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

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


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

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


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

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


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