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 Blue Blue Blue Black Black Black Black Black Black Black Black
Black Orange Red Gray Black Black Black Black Blue Black Black Black Black Black Black Black Purple
Orange Orange Red Red Black Black Black Black Blue Black Black Black Black Purple Purple Purple Purple
Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Blue Black
Black Brown Yellow 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 Purple Gray Gray Black Black Black Black Black Black Black Gray Black Black Black
Black Black Black Brown Green Orange Black Black Black Black Black Black Yellow Orange Yellow Black Black
Black Black Black Brown Orange Orange Orange 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

Output:
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 Blue Black Black Black Black Black Black Black Black
Gray Orange Red Gray Black Black Gray Gray Blue Black Black Black Black Gray Gray Gray Purple
Orange Orange Red Red Black Black Gray Gray Blue Black Black Black Black Purple Purple Purple Purple
Gray Gray Gray Yellow Black Black Black Black Black Black Black Black Black Gray Gray Blue Gray
Gray Brown Yellow 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 Purple Gray Gray Gray Black Black Black Black Black Gray Gray Gray Black Black
Black Black Black Brown Green Orange Gray Black Black Black Black Black Yellow Orange Yellow Black Black
Black Black Black Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Orange 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


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


Example 3
Input:
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 Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Green Green Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black 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 Yellow Yellow
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 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 Blue Blue Pink Pink Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black

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


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 Gray Blue Blue Gray Black Black Black Black Black Black Black Black Black
Black Gray Gray Blue Gray Black Black Black Black Black Black Black Black Black
Black Gray Pink Blue Gray Black Black Black Black Black Black Black Black Black
Black Gray Blue Gray Gray Black Black Black Black Black Black Black Black Black
Black Gray Blue Pink Gray Black Black Black Black Black Black Black Black Black
Black Gray Gray Pink Blue Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Purple Black Black Black Black Black Black Black Black Black
Black Gray Blue Red Purple Black Black Black Black Black Black Black Black Black
Black Gray Blue Gray Gray Black Black Black Black Black Black Black Black Black
Black Blue Yellow Gray Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant