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 Green Green Green Black Black Black Black Orange Orange Orange Black Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Orange Orange Orange Black Orange Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Orange Orange Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Black
Black Black Black Black Orange Orange Pink Pink Pink Pink Pink Purple Purple Black Purple Purple Black
Black Black Purple Purple Purple Black Black Pink Pink Pink Black Purple Purple Purple Purple Purple Black
Black Orange Orange Orange Orange Orange Black Black Orange Orange Orange Black Black Pink Pink 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

Output:
Black Black 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 Red Red Red Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black
Black Black Black Black Red Red Red Red Black Black Red Red Red Black Red Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Blue Blue Red Red Red Red Red Red Red Red Red Red Black
Black Black Black Black Blue Blue Red Red Red Red Red Red Red Black Red Red Black
Black Black Blue Blue Blue Black Black Red Red Red Black Red Red Red Red Red Black
Black Blue Blue Blue Blue Blue Black Black Red Red Red Black Black Gray Gray 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


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Black Purple Purple Black Black Black Black Black Blue Blue Blue Black
Black Black Purple Purple Purple Black Black Black Black Black Black Black Blue Black Black
Black Black Black Purple Purple Purple Black Black Black Black Black Blue Blue Blue Black
Black Black Purple Purple Black Purple Black Red Red Black Black Blue Black Blue Black
Black Black Black Black Orange Black Red Red Red Red Black Yellow Yellow Yellow Black
Black Black Orange Black Black Black Red Red Red Red Black Yellow Yellow Yellow Black
Black Orange Orange Black Black Black Black Black Black Black Blue Blue Black Black Black
Black Orange Orange Gray Gray Gray Black Brown Black Black Black Black Black Green Black
Black Orange Orange Black Black Black Black Brown Black Black Black Black Black Green Black
Black Black Orange Black Black Black Black Brown Gray Gray Gray Gray Gray Green 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 Red Black Red Red Black Black Black Black Black Red Red Red Black
Black Black Red Red Red Black Black Black Black Black Black Black Red Black Black
Black Black Black Red Red Red Black Black Black Black Black Red Red Red Black
Black Black Red Red Black Red Black Red Red Black Black Red Black Red Black
Black Black Black Black Gray Black Red Red Red Red Black Red Red Red Black
Black Black Red Black Black Black Red Red Red Red Black Red Red Red Black
Black Red Red Black Black Black Black Black Black Black Gray Gray Black Black Black
Black Red Red Blue Blue Blue Black Blue Black Black Black Black Black Blue Black
Black Red Red Black Black Black Black Blue Black Black Black Black Black Blue Black
Black Black Red 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


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


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


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 Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Blue Black Black Black Black Black Black Black Black Black Blue Blue Black
Black Blue Black Black Black Black Black Black Black Black Black Blue Blue Black
Black Blue Black Black Black Black Black Red Red Black Red Red Black Black
Black Blue Black Black Blue Black Black Red Red Red Red Red Black Black
Black Black Black Black Blue Black Black Black Black Black Black Black Black Black
Black Black Gray Black Blue Black Black Black Black Black Blue Blue Blue Black
Black Black Gray Black Black Gray Black Black Black Black Black Black Black Black
Black Black Black Black Red Gray Black Red Black Black Black Black Black Black
Black Black Black Black Red Red Red Red 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
```
assistant