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

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


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

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black


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

Output:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Black


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


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 Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue
Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue
Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue
Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue
Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue
Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue
Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue
Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue
Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue
Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue
Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
```
assistant