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:
Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Black Blue Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black
Black Black Black Yellow Yellow Yellow Yellow Blue Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Black Black
Black Blue Black Black Pink Blue Blue Yellow Black Black Black Black Pink
Black Black Blue Black Black Black Black Black Blue Black Black Yellow Black
Black Black Black Black Black Black Black Yellow Black Black Black Black Blue
Black Black Blue Black Black Black Pink Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black Blue Black Black
Black Black Blue Blue Blue Blue Blue Black Blue Black Black Blue Black
Black Black Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black
Black Blue Blue Blue Blue Blue Pink Black Blue Pink Blue Black Black
Black Black Blue Blue Blue Blue Black Black Blue Black Yellow Black Black
Black Black Blue Blue Blue Blue Blue Black Pink Pink Pink Pink Black
Black Black Blue Blue Blue Blue Blue Blue Pink Black Blue Pink Black
Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Black
Black Blue Black Black Black Black Black Black Pink Pink Pink Pink Pink
Black Blue Black Yellow Blue Black Black Black Pink Pink Pink Pink Black
Black Blue Black Blue Blue Blue Black Black Pink Pink Pink Pink Black
Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Pink Blue Black Black Black

Output:
Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Black Blue Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black
Black Black Black Yellow Yellow Yellow Yellow Blue Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Black Pink Black Black
Black Blue Black Black Pink Blue Blue Yellow Black Black Black Black Pink
Black Black Blue Black Black Black Black Black Blue Black Black Yellow Black
Black Black Black Black Black Black Black Yellow Black Black Black Black Blue
Black Black Blue Black Black Black Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black Blue Black Black
Black Black Blue Blue Blue Blue Blue Black Blue Black Black Blue Black
Black Black Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black
Black Blue Blue Blue Blue Blue Pink Black Blue Pink Blue Black Black
Black Black Blue Blue Blue Blue Black Black Blue Black Yellow Black Black
Black Black Blue Blue Blue Blue Blue Black Pink Pink Pink Pink Black
Black Black Blue Blue Blue Blue Blue Blue Pink Black Blue Pink Black
Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Black
Black Blue Black Black Black Black Black Black Pink Pink Pink Pink Pink
Black Blue Black Yellow Blue Black Black Black Pink Pink Pink Pink Black
Black Blue Black Blue Blue Blue Black Black Pink Pink Pink Pink Black
Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black


Example 2
Input:
Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Gray
Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black 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 Yellow 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 Gray Black Black Black Black Black Yellow 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 Pink Black Black Black Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Black Yellow 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 Gray Black Yellow Yellow Yellow Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black
Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Yellow Yellow Black Black Black Black Pink Pink Pink Pink Black
Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Yellow Black Black Black Black Black Pink Pink Pink Pink Pink
Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Yellow Black Black Black Black Black Pink Pink Pink Pink Pink
Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Black Black Black Black Pink Pink Pink Pink Black
Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Pink Black Black

Output:
Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Black Black Black Black Black Black Black Black Black Black 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 Yellow 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 Gray Black Black Black Black Black Yellow 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 Pink Black Black Black Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Gray Black Black 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 Black
Black Black Black Black Black Black Black Black Black Black Gray Black Yellow Yellow Yellow Black Black Black Black Black Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black
Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Yellow Yellow Black Black Black Black Pink Pink Pink Pink Black
Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Yellow Black Black Black Black Black Pink Pink Pink Pink Pink
Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Yellow Black Black Black Black Black Pink Pink Pink Pink Pink
Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Black Black Black Black Pink Pink Pink Pink Black
Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Black Black Black Black Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Pink Black Black


Example 3
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 Brown Black Black Black Black Black Black Black Black
Black Black Orange Orange Orange Black Black Black Red Black Black Black Black Black Black Black Black Black Black
Black Orange Orange Orange Orange Orange Black Black Blue Black Black Blue Black Orange Black Black Black Black Black
Black Orange Orange Orange Orange Orange Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Orange Orange Orange Orange Orange Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black
Black Orange Orange Orange Orange Orange Black Blue Blue Blue Blue Blue Blue Red Black Black Black Black Black
Black Black Orange Orange Orange Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Orange
Black Black Black Blue Black Black Brown Black Black Black Black Black Black Black Red Orange Red Black Black
Brown Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Brown
Orange Black Brown Black Black Black Black Black Blue Black Black Black Brown Brown Brown Brown Brown Red Black
Black Black Black Black Black Blue Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black
Black Black Black Black Blue Black Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Red Red Red Black Black Black Black Black
Black Black Black Brown Black Red Black Black Red Red Red Red Red Red Black Black Black Black Black
Orange Black Red Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black
Black Blue Black Black Black Black Black Black Red Red Black Red Red 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 Blue Black Black
Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Brown Black
Brown Black Black Black Black Black Black Black Black Black Black Black Brown 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 Brown Black Black Black Black Black Black Black Black
Black Black Orange Orange Orange Black Black Black Red Black Black Black Black Black Black Black Black Black Black
Black Orange Orange Orange Orange Orange Black Black Black Black Black Blue Black Orange Black Black Black Black Black
Black Orange Orange Orange Orange Orange Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Orange Orange Orange Orange Orange Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black
Black Orange Orange Orange Orange Orange Black Blue Blue Blue Blue Blue Black Red Black Black Black Black Black
Black Black Orange Orange Orange Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Orange
Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Red Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Brown
Black Black Brown Black Black Black Black Black Blue Black Black Black Brown Brown Brown Brown Black Red Black
Black Black Black Black Black Blue Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black
Black Black Black Black Blue Black Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Red Red Red Black Black Black Black Black
Black Black Black Brown Black Red Black Black Red Red Red Red Red Red Black Black Black Black Black
Orange Black Red Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black
Black Blue Black Black Black Black Black Black Red Red Black Red Red 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 Blue Black Black
Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Brown Black
Brown Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black


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