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

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


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

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


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

Output:
Gray Gray Gray Orange Orange Orange Brown Brown Brown Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray
Gray Gray Gray Orange Orange Orange Brown Brown Brown Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray
Gray Gray Gray Orange Orange Orange Brown Brown Brown Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray
Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink
Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink
Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink
Brown Brown Brown Blue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue Brown Brown Brown
Brown Brown Brown Blue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue Brown Brown Brown
Brown Brown Brown Blue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue Brown Brown Brown
Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black
Brown Brown Brown Blue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue Brown Brown Brown
Brown Brown Brown Blue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue Brown Brown Brown
Brown Brown Brown Blue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue Brown Brown Brown
Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink
Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink
Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink
Gray Gray Gray Orange Orange Orange Brown Brown Brown Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray
Gray Gray Gray Orange Orange Orange Brown Brown Brown Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray
Gray Gray Gray Orange Orange Orange Brown Brown Brown Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray


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

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