## 5679: 计算机C13001第一次小组赛G题

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## 题目描述

Transformer

A square pattern of size 3 x 3 black and white square tiles is transformed into another square pattern. Write a program that will recognize the minimum transformation that has been applied to the original pattern given the following list of possible transformations:

• #1: 90 Degree Rotation: The pattern was rotated clockwise 90 degrees.
• #2: 180 Degree Rotation: The pattern was rotated clockwise 180 degrees.
• #3: 270 Degree Rotation: The pattern was rotated clockwise 270 degrees.
• #4: Reflection: The pattern was reflected horizontally (turned into a mirror image of itself by reflecting around a vertical line in the middle of the image).
• #5: Combination: The pattern was reflected horizontally and then subjected to one of the rotations (#1-#3).
• #6: No Change: The original pattern was not changed.
• #7: Invalid Transformation: The new pattern was not obtained by any of the above methods.

In the case that more than one transform could have been used, choose the one with the minimum number above.

## 输入

First 3 lines will input 3 '0'(for black square) or '1'(for white square) per line , this is the square before transformation.

Then 3 lines will input 3 '0'(for black square) or '1'(for white square) per line , this is the square after  transformation.

## 输出

An integer from 1 to 7 (described above) that categorizes the transformation required to change from the 'before' representation to the 'after' representation.

## 样例输入

010
111
001
010
011
110


## 样例输出

1


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