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 Orange Orange Black Black Purple Black Blue Black Black Black Black
Black Black Orange Blue Black Purple Yellow Black Black Black Black Black Black
Black Black Brown Brown Brown Blue Black Black Black Black Black Black Black
Black Black Brown Black Brown Black Yellow Black Black Black Black Black Black
Black Black Orange Blue Black Black Yellow Green Black Black Black Black Black
Black Black Orange Black Orange Black Black Black 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

Output:
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 Orange Orange Orange Black Purple Black Blue Black Black Black Black
Black Black Orange Blue Black Purple Yellow Green Black Black Black Black Black
Black Black Brown Brown Brown Blue Yellow Black Black Black Black Black Black
Black Black Brown Brown Brown Blue Yellow Black Black Black Black Black Black
Black Black Orange Blue Black Purple Yellow Green Black Black Black Black Black
Black Black Orange Orange Orange Black Purple Black 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


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
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Pink Black Black Yellow Black Black Black
Black Black Black Black Pink Pink Purple Purple Black Black Black Black
Black Black Black Black Green Green Green Green Red Black Black Black
Black Black Black Black Green Green Black Green Black Black Black Black
Black Black Black Black Pink Pink Purple Purple Red Black Black Black
Black Black Black Black Black Pink Black Gray Yellow 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

Output:
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 Purple Black Black Black Black
Black Black Black Black Black Pink Black Gray Yellow Black Black Black
Black Black Black Black Pink Pink Purple Purple Red Black Black Black
Black Black Black Black Green Green Green Green Red Black Black Black
Black Black Black Black Green Green Green Green Red Black Black Black
Black Black Black Black Pink Pink Purple Purple Red Black Black Black
Black Black Black Black Black Pink Black Gray Yellow 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


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Purple Purple Brown Black Purple Black
Black Black Black Black Black Pink Gray Black Purple Black Brown Purple Black Black
Black Black Black Black Black Gray Gray Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Pink Black Black Purple Yellow Brown Black Purple Black
Black Black Black Black Black Black Gray Gray Purple Purple Brown 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 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 Gray Gray Purple Purple Brown Purple Purple Black
Black Black Black Black Black Pink Gray Black Purple Yellow Brown Purple Purple Black
Black Black Black Black Black Gray Gray Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Pink Gray Black Purple Yellow Brown Purple Purple Black
Black Black Black Black Black Black Gray Gray Purple Purple Brown 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 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 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 Brown Pink Orange Orange Gray Black Black Black Black Purple
Black Black Black Black Black Black Orange Yellow Black Purple Black Gray Purple Purple
Black Black Black Black Black Pink Pink Yellow Yellow Blue Purple Green Purple Black
Black Black Black Black Red Green Black Pink Pink Pink Black Black Green Red
Black Black Black Black Orange Green Green Green Black Pink Pink Green Black Yellow
Black Black Black Black Black Green Green Green Black Black Black Black Black Black
Black Black Black Black Red Green Pink Black Pink Black Pink Green Green Red
Black Black Black Black Red Black Pink Yellow Black Black Purple Black Purple Black
Black Black Black Black Pink Pink Orange Yellow Yellow Purple Purple Gray Purple Purple
Black Black Black Black Black Pink Orange Black Black Black Black Black Blue 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:

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