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

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


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

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


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

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


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


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