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


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


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


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