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:
Gray Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Gray
Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray 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 Purple 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Black Black Black Yellow Black
Black Black Black Yellow Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Purple Yellow Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Purple Purple Purple Gray Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Purple Gray Black Black Purple
Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Black Black Black Black Black Purple
Black Black Black Black Black Black Black Purple Purple Purple Yellow Black Black Black Black Black Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black
Yellow 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 Purple Black Black Black Black Yellow Black Black

Output:
Black Gray Black Black Black Black Black Black Black Black Black Gray Purple Black Purple Black Black Gray Gray Black
Gray Black Yellow Black Black Black Black Black Black Black Gray Black Gray Purple Black Black Gray Black Gray Gray
Black Yellow Black Yellow Black Black Black Black Black Black Black Gray Black Black Purple Black Black Gray Black Black
Black Black Yellow Black Black Black Black Black Black Yellow Black Black Black Purple Black Purple Black Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Purple Black Black Black Yellow Black
Black Black Yellow Black Black Black Black Black Yellow Yellow Black Black Black Yellow Yellow Black Black Yellow Black Yellow
Black Black Yellow Black Black Black Black Black Yellow Black Black Black Yellow Black Black Yellow Black Black Yellow Black
Black Black Yellow Black Black Black Black Black Yellow Yellow Black Black Black Yellow Black Yellow Black Yellow Black Yellow
Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black
Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Black Yellow Yellow Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Yellow Black Black Purple
Black Black Black Yellow Yellow Yellow Yellow Black Black Black Yellow Black Black Purple Yellow Black Black Yellow Purple Black
Black Black Black Black Black Black Yellow Black Black Black Yellow Black Purple Black Purple Yellow Yellow Black Purple Black
Black Black Gray Black Black Black Yellow Black Black Black Black Yellow Black Purple Gray Gray Gray Gray Gray Purple
Black Gray Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Gray Black Black Black Black Black Gray
Black Black Gray Black Gray Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black Gray
Black Black Black Black Gray Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black Gray
Yellow Black Black Black Gray Black Black Black Black Black Black Yellow Black Gray Black Black Black Black Black Gray
Black Yellow Black Black Black Gray Gray Gray Gray Gray Yellow Black Purple Black Gray Gray Gray Yellow Gray Black
Yellow Black Black Black Black Black Black Black Black Black Black Purple Black Purple Black Black Yellow Black Yellow Black


Example 2
Input:
Orange Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Black
Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Pink Orange Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Purple Black Black
Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Yellow Purple 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
Pink Pink Pink Pink Pink Black Purple Purple Purple Black Black Yellow Yellow Black Black Black Black Black Black Orange
Pink Pink Pink Pink Pink Black Purple Purple Purple Black Black Black Black Purple Black Black Black Black Orange Black
Pink Pink Pink Pink Pink Black Purple Purple Purple Black Black Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Black Black Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Purple Black Black Orange Orange Orange Orange Orange Black Black Black Pink Black Black Black Purple Black
Black Black Black Black Black Yellow Orange Orange Orange Orange Orange Black Purple 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 Orange Orange Purple Purple Purple Purple Purple Black Black Orange Black Black Purple Black
Black Yellow Black Black Yellow Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Orange Purple Purple Purple Purple Purple Black Black Black Pink Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Yellow Black Black Black
Orange Black Black Purple Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Orange Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black

Output:
Black Orange Black Black Black Black Yellow Black Black Black Black Black Black Yellow Yellow Black Black Yellow Black Yellow
Orange Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Yellow Pink Pink Yellow Black
Pink Pink Pink Pink Pink Black Yellow Black Black Black Black Black Black Yellow Yellow Pink Black Black Pink Black
Black Black Black Black Black Pink Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Pink Pink Black Black
Black Black Black Black Black Pink Purple Purple Purple Black Black Yellow Yellow Yellow Yellow Black Black Black Black Orange
Black Black Black Black Black Purple Black Black Black Purple Yellow Black Black Purple Black Black Black Black Orange Black
Black Black Black Black Black Purple Black Black Black Purple Black Yellow Purple Black Purple Black Black Orange Black Orange
Black Black Black Black Black Purple Black Black Black Purple Yellow Black Yellow Purple Black Black Black Black Orange Black
Pink Pink Pink Pink Pink Purple Black Black Black Purple Yellow Black Yellow Black Black Purple Black Black Black Black
Black Black Black Purple Black Purple Black Black Black Purple Purple Yellow Black Black Pink Black Purple Black Purple Black
Black Black Purple Black Purple Purple Black Black Black Black Black Purple Purple Pink Black Pink Black Purple Black Purple
Black Black Black Purple Purple Black Black Black Black Black Black Purple Black Purple Pink Black Black Black Purple Black
Black Black Black Black Black Purple Black Black Black Black Black Purple Purple Black Black Orange Black Black Purple Black
Black Yellow Black Black Yellow Purple Black Black Black Black Black Black Black Purple Orange Black Orange Purple Black Purple
Yellow Black Yellow Yellow Black Yellow Purple Purple Black Black Black Black Black Purple Black Orange Pink Black Purple Black
Black Yellow Black Black Yellow Black Purple Black Black Black Black Black Black Purple Black Pink Black Pink Black Black
Black Orange Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Yellow Black Black Black
Orange Black Orange Purple Black Black Black Purple Black Black Black Black Black Purple Purple Yellow Black Yellow Black Black
Black Orange Purple Black Orange Black Black Black Purple Yellow Purple Purple Purple Purple Black Purple Yellow Black Black Black
Orange Black Black Orange Black Orange Black Black Yellow Black Yellow Black Black Black Purple Black Black Black Black Black


Example 3
Input:
Black Black Black Black Black Black Blue Black Black Black Black Black Black Orange 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 Blue Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black
Black Black Brown Brown Brown Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Brown Orange Black Black Black Black Black Black Black Black Orange Black Black Black Black Black
Black Black Brown Brown Brown Orange Black Blue Black Orange Black Black Black Black Black Black Black Black Black Blue
Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black
Black Black Brown Brown Brown Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Orange
Black Black Brown Brown Brown Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Orange
Black Black Black Blue Blue Blue 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 Blue Black
Black Black Black Blue Blue Blue Black Orange Black Black Black Black Black Black Black Black Black Black Black Black
Blue Black Black Blue Blue Blue Black Blue Blue Blue Orange Orange Orange Orange Orange Black Black Black Black Black
Black Black Orange Black Black Black Blue Blue Blue Blue Orange Orange Orange Orange Orange Black Black Black Orange Black
Black Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Black Black Black Black Blue
Blue Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Black Black Black Black Black
Orange Black Black Black Orange Black Black Blue Blue Blue Orange Orange Orange Orange Orange Black Black Black Blue Black
Blue Black Blue Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Blue Black Black Black Brown Black Black Black Black Black Blue Black Brown 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

Output:
Black Black Black Black Black Blue Black Blue Black Black Black Black Orange Black Orange Black Black Blue Black Blue
Black Black Black Blue Black Black Blue Black Black Black Black Black Black Orange Black Black Orange Black Blue Black
Black Black Blue Black Blue Blue Black Orange Black Black Black Black Black Black Black Orange Black Orange Black Black
Black Blue Black Black Black Black Orange Black Orange Black Black Black Black Black Orange Black Orange Black Black Black
Black Blue Black Black Black Black Blue Blue Black Orange Black Black Black Orange Black Orange Black Black Black Blue
Black Blue Black Black Black Black Blue Black Orange Black Orange Black Black Black Orange Black Black Orange Blue Black
Black Blue Black Black Black Blue Black Blue Black Orange Black Black Black Black Black Black Orange Black Orange Orange
Black Blue Black Black Black Blue Blue Black Blue Black Black Black Black Black Black Black Black Orange Orange Black
Black Blue Black Black Black Blue Blue Black Blue Black Black Black Black Black Black Black Black Black Orange Black
Black Black Blue Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Orange
Black Black Blue Black Black Black Blue Orange Black Black Black Black Black Black Black Black Black Blue Black Blue
Blue Black Blue Black Black Black Orange Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Blue Black
Black Blue Orange Black Black Black Orange Black Black Black Black Black Black Black Black Orange Black Black Orange Black
Blue Orange Black Orange Blue Orange Black Black Black Black Black Black Black Black Black Orange Black Orange Black Blue
Blue Black Orange Black Black Black Orange Black Black Black Black Black Black Black Black Orange Black Black Blue Black
Black Blue Black Black Orange Black Orange Black Black Black Black Black Black Black Black Orange Black Black Blue Blue
Black Blue Blue Orange Black Orange Orange Black Black Black Black Black Black Black Black Orange Black Blue Black Blue
Black Blue Black Blue Brown Black Orange Black Black Black Blue Orange Brown Orange Orange Black Black Black Blue Black
Black Blue Blue Blue Black Brown Black Orange Orange Blue Black Brown Black Brown Black Black Black Black Black Black
Blue Black Blue Black Blue Black Black Black Black Black Blue Black Brown Black Black Black Black Black Black Black


Here is the input grid for the test example:
Input:
Black Blue Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black Gray Black Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Black Black Black Black Black Blue
Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Black Black Black Black Black
Black Blue Black Black Black Black Black Green Green Green Green Green Green Blue 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 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 Black Black
Black Black Blue Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Green Black Black Black
Black Black Black Green Black Black Gray Black Black Gray Gray 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
Blue Black Black Black Black Black Black Black 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 Black Black Black Black Black Black
Black Black Black Black Black Blue Green Black Black Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue 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 Green Black Black Black Black Gray Green 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 Black Blue Black Black Black Black Black Black Black Green Black Green Black Black Black Green Black Green Black
Black Blue Black Black Black Black Black Black Black Green Black Green Black Black Black Black Black Green Black Green
Black Black Black Black Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Gray Black Black Black Black
Black Black Black Black Gray Black Black Gray Black Gray Gray Gray Gray Gray Gray Black Gray Black Black Black
Black Black Black Gray Black Gray Gray Black Gray Black Black Black Black Black Gray Gray Black Black Black Blue
Black Black Black Black Gray Black Gray Black Black Black Black Black Black Black Gray Black Black Black Blue Black
Black Blue Black Black Black Black Gray Black Black Black Black Black Black Black Black Gray Black Black Black Blue
Blue Black Blue Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black
Black Blue Black Black Black Black Black Gray Gray Black Black Black Black Black Gray Black Gray Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Gray Black Gray Black Black
Black Black Blue Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Green Black Black Black
Black Blue Black Green Black Black Gray Black Gray Black Black Black Black Gray Black Green Black Green Black Black
Black Black Green Black Green Gray Black Gray Gray Black Black Black Black Gray Black Black Green Black Black Black
Blue Black Black Green Black Black Gray Black Gray Black Black Black Black Gray Black Black Black Black Black Black
Black Blue Black Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black Black Black Black
Blue Black Black Black Black Blue Blue Black Gray Green Gray Gray Gray Black Black Black Black Black Black Black
Black Black Black Black Blue Black Black Blue Green Black Green Black Black Black Black Black Black Black Black Black
Black Black Black Blue Black Black Blue Black Black Green Green Black Black Black Black Gray Gray Black Black Black
Black Black Black Black Blue Blue Black Black Black Green Black Green Black Black Gray Black Black Gray Black Black
```
assistant