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 Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Blue Blue Blue
Black Black Black Black Black Black Black Black Black Purple Black Black Purple Black Black Black Black Black Black Black Black Blue 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 Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Yellow Black Black Black Black Black Black
Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black
Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black
Black Purple Purple Purple Black Black Black Black Black Black Black Purple Black Black Purple Black Black Yellow Black Black Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Purple Black Black Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Purple Purple Gray Black Black Black Black Black
Black Black Black Black Black Black Black Pink Pink Pink Pink 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 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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Black
Blue Blue Blue
Black Blue Black


Example 2
Input:
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 Black Black Black Black Black Black Purple 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 Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Gray Gray Gray Gray Black Black Black Pink Pink Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Gray Gray Gray Gray Black Black Black Pink Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Gray Gray Gray Gray Black Black Black Pink Black Blue Blue Blue Blue Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Orange Orange
Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Blue Blue Blue Blue Black Black Orange Orange
Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Gray 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 Black Black Black Black Black Black Black
Black Black Gray Gray 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 Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Purple
Purple Purple Purple


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

Output:
Black Blue Blue Blue Black
Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue
Blue Blue Black Blue Blue


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

```
Blue Blue Blue
Blue Blue Blue
Blue Black Blue
```
assistant