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


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Purple Blue Black Black Black Black Yellow Yellow Yellow Black Black Black Black
Black Black Purple Purple Purple Black Black Black Black Red Yellow Red Black Black Black Black
Black Black Blue Purple Blue Black Black Black Black Blue Red Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Orange Blue
Purple Purple Black Orange Orange Black Black Green Green Black Black Black Black Black Black Black
Purple Purple 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 Blue Red Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Blue Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Red Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Purple Blue Black Black Black Black Yellow Yellow Yellow Black Black Black Black
Black Black Purple Purple Purple Black Blue Blue Black Red Yellow Red Black Black Black Black
Black Black Blue Purple Blue Black Black Black Black Blue Red Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Green Green Green Orange Blue Blue Black Black Black Black Black Black Black Orange Blue
Purple Purple Black Orange Orange Black Black Green Green Black Black Black Black Black Black Black
Purple Purple 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 Blue Blue Black Blue Red Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Blue Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Red Black Black Black Black


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