Problem:
Score : 300 points

Problem Statement

You are given a string S consisting of digits between 1 and 9, inclusive.
You can insert the letter + into some of the positions (possibly none) between two letters in this string.
Here, + must not occur consecutively after insertion.

All strings that can be obtained in this way can be evaluated as formulas.

Evaluate all possible formulas, and print the sum of the results.

Constraints

1 \leq |S| \leq 10

All letters in S are digits between 1 and 9, inclusive.

Input

The input is given from Standard Input in the following format:

S

Output

Print the sum of the evaluated value over all possible formulas.

Sample Input 1

125

Sample Output 1

176

There are 4 formulas that can be obtained: 125, 1+25, 12+5 and 1+2+5. When each formula is evaluated,

125

1+25=26

12+5=17

1+2+5=8

Thus, the sum is 125+26+17+8=176.

Sample Input 2

9999999999

Sample Output 2

12656242944

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Linq;
using System.Text;
using System.Text.RegularExpressions;
using System.Collections.Generic;

class Program
{
	static List<StringBuilder> SBList;

	static void Plus(string str, int num){
			StringBuilder S1 = new StringBuilder(str);
			StringBuilder S2 = new StringBuilder(str);
			int length = str.Length;

			//最終インデックスの場合
			if(num == length){
					SBList.Add(S1);
			}
			//それ以前の場合
			else{
					//分割するヴァージョンはS1
					S1.Insert(num, "+");
					Plus(S1.ToString(), num+2);

					//分割しないヴァージョンはS2
					Plus(S2.ToString(), num+1);
			}
	}

	//Main
	static void Main(string[] args)
	{
		//読み込む
		string S = Console.ReadLine();

		//分割した文字を格納するリスト
		SBList = new List<StringBuilder>();

		//再帰的処理
		Plus(S, 1);

		//順次加算
		long answer = 0;
		foreach(StringBuilder s in SBList){
				long[] formula = s.ToString().Split('+').Select(i => long.Parse(i)).ToArray();
				foreach(long n in formula){
						answer += n;
				}
		}
		Console.WriteLine(answer);
	}
}