200610: [AtCoder]ARC061 C - Many Formulas

Memory Limit：256 MB Time Limit：2 S
Judge Style：Text Compare Creator：
Submit：0 Solved：0

Description

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

Input

题意翻译

**Translated by [aoweiyin](https://www.luogu.org/space/show?uid=77834)** ## 题意翻译 有一个仅由字符```1```到```9```构成的字符串$S(1\leq |S|\leq 10)$，让你在中间添加```+```，使其变成一个加式。求所有方案的和值（详见样例解释）。 #### 样例解释1： 输入```125```,输出```176```. 有4种： - 125 - 1+25=26 - 12+5=17 - 1+2+5=8

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