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 Purple Purple Gray Gray Green Green Green Green Yellow Yellow Black Black Black Black Yellow Yellow Black Black Red Red Orange Orange
Blue Blue Purple Purple Gray Gray Green Green Green Green Yellow Yellow Black Black Black Black Yellow Yellow Black Black Red Red Orange Orange
Black Black Pink Pink Orange Orange Black Black Green Green Red Red Orange Orange Gray Gray Pink Pink Black Black Purple Purple Yellow Yellow
Black Black Pink Pink Orange Orange Black Black Green Green Red Red Orange Orange Gray Gray Pink Pink Black Black Purple Purple Yellow Yellow
Black Black Pink Pink Purple Purple Black Black Yellow Yellow Green Green Black Black Yellow Yellow Pink Pink Green Green Black Black Blue Blue
Black Black Pink Pink Purple Purple Black Black Yellow Yellow Green Green Black Black Yellow Yellow Pink Pink Green Green Black Black Blue Blue
Brown Brown Black Black Yellow Yellow Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Gray Gray Green Green
Brown Brown Black Black Yellow Yellow Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Gray Gray Green Green
Brown Brown Orange Orange Pink Pink Blue Blue Brown Brown Red Red Black Black Black Black Pink Pink Black Black Gray Gray Pink Pink
Brown Brown Orange Orange Pink Pink Blue Blue Brown Brown Red Red Black Black Black Black Pink Pink Black Black Gray Gray Pink Pink
Orange Orange Gray Gray Gray Gray Black Black Blue Blue Gray Gray Black Black Blue Blue Orange Orange Yellow Yellow Purple Purple Black Black
Orange Orange Gray Gray Gray Gray Black Black Blue Blue Gray Gray Black Black Blue Blue Orange Orange Yellow Yellow Purple Purple Black Black
Black Black Pink Pink Black Black Black Black Yellow Yellow Black Black Brown Brown Brown Brown Purple Purple Purple Purple Black Black Black Black
Black Black Pink Pink Black Black Black Black Yellow Yellow Black Black Brown Brown Brown Brown Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Yellow Yellow Brown Brown Red Red Orange Orange Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Yellow Yellow Brown Brown Red Red Orange Orange Black Black Yellow Yellow

Output:
Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Purple Purple Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Purple Purple Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple
Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple
Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Blue Blue Gray Gray Purple Purple Gray Gray Blue Blue Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Blue Blue Gray Gray Purple Purple Gray Gray Blue Blue Gray Gray Gray Gray
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple
Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple


Example 2
Input:
Black Black Gray Gray Brown Brown Pink Pink Blue Blue Black Black Gray Gray Gray Gray Purple Purple Gray Gray
Black Black Gray Gray Brown Brown Pink Pink Blue Blue Black Black Gray Gray Gray Gray Purple Purple Gray Gray
Black Black Red Red Yellow Yellow Gray Gray Green Green Yellow Yellow Brown Brown Pink Pink Black Black Blue Blue
Black Black Red Red Yellow Yellow Gray Gray Green Green Yellow Yellow Brown Brown Pink Pink Black Black Blue Blue
Purple Purple Red Red Brown Brown Red Red Black Black Black Black Green Green Orange Orange Yellow Yellow Black Black
Purple Purple Red Red Brown Brown Red Red Black Black Black Black Green Green Orange Orange Yellow Yellow Black Black
Green Green Black Black Gray Gray Pink Pink Black Black Black Black Yellow Yellow Black Black Blue Blue Pink Pink
Green Green Black Black Gray Gray Pink Pink Black Black Black Black Yellow Yellow Black Black Blue Blue Pink Pink
Yellow Yellow Blue Blue Blue Blue Gray Gray Black Black Black Black Blue Blue Black Black Green Green Pink Pink
Yellow Yellow Blue Blue Blue Blue Gray Gray Black Black Black Black Blue Blue Black Black Green Green Pink Pink
Brown Brown Black Black Black Black Red Red Gray Gray Yellow Yellow Black Black Brown Brown Yellow Yellow Gray Gray
Brown Brown Black Black Black Black Red Red Gray Gray Yellow Yellow Black Black Brown Brown Yellow Yellow Gray Gray
Yellow Yellow Black Black Blue Blue Red Red Black Black Black Black Yellow Yellow Blue Blue Black Black Blue Blue
Yellow Yellow Black Black Blue Blue Red Red Black Black Black Black Yellow Yellow Blue Blue Black Black Blue Blue

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Purple Purple Gray Gray Blue Blue Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Purple Purple Gray Gray Blue Blue Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Purple Purple Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Purple Purple Gray Gray
Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray
Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray
Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Purple Purple Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Purple Purple Gray Gray
Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray


Example 3
Input:
Black Black Brown Brown Yellow Yellow Black Black Pink Pink Red Red Pink Pink Brown Brown Orange Orange Black Black Green Green
Black Black Brown Brown Yellow Yellow Black Black Pink Pink Red Red Pink Pink Brown Brown Orange Orange Black Black Green Green
Black Black Yellow Yellow Yellow Yellow Pink Pink Black Black Black Black Black Black Gray Gray Black Black Green Green Gray Gray
Black Black Yellow Yellow Yellow Yellow Pink Pink Black Black Black Black Black Black Gray Gray Black Black Green Green Gray Gray
Pink Pink Orange Orange Red Red Green Green Brown Brown Purple Purple Green Green Purple Purple Black Black Yellow Yellow Purple Purple
Pink Pink Orange Orange Red Red Green Green Brown Brown Purple Purple Green Green Purple Purple Black Black Yellow Yellow Purple Purple
Black Black Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black Pink Pink Blue Blue Black Black Black Black
Black Black Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black Pink Pink Blue Blue Black Black Black Black
Green Green Black Black Black Black Green Green Green Green Black Black Red Red Green Green Blue Blue Purple Purple Orange Orange
Green Green Black Black Black Black Green Green Green Green Black Black Red Red Green Green Blue Blue Purple Purple Orange Orange
Green Green Purple Purple Black Black Pink Pink Purple Purple Red Red Blue Blue Purple Purple Black Black Black Black Black Black
Green Green Purple Purple Black Black Pink Pink Purple Purple Red Red Blue Blue Purple Purple Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Green Green Pink Pink Black Black Green Green Yellow Yellow Orange Orange Green Green Red Red
Yellow Yellow Black Black Black Black Green Green Pink Pink Black Black Green Green Yellow Yellow Orange Orange Green Green Red Red

Output:
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue
Gray Gray Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray
Gray Gray Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray
Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Purple Purple Gray Gray
Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Purple Purple Gray Gray
Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray
Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray
Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Purple Purple Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue Purple Purple Gray Gray Blue Blue Gray Gray
Purple Purple Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue Purple Purple Gray Gray Blue Blue Gray Gray


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


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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple
Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray
Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue
Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Purple Purple
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Purple Purple
```
assistant