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 Black Black Black Black Black Black Black Black Black Black 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 Black Black Black
Black Black Black Black Black Black Black Black Black Orange Blue Yellow Orange Blue
Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue
Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Blue Orange Yellow Blue Orange Black
Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black
Black Black Black Black 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:
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Blue Yellow Orange Blue Black Black Black Black Black Black Black
Black Orange Blue Yellow Yellow Blue Blue Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black
Blue Blue Yellow Yellow Yellow Orange Black Black Black Blue Blue Black Black Black
Blue Orange Orange Yellow Blue Orange Black Black Black Orange Blue Yellow Orange Blue
Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Blue Blue
Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Blue Orange Yellow Blue Orange Black
Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black
Black Black Black Black 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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Black Black Black Green Gray Black Black Black Black Black Black
Black Black Black Black Gray Gray Red Red Green Blue Black Black Black Black
Black Black Black Black Black Green Red Red Gray Gray Black Black Black Black
Black Black Black Black Black Black Gray Green Black Black Black Black Black Black
Black Black Black Black Black Black 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 Black Black

Output:
Black Black Black Black Gray Black Black Black Black Black Black Black Black Black
Black Black Blue Green Gray Black Black Black Black Black Black Black Black Black
Black Gray Green Red Red Green Black Black Black Black Black Black Black Black
Gray Gray Red Red Red Gray Gray Gray Black Black Black Black Black Black
Black Green Red Red Red Gray Green Gray Black Black Black Black Black Black
Black Black Gray Gray Gray Gray Red Red Green Blue Black Black Black Black
Black Black Gray Gray Black Green Red Red Gray Gray Black Black Black Black
Black Black Black Black Black Black Gray Green Black Black Black Black Black Black
Black Black Black Black Black Black 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 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
Black Black Purple Pink Pink Pink Purple Black Black Black
Black Black Pink Yellow Yellow Yellow Pink Black Black Black
Black Black Pink Yellow Blue Yellow Pink Black Black Black
Black Black Pink Yellow Yellow Yellow Pink Black Black Black
Black Black Purple Pink Pink Pink Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black

Output:
Purple Pink Pink Pink Purple Black Black Black Black Black
Pink Yellow Yellow Yellow Pink Black Black Black Black Black
Pink Yellow Blue Yellow Pink Black Black Black Black Black
Pink Yellow Yellow Yellow Pink Black Black Black Black Black
Purple Pink Pink Pink Purple Black Black Black Black Black
Black Black Purple Pink Pink Pink Purple Black Black Black
Black Black Pink Yellow Yellow Yellow Pink Black Black Black
Black Black Pink Yellow Blue Yellow Pink Black Black Black
Black Black Pink Yellow Yellow Yellow Pink Black Black Black
Black Black Purple Pink Pink Pink Purple 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 Black Black Black Black Black Black Black Black Black
Black Black Black 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 Black Purple Black Black Black Black Black Black
Black Purple Yellow Black Yellow Yellow Black Black Black Black Black Black
Black Black Yellow Blue Blue Black Blue Black Black Black Black Black
Black Black Black Blue Blue Yellow Black Black Black Black Black Black
Black Black Yellow Yellow Black Yellow Purple 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


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 Purple Black Black Black Black Black Black
Black Purple Blue Black Yellow Yellow Black Black Black Black Black Black
Purple Yellow Yellow Blue Blue Yellow Blue Black Black Black Black Black
Black Yellow Blue Blue Blue Yellow Black Black Black Black Black Black
Blue Blue Blue Blue Blue Yellow Purple Black Black Black Black Black
Black Yellow Yellow Blue Blue Purple Purple Black Black Black Black Black
Black Purple Yellow Black Yellow Yellow Black Black Black Black Black Black
Black Black Yellow Blue Blue Black Blue Black Black Black Black Black
Black Black Black Blue Blue Yellow Black Black Black Black Black Black
Black Black Yellow Yellow Black Yellow Purple 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
```
assistant