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Meenu is studying computer science and is currently learning about expressions in infix notation. She needs a program to convert infix expressions to postfix notation to help her with her studies. Can you help her by providing a program that performs this conversion?The program should support the following operations:Check if a character is an operator (+, -, *, or /).Determine the precedence of an operator.Convert an infix expression to postfix notation.ExampleInput:(3+4)5Output:34+5Note: This is a sample question asked in TCS recruitment.Input format :The input consists of the infix expression to be converted to postfix notation.Output format :The output displays the postfix expression equivalent of the input infix expression.Refer to the sample output for formatting specifications.Code constraints :The input line will not exceed a length of 100 characters.The infix expression may contain operators (+, -, *, /) and parentheses (,).Sample test cases :Input 1 :A+B*C-D/EOutput 1 :Postfix expression: ABC*+DE/-Input 2 :3+4*5/(6-2)Output 2 :Postfix expression: 345*62-/+Input 3 :(3+4)5Output 3 :Postfix expression: 34+5

Question

Meenu is studying computer science and is currently learning about expressions in infix notation. She needs a program to convert infix expressions to postfix notation to help her with her studies. Can you help her by providing a program that performs this conversion?The program should support the following operations:Check if a character is an operator (+, -, , or /).Determine the precedence of an operator.Convert an infix expression to postfix notation.ExampleInput:(3+4)5Output:34+5Note: This is a sample question asked in TCS recruitment.Input format :The input consists of the infix expression to be converted to postfix notation.Output format :The output displays the postfix expression equivalent of the input infix expression.Refer to the sample output for formatting specifications.Code constraints :The input line will not exceed a length of 100 characters.The infix expression may contain operators (+, -, , /) and parentheses (,).Sample test cases :Input 1 :A+BC-D/EOutput 1 :Postfix expression: ABC+DE/-Input 2 :3+45/(6-2)Output 2 :Postfix expression: 34562-/+Input 3 :(3+4)5Output 3 :Postfix expression: 34+5

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Solution

Sure, I can help with that. Here is a Python program that converts infix expressions to postfix notation:

class Conversion:
    def __init__(self, capacity):
        self.top = -1
        self.capacity = capacity
        self.array = []
        self.precedence = {'+':1, '-':1, '*':2, '/':2, '^':3}
        self.result = []
 
    def isEmpty(self):
        return True if self.top == -1 else False
 
    def peek(self):
        return self.array[-1]
 
    def pop(self):
        if not self.isEmpty():
            self.top -= 1
            return self.array.pop()
        else:
            return "$"
 
    def push(self, op):
        self.top += 1
        self.array.append(op)
 
    def isOperand(self, ch):
        return ch.isalpha() or ch.isdigit()
 
    def notGreater(self, i):
        try:
            a = self.precedence[i]
            b = self.precedence[self.peek()]
            return True if a <= b else False
        except KeyError:
            return False
 
    def infixToPostfix(self, exp):
        for i in exp:
            if self.isOperand(i):
                self.result.append(i)
            elif i  == '(':
                self.push(i)
            elif i == ')':
                while self.peek() != '(':
                    self.result.append(self.pop())
                self.pop()
            else:
                while (not self.isEmpty() and self.notGreater(i)):
                    self.result.append(self.pop())
                self.push(i)
        while not self.isEmpty():
            self.result.append(self.pop())
        print("".join(self.result))
 
exp = "3+4*5/(6-2)"
obj = Conversion(len(exp))
obj.infixToPostfix(exp)

This program uses a stack to hold operators and parentheses during the conversion process. It scans the infix expression from left to right, and does the following for every scanned character:

  • If the scanned character is an operand, it is added to the output.
  • If the scanned character is an operator, then it is pushed onto the stack.
  • If the scanned character is an '(', it is pushed onto the stack.
  • If the scanned character is a ')', then it pops and outputs from the stack until an '(' is encountered.
  • If the stack is not empty and the precedence of the scanned operator is less than or equal to the precedence of the operator in the stack, it pops and adds to the output all the operators from the stack which are greater than or equal to in precedence the scanned operator. Then it pushes the scanned operator to the stack.

This problem has been solved

Similar Questions

Develop a feature to transform infix expressions into prefix notation for improved parsing efficiency and evaluation clarity. The task involves reading infix expressions from source code, converting them using stack-based algorithms to maintain operator precedence, and outputting the resulting prefix notation. 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 prefix expression of the given infix expression.

Write an algorithm for converting infix expression into postfix expression.

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/-

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.

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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