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

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


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

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


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

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


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


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 Purple Purple Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Green Green Green
Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Green Green Green
Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Green Green Green
Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black
Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black
Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black
Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange
Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange
Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray
```
assistant