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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple
Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple
Black Black Purple Purple Purple Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple

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


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

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


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

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


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


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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Gray Gray Gray Black Black Black Black Gray Black Gray Gray Black
Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black
Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black
Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black
```
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