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:
Yellow Yellow Black Red Black Brown Yellow Brown Black Black Black Black Black Black Yellow Black Gray Black Black Yellow Black Black Gray Gray Black Gray Black Red Brown
Black Yellow Black Black Brown Black Black Yellow Black Brown Gray Brown Yellow Black Gray Black Brown Yellow Yellow Yellow Gray Black Black Black Black Black Red Black Gray
Yellow Black Black Black Black Black Black Black Brown Black Yellow Yellow Gray Brown Red Black Black Yellow Red Gray Black Yellow Black Black Red Black Brown Gray Black
Black Black Gray Black Black Brown Red Gray Red Gray Red Brown Red Black Gray Brown Yellow Black Gray Gray Gray Black Black Black Black Black Black Black Black
Gray Black Black Brown Black Black Brown Black Black Red Black Black Gray Black Brown Brown Brown Gray Red Black Yellow Black Yellow Black Black Black Black Brown Gray
Black Red Red Black Brown Black Gray Black Red Yellow Black Brown Black Black Gray Brown Black Gray Gray Black Black Black Black Black Black Yellow Black Gray Red
Red Black Brown Gray Black Gray Yellow Black Red Black Black Black Gray Red Yellow Black Black Red Black Black Black Gray Black Black Red Black Red Red Black
Black Black Black Black Black Yellow Yellow Yellow Black Yellow Black Black Brown Black Brown Brown Brown Gray Black Gray Yellow Red Black Yellow Yellow Gray Gray Brown Yellow
Brown Black Black Gray Brown Black Brown Gray Red Brown Black Brown Black Yellow Black Yellow Black Red Yellow Black Brown Red Black Black Black Black Brown Black Yellow
Black Black Red Black Red Gray Black Black Black Red Brown Black Black Black Red Black Red Yellow Black Yellow Gray Black Brown Brown Black Red 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 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 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 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 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 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 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 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 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 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 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:
Yellow Yellow Black Red Black Brown Yellow Brown Black Black Black Black Black Black Yellow Black Gray Black Black Yellow Black Black Gray Gray Black Gray Black Red Brown
Black Yellow Black Black Brown Black Black Yellow Black Brown Gray Brown Yellow Black Gray Black Brown Yellow Yellow Yellow Gray Black Black Black Black Black Red Black Gray
Yellow Black Black Black Black Black Black Black Brown Black Yellow Yellow Gray Brown Red Black Black Yellow Red Gray Black Yellow Black Black Red Black Brown Gray Black
Black Black Gray Black Black Brown Red Gray Red Gray Red Brown Red Black Gray Brown Yellow Black Gray Gray Gray Black Black Black Black Black Black Black Black
Gray Black Black Brown Black Black Brown Black Black Red Black Black Gray Black Brown Brown Brown Gray Red Black Yellow Black Yellow Black Black Black Black Brown Gray
Black Red Red Black Brown Black Gray Black Red Yellow Black Brown Black Black Gray Brown Black Gray Gray Black Black Black Black Black Black Yellow Black Gray Red
Red Black Brown Gray Black Gray Yellow Black Red Black Black Black Gray Red Yellow Black Black Red Black Black Black Gray Black Black Red Black Red Red Black
Black Black Black Black Black Yellow Yellow Yellow Black Yellow Black Black Brown Black Brown Brown Brown Gray Black Gray Yellow Red Black Yellow Yellow Gray Gray Brown Yellow
Brown Black Black Gray Brown Black Brown Gray Red Brown Black Brown Black Yellow Black Yellow Black Red Yellow Black Brown Red Black Black Black Black Brown Black Yellow
Black Black Red Black Red Gray Black Black Black Red Brown Black Black Black Red Black Red Yellow Black Yellow Gray Black Brown Brown Black Red 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 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 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 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 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 Black Black Black Black Black Black Black Black Black
Black Black Red Black Red Gray Black Black Black Red Brown Black Black Black Red Black Red Yellow Black Yellow Gray Black Brown Brown Black Red Black Black Black
Brown Black Black Gray Brown Black Brown Gray Red Brown Black Brown Black Yellow Black Yellow Black Red Yellow Black Brown Red Black Black Black Black Brown Black Yellow
Black Black Black Black Black Yellow Yellow Yellow Black Yellow Black Black Brown Black Brown Brown Brown Gray Black Gray Yellow Red Black Yellow Yellow Gray Gray Brown Yellow
Red Black Brown Gray Black Gray Yellow Black Red Black Black Black Gray Red Yellow Black Black Red Black Black Black Gray Black Black Red Black Red Red Black
Black Red Red Black Brown Black Gray Black Red Yellow Black Brown Black Black Gray Brown Black Gray Gray Black Black Black Black Black Black Yellow Black Gray Red
Gray Black Black Brown Black Black Brown Black Black Red Black Black Gray Black Brown Brown Brown Gray Red Black Yellow Black Yellow Black Black Black Black Brown Gray
Black Black Gray Black Black Brown Red Gray Red Gray Red Brown Red Black Gray Brown Yellow Black Gray Gray Gray Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Brown Black Yellow Yellow Gray Brown Red Black Black Yellow Red Gray Black Yellow Black Black Red Black Brown Gray Black
Black Yellow Black Black Brown Black Black Yellow Black Brown Gray Brown Yellow Black Gray Black Brown Yellow Yellow Yellow Gray Black Black Black Black Black Red Black Gray
Yellow Yellow Black Red Black Brown Yellow Brown Black Black Black Black Black Black Yellow Black Gray Black Black Yellow Black Black Gray Gray Black Gray Black Red Brown


Example 2
Input:
Purple Black Yellow Black Yellow Purple Purple Black Black Black Yellow Black
Yellow Black Black Black Yellow Black Yellow Black Purple Purple Purple Purple
Yellow Purple Black Purple Yellow Yellow Black Purple 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
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 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 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:
Purple Black Yellow Black Yellow Purple Purple Black Black Black Yellow Black
Yellow Black Black Black Yellow Black Yellow Black Purple Purple Purple Purple
Yellow Purple Black Purple Yellow Yellow Black Purple 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
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 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
Yellow Purple Black Purple Yellow Yellow Black Purple Black Yellow Yellow Yellow
Yellow Black Black Black Yellow Black Yellow Black Purple Purple Purple Purple
Purple Black Yellow Black Yellow Purple Purple Black Black Black Yellow Black


Example 3
Input:
Orange Blue Blue Black Blue Orange Orange Orange Black Orange Blue Blue
Black Black Black Blue Blue Black Orange Black Orange Orange Black Blue
Black Orange Orange Black Orange Black Black Orange Black Black Blue Black
Black Blue Black Black Black Orange Black Orange Orange Orange Black Blue
Blue Orange Orange Black Black Black Black Black Blue 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 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 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 Black Black Black Black Black Black Black Black

Output:
Orange Blue Blue Black Blue Orange Orange Orange Black Orange Blue Blue
Black Black Black Blue Blue Black Orange Black Orange Orange Black Blue
Black Orange Orange Black Orange Black Black Orange Black Black Blue Black
Black Blue Black Black Black Orange Black Orange Orange Orange Black Blue
Blue Orange Orange Black Black Black Black Black Blue 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 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
Blue Orange Orange Black Black Black Black Black Blue Orange Black Black
Black Blue Black Black Black Orange Black Orange Orange Orange Black Blue
Black Orange Orange Black Orange Black Black Orange Black Black Blue Black
Black Black Black Blue Blue Black Orange Black Orange Orange Black Blue
Orange Blue Blue Black Blue Orange Orange Orange Black Orange Blue Blue


Here is the input grid for the test example:
Input:
Black Black Orange Red Black Orange Black Purple Red Black Black Red Red Orange
Orange Purple Purple Purple Black Red Black Purple Black Purple Orange Red Red Red
Red Red Black Black Black Black Black Purple Black Purple Orange Orange Black Black
Black Red Black Orange Black Black Black Black Orange Black Orange Black Black Black
Orange Black Red Orange Black Red Red Black Black Black Orange Black Black 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 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 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 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 Orange Red Black Orange Black Purple Red Black Black Red Red Orange
Orange Purple Purple Purple Black Red Black Purple Black Purple Orange Red Red Red
Red Red Black Black Black Black Black Purple Black Purple Orange Orange Black Black
Black Red Black Orange Black Black Black Black Orange Black Orange Black Black Black
Orange Black Red Orange Black Red Red Black Black Black Orange Black Black 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 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
Orange Black Red Orange Black Red Red Black Black Black Orange Black Black Purple
Black Red Black Orange Black Black Black Black Orange Black Orange Black Black Black
Red Red Black Black Black Black Black Purple Black Purple Orange Orange Black Black
Orange Purple Purple Purple Black Red Black Purple Black Purple Orange Red Red Red
Black Black Orange Red Black Orange Black Purple Red Black Black Red Red Orange
```
assistant