Problem:
Reverse Polish notation is a notation where every operator follows all of its operands. For example, an expression (1+2)*(5+4) in the conventional Polish notation can be represented as 1 2 + 5 4 + * in the Reverse Polish notation. One of advantages of the Reverse Polish notation is that it is parenthesis-free.

Write a program which reads an expression in the Reverse Polish notation and prints the computational result.

An expression in the Reverse Polish notation is calculated using a stack. To evaluate the expression, the program should read symbols in order. If the symbol is an operand, the corresponding value should be pushed into the stack. On the other hand, if the symbols is an operator, the program should pop two elements from the stack, perform the corresponding operations, then push the result in to the stack. The program should repeat this operations.

Input

An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.

You can assume that +, - and * are given as the operator and an operand is a positive integer less than 106

Output

Print the computational result in a line.

Constraints

2 ≤ the number of operands in the expression ≤ 100

1 ≤ the number of operators in the expression ≤ 99

-1 × 109 ≤ values in the stack ≤ 109

Sample Input 1

1 2 +

Sample Output 1

3

Sample Input 2

1 2 + 3 4 - *

Sample Output 2

-3

Notes

Template in C

Solution in C# (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;


namespace ALDS1_3_A_Stack
{
	class Program
	{
		static void Main ( string[] args )
		{
			//input
			string[] inputStr = Console.ReadLine ().Trim ().Split (' ');
			
			//process
			Stack stack = new Stack (inputStr.Length);

			//push
			for (int lp = inputStr.Length - 1; lp >= 0; lp--)
			{
				stack.Push (inputStr[lp]);
			}

			//calculate
			while (true)
			{
				List<string> element = new List<string> (3);

				//????????????
				if (stack.Index <= 1)
				{
					string result = stack.Pop ();
					Console.WriteLine (result);
					return;
				}

				//?¬????????????????????????§??????
				//?°?????????¨???3????????????????????????
				do
				{
					element.Add (stack.Pop ());
				} while (!IsFlag (element[element.Count - 1]));


				//?¬??????????????????????????????´????????°???2??????????±?????¨??????????
				int num = int.Parse (element[element.Count - 3]);
				int num2 = int.Parse (element[element.Count - 2]);
				int calculate = 0;

				switch (element[element.Count - 1])
				{
					case "+": calculate = num + num2; break;
					case "-": calculate = num - num2; break;
					case "*": calculate = num * num2; break;
					case "/": calculate = num / num2; break;
					default:
						Console.WriteLine ("Error"); break;
				}

				//?¨????????????¨???????????£???????????¨????¨?????????????????????¨????????????????????????
				for (int index = element.Count - 1 - 3; index >= 0; index--)
				{
					stack.Push (element[index]);
				}
				stack.Push (calculate.ToString ());
			}
		}

		static bool IsFlag ( string element )
		{
			switch (element)
			{
				case "+":
				case "-":
				case "*":
				case "/": return true;
				default: return false;
			}
		}
	}

	class Stack
	{
		public Stack ( int length )
		{
			Elements = new string[length];
			this.Index = 0;
		}

		private string[] Elements { set; get; }
		public int Index { private set; get; }

		public void Push ( string element )
		{
			this.Elements[Index] = element;
			Index++;
		}
		public string Pop ()
		{
			Index--;
			return Elements[Index];
		}
		public bool IsEmpty ()
		{
			return Index <= 0 ? true : false;
		}
	}
}