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


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

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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black 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 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 Gray Gray Gray 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 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 Gray Gray Gray 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 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 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


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


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


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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 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 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 Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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