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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Black Gray Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Purple Purple Black Purple Purple Purple Gray Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Purple Purple Purple Black Black Black Black Black Black Black
Black Orange Orange Black Black Black Gray Black Black Black Black Black Black Gray Gray Black Gray
Black Orange Orange 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 Black Black 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 Yellow Gray Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black

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


Example 3
Input:
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
Gray Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray 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 Black Black Yellow Yellow Yellow Black Black Black Black
Black Black Red Red Red Black Black Black Black Gray Yellow Yellow Black Black Black Gray
Black Black Red Red Gray Black Black Gray Black Black Gray Gray Black Black Black Black
Black Black Red Gray Red 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 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

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 Purple Purple Purple 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 Black Black Black Black
Black Black Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Purple 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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Pink Pink Green Green Black Black Black Black Black
Black Black Black Black Black Pink Pink Green Green Black Black Black Black Black
Black Black Black Black Black Gray Pink Green Green 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 Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black Pink Pink 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 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 Purple Purple Green Green Black Black Black Black Black
Black Black Black Black Black Purple Purple Green Green Black Black Black Black Black
Black Black Black Black Black Purple Purple Green Green Black Black Black Black Black
Black Black Black Black Black Purple 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 Black Black Black Black Black 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 Black
Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black
```
assistant