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 Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Gray Purple Gray Gray Purple Gray Gray Purple Gray Black Purple Gray Gray Purple Gray Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Black Gray Purple Purple Gray Purple Purple Black Purple Purple Gray
Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Gray Purple Gray Gray Purple Black Gray Purple Gray Gray Purple Black Gray Purple Gray Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray

Output:
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple Gray Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray


Example 2
Input:
Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange
Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Orange Purple Black Orange Purple
Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange
Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange
Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Orange Purple
Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange
Orange Purple Orange Orange Purple Orange Orange Purple Orange Black Purple Orange Orange Purple Orange
Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Orange Purple Black Orange Purple
Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Black Orange
Black Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange
Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Orange Purple
Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange

Output:
Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange
Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Orange Purple
Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange
Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange
Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Orange Purple
Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange
Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange
Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Orange Purple
Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange
Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange
Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Orange Purple Purple Orange Purple
Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange Orange Purple Orange


Example 3
Input:
Pink Blue Pink Pink Blue Pink Black Blue Pink Pink Blue Pink Pink Blue Pink Pink
Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue
Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink
Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink
Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue
Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink
Pink Blue Pink Pink Black Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink
Blue Pink Blue Blue Pink Black Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue
Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink
Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink
Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue
Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink

Output:
Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink
Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue
Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink
Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink
Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue
Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink
Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink
Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue
Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink
Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink
Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue
Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink Blue Pink Pink


Here is the input grid for the test example:
Input:
Yellow Brown Yellow Brown Yellow Black Yellow Brown Yellow Brown Yellow Brown Yellow Brown
Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow
Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown
Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow
Yellow Brown Yellow Brown Yellow Black Yellow Brown Yellow Brown Yellow Brown Yellow Brown
Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow
Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown
Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow
Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown
Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow
Yellow Brown Yellow Brown Yellow Brown Yellow Brown Black Brown Yellow Brown Yellow Brown
Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow
Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown
Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow


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 Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown
Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow
Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown
Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow
Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown
Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow
Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown
Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow
Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown
Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow
Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown
Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow
Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown
Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow
```
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