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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Red Red Red 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 Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black
Black Black Black Black Black Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black
Black Black Black Black Black Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black
Black Black Black Black Black Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black
Black Black Black Black Black Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black
Black Black Black Black Black Green Green Green Green Red Red Red Red Red Red Red Red Black Black Black
Black Black Black Black Black Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Green Green Blue Blue Blue Red Red Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Blue Blue 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Red Red Red 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 Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black
Black Black Black Black Black Green Green Green Green Red Red Red Red Red Red Red Red Red Black Black
Black Black Black Black Black Green Green Green Green Red Red Red Red Red Red Red Red Red Black Black
Black Black Black Black Black Green Green Green Green Red Red Red Red Red Red Red Red Red Black Black
Black Black Black Black Black Green Green Green Green Red Red Red Red Red Red Red Red Red Black Black
Black Black Black Black Black Black Green Green Black Red Red Red Red Red Red Red Red 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 Blue Blue Gray Gray Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Blue Gray Gray Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue 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 Black Black


Example 2
Input:
Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black
Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Black Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Gray Gray Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Black Black
Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple 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 Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black
Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Black Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Gray Gray Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Black Black Black
Black Black Black Black Black Black Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Blue Purple Purple Purple Purple Purple Purple Purple Purple 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 Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple 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 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 Purple Purple Purple Purple Purple Purple 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


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 Black Black Black Black Black Black Black Black Black
Black Black Black 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 Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black
Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Black Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black
Black Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black
Black Black Black Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black
Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink 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 Black Black Black Black Black Black Black Black Black
Black Black Black 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 Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black
Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Black Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black
Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black
Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink 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 Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black
Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black
Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black
Black Black Orange Orange Orange Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black
Black Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Orange Orange Green Green Yellow Yellow Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Black Black Black Black Black Black Black Black Black
Black Orange 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 Orange 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 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black
Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black
Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black
Black Black Orange Orange Orange Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black
Black Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Orange Orange Green Green Yellow Yellow Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Orange 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 Orange 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant