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

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


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

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


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

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


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

```
Yellow Yellow Purple Purple Purple Purple Yellow Yellow Orange Orange Brown Brown Orange Orange Blue Blue Orange Orange
Yellow Yellow Purple Purple Purple Purple Yellow Yellow Orange Orange Brown Brown Orange Orange Blue Blue Orange Orange
Brown Brown Brown Brown Orange Orange Brown Brown Yellow Yellow Brown Brown Pink Pink Brown Brown Gray Gray
Brown Brown Brown Brown Orange Orange Brown Brown Yellow Yellow Brown Brown Pink Pink Brown Brown Gray Gray
Purple Purple Pink Pink Purple Purple Gray Gray Pink Pink Orange Orange Blue Blue Yellow Yellow Orange Orange
Purple Purple Pink Pink Purple Purple Gray Gray Pink Pink Orange Orange Blue Blue Yellow Yellow Orange Orange
Blue Blue Purple Purple Brown Brown Blue Blue Brown Brown Yellow Yellow Orange Orange Blue Blue Blue Blue
Blue Blue Purple Purple Brown Brown Blue Blue Brown Brown Yellow Yellow Orange Orange Blue Blue Blue Blue
Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Orange Orange Brown Brown Pink Pink Yellow Yellow
Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Orange Orange Brown Brown Pink Pink Yellow Yellow
Orange Orange Yellow Yellow Gray Gray Brown Brown Orange Orange Orange Orange Gray Gray Blue Blue Gray Gray
Orange Orange Yellow Yellow Gray Gray Brown Brown Orange Orange Orange Orange Gray Gray Blue Blue Gray Gray
Pink Pink Blue Blue Yellow Yellow Brown Brown Purple Purple Purple Purple Orange Orange Pink Pink Brown Brown
Pink Pink Blue Blue Yellow Yellow Brown Brown Purple Purple Purple Purple Orange Orange Pink Pink Brown Brown
Purple Purple Gray Gray Purple Purple Purple Purple Orange Orange Purple Purple Yellow Yellow Purple Purple Brown Brown
Purple Purple Gray Gray Purple Purple Purple Purple Orange Orange Purple Purple Yellow Yellow Purple Purple Brown Brown
Purple Purple Pink Pink Pink Pink Purple Purple Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange
Purple Purple Pink Pink Pink Pink Purple Purple Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange
```
assistant