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:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Blue Black Purple Purple
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 Black Blue Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Black Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Black Purple Purple
Black Orange Black Purple Black Gray Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Orange Orange Orange Purple Gray Gray Gray Purple Purple Purple Black Purple Purple Purple Black Purple Purple
Black Orange Black Purple Black Gray Black Purple Purple Purple Black Black Purple Black Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black
Red Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red
Red Black Black Black Black Black Black Black Red Red Red Red Black Blue Black Red Red
Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red
Red Black Black Red Black Black Red Red Red Red Red Red Red Red Red Red Red
Red Black Red Red Black Red Red Red Red Red Black Black Red Black Black Red Red
Red Black Red Red Black Red Red Red Red Red Black Red Red Red Black Red Red
Black Orange Black Red Black Gray Black Red Red Red Red Red Red Red Red Red Red
Orange Orange Orange Red Gray Gray Gray Red Red Red Black Red Red Red Black Red Red
Black Orange Black Red Black Gray Black Red Red Red Black Black Red Black Black Red Red
Red Black Red Red Black Red Red Red Red Red Red Red Red Red Red Red Red
Red Black Red Red Black Red Red Red Red Red Red Red Red Red Red Red Red
Red Black Red Red Black Red Red Red Red Red Red Red Red Red Red Red Red


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

Output:
Black Black Black Black Black Black Black Black Pink Black Red Black Black Black Black
Black Black Black Black Black Black Black Pink Pink Pink Red Red Red Red Black
Black Red Black Black Black Black Black Black Pink Black Red Red Red Red Red
Red Black Orange Black Red Black Black Black Black Black Red Red Red Red Red
Red Orange Orange Orange Red Red Red Black Black Black Black Black Red Red Red
Red Black Orange Black Red Red Red Black Black Black Red Black Red Red Red
Red Red Red Red Red Red Red Red Black Black Red Red Red Red Red
Red Red Red Red Red Red Red Black Red Black Red Black Red Red Red
Red Red Red Red Red Red Red Black Black Black Black Black Red Red Red
Black Gray Black Red Red Red Red Red Red Black Red Red Red Red Red
Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red
Black Gray Black Red Red Red Red Red Red Black Red Red Red Red Red


Example 3
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Blue Black Purple
Purple Purple Purple Purple Black Pink Black Purple Purple Purple Purple Purple Blue Blue Blue Purple
Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Purple Purple Black Blue Black Purple
Purple Purple Purple Purple Black Pink Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple

Output:
Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Red
Red Red Red Red Red Red Red Red Red Red Red Red Black Blue Black Red
Red Red Red Red Black Pink Black Red Red Red Red Red Blue Blue Blue Red
Red Red Red Red Pink Pink Pink Red Red Red Red Red Black Blue Black Red
Red Red Red Red Black Pink Black Red Red Red Red Red Red Red Black Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Red


Here is the input grid for the test example:
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Black Blue Black 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 Black Blue Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Black Black Yellow Black Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow Yellow Yellow Black Purple
Purple Purple Black Brown Black Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple
Purple Purple Brown Brown Brown Purple Purple Purple Black Yellow Yellow Yellow Black Purple
Purple Purple Black Brown Black Purple Purple Purple Black Black Yellow Black Black 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:

```
Red Red Red Red Red Red Red Red Red Red Red Red Black Purple
Red Red Red Black Blue Black Red Red Red Red Red Red Black Purple
Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Purple
Red Red Black Black Blue Black Black Black Black Black Red Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black Red Red
Red Red Red Red Red Red Red Black Black Black Black Black Red Red
Red Red Red Red Red Red Red Red Red Black Black Black Red Red
Red Red Red Red Red Red Red Red Red Red Black Black Red Red
Red Red Red Red Red Red Red Red Red Red Black Black Red Red
Red Red Red Red Red Red Red Red Black Black Yellow Black Black Red
Red Red Red Red Red Red Red Red Black Yellow Yellow Yellow Black Red
Red Red Black Brown Black Red Red Red Yellow Yellow Yellow Yellow Yellow Red
Red Red Brown Brown Brown Red Red Red Black Yellow Yellow Yellow Black Red
Red Red Black Brown Black Red Red Red Black Black Yellow Black Black Red
```
assistant