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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.Scanner;

/**
 * ARC061C_Many_Formulas
 */
public class Main {
    private static Scanner sc;

    public static void main(String[] args) {
        sc = new Scanner(System.in);

        String S = sc.next();

        int length = S.length() - 1; // 文字列の間に"+"を入れるかどうか、文字列の間の数
        int tmp = 0;
        long answer = 0;
        for (int i = 0; i < (1 << length); i++) {
            // パターン1つ1つの繰り返し区切り場所をリセット
            tmp = 0;
            for (int j = 0; j < length; j++) {
                // 場所ごとの組み合わせで対応が異なる処理を入れる
                // 0ならなにもせず、1なら+を入れて区切り場所を移動
                if ((i >> j) % 2 == 1) {
                    // "+"を入れる場合
                    answer += Long.parseLong(S.substring(tmp, j + 1));
                    tmp = j + 1; // 区切りの位置を更新
                }
            }
            // 残りの文字列部分全てを計算する
            answer += Long.parseLong(S.substring(tmp));
        }

        System.out.println(answer);

        sc.close();
    }
}