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:
Purple Black Purple Purple Purple Purple Black Purple Purple Black Black Purple Purple Purple Black Purple Black Purple Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Purple Black Purple Purple Purple
Purple Purple Black Black Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Purple Purple Black Purple Black Blue Blue Blue Black Purple Purple Purple Black Purple Black Purple Black
Black Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Black Purple Black Black Purple Purple Purple Black Black
Purple Black Purple Purple Black Blue Blue Blue Blue Blue Blue Purple Purple Purple Black Purple Purple Black Purple Purple
Black Purple Purple Purple Purple Blue Blue Blue Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple
Black Black Black Purple Black Purple Purple Purple Black Black Black Purple Purple Purple Black Purple Black Purple Purple Black
Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Black Purple Black Purple Purple Purple Black Purple Black Purple Purple Purple Black Black Purple Purple Purple
Black Black Purple Purple Purple Purple Black Black Black Black Purple Black Purple Black Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Black Black Purple Black Purple Purple Black Purple Black Purple Black Black Black Purple Purple Purple
Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Black Purple
Black Purple Black Purple Purple Purple Black Purple Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Black Purple Black
Purple Purple Purple Black Black Purple Purple Purple Blue Blue Blue Purple Black Purple Black Purple Purple Purple Black Purple
Purple Purple Black Black Purple Purple Purple Purple Blue Blue Blue Purple Black Purple Purple Black Black Purple Purple Black
Black Purple Purple Purple Purple Purple Black Purple Blue Blue Blue Black Black Purple Purple Purple Purple Purple Black Purple
Purple Black Purple Black Black Black Purple Purple Black Black Purple Black Purple Purple Black Purple Black Purple Black Purple

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


Example 2
Input:
Yellow Yellow Yellow Black Yellow Black Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black
Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow
Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black
Black Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Yellow
Yellow Yellow Yellow Black Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Black Black Yellow Yellow Black Yellow Black Black Black Yellow Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Blue Blue Blue Yellow Black Black Yellow Yellow Yellow
Black Yellow Black Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black
Black Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Yellow Blue Blue Blue Yellow Yellow Black Black
Yellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Yellow
Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Black Yellow Black Yellow Black Black Yellow Yellow Black
Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Black Black Yellow Yellow
Yellow Yellow Yellow Yellow Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black
Yellow Yellow Black Yellow Black Yellow Yellow Black Black Yellow Black Black Yellow Yellow Black Yellow Black Yellow Yellow Black
Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black
Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black
Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow

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


Example 3
Input:
Black Black Black Black Yellow Yellow Black Yellow Yellow Black Yellow Black Yellow Black Black Black Black Yellow Yellow Yellow
Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Yellow Yellow Black Yellow Black Black Blue Blue Blue Yellow Black Yellow Black Black Yellow Yellow Yellow
Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Blue Blue Blue Yellow Black Black Yellow Black Yellow Yellow Yellow
Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Yellow Black Black Yellow Black Yellow Black Yellow
Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow
Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow
Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow
Black Yellow Yellow Black Yellow Black Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Black Black Yellow Black
Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow
Black Black Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Blue Blue Blue Yellow Black Yellow Black
Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Black Black Yellow Yellow Blue Blue Blue Black Black Yellow Yellow
Black Black Yellow Blue Blue Blue Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow
Yellow Yellow Black Blue Blue Blue Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow
Yellow Yellow Black Blue Blue Blue Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow
Black Yellow Black Yellow Yellow Black Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow

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


Here is the input grid for the test example:
Input:
Orange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black Orange Black Black Black Orange Black
Orange Black Orange Orange Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange
Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Black Orange Black Orange Orange Orange
Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Black
Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Black Orange Black Orange Orange Orange Black
Orange Orange Black Orange Orange Orange Black Orange Orange Orange Orange Black Blue Blue Blue Black Black Orange Black Orange
Orange Black Orange Black Orange Orange Orange Black Orange Orange Black Black Blue Blue Blue Orange Black Orange Orange Orange
Orange Blue Blue Blue Black Orange Orange Black Orange Orange Orange Orange Blue Blue Blue Orange Black Orange Orange Orange
Black Blue Blue Blue Orange Orange Black Black Orange Black Orange Blue Blue Blue Black Orange Orange Orange Black Orange
Orange Blue Blue Blue Orange Orange Orange Black Orange Black Orange Blue Blue Blue Orange Black Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Blue Blue Blue Orange Black Orange Black Black Orange
Orange Black Black Orange Black Black Orange Black Black Orange Orange Orange Orange Black Orange Black Orange Black Orange Orange
Orange Orange Orange Orange Black Orange Orange Black Orange Black Black Black Orange Orange Black Orange Black Orange Orange Black
Orange Orange Black Orange Black Orange Orange Black Orange Orange Black Orange Orange Black Orange Orange Black Black Orange Orange
Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Black Orange Black Black Orange Orange
Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Orange
Black Black Black Black Orange Orange Black Black Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black
Orange Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Black Orange
Black Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange
Black Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange 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:

```
Orange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black Orange Black Black Black Orange Black
Orange Black Orange Orange Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange
Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Black Orange Black Orange Orange Orange
Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Black
Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Black Orange Black Orange Orange Orange Black
Orange Orange Black Orange Orange Orange Black Orange Orange Orange Orange Black Pink Pink Pink Black Black Orange Black Orange
Orange Black Orange Black Orange Orange Orange Black Orange Orange Black Black Pink Pink Pink Orange Black Orange Orange Orange
Orange Pink Pink Pink Black Orange Orange Black Orange Orange Orange Orange Pink Pink Pink Orange Black Orange Orange Orange
Black Pink Pink Pink Orange Orange Black Black Orange Black Orange Pink Pink Pink Black Orange Orange Orange Black Orange
Orange Pink Pink Pink Orange Orange Orange Black Orange Black Orange Pink Pink Pink Orange Black Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Pink Pink Pink Orange Black Orange Black Black Orange
Orange Black Black Orange Black Black Orange Black Black Orange Orange Orange Orange Black Orange Black Orange Black Orange Orange
Orange Orange Orange Orange Black Orange Orange Black Orange Black Black Black Orange Orange Black Orange Black Orange Orange Black
Orange Orange Black Orange Black Orange Orange Black Orange Orange Black Orange Orange Black Orange Orange Black Black Orange Orange
Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Black Orange Black Black Orange Orange
Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Orange
Black Black Black Black Orange Orange Black Black Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black
Orange Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Black Orange
Black Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange
Black Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black
```
assistant