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

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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

Output:
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green


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

Output:
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green


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

```
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant