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

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


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

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


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

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


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

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