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 PyPy3 (2.4.0) (judge verdict: Accepted)

import sys
import string
import time


def input():
    return sys.stdin.readline().rstrip()


def I():
    return int(input())


def S():
    return input()


def MI():
    return map(int, input().split())


def MS():
    return map(str, input().split())


def LI():
    return list(map(int, input().split()))


def LI_():
    return [int(i) - 1 for i in input().split()]


def StoI():
    return [ord(i) - 97 for i in input()]


def ItoS(nn):
    return chr(nn + 97)


N = {False: 'No', True: 'Yes'}
MOD = 10 ** 9 + 7
inf = float('inf')
IINF = 10 ** 10
l_alp = string.ascii_lowercase
u_alp = string.ascii_uppercase
ts = time.time()
# sys.setrecursionlimit(10 ** 6)
nums = ['1', '2', '3', '4', '5', '6', '7', '8', '9', '10']


def main():
    s = S()
    ans = 0
    # there're 2^(n-1) patterns
    for i in range(2 ** (len(s) - 1)):
        idx = 0
        rng = 1
        # we must scan all spaces between each number
        for n in range(len(s) - 1):
            if (1 << n) & i:
                ans += int(s[idx:idx + rng])
                idx += rng
                rng = 1
            else:
                rng += 1
        ans += int(s[idx:idx + rng])
    print(ans)


if __name__ == '__main__':
    main()