[算法]Evaluate Reverse Polish Notation

Evaluate the value of an arithmetic expression in Reverse Polish Notation. Valid operators are +, -, *, /. Each operand may be an integer or another expression. For example:

  ["2", "1", "+", "3", "*"] -> ((2 + 1) * 3) -> 9
  ["4", "13", "5", "/", "+"] -> (4 + (13 / 5)) -> 6

1. Naive Approach

This problem can be solved by using a stack. We can loop through each element in the given array. When it is a number, push it to the stack. When it is an operator, pop two numbers from the stack, do the calculation, and push back the result.

public class Test {
 
	public static void main(String[] args) throws IOException {
		String[] tokens = new String[] { "2", "1", "+", "3", "*" };
		System.out.println(evalRPN(tokens));
	}
 
	public static int evalRPN(String[] tokens) {
		int returnValue = 0;
		String operators = "+-*/";
 
		Stack<String> stack = new Stack<String>();
 
		for (String t : tokens) {
			if (!operators.contains(t)) { //push to stack if it is a number
				stack.push(t);
			} else {//pop numbers from stack if it is an operator
				int a = Integer.valueOf(stack.pop());
				int b = Integer.valueOf(stack.pop());
				switch (t) {
				case "+":
					stack.push(String.valueOf(a + b));
					break;
				case "-":
					stack.push(String.valueOf(b - a));
					break;
				case "*":
					stack.push(String.valueOf(a * b));
					break;
				case "/":
					stack.push(String.valueOf(b / a));
					break;
				}
			}
		}
 
		returnValue = Integer.valueOf(stack.pop());
 
		return returnValue;
	}
}

or

public class Solution {
    public int evalRPN(String[] tokens) {
 
        int returnValue = 0;
 
        String operators = "+-*/";
 
        Stack<String> stack = new Stack<String>();
 
        for(String t : tokens){
            if(!operators.contains(t)){
                stack.push(t);
            }else{
                int a = Integer.valueOf(stack.pop());
                int b = Integer.valueOf(stack.pop());
                int index = operators.indexOf(t);
                switch(index){
                    case 0:
                        stack.push(String.valueOf(a+b));
                        break;
                    case 1:
                        stack.push(String.valueOf(b-a));
                        break;
                    case 2:
                        stack.push(String.valueOf(a*b));
                        break;
                    case 3:
                        stack.push(String.valueOf(b/a));
                        break;
                }
            }
        }
 
        returnValue = Integer.valueOf(stack.pop());
 
        return returnValue;
 
    }
}