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 Pink Black Black
Pink Pink Black Pink Pink Black Black Black Black Black Black Pink Black Pink
Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black
Pink Pink Black Black Black Black Black Black Blue Black Black Pink Pink Black
Black Black Black Black Blue Blue Blue Blue Blue Black Black Pink Pink Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Pink Pink Pink Black Gray Gray Gray Gray Gray Black Black Black Gray Black
Pink Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black
Black Black Pink Black Gray Gray Black Black Black Black Black Gray Gray Black
Pink Black Pink Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Pink Black Pink Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Pink Black Black Black 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 Pink Black Black
Pink Pink Black Pink Pink Black Black Black Black Black Black Pink Black Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Black
Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Pink Pink Pink Black Gray Gray Gray Gray Gray Blue Blue Blue Gray Black
Pink Black Black Black Gray Gray Gray Gray Gray Gray Blue Gray Gray Black
Black Black Pink Black Gray Gray Blue Blue Blue Blue Blue Gray Gray Black
Pink Black Pink Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Pink Black Pink Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Pink Black Black Black 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 Green Green 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 Purple Black Purple 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 Purple Purple 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black 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 Gray Gray Gray 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black
Black Gray Gray Gray Gray 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Purple Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 Purple Black Purple 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 Purple Purple 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black 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 Gray Gray Gray 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black
Black Gray Gray Gray Gray 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Green Green Green Green Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Purple Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Black Black Black Black


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Gray Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Pink Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray 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 Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Black Pink Pink Pink Black Black Pink Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Pink Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Pink Pink
Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink
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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink

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


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 Blue Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Purple Purple
Purple Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black 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 Black Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Purple Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray Gray Black Gray Gray Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black
Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Black Black Black Gray Gray Black Black Black Purple Purple Black Black Black Black
Black Gray Gray Gray Black Black Black Black Gray Black Black Purple Purple Purple Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray 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 Black Black Black Black Black Black Purple Purple Purple 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
Purple 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
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 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 Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Purple Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray Gray Blue Gray Gray Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black
Black Gray Gray Blue Blue Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Blue Blue Blue Gray Gray Black Black Black Purple Purple Black Black Black Black
Black Gray Gray Gray Blue Blue Blue Blue Gray Black Black Purple Purple Purple Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray 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 Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black
```
assistant