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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Orange Black Black Black Black Black
Black Black Purple Black Purple Black Black Black Black Black Black Orange Black Black Black Black Black
Black Black Purple Black Purple Black Black Black Black Black Black Orange Black Black Black Black Black
Black Black Purple Black Purple Black Black Black Black Pink Black Orange Black Black Black Black Black
Green Green Purple Green Black Black Green Black Black Pink Black Orange Black Black Black Black Black
Black Black Black Black Black Black Green Black Black Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Green Orange Orange Pink Black Yellow Black Black Black Black Black
Black Black Black Black Black Black Green Black Black Pink Black Yellow Black Black Black Black Purple
Black Black Black Black Black Brown Green Black Black Black Black Yellow Black Gray Gray Gray Purple
Black Black Black Black Black Brown Black Black Black Black Black Yellow Black Black Black Black Purple
Black Black Black Black Black Brown Black Black Black Black Black Yellow Black Black Black Black Purple

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


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
Black Blue Blue Blue Blue Red Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Yellow Blue Blue Black Blue Black
Black Black Black Black Black Black Black Blue Green Yellow Black Black Brown Blue Black
Black Black Black Black Black Black Black Blue Green Black Black Black Brown Blue Black
Black Black Black Black Black Black Black Blue Green Black Black Black Brown Blue Black
Black Black Black Red Red Red Black Blue Blue Black Black Black Black Blue Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Purple

Output:
Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Yellow Blue Blue Black Yellow Black
Black Black Black Black Black Black Black Blue Green Yellow Black Black Yellow Yellow Black
Black Black Black Black Black Black Black Blue Green Black Black Black Yellow Yellow Black
Black Black Black Black Black Black Black Blue Green Black Black Black Yellow Yellow Black
Black Black Black Yellow Yellow Yellow Black Blue Blue Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow


Example 3
Input:
Brown 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 Black Black
Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Pink
Black Black Black Black Black Black Red Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Gray Red Black Black Purple Black Black Black Black Black Black
Black Black Black Red Red Gray Red Red Red Purple Black Black Black Black Black Black
Black Black Black Black Black Gray Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Gray Black Black Black Black Black Black Orange Black Black Black
Black Black Black Black Black Gray Black Black Black Black Black Black Orange Black Black Black

Output:
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 Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Red Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Gray Red Black Black Purple Black Black Black Black Black Black
Black Black Black Red Red Gray Red Red Red Purple Black Black Black Black Black Black
Black Black Black Black Black Gray Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Gray Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Gray Black Black Black Black Black Black Red Black Black Black


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