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