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.*;

public class QA
{
	private static class Reader 
    { 
        final private int BUFFER_SIZE = 1 << 512; 
        private DataInputStream din; 
        private byte[] buffer; 
        private int bufferPointer, bytesRead; 
  
        private Reader() 
        { 
            din = new DataInputStream(System.in); 
            buffer = new byte[BUFFER_SIZE]; 
            bufferPointer = bytesRead = 0; 
        } 
        
        private long nextLong() throws IOException 
        { 
            long ret = 0; 
            byte c = read(); 
            while (c <= ' ')
            {
                c = read(); 
            }
            
            boolean neg = (c == '-'); 
            if (neg) 
            {
                c = read();
            }
            
            do 
            { 
                ret = ret * 10 + c - '0'; 
            } 
            while ((c = read()) >= '0' && c <= '9');
            
            if (neg) 
            {
                return -ret; 
            }
            return ret; 
        }
  
        private int nextInt() throws IOException 
        { 
            int ret = 0; 
            byte c = read(); 
            while (c <= ' ') 
            {
                c = read(); 
            }
            
            boolean neg = (c == '-');
            
            if (neg) 
            {
                c = read(); 
            }
            do
            { 
               ret = ret * 10 + c - '0'; 
            }  
            while ((c = read()) >= '0' && c <= '9'); 
  
            if (neg) 
            {
                return -ret; 
            }
            return ret; 
        }
          
        private void fillBuffer() throws IOException 
        { 
            bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE); 
            if (bytesRead == -1) 
            {
                buffer[0] = -1; 
            }
        } 
  
        private byte read() throws IOException 
        { 
            if (bufferPointer == bytesRead) 
            {
                fillBuffer(); 
            }
            return buffer[bufferPointer++]; 
        } 
    }
	
	public static void main(String args[]) throws Exception
	{
		Reader reader=new Reader();
		PrintWriter printWriter=new PrintWriter(new BufferedOutputStream(System.out));
		int T=reader.nextInt();
		while (T-->0)
		{
			int a=reader.nextInt();
			int b=reader.nextInt();
			int c=reader.nextInt();
			int ans=0;
			if(a==0 && b==0 && c==0)
			{
				ans=0;
			}
			else if(a>=4 && b>=4 && c>=4)
			{
				ans=7;
			}
			else 
			{
				if(a>=3 && b>=3 && c>=3)
				{
					ans=6;
				}
				else if(a>=2 && b>=2 && c>=2)
				{
					if((b>2) || (a>2) || (c>2))
					{
						ans=5;
					}
					else 
					{
						ans=4;
					}
				}
				else if(a>=1 && b>=1 && c>=1)
				{
					if((a>1 && b>1) || (a>1 && c>1) || (c>1 && b>1))
					{
						ans=4;
					}
					else 
					{
						ans=3;
					}
				}
				else 
				{
					if((a>1 && b>1) || (a>1 && c>1) || (c>1 && b>1))
					{
						ans=3;
					}
					else if((a>=1 && b>=1) || (a>=1 && c>=1) || (c>=1 && b>=1))
					{
						ans=2;
					}
					else 
					{
						ans=1;
					}
				}
			}
			printWriter.println(ans);
		}
		printWriter.flush();
	}
}
