postfix expression using a stack. The expression contains single-digit integers and the operators +, -, *, /.Constraints:NAExample:Sample Input:94*2/Sample Output:18Explanation:As only single operands are being considered, 9, 4, 2 are the operands and *, / are operators.After pushing 9 and 4 into the stack * operator was encountered. So, 9*4 = 36.Then, 36/2 will be 8.Public Test Cases:# INPUT EXPECTED OUTPUT1 94*2/18
In a prestigious educational institute, Professor Smith designs a programming challenge for Computer Science students. As part of an assessment on Data Structures and Algorithms, students are presented with a postfix expression that involves mathematical operations.The challenge requires students to develop a robust algorithm to evaluate these expressions accurately and efficiently. This exercise not only hones their coding skills but also emphasizes the importance of understanding stack-based computations, enhancing their problem-solving capabilities for real-world software development scenarios.Write a program to evaluate the given postfix expression and display the result.Note: This is a sample question asked in Infosys recruitment.Input format :The input consists of a postfix mathematical expression.The expression will contain real numbers and mathematical operators (+, -, *, /), without any space.Output format :The output prints the result of evaluating the given postfix expression.Refer to the sample output for formatting specifications.Code constraints :The arithmetic operators to be included in the expression are +, -, *, and /.Sample test cases :Input 1 :82/Output 1 :4Input 2 :545*+5/Output 2 :5Input 3 :82-4+Output 3 :10
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