#P9878. [EC Final 2021] Check Pattern is Bad

[EC Final 2021] Check Pattern is Bad

题目描述

Prof. Pang is given an n×mn\times m board. Some cells are colored black, some cells are colored white, and others are uncolored.

Prof. Pang doesn't like check patterns\textbf{check patterns}, so he wants to color all uncolored cells such that there is no check pattern on the board.

44 cells forming a 2×22\times 2 square are said to have the check pattern if they are colored in one of the following ways:

BW
WB
WB
BW

Here W ("wakuda" in Chewa language) means the cell is colored black and B ("biancu" in Corsican language) means the cell is colored white.

输入格式

The first line contains a single integer TT (1T104)(1\leq T \leq 10^4) denoting the number of test cases.

The first line of each test case contains two integers nn and mm (1n,m1001\le n, m\le 100) denoting the dimensions of the board.

Each of the next nn lines contains mm characters. The jj-th character of the ii-th line represents the status of the cell on the ii-th row and jj-th column of the board. The character is W if the cell is colored black, B if the cell is colored white, and ? if the cell is uncolored.

It is guaranteed that the sum of nmnm over all test cases is no more than 10610^6.

输出格式

For each test case, output a line containing NO\texttt{NO} if you cannot color all the uncolored cells such that there is no check pattern on the board.

Otherwise, output a line containing YES\texttt{YES}. In the next nn lines, output the colored board in the same format as the input. The output board should satisfy the following conditions.

  • It does not have any check pattern.
  • It consists of only B\texttt{B} and W\texttt{W}.
  • If a cell is already colored in the input, its color cannot be changed in the output.

If there are multiple solutions, output any of them.

题目大意

n×mn \times m 的棋盘,知道一些位置是黑色的,一些位置是白色的,一些位置不知道是什么颜色。

请你构造一种方案让棋盘的每个位置被染成黑色或白色(已知的位置不能换颜色),使得棋盘上不存在子矩阵:

BW
WB

以及

WB
BW

多组询问。

3
2 2
??
??
3 3
BW?
W?B
?BW
3 3
BW?
W?W
?W?
YES
BW
WW
NO
YES
BWB
WWW
BWB