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 Purple Purple Black Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Purple Black Black Black Black Black Brown Brown Brown Black Black Red Red Red Black
Black Purple Purple Black Black Black Black Black Black Brown Brown Black Black Black Red Black Black
Black Black Black Black Black Orange Orange Black Brown Brown Brown Black Black Black Black Black Black
Pink Pink Black Black Black Orange Orange Black Black Black Black Black Black Black Gray Black Gray
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray
Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Gray Gray Gray
Black Black Black Black Orange Orange Black Gray Gray Black Black Red Black Black Black Black Black
Black Black Black Orange Orange Orange Black Gray Gray Black Red Red Black Black Black Black Black
Black Black Orange Orange Orange Orange Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black
Black Black Black Black Blue Black Black Black Black Black Black Black Orange Black Black Black Black

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


Example 2
Input:
Black Black Black Pink Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Pink Pink Pink Black Black Yellow Black Black Yellow Black Black Purple Purple
Black Black Black Pink Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Purple Purple Black Black Orange Orange Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Purple Purple Black Black Orange Black Yellow Black Black Yellow Black Yellow Yellow Black
Black Black Purple Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Red Red Yellow Yellow Black Red
Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black
Black Black Black Red Red Black Black Black Black Black Black Black Blue Blue Black
Black Black Black Red Red Black Black Black Purple Black Black Black Blue Blue Black
Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black

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


Example 3
Input:
Black Black Black Black Pink Black Gray Gray Black Black Black Black Black Black Black Black
Black Gray Gray Gray Black Black Gray Gray Black Purple Purple Black Black Black Black Black
Red Red Gray Gray Gray Black Black Black Black Purple Purple Black Black Black Black Black
Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Black Black Black Black Black Blue Blue Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black
Black Black Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black
Black Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Gray Black Black Black Gray Black Gray Gray Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Gray Gray Gray Black Black Yellow Yellow Yellow Yellow
Black Black Gray Gray Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Black Black Gray Gray Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow

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


Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Purple Black Purple Purple Black Black Black Blue Blue Blue
Black Black Black Black Purple Purple Purple Black Black Black Black Blue Blue Blue
Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black
Black Black Red Black Purple Purple Black Purple Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black
Red Red Brown Black Black Black Brown Black Black Gray Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Black Gray Gray Gray Gray Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Black Black Black Purple Black Black Black
Black Black Black Gray Gray Gray Gray Black Black Black Purple Purple Black Black
Black Black Black Gray Gray Gray Gray 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 Blue Blue
Black Black Black Black Purple Black Purple Purple Black Black Black Blue Blue Blue
Black Black Black Black Purple Purple Purple Black Black Black Black Blue Blue Blue
Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black
Black Black Red Black Purple Purple Black Purple Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black
Green Green Brown Black Black Black Brown Black Black Gray Black Black Black Black
Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Black Gray Gray Gray Gray Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Black Black Black Purple Black Black Black
Black Black Black Gray Gray Gray Gray Black Black Black Purple Purple Black Black
Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black
```
assistant