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

Output:
Red Red Brown Brown Gray Gray Gray Gray Red Red Yellow Yellow Purple Purple Blue Blue Brown Brown Red Red Red Red Blue Blue
Red Red Brown Brown Gray Gray Gray Gray Red Red Yellow Yellow Purple Purple Blue Blue Brown Brown Red Red Red Red Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Gray Gray Yellow Yellow Yellow Yellow Gray Gray Red Red Green Green Green Green Brown Brown Green Green Red Red Purple Purple Purple Purple
Gray Gray Yellow Yellow Yellow Yellow Gray Gray Red Red Green Green Green Green Brown Brown Green Green Red Red Purple Purple Purple Purple
Gray Gray Blue Blue Gray Gray Blue Blue Red Red Purple Purple Yellow Yellow Brown Brown Gray Gray Red Red Purple Purple Green Green
Gray Gray Blue Blue Gray Gray Blue Blue Red Red Purple Purple Yellow Yellow Brown Brown Gray Gray Red Red Purple Purple Green Green
Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Gray Gray Purple Purple Brown Brown Blue Blue Red Red Gray Gray Purple Purple Purple Purple Red Red Red Red Purple Purple Red Red
Gray Gray Purple Purple Brown Brown Blue Blue Red Red Gray Gray Purple Purple Purple Purple Red Red Red Red Purple Purple Red Red
Green Green Brown Brown Purple Purple Green Green Red Red Blue Blue Green Green Gray Gray Green Green Red Red Yellow Yellow Brown Brown
Green Green Brown Brown Purple Purple Green Green Red Red Blue Blue Green Green Gray Gray Green Green Red Red Yellow Yellow Brown Brown


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

Output:
Yellow Yellow Red Red Purple Purple Green Green Red Red Purple Purple Red Red Brown Brown Red Red Purple Purple
Yellow Yellow Red Red Purple Purple Green Green Red Red Purple Purple Red Red Brown Brown Red Red Purple Purple
Blue Blue Red Red Gray Gray Purple Purple Red Red Yellow Yellow Red Red Gray Gray Red Red Gray Gray
Blue Blue Red Red Gray Gray Purple Purple Red Red Yellow Yellow Red Red Gray Gray Red Red Gray Gray
Blue Blue Brown Brown Purple Purple Brown Brown Red Red Blue Blue Red Red Red Red Red Red Yellow Yellow
Blue Blue Brown Brown Purple Purple Brown Brown Red Red Blue Blue Red Red Red Red Red Red Yellow Yellow
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Gray Gray Blue Blue Yellow Yellow Yellow Yellow Red Red Purple Purple Red Red Brown Brown Red Red Blue Blue
Gray Gray Blue Blue Yellow Yellow Yellow Yellow Red Red Purple Purple Red Red Brown Brown Red Red Blue Blue
Purple Purple Red Red Blue Blue Gray Gray Red Red Blue Blue Red Red Blue Blue Red Red Brown Brown
Purple Purple Red Red Blue Blue Gray Gray Red Red Blue Blue Red Red Blue Blue Red Red Brown Brown


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

Output:
Gray Gray Red Red Purple Purple Brown Brown Red Red Blue Blue Green Green Green Green Gray Gray Gray Gray Blue Blue
Gray Gray Red Red Purple Purple Brown Brown Red Red Blue Blue Green Green Green Green Gray Gray Gray Gray Blue Blue
Gray Gray Red Red Green Green Gray Gray Red Red Brown Brown Blue Blue Yellow Yellow Blue Blue Gray Gray Red Red
Gray Gray Red Red Green Green Gray Gray Red Red Brown Brown Blue Blue Yellow Yellow Blue Blue Gray Gray Red Red
Brown Brown Red Red Red Red Blue Blue Gray Gray Yellow Yellow Blue Blue Purple Purple Green Green Purple Purple Blue Blue
Brown Brown Red Red Red Red Blue Blue Gray Gray Yellow Yellow Blue Blue Purple Purple Green Green Purple Purple Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Purple Purple Red Red Blue Blue Green Green Brown Brown Yellow Yellow Gray Gray Red Red Yellow Yellow Purple Purple Purple Purple
Purple Purple Red Red Blue Blue Green Green Brown Brown Yellow Yellow Gray Gray Red Red Yellow Yellow Purple Purple Purple Purple
Red Red Red Red Purple Purple Yellow Yellow Brown Brown Green Green Green Green Gray Gray Green Green Blue Blue Blue Blue
Red Red Red Red Purple Purple Yellow Yellow Brown Brown Green Green Green Green Gray Gray Green Green Blue Blue Blue Blue
Purple Purple Red Red Gray Gray Green Green Blue Blue Brown Brown Purple Purple Brown Brown Gray Gray Purple Purple Red Red
Purple Purple Red Red Gray Gray Green Green Blue Blue Brown Brown Purple Purple Brown Brown Gray Gray Purple Purple Red Red


Here is the input grid for the test example:
Input:
Gray Gray Gray Gray Red Red Green Green Red Red Blue Blue Red Red Red Red Yellow Yellow
Gray Gray Gray Gray Red Red Green Green Red Red Blue Blue Red Red Red Red Yellow Yellow
Purple Purple Yellow Yellow Blue Blue Purple Purple Gray Gray Yellow Yellow Blue Blue Gray Gray Yellow Yellow
Purple Purple Yellow Yellow Blue Blue Purple Purple Gray Gray Yellow Yellow Blue Blue Gray Gray Yellow Yellow
Green Green Red Red Yellow Yellow Red Red Red Red Blue Blue Brown Brown Blue Blue Purple Purple
Green Green Red Red Yellow Yellow Red Red Red Red Blue Blue Brown Brown Blue Blue Purple Purple
Green Green Gray Gray Green Green Blue Blue Green Green Brown Brown Yellow Yellow Blue Blue Orange Orange
Green Green Gray Gray Green Green Blue Blue Green Green Brown Brown Yellow Yellow Blue Blue Orange Orange
Brown Brown Green Green Orange Orange Gray Gray Brown Brown Red Red Purple Purple Gray Gray Pink Pink
Brown Brown Green Green Orange Orange Gray Gray Brown Brown Red Red Purple Purple Gray Gray Pink Pink
Purple Purple Red Red Red Red Blue Blue Red Red Brown Brown Blue Blue Brown Brown Yellow Yellow
Purple Purple Red Red Red Red Blue Blue Red Red Brown Brown Blue Blue Brown Brown Yellow Yellow
Brown Brown Purple Purple Red Red Yellow Yellow Gray Gray Blue Blue Red Red Gray Gray Purple Purple
Brown Brown Purple Purple Red Red Yellow Yellow Gray Gray Blue Blue Red Red Gray Gray Purple Purple
Brown Brown Purple Purple Purple Purple Purple Purple Blue Blue Green Green Yellow Yellow Blue Blue Brown Brown
Brown Brown Purple Purple Purple Purple Purple Purple Blue Blue Green Green Yellow Yellow Blue Blue Brown Brown
Gray Gray Purple Purple Gray Gray Purple Purple Blue Blue Pink Pink Yellow Yellow Blue Blue Purple Purple
Gray Gray Purple Purple Gray Gray Purple Purple Blue Blue Pink Pink Yellow Yellow Blue Blue Purple Purple


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