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:
Purple Black Purple Black Purple Black Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Purple Black Black Black Black Black Purple Purple Purple
Black Black Purple Black Purple Black Black Black Black Black Purple Purple Purple
Purple Black Black Black Black Black Black Black Black Black Black Black Purple
Purple Black Black Black Black Black Black Black Black Black Black Black Purple
Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black Purple
Purple Black Black Black Black Purple Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Black Purple
Purple Purple Black Black Purple Purple Purple Purple Black Purple Purple Black Purple
Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple

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


Example 2
Input:
Pink Pink Pink Black Pink Pink Black Black Pink Pink Pink Pink
Black Black Black Black Black Pink Pink Black Pink Pink Pink Pink
Pink Pink Black Black Black Pink Pink Pink Pink Black Pink Pink
Black Pink Black Black Black Pink Black Black Black Black Pink Pink
Pink Pink Pink Pink Pink Pink Black Black Black Black Black Pink
Pink Pink Pink Black Pink Pink Black Black Black Black Pink Pink
Pink Pink Pink Black Black Black Black Black Black Black Pink Pink
Black Pink Pink Black Black Black Black Black Black Black Pink Black
Pink Pink Pink Black Black Black Black Black Black Black Pink Pink
Pink Pink Pink Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Pink Pink Pink Black Pink
Pink Black Pink Black Pink Pink Pink Pink Pink Pink Pink Pink

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


Example 3
Input:
Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange
Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Black
Orange Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange
Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange
Orange Black Orange Orange Orange Black Black Black Black Black Orange Orange
Orange Black Black Orange Orange Black Black Black Black Black Orange Orange
Orange Orange Orange Orange Orange Black Black Black Black Black Orange Black
Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Black
Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange

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


Here is the input grid for the test example:
Input:
Gray Gray Gray Black Gray Gray Gray Gray Black Gray Black Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Gray
Black Gray Gray Gray Black Gray Gray Gray Black Black Black Black Gray Gray
Gray Gray Gray Black Black Black Gray Gray Black Black Black Black Gray Black
Gray Black Gray Black Black Black Gray Gray Black Black Black Black Gray Gray
Gray Gray Gray Black Black Black Gray Gray Black Black Black Black Gray Gray
Gray Gray Gray Black Black Black Gray Gray Black Black Black Black Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Black
Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray
Gray Gray Gray Gray Gray Black Black Gray Black Black Black Gray Gray Gray
Black Gray Gray Gray Black Gray Gray Gray Black Black Gray Gray Gray Gray
Gray Gray Gray Gray Black Black Gray Gray Black Gray Gray Gray Gray Gray
Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray


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

```
Gray Gray Gray Black Gray Gray Gray Gray Black Gray Black Gray Gray Gray
Gray Yellow Yellow Gray Yellow Yellow Yellow Gray Black Gray Gray Black Gray Gray
Black Gray Yellow Yellow Yellow Yellow Yellow Gray Black Black Black Black Gray Gray
Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Black Black Black Black Gray Black
Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Black Black Black Black Gray Gray
Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Black Black Black Black Gray Gray
Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Black Black Black Black Gray Gray
Black Gray Yellow Yellow Yellow Yellow Yellow Gray Black Black Black Black Gray Black
Gray Yellow Yellow Yellow Yellow Yellow Gray Black Black Black Black Gray Yellow Gray
Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Black Black Black Gray Yellow Gray
Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Black Black Black Gray Yellow Gray
Black Gray Yellow Yellow Yellow Yellow Yellow Gray Black Black Gray Yellow Yellow Gray
Gray Yellow Gray Yellow Yellow Yellow Yellow Gray Black Gray Yellow Yellow Gray Gray
Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray
```
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