#include <iostream>
#include <sstream>
#include <string>
#include <vector>
#include <cstdlib>
#include <algorithm>
using namespace std;

int main() {
  while( 1 ) {
    string line;
    getline( cin, line );
    vector<int> cards;
    istringstream iss(line);
    string item;
    while( iss >> item ) {
      cards.push_back( atoi( item.c_str() ) );
    }
    if( !cards[ 0 ] ) { return EXIT_SUCCESS; }
    sort( cards.begin(), cards.end() );
    int one_num = 0;
    for( ; cards[ one_num ] == 1; one_num++ ); // counts '1' cards
      
    int len = cards.size();
    int sum = 0;
    for( int i = 0; i < len; i++ ) {
      sum += min( cards[ i ], 10 );
    }
    sum = ( sum > 21 ? 0 : sum ); 
    while( sum != 0 && one_num > 0 ) {
      if( sum + 10 > 21 ) break;
      sum += 10;
      one_num--;
    }
    cout << sum << endl;
  }
}
### Prompt

Develop a solution in cpp to the problem described below:

Blackjack is a type of card game played in casinos, where the game is played using cards with numbers from 1 to 13. The score of each card is decided as follows.

* 1 is 1 point or 11 points
* From 2 to 9, the score is as written.
* 10 points from 10 to 13



There are several participants in this game, including parents, each with several sets of cards. This set of cards is called a hand. The hand score is the total of the card scores. The calculation shall be performed as follows.

* If the total score of the cards is greater than 21, the score of the hand is set to 0.
* As the score of the card, 1 may be calculated as 1 point or 11 points, but the one with the maximum hand score shall be selected.



Create a program that uses the information of the cards dealt as input and outputs the score of the hand.



Input

A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format:


c1 c2 ... cn


The integer ci (1 ≤ ci ≤ 13) written on the i-th card is given to each line, separated by blanks. The number of cards n does not exceed 100.

The number of datasets does not exceed 200.

Output

The score of the hand is output to one line for each data set.

Example

Input

1
7 7 7
7 7 8
12 1
10 1 1
0


Output

11
21
0
21
12

### Response

```cpp
#include <iostream>
#include <sstream>
#include <string>
#include <vector>
#include <cstdlib>
#include <algorithm>
using namespace std;

int main() {
  while( 1 ) {
    string line;
    getline( cin, line );
    vector<int> cards;
    istringstream iss(line);
    string item;
    while( iss >> item ) {
      cards.push_back( atoi( item.c_str() ) );
    }
    if( !cards[ 0 ] ) { return EXIT_SUCCESS; }
    sort( cards.begin(), cards.end() );
    int one_num = 0;
    for( ; cards[ one_num ] == 1; one_num++ ); // counts '1' cards
      
    int len = cards.size();
    int sum = 0;
    for( int i = 0; i < len; i++ ) {
      sum += min( cards[ i ], 10 );
    }
    sum = ( sum > 21 ? 0 : sum ); 
    while( sum != 0 && one_num > 0 ) {
      if( sum + 10 > 21 ) break;
      sum += 10;
      one_num--;
    }
    cout << sum << endl;
  }
}
```