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

Output:
Black Black Black Black Blue Black Black Black Purple Black Black
Black Black Red Black Blue Black Black Purple Red Purple Black
Black Blue Blue Blue Blue Brown Brown Brown Purple Black Black
Black Black Black Black Brown Black Brown Brown Yellow Yellow Yellow
Black Black Black Black Brown Blue Brown Brown Yellow Yellow Yellow
Black Black Black Black Brown Brown Brown Black Yellow Red Yellow
Black Black Black Black Gray Gray Black Black Yellow Yellow Yellow
Black Black Black Gray Red Gray Black Black Black Black Black
Black Black Black Gray Gray Black Black Black Black Black Black


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

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

Output:
Black Black Black Gray Gray Gray Black Black Black Black
Black Black Gray Red Gray Black Black Black Black Black
Black Black Black Gray Gray Gray Green Black Black Green
Black Black Black Black Black Black Green Red Green Green
Black Black Black Pink Pink Blue Green Green Green Green
Black Black Black Black Pink Pink Pink Black Black Black
Black Black Black Black Red Pink Black Black Black Black
Black Black Black Black Black Pink 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 Black Gray Gray Black Black Black Black
Black Red Gray Black Black Black Black Black
Gray Gray Gray Red Red Red Black Black
Black Black Black Red Red Purple Purple Purple
Black Brown Black Red Red Black Black Purple
Black Brown Brown Red Red Red Red Purple
Black Black Red Brown Black Black Black Purple
Black Black Black Brown 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 Black Gray Gray Black Black Black Black
Black Red Gray Black Black Black Black Black
Gray Gray Gray Red Red Red Black Black
Black Black Black Red Red Purple Purple Purple
Black Brown Black Blue Red Black Black Purple
Black Brown Brown Red Red Red Red Purple
Black Black Red Brown Black Black Black Purple
Black Black Black Brown Black Black Black Black
```
assistant