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

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


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

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


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

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


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


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:

```
Gray Gray Gray Blue Brown Brown Blue Brown Black
Brown Gray Gray Blue Gray Purple Blue Brown Gray
Purple Brown Purple Brown Gray Purple Brown Black Gray
Purple Brown Purple Purple Black Blue Purple Red Gray
Black Blue Black Red Black Blue Purple Red Gray
Brown Purple Black Red Gray Brown Gray Red Red
Brown Purple Black Black Brown Brown Gray Red Red
Black Blue Black Red Brown Black Black Red Blue
Black Blue Black Red Black Black Black Black Blue
```
assistant