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 Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Green Green
Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Purple Blue Blue Green Brown Brown Brown Brown Green
Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Purple Blue Blue Green Brown Brown Brown Brown Green
Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Purple Blue Blue Green Brown Brown Brown Brown Green
Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Purple Blue Blue Green Brown Brown Brown Brown Green
Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Green Green Green
Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Purple Black Black Green Purple Black Black Black Green
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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Orange Orange Purple Purple Orange Purple Purple Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Purple Purple Purple Purple Purple Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Purple Purple Purple Purple Purple Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Purple Purple Purple Purple Purple Orange Gray Gray Gray Gray Gray Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Purple Purple Purple Purple Purple Orange Gray Gray Gray Gray Gray Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Purple Purple Purple Purple Purple Orange Gray Gray Gray Gray Gray Orange 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Black Black Black Black Black Orange Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black

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

Output:
Black
Purple


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Purple Blue Blue Blue Blue Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Orange Orange Orange Orange Orange Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Orange Orange Orange Orange Orange Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Orange Orange Orange Orange Orange Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Pink Black Black Purple Orange Orange Orange Orange Orange Purple Black Black Black Black Black Black Black Black
Black Black Black Pink Pink Pink Pink Pink Black Black Black Purple Orange Orange Orange Orange Orange Purple Black Black Black Black Black Black Black Black
Black Black Black Pink Pink Pink Pink Pink Black Black Black Purple Orange Orange Orange Orange Orange Purple Black Black Black Black Black Black Black Black
Black Black Black Pink Pink Pink Pink Pink Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Pink Pink Pink Pink Pink Black Black Black Purple Black Black Black Black Black Purple 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
Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Pink 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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black 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
Orange
Blue


Here is the input grid for the test example:
Input:
Pink Orange Orange Orange Orange Orange Orange Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Orange Orange Orange Orange Orange Orange Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Orange Orange Orange Orange Orange Orange Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Orange Orange Orange Orange Orange Orange Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink 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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Brown Brown Brown Orange Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Brown Brown Brown Orange Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Brown Brown Brown Orange Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Brown Brown Brown Orange Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Orange Brown Brown Brown Orange Black Black Black Black Black Black Black
Black Black Black Pink Yellow Yellow Yellow Yellow Yellow Pink Black Black Orange Brown Brown Brown Orange Black Black Black Black Black Black Black
Black Black Black Pink Yellow Yellow Yellow Yellow Yellow Pink Black Black Orange Brown Brown Brown Orange Black Black Black Black Black Black Black
Black Black Black Pink Yellow Yellow Yellow Yellow Yellow Pink Black Black Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Pink Yellow Yellow Yellow Yellow Yellow Pink Black Black Orange Black Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Pink Yellow Yellow Yellow Yellow Yellow Pink Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Pink Yellow Yellow Yellow Yellow Yellow Pink Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Pink Black Black Black Black Black Pink Black Black Black Black Blue Black Black Black Black Black Blue 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
Yellow
Orange
Black
```
assistant