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
Orange Orange Purple Purple Purple Purple Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black
Orange Orange Purple Purple Purple Purple Black Black Black Black Black Black Orange Orange Orange Black Black Gray Gray Gray Gray Black
Orange Orange Purple Purple Purple Purple Black Black Black Black Black Orange Orange Orange Orange Orange Black Gray Gray Gray Gray Black
Orange Orange Purple Purple Purple Purple Black Black Black Black Black Black Orange Orange Orange Black Black Gray Gray Gray Gray Black
Black Black Black Black Black Black Orange Black Black Black Black Black Black Orange Black Black Black Gray Gray Gray Gray Black
Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black
Black Black Black Black Black Purple Orange Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange Black Black Black
Black Black Black Black Black Purple Purple Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink 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 Black Black 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 Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Orange Black Black Black Black Black Orange Orange Orange Black Black Gray Gray Gray Gray Black
Orange Orange Black Black Black Black Orange Black Black Black Black Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray
Orange Orange Black Black Black Black Orange Black Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray
Orange Orange Black Black Black Black Orange Black Black Black Black Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray
Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Black Gray Gray Gray Gray Gray Gray
Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Orange Black Black Black Gray Gray Gray Gray Black
Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black
Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black
Black Black Black Black Orange Black Orange Orange Black Black Black Black Orange Black Black Black Orange Orange Orange Orange Black Black
Black Black Black Black Orange Black Black Orange Black Black Black Black Orange Black Black Black Orange Orange Orange Orange Black Black
Black Black Black Black Black Orange Orange Black Black Black Black Black Orange Black Black Black Black Orange Orange Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black
Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black
Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Green Black Yellow Black Black Black Black
Black Black Blue Blue Blue Blue Black Black Black Black Black Green Green Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Brown Black Black Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Brown Brown Brown Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Brown Brown Brown Brown Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Blue Blue Black Brown Brown Brown Black Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Blue Blue Black Black Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Blue Black Blue Blue Black Black
Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Black Black Black Black Black Black Black Blue Black
Black Black Blue Blue Blue Blue Black Blue Black Blue Blue Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Blue Blue Black Black Black Blue Black Black Black Black Black Black Black Black Blue
Black Black Black Blue Blue Blue Blue Blue Black Blue Black Blue Black Black Black Black Black Black Black Blue
Black Black Black Black Blue Blue Black Black Blue Black Black Black Blue Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Blue Blue 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 Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 3
Input:
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 Black Black Black Black Black Yellow Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Purple Purple Brown Brown Black Black Black
Black Black Black Black Black Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Purple Brown Brown Black Black Black
Black Black Black Green Green Green Green Green Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Black Black Black
Black Black Green Green Green Green Green Green Green Black Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Black
Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Black
Black Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray
Black Black Green Green Green Green Green Green Green Green Black Black Black Yellow Black Gray Gray Gray Gray Gray Black
Black Pink Green Green Green Green Green Green Green Black Black Black Black Black Black Gray Gray Gray Gray Gray Black
Black Pink Purple Green Green Green Green Green Black Pink Pink Pink Black Black Black Black Black Gray Black Black Black
Pink Pink Purple Purple Purple Green Pink Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black
Black Pink Purple Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black
Black Pink Pink Pink Pink Pink 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 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 Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black Black Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Purple Black Black Black Purple Black Black Black Black Purple Purple Black Black Purple Black Black
Black Black Black Purple Purple Black Purple Purple Black Purple Black Black Black Black Black Purple Black Black Purple Black Black
Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Purple Purple Black
Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Purple
Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple
Purple 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 Purple Purple Purple Black Purple Black Black Black Black Black Purple
Purple Black Black Black Black Black Black Black Black Pink Pink Pink Black Purple Purple Black Black Black Black Black Purple
Purple Black Purple Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Purple Purple Black Purple Purple Black
Black Black Purple Purple Purple Black Black Purple Pink Pink Pink Pink Pink Black Black Black Black Purple Black Black Black
Purple Black Purple Purple Purple Purple Purple Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Purple Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black
Black Purple Purple Black Purple Purple 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 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 Black Black Black Black Gray Gray 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 Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black
Black Black Black Black Black Black Brown Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Black Brown Orange Orange Blue Blue Blue Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Brown Brown Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Black Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Black Black Orange Orange Blue Blue Blue Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Black Black
Black Black Black Black Black Black Black Black Orange Black Black Blue Orange Orange Orange Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black
Purple Purple Black Black Black Black Black Brown Brown Brown Black Black Black Black Orange Black Black Black Black
Purple Purple Black Black Black Black Black Brown Brown Brown Black 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 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 Gray Gray 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 Blue Gray Gray Gray Gray Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Gray Black Black Black Black
Black Black Black Black Black Black Blue Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Black Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Blue Black Black Black Blue Blue Blue Blue Blue Black Black Black Blue Black
Black Black Black Black Black Black Blue Blue Black Blue Blue Blue Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Blue Black Blue Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black
Purple Purple Black Black Black Black Black Brown Brown Brown Black Blue Black Black Black Black Black Blue Black
Purple Purple Purple Black Black Black Brown Brown Brown Brown Brown Black Blue Blue Black Blue Blue Black Black
Purple Purple Purple Black Black Black Brown Brown Brown Brown Brown Black Black Black Blue Black Black Black Black
Purple Purple Black Black Black Black Brown Brown Brown Brown Brown 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 Black Black
```
assistant