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

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


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


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