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 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 Green Black Black
Black Black Black Black Black Black Pink Black Black Black Black Green Green Green Black
Black Black Black Black Black Black Pink Black Black Black Green Green Green Green Green
Black Black Black Purple Purple Purple Red Red Red Black Black Green Green Green Black
Black Black Black Black Yellow Black Red Red Red Black Black Black Green Black Black
Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black
Black Black Yellow Yellow 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 Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 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 Black Black Black Black Black 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 Pink Black Black Black Black Green Green Green Black
Black Black Black Black Black Black Pink Black Black Black Green Green Green Green Green
Black Black Black Purple Purple Purple Red Red Red Black Black Green Green Green Black
Black Black Black Black Yellow Black Red Red Red Black Black Black Green Black Black
Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black
Black Black Yellow Yellow 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 Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


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

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


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

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


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


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 Black Black Black Black Black Black Black Black Black Black Black Black
Black 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 Green Green Green Black Black Red Red Red Red Black Black Black Black Black
Green Green Green Green Green Black Red Red Red Red Black Black Black Black Black
Black Green Green Green Black Black Red Red Red Red Black Black Black Black Black
Black Black Green Black Black Black Red Red Red Red Black Black Black Brown Black
Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown
Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Brown Black
Black Black Black Black Black Black Orange Orange 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 Green Black Black
Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Pink Pink Pink Black Black Black
Black Yellow Yellow Yellow Black Black Black Black Black Black Pink Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
```
assistant