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

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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Purple Blue Blue Blue Blue Blue Blue Blue Blue Purple Black Black Black Black Black
Black Black Black Black Purple Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Purple Black Black Black Black
Black Black Black Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Black Black Black
Black Black Black Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple Black Black Black
Black Black Black Purple Blue Purple Purple Purple Black Black Black Black Purple Purple Purple Blue Purple Black Black Black
Black Black Black Purple Blue Purple Purple Purple Black Black Black Black Purple Purple Purple Blue Purple Black Black Black
Black Black Black Purple Blue Purple Purple Purple Black Black Black Black Purple Purple Purple Blue Purple Black Black Black
Black Black Black Purple Blue Purple Purple Purple Black Black Black Black Purple Purple Purple Blue Purple Black Black Black
Black Black Black Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple Black Black Black
Black Black Black Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Black Black Black
Black Black Black Black Purple Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Purple Black Black Black Black
Black Black Black Black Black Purple Blue Blue Blue Purple Purple Blue Blue Blue Purple Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Blue Blue Purple Purple Purple Black 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 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 Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black
Black Black Black Black Black Pink Blue Blue Blue Blue Blue Blue Blue Blue Pink Black Black Black Black Black Black
Black Black Black Black Pink Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Pink Black Black Black Black Black
Black Black Black Pink Pink Blue Orange Black Black Black Black Black Black Orange Blue Blue Pink Black Black Black Black
Black Black Black Pink Blue Orange Black Black Black Black Black Black Black Black Orange Blue Pink Black Black Black Black
Black Black Black Pink Blue Orange Black Black Black Black Black Black Black Black Orange Blue Pink Black Black Black Black
Black Black Black Pink Blue Orange Black Black Black Black Black Black Black Black Orange Blue Pink Black Black Black Black
Black Black Black Pink Blue Orange Black Black Black Black Black Black Black Black Orange Blue Pink Black Black Black Black
Black Black Black Pink Blue Orange Black Black Black Black Black Black Black Black Orange Blue Pink Black Black Black Black
Black Black Black Pink Blue Orange Black Black Black Black Black Black Black Black Orange Blue Pink Black Black Black Black
Black Black Black Pink Blue Blue Orange Black Black Black Black Black Black Orange Blue Blue Pink Black Black Black Black
Black Black Black Black Pink Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Pink Black Black Black Black Black
Black Black Black Black Black Pink Blue Blue Blue Orange Orange Blue Blue Blue Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Pink Blue Blue Pink Pink Pink Black 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 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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Purple Blue Blue Blue Blue Blue Blue Blue Blue Purple Black Black Black Black Black Black
Black Black Black Black Purple Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Purple Black Black Black Black Black
Black Black Black Purple Purple Blue Purple Black Black Black Black Black Black Purple Blue Blue Purple Black Black Black Black
Black Black Black Purple Blue Purple Black Black Black Black Black Black Black Black Purple Blue Purple Black Black Black Black
Black Black Black Purple Blue Purple Black Black Black Black Black Black Black Black Purple Blue Purple Black Black Black Black
Black Black Black Purple Blue Purple Black Black Black Black Black Black Black Black Purple Blue Purple Black Black Black Black
Black Black Black Purple Blue Purple Black Black Black Black Black Black Black Black Purple Blue Purple Black Black Black Black
Black Black Black Purple Blue Purple Black Black Black Black Black Black Black Black Purple Blue Purple Black Black Black Black
Black Black Black Purple Blue Purple Black Black Black Black Black Black Black Black Purple Blue Purple Black Black Black Black
Black Black Black Purple Blue Blue Purple Black Black Black Black Black Black Purple Blue Blue Purple Black Black Black Black
Black Black Black Black Purple Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Purple Black Black Black Black Black
Black Black Black Black Black Purple Blue Blue Blue Purple Purple Blue Blue Blue Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Blue Blue 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Brown Brown Brown Brown Brown Brown Brown Brown Yellow Black Black Black Black Black
Black Black Yellow Yellow Brown Blue Blue Blue Blue Blue Blue Blue Blue Brown Yellow Yellow Black Black Black
Black Black Yellow Brown Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Brown Yellow Black Black Black
Black Yellow Brown Brown Blue Orange Black Black Black Black Black Black Orange Blue Blue Brown Yellow Black Black
Black Yellow Brown Blue Orange Black Black Black Black Black Black Black Black Orange Blue Brown Yellow Black Black
Black Yellow Brown Blue Orange Black Black Black Black Black Black Black Black Orange Blue Brown Yellow Black Black
Black Yellow Brown Blue Orange Black Black Black Black Black Black Black Black Orange Blue Brown Yellow Black Black
Black Yellow Brown Blue Orange Black Black Black Black Black Black Black Black Orange Blue Brown Yellow Black Black
Black Yellow Brown Blue Orange Black Black Black Black Black Black Black Black Orange Blue Brown Yellow Black Black
Black Yellow Brown Blue Orange Black Black Black Black Black Black Black Black Orange Blue Brown Yellow Black Black
Black Yellow Brown Blue Blue Orange Black Black Black Black Black Black Orange Blue Blue Brown Yellow Black Black
Black Black Yellow Brown Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Brown Yellow Black Black Black
Black Black Yellow Yellow Brown Blue Blue Blue Orange Orange Blue Blue Blue Brown Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Brown Brown Brown Blue Blue Brown Brown Brown Yellow Yellow Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black 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


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 Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Purple Purple Purple Purple Purple Purple Purple Purple Blue Black Black Black Black Black
Black Black Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Black Black Black
Black Black Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Black Black Black
Black Blue Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Blue Black Black
Black Blue Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Blue Black Black
Black Blue Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Blue Black Black
Black Blue Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Blue Black Black
Black Blue Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Blue Black Black
Black Blue Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Blue Black Black
Black Blue Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Blue Black Black
Black Blue Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Blue Black Black
Black Black Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Black Black Black
Black Black Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Black Black Black
Black Black Black Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Black Black Black Black
Black Black Black Black Black Blue Blue Blue Purple Purple Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black
```
assistant