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

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 Orange Orange Orange Orange Orange Orange 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 Orange Orange Blue Blue Blue Orange Black Black Black Black Black
Black Black Black Black Black Orange Orange Blue Pink Blue Orange Black Black Black Black Black
Black Black Black Black Black Orange Orange Blue Blue Blue Orange 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 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


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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Purple Orange Orange Orange Orange Purple Black Black Black Black Black
Black Black Black Black Purple Orange Red Red Orange Purple Black Black Black Black Black
Black Black Black Black Purple Orange Red Red Orange Purple Black Black Black Black Black
Black Black Black Black Purple Orange Orange Orange Orange Purple 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 Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Purple Purple Orange Orange Orange Purple Black Black Black Black Black
Black Black Black Black Purple Purple Orange Red Orange Purple Black Black Black Black Black
Black Black Black Black Purple Purple Orange Orange Orange Purple 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 Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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