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:
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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Black Purple Purple Black Black Black
Black Black Black Black Black Black Purple Purple Purple Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Purple Black Purple Black Black Black Black
Black Black Black Black Black Purple Purple Black Purple Purple Black Black Black
Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Brown Brown Yellow Blue Black Blue Blue Black Black
Black Black Yellow Black Brown Yellow Yellow Blue Blue Blue Blue Black Black
Black Black Yellow Yellow Yellow Yellow Brown Brown Black Black Blue Black Black
Black Black Black Yellow Yellow Brown Brown Brown Black Black Blue 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

Output:
Gray 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 Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Black Purple Purple Black Black Black
Black Black Black Black Black Black Purple Purple Purple Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Purple Black Purple Black Black Black Black
Black Black Black Black Black Purple Purple Black Purple Purple Black Black Black
Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Brown Brown Yellow Blue Black Blue Blue Black Black
Black Black Yellow Black Brown Yellow Yellow Blue Blue Blue Blue Black Black
Black Black Yellow Yellow Yellow Yellow Brown Brown Black Black Blue Black Black
Black Black Black Yellow Yellow Brown Brown Brown Black Black Blue 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


Example 2
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 Purple Purple Purple Black Black Black
Black Black Black Black Black Pink Purple Black Purple Black Black Black
Black Black Black Black Pink Pink Pink Orange Orange Orange Orange Black
Black Black Black Black Purple Pink Orange Orange Orange Orange Black Black
Black Black Black Black Black Black Orange Orange Orange 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 Green Green Green Green Green Black
Black Black Black Black Black Black Green Green Black Green Green Black
Black Black Black Black Black Black Black Green Green 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

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


Example 3
Input:
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 Gray Black Gray Black Black Black Black Black Black Black
Black Black Gray Gray Gray Black Black Black Black Black Black Black
Black Black Gray Black Gray Black Black Black Black Black Black Black
Black Black Gray Black Gray 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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Pink Pink Black Black
Black Black Black Black Black Black Pink Pink Pink Black Black Black
Black Black Black Black Black Black Pink Pink Pink Black Black Black
Black Black Black Black Black Black Pink Pink Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Black

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


Here is the input grid for the test example:
Input:
Purple Black Black Red Red Red Red Black Black Black Black Black Black Black
Black Black Black Red Red Red Red Black Black Black Black Black Black Black
Black Black Black Red Black Black 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 Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black
Black Black Black Black 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 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:

```
Purple Black Black Red Red Red Red Black Black Black Black Black Black Purple
Black Black Black Red Red Red Red Black Black Black Black Black Black Black
Black Black Black Red Black Black 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 Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black
Black Black Black Black 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 Black Black
```
assistant