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

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


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

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


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

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


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