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


Example 3
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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black 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 Red Red Red Black Black Black Pink Red Purple Purple Black Black Black Black
Black Black Black Black Black Black Red Blue Blue Red Black Black Pink Gray Orange Green Blue Black Black Black Black
Black Black Black Black Black Black Red Blue Blue Black Black Black Pink Red Red Red 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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Red Red Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Blue Blue Orange Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Gray Gray 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 Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black 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 Red Red Red Black Black Black Pink Red Purple Purple Black Black Black Black
Black Black Black Black Black Black Red Blue Blue Red Black Black Pink Gray Orange Green Blue Black Black Black Black
Black Black Black Black Black Red Red Red Pink Black Black Black Pink Red Red Red Black Black Black Black Black
Black Black Black Black Blue Green Orange Gray Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Red Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Red Red Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Blue Blue Orange Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Gray Gray 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 Black Black 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 Brown Blue Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Blue 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 Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Brown Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Brown Red 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 Black Blue Pink Blue Black Black Black Black Black Black Black
Black Black Black Black 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 Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Brown Brown Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Brown Blue Blue Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Brown Brown Red Black Orange Orange Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Red Red Black Orange Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Green Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black
Black Black Black Black Black Brown Blue Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Blue 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 Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Brown Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Brown Red 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 Black Blue Pink Blue Black Black Black Black Black Black Black
Black Black Black Black 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 Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Brown Brown Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Brown Blue Blue Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Brown Purple Blue Brown Orange Orange Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Purple Purple Gray Orange Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Purple Gray Orange Green Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Blue 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
```
assistant