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 Green Green Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green
Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green Brown Green Green
Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Green
Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green
Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green
Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green
Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green
Blue Brown Green Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Green
Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green
Black Green Green Black Green Brown Black Green Green Black Green Green Black Green Green Black Green Green
Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green
Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green
Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Green
Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green
Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green
Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green
Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green
Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Green
Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Green
Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green
Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green
Gray Green Green Gray Green Green Gray Green Brown Gray Green Green Gray Green Green Gray Green Green
Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Green Blue Blue Green
Gray Green Green Gray Green Green Gray Green Green Gray Green Green Gray Green Brown Gray Green Green
Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Brown Gray Black
Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Blue
Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black 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 Black Black Black Black Black Black Black Black Black Black
Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Gray Black
Blue Brown Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Brown
Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Gray 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 Black Black Black
Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Gray Black
Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Blue
Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black 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 Black Black Black Black Black Black Black Black Black Black
Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Gray Black
Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Blue
Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black 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 Black Black Black Black Black Black Black Black Black Black
Gray Black Black Gray Black Black Gray Black Brown Gray Black Black Gray Black Black Gray Gray Black
Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Blue
Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Brown Gray Gray Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown


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

Output:
Black Brown Blue Brown Black Black Brown Blue Brown Black Black Brown Blue Brown Black Black Brown Blue Brown Black
Gray Pink Blue Pink Gray Gray Pink Blue Pink Gray Gray Pink Blue Pink Gray Gray Pink Blue Pink Gray
Red Blue Blue Blue Red Red Blue Blue Blue Red Red Blue Blue Blue Red Red Blue Blue Blue Red
Red Blue Black Blue Red Red Blue Black Blue Red Red Blue Black Blue Red Red Blue Black Blue Red
Black Brown Black Brown Black Black Brown Blue Brown Black Black Brown Blue Brown Black Black Brown Black Brown Black
Gray Pink Blue Pink Gray Gray Pink Blue Pink Gray Gray Pink Blue Pink Gray Gray Pink Blue Pink Gray
Red Blue Blue Blue Red Red Blue Blue Blue Red Red Blue Blue Blue Red Red Blue Blue Blue Red
Red Blue Black Blue Red Red Blue Black Blue Red Red Blue Black Black Red Red Blue Black Blue Red
Black Brown Blue Brown Black Black Brown Blue Brown Black Black Brown Blue Brown Black Black Brown Blue Brown Black
Gray Pink Blue Pink Gray Gray Pink Blue Black Gray Gray Pink Blue Pink Gray Gray Pink Blue Pink Gray
Red Blue Blue Blue Red Red Blue Blue Blue Red Red Blue Blue Blue Red Red Blue Blue Blue Red
Red Blue Black Blue Red Red Blue Black Blue Red Red Blue Black Blue Red Red Blue Black Blue Red
Black Brown Blue Brown Black Black Brown Blue Brown Black Black Brown Blue Brown Black Black Brown Blue Brown Black
Gray Pink Blue Pink Gray Gray Pink Blue Pink Gray Gray Pink Blue Pink Gray Gray Pink Blue Pink Gray
Red Blue Blue Blue Red Red Blue Blue Blue Red Red Blue Blue Blue Red Red Blue Blue Blue Red
Red Blue Black Blue Red Black Blue Black Blue Red Red Blue Black Blue Red Red Blue Black Blue Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 3
Input:
Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Red Red Red Red
Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Red Red Red Red
Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Black Red Red Red Red
Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Red Red Red Red
Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Red Red Red Red
Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Black Red Red Red Red
Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Red Red Red Red
Blue Yellow Yellow Yellow Blue Blue Yellow Red Yellow Blue Blue Yellow Yellow Yellow Blue Red Red Red Red
Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Black Red Red Red Red
Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Red Red Red Red
Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Red Red Red Red
Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Black Red Red Red Red
Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Red Red Red Red
Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Red Red Red Red
Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Black Red Red Red Red
Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Red Red Red Red
Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Red Yellow Yellow Yellow Blue Red Red Red Red
Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Black Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red

Output:
Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue
Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow
Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray
Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue
Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow
Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray
Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue
Blue Yellow Yellow Yellow Blue Blue Yellow Black Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Black Yellow
Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray
Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue
Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow
Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray
Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue
Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow
Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray
Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue
Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow
Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray
Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Blue


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


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:

```
Purple Gray Gray Purple Purple Gray Gray Purple Purple Gray Gray Purple Purple Gray Gray Purple Purple Black Gray Purple Gray
Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Black Blue Blue Yellow Yellow Blue Yellow
Black Red Red Black Black Red Red Black Black Red Red Black Black Red Red Black Black Red Red Black Red
Purple Gray Gray Purple Purple Gray Gray Purple Black Gray Gray Purple Purple Gray Black Purple Purple Gray Gray Purple Gray
Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Yellow
Black Red Red Black Black Red Red Black Black Red Red Black Black Red Red Black Black Black Red Black Red
Purple Gray Black Black Purple Gray Gray Purple Purple Gray Gray Purple Purple Gray Gray Purple Purple Gray Gray Purple Gray
Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Yellow
Black Red Red Black Black Red Red Black Black Red Red Black Black Red Red Black Black Red Red Black Red
Purple Black Gray Purple Purple Gray Gray Purple Purple Gray Gray Purple Purple Gray Gray Purple Purple Gray Gray Purple Black
Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Yellow
Black Red Red Black Black Red Red Black Black Red Red Black Black Red Red Black Black Red Red Black Red
Purple Gray Gray Purple Purple Gray Gray Purple Purple Gray Gray Purple Purple Gray Gray Purple Black Gray Gray Purple Gray
Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Yellow
Black Red Red Black Black Red Black Black Black Red Red Black Black Red Red Black Black Red Red Black Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant