You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.
system
Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Black Black Black Yellow Yellow Black Black Orange Black Black Black
Black Black Black Black Yellow Yellow Black Black Orange Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Pink Pink Pink Black Blue Black Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Black Red Black Black Orange Orange Black Black Black Black
Black Black Black Red Black Black Black Black Black Gray Gray Black
Black Green Black Red Black Black Black Black Black Gray Gray Black
Black Green Black Black Black Black Black Black Black Gray Gray Black
Black Green Black Black Black Black Black Black Black Black Black Black

Output:
Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray
Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black
Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray
Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black
Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray
Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black
Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray
Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black
Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray
Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black
Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray
Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Green Green Green Black Black Orange Black
Black Black Black Black Black Black Black Black Black Black Orange Black
Red Red Red Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple
Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Yellow Black
Black Black Black Pink Pink Black Black Black Black Black Yellow Black
Brown Brown Black Pink Pink Black Yellow Yellow Yellow Black Black Black
Brown Brown Black Black Black Black Yellow Yellow Yellow Black Black Blue
Black Black Black Black Black Black Yellow Yellow Yellow Black Black Blue

Output:
Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow
Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black
Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow
Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black
Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow
Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black
Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow
Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black
Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow
Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black
Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow
Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black


Example 3
Input:
Black Black Black Black Pink Pink Black Black Black Green Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Gray Black Black Black Blue Blue Blue
Black Black Black Black Black Black Black Gray Black Black Black Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Brown Brown Black
Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black

Output:
Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink
Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black
Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink
Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black
Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink
Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black
Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink
Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black
Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink
Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black
Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink
Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black
Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink
Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black


Here is the input grid for the test example:
Input:
Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Black Black Black Black Black Black Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.
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The output grid for the test input grid is:

```
Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple
Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black
Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple
Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black
Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple
Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black
Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple
Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black
Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple
Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black
Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple
Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black
Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple
Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black
Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple
Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black
Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple
```
assistant