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 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 Purple Yellow Purple 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 Green Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Yellow Green Orange Black Black Black
Black Black Black Black Black Black Blue Black Black Black Orange Green Yellow Orange Orange Black Black
Black Black Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black
Black Black Black Black Blue Blue Yellow Blue Blue Black Black Black Orange Black Black Black Black
Black Black Black Black Black Blue Blue Blue 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 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 Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Blue Blue Blue Black Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Black Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Purple Purple Purple Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black


Example 2
Input:
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 Green Green Green Black
Black Black Black Black Black Black Black Black Black Black Green Green Yellow Green Green
Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black
Black Black Black Black Black Black Black Black Pink Black Black Black Green Black Black
Black Red Black Black Black Black Black Pink Pink Pink Black Black Black Black Black
Red Yellow Red Black Black Black Pink Pink Yellow Pink Pink Black Black Black Black
Black Red Black Black Black Black Black Pink Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Yellow 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

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


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 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 Green Green Green Black Black Black Black Black Black
Gray Gray Gray Gray Green Green Green Green Green Black Black Black Black Black
Gray Gray Gray Green Green Green Green Green Green Green Black Black Black Black
Gray Gray Gray Green Green Green Green Green Green Green Black Black Black Black
Gray Gray Gray Green Green Green Green Green Green Green Black Black Black Black
Black Black Black Black Green Green Green Green Green Black Black Black Black Black
Black Black Black Black Black Green Green Green Black Black Black Black Black Black
```
assistant