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.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace AtCorder
{
    class Program
    {
        static void Main(string[] args)
        {

            // ARC061A


            var S = Console.ReadLine();
            var k = S.Count() - 1;
            long a = 0;

            for (int i = 0; i < (1 << k); i++)
            {
                var s = long.Parse(S[0].ToString());

                for (int j = 0; j < k; j++)
                {
                    // 前からjからjけた目の右側にプラスにが存在するかどうかを論理積とって判断する。
                    if ((i & (1 << j)) != 0)
                    {
                        a += s;
                        s = 0;
                    }

                    // + が存在しない場合は数字を積み上げるので１０倍し、合計に足さないで保持して次のけたの数字と連結
                    // ↑で＋されている場合は０なので単純に次けたの数値を取得しているだけ。
                    s = ((s * 10) +( long.Parse(S[j + 1].ToString())));

                }

                a += s;
            }
            Console.WriteLine(a);

            Console.ReadKey();
        }



        #region MyRegion

        public static int ReadInt()
        {
            return int.Parse(Console.ReadLine());
        }

        /// <summary>
        /// 空白区切の数値を取得する
        /// </summary>
        /// <returns>The read split int.</returns>
        public static int[] ReadSplitInt()
        {
            return Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray();
        }

        /// <summary>
        /// 空白区切の数値を取得
        /// </summary>
        /// <returns>The read split long.</returns>
        public static long[] ReadSplitLong()
        {
            return Console.ReadLine().Split(' ').Select(x => long.Parse(x)).ToArray();
        }


        public static int[][] ReadSplitIntLines(int n)
        {
            return Enumerable.Range(0, n).Select(x => ReadSplitInt()).ToArray();
        }

        public static long[][] ReadSplitLongLines(int n)
        {
            return Enumerable.Range(0, n).Select(x => ReadSplitLong()).ToArray();
        }

        public static long[][] ReadSplitLongLines(long n)
        {
            var ret = new List<long[]>();
            for (long i = 0; i < n; i++)
            {
                ret.Add(ReadSplitLong().ToArray());
            }

            return ret.ToArray();
        }

        #endregion

    }
}