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

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


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

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


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

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


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