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

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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green 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 Black


Example 3
Input:
Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue
Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue
Black Black Black Black Pink Pink Red Red Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Red Red Black Black 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Red Red Black Black Red Red Black Black Purple Purple Black Black Black Black
Black Black Pink Pink Black Black Red Red Black Black Red Red Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black Orange Orange Black Black Brown Brown Blue Blue
Black Black Black Black Black Black Black Black Brown Brown Black Black Orange Orange Black Black Brown Brown Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray Orange Orange
Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black
Brown Brown Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Green Green Yellow Yellow
Brown Brown Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Green Green Yellow Yellow
Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple

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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray
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 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 Black Black Black Black


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