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:
Brown Brown Brown Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Purple Brown Purple Brown Brown Brown Purple Brown Blue Blue Blue Blue Blue Purple Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Brown Brown
Purple Brown Brown Brown Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple
Purple Brown Brown Brown Brown Brown Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown

Output:
Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown
Purple Brown Purple Purple Brown Brown Purple Brown Brown Brown Brown Brown Brown Purple Brown Brown Brown
Purple Purple Purple Purple Brown Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Brown Brown
Purple Brown Purple Brown Brown Brown Purple Brown Blue Blue Blue Blue Blue Purple Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Purple Purple Purple
Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Purple Brown
Purple Brown Brown Brown Purple Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Brown Brown
Purple Purple Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Purple Brown Brown Brown Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple
Purple Brown Brown Brown Brown Brown Purple Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple
Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Purple
Purple Brown Brown Brown Brown Brown Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown


Example 2
Input:
Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Red
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Red Gray Gray Gray Pink Pink Pink 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 Gray Pink Pink Pink Gray Gray Red Gray Gray
Gray Gray Red 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 Red 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 Gray Gray Gray Gray Gray Gray Gray
Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray

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


Example 3
Input:
Purple Purple Pink Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple
Purple Purple Pink Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Brown Brown Brown Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple
Pink Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Brown Brown Brown 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 Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink 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 Purple Purple Purple
Purple Purple Purple Purple Purple Purple Pink 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

Output:
Purple Pink Pink Pink Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Purple Purple
Purple Pink Pink Pink Brown Brown Purple Purple Pink Pink Purple Purple Purple Purple Purple Purple
Pink Purple Pink Brown Brown Brown Purple Pink Pink Pink Purple Purple Purple Purple Purple Purple
Pink Pink Purple Brown Brown Brown Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple
Pink Purple Purple Brown Brown Brown 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 Purple Purple Pink Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple


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


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 Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Blue 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 Blue Yellow Brown Brown Brown Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Blue Yellow Brown Brown Brown Yellow Yellow Yellow Blue
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Blue Blue
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Blue
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
```
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