CF1915B.Not Quite Latin Square

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题目描述

A Latin square is a 3×33 \times 3 grid made up of the letters A\texttt{A} , B\texttt{B} , and C\texttt{C} such that:

  • in each row, the letters A\texttt{A} , B\texttt{B} , and C\texttt{C} each appear once, and
  • in each column, the letters A\texttt{A} , B\texttt{B} , and C\texttt{C} each appear once.

For example, one possible Latin square is shown below. $$$$\begin{bmatrix} \texttt{A} & \texttt{B} & \texttt{C} \ \texttt{C} & \texttt{A} & \texttt{B} \ \texttt{B} & \texttt{C} & \texttt{A} \ \end{bmatrix} $$

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 tt ( 1t1081 \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 A\texttt{A} , B\texttt{B} , C\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:

$$\begin{bmatrix} \texttt{A} & \texttt{B} & \texttt{C} \\ \texttt{C} & \color{red}{\texttt{A}} & \texttt{B} \\ \texttt{B} & \texttt{C} & \texttt{A} \\ \end{bmatrix} \quad \begin{bmatrix} \texttt{B} & \texttt{C} & \texttt{A} \\ \texttt{C} & \texttt{A} & \color{red}{\texttt{B}} \\ \texttt{A} & \texttt{B} & \texttt{C} \\ \end{bmatrix} \quad \begin{bmatrix} \color{red}{\texttt{C}} & \texttt{A} & \texttt{B} \\ \texttt{B} & \texttt{C} & \texttt{A} \\ \texttt{A} & \texttt{B} & \texttt{C} \\ \end{bmatrix} $$
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