OKVIR

문제

Mirko has assembled an excellent crossword puzzle and now he wants to frame it. Mirko's crossword puzzle consists of M x N letters, and the frame around it should be U characters wide on top, L characters on the left, R characters on the right and D characters on the bottom side. 

The frame consists of characters # (hash) and . (dot) which alternate like fields on a chessboard. These characters should be arranged in a way that, if the frame is expanded to cover the entire crossword puzzle and we treat these characters as a chessboard, the # characters should be placed as the red fields on a chessboard (i.e. the top left field). See the examples below for a better understanding of the task. 

입력

The first line of input contains two integers M and N (1 ≤ M, N ≤ 10). 

The second line of input contains integers U, L, R, D (0 ≤ U, L, R, D ≤ 5). 

The following M lines of input contains N characters – lowercase letters of the English alphabet. These lines represent Mirko's crossword puzzle. 

출력

Output the framed crossword puzzle as stated in the text. 

4 4
2 2 2 2
honi
oker
nera
irak

#.#.#.#.
.#.#.#.#
#.honi#.
.#oker.#
#.nera#.
.#irak.#
#.#.#.#.
.#.#.#.#

2 4
1 0 3 1
rima
mama

#.#.#.#
rima.#.
mama#.#
.#.#.#.