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

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


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

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


Example 3
Input:
Black Black Black Blue Yellow Black Black Green Black Pink
Black Black Black Black Black Yellow Black Black Black Black
Green Black Pink Black Black Yellow Black Yellow Black Black
Gray Black Black Pink Black Black Black Black Black Green
Black Black Black Yellow Green Black Black Gray Yellow Black
Green Black Green Black Black Black Pink Black Black Black
Black Pink Blue Black Black Black Blue Black Green Black
Yellow Yellow Black Black Black Yellow Yellow Black Green Gray
Black Black Black Gray Black Black Black Green Black Black
Pink Black Yellow Blue Yellow Black Black Yellow Black Green

Output:
Green Black Gray Gray Yellow Black Green Green Black Pink
Black Green Green Green Gray Green Gray Black Pink Black
Yellow Green Green Black Green Gray Yellow Pink Black Green
Yellow Black Yellow Green Pink Gray Pink Yellow Black Green
Blue Gray Yellow Blue Green Pink Black Yellow Yellow Black
Yellow Blue Gray Blue Pink Green Yellow Black Black Yellow
Yellow Gray Blue Gray Green Yellow Pink Pink Green Blue
Yellow Blue Pink Green Gray Yellow Yellow Pink Blue Gray
Black Pink Yellow Pink Green Gray Black Blue Black Black
Pink Black Pink Blue Green Green Blue Green Black Green


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