CF1906A.Easy As ABC

普及/提高-

通过率:0%

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题目描述

You are playing a word puzzle. The puzzle starts with a 33 by 33 grid, where each cell contains either the letter A, B, or C.

The goal of this puzzle is to find the lexicographically smallest possible word of length 33 . The word can be formed by choosing three different cells where the cell containing the first letter is adjacent to the cell containing the second letter, and the cell containing the second letter is adjacent to the cell containing the third letter.

Two cells are adjacent to each other if they share a border or a corner, as shown in the following illustration. Formally, if (r,c)(r, c) denotes the cell in the rr -th row and cc -th column, then cell (r,c)(r, c) is adjacent to cell (r,c+1)(r, c + 1) , (r1,c+1)(r - 1, c + 1) , (r1,c)(r - 1, c) , (r1,c1)(r - 1, c - 1) , (r,c1)(r, c - 1) , (r+1,c1)(r + 1, c - 1) , (r+1,c)(r + 1, c) , and (r+1,c+1)(r + 1, c + 1) .

Determine the lexicographically smallest possible word of length 33 that you can find within the grid.

A string ss of length nn is lexicographically smaller than string tt of the same length if there exists an integer 1in1 \leq i \leq n such that sj=tjs_j = t_j for all 1j<i1 \leq j < i , and si<tis_i < t_i in alphabetical order. The following illustration shows some examples on some grids and their the lexicographically smallest possible word of length 33 that you can find within the grids.

输入格式

Input consists of three lines, each containing three letters, representing the puzzle grid. Each letter in the grid can only be either A, B, or C.

输出格式

Output the lexicographically smallest possible word of length 33 that you can find within the grid.

输入输出样例

  • 输入#1

    BCB
    CAC
    BCB

    输出#1

    ABC
  • 输入#2

    BCB
    CCC
    CCA

    输出#2

    ACB
  • 输入#3

    ACA
    CBC
    ACA

    输出#3

    ABA
  • 输入#4

    ACA
    CAC
    ACA

    输出#4

    AAA
  • 输入#5

    CCC
    CBC
    CCC

    输出#5

    BCC
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