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

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


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

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


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

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


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


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:

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