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

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


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

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


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

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