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


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 Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Black Black Black Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Gray Black Red Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Brown Brown Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Red Black Black Brown Gray Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Black Black Pink 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 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

Output:
Black Black Black Black Black Black Black Black Gray Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Red Black Black Brown Gray Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Black Black Pink 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 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
Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink
Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Red
Gray Black Red Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Gray
Brown Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Brown Brown
Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Brown Brown
Brown Gray Red Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Red Black Black Brown
Gray Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red
Pink Black Black Black 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 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 Pink Black Black Black Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Gray Black Red Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Brown Brown Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Brown Brown 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 Gray 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 Gray Brown Black Black Black Red Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Black Black Blue Black Red Brown Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Orange Orange Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Red Black Black Orange Blue Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black Blue Black Black Brown Gray 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 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 Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black 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 Blue Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Red Black Black Orange Blue Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black Blue Black Black Brown Gray 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 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 Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown
Red Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Brown Black Black Black Red
Blue Black Red Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Blue
Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Orange Orange
Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Orange Orange
Orange Blue Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Red Black Black Orange
Blue Black Black Brown Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Blue
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
Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown
Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray 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 Gray Brown Black Black Black Red Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Black Black Blue Black Red Brown Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Orange Orange Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant