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 Red Red Black Black Black Black Black Black Black Black Black Black
Black Black 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 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 Black Black Black Black Black Black Black Black
Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Blue Blue Black Black Blue Blue Black Black
Black Black Black Black Black Blue Blue Blue Black Blue Blue Black Black Black
Black Black Black Black Blue Blue Black Black Black Blue Blue Black Black Black
Black Red Red Black Blue Blue Black Black Black Black Blue Blue Black Black
Black Black Red Black Blue Blue Black Black Black Black Black Black Black Black
Black Red Red Black Blue Blue Black Black Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black

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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Green Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Black Black Black Black Black Black Green Green Black Black
Black Gray Gray Black Black Pink Pink Pink Pink Green Green Black Black Black
Black Gray Gray Black Black Pink 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 Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Purple 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 Green Green Green Green Black Black Purple Purple Purple Black Black
Black Black Black Black Black Green Green Black Black Purple Purple Black Black Black
Black Black Black Green Green Green Green Black Black Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 3
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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black 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 Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black
Purple Purple Black Black Black Black Black Purple Black Black Black Black Black Black Black Red Red Black
Black Purple Black Black Black Green Green Purple Black Black Black Black Black Black Black Red Red Black
Purple Purple Black Black Black Green Green Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Green 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 Blue Blue Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black

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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black 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 Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black
Purple Purple Black Black Black Black Black Purple Black Black Black Black Black Black Black Red Red Black
Black Purple Black Black Black Green Green Purple Black Black Black Black Black Black Black Red Red Black
Purple Purple Black Black Black Green Green Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Green 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 Pink Pink Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black
Black Pink Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Green Black Black Black Black Black Black 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 Black Orange Orange Black Black Black Black Black
Black Black Black Black Black Orange Orange Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Purple Black Black Black Black Black
Black Black Black Gray Black Purple Purple Black Black Black Black Black
Black Black Gray Gray Gray Black Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Black Black Green Black Black Yellow Yellow Yellow Black Black
Black Black Black Green Green Green Black Black Black Yellow Black Black
Black Black Black Black Green Black Black Black Black Yellow Black Black
Black Blue Blue Blue Blue Black Black Black Black Yellow Black Black
Black Blue Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Orange Orange Black Black Black Black Black
Black Black Black Black Black Orange Orange Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Purple Black Black Black Black Black
Black Black Black Gray Black Purple Purple Black Black Black Black Black
Black Black Gray Gray Gray Black Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Black Black Green Black Black Yellow Yellow Yellow Black Black
Black Black Black Green Green Green Black Black Black Yellow Black Black
Black Black Black Black Green Black Black Black Black Yellow Black Black
Black Pink Pink Pink Pink Black Black Black Black Yellow Black Black
Black Pink Pink Pink Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant