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.
Question
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.
Solution
Here is a step-by-step guide to solve this problem:
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Initialize an empty stack.
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Split the input string into a list of tokens. In this case, the tokens are the numbers and the operators, which are separated by spaces.
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Iterate over the list of tokens. For each token:
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If the token is a number, push it onto the stack.
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If the token is an operator, pop the top two numbers from the stack, perform the operation, and push the result back onto the stack. If the operator is not one of the four basic arithmetic operators (+, -, *, /), return -1.
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After all tokens have been processed, the result of the expression is the number left on the stack.
Here is a Python code snippet that implements this logic:
def evaluate_expression(expression):
stack = []
for token in expression.split():
if token in '+-*/':
if len(stack) < 2:
return -1
b, a = stack.pop(), stack.pop()
if token == '+':
stack.append(a + b)
elif token == '-':
stack.append(a - b)
elif token == '*':
stack.append(a * b)
elif token == '/':
if b == 0:
return -1
stack.append(a / b)
else:
try:
stack.append(int(token))
except ValueError:
return -1
if len(stack) != 1:
return -1
return stack[0]
This function takes a string representing a mathematical expression in postfix notation and returns the result of the calculation. If the expression is invalid (e.g., it contains an operator other than the four basic arithmetic operators, or it results in a division by zero), the function returns -1.
Similar Questions
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
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
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/-
- Evaluate the postfix expression "5 3 * 8 +" using a stack
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/-
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