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 Red Red Red Black Black Green Black Green Black
Black Black Black Black Black Black Red Red Black Black Green Green Green Black
Black Black Black Black Black Black Black Red Black Black Green Green Green Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Purple Black Black Black Black Purple Purple Black Black Black Black
Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Pink Black Black Black Black Black Black
Black Black Gray Black Black Black Black Pink Black Black Black Black Black Black
Black Black Gray Black Black Black Pink Pink Black Blue Blue Black Black Black
Black Gray Gray Black Black Black Black Black Black Blue Blue Blue 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 Blue Blue 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 Gray Gray Gray
Black Black Black Black Black Purple Purple Purple Purple Black Black Gray Gray Gray
Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black
Black Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Red Red Red Black Black Black Black Black Black Pink Pink Pink Black
Black Red Red Red Black Black Black Black Black Black Pink Pink Pink Black
Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Black Purple Purple Black Black Blue Blue
Black Green Green Green Black Black Black Black Purple Purple Black Black Blue Blue
Black Green Green Green Black Black Black Black Purple Purple Black Black Blue Blue
Black Green Green Green 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


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Gray Gray Black Black Black Black Black
Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Gray Gray Gray 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Yellow 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 Red Red Black
Black Black Black Black Black Black Black Black Black Black Red Red Red Red 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

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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Black Black Gray Gray Black Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Gray Gray Black Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Gray Gray Black Yellow Yellow Black Black Black
Black Gray Gray Black Black Black Black Black Black Black Yellow Yellow 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 Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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


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 Brown Brown Black Black Black Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black 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 Gray Gray Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black Purple Purple 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 Gray Gray Black Black Black Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Pink 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 Black Black Black Black Black Black Black Black Black
Black Black Blue Black Black Pink Pink Black Black Black Black Black Yellow Black Yellow Black Black Black
Black Blue Blue Blue Black Pink Pink Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black
Black Black Blue Black Black Pink Pink Black Black Black Black Black Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Blue 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 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 Black Black Black Black Pink Pink Pink Black Black
Black Brown Brown Brown Brown Black Gray Gray Gray Gray Black Black Black Pink Pink Pink Black Black
Black Brown Brown Brown Brown Black Gray 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 Purple Purple Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black
Black Purple Purple Black Purple Purple Purple Purple Black Pink Pink Black Black Yellow Yellow Yellow Yellow Black
Black Purple Purple Black Purple Purple Purple Purple Black Pink Pink Black Black Yellow Yellow Yellow Yellow Black
Black Purple Purple Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow 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


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 Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Yellow Black Black Black Black
Black Purple Purple Purple Purple Black Black Black Black Black Black
Black Purple Black Black Purple Black Black Black Black Black Black
Black Purple Black Black Purple Black Purple Purple Purple Purple Black
Black Purple Purple Purple Purple Black Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Orange Orange Orange Orange Black Black
Black Black Black Black Black Orange Orange Orange Orange Black Black
Black Yellow Yellow Yellow Black Orange Orange Orange Orange Black Black
Black Yellow Yellow Yellow Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Black Black Black Gray Gray Black Black
Black Yellow Yellow Yellow Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Gray Gray Black Black Black Gray Gray Black Black
Black Black Gray Gray 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


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 Purple Purple Purple Purple Black Black Black Yellow
Black Black Black Purple Purple Purple Purple Black Black Black Yellow
Black Black Black Purple Purple Purple Purple Black Black Black Yellow
Black Black Black Purple Purple Purple Purple Black Black Black Black
Black Yellow Yellow Black Black Black Black Black Orange Orange Orange
Black Yellow Yellow Black Black Purple Purple Black Orange Orange Orange
Black Yellow Yellow Black Black Purple Purple Black Orange Orange Orange
Black Black Black Black Black Purple Purple Black Orange Orange Orange
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 Black Black Black Black Black
```
assistant