Problem: Vivek has encountered a problem. He has a maze that can be represented as an n × m grid. Each of the grid cells may represent the following:

  * Empty — '.' 
  * Wall — '#' 
  * Good person — 'G' 
  * Bad person — 'B' 



The only escape from the maze is at cell (n, m).

A person can move to a cell only if it shares a side with their current cell and does not contain a wall. Vivek wants to block some of the empty cells by replacing them with walls in such a way, that all the good people are able to escape, while none of the bad people are able to. A cell that initially contains 'G' or 'B' cannot be blocked and can be travelled through.

Help him determine if there exists a way to replace some (zero or more) empty cells with walls to satisfy the above conditions.

It is guaranteed that the cell (n,m) is empty. Vivek can also block this cell.

Input

The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases. The description of the test cases follows.

The first line of each test case contains two integers n, m (1 ≤ n, m ≤ 50) — the number of rows and columns in the maze.

Each of the next n lines contain m characters. They describe the layout of the maze. If a character on a line equals '.', the corresponding cell is empty. If it equals '#', the cell has a wall. 'G' corresponds to a good person and 'B' corresponds to a bad person.

Output

For each test case, print "Yes" if there exists a way to replace some empty cells with walls to satisfy the given conditions. Otherwise print "No"

You may print every letter in any case (upper or lower).

Example

Input


6
1 1
.
1 2
G.
2 2
#B
G.
2 3
G.#
B#.
3 3
#B.
#..
GG.
2 2
#B
B.


Output


Yes
Yes
No
No
Yes
Yes

Note

For the first and second test cases, all conditions are already satisfied.

For the third test case, there is only one empty cell (2,2), and if it is replaced with a wall then the good person at (1,2) will not be able to escape.

For the fourth test case, the good person at (1,1) cannot escape.

For the fifth test case, Vivek can block the cells (2,3) and (2,2).

For the last test case, Vivek can block the destination cell (2, 2).

Solution (in JAVA):

Solution:
import java.util.*;		
import java.util.function.Function;
import java.util.stream.Collectors;
import java.io.*;
import java.math.*;
public class Main7{
	static public void main(String args[])throws IOException{
		int tt=i();
		StringBuilder sb=new StringBuilder();
		for(int ttt=1;ttt<=tt;ttt++){
			int n=i();
			int m=i();
			int count=0;
			char[][] ch=new char[n][m];
			for(int i=0;i<n;i++){
				String s=s();
				for(int j=0;j<m;j++){
					ch[i][j]=s.charAt(j);
					if(ch[i][j]=='G'){
						count++;
					}
				}
			}
			if(count==0){
				sb.append("Yes\n");
			}else{
			//	check initially blocked
				Queue<Pair> queue=new LinkedList<>();
				queue.add(new Pair(n-1,m-1));
				boolean[][] visited=new boolean[n][m];
				visited[n-1][m-1]=true;
				int[] dx=new int[]{1,-1,0,0};
				int[] dy=new int[]{0,0,1,-1};
				while(queue.isEmpty()==false){
					Pair p=queue.poll();
					for(int j=0;j<4;j++){
						int xx=p.x+dx[j];
						int yy=p.y+dy[j];
						if(xx<0 || yy<0 || xx>=n || yy>=m){
							continue;
						}
						if(visited[xx][yy]==false && ch[xx][yy]!='#'){
							visited[xx][yy]=true;
							queue.add(new Pair(xx,yy));
						}
					}
				}
				int tmp=0;
				for(int i=0;i<n;i++){
					for(int j=0;j<m;j++){
						if(ch[i][j]=='G'){
							if(visited[i][j]==false){
								tmp++;
							}
						}
					}
				}
				if(tmp>0){
					sb.append("No\n");
				}else{
					//check GGGBBB // BBBGGGGG
					boolean flag=false;
					for(int i=0;i<n;i++){
						for(int j=0;j<m;j++){
							if(j+1<m && ((ch[i][j]=='G' && ch[i][j+1]=='B') || (ch[i][j]=='B' && ch[i][j+1]=='G'))){
								flag=true;
							}
							if(i+1<n && ((ch[i][j]=='G' && ch[i+1][j]=='B') || (ch[i][j]=='B' && ch[i+1][j]=='G'))){
								flag=true;
							}
							if(i-1>=0 && ((ch[i][j]=='G' && ch[i-1][j]=='B') || (ch[i][j]=='B' && ch[i-1][j]=='G'))){
								flag=true;
							}
							if(j-1>=0 && ((ch[i][j]=='G' && ch[i][j-1]=='B') || (ch[i][j]=='B' && ch[i][j-1]=='G'))){
								flag=true;
							}
							if(i==n-1 && j+1==m-1 && ch[i][j]=='B'){
								flag=true;
							}
							if(i+1==n-1 && j==m-1 && ch[i][j]=='B'){
								flag=true;
							}
						}
					}
					if(flag){
						sb.append("No\n");
					}else{
						queue=new LinkedList<>();
						queue.add(new Pair(n-1,m-1));
						visited=new boolean[n][m];
						visited[n-1][m-1]=true;
						dx=new int[]{1,-1,0,0};
						dy=new int[]{0,0,1,-1};
						while(queue.isEmpty()==false){
							Pair p=queue.poll();
							for(int j=0;j<4;j++){
								int xx=p.x+dx[j];
								int yy=p.y+dy[j];
								if(xx<0 || yy<0 || xx>=n || yy>=m){
									continue;
								}
								if(visited[xx][yy]==false && ch[xx][yy]!='#' && ch[xx][yy]!='B'){
									visited[xx][yy]=true;
									queue.add(new Pair(xx,yy));
								}
							}
						}
						for(int i=0;i<n;i++){
							for(int j=0;j<m;j++){
								if(ch[i][j]=='G' && visited[i][j]==false){
									flag=true;
								}
							}
						}
						if(flag){
							sb.append("No\n");
						}else{
							for(int i=0;i<n;i++){
								for(int j=0;j<m;j++){
									if(ch[i][j]=='B'){
										if(i+1<n && ch[i+1][j]=='.'){
											ch[i+1][j]='#';
										}
										if(j+1<m && ch[i][j+1]=='.'){
											ch[i][j+1]='#';
										}
										if(j-1>=0 && ch[i][j-1]=='.'){
											ch[i][j-1]='#';
										}
										if(i-1>=0 && ch[i-1][j]=='.'){
											ch[i-1][j]='#';
										}
									}
								}
							}
							queue=new LinkedList<>();
							queue.add(new Pair(n-1,m-1));
							visited=new boolean[n][m];
							visited[n-1][m-1]=true;
							dx=new int[]{1,-1,0,0};
							dy=new int[]{0,0,1,-1};
							while(queue.isEmpty()==false){
								Pair p=queue.poll();
								for(int j=0;j<4;j++){
									int xx=p.x+dx[j];
									int yy=p.y+dy[j];
									if(xx<0 || yy<0 || xx>=n || yy>=m){
										continue;
									}
									if(visited[xx][yy]==false && ch[xx][yy]!='#' && ch[xx][yy]!='B'){
										visited[xx][yy]=true;
										queue.add(new Pair(xx,yy));
									}
								}
							}
							for(int i=0;i<n;i++){
								for(int j=0;j<m;j++){
									if(ch[i][j]=='G' && visited[i][j]==false){
										flag=true;
									}
								}
							}
							if(flag){
								sb.append("No\n");
							}else{
								sb.append("Yes\n");
							}
						}
					}
				}
			}
		}
		System.out.print(sb.toString());
	}
	static InputReader in=new InputReader(System.in);
	static OutputWriter out=new OutputWriter(System.out);
	static ArrayList<ArrayList<Integer>> graph;
	static int mod=1000000007;
	static class Pair{
		int x;
		int y;
		Pair(int x,int y){
			this.x=x;
			this.y=y;
		}
		@Override
		public int hashCode(){ 
			final int temp = 14; 
			int ans = 1; 
			ans =x*31+y*13; 
			return ans; 
		} 
       @Override
        public boolean equals(Object o) { 
            if (this == o) { 
                return true; 
            } 
            if (o == null) { 
                return false; 
            } 
            if (this.getClass() != o.getClass()) { 
                return false; 
            } 
            Pair other = (Pair)o; 
            if (this.x != other.x || this.y!=other.y) { 
                return false; 
            } 
            return true; 
        }
	}
	public static int[] sort(int[] a){
		int n=a.length;
		ArrayList<Integer> ar=new ArrayList<>();
		for(int i=0;i<a.length;i++){
			ar.add(a[i]);
		}
		Collections.sort(ar);
		for(int i=0;i<n;i++){
			a[i]=ar.get(i);
		}
		return a;
	}
	public static long pow(long a, long b){
        long result=1;
        while(b>0){
            if (b % 2 != 0){
                result=(result*a)%mod;
                b--;
            } 
            a=(a*a)%mod;
            b /= 2;
        }   
        return result;
    }
	public static long gcd(long a, long b){
        if (a == 0){
            return b;
		}
        return gcd(b%a, a);
    }
	public static long lcm(long a, long b){
		return a*(b/gcd(a,b));
	}
	public static long l(){
		String s=in.String();
		return Long.parseLong(s);
	}
	public static void pln(String value){
		System.out.println(value);
	}
	public static int i(){
		return in.Int();
	}
	public static String s(){
		return in.String();
	}
}
class InputReader 
{
	private InputStream stream;
	private byte[] buf = new byte[1024];
	private int curChar;
	private int numChars;
	private SpaceCharFilter filter;
	public InputReader(InputStream stream) {
		this.stream = stream;
	}
	public int read() {
		if (numChars== -1)
			throw new InputMismatchException();
		if (curChar >= numChars) {
			curChar = 0;
			try {
				numChars = stream.read(buf);
			} catch (IOException e) {
				throw new InputMismatchException();
			}
			if (numChars <= 0)
				return -1;
		}
		return buf[curChar++];
	}
	public int Int() {
		int c = read();
		while (isSpaceChar(c))
			c = read();
		int sgn = 1;
		if (c == '-') {
			sgn = -1;
			c = read();
		}
		int res = 0;
		do {
			if (c < '0' || c > '9')
				throw new InputMismatchException();
			res *= 10;
			res += c - '0';
			c = read();
		} while (!isSpaceChar(c));
		return res * sgn;
	}
	public String String() {
		int c = read();
		while (isSpaceChar(c))
			c = read();
		StringBuilder res = new StringBuilder();
		do {
			res.appendCodePoint(c);
			c = read();
		} while (!isSpaceChar(c));
		return res.toString();
	} 
	public boolean isSpaceChar(int c) {
		if (filter != null)
			return filter.isSpaceChar(c);
		return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
	} 
	public String next() {
		return String();
	} 
	public interface SpaceCharFilter {
		public boolean isSpaceChar(int ch);
	}
}
class OutputWriter {
	private final PrintWriter writer;
	public OutputWriter(OutputStream outputStream) {
		writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
	}
	public OutputWriter(Writer writer) {
		this.writer = new PrintWriter(writer);
	}
	public void print(Object...objects) {
		for (int i = 0; i < objects.length; i++) {
			if (i != 0)
				writer.print(' ');
			writer.print(objects[i]);
		}
	}
	public void printLine(Object...objects) {
		print(objects);
		writer.println();
	}
	public void close() {
		writer.close();
	}
	public void flush() {
		writer.flush();
	}
 }
class IOUtils {
	public static int[] readIntArray(InputReader in, int size) {
		int[] array = new int[size];
		for (int i = 0; i < size; i++)
			array[i] = in.Int();
		return array;
	}
}