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 Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Brown Yellow Black Black
Black Black 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 Blue Black Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Yellow Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Brown Blue Yellow Blue Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Brown Brown Black Black
Black Black Black Black Black Black Black Black Brown Yellow Black Yellow Black Blue Black Blue Black
Black Black Black Black Black Black Black Blue Brown Brown Yellow Blue Yellow Black Brown Yellow Yellow
Black Black Black Black Black Black Brown Blue Blue Blue Blue Yellow Black Blue Yellow Yellow Blue
Black Black Black Black Black Black Black Yellow Brown Blue Yellow Black Black Black Yellow Blue Brown

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 Black Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Yellow Black Black
Black Black 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 Blue Black Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black Brown
Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Brown Black Black
Black Black Black Black Black Black Black Black Brown Yellow Black Yellow Black Blue Black Blue Black
Black Black Black Black Black Black Black Blue Black Black Yellow Black Yellow Black Brown Black Yellow
Black Black Black Black Black Black Brown Black Black Black Black Yellow Black Blue Black Black Black
Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Yellow Black Black


Example 2
Input:
Black Black Black Purple Green Green Purple Black Black Black Black Black Black Black Black
Black Black Purple Purple Orange Green Purple Purple Black Black Black Black Black Black Black
Black Orange Purple Orange Purple Orange Orange Black Black Black Black Black Black Black Black
Purple Green Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black
Green Green Purple Green Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Orange Purple Orange Green Black Black
Black Purple Black Black Black Purple Black Black Black Black Purple Orange Purple Purple Black
Orange Orange Orange Black Purple Green Green Black Black Black Green Orange Green Green Orange
Purple Orange Purple Purple Black Purple Black Black Black Black Black Purple Green Green Black
Purple Purple Orange Black Black Black Black Black Black Black Black Black Green Black Black

Output:
Black Black Black Purple Black Black Purple Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Purple Black Black Black Black Black Black Black
Black Orange Black Black Black Black Orange Black Black Black Black Black Black Black Black
Purple Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black
Purple Black Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Orange Black Orange Green Black Black
Black Purple Black Black Black Purple Black Black Black Black Purple Black Black Purple Black
Orange Black Orange Black Purple Black Green Black Black Black Green Black Black Black Orange
Black Black Black Purple Black Purple Black Black Black Black Black Purple Black Green Black
Black Black Orange Black Black Black Black Black Black Black Black Black Green Black Black


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green
Black Green Black Black Black Black Black Black Black Black Black Black Gray Pink Gray Green
Gray Green Pink Black Black Black Black Black Black Black Black Black Gray Green Pink Pink
Black Pink Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black
Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Gray Black Black Black Black Black Black Black Black Black
Black Green Black Green Gray Pink Green Gray Black Black Black Black Black Black Black Black
Gray Green Gray Green Pink Green Pink Pink Pink Black Black Black Black Black Black Black
Black Green Gray Pink Green Gray Green Green Black Black Gray Black Black Black Black Black
Black Black Black Gray Green Green Pink Black Black Gray Pink Gray Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green
Black Green Black Black Black Black Black Black Black Black Black Black Gray Black Black Black
Gray Black Pink Black Black Black Black Black Black Black Black Black Gray Black Black Pink
Black Pink Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black
Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Black Gray Black Black Black Black Black Black Black Black Black
Black Green Black Green Black Black Black Gray Black Black Black Black Black Black Black Black
Gray Black Gray Black Black Black Black Black Pink Black Black Black Black Black Black Black
Black Green Gray Black Black Black Black Green Black Black Gray Black Black Black Black Black
Black Black Black Gray Black Green Pink Black Black Gray Black Gray Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black Black Black


Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Gray Black Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Red Black Black Black Black Black Black
Black Black Black Black Black Black 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 Brown Black Black Black Black Black Black Black Black
Black Black Black Black Red Gray Red Black Red Red Black Black Black Black
Black Black Black Red Red Gray Gray Gray Gray Red Red Black Black Black
Black Black Black Black Brown Brown Gray Gray Red Gray Black Black Black Black
Black Black Black Black Black Gray Brown Gray Black Black Black Black Brown Black
Black Black Black Black Gray Red Gray Black Black Black Black Red Gray Gray
Black Black Black Gray Gray Brown Red Black Black Black Black Black Red Black
Black Black Gray Gray Brown Red Red Black Black Black Black Gray Black Black
Black Black Black Brown Red Brown Black Black Black Black Gray Gray Red Black
Black Black Black Black Brown Black Black Black Black Black Black Gray 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 Black Black Black Black Gray Black Black Black Black Black Black Black
Black Black Black Black Black Gray Black Red Black Black Black Black Black Black
Black Black Black Black Black Black 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 Brown Black Black Black Black Black Black Black Black
Black Black Black Black Red Black Red Black Red Red Black Black Black Black
Black Black Black Red Black Black Black Gray Black Black Red Black Black Black
Black Black Black Black Brown Black Black Black Red Gray Black Black Black Black
Black Black Black Black Black Gray Black Gray Black Black Black Black Brown Black
Black Black Black Black Gray Black Gray Black Black Black Black Red Black Gray
Black Black Black Gray Black Black Red Black Black Black Black Black Red Black
Black Black Gray Black Black Black Red Black Black Black Black Gray Black Black
Black Black Black Brown Black Brown Black Black Black Black Gray Black Red Black
Black Black Black Black Brown Black Black Black Black Black Black Gray Black Black
```
assistant