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

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


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

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


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

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

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