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 Blue Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Blue Blue Black Black Black Black Orange Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Black Orange Orange Orange Orange Orange Black Black Black Black Black
Black Black Black Black Black Blue Blue Blue Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Blue Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black
Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange 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 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 Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black
Black Orange Orange Orange Black Black Black Black Gray Black Black Black Black Purple Purple Purple Purple Purple Purple Purple
Orange Orange Orange Orange Orange Black Gray Gray Gray Gray Gray Black Black Black Purple Purple Purple Purple Purple Black
Black Orange Orange Orange Black Black Gray Gray Gray Gray Gray Black Black Black Purple Purple Purple Purple Purple Black
Black Black Orange Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Purple 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 Black Gray Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Blue Blue Black Black Black Black Yellow Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Black Black Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black
Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black
Black Yellow Yellow Yellow Black Black Black Black Blue Black Black Black Black Orange Orange Orange Orange Orange Orange Orange
Yellow Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue Blue Black Black Black Orange Orange Orange Orange Orange Black
Black Yellow Yellow Yellow Black Black Blue Blue Blue Blue Blue Black Black Black Orange Orange Orange Orange Orange Black
Black Black Yellow Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Orange Black Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Brown Brown Brown Brown Brown Black
Black Black Black Black Black Black Black Black Black Black Blue Black Pink Black Black Black Black Brown Brown Brown Brown Brown Black
Black Black Black Brown Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Brown Brown Brown Brown Brown Brown Brown
Black Brown Brown Brown Brown Brown Black Black Blue Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown Brown Black
Black Brown Brown Brown Brown Brown Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Brown Brown Brown Brown Brown Black
Brown Brown Brown Brown Brown Brown Brown Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Brown Black Black Black
Black Brown Brown Brown Brown Brown Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Brown Brown Brown Brown Brown Black Black Black Black Blue Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black 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 Green Black Black Purple Purple Purple Purple Purple Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Green Green Green Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Green Green Green Green Green Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Black Black Black Black Green Green Green Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black
Black Purple Purple Purple Black Black Black Black Green Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black
Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black 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 Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Blue 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 Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Green Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Green Green Green Green Green Black
Black Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black Black Black Green Green Green Green Green Black
Black Black Black Green Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Green Green Green Green Green Green Green
Black Green Green Green Green Green Black Black Blue Blue Blue Blue Blue Black Black Black Black Green Green Green Green Green Black
Black Green Green Green Green Green Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Green Green Green Green Green Black
Green Green Green Green Green Green Green Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Green Black Black Black
Black Green Green Green Green Green Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Green Green Green Green Green Black Black Black Black Blue Black Black Orange Black Black Black Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Black Black Orange Orange Orange Orange Orange Black Orange Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black
Black Black Orange Black Black Black Black Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black
Black Orange Orange Orange Black Black Black Black Yellow Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black
Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black
Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black
Black Black Orange 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 Orange Black Black Black Black Black


Example 3
Input:
Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Blue Blue Blue Black Black Black Orange Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Black Black
Black Black Black Blue Blue Blue Blue Blue Black Orange Orange Orange Orange Orange Black Black
Black Black Black Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Black
Black Black Black Black Red Blue Black Black Black Orange Orange Orange Orange Orange Black Black
Black Black Black Red Red Red Black Black Black Orange Orange Orange Orange Orange Black Black
Black Black Red Red Red Red Red Black Black Black Black Orange Black Black Black Black
Black Black Black Red Red Red 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 Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black
Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black
Black Black Black Black Green Green Green Green Green Green Green Black Orange Black Black Black
Black Black Black Black Black Green Green Green Green Green Orange Orange Orange Orange Orange Black
Black Black Black Black Black Green Green Green Green Green Orange Orange Orange Orange Orange Black
Black Black Black Black Black Black Black Green Black Orange Orange Orange Orange Orange Orange Orange
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 Orange Orange Orange Orange Orange 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

Output:
Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Blue Blue Blue Black Black Black Yellow Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Pink Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Pink Pink Pink Pink Pink Black Black Black Black Yellow Black Black Black Black
Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow 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 Gray Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Green Black Black Black Black
Black Black Gray Gray Gray Gray Gray Black Blue Blue Blue Blue Blue Green Green Green Green Green Black Black
Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Green Green Green Green Green Green Green Black
Black Black Black Black Gray Black Black Black Black Black Blue Black Green Green Green Green Green Green Green Black
Black Black Black Black Black Black Black Gray Black Black Black Green Green Green Green Green Green Green Green Green
Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Green Green Green Green Green Green Green Black
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Green Green Green Green Green Green Green Black
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Green Green Green Green Green Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Green 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 Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Blue Blue Blue Blue Blue Black Black Black Gray Black Black Black
Black Black Black Brown Black Black Black Black Blue Blue Blue Blue Blue Black Black Gray Gray Gray Black Black
Black Black Brown Brown Brown Black Black Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Black
Black Brown Brown Brown Brown Brown Black Black Blue Blue Blue Blue Blue Black Black Gray Gray Gray Black Black
Black Black Brown Brown Brown Black Black Yellow Blue Blue Blue Blue Blue Black Black Black Gray Black Black Black
Black Black Black Brown Black Black Yellow Yellow Yellow Black Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow 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 Yellow 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 Blue Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Yellow Black Black Black Black
Black Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Blue Black Black Black Black Black Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black Blue Black Black Black
Black Black Black Green Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Black Black
Black Black Green Green Green Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Green Green Green Green Green Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Black Black
Black Black Green Green Green Black Black Gray Blue Blue Blue Blue Blue Black Black Black Blue Black Black Black
Black Black Black Green Black Black Gray Gray Gray Black Blue 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 Black Black Gray Gray Gray 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
```
assistant