> For the complete documentation index, see [llms.txt](https://mayanktyagi3111.gitbook.io/interview-prep/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://mayanktyagi3111.gitbook.io/interview-prep/stacks-and-queues/evaluate-expression.md).

# Evaluate Expression

Evaluate the value of an arithmetic expression in Reverse Polish Notation.

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

\
\
**Input Format**

```
The only argument given is character array A.
```

**Output Format**

```
Return the value of arithmetic expression formed using reverse Polish Notation.
```

**For Example**

```
Input 1:
    A =   ["2", "1", "+", "3", "*"]
Output 1:
    9
Explaination 1:
    starting from backside:
    *: ( )*( )
    3: ()*(3)
    +: ( () + () )*(3)
    1: ( () + (1) )*(3)
    2: ( (2) + (1) )*(3)
    ((2)+(1))*(3) = 9
    
Input 2:
    A = ["4", "13", "5", "/", "+"]
Output 2:
    6
Explaination 2:
    +: ()+()
    /: ()+(() / ())
    5: ()+(() / (5))
    1: ()+((13) / (5))
    4: (4)+((13) / (5))
    (4)+((13) / (5)) = 6
```

```java
public class Solution {
    public int evalRPN(String[] A) {
        Stack<Integer> st = new Stack<>();
        for (int i = 0; i < A.length; i++) {
            if (A[i].compareTo("+") == 0) {
                int num1 = st.pop();
                int num2 = st.pop();
                st.push(num2 + num1);
            } else if (A[i].compareTo("-") == 0) {
                int num1 = st.pop();
                int num2 = st.pop();
                st.push(num2 - num1);
            } else if (A[i].compareTo("*") == 0) {
                int num1 = st.pop();
                int num2 = st.pop();
                st.push(num2 * num1);
            } else if (A[i].compareTo("/") == 0) {
                int num1 = st.pop();
                int num2 = st.pop();
                st.push(num2 / num1);
            } else {
                st.push(Integer.parseInt(A[i]));
            }
        }
        return st.pop();
    }
}

```