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

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


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

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


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

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


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


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:

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