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

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Yellow Pink Black Purple Black Orange Green Black Black Orange Black Black Orange Blue Black Purple
Purple Yellow Black Black Black Orange Black Black Purple Black Black Black Black Orange Yellow Black Purple
Purple Orange Black Pink Black Black Purple Black Black Black Black Black Pink Black Black Black Purple
Purple Black Black Black Black Red Black Black Black Purple Orange Black Orange Black Black Gray Purple
Purple Black Black Yellow Black Black Black Purple Black Black Black Blue Black Black Black Pink Purple
Purple Black Black Orange Black Brown Black Black Black Orange Yellow Red Pink Black Pink Red Purple
Purple Black Black Black Black Black Black Black Black Black Black Yellow Black Black Orange Black Purple
Purple Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Blue Purple
Purple Black Yellow Black Black Brown Black Black Blue Black Black Black Black Black Black Purple Purple
Purple Black Black Black Black Black Black Black Black Black Purple Blue Black Black Blue Orange Purple
Purple Blue Black Black Black Black Black Black Orange Black Black Black Black Black Black Red 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 Black Black Black Gray Black Black Black Blue Black Brown Brown Black Black
Black Purple Black Black Pink Black Yellow Black Black Black Black Black Purple Black Black
Black Black Black Blue Purple Black Gray Pink Black Black Black Yellow Black Black Black
Black Black Black Brown Black Black Purple Yellow Black Black Black Red Black Green Black
Black Pink Black Black Black Black Blue Black Black Black Green Pink Green Black Black
Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black
Black Purple Black Black Black Purple Black Black Blue Black Black Black Black Black Black
Black Blue Green Yellow Black Black Black Blue Pink Orange Black Orange Black Black Black
Black Black Blue Yellow Black Black Red Black Black Black Black Black Black Blue Black
Black Black Brown Black Green Pink Green Black Gray Black Black Black Black Gray 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 Black Black Black Black Gray Black Black Black Blue Black Brown Brown Black Purple
Purple Purple Black Black Pink Black Yellow Black Black Black Black Black Purple Black Purple
Purple Black Black Blue Purple Black Gray Pink Black Black Black Yellow Black Black Purple
Purple Black Black Brown Black Black Purple Yellow Black Black Black Red Black Green Purple
Purple Pink Black Black Black Black Blue Black Black Black Green Pink Green Black Purple
Purple Black Black Black Black Black Black Black Blue Black Black Black Black Black Purple
Purple Purple Black Black Black Purple Black Black Blue Black Black Black Black Black Purple
Purple Blue Green Yellow Black Black Black Blue Pink Orange Black Orange Black Black Purple
Purple Black Blue Yellow Black Black Red Black Black Black Black Black Black Blue Purple
Purple Black Brown Black Green Pink Green Black Gray Black Black Black Black Gray 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 Black Black Black Black Black Black Black
Black Black Red Black Blue Pink Gray Black Black Yellow Black Black Black Black Brown Black
Black Black Black Black Orange Black Black Black Black Black Black Brown Black Black Black Black
Black Black Black Black Black Black Black Orange Black Black Black Black Yellow Black Black Black
Black Black Black Black Black Purple Black Black Gray Black Black Gray Black Black Black Black
Black Black Black Black Black Green Black Black Black Black Black Black Brown Yellow Green Black
Black Yellow Black Black Black Gray Black Brown Yellow Gray Black Black Black Black Black Black
Black Pink Black Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Brown Black Yellow Black Black Black Black Black Black Black
Black Gray Black Pink Black Yellow Black Pink Black Black Black Purple Black Black Black Black
Black Black Black Black Black Pink Black Pink Black Black Black Black Gray 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 Black Red Black Blue Pink Gray Black Black Yellow Black Black Black Black Brown Purple
Purple Black Black Black Orange Black Black Black Black Black Black Brown Black Black Black Purple
Purple Black Black Black Black Black Black Orange Black Black Black Black Yellow Black Black Purple
Purple Black Black Black Black Purple Black Black Gray Black Black Gray Black Black Black Purple
Purple Black Black Black Black Green Black Black Black Black Black Black Brown Yellow Green Purple
Purple Yellow Black Black Black Gray Black Brown Yellow Gray Black Black Black Black Black Purple
Purple Pink Black Pink Black Black Black Black Black Black Black Black Black Black Black Purple
Purple Orange Black Black Black Black Brown Black Yellow Black Black Black Black Black Black Purple
Purple Gray Black Pink Black Yellow Black Pink Black Black Black Purple Black Black Black Purple
Purple Black Black Black Black Pink Black Pink Black Black Black Black Gray Black Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple 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 Gray Black Black Black Black Gray Gray Black Black Orange Black Purple Black
Black Black Black Black Black Black Blue Black Black Black Black Black Black Black
Black Black Green Black Green Black Black Purple Black Black Black Black Brown Black
Black Black Black Blue Black Yellow Black Black Blue Black Black Black Black Black
Black Orange Black Black Black Black Red Black Black Black Brown Black Orange Black
Black Black Yellow Gray Black Black Black Black Black Black Black Black Red Black
Black Pink Black Black Black Pink Purple Blue Gray Black Black Black Black Black
Black Black Black Red Black Black Green Gray Black Pink Black Black Black Black
Black Green Black Black Black Black Black Black Black Black Yellow Black Purple Black
Black Black Black Black Purple Black Purple Black Black Black Black Black Black Black
Black Black Yellow Orange Pink Black Black Black Black Black Black Black Black Black
Black Red Black Black Blue Red Black Black Black Black Green 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:

```
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Gray Black Black Black Black Gray Gray Black Black Orange Black Purple Purple
Purple Black Black Black Black Black Blue Black Black Black Black Black Black Purple
Purple Black Green Black Green Black Black Purple Black Black Black Black Brown Purple
Purple Black Black Blue Black Yellow Black Black Blue Black Black Black Black Purple
Purple Orange Black Black Black Black Red Black Black Black Brown Black Orange Purple
Purple Black Yellow Gray Black Black Black Black Black Black Black Black Red Purple
Purple Pink Black Black Black Pink Purple Blue Gray Black Black Black Black Purple
Purple Black Black Red Black Black Green Gray Black Pink Black Black Black Purple
Purple Green Black Black Black Black Black Black Black Black Yellow Black Purple Purple
Purple Black Black Black Purple Black Purple Black Black Black Black Black Black Purple
Purple Black Yellow Orange Pink Black Black Black Black Black Black Black Black Purple
Purple Red Black Black Blue Red Black Black Black Black Green Black Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant