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

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


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

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


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

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


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

```
Black Black Black Black Black Black Black Black Black Black Black Red Red Black
Red Brown Black Black Black Blue Purple Black Black Black Pink Brown Brown Black
Red Brown Pink Pink Gray Purple Purple Blue Blue Pink Red Pink Black Black
Black Pink Red Pink Black Purple Blue Gray Black Pink Pink Pink Black Black
Black Black Pink Pink Green Blue Blue Pink Green Green Black Gray Black Black
Black Black Blue Black Green Blue Yellow Brown Blue Blue Purple Purple Blue Black
Black Black Blue Gray Pink Brown Red Red Yellow Blue Blue Purple Purple Black
Black Purple Purple Blue Blue Yellow Red Red Brown Red Gray Blue Black Black
Black Blue Purple Purple Blue Blue Brown Yellow Blue Green Black Blue Black Black
Black Black Gray Black Green Green Pink Red Blue Red Pink Pink Black Black
Black Black Pink Pink Pink Black Gray Blue Purple Black Pink Red Pink Black
Black Black Pink Red Pink Blue Blue Purple Purple Gray Pink Pink Brown Red
Black Brown Brown Pink Black Black Black Purple Blue Black Black Black Brown Red
Black Red Red Black Black Black Black Black Black Black Black Black Black Black
```
assistant