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


Example 2
Input:
Black Black Brown Black Orange Yellow Yellow Purple Gray
Purple Yellow Yellow Purple Purple Purple Orange Purple Purple
Black Black Green Green Green Green Green Purple Green
Black Black Black Red Gray Green Green Green Green
Black Black Black Black Black Black Brown Black Black
Black Black Black Black Black Black Brown 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 Black Black Black Black
Black Black Black 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 Brown Black Orange Yellow Yellow Purple Gray
Purple Yellow Yellow Purple Purple Purple Orange Purple Purple
Black Black Green Green Green Green Green Purple Green
Black Black Black Red Gray Green Green Green Green
Black Black Black Black Black Black Brown Black Black
Black Black Black Black Black Black Brown Brown Black
Black Black Black Black Black Black Brown Brown Black
Black Black Black Black Black Black Brown Black Black
Black Black Black Red Gray Green Green Green Green
Black Black Green Green Green Green Green Purple Green
Purple Yellow Yellow Purple Purple Purple Orange Purple Purple
Black Black Brown Black Orange Yellow Yellow Purple Gray


Example 3
Input:
Green Brown Brown Yellow Yellow Black Black Black
Purple Yellow Yellow Yellow Yellow Gray Black Black
Purple Purple Green Brown Yellow Gray Purple Purple
Black Black Green Gray Purple Black Black Black
Black Black Blue Black Black Black Black Black
Black 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

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


Here is the input grid for the test example:
Input:
Black Black Purple Purple Black Black Black Black
Black Black Purple Purple Black Black Black Black
Green Red Red Purple Brown Black Black Black
Yellow Brown Brown Brown Yellow Yellow Black Black
Yellow Green Brown Brown Brown Yellow Green Purple
Yellow Green Orange Gray Pink Pink Pink Black
Yellow Brown Brown Green Pink Red Pink Black
Blue Pink Pink Green Red Red Black Black
Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black
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 Black Purple Purple Black Black Black Black
Black Black Purple Purple Black Black Black Black
Green Red Red Purple Brown Black Black Black
Yellow Brown Brown Brown Yellow Yellow Black Black
Yellow Green Brown Brown Brown Yellow Green Purple
Yellow Green Orange Gray Pink Pink Pink Black
Yellow Brown Brown Green Pink Red Pink Black
Blue Pink Pink Green Red Red Black Black
Blue Pink Pink Green Red Red Black Black
Yellow Brown Brown Green Pink Red Pink Black
Yellow Green Orange Gray Pink Pink Pink Black
Yellow Green Brown Brown Brown Yellow Green Purple
Yellow Brown Brown Brown Yellow Yellow Black Black
Green Red Red Purple Brown Black Black Black
Black Black Purple Purple Black Black Black Black
Black Black Purple Purple Black Black Black Black
```
assistant