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

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


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

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


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

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


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