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/-
Question
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+23/4-5Output 1 :1234/+5-Input 2 :5+6-48/2Output 2 :56+482/-
Solution
Here is a Python function that converts infix notation to postfix notation using a Stack data structure:
def infix_to_postfix(infix_expression):
precedence = {'+':1, '-':1, '*':2, '/':2}
stack = [] # stack to hold operators
postfix = '' # resulting postfix expression
for char in infix_expression:
if char.isdigit(): # if the character is a digit, add it to the postfix expression
postfix += char
elif char in '+-*/': # if the character is an operator
while stack and stack[-1] in '+-*/' and precedence[char] <= precedence[stack[-1]]:
postfix += stack.pop() # pop operators from the stack to the postfix expression
stack.append(char) # push the current operator onto the stack
elif char == '(':
stack.append(char) # push '(' onto the stack
elif char == ')':
while stack and stack[-1] != '(':
postfix += stack.pop() # pop operators from the stack to the postfix expression
stack.pop() # pop '(' from the stack
while stack:
postfix += stack.pop() # pop any remaining operators from the stack
return postfix
This function works by iterating over the characters in the infix expression. If a character is a digit, it is added to the postfix expression. If a character is an operator, it is pushed onto the stack. However, before pushing an operator onto the stack, any operators already on the stack that have greater or equal precedence are popped off the stack and added to the postfix expression. If a character is an open parenthesis, it is pushed onto the stack. If a character is a close parenthesis, operators are popped off the stack and added to the postfix expression until an open parenthesis is encountered. After all characters in the infix expression have been processed, any remaining operators on the stack are popped off and added to the postfix expression.
Similar Questions
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
Single File Programming QuestionProblem StatementYou are implementing a stack-based calculator. Your calculator should take a string that represents a mathematical expression in postfix notation (also known as reverse Polish notation) and return the result of the calculation. For example, the input "2 3 +" should return 5, and "5 2 - 3 *" should return 9. Construct a logic to evaluate the mathematical expression.Input format :The input consists of a single line of mathematical expression string separated by a space.Output format :The output prints the result of the expression evaluation.If the input has expressions other than + - * /, return the output as -1.Refer to the sample output for formatting specifications.Code constraints :Allowed arithmetic expressions: + - * /Sample test cases :Input 1 :2 7 +Output 1 :9Input 2 :6 4 - 2 *Output 2 :4Input 3 :1 2 @Output 3 :-1Input 4 :2 3 +Output 4 :5Input 5 :5 2 - 3 *Output 5 :9
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.
You are implementing a stack-based calculator. Your calculator should take a string that represents a mathematical expression in postfix notation (also known as reverse Polish notation) and return the result of the calculation. For example, the input "2 3 +" should return 5, and "5 2 - 3 *" should return 9. Construct a logic to evaluate the mathematical expression.Input format :The input consists of a single line of mathematical expression string separated by a space.Output format :The output prints the result of the expression evaluation.If the input has expressions other than + - * /, return the output as -1.Refer to the sample output for formatting specifications.Code constraints :Allowed arithmetic expressions: + - * /Sample test cases :Input 1 :2 7 +Output 1 :9Input 2 :6 4 - 2 *Output 2 :4Input 3 :1 2 @Output 3 :-1Input 4 :2 3 +Output 4 :5Input 5 :5 2 - 3 *Output 5 :9Note :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.
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