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 Black Black Black Black Black Black Black Black
Black Black Black Black 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 Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Pink Black Black Black Black Black Pink Black Black Black
Black Black Green Black Black Black Black Brown Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Green 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Pink Black Brown Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Pink Black Brown Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Pink Black Brown Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Pink Black Brown Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black 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 Orange Black Black Black Black Black Pink Black Black Black Black Black Pink Pink Pink Pink
Green Green Green Black Black Black Black Brown Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Orange Black
Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Orange Black


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 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 Brown Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Green Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black
Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Black Black Black Orange Black
Black Black Black Black Black Black Blue Black Black Black Black 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

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


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Green Black Black Black 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 Blue Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

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


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