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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.*;
import java.math.BigDecimal;
import java.math.BigInteger;
import java.util.*;
import java.util.Arrays;
import java.util.StringTokenizer;
import java.util.function.*;
import java.util.stream.*;


public class A {

    private static final FastReader in = new FastReader();
    private static final FastWriter out = new FastWriter();

    public static void main(String[] args) {
        new A().run();
    }

    private void run() {
        var t = in.nextInt();
        while (t-- > 0) {
            solve();
        }

        out.flush();
    }

    private void solve() {
        var arr = in.nextIntArray(3);
        Arrays.sort(arr);

        var a = arr[2];
        var b = arr[1];
        var c = arr[0];

        var ans = 0;

        if (a > 0) {
            ans++;
            a--;
        }
        if (b > 0) {
            ans++;
            b--;
        }
        if (c > 0) {
            ans++;
            c--;
        }
        if (a > 0 && b > 0) {
            ans++;
            a--;
            b--;
        }
        if (a > 0 && c > 0) {
            ans++;
            a--;
            c--;
        }
        if (b > 0 && c > 0) {
            ans++;
            b--;
            c--;
        }
        if (a > 0 & b > 0 & c > 0) {
            ans++;
            a--;
            b--;
            c--;
        }

        out.println(ans);
    }

}


class FastReader {

    private static final BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    private static StringTokenizer in;

    public String next() {
        while (in == null || !in.hasMoreTokens()) {
            try {
                in = new StringTokenizer(br.readLine());
            } catch (IOException e) {
                return null;
            }
        }
        return in.nextToken();
    }

    public BigDecimal nextBigDecimal() {
        return new BigDecimal(next());
    }

    public BigInteger nextBigInteger() {
        return new BigInteger(next());
    }

    public boolean nextBoolean() {
        return Boolean.valueOf(next());
    }

    public byte nextByte() {
        return Byte.valueOf(next());
    }

    public double nextDouble() {
        return Double.valueOf(next());
    }

    public double[] nextDoubleArray(int length) {
        var a = new double[length];
        for (var i = 0; i < length; i++) {
            a[i] = nextDouble();
        }
        return a;
    }

    public int nextInt() {
        return Integer.valueOf(next());
    }

    public int[] nextIntArray(int length) {
        var a = new int[length];
        for (var i = 0; i < length; i++) {
            a[i] = nextInt();
        }
        return a;
    }

    public long nextLong() {
        return Long.valueOf(next());
    }

    public long[] nextLongArray(int length) {
        var a = new long[length];
        for (var i = 0; i < length; i++) {
            a[i] = nextLong();
        }
        return a;
    }

}


class FastWriter extends PrintWriter {

    public FastWriter() {
        super(System.out);
    }

    public void println(double[] a) {
        for (var i = 0; i < a.length; i++) {
            print(a[i]);
            print(i + 1 < a.length ? ' ' : '\n');
        }
    }

    public void println(int[] a) {
        for (var i = 0; i < a.length; i++) {
            print(a[i]);
            print(i + 1 < a.length ? ' ' : '\n');
        }
    }

    public void println(long[] a) {
        for (var i = 0; i < a.length; i++) {
            print(a[i]);
            print(i + 1 < a.length ? ' ' : '\n');
        }
    }

    public <T> void println(T[] a) {
        for (var i = 0; i < a.length; i++) {
            print(a[i]);
            print(i + 1 < a.length ? ' ' : '\n');
        }
    }

    public void debug(String name, Object o) {
        String value = Arrays.deepToString(new Object[] { o });
        value = value.substring(1, value.length() - 1);
        System.err.println(name + " => " + value);
    }

}
