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

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


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

Output:
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Purple Purple Red Red Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Purple Purple Red Red Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Red Red Blue Blue Brown Brown Red Red Brown Brown Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Red Red Blue Blue Brown Brown Red Red Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Brown Brown Yellow Yellow Brown Brown
Brown Brown Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Brown Brown Yellow Yellow Brown Brown
Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Brown Brown Green Green Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Brown Brown Green Green Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown


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

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 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 Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray Gray Gray
Gray Gray Gray Gray Yellow Yellow Blue Blue Gray Gray Purple Purple Brown Brown Gray Gray Gray Gray
Gray Gray Gray Gray Yellow Yellow Blue Blue Gray Gray Purple Purple Brown Brown 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Purple Purple Gray Gray Pink Pink Gray Gray
Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Purple Purple Gray Gray Pink Pink Gray Gray
Gray Gray Gray Gray Blue Blue Purple Purple Gray Gray Gray Gray Gray Gray Red Red Gray Gray
Gray Gray Gray Gray Blue Blue Purple Purple Gray Gray Gray Gray Gray Gray Red Red 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


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

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