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 Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Purple Purple Purple
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Purple Purple Purple
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Purple Purple Purple
Black Black Black Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black
Black Black Black Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black
Black Black Black Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black
Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black
Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black
Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black

Output:
Purple Purple Purple Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Purple Purple Purple Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Purple Purple Purple Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Green Green Green Yellow Yellow Yellow Red Red Red Black Black Black
Black Black Black Green Green Green Yellow Yellow Yellow Red Red Red Black Black Black
Black Black Black Green Green Green Yellow Yellow Yellow Red Red Red Black Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red
Black Black Black Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red
Black Black Black Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red
Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Purple Purple Purple
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Purple Purple Purple
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Purple Purple Purple
Black Black Black Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black
Black Black Black Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black
Black Black Black Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black
Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black
Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black
Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black


Example 2
Input:
Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple
Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple
Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple
Green Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow
Green Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow
Green Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow
Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple
Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple
Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple
Green Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow
Green Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow
Green Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow
Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple
Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple
Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple

Output:
Purple Purple Purple Blue Blue Blue Green Green Green Green Green Green
Purple Purple Purple Blue Blue Blue Green Green Green Green Green Green
Purple Purple Purple Blue Blue Blue Green Green Green Green Green Green
Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Green Green Green
Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Green Green Green
Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Green Green Green
Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink
Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink
Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink
Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Green Green Green
Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Green Green Green
Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Green Green Green
Purple Purple Purple Blue Blue Blue Green Green Green Green Green Green
Purple Purple Purple Blue Blue Blue Green Green Green Green Green Green
Purple Purple Purple Blue Blue Blue Green Green Green Green Green Green
Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple
Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple
Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple
Green Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow
Green Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow
Green Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow
Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple
Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple
Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple
Green Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow
Green Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow
Green Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow
Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple
Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple
Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple


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

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


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

```
Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow
Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow
Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray
Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow
Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow
Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow
Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple
Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple
Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple
Gray Gray Gray Purple Purple Purple Purple Purple Purple
Gray Gray Gray Purple Purple Purple Purple Purple Purple
Gray Gray Gray Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple
Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple
Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple
```
assistant