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 Blue Red Pink Red Blue Black Black Black Black Black Black Black Black Black
Black Black Pink Red Pink Red 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 Purple Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Orange Black Black Orange Orange Black Orange Orange Black Black Black
Black Black Black Purple Purple Orange Black Black Gray Gray Black Gray Gray Black Black Black
Black Black Black Black Purple Pink Black Black Red Black Black Black Red Black Black Black
Black Black Black Black Black Black Black Black Red Pink Red Pink Red Black Black Black
Black Black Black Black Black Black Black Black Black Pink Black Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple 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


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 Brown Orange Black Black Black Black
Black Black Black Black Black Black Black Black Brown Gray Black Black Black Black
Black Black Black Black Black Black Black Black Brown Gray Black Black Black Black
Black Black Black Black Black Black Black Black Brown Gray Black Black Black Black
Black Black Black Black Black Black Black Black Brown Orange 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 Black Black Black Black Brown Black Black Black
Black Black Brown Black Black Orange Black Black Black Black Brown Green Black Black
Black Brown Brown Black Black Gray Gray Black Black Black Brown Black Black Black
Black Brown Black Black Black Black Brown Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple 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


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

Output:
Purple Black Black Black Purple Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple 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
Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Purple Black Purple Purple Purple 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 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


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 Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Gray Gray 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 Black
Black Black Black Black Black Black Black Black Black Black Pink Black Purple Black Pink Black
Black Black Black Black Black Black Black Black Black Black Purple Yellow Yellow Yellow Purple Black
Black Black Brown Brown Brown Black 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 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple 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
Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant