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:
Yellow Red Black Red Black Black Black Purple Purple Purple Black Black Black Black Black Black Black
Black Yellow Red Red Black Black Black Black Black Black Black Black Green Black Black Yellow Black
Black Black Black Black Black Black Purple Black Black Gray Black Gray Orange Green Black Black Black
Purple Purple Purple Black Black Black Black Purple Black Black Gray Gray Green Black Red Gray Black
Black Purple Black Black Black Black Black Black Black Black Gray Blue Blue Red Gray Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black Blue Red Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Red Yellow Yellow Black Black Black Black Orange Black Black Red Black
Red Black Black Purple Black Yellow Yellow Black Black Black Pink Black Black Orange Gray Black Black
Black Red Black Purple Black Black Green Black Yellow Brown Pink Yellow Black Orange Gray Black Black
Black Pink Black Black Black Black Black Yellow Brown Yellow Yellow Yellow Black Black Black Purple Purple
Pink Black Black Black Black Black Black Brown Black Brown Black Yellow Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Yellow Red 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 Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Black Black 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 Blue Blue 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 Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Brown 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


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Black Black Black Brown Brown Brown Black Black Black
Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Gray Gray Black Black Black Black Black Black Black Black
Black Purple Purple Purple Orange Black Gray Black Black Black Black Black Black Black Black
Gray Gray Purple Orange Orange Gray Blue Blue Black Black Black Black Black Black Black
Gray Orange Orange Black Black Blue Black Black Black Black Black Brown Brown Black Black
Black Black Orange Black Green Black Black Black Black Black Purple Black Brown Brown Black
Black Black Black Black Green Green Black Black Black Purple Purple Black Brown Brown Black
Black Black Orange Black Blue Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Blue Black Black Black Black Black Black Black Black Black Black Black
Orange Orange 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 Green Black Black Black Brown Brown Brown Black Black Black
Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Gray Gray Black Black Black Black Black Black Black Black
Black Purple Purple Purple Orange Black Gray Black Black Black Black Black Black Black Black
Black Black Purple Orange Orange Black 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 Black 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 Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink
Black Blue Blue Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Red Red Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Orange Black Black Black Blue Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Orange Black Black Black Green Black Black Yellow Yellow
Black Black Black Orange Black Black Red Red Red Black Black Green Green Black Yellow Yellow
Black Black Black Orange Black Black Black Red Red Black Black Green Black Black Black Red
Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Red Red
Black Purple Black Black Black Black Black Pink Black Black Black Black Pink Pink Pink Red
Gray Black Purple Black Black Black Black Yellow Yellow Black Black Black Black Black Pink Brown
Black Gray Black Purple Black Black Black Yellow 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 Black Black Black Black Black Black Pink
Black Blue Blue Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange 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 Green Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Green Green Black Yellow Yellow
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 Purple 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 Brown
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 Gray Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Pink Pink Red Red Black Black Black Black Black
Black Black Black Black Black Pink Black Red Black Black Black Black Black Black
Purple Purple Purple Black Black Black Red Red Black Black Black Black Black Black
Purple Purple Purple Black Black Black Red 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 Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Blue Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Blue Black Green Black Black
Purple Purple Black Black Green Green Black Black Blue Black Green Black Black Black
Black Purple Black Black Green Green Black Black Orange Black Black Green Black Gray
Black Black Black Black Black Green Green Black Orange Black Black Black Gray Black
Black Black Black Black Black Black Black Orange Black Gray Gray Gray Black Gray
Orange Orange 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 Gray Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Pink Pink Red Red Black Black Black Black Black
Black Black Black Black Black Pink Black Red Black Black Black Black Black Black
Purple Purple Purple Black Black Black Red Red Black Black Black Black Black Black
Purple Purple Purple 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
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
Black Black Blue Blue 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 Orange Black Black Black Black Black
Black Black Black Black Black Black Black Black 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
```
assistant