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

Output:
Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Black Black Black Brown Black Black Black Black Black Blue Black Black
Black Blue Blue Blue Black Black Black Brown Black Black Black Blue Black Black Black
Gray Black Blue Blue Blue Black Black Black Brown Black Blue Black Black Black Black
Black Pink Black Blue Blue Blue Black Brown Purple Brown Black Black Black Black Black
Black Black Pink Black Blue Blue Blue Black Brown Purple Brown Black Black Black Black
Black Black Black Pink Black Blue Blue Blue Black Brown Purple Brown Black Black Black
Black Black Black Black Pink Black Blue Blue Black Black Brown Purple Brown Black Black
Black Black Black Black Black Pink Black Blue Black Black Black Brown Purple Brown Black
Black Black Black Black Black Black Pink Black Blue Black Black Black Purple Purple Black
Black Black Black Black Black Black Black Pink Black Blue Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Pink Black Blue Black Black Black Black


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

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


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


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