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


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