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 Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Gray
Black Red Red Red Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Red Red Red Red Black Black Black Black
Black Red Red Red Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Red Red Red Red Black Black Black Black
Black Red Red Red Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Red Red Red Red Black Black Black Black
Black Red Red Red Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Pink Pink Pink Black Black Black Black Pink Black Green Green Green Green Green Green Green Green Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black
Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black
Black Black Black Black Black Black Black Blue Black Black Black Blue Black Black Green Green Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Green Green Green Green Red Black Black Black
Black Black Black Black Black Black Red Red Red Red Black Green Green Green Green Green Green Green Green Green Black Black Black Black
Pink Pink Pink Pink Black Black Red Red Red Red Black Green Green Green Green Green Green Green Green Green Black Black Black Black
Pink Pink Pink Pink Black Green Red Red Red Red Black Green Green Green Green Green Green Green Green Green Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Green Red Red Red Black Pink Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Pink Pink Pink Pink Pink Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black Black Red Red Red Black Pink Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Pink 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 Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Black Red Red Red Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Red Red Red Red Black Black Black Black
Black Red Red Red Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Red Red Red Red Black Black Black Black
Black Red Red Red Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Red Red Red Red Black Black Black Black
Black Red Red Red Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Pink Pink Pink Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black
Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Green Green Green Green Red Black Black Black
Black Black Black Black Black Black Red Red Red Red Black Green Green Green Green Green Green Green Green Green Black Black Black Black
Pink Pink Pink Pink Black Black Red Red Red Red Black Green Green Green Green Green Green Green Green Green Black Black Black Black
Pink Pink Pink Pink Black Green Red Red Red Red Black Green Green Green Green Green Green Green Green Green Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Green Red Red Red Black Pink Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Pink Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Black Black Black Black Black Black Black


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Orange Black Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black
Purple Purple 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 Orange Orange Orange Black Black Black
Black Black Black Red Black Black Black Black Black Orange Black Black Black Orange Orange Orange Black Black Gray
Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black
Black Black Black Orange Orange Orange Orange Black Black Black Black Gray Black Orange Orange Orange Black Black Black
Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black
Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black
Brown Black Black Brown Brown Brown Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black
Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Black Black Orange Orange Orange Orange Black Black
Orange Black Black Black Black Black Purple Purple Purple Purple Purple Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black
Purple Purple 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 Orange Orange Orange Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black
Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black
Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black
Black Black Black 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 Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black
Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black
Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black
Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Black Black Orange Orange Orange Orange Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple 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


Example 3
Input:
Black Black Black Black Green Green Green Green Green Black Black Black Black Black Red Red Red Red
Black Black Black Black Green Green Green Green Green Black Black Black Black Black Red Red Red Red
Black Black Black Red Green Green Green Green Green Black Black Black Black Black Red Red Red Red
Black Black Black Black Green Green Green Green Green Black Black Red Red Red Red Red Red Red
Black Black Black Black Green Green Green Green Green Black Black Red Red Red Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black Black Red Red Red Black Brown Black Black
Black Black Black Black Black Black Black Brown Brown Brown Black Red Red Red Brown Black Black Black
Black Black Black Black Black Black Black Brown Brown Brown Black Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Red Red Red Red
Black Black Brown Brown Brown Black Black Brown Brown Brown Black Black Black Black Red Red Red Black
Black Black Brown Brown Brown Black Black Brown Brown Brown Black Black Black Black Red Red Red Black
Black Black Brown Brown Brown Black Black Green Black Green Green Green Green Black Red Red Red Black
Black Black Brown Brown Brown Black Black Black Black Green Green Green Green Black Red Red Red Black
Black Black Brown Brown Brown Black Black Black Black Green Green Green Green Black Black Black Black Black
Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Brown Black Black Black Black Black Green Green Green Green Green Black Black Black
Black Black Brown Brown Brown Black Black Black Black Black Green Green Green Green Green Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black

Output:
Black Black Black Black Green Green Green Green Green Black Black Black Black Black Red Red Red Red
Black Black Black Black Green Green Green Green Green Black Black Black Black Black Red Red Red Red
Black Black Black Red Green Green Green Green Green Black Black Black Black Black Red Red Red Red
Black Black Black Black Green Green Green Green Green Black Black Red Red Red Red Red Red Red
Black Black Black Black Green Green Green Green Green Black Black Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Brown Black Red Red Red Brown Black Black Black
Black Black Black Black Black Black Black Brown Brown Brown Black Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Red Red Red Red
Black Black Brown Brown Brown Black Black Brown Brown Brown Black Black Black Black Red Red Red Black
Black Black Brown Brown Brown Black Black Brown Brown Brown Black Black Black Black Red Red Red Black
Black Black Brown Brown Brown Black Black Green Black Green Green Green Green Black Red Red Red Black
Black Black Brown Brown Brown Black Black Black Black Green Green Green Green Black Red Red Red Black
Black Black Brown Brown Brown Black Black Black Black Green Green Green Green Black Black Black Black Black
Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Brown Black Black Black Black Black Green Green Green Green Green Black Black Black
Black Black Brown Brown Brown Black Black Black Black Black Green Green Green Green Green Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black


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