Problem: Snuke and Ciel went to a strange stationery store. Each of them got a transparent graph paper with H rows and W columns.

Snuke painted some of the cells red in his paper. Here, the cells painted red were 4-connected, that is, it was possible to traverse from any red cell to any other red cell, by moving to vertically or horizontally adjacent red cells only.

Ciel painted some of the cells blue in her paper. Here, the cells painted blue were 4-connected.

Afterwards, they precisely overlaid the two sheets in the same direction. Then, the intersection of the red cells and the blue cells appeared purple.

You are given a matrix of letters a_{ij} (1≤i≤H, 1≤j≤W) that describes the positions of the purple cells. If the cell at the i-th row and j-th column is purple, then a_{ij} is `#`, otherwise a_{ij} is `.`. Here, it is guaranteed that no outermost cell is purple. That is, if i=1, H or j = 1, W, then a_{ij} is `.`.

Find a pair of the set of the positions of the red cells and the blue cells that is consistent with the situation described. It can be shown that a solution always exists.

Constraints

* 3≤H,W≤500
* a_{ij} is `#` or `.`.
* If i=1,H or j=1,W, then a_{ij} is `.`.
* At least one of a_{ij} is `#`.

Input

The input is given from Standard Input in the following format:


H W
a_{11}...a_{1W}
:
a_{H1}...a_{HW}


Output

Print a pair of the set of the positions of the red cells and the blue cells that is consistent with the situation, as follows:

* The first H lines should describe the positions of the red cells.
* The following 1 line should be empty.
* The following H lines should describe the positions of the blue cells.



The description of the positions of the red or blue cells should follow the format of the description of the positions of the purple cells.

Examples

Input

5 5
.....
.#.#.
.....
.#.#.
.....


Output

.....
#####
#....
#####
.....

.###.
.#.#.
.#.#.
.#.#.
.....


Input

7 13
.............
.###.###.###.
.#.#.#...#...
.###.#...#...
.#.#.#.#.#...
.#.#.###.###.
.............


Output

.............
.###########.
.###.###.###.
.###.###.###.
.###.###.###.
.###.###.###.
.............

.............
.###.###.###.
.#.#.#...#...
.###.#...#...
.#.#.#.#.#...
.#.#########.
.............

Solution (in JAVA):

Solution:

import java.io.*;
import java.lang.reflect.Array;
import java.math.*;
import java.text.DecimalFormat;
import java.util.*;




public class Main {


    public static void main(String[] args) throws Exception{
        IO io = new IO(null,null);
        int H = io.getNextInt(),W = io.getNextInt();
        char [] [] G = new char[H][W];
        char [] [] R = new char[H][W];
        char [] [] B = new char[H][W];
        for (int i = 0;i < H;i++)
            G[i] = io.getNext().toCharArray();
        for (int i = 0;i < H;i++)
            for (int j = 0;j < W;j++) {
                R[i][j] = B[i][j] = G[i][j];
                if (i == 0) R[i][j] = '#';
                if (i == H-1) B[i][j] = '#';
                if (i > 0 && i < H-1) {
                    if (j%2 == 0) R[i][j] = '#';
                    else B[i][j] = '#';
                }
            }
        for (int i = 0;i < H;i++)
            for (int j = 0;j < W;j++) {
                char c = '.';
                if (R[i][j] == '#' && B[i][j] == '#') c = '#';
                if (c != G[i][j]) throw new Exception("not valid grids");
            }

        for (int i = 0;i < H;i++)
            io.println(new String(R[i]));

        io.println("");
        for (int i = 0;i < H;i++)
            io.println(new String(B[i]));
        io.close();
    }
}



class IO{
    private BufferedReader br;
    private StringTokenizer st;
    private PrintWriter writer;
    private String inputFile,outputFile;

    public boolean hasMore() throws IOException{
        if(st != null && st.hasMoreTokens()) return true;
        if(br != null && br.ready()) return true;
        return false;
    }
    public String getNext() throws FileNotFoundException, IOException{
        while(st == null || !st.hasMoreTokens()) st = new StringTokenizer(br.readLine());
        return st.nextToken();
    }

    public String getNextLine() throws FileNotFoundException, IOException{
        return br.readLine().trim();
    }

    public int getNextInt() throws FileNotFoundException, IOException{
        return Integer.parseInt(getNext());
    }
    public long getNextLong() throws FileNotFoundException, IOException{
        return Long.parseLong(getNext());
    }

    public void print(double x,int num_digits) throws  IOException{
        writer.printf("%." + num_digits + "f" ,x);
    }
    public void println(double x,int num_digits) throws  IOException{
        writer.printf("%." + num_digits + "f\n" ,x);
    }
    public void print(Object o) throws  IOException{
        writer.print(o.toString());
    }

    public void println(Object o) throws  IOException{
        writer.println(o.toString());
    }
    public IO(String x,String y) throws FileNotFoundException, IOException{
        inputFile = x;
        outputFile = y;
        if(x != null) br = new BufferedReader(new FileReader(inputFile));
        else br = new BufferedReader(new InputStreamReader(System.in));
        if(y != null) writer = new PrintWriter(new BufferedWriter(new FileWriter(outputFile)));
        else writer = new PrintWriter(new OutputStreamWriter(System.out));
    }

    protected void close() throws IOException{
        br.close();
        writer.close();
    }
    public void outputArr(Object [] A) throws IOException{
        int L = A.length;
        for (int i = 0;i < L;i++) {
            if(i > 0) writer.print(" ");
            writer.print(A[i]);
        }
        writer.print("\n");
    }
}