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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black 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 Black Black Purple Purple Black Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Orange Orange Purple Purple Purple Purple Black Orange Orange Black Black Black
Black Black Black Black Black Yellow Black Black Black Black Orange Purple Purple Purple Purple Black Orange Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Orange Orange Black Black Black Black Black Orange Orange Black Black Black
Black Black Black Yellow Yellow Black Black Black Black Orange Orange Black Black Black Black Black Orange Orange Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black
Black Black Yellow Yellow Yellow Yellow Black Black Black Orange Black Orange Orange Orange Orange Orange Black Orange Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black 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 Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Red Red Red Red Red Red Black Red Red Black Black Black
Black Black Black Black Black Red Black Black Black Black Red Red Red Red Red Black Red Black Black Black Black
Black Black Black Black Red Red Black Black Black Red Red Black Black Black Black Black Red Red Black Black Black
Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Black Red Red Black Black Black
Black Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black
Black Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black
Black Black Red Red Red Red Black Black Black Red Black Red Red Red Red Red Black Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Green Green Green Green Green Green Black Black Black Black Black Red Red Orange Orange Red Red Orange
Black Green Green Green Green Green Green Black Black Black Black Black Red Red Red Black Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Orange Orange Orange Black
Green Green Green Green Green Green Green Green Black Black Black Black Red Orange Orange Black Red Red Red
Green Green Green Green Green Green Green Green Black Black Black Black Red Orange Orange Black Red Red Red
Green Green Green Black Black Green Green Green Black Black Black Black Red Red Red Orange Orange Orange Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Orange Orange Orange
Black Black Black Black Red Red Red Black Black Black Black Black Red Red Orange Orange Red Red Orange
Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Red Gray Red Gray Gray Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Red Gray Gray Red Gray Gray Gray Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Gray Gray Gray Red Black Black Black Black Black Black Black

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


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Pink Pink Red Red Pink Black Red Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Pink Pink Pink Pink Red Pink Red Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Orange Black Black Pink Pink Pink Red Pink Pink Pink Red Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Blue Orange Black Black Black Red Pink Black Black Black Black Red Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Pink Pink Pink Red Pink Pink Pink Red Pink Black Black Black
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Orange Blue Orange Black Black Pink Pink Pink Pink Red Pink Red Pink Pink Black Black Black
Black Black Black Black Brown Blue Blue Brown Black Black Black Black Orange Black Orange Black Black Pink Pink Red Red Pink Black Red Pink Pink Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Blue Blue Brown Brown Blue Blue Brown 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 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 Brown Brown Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black
Black Black Black Brown Blue Blue Blue Blue Brown Black Black Black Black Black Black Black Black Black Black Black Brown 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 Brown Brown 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 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 Brown Brown 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 Brown 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 Brown Brown Brown Brown Brown Black Black Black Black Black Black
Black 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 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 Purple Purple Purple Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple Black Black Purple Orange Purple Purple Orange Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple Black Black Purple Orange Purple Purple Orange Purple 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 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 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 Black Black Black Black Black Black Black Black Black Black Black

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


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 Black Black Black Gray Black Black Black Black Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray
Black Black Pink Yellow Black Black Black Yellow Pink Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray
Black Black Pink Yellow Yellow Black Yellow Yellow Pink Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray
Black Black Pink Yellow Black Black Black Yellow Pink Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray
Black Black Black Yellow Yellow Black Yellow Yellow 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 Black Black Black Black Black
Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Pink Yellow Black Black Black Yellow Pink Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Pink Yellow Yellow Black Yellow Yellow Pink Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black
Black Black Pink Yellow Black Black Black Yellow Pink Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black
Black Black Black 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 Orange Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Orange Orange Pink Orange Orange 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red
Black Black Red Red Black Black Black Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red
Black Black Red Red Red Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red
Black Black Red Red Black Black Black Red Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red
Black Black Black Red Red Black Red Red 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
Black Black Black Red Red Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Red Red Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Red Red Red Black Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black
Black Black Red Red Black Black Black Red Red Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red 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 Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Orange Orange Orange Orange Orange 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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