Evaluate Reverse Polish Notation

Explore how to evaluate arithmetic expressions written in reverse Polish notation with a stack-based approach. Learn to differentiate and process operands and operators to compute the final value efficiently while understanding time and space complexities.

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Statement
Example

Sample input
Expected output

Try it yourself
Solution

Time complexity
Space complexity

Statement

Given an array of operators and operands representing an arithmetic expression in reverse Polish notationIn this notation, the operators follow their operands, hence removing the need for brackets to define evaluation priority. Reverse Polish notation is also known as postfix notation., evaluate the expression and determine its value.

Note: Valid operators are +, -, *, and /. Each operand may be an integer or another expression.

Example

In the following example, we are given an array of operators and operands in reverse Polish notation which evaluates to 9, as we can see from the illustration below:

1.Getting Started

2.Arrays

3.Linked Lists

4.Math & Stats

5.Strings

6.Trees

7.Stacks and Queues

8.Graphs

9.Back Tracking

10.Dynamic Programming

11.Miscellaneous

12.Appendix

13.Conclusion

Evaluate Reverse Polish Notation

Statement

Example