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

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 Purple Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Purple Black Black Gray Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Gray 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 Purple Gray Gray Gray Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Gray Gray Gray Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Gray Gray Gray Purple Black Black Black Black Black Black Black Black Black
Black Red Red Red Black Black Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Red Red Red Black Black Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Red Red Red Black Black Black Gray 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


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 Black Black Black Black Black Black Black Black Red Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Blue Blue Blue Black Red Red Red Black Black Black Black Black Black
Black Black Black Black Red Red Red Blue Blue Blue Black Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Blue Blue Black 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 Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown 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 Red Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Brown Brown Brown Blue Blue Black Brown Brown Red Black Black Black Black Black Black
Black Black Black Black Red Brown Brown Brown Blue Blue Black Brown Brown Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Blue Blue Black Brown Brown 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Black Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Purple 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black
Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black
Black Black Black Brown Brown Brown Brown Green Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Black
Black Black Black Brown Brown Brown Brown Green Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Black
Black Black Black Brown Brown Brown Brown Green Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue 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

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 Blue Blue Blue Black Brown Brown Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Brown Brown Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Brown Brown 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Black Black Black
Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Black Black Black
Black Black Black Brown Brown Brown Brown Green Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Black
Black Black Black Brown Brown Brown Brown Green Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Black
Black Black Black Brown Brown Brown Brown Green Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue 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


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 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 Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black
Black Gray Gray Gray Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black
Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Black Black Black Purple Purple Purple Red Red Black Black Black Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Purple Purple Purple Red Red Black Black Black Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Purple Purple Purple Red Red Black Black Black Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow 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 Black 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 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 Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Green Red Black Black Black Black Black Black Black Black
Black Gray Gray Blue Black Black Black Black Black Green Green Red Black Black Black Black Black Black Black Black
Black Gray Gray Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Blue Black Black Black Purple Green Green Green Red Black Black Black Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Purple Green Green Green Red Black Black Black Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Purple Green Green Green Red Black Black Black Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black
Black Black Black Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow 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 Black 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