Problem: This is the easy version of the problem. The difference between the versions is in the number of possible operations that can be made. You can make hacks if and only if you solved both versions of the problem.

You are given a binary table of size n × m. This table consists of symbols 0 and 1.

You can make such operation: select 3 different cells that belong to one 2 × 2 square and change the symbols in these cells (change 0 to 1 and 1 to 0).

Your task is to make all symbols in the table equal to 0. You are allowed to make at most 3nm operations. You don't need to minimize the number of operations.

It can be proved that it is always possible.

Input

The first line contains a single integer t (1 ≤ t ≤ 5000) — the number of test cases. The next lines contain descriptions of test cases.

The first line of the description of each test case contains two integers n, m (2 ≤ n, m ≤ 100).

Each of the next n lines contains a binary string of length m, describing the symbols of the next row of the table.

It is guaranteed that the sum of nm for all test cases does not exceed 20000.

Output

For each test case print the integer k (0 ≤ k ≤ 3nm) — the number of operations.

In the each of the next k lines print 6 integers x_1, y_1, x_2, y_2, x_3, y_3 (1 ≤ x_1, x_2, x_3 ≤ n, 1 ≤ y_1, y_2, y_3 ≤ m) describing the next operation. This operation will be made with three cells (x_1, y_1), (x_2, y_2), (x_3, y_3). These three cells should be different. These three cells should belong into some 2 × 2 square.

Example

Input


5
2 2
10
11
3 3
011
101
110
4 4
1111
0110
0110
1111
5 5
01011
11001
00010
11011
10000
2 3
011
101


Output


1
1 1 2 1 2 2
2 
2 1 3 1 3 2
1 2 1 3 2 3
4
1 1 1 2 2 2 
1 3 1 4 2 3
3 2 4 1 4 2
3 3 4 3 4 4
4
1 2 2 1 2 2 
1 4 1 5 2 5 
4 1 4 2 5 1
4 4 4 5 3 4
2
1 3 2 2 2 3
1 2 2 1 2 2

Note

In the first test case, it is possible to make only one operation with cells (1, 1), (2, 1), (2, 2). After that, all symbols will be equal to 0.

In the second test case:

  * operation with cells (2, 1), (3, 1), (3, 2). After it the table will be: 
    
          
    011  
    001  
    000  
    

  * operation with cells (1, 2), (1, 3), (2, 3). After it the table will be: 
    
          
    000  
    000  
    000  
    




In the fifth test case:

  * operation with cells (1, 3), (2, 2), (2, 3). After it the table will be: 
    
          
    010  
    110  
    

  * operation with cells (1, 2), (2, 1), (2, 2). After it the table will be: 
    
          
    000  
    000  
    

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
import java.util.LinkedList;
import java.util.stream.Collectors;
import java.util.stream.IntStream;
/*
        author : Aditya Aggarwal

        ' The Dawn does not come twice to awaken the man '  ---->>> By my brother ( My Motivation )

        Believe In yourself, Everything is possible.

        Never Give Up
 */

public class Main {

    static class FastReader
    {
        BufferedReader br;
        StringTokenizer st;

        public FastReader()
        {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        }

        String next()
        {
            while (st == null || !st.hasMoreElements())
            {
                try
                {
                    st = new StringTokenizer(br.readLine());
                }
                catch (IOException e)
                {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt()
        {
            return Integer.parseInt(next());
        }

        long nextLong()
        {
            return Long.parseLong(next());
        }

        double nextDouble()
        {
            return Double.parseDouble(next());
        }

        String nextLine()
        {
            String str = "";
            try
            {
                str = br.readLine();
            }
            catch (IOException e)
            {
                e.printStackTrace();
            }
            return str;
        }
    }

    static class Reader
    {
        final private int BUFFER_SIZE = 1 << 16;
        private final DataInputStream din;
        private final 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[64]; // 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();
        }
    }

    static int MOD = (int) (1e9 + 7);

    static long powerLL(long x, long n)
    {
        long result = 1;
        while (n > 0)
        {
            if (n % 2 == 1)
            {
                result = result * x % MOD;
            }
            n = n / 2;
            x = x * x % MOD;
        }
        return result;
    }

    static long powerStrings(String sa, String sb)
    {
        long a = 0, b = 0;

        for (int i = 0; i < sa.length(); i++)
        {
            a = (a * 10 + (sa.charAt(i) - '0')) %
                    MOD;
        }

        for (int i = 0; i < sb.length(); i++)
        {
            b = (b * 10 + (sb.charAt(i) - '0')) %
                    (MOD - 1);
        }

        return powerLL(a, b);
    }

    static long gcd(long a, long b)
    {
        if (a==0) return b;
        else return gcd(b%a,a);
    }

    static long lcm(long a, long b)
    {
        return (a*b)/gcd(a,b);
    }

    static int lower_bound(List<Integer> list, int k)
    {
        int s = 0;
        int e = list.size();

        while (s!=e)
        {
            int mid = (s+e)>>1;

            if (list.get(mid)<k) s = mid+1;
            else e = mid;
        }

        if (s == list.size()) return -1;
        return s;
    }

    static int upper_bound(List<Integer> list, int k)
    {
        int s = 0;
        int e = list.size();

        while (s!=e)
        {
            int mid = (s+e)>>1;

            if (list.get(mid)<=k) s = mid+1;
            else e = mid;
        }

        if (s == list.size()) return -1;
        return s;
    }

    static void addEdge(ArrayList<ArrayList<Integer>>graph, int edge1, int edge2)
    {
        graph.get(edge1).add(edge2);
        graph.get(edge2).add(edge1);
    }

    static class Pair<X,Y>
    {
        public final X first;
        public final Y second;

        Pair(X first, Y second)
        {
            this.first = first;
            this.second = second;
        }

        public static <X,Y> Pair <X,Y> of (X a, Y b)
        {
            return new Pair<>(a,b);
        }

        public String toString()
        {
            return "("+first+","+second+")";
        }
    }

    public static void main(String[] args) throws java.lang.Exception
    {
        try
        {
            FastReader fr = new FastReader();
            //Reader fr = new Reader();

            try (OutputStream out = new BufferedOutputStream(System.out))
            {
                int testcases = fr.nextInt();

                while (testcases -- > 0)
                {
                    int n = fr.nextInt();
                    int m = fr.nextInt();

                    List<String> list = new ArrayList<>();

                    for (int i=0;i<n;i++) list.add(fr.nextLine());

                    ArrayList<ArrayList<Integer>> finalList = new ArrayList<>();

                    for (int i=0;i<n;i++)
                    {
                        for (int j=0;j<m;j++)
                        {
                            String s = list.get(i);
                            char c = s.charAt(j);

                            if (c == '1')
                            {
                                if (i!=n-1 && j!=m-1)
                                {
                                    finalList.add(new ArrayList<>());
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i+1);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i+1);
                                    finalList.get(finalList.size()-1).add(j+1);

                                    finalList.add(new ArrayList<>());
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j+1);
                                    finalList.get(finalList.size()-1).add(i+1);
                                    finalList.get(finalList.size()-1).add(j+1);

                                    finalList.add(new ArrayList<>());
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i+1);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j+1);
                                }
                                else if (i==n-1 && j!=m-1)
                                {
                                    finalList.add(new ArrayList<>());
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j+1);
                                    finalList.get(finalList.size()-1).add(i-1);
                                    finalList.get(finalList.size()-1).add(j+1);

                                    finalList.add(new ArrayList<>());
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i-1);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i-1);
                                    finalList.get(finalList.size()-1).add(j+1);

                                    finalList.add(new ArrayList<>());
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i-1);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j+1);
                                }
                                else if (i!=n-1 && j==m-1)
                                {
                                    finalList.add(new ArrayList<>());
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j-1);
                                    finalList.get(finalList.size()-1).add(i+1);
                                    finalList.get(finalList.size()-1).add(j-1);

                                    finalList.add(new ArrayList<>());
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i+1);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i+1);
                                    finalList.get(finalList.size()-1).add(j-1);

                                    finalList.add(new ArrayList<>());
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j-1);
                                    finalList.get(finalList.size()-1).add(i+1);
                                    finalList.get(finalList.size()-1).add(j);
                                }
                                else
                                {
                                    finalList.add(new ArrayList<>());
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j-1);
                                    finalList.get(finalList.size()-1).add(i-1);
                                    finalList.get(finalList.size()-1).add(j-1);

                                    finalList.add(new ArrayList<>());
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i-1);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i-1);
                                    finalList.get(finalList.size()-1).add(j-1);

                                    finalList.add(new ArrayList<>());
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j);
                                    finalList.get(finalList.size()-1).add(i);
                                    finalList.get(finalList.size()-1).add(j-1);
                                    finalList.get(finalList.size()-1).add(i-1);
                                    finalList.get(finalList.size()-1).add(j);
                                }
                            }
                        }
                    }

                    int len = finalList.size();

                    out.write((len+"\n").getBytes());

                    for (int i=0;i<len;i++)
                    {
                        for (int j=0;j<6;j++)
                        {
                            int ans = finalList.get(i).get(j)+1;

                            out.write((ans+" ").getBytes());
                        }

                        out.write(("\n").getBytes());
                    }
                }
            }
        }
        catch(Exception e){}
        finally{}
    }
}


//(()) () (()((()()()())))