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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black 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 Red Black Black Black Black Red 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 Black Black Black Black Black Yellow Green Blue Blue Green Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Yellow Green Blue Blue Green Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Green Red 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 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black 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:
Red Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Green Blue Blue Green Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Green Blue Blue Green Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Red Green Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black
Red 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 Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red 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 Black Black Black Black Black Yellow Green Blue Blue Green Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Yellow Green Blue Blue Green Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Green Red 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 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Purple Black Black Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Pink Black Yellow Yellow Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black
Black Pink Black Purple Purple Purple Purple Black Pink 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 Pink Black Purple Purple Purple Purple Black Pink Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Purple Yellow Yellow Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Purple Black Black Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Purple Black Black Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Purple Yellow Yellow Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Pink Black Purple Purple Purple Purple Black Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Purple Black Purple Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Purple Yellow Yellow Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Purple Purple Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black
Black Pink Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Black Purple Purple Purple Purple Black Pink Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Purple Yellow Yellow Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Purple Black Black Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Orange Blue Black Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Black Red Red Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black 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 Black Black Black Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Red Red Red Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Orange Blue Orange Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:
Pink Orange Blue Orange Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Red Red Red Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Black Black Black Pink Black Black Black Pink Orange Blue Black Pink Black Black Black Black Black Black Black Black
Blue Black Black Black Blue Black Black Black Pink Black Red Red Pink Black Black Black Black Black Black Black Black
Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Black Black Black Blue Black Black Black Blue Black Black Black Blue Black Black Black Black Black Black Black Black
Black Black Black Black Pink Black Black Black Gray Black Black Black Gray Black Black Black Black Black Black Black Black
Pink Red Red Red Pink Black Black Black Blue Black Black Black Blue Black Black Black Black Black Black Black Black
Pink Orange Blue Orange Pink Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Red Red Red Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Orange Blue Orange Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Purple Purple Purple Purple Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Yellow Yellow Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Green 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 Black Black Black
Black Black Black Black Purple Yellow Yellow Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Purple Purple Purple Purple Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Purple Purple 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 Blue Purple Purple Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Purple Purple Purple Purple Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Yellow Yellow Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Black Black Black Black Green 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 Black Black Black
Black Purple Yellow Yellow Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Purple Purple Purple Purple Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple 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 Black Black Blue Purple Purple Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Purple Purple Purple Purple Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Yellow Yellow Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Green 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 Black Black Black
Black Black Black Black Purple Yellow Yellow Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Purple Purple Purple Purple Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant