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 Blue 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 Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black
Black Black Black Black Black Blue Blue Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Black Black Black Black
Black Black Black Blue Blue Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Black Black Black Blue Blue Black Black Black
Black Black Black Blue Black Black Gray Gray Black Black Black Black Black Brown Black Black Black Black Black Black Gray Gray Black Black Blue Black Black Black
Black Black Blue Black Black Black Gray Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Gray Black Black Black Blue Black Black
Black Black Blue Black Black Gray Black Black Black Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Gray Black Black Blue Black Black
Black Blue Black Black Gray Gray Black Black Brown Brown Black Black Black Green Black Black Black Black Brown Brown Black Black Gray Gray Black Black Blue Black
Black Blue Black Black Gray Black Black Brown Brown Black Black Green Green Green Green Green Green Black Black Brown Brown Black Black Gray Black Black Blue Black
Black Blue Black Black Gray Black Black Brown Black Black Green Green Black Yellow Black Black Green Green Black Black Brown Black Black Gray Black Black Blue Black
Black Blue Black Black Gray Black Black Brown Black Black Green Black Yellow Yellow Yellow Yellow Black Green Black Black Brown Black Black Gray Black Black Blue Black
Blue Blue Black Gray Gray Black Brown Brown Black Green Green Yellow Yellow Red Red Yellow Black Green Black Black Brown Black Black Gray Black Black Blue Black
Black Blue Black Black Gray Black Black Brown Black Black Green Black Yellow Red Red Yellow Black Green Black Black Brown Black Black Gray Black Black Blue Black
Black Blue Black Black Gray Black Black Brown Black Black Green Black Yellow Yellow Yellow Yellow Black Green Black Black Brown Black Black Gray Black Black Blue Black
Black Blue Black Black Gray Black Black Brown Black Black Green Green Black Black Black Black Green Green Black Black Brown Black Black Gray Black Black Blue Black
Black Blue Black Black Gray Black Black Brown Brown Black Black Green Green Green Green Green Green Black Black Brown Brown Black Black Gray Black Black Blue Black
Black Blue Black Black Gray Gray Black Black Brown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Gray Gray Black Black Blue Black
Black Black Blue Black Black Gray Black Black Black Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Gray Black Black Blue Black Black
Black Black Blue Black Black Black Gray Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Gray Black Black Black Blue Black Black
Black Black Black Blue Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Blue Black Black Black
Black Black Black Blue Blue Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Black Black Black Blue Blue Black Black Black
Black Black Black Black Blue Blue Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Black Black Black Black
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 Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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

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


Example 2
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 Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black
Black Black Black Black Gray Gray Black Black Pink Black Black Black Gray Gray Black Black Black
Black Black Black Gray Gray Black Pink Pink Pink Pink Pink Pink Black Gray Gray Black Black
Black Black Gray Gray Black Pink Black Black Red Black Black Black Pink Black Gray Gray Black
Black Black Gray Black Pink Black Red Red Red Red Red Red Black Pink Black Gray Black
Black Black Gray Black Pink Black Red Black Purple Black Black Red Black Pink Black Gray Black
Black Gray Gray Pink Pink Red Red Purple Purple Purple Black Red Black Pink Black Gray Black
Black Black Gray Black Pink Black Red Black Purple Purple Black Red Black Pink Black Gray Black
Black Black Gray Black Pink Black Red Black Black Black Black Red Black Pink Black Gray Black
Black Black Gray Black Pink Black Red Red Red Red Red Red Black Pink Black Gray Black
Black Black Gray Gray Black Pink Black Black Black Black Black Black Pink Black Gray Gray Black
Black Black Black Gray Gray Black Pink Pink Pink Pink Pink Pink Black Gray Gray Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black
Black Black Black Black Black Gray Gray Gray Gray 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

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 Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black
Black Black Black Black Red Red Black Black Red Black Black Black Red Red Black Black Black
Black Black Black Red Red Black Red Red Red Red Red Red Black Red Red Black Black
Black Black Red Red Black Red Black Black Red Black Black Black Red Black Red Red Black
Black Black Red Black Red Black Red Red Red Red Red Red Black Red Black Red Black
Black Black Red Black Red Black Red Black Red Black Black Red Black Red Black Red Black
Black Red Red Red Red Red Red Red Red Red Black Red Black Red Black Red Black
Black Black Red Black Red Black Red Black Red Red Black Red Black Red Black Red Black
Black Black Red Black Red Black Red Black Black Black Black Red Black Red Black Red Black
Black Black Red Black Red Black Red Red Red Red Red Red Black Red Black Red Black
Black Black Red Red Black Red Black Black Black Black Black Black Red Black Red Red Black
Black Black Black Red Red Black Red Red Red Red Red Red Black Red Red Black Black
Black Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Black Black Brown Black Black Black Purple Purple Black Black Black
Black Black Black Purple Purple Black Brown Brown Brown Brown Brown Brown Black Purple Purple Black Black
Black Black Purple Purple Black Brown Black Black Pink Black Black Black Brown Black Purple Purple Black
Black Black Purple Black Brown Black Pink Pink Pink Pink Pink Pink Black Brown Black Purple Black
Black Black Purple Black Brown Black Pink Black Green Black Black Pink Black Brown Black Purple Black
Black Purple Purple Brown Brown Pink Pink Green Green Green Black Pink Black Brown Black Purple Black
Black Black Purple Black Brown Black Pink Black Green Green Black Pink Black Brown Black Purple Black
Black Black Purple Black Brown Black Pink Black Black Black Black Pink Black Brown Black Purple Black
Black Black Purple Black Brown Black Pink Pink Pink Pink Pink Pink Black Brown Black Purple Black
Black Black Purple Purple Black Brown Black Black Black Black Black Black Brown Black Purple Purple Black
Black Black Black Purple Purple Black Brown Brown Brown Brown Brown Brown Black Purple Purple Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black
Black Black Black Black Red Red Black Black Red Black Black Black Red Red Black Black Black
Black Black Black Red Red Black Red Red Red Red Red Red Black Red Red Black Black
Black Black Red Red Black Red Black Black Red Black Black Black Red Black Red Red Black
Black Black Red Black Red Black Red Red Red Red Red Red Black Red Black Red Black
Black Black Red Black Red Black Red Black Red Black Black Red Black Red Black Red Black
Black Red Red Red Red Red Red Red Red Red Black Red Black Red Black Red Black
Black Black Red Black Red Black Red Black Red Red Black Red Black Red Black Red Black
Black Black Red Black Red Black Red Black Black Black Black Red Black Red Black Red Black
Black Black Red Black Red Black Red Red Red Red Red Red Black Red Black Red Black
Black Black Red Red Black Red Black Black Black Black Black Black Red Black Red Red Black
Black Black Black Red Red Black Red Red Red Red Red Red Black Red Red Black Black
Black Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black Black
Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black
Black Black Black 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 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Black Black Black Black Brown Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Yellow Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Yellow Black Black
Black Black Yellow Yellow Black Black Brown Black Black Black Black Black Black Brown Black Black Yellow Yellow Black
Black Black Yellow Black Black Brown Black Black Black Blue Black Black Black Black Brown Black Black Yellow Black
Black Black Yellow Black Black Brown Black Black Blue Blue Blue Blue Black Black Brown Black Black Yellow Black
Black Yellow Yellow Black Brown Brown Black Blue Blue Black Black Blue Black Black Brown Black Black Yellow Black
Black Black Yellow Black Black Brown Black Black Blue Black Black Blue Black Black Brown Black Black Yellow Black
Black Black Yellow Black Black Brown Black Black Blue Blue Blue Blue Black Black Brown Black Black Yellow Black
Black Black Yellow Black Black Brown Black Black Black Black Black Black Black Black Brown Black Black Yellow Black
Black Black Yellow Yellow Black Black Brown Black Black Black Black Black Black Brown Black Black Yellow Yellow Black
Black Black Black Yellow Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Yellow Black Black
Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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


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 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Black Black Black Black Brown Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Yellow Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Yellow Black Black
Black Black Yellow Yellow Black Black Brown Black Black Black Black Black Black Brown Black Black Yellow Yellow Black
Black Black Yellow Black Black Brown Black Black Black Red Black Black Black Black Brown Black Black Yellow Black
Black Black Yellow Black Black Brown Black Black Red Red Red Red Black Black Brown Black Black Yellow Black
Black Yellow Yellow Black Brown Brown Black Red Red Black Black Red Black Black Brown Black Black Yellow Black
Black Black Yellow Black Black Brown Black Black Red Black Black Red Black Black Brown Black Black Yellow Black
Black Black Yellow Black Black Brown Black Black Red Red Red Red Black Black Brown Black Black Yellow Black
Black Black Yellow Black Black Brown Black Black Black Black Black Black Black Black Brown Black Black Yellow Black
Black Black Yellow Yellow Black Black Brown Black Black Black Black Black Black Brown Black Black Yellow Yellow Black
Black Black Black Yellow Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Yellow Black Black
Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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
```
assistant