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

Output:
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 Black Yellow Yellow Yellow Black Black Black Black Black Black
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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue 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 Red Red Red Blue Blue Blue Black Black Black Black Black Black Red Red Red
Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black Red Red Red
Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black Red Red Red
Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Red Red Red
Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Red Red Red
Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Red Red Red
Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange Blue Blue Blue Red Red Red
Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange Blue Blue Blue Red Red Red
Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange Blue Blue Blue Red Red Red


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

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


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

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


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