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 Yellow Black Black Black Black Black Black
Black Black Black Purple Purple Black Black Black Black Black
Black Yellow Purple Black Purple Yellow Black Black Black Black
Black Black Purple 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

Output:
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 Black Black Black
Black Black Purple Purple Purple Black Black Black Black Black
Black Yellow Purple Black Purple Yellow Black Black Black Black
Black Black Purple Purple Purple 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


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


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 Gray Black Black Gray Black Black Black Gray Red
Blue Red Black Black Black Gray Black Gray Black Black
Purple Red Purple Black Black Red Black Black Black Black
Purple Purple Purple Purple Blue Black Black Black Black Purple
Purple Black Purple Red Red Gray Black Gray Red Red
Purple Purple Purple Purple Black Black Black Black Blue Purple
Purple Red Purple Black Black Black Black Red Black Black
Black Red Blue Black Black Gray Black Gray Black Black
Black Gray Black Red Gray Black Black Black Gray Black
Black Black Black Black Black Black Black Black Black Black
```
assistant