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 Red Red Red Red Black Black Blue Black Black Black
Black Black Red Red Red Red Black Blue Blue Blue Black Black
Black Black Red Red Black Black Black Blue Black Black Black Brown
Black Black Red Red Red Red Black Black Brown Brown Brown Brown
Black Black Red Red Red Red Black Black Brown Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Brown Black
Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Gray Gray Gray Black Black Black Brown Black Black Black Black
Black Black Gray Gray Black Black Black Brown Black Black Black Black
Black Black Gray Gray Black Black Black Gray Black Black Black Black
Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Gray Black Black Gray Gray

Output:
Black Black Red Red Red Red Black Black Blue Black Black Black
Black Black Red Red Red Red Black Blue Blue Blue Black Black
Black Black Red Red Black Black Black Blue Black Black Black Brown
Black Black Red Red Red Red Black Black Brown Brown Brown Brown
Black Black Red Red Red Red Black Black Brown Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Brown Black
Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Red Red Red Black Black Black Brown Black Black Black Black
Black Black Red Red Black Black Black Brown Black Black Black Black
Black Black Red Red Black Black Black Gray Black Black Black Black
Black Red Red Red Black Black Black Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Gray Black Black Gray Gray


Example 2
Input:
Black Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Black Purple Black Brown Brown Brown Brown Brown Black Black Black Black
Black Purple Purple Purple Purple Purple Black 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 Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Black Black Black Black Brown Brown Black Black Black
Black Black Black Black Gray Gray Black Brown Brown Brown Brown Black Black Black
Black Black Black Black Black Gray Green Black Black Brown Brown Black Black Black
Black Black Black Black Black Green Green Green Black Black Black Black Black Black
Black Black Black Black Black Green Green Green Black Black Pink Pink Black Black
Pink Pink Pink Pink Black Black Green Black Black Black Black Pink Pink Black
Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Pink
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink

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


Example 3
Input:
Black Black Black Black Black Black Black Purple Purple Purple Black
Black Black Black Black Black Black Black Gray Purple Purple Black
Yellow Yellow Yellow Yellow Black Black Gray Gray Gray Purple Black
Yellow Yellow Yellow Yellow Black Black Gray Black Black Purple Purple
Yellow Yellow Yellow Yellow Black Black Gray Black Black Black Purple
Yellow Yellow Yellow Yellow Black Black Gray Gray Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Black
Black Black Blue Blue Blue Blue Black Black Black Yellow Black
Black Black Blue Blue Blue Blue Black Black Orange Orange Orange
Black Black Blue Blue Blue Blue Black 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

Output:
Black Black Black Black Black Black Black Purple Purple Purple Black
Black Black Black Black Black Black Black Gray Purple Purple Black
Red Red Red Red Black Black Gray Gray Gray Purple Black
Red Red Red Red Black Black Gray Black Black Purple Purple
Red Red Red Red Black Black Gray Black Black Black Purple
Red Red Red Red Black Black Gray Gray Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Black
Black Black Blue Blue Blue Blue Black Black Black Yellow Black
Black Black Blue Blue Blue Blue Black Black Orange Orange Orange
Black Black Blue Blue Blue Blue Black 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


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