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 Purple Purple Purple Black Black Black Red Red Red Red Red Red
Black Black Black Purple Purple Purple Purple Black Black Black Black Red Black Red Red
Black Black Black Purple Purple Black Purple Black Black 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 Black Black Black Black Black Black
Black Black Black Red Red Black Red Black Black Black Black Black Blue Blue Black
Black Black Black Red Red Black Black Black Black Blue Blue Black Black Blue Blue
Black Black Black Black Red Red Red Black Black Blue Blue Blue Blue Blue Blue
Black Black Black Black Red Red Red Black Black Blue Black Blue Blue Black Blue
Black Black Black Black Red Red Black Black Black Blue Blue Blue Blue Blue Blue

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 Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue
Black Black Black Green Green Green Green Green Green Red Red Red Red Red Red
Black Black Black Green Green Green Green Green Green Red Red Red Red Red Red
Black Black Black Green Green Green Green Green Green Red Red Red Red Red Red
Black Black Black Green Green Green Green Green Green Red Red Red Red Red Red
Black Black Black Green Green Green Green Green Green Red Red Red Red Red Red


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

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 Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue
Black Black Black Green Green Green Green Green Green Red Red Red Red Red Red
Black Black Black Green Green Green Green Green Green Red Red Red Red Red Red
Black Black Black Green Green Green Green Green Green Red Red Red Red Red Red


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 Pink Pink Pink Black Black 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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Black Black Blue Blue Blue Black Blue
Black Black Black Black Black Black Black Gray Gray Black Black Black Black Blue Blue Blue
Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue

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 Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue
Black Black Black Black Black Black Green Green Green Green Green Red Red Red Red Red
Black Black Black Black Black Black Green Green Green Green Green Red Red Red Red Red
Black Black Black Black Black Black Green Green Green Green Green Red Red Red Red Red


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


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 Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue
Black Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue
Black Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue
Black Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue
Black Green Green Green Green Green Red Red Red Red Red
Black Green Green Green Green Green Red Red Red Red Red
Black Green Green Green Green Green Red Red Red Red Red
Black Green Green Green Green Green Red Red Red Red Red
```
assistant