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 Red Black Black Black Black Black Black Red Black Black Black Black Black
Brown Brown Brown Black Red Black Black Black Black Black Black Red Black Blue Blue Blue Blue
Brown Brown Brown Black Red Black Black Black Black Black Black Red Black Blue Blue Blue Blue
Brown Brown Brown Black Red Black Black Black Black Black Black Red Black Blue Blue Blue Blue
Black Black Black Black Red Black Black Black Black Black Black Red Black Blue Blue Blue Blue
Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Red Black Purple Purple Purple Purple Black Red Black Purple Purple Purple Purple
Black Black Black Black Red Black Purple Purple Purple Purple Black Red Black Purple Purple Purple Purple
Black Black Black Black Red Black Purple Purple Purple Purple Black Red Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black

Output:
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple
Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple
Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue


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

Output:
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue
Brown Brown Blue Blue Pink Pink Blue Purple Purple Blue Blue Blue Blue Blue Blue
Brown Brown Blue Blue Blue Blue Blue Purple Purple Blue Blue Orange Orange Blue Blue
Brown Brown Blue Blue Blue Blue Blue Purple Purple Blue Blue Orange Orange Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue


Example 3
Input:
Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Green Green Green
Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Green Green Green
Black Pink Pink Pink Pink 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
Red Red Red Red Red Red Red Red Red Red Red 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 Pink Pink Pink Black Black Green Green Green Black
Purple Purple Black Black Black Black Black Pink Pink Pink Black Black Green Green Green Black
Purple Purple Black Black Black Black Black Pink Pink Pink Black Black Green Green Green Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Green Green Green Black
Purple 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

Output:
Blue Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green
Blue Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green
Blue Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Green Green Green Blue
Purple Purple Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Green Green Green Blue
Purple Purple Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Green Green Green Blue
Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Blue
Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue


Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Black Black Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Red Black Black Black
Black Blue Blue Black Black Black Gray Gray Black Black Red Black Black Black
Black Blue Blue Black Black Black Black Black Black Black Red Black Black Black
Black Blue Blue Black Black Black Black Black Black Black Red Black Black Black
Black Blue Blue Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Black Brown Brown Black Red Black Black Black
Black Black Black Black Black Black Black Brown Brown Black Red Black Black Black
Black Black Black Black Black Black Black Brown Brown Black Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Red 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Blue Blue Black Black Black Gray Gray Black Black Black Black Black Black
Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant