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

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


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

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

Output:
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 Black Black Gray Gray Black Black Black Black Gray Gray Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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 Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow
Orange Orange Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray 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


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


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:

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