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:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple 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 Purple
Purple Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Purple
Purple Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Purple
Purple Black Black Blue Blue Blue Blue Brown Brown Black Black Black Black Black Purple
Purple Black Black Blue Blue Blue Blue Blue Brown Orange Orange Orange Orange Black Purple
Purple Black Black Black Black Blue Blue Blue Brown Brown Brown Orange Orange Black Purple
Purple Black Black Black Black Blue Blue Blue Black Brown Brown Orange Orange Black Purple
Purple Black Black Black Black Black Black Black Black Brown Brown Black Black Black Purple
Purple Black Black Black Black Black Black Pink Pink Brown Brown Black Black Black Purple
Purple Black Black Black Black Black Black Pink Pink Black Black Black Black Black Purple
Purple Black Black Black Black Black Black Pink Pink Black Black Black Black Black Purple
Purple Black Black Black Black Black Black Pink Pink Black Black Black Black Black Purple
Purple 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 Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple

Output:
Purple


Example 2
Input:
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Orange
Orange Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Orange
Orange Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Orange
Orange Black Black Black Black Black Red Red Red Red Black Black Blue Blue Black Black Orange
Orange Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Orange
Orange Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Orange
Orange Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Orange
Orange Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Orange
Orange Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Orange
Orange Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Orange
Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange
Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange

Output:
Orange


Example 3
Input:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Gray
Gray Black Black Black Black Black Black Black Blue Blue Pink Pink Pink Pink Black Black Black Gray
Gray Black Black Black Black Black Black Black Blue Blue Pink Pink Pink Pink Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Gray 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray

Output:
Gray


Here is the input grid for the test example:
Input:
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Pink
Pink Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Pink
Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink
Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Pink
Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Pink
Pink Green Green Black Black Black Purple Purple Purple Gray Gray Gray Gray Black Black Pink
Pink Black Black Black Black Black Purple Purple Purple Gray Gray Gray Gray Black Black Pink
Pink Black Black Black Black Black Black Black Black Green Green Black Black Black Black Pink
Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink
Pink Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Pink
Pink Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Pink
Pink Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Pink
Pink Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Pink
Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink


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:

```
Pink
```
assistant