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

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


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

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


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

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