#include <bits/stdc++.h>
using namespace std;

#define FOR(i,a,b) for(int i=(a);i<(b);i++)
#define REP(i,n) FOR(i,0,n)

int main() {
	while (true) {
		string str;
		getline(cin, str);
		int n = count(str.c_str(), str.c_str() + str.size(), ' ') + 1;
		vector<int> card(n);
		stringstream ss(str);
		REP(i, n) ss >> card[i];
		if (card[0] == 0) break;
		
		sort(card.begin(), card.end());
		int c = count(card.begin(), card.end(), 1);
		
		int score = 0;
		FOR(i, c, n) {
			if (card[i] > 10) score += 10;
			else score += card[i];
		}
		
		while (c--) {
			if (score + 11 > 21)
				score += 1;
			else if (abs(21 - (score + 1)) > abs(21 - (score + 11))) {
				if (score + 11 <= 21 - c)
					score += 11;
				else
					score += 1;
			}
			else
				score += 1;
		}
		if (score > 21) score = 0;
		
		cout << score << endl;
	}
	return 0;
}
### Prompt

Your challenge is to write a Cpp solution to the following problem:

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 <bits/stdc++.h>
using namespace std;

#define FOR(i,a,b) for(int i=(a);i<(b);i++)
#define REP(i,n) FOR(i,0,n)

int main() {
	while (true) {
		string str;
		getline(cin, str);
		int n = count(str.c_str(), str.c_str() + str.size(), ' ') + 1;
		vector<int> card(n);
		stringstream ss(str);
		REP(i, n) ss >> card[i];
		if (card[0] == 0) break;
		
		sort(card.begin(), card.end());
		int c = count(card.begin(), card.end(), 1);
		
		int score = 0;
		FOR(i, c, n) {
			if (card[i] > 10) score += 10;
			else score += card[i];
		}
		
		while (c--) {
			if (score + 11 > 21)
				score += 1;
			else if (abs(21 - (score + 1)) > abs(21 - (score + 11))) {
				if (score + 11 <= 21 - c)
					score += 11;
				else
					score += 1;
			}
			else
				score += 1;
		}
		if (score > 21) score = 0;
		
		cout << score << endl;
	}
	return 0;
}
```