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

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


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

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


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


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

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