Tired of boring office work, Denis decided to open a fast food restaurant.

On the first day he made a portions of dumplings, b portions of cranberry juice and c pancakes with condensed milk.

The peculiarity of Denis's restaurant is the procedure of ordering food. For each visitor Denis himself chooses a set of dishes that this visitor will receive. When doing so, Denis is guided by the following rules:

  * every visitor should receive at least one dish (dumplings, cranberry juice, pancakes with condensed milk are all considered to be dishes); 
  * each visitor should receive no more than one portion of dumplings, no more than one portion of cranberry juice and no more than one pancake with condensed milk; 
  * all visitors should receive different sets of dishes. 



What is the maximum number of visitors Denis can feed?

Input

The first line contains an integer t (1 ≤ t ≤ 500) — the number of test cases to solve.

Each of the remaining t lines contains integers a, b and c (0 ≤ a, b, c ≤ 10) — the number of portions of dumplings, the number of portions of cranberry juice and the number of condensed milk pancakes Denis made.

Output

For each test case print a single integer — the maximum number of visitors Denis can feed.

Example

Input

7
1 2 1
0 0 0
9 1 7
2 2 3
2 3 2
3 2 2
4 4 4


Output

3
0
4
5
5
5
7

Note

In the first test case of the example, Denis can feed the first visitor with dumplings, give the second a portion of cranberry juice, and give the third visitor a portion of cranberry juice and a pancake with a condensed milk.

In the second test case of the example, the restaurant Denis is not very promising: he can serve no customers.

In the third test case of the example, Denise can serve four visitors. The first guest will receive a full lunch of dumplings, a portion of cranberry juice and a pancake with condensed milk. The second visitor will get only dumplings. The third guest will receive a pancake with condensed milk, and the fourth guest will receive a pancake and a portion of dumplings. Please note that Denis hasn't used all of the prepared products, but is unable to serve more visitors.
import java.io.*;
import java.util.Arrays;
import java.util.StringTokenizer;

public class A {
    public static void main(String[] args) throws IOException {
        PrintWriter out = new PrintWriter(new OutputStreamWriter(System.out));
        InputReader re=new InputReader(System.in);
        int t=re.nextInt();
        while (t-->0){
            int a=re.nextInt();
            int b=re.nextInt();
            int c=re.nextInt();
            int res=0;
            if(a>0){res++;a--;}
            if(b>0){res++;b--;}
            if(c>0){res++;c--;}
            int max=getMax(2,a,b,c);
            res+=max<0?0:max;
            out.println(res);
        }
        out.flush();
    }
    public static int getMax(int num,int a,int b,int c){
        int max=Integer.MIN_VALUE;
        if(a<0||b<0||c<0) return max;
        max=0;
         switch (num){
            case 2:
                max=Math.max(max,getMax(num+1,a-2,b-2,c-2)+3);
                max=Math.max(max,getMax(num+1,a-1,b-1,c-2)+2);
                max=Math.max(max,getMax(num+1,a-2,b-1,c-1)+2);
                max=Math.max(max,getMax(num+1,a-1,b-2,c-1)+2);
                max=Math.max(max,getMax(num+1,a-1,b,c-1)+1);
                max=Math.max(max,getMax(num+1,a,b-1,c-1)+1);
                max=Math.max(max,getMax(num+1,a-1,b-1,c)+1);
                break;
            case 3:
                if(a>0&&b>0&&c>0) max=1;
                break;
        }
        return max;
    }
    static class InputReader{
        private BufferedReader in;
        private StringTokenizer tokenizer;
        public InputReader(InputStream stream){
            in = new BufferedReader(new InputStreamReader(stream),32768);
            tokenizer = null;
        }
        public String next() throws IOException{
            while(tokenizer==null || !tokenizer.hasMoreTokens()){
                tokenizer = new StringTokenizer(in.readLine());
            }
            return tokenizer.nextToken();
        }
        public Long nextLong() throws IOException {
            String next = next();
            return Long.valueOf(next);
        }
        public int nextInt() throws IOException{
            return Integer.valueOf(next());
        }
    }
}