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 Black Black Black Black Black Black Black Black Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red
Black Black Gray Black Black Black Black Black Black Black Black Black Red Red Red
Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black
Black Orange Orange Orange Black Black Black Black Black Black Black Black Red Black Black
Black Orange Orange Orange Black Black Black Black Black Black Black Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black
Black Black Black Black Black Black Black Black Brown Black Black Purple Purple Purple Black
Black Black Black Black Black Black Black Pink Pink Pink Black Black Orange Black Black
Black Black Black Black Black Black Black Pink Pink Pink Black Gray Gray Gray Black
Black Black Black Black Black Black Black Pink Pink Pink Black Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red
Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red
Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple
Purple Orange Orange Orange 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
Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Orange Purple Purple
Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Gray Gray Gray Purple
Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Gray Gray Gray Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Brown Black Brown Brown Brown Black
Black Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black
Black Gray Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black
Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Black Black Black Black
Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange 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 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 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 Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Brown Orange Brown Brown Brown Orange
Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Orange
Orange Gray Orange Orange Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Orange
Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange


Example 3
Input:
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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black
Black Black Black Gray Black Pink Pink Pink Black Black Black Black Black Black
Black Black Gray Gray Gray 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 Gray Gray Gray 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 Brown Brown Brown 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 Brown Brown Brown 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

Output:
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 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 Gray Gray Red Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Pink Pink Pink 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 Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Brown Brown Brown 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 Gray Gray Gray Gray Gray Gray


Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Gray Gray Gray 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 Yellow Black Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Gray 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 Brown Brown Brown 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 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.
user
The output grid for the test input grid is:

```
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
```
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