A16420. Not Quite Latin Square
编程题
普及/提高-
知识点
题目描述
A Latin square is a $3 \times 3$ grid made up of the letters $\texttt{A}$ , $\texttt{B}$ , and $\texttt{C}$ such that:
- in each row, the letters $\texttt{A}$ , $\texttt{B}$ , and $\texttt{C}$ each appear once, and
- in each column, the letters $\texttt{A}$ , $\texttt{B}$ , and $\texttt{C}$ each appear once.
For example, one possible Latin square is shown below. $$$$\begin{bmatrix} \texttt{A} & \texttt{B} & \texttt{C} \\ \texttt{C} & \texttt{A} & \texttt{B} \\ \texttt{B} & \texttt{C} & \texttt{A} \\ \end{bmatrix} $$ <p>You are given a Latin square, but one of the letters was replaced with a question mark $\texttt{?}$$$. Find the letter that was replaced.
- in each row, the letters $\texttt{A}$ , $\texttt{B}$ , and $\texttt{C}$ each appear once, and
- in each column, the letters $\texttt{A}$ , $\texttt{B}$ , and $\texttt{C}$ each appear once.
For example, one possible Latin square is shown below. $$$$\begin{bmatrix} \texttt{A} & \texttt{B} & \texttt{C} \\ \texttt{C} & \texttt{A} & \texttt{B} \\ \texttt{B} & \texttt{C} & \texttt{A} \\ \end{bmatrix} $$ <p>You are given a Latin square, but one of the letters was replaced with a question mark $\texttt{?}$$$. Find the letter that was replaced.
输入格式
The first line of the input contains a single integer $t$ ( $1 \leq t \leq 108$ ) — the number of testcases.
Each test case contains three lines, each consisting of three characters, representing the Latin square. Each character is one of $\texttt{A}$ , $\texttt{B}$ , $\texttt{C}$ , or $\texttt{?}$ .
Each test case is a Latin square with exactly one of the letters replaced with a question mark $\texttt{?}$ .
Each test case contains three lines, each consisting of three characters, representing the Latin square. Each character is one of $\texttt{A}$ , $\texttt{B}$ , $\texttt{C}$ , or $\texttt{?}$ .
Each test case is a Latin square with exactly one of the letters replaced with a question mark $\texttt{?}$ .
输出格式
For each test case, output the letter that was replaced.
输入输出样例
输入 #1
3 ABC C?B BCA BCA CA? ABC ?AB BCA ABC
输出 #1
A B C
说明/提示
The correct Latin squares for the three test cases are shown below:
$$$$\begin{bmatrix} \texttt{A} & \texttt{B} & \texttt{C} \\ \texttt{C} & \color{red}{\texttt{A}} & \texttt{B} \\ \texttt{B} & \texttt{C} & \texttt{A} \\ \end{bmatrix} \quad \begin{bmatrix} \texttt{B} & \texttt{C} & \texttt{A} \\ \texttt{C} & \texttt{A} & \color{red}{\texttt{B}} \\ \texttt{A} & \texttt{B} & \texttt{C} \\ \end{bmatrix} \quad \begin{bmatrix} \color{red}{\texttt{C}} & \texttt{A} & \texttt{B} \\ \texttt{B} & \texttt{C} & \texttt{A} \\ \texttt{A} & \texttt{B} & \texttt{C} \\ \end{bmatrix} $$$$
$$$$\begin{bmatrix} \texttt{A} & \texttt{B} & \texttt{C} \\ \texttt{C} & \color{red}{\texttt{A}} & \texttt{B} \\ \texttt{B} & \texttt{C} & \texttt{A} \\ \end{bmatrix} \quad \begin{bmatrix} \texttt{B} & \texttt{C} & \texttt{A} \\ \texttt{C} & \texttt{A} & \color{red}{\texttt{B}} \\ \texttt{A} & \texttt{B} & \texttt{C} \\ \end{bmatrix} \quad \begin{bmatrix} \color{red}{\texttt{C}} & \texttt{A} & \texttt{B} \\ \texttt{B} & \texttt{C} & \texttt{A} \\ \texttt{A} & \texttt{B} & \texttt{C} \\ \end{bmatrix} $$$$