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 Yellow Black Black Purple Purple Purple Purple Blue Blue Blue Blue Gray Gray Yellow Yellow Brown Brown
Yellow Yellow Black Black Purple Purple Purple Purple Blue Blue Blue Blue Gray Gray Yellow Yellow Brown Brown
Black Black Blue Blue Gray Gray Yellow Yellow Blue Blue Blue Blue Purple Purple Brown Brown Black Black
Black Black Blue Blue Gray Gray Yellow Yellow Blue Blue Blue Blue Purple Purple Brown Brown Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Purple Purple Gray Gray Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Purple Purple Gray Gray Black Black
Gray Gray Black Black Brown Brown Blue Blue Yellow Yellow Purple Purple Black Black Brown Brown Brown Brown
Gray Gray Black Black Brown Brown Blue Blue Yellow Yellow Purple Purple Black Black Brown Brown Brown Brown
Gray Gray Black Black Black Black Brown Brown Gray Gray Blue Blue Yellow Yellow Black Black Black Black
Gray Gray Black Black Black Black Brown Brown Gray Gray Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Brown Brown Gray Gray Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Gray Gray Brown Brown Black Black Black Black Black Black
Black Black Black Black Gray Gray Blue Blue Gray Gray Black Black Black Black Yellow Yellow Gray Gray
Black Black Black Black Gray Gray Blue Blue Gray Gray Black Black Black Black Yellow Yellow Gray Gray
Black Black Purple Purple Black Black Black Black Black Black Purple Purple Brown Brown Gray Gray Black Black
Black Black Purple Purple Black Black Black Black Black Black Purple Purple Brown Brown Gray Gray Black Black
Black Black Blue Blue Purple Purple Purple Purple Gray Gray Black Black Black Black Blue Blue Gray Gray
Black Black Blue Blue Purple Purple Purple Purple Gray Gray Black Black Black Black Blue Blue Gray Gray
Yellow Yellow Yellow Yellow Gray Gray Purple Purple Gray Gray Yellow Yellow Brown Brown Blue Blue Black Black
Yellow Yellow Yellow Yellow Gray Gray Purple Purple Gray Gray Yellow Yellow Brown Brown Blue Blue Black Black
Blue Blue Black Black Black Black Black Black Purple Purple Gray Gray Purple Purple Black Black Yellow Yellow
Blue Blue Black Black Black Black Black Black Purple Purple Gray Gray Purple Purple Black Black Yellow Yellow

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


Example 2
Input:
Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Gray Gray
Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Gray Gray
Green Green Black Black Orange Orange Gray Gray Black Black Black Black Purple Purple Gray Gray Pink Pink Black Black Orange Orange
Green Green Black Black Orange Orange Gray Gray Black Black Black Black Purple Purple Gray Gray Pink Pink Black Black Orange Orange
Purple Purple Gray Gray Black Black Black Black Black Black Pink Pink Black Black Purple Purple Black Black Black Black Purple Purple
Purple Purple Gray Gray Black Black Black Black Black Black Pink Pink Black Black Purple Purple Black Black Black Black Purple Purple
Green Green Green Green Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple Orange Orange
Green Green Green Green Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple Orange Orange
Orange Orange Purple Purple Pink Pink Green Green Green Green Black Black Pink Pink Black Black Black Black Black Black Green Green
Orange Orange Purple Purple Pink Pink Green Green Green Green Black Black Pink Pink Black Black Black Black Black Black Green Green
Purple Purple Black Black Green Green Gray Gray Pink Pink Black Black Green Green Gray Gray Pink Pink Gray Gray Black Black
Purple Purple Black Black Green Green Gray Gray Pink Pink Black Black Green Green Gray Gray Pink Pink Gray Gray Black Black
Black Black Black Black Pink Pink Black Black Pink Pink Purple Purple Gray Gray Pink Pink Orange Orange Black Black Green Green
Black Black Black Black Pink Pink Black Black Pink Pink Purple Purple Gray Gray Pink Pink Orange Orange Black Black Green Green
Gray Gray Pink Pink Black Black Gray Gray Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black
Gray Gray Pink Pink Black Black Gray Gray Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black

Output:
Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Gray Gray
Green Green Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black
Green Green Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Green Green Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Purple Purple Orange Orange
Green Green Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Purple Purple Orange Orange
Orange Orange Purple Purple Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Green Green
Orange Orange Purple Purple Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Green Green
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Green Green
Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Green Green
Gray Gray Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black


Example 3
Input:
Black Black Yellow Yellow Black Black Gray Gray Green Green Black Black Green Green Yellow Yellow Black Black Gray Gray
Black Black Yellow Yellow Black Black Gray Gray Green Green Black Black Green Green Yellow Yellow Black Black Gray Gray
Black Black Black Black Pink Pink Green Green Gray Gray Green Green Black Black Black Black Black Black Blue Blue
Black Black Black Black Pink Pink Green Green Gray Gray Green Green Black Black Black Black Black Black Blue Blue
Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Yellow Yellow Gray Gray Black Black Black Black Blue Blue Black Black Yellow Yellow Pink Pink Pink Pink Black Black
Yellow Yellow Gray Gray Black Black Black Black Blue Blue Black Black Yellow Yellow Pink Pink Pink Pink Black Black
Black Black Gray Gray Pink Pink Yellow Yellow Yellow Yellow Blue Blue Black Black Yellow Yellow Gray Gray Pink Pink
Black Black Gray Gray Pink Pink Yellow Yellow Yellow Yellow Blue Blue Black Black Yellow Yellow Gray Gray Pink Pink
Black Black Black Black Black Black Black Black Black Black Green Green Gray Gray Gray Gray Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Green Green Gray Gray Gray Gray Black Black Pink Pink
Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Green Green Yellow Yellow Black Black Black Black
Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Green Green Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Green Green Black Black Green Green Gray Gray Black Black Pink Pink Yellow Yellow
Black Black Black Black Yellow Yellow Green Green Black Black Green Green Gray Gray Black Black Pink Pink Yellow Yellow

Output:
Black Black Black Black Black Black Gray Gray Green Green Black Black Green Green Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Gray Gray Green Green Black Black Green Green Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Blue Blue
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Blue Blue Black Black Yellow Yellow Pink Pink Black Black Black Black
Black Black Gray Gray Black Black Black Black Blue Blue Black Black Yellow Yellow Pink Pink Black Black Black Black
Black Black Black Black Pink Pink Yellow Yellow Black Black Blue Blue Black Black Black Black Gray Gray Black Black
Black Black Black Black Pink Pink Yellow Yellow Black Black Blue Blue Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
Blue Blue Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Green Green Black Black Green Green Gray Gray Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Green Green Black Black Green Green Gray Gray Black Black Black Black Black Black


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


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 Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray 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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red 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 Purple Purple Black Black Black Black Black Black Black Black Black Black
Red Red Brown Brown Red Red Black Black Blue Blue Gray Gray Black Black Black Black Brown Brown Black Black
Red Red Brown Brown Red Red Black Black Blue Blue Gray Gray Black Black Black Black Brown Brown Black Black
Black Black Brown Brown Black Black Black Black Gray Gray Blue Blue Black Black Red Red Brown Brown Red Red
Black Black Brown Brown Black Black Black Black Gray Gray Blue Blue Black Black Red Red Brown Brown Red Red
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 Purple Purple Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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 Purple Purple 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 Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
```
assistant