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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Brown Black Black Brown Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Yellow
Yellow Black Black Black Black Black Black Brown Black Black Black Black Black Blue Blue Blue Black Yellow
Yellow Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Blue Blue Black Yellow
Yellow Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow

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


Example 2
Input:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Yellow
Yellow Black Black Green Green Black Black Black Black Black Black Black Red Red Black Black Black Black Black Yellow
Yellow Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Green Green Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Purple Purple Black Black Black Red Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Purple Black Black Red Red Red Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Yellow
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow

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


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

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


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


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:

```
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Red Red Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Red Red Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
```
assistant