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:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Orange Red Purple Brown Brown Yellow Gray Blue Pink Orange Yellow
Yellow Orange Black Purple Purple Brown Brown Purple Purple Pink Orange Yellow
Yellow Brown Brown Brown Brown Gray Purple Gray Blue Blue Gray Yellow
Yellow Yellow Purple Purple Purple Orange Purple Green Blue Blue Green Yellow
Yellow Black Black Black Orange Brown Green Gray Blue Pink Brown Yellow
Yellow Black Black Black Orange Brown Green Gray Blue Pink Brown Yellow
Yellow Yellow Purple Purple Purple Orange Purple Green Blue Blue Green Yellow
Yellow Brown Brown Brown Brown Gray Purple Gray Blue Blue Gray Yellow
Yellow Orange Black Purple Purple Brown Brown Purple Purple Pink Orange Yellow
Yellow Orange Red Purple Brown Brown Yellow Gray Blue Pink Orange Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow

Output:
Orange Orange Brown Yellow Black Black Yellow Brown Orange Orange Yellow Yellow
Red Black Brown Purple Black Black Purple Brown Black Red Yellow Yellow
Purple Purple Brown Purple Black Black Purple Brown Purple Purple Yellow Yellow
Brown Purple Brown Purple Orange Orange Purple Brown Purple Brown Yellow Yellow
Brown Brown Gray Orange Brown Brown Orange Gray Brown Brown Yellow Yellow
Yellow Brown Purple Purple Green Green Purple Purple Brown Yellow Yellow Yellow
Gray Purple Gray Green Gray Gray Green Gray Purple Gray Yellow Yellow
Blue Purple Blue Blue Blue Blue Blue Blue Purple Blue Yellow Yellow
Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Yellow Yellow
Orange Orange Gray Green Brown Brown Green Gray Orange Orange 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


Example 2
Input:
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Orange Orange Black Purple Black Purple Black Orange Orange Brown
Brown Yellow Orange Gray Pink Pink Pink Gray Orange Yellow Brown
Brown Gray Orange Orange Pink Pink Pink Orange Orange Gray Brown
Brown Gray Gray Purple Green Green Green Purple Gray Gray Brown
Brown Gray Yellow Purple Green Blue Green Purple Yellow Gray Brown
Brown Gray Yellow Purple Green Green Green Purple Yellow Gray Brown
Brown Gray Black Purple Pink Black Pink Purple Black Gray Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown

Output:
Gray Gray Gray Gray Gray Yellow Orange Brown Brown Brown Brown
Black Yellow Yellow Gray Orange Orange Orange Brown Brown Brown Brown
Purple Purple Purple Purple Orange Gray Black Brown Brown Brown Brown
Pink Green Green Green Pink Pink Purple Brown Brown Brown Brown
Black Green Blue Green Pink Pink Black Brown Brown Brown Brown
Pink Green Green Green Pink Pink Purple Brown Brown Brown Brown
Purple Purple Purple Purple Orange Gray Black Brown Brown Brown Brown
Black Yellow Yellow Gray Orange Orange Orange Brown Brown Brown Brown
Gray Gray Gray Gray Gray Yellow Orange Brown Brown Brown Brown


Example 3
Input:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Black Black Black Brown Brown Black Black Black Gray
Gray Orange Orange Black Brown Brown Black Orange Orange Gray
Gray Orange Orange Red Brown Brown Red Orange Orange Gray
Gray Blue Pink Pink Pink Pink Pink Pink Blue Gray
Gray Blue Black Green Gray Gray Green Black Blue Gray
Gray Gray Gray Orange Green Green Orange Gray Gray Gray
Gray Black Gray Orange Gray Gray Orange Gray Black Gray
Gray Black Gray Yellow Purple Purple Yellow Gray Black Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray

Output:
Black Black Gray Blue Blue Orange Orange Black Gray Gray
Gray Gray Gray Black Pink Orange Orange Black Gray Gray
Yellow Orange Orange Green Pink Red Black Black Gray Gray
Purple Gray Green Gray Pink Brown Brown Brown Gray Gray
Purple Gray Green Gray Pink Brown Brown Brown Gray Gray
Yellow Orange Orange Green Pink Red Black Black Gray Gray
Gray Gray Gray Black Pink Orange Orange Black Gray Gray
Black Black Gray Blue Blue Orange Orange Black 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:
Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Blue Black Black Blue Purple Brown
Brown Purple Purple Gray Gray Purple Purple Brown
Brown Blue Purple Black Black Purple Blue Brown
Brown Blue Blue Green Green Blue Blue Brown
Brown Yellow Blue Green Green Blue Yellow Brown
Brown Red Blue Gray Gray Blue Red Brown
Brown Brown Brown Brown Brown Brown Brown Brown


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:

```
Red Yellow Blue Blue Purple Purple Brown Brown
Blue Blue Blue Purple Purple Blue Brown Brown
Gray Green Green Black Gray Black Brown Brown
Gray Green Green Black Gray Black Brown Brown
Blue Blue Blue Purple Purple Blue Brown Brown
Red Yellow Blue Blue Purple Purple Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown
```
assistant