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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cstring>
#include <string>
#include <stack>
#include <queue>
#include <vector>
#include <set>
#include <cmath>
#include <cstdlib>
#define FOR(i,a,b) for(int i=a;i<b;i++)
#define MA(i,j) make_pair(i,j)
#define PA pair<int,int>
#define PB push_back
#define PQ priority_queue<int>
#define PGQ priority_queue<int,vector<int>,greater<int> >
#define VE vector<int>
#define VP vector<PA>
#define YES(i) cout<<(i?"YES":"NO")<<endl
#define Yes(i) cout<<(i?"Yes":"No")<<endl
#define MOD 1000000007
#define INF 1000000007
#define PI 3.14159265358979323846
using namespace std;
//
int main(){
  string S;
  long long cnt=0;
  cin>>S;
  for(int i=0;i<S.size();i++){
    for(int j=i;j<S.size();j++){
      long long num=stoll(S.substr(i,j-i+1));
      long long K=1;
      if(i==0){
        K*=1;
      }else{
        K*=(1<<(i-1));
      }
      long long L=S.size()-j-1;
      if(L==0){
        K*=1;
      }else{
        K*=(1<<(L-1));
      }
      cnt+=num*K;
    }
  }
  cout<<cnt<<endl;
  return 0;
}