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

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

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


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

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


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