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

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black Black Purple Black Orange Black
Black Gray Gray Gray Black Black Black Black Black Purple Purple Purple Purple Purple Orange
Gray Gray Gray Gray Gray Black Black Black Black Purple Purple Purple Purple Purple Black
Black Gray Gray Gray Black Black Black Black Purple Purple Purple Purple Purple Purple Purple
Black Black Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black 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
Black Black Black Black Black Black 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:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 3
Input:
Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Gray Gray Gray Pink Black Black Black Black
Black Black Black Black Black Red Black Gray Gray Gray Gray Gray Black Black Black Black
Black Black Black Red Red Red Red Red Gray Gray Gray Pink Pink Black Black Black
Black Black Black Red Red Red Red Red Pink Gray Pink Pink Black Black Black Black
Black Black Red Red Red Red Red Red Red Pink Orange Pink Black Black Black Black
Black Black Black Red Red Red Red Red Black Orange Orange Orange Black Black Black Black
Black Black Black Red Red Red Red Red Blue Black Orange Black Black Black Black Black
Black Black Black Black Black Red Black Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue 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 Blue Black Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Pink Gray Gray Gray Pink Purple Purple Purple Purple
Purple Purple Purple Purple Purple Red Purple Gray Gray Gray Gray Gray Purple Purple Purple Purple
Purple Purple Purple Red Red Red Red Red Gray Gray Gray Pink Pink Purple Purple Purple
Purple Purple Purple Red Red Red Red Red Pink Gray Pink Pink Purple Purple Purple Purple
Purple Purple Red Red Red Red Red Red Red Pink Orange Pink Purple Purple Purple Purple
Purple Purple Purple Red Red Red Red Red Purple Orange Orange Orange Purple Purple Purple Purple
Purple Purple Purple Red Red Red Red Red Blue Purple Orange Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Red Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple


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 Orange Black Black Black Black Black Black
Black Black Black Black Black Red Orange Orange Orange Brown Black Black Black Black
Black Black Black Black Red Orange Orange Yellow Brown Brown Brown Black Black Black
Black Black Black Black Black Red Yellow Brown Brown Brown Brown Brown Black Black
Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Brown 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 Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Purple 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:

```
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant