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:
Brown Brown Brown Brown Black Black Black Yellow Brown Purple
Purple Black Purple Black Purple Black Purple Black Purple Yellow
Brown Black Yellow Black Black Brown Brown Brown Brown Black
Purple Brown Black Yellow Yellow Brown Brown Brown Brown Black
Black Purple Black Black Black Brown Brown Brown Brown Purple
Black Brown Purple Yellow Yellow Black Yellow Brown Black Black
Black Brown Purple Purple Yellow Brown Yellow Brown Yellow Brown
Black Purple Brown Purple Yellow Black Yellow Brown Purple Purple
Black Brown Yellow Purple Black Purple Yellow Yellow Purple Yellow
Yellow Black Brown Purple Brown Yellow Yellow Brown Black Brown

Output:
Brown Brown Brown Brown Black Black Black Brown Brown Brown
Brown Black Brown Black Brown Black Brown Black Brown Brown
Brown Black Brown Black Black Brown Brown Brown Brown Black
Brown Brown Black Brown Brown Brown Brown Brown Brown Black
Black Brown Black Black Black Brown Brown Brown Brown Brown
Black Brown Brown Brown Brown Black Brown Brown Black Black
Black Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Brown Brown Brown Brown Black Brown Brown Brown Brown
Black Brown Brown Brown Black Brown Brown Brown Brown Brown
Brown Black Brown Brown Brown Brown Brown Brown Black Brown


Example 2
Input:
Blue Black Gray Black Gray Gray Gray Blue Black Yellow
Yellow Black Yellow Blue Yellow Yellow Gray Black Gray Blue
Blue Gray Yellow Gray Gray Black Yellow Blue Yellow Gray
Gray Yellow Yellow Blue Black Black Blue Gray Blue Gray
Yellow Black Blue Yellow Yellow Blue Gray Yellow Blue Blue
Blue Gray Gray Gray Gray Gray Blue Blue Yellow Black
Black Gray Gray Gray Gray Black Black Blue Black Black
Gray Gray Gray Gray Gray Gray Black Yellow Yellow Blue
Yellow Gray Gray Gray Gray Black Black Black Gray Black
Gray Black Black Yellow Black Gray Yellow Black Blue Blue

Output:
Blue Black Blue Black Blue Blue Blue Blue Black Blue
Blue Black Blue Blue Blue Blue Blue Black Blue Blue
Blue Blue Blue Blue Blue Black Blue Blue Blue Blue
Blue Blue Blue Blue Black Black Blue Blue Blue Blue
Blue Black Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Black Black Blue Black Black
Blue Blue Blue Blue Blue Blue Black Blue Blue Blue
Blue Blue Blue Blue Blue Black Black Black Blue Black
Blue Black Black Blue Black Blue Blue Black Blue Blue


Example 3
Input:
Blue Brown Brown Brown Yellow Yellow Black Blue Black Black
Black Black Blue Black Brown Yellow Yellow Brown Yellow Black
Orange Orange Orange Brown Yellow Blue Yellow Blue Brown Yellow
Orange Orange Orange Blue Brown Blue Black Black Yellow Yellow
Orange Orange Orange Black Brown Blue Black Blue Black Blue
Orange Orange Orange Black Blue Yellow Yellow Blue Brown Brown
Black Brown Blue Black Black Blue Yellow Blue Brown Black
Yellow Yellow Black Black Blue Brown Blue Brown Black Black
Black Black Black Black Black Brown Yellow Brown Yellow Black
Yellow Black Blue Brown Blue Blue Brown Brown Yellow Yellow

Output:
Blue Blue Blue Blue Blue Blue Black Blue Black Black
Black Black Blue Black Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Black Black Blue Blue
Blue Blue Blue Black Blue Blue Black Blue Black Blue
Blue Blue Blue Black Blue Blue Blue Blue Blue Blue
Black Blue Blue Black Black Blue Blue Blue Blue Black
Blue Blue Black Black Blue Blue Blue Blue Black Black
Black Black Black Black Black Blue Blue Blue Blue Black
Blue Black Blue Blue Blue Blue Blue Blue Blue Blue


Here is the input grid for the test example:
Input:
Purple Purple Orange Black Purple Black Purple Orange Orange Black
Black Pink Black Orange Pink Pink Pink Pink Pink Pink
Black Purple Purple Orange Purple Pink Pink Pink Pink Pink
Pink Black Orange Pink Orange Orange Pink Pink Pink Pink
Black Black Pink Purple Purple Black Black Orange Pink Purple
Orange Pink Purple Purple Purple Black Black Orange Pink Orange
Black Pink Orange Black Black Black Orange Purple Black Orange
Pink Pink Black Purple Black Black Black Pink Pink Black
Black Purple Purple Pink Pink Pink Purple Black Orange Orange
Black Purple Purple Pink Black Pink Orange Orange Orange 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 Black Purple Black Purple Purple Purple Black
Black Purple Black Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Black Black Purple Purple Purple
Purple Purple Purple Purple Purple Black Black Purple Purple Purple
Black Purple Purple Black Black Black Purple Purple Black Purple
Purple Purple Black Purple Black Black Black Purple Purple Black
Black Purple Purple Purple Purple Purple Purple Black Purple Purple
Black Purple Purple Purple Black Purple Purple Purple Purple Black
```
assistant