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.util.*;
import java.io.*;

public class A622 {
	final static int MOD = 1000000007;
	final static int intMax = 1000000000;
	final static int intMin = -1000000000;
	final static int[] DX = { 0, 0, -1, 1 };
	final static int[] DY = { -1, 1, 0, 0 };

	static int T;

	static class Reader {
		final private int BUFFER_SIZE = 1 << 16;
		private DataInputStream din;
		private byte[] buffer;
		private int bufferPointer, bytesRead;

		public Reader() {
			din = new DataInputStream(System.in);
			buffer = new byte[BUFFER_SIZE];
			bufferPointer = bytesRead = 0;
		}

		public Reader(String file_name) throws IOException {
			din = new DataInputStream(new FileInputStream(file_name));
			buffer = new byte[BUFFER_SIZE];
			bufferPointer = bytesRead = 0;
		}

		public String readLine() throws IOException {
			byte[] buf = new byte[360]; // line length
			int cnt = 0, c;
			while ((c = read()) != -1) {
				if (c == '\n')
					break;
				buf[cnt++] = (byte) c;
			}
			return new String(buf, 0, cnt);
		}

		public 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;
		}

		public 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;
		}

		public double nextDouble() throws IOException {
			double ret = 0, div = 1;
			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 (c == '.') {
				while ((c = read()) >= '0' && c <= '9') {
					ret += (c - '0') / (div *= 10);
				}
			}

			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 void close() throws IOException {
			if (din == null)
				return;
			din.close();
		}
	}

	public static void main(String[] args) throws Exception {
		Reader in = new Reader();
//		Reader in = new Reader(".in");
		PrintWriter out = new PrintWriter(new File(".out"));
		T = in.nextInt();
		for(int t = 0; t != T; ++t) {
			int a = in.nextInt();
			int b = in.nextInt();
			int c = in.nextInt();
			int amt = 0;
			if(a > 0) {
				--a; ++amt;
			}
			if(b > 0) {
				--b; ++amt;
			}
			if(c > 0) {
				--c; ++amt;
			}
			int types = 0;
			int count2 = 0;
			if(a > 0) {
				++types; count2 += a;
			}
			if(b > 0) {
				++types; count2 += b;
			}
			if(c > 0) {
				++types; count2 += c;
			}
			if(types == 0 || types == 1) {
				System.out.println(amt);
				continue;
			}
			else if(types == 2) {
				if(a > 0 && b > 0) {
					--a; --b; ++amt;
				}
				if(a > 0 && c > 0) {
					--a; --c; ++amt;
				}
				if(b > 0 && c > 0) {
					--b; --c; ++amt;
				}
			}
			else if(types == 3) {
				if(count2 == 3) {
					++amt; System.out.println(amt);
					continue;
				}
				else if(count2 == 4 || count2 == 5 || a == 1 || b == 1 || c == 1) {
					amt+=2; System.out.println(amt);
					continue;
				}
				else {
					amt+=3; --a; --b; --c;
					--a; --b; --c;
				}
			}
			if(a > 0 && b > 0 && c > 0) {
				++amt;
			}
			System.out.println(amt);
		}
		in.close();
		out.close();
	}

}