CF1915B.Not Quite Latin Square
普及/提高-
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题目描述
A Latin square is a 3×3 grid made up of the letters A , B , and C such that:
- in each row, the letters A , B , and C each appear once, and
- in each column, the letters A , B , and C each appear once.
For example, one possible Latin square is shown below. $$$$\begin{bmatrix} \texttt{A} & \texttt{B} & \texttt{C} \ \texttt{C} & \texttt{A} & \texttt{B} \ \texttt{B} & \texttt{C} & \texttt{A} \ \end{bmatrix} $$
You are given a Latin square, but one of the letters was replaced with a question mark ?$$. Find the letter that was replaced.
输入格式
The first line of the input contains a single integer t ( 1≤t≤108 ) — the number of testcases.
Each test case contains three lines, each consisting of three characters, representing the Latin square. Each character is one of A , B , C , or ? .
Each test case is a Latin square with exactly one of the letters replaced with a question mark ? .
输出格式
For each test case, output the letter that was replaced.
输入输出样例
输入#1
3 ABC C?B BCA BCA CA? ABC ?AB BCA ABC
输出#1
A B C
说明/提示
The correct Latin squares for the three test cases are shown below:
$$\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} $$