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.util.*;
import java.math.*;
import java.io.*; 
 public class A{

static FastReader scan=new FastReader();
 public static PrintWriter out = new PrintWriter (new BufferedOutputStream(System.out));
  static LinkedList<Integer>edges[];
  static boolean stdin = true;
    static String filein = "input";
    static String fileout = "output";
static int dx[] = { -1, 0, 1, 0 };
static int dy[] = { 0, 1, 0, -1 };
int dx_8[]={1,1,1,0,0,-1,-1,-1};
int dy_8[]={-1,0,1,-1,1,-1,0,1};
static char sts[]={'U','R','D','L'};
static boolean prime[];
static long LCM(long a,long b){
    return (Math.abs(a*b))/gcd(a,b);
   }
    public static int upperBound(long[] array, int length, long value) {
        int low = 0;
        int high = length;
        while (low < high) {
            final int mid = low+(high-low) / 2;
            if ( array[mid]>value) {
                high = mid ;
            } else {
                low = mid+1;
            }
        }
        return low;
    }
   static long gcd(long a, long b) {
    if(a!=0&&b!=0)
        while((a%=b)!=0&&(b%=a)!=0);
    return a^b;
}
static int countSetBits(int n) 
    { 
        int count = 0; 
        while (n > 0) { 
            if((n&1)!=1)
                count++;
            //count += n & 1; 
            n >>= 1; 
        } 
        return count; 
    } 
 static void sieve(long n) 
    { 
        
        prime = new boolean[(int)n+1]; 
        for(int i=0;i<n;i++) 
            prime[i] = true; 
          
        for(int p = 2; p*p <=n; p++) 
        { 
           
            if(prime[p] == true) 
            { 
                
                for(int i = p*p; i <= n; i += p) 
                    prime[i] = false; 
            } 
        } 
    }  
  
 
 
           static boolean isprime(long x)
           {
            for(long i=2;i*i<=x;i++)
                if(x%i==0)
                    return false;
                return true;
           }
           static int perm=0,FOR=0;
           
     

static boolean flag=false;
static int len=100000000;

static ArrayList<Pair>inters=new ArrayList<Pair>();





static StringBuilder sb;
static void swap(int i,int j,StringBuilder st)
{
    char tmp=st.charAt(i);
    st.setCharAt(i,st.charAt(j));
    st.setCharAt(j,tmp);
}


 private static int next(int[] arr, int target)  
    {  
        int start = 0, end = arr.length - 1;  
    
        int ans = -1;  
        while (start <= end) {  
            int mid = (start + end) / 2;  
    
            // Move to right side if target is  
            // greater.  
            if(arr[mid]==target)
                return mid;
            if (arr[mid] <target) {  
                start = mid + 1;  
            }  
    
            // Move left side.  
            else {  
                ans = mid;  
                end = mid - 1;  
            }  
        }  
        return ans;  
    }  
//static boolean vis[][];
    static long solve(int h,long n,int cur)
    {
        if(h==0)
            return 0;
        long half=1L<<(h-1);
        if(n<=half)
        {
            if((cur^1)==0)
                return 1+solve(h-1,n,0);
            else 
                return 2*half+solve(h-1,n,0);
        }
        else 
        {
              if((cur^1)==0)
             return 2*half+solve(h-1,n-half,1);
            else 
                return 1+solve(h-1,n-half,1);
        }
    }

  
public static class comp1 implements Comparator<String>{  
public int compare(String o1,String o2){
return o1.length()-o2.length(); 
}
  }
  public static class comp2 implements Comparator<String>{  
public int compare(String o1,String o2){
return o1.compareTo(o2); 
}
  }
  static StringBuilder a,b;

    static boolean isPowerOfTwo(int n)
{
    if(n==0)
    return false;
 
return (int)(Math.ceil((Math.log(n) / Math.log(2)))) == 
       (int)(Math.floor(((Math.log(n) / Math.log(2)))));
}
static ArrayList<Integer>v;
static ArrayList<Integer>pows;
static void block(long x) 
{ 
   v = new ArrayList<Integer>(); 
      
    pows=new ArrayList<Integer>();
   
    while (x > 0)  
    { 
        v.add((int)x % 3); 
        x = x / 3; 
    } 
  
    // Displaying the output when 
    // the bit is '1' in binary 
    // equivalent of number. 
    for (int i = 0; i < v.size(); i++)  
    { 
        if (v.get(i)==1||v.get(i)==0)  
        { 
      pows.add(i); 

        } 
    } 

} 


   static long mod=(long)(1e9)+7;
    static int countWaysUtil(int x, int n, int num) 
    { 
        // Base cases 
        int val = (int) (x - Math.pow(num, n)); 
        if (val == 0) 
            return 1; 
        if (val < 0) 
            return 0; 
       
        // Consider two possibilities, num is 
        // included and num is not included. 
        return countWaysUtil(val, n, num + 1) + 
               countWaysUtil(x, n, num + 1); 
    }
       static int countWays(int x, int n) 
    { 
        return countWaysUtil(x, n, 1); 
    } 
    static int dp[][];
    static int n;
    static int arr[];
        static int rec(int i,int prev)
        {
            if(i==n)
                return 0;
            if(dp[i][prev]!=-1){
                //out.println("FUCK");
                return dp[i][prev];
            }
            if(i==0)
                return dp[i][prev]=Math.max(rec(i+1,1),rec(i+1,0));
            else 
            return dp[i][prev]=Math.max(rec(i+1,0)+Math.abs(arr[i]-(prev==0?arr[i-1]:1)),rec(i+1,1)+Math.abs(1-(prev==0?arr[i-1]:1)));
        }
        static boolean can(int i,int j)
        {
            int x=i,y=j;
            int x2=Math.abs(y-x),y2=y+x;
            if(x>=x2&&y<=y2)
                return true;
            return false;
        }
public static void main(String[] args)  throws Exception 
{
//SUCK IT UP AND DO IT ALRIGHT
//scan=new FastReader("div7.in");
//out = new PrintWriter("div7.out");
   //System.out.println(countSetBits(2015));
    //int elem[]={1,2,3,4,5};
//System.out.println("avjsmlfpb".compareTo("avjsmbpfl"));
int tt=1;

/*for(int i=0;i<=100;i++)
    if(prime[i])
        arr.add(i);
    System.out.println(arr.size());*/
   // check(new StringBuilder("05:11"));
   // System.out.println(26010000000000L%150);
   tt=scan.nextInt();

outer:while(tt-->0)
{
 int n=scan.nextInt(),m=scan.nextInt();
 char board[][]=new char[n][m];
 for(int i=0;i<n;i++)
    board[i]=scan.next().toCharArray();
ArrayList<Pair>res[]=new ArrayList[3*n*m];
for(int i=0;i<3*n*m;i++)
res[i]=new ArrayList();
int k=0;
for(int i=0;i<n;i++)
{
    for(int j=0;j<m;j++)
    {
        ArrayList<Pair>arr=new ArrayList<Pair>();
        ArrayList<Pair>arr2=new ArrayList<Pair>();
        if(i+1<n&&j+1<m)
        {
            if(board[i][j]=='1')
                arr.add(new Pair(i,j));
            else arr2.add(new Pair(i,j));
            if(board[i][j+1]=='1')
                arr.add(new Pair(i,j+1));
            else  arr2.add(new Pair(i,j+1));
            
            if(board[i+1][j]=='1')
                arr.add(new Pair(i+1,j));
            else arr2.add(new Pair(i+1,j));
            if(board[i+1][j+1]=='1')
                arr.add(new Pair(i+1,j+1));
            else arr2.add(new Pair(i+1,j+1));
            if(arr.size()==3)
            {
                for(Pair p:arr){
                    board[p.x][p.y]='0';
                    res[k].add(new Pair(p.x,p.y));
                }
                k++;
            }
            else if(arr.size()==2)
            {
                for(Pair p:arr2)
                {
                    board[p.x][p.y]='1';
                     res[k].add(new Pair(p.x,p.y));
                }
                //k++;
                Pair p=arr.get(0);
                board[p.x][p.y]='0';
                res[k].add(new Pair(p.x,p.y));
                k++;
                for(Pair pp:arr2)
                {
                    board[pp.x][pp.y]='0';
                    res[k].add(new Pair(pp.x,pp.y));
                }
                p=arr.get(1);
                board[p.x][p.y]='0';
                res[k].add(new Pair(p.x,p.y));
                k++;
            }
            else if(arr.size()==1)
            {
                Pair p=arr.get(0);
                Pair tmp=new Pair(p.x,p.y);
                board[p.x][p.y]='0';
                res[k].add(new Pair(p.x,p.y));
                p=arr2.get(1);
                 board[p.x][p.y]='1';
                res[k].add(new Pair(p.x,p.y));
                  p=arr2.get(2);
                 board[p.x][p.y]='1';
                res[k].add(new Pair(p.x,p.y));
                k++;
                arr=new ArrayList();
                arr.add(new Pair(arr2.get(1).x,arr2.get(1).y));
                arr.add(new Pair(arr2.get(2).x,arr2.get(2).y));
                arr2.remove(1);
                arr2.remove(1);
                arr2.add(new Pair(tmp.x,tmp.y));

                for(Pair pp:arr2)
                {
                    board[pp.x][pp.y]='1';
                     res[k].add(new Pair(pp.x,pp.y));
                }
                //k++;
                 p=arr.get(0);
                board[p.x][p.y]='0';
                res[k].add(new Pair(p.x,p.y));
                k++;
                for(Pair pp:arr2)
                {
                    board[pp.x][pp.y]='0';
                    res[k].add(new Pair(pp.x,pp.y));
                }
                p=arr.get(1);
                board[p.x][p.y]='0';
                res[k].add(new Pair(p.x,p.y));
                k++;
            }
            else if(arr.size()==4)
            {
                Pair p=arr.get(0);
                board[p.x][p.y]='0';
                arr2.add(new Pair(p.x,p.y));
                res[k].add(new Pair(p.x,p.y));
                 p=arr.get(1);
                board[p.x][p.y]='0';
                arr2.add(new Pair(p.x,p.y));
                  res[k].add(new Pair(p.x,p.y));

                 p=arr.get(2);
                board[p.x][p.y]='0';
                arr2.add(new Pair(p.x,p.y));
                  res[k].add(new Pair(p.x,p.y));
                  k++;
                arr.remove(0);
                arr.remove(0);
                arr.remove(0);
                p=arr.get(0);

                Pair tmp=new Pair(p.x,p.y);
                board[p.x][p.y]='0';
                res[k].add(new Pair(p.x,p.y));
                p=arr2.get(1);
                 board[p.x][p.y]='1';
                res[k].add(new Pair(p.x,p.y));
                  p=arr2.get(2);
                 board[p.x][p.y]='1';
                res[k].add(new Pair(p.x,p.y));
                k++;
                arr=new ArrayList();
                arr.add(new Pair(arr2.get(1).x,arr2.get(1).y));
                arr.add(new Pair(arr2.get(2).x,arr2.get(2).y));
                arr2.remove(1);
                arr2.remove(1);
                arr2.add(new Pair(tmp.x,tmp.y));

                for(Pair pp:arr2)
                {
                    board[pp.x][pp.y]='1';
                     res[k].add(new Pair(pp.x,pp.y));
                }
                //k++;
                 p=arr.get(0);
                board[p.x][p.y]='0';
                res[k].add(new Pair(p.x,p.y));
                k++;
                for(Pair pp:arr2)
                {
                    board[pp.x][pp.y]='0';
                    res[k].add(new Pair(pp.x,pp.y));
                }
                p=arr.get(1);
                board[p.x][p.y]='0';
                res[k].add(new Pair(p.x,p.y));
                k++;
            }


        }
    }
}
/*for(int i=0;i<n;i++){
for(int j=0;j<m;j++)
{
    out.print(board[i][j]+" ");
}
out.println();
}*/
out.println(k);
for(int i=0;i<k;i++)
{
    for(Pair p:res[i])
        out.print((p.x+1)+" "+(p.y+1)+" ");
    out.println();
}


}




 
out.close();

//SEE UP 

}
static class special{
    char c;
    int idx;
    special(char c,int idx)
    {
        this.c=c;
        this.idx=idx;
    }
}
static long binexp(long a,long n)
{
    if(n==0)
        return 1;
    long res=binexp(a,n/2);
    if(n%2==1)
        return res*res*a;
    else 
        return res*res;
}
static long fastPow(int base, int pow) {
        if (pow==0)
            return 1;
        long half=fastPow(base, pow/2);
        if (pow%2==0)
            return half*half%mod;
        return half*half%mod*base%mod;
    }
static long powMod(long base, long exp, long mod) {
       if (base == 0 || base == 1) return base;
       if (exp == 0) return 1;
       if (exp == 1) return (base % mod+mod)%mod;
       long R = (powMod(base, exp/2, mod) % mod+mod)%mod;
       R *= R;
       R %= mod;
       if ((exp & 1) == 1) {
           return (base * R % mod+mod)%mod;
       }
       else return (R %mod+mod)%mod;
   }
static double dis(double x1,double y1,double x2,double y2)
{
    return Math.sqrt((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2));
}
static long mod(long x,long y)
    {
        if(x<0)
            x=x+(-x/y+1)*y;
        return x%y;
    }
 public static  long pow(long b, long e) {
            long r = 1;
            while (e > 0) {
                if (e % 2 == 1) r = r * b ;
                b = b * b;
                e >>= 1;
            }
            return r;
        }
private static void sort(long[] arr) {
        List<Long> list = new ArrayList<>();
        for (long object : arr) list.add(object);
        Collections.sort(list);
    //Collections.reverse(list);
        for (int i = 0; i < list.size(); ++i) arr[i] = list.get(i);
    }
private static void sort2(long[] arr) {
        List<Long> list = new ArrayList<>();
        for (long object : arr) list.add(object);
        Collections.sort(list);
    Collections.reverse(list);
        for (int i = 0; i < list.size(); ++i) arr[i] = list.get(i);
    }
 public static class FastReader {
        BufferedReader br;
        StringTokenizer root;
        
 
        public FastReader() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }
        FastReader(String filename)throws Exception
        {

            br=new BufferedReader(new FileReader(filename));
        }

        boolean hasNext(){
            String line;
            while(root.hasMoreTokens())
                return true;
            return false;
        }
 
        String next() {
            while (root == null || !root.hasMoreTokens()) {
                try {
                    root = new StringTokenizer(br.readLine());
                } catch (Exception addd) {
                    addd.printStackTrace();
                }
            }
            return root.nextToken();
        }
 
        int nextInt() {
            return Integer.parseInt(next());
        }
 
        double nextDouble() {
            return Double.parseDouble(next());
        }
 
        long nextLong() {
            return Long.parseLong(next());
        }
 
        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (Exception addd) {
                addd.printStackTrace();
            }
            return str;
        }
         public int[] nextIntArray(int arraySize) {
            int array[] = new int[arraySize];
 
            for (int i = 0; i < arraySize; i++) {
                array[i] = nextInt();
            }
 
            return array;
        }
}
 static class Pair implements Comparable<Pair>{
        public int x, y;
        public Pair(int x1, int y1) {
            x=x1;
            y=y1;
        }
        @Override
        public int hashCode() {
            return (int)(x + 31 * y);
        }
        public String toString() {
            return x + " " + y;
        }
        @Override
        public boolean equals(Object o){
            if (o == this) return true;
            if (o.getClass() != getClass()) return false;
            Pair t = (Pair)o;
            return t.x == x && t.y == y;
        }
public int compareTo(Pair o)
{
    return (o.y-y);

    }

static class pair{
    int i;
    int j;
pair(int i,int j){
    this.i=i;
    this.j=j;
}}}
 static class tuple{
        int x,y,z;
        tuple(int a,int b,int c){
            x=a;
            y=b;
            z=c;
        }
    }
    static class Edge{
        int d,w;
        Edge(int d,int w)
        {
            this.d=d;
            this.w=w;
        }
    }
}