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

Output:
Black Black Black Black Gray Gray Black Black Black Black Black Black Black
Black Black Black Black Black Gray Red Black Black Black Black Black Black
Black Red Red Black Black Gray Red Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black
Gray Black Black Gray Pink Gray Black Black Gray Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black
Black Black Red Gray Black Black Red Red Black Black Black Black Black
Black Black Red Gray Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black
Black Black Black Black Black Gray Red Black Black Black Black Black Black
Black Red Red Black Black Gray Red Black Black Black Black Black Black


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