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


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

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


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

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


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


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:

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