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 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
Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue
Black Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue
Black Black Black Black Blue Yellow Blue Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue
Black Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue
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 Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue
Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Black Black Blue Blue Yellow Yellow Blue Blue
Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Black Black Blue Blue Yellow Yellow Blue Blue
Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black

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


Example 2
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 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 Red Blue Red
Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red
Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Black Black
Black Black Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Red Red Black Black
Black Red Red Red Red Red Red Black Black Black Black Black Red Red Blue Blue Red Red Black Black
Black Red Red Red Red Red Red Black Black Black Black Black Red Red Red Red Red Red Black Black
Black Red Red Blue Blue Red Red Black Black Black Black Black Red Red Red Red Red Red Black Black
Black Red Red Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Red Red 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 Black Black Black Black Black Black Black Black Black

Output:
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black
Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Black Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black
Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black
Red Blue Red Black Black Black Black Black Black Black Red Blue Red Red Blue Red Red Blue Red Black
Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black
Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black
Red Blue Red Black Black Black Black Black Black Black Red Blue Red Red Blue Red Red Blue Red Black
Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black
Red Red Red Black Black Black Black Black Black Black Red Red Red Black Black Black Black Red Red Red
Red Blue Red Black Black Black Black Black Black Black Red Blue Red Black Black Black Black Red Blue Red
Red Red Red Red Red Red Red Red Red Black Red Red Red Black Black Black Black Red Red Red
Black Black Black Red Blue Red Red Blue Red Red Red Red Black Black Black Black Black Red Red Red
Black Black Black Red Red Red Red Red Red Red Blue Red Black Black Black Black Black Red Blue Red
Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Red Red Red
Black Black Black Black Black Black Red Blue Red Red Red Red Red Red Red Red Red Red Black Black
Black Black Black Black Black Black Red Red Red Red Blue Red Red Blue Red Red Blue Red Black Black
Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black
Black Black Black Black Black Black Red Blue Red 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


Example 3
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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Gray Gray Black Black Black Black
Yellow Yellow Yellow Red Red Red Red Red Red Black Yellow Yellow Red Red Red Red Black Black Black Black
Yellow Yellow Yellow Red Red Red Red Red Red Black Yellow Yellow Red Red Red Red Black Black Black Black
Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Yellow Red Red Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Blue Blue Gray Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Yellow Red Red Black Black Black Black Black Black
Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Yellow Yellow Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Red Red

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


Here is the input grid for the test example:
Input:
Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Black
Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Black
Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Purple Purple Pink Pink Black Black Black
Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Pink Pink Purple Purple Pink Pink Black Black Black
Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Pink Pink Purple Purple Pink Pink Black Black Black
Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Pink Pink Purple Purple Pink Pink Black Black Black
Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Black Black Black Pink Pink Pink Black Black Black
Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Black Black Black Pink Purple Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Purple Pink 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 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Purple Purple Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Purple Purple Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Purple Purple Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Purple Purple Pink Pink 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 Pink Pink Pink Black Black Black Black Black Pink Pink Pink Black
Black Black Black Black Black Black Black Black Pink Purple Pink Black Black Black Black Black Pink Purple Pink Black
Black Black Black Black Black Black Black Black Pink Purple Pink Black Black Black Black Black Pink Purple Pink Black
Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Pink Pink Pink Black
Black Black Black Black Black Black Black Black Pink Purple Pink Black Black Black Black Black Pink Purple Pink Black
Black Black Black Black Black Black Black Black Pink Purple Pink Black Black Black Black Black Pink Purple Pink Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Black
Black Black Black Black Black Black Black Black Pink Purple Pink Pink Purple Pink Black Black Pink Purple Pink Black
Pink Pink Pink Black Black Black Black Black Pink Purple Pink Pink Purple Pink Black Black Pink Purple Pink Black
Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black
Pink Purple Pink Pink Purple Pink Pink Purple Pink Pink Purple Pink Pink Purple Pink Black Pink Purple Pink Black
Pink Pink Pink Pink Purple Pink Pink Purple Pink Pink Purple Pink Pink Purple Pink Black Pink Purple Pink Black
Pink Purple Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Purple Pink Pink Purple Pink Black Black Black Black Black Pink Purple Pink Pink Purple Pink Pink Purple Pink
Pink Pink Pink Pink Purple Pink Black Black Black Black Black Pink Purple Pink Pink Purple Pink Pink Purple Pink
Pink Purple Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Purple Pink Pink Purple Pink Black Black Black Black Black Pink Purple Pink Pink Purple Pink Pink Purple Pink
Pink Pink Pink Pink Purple Pink Black Black Black Black Black Pink Purple Pink Pink Purple Pink Pink Purple Pink
Pink Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant