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

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


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

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


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

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


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


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