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 Red Black Black Black Purple Black Black Black Black
Red Red Red Red Black Purple Purple Purple Black Black Black
Red Red Black Red Black Black Black Black Black Black Black
Red Black Red Red Black Black Black Black Black Black Black
Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Yellow Yellow Black
Black Black Black Black Black Gray Black Black Gray Yellow Yellow
Black Black Black Black Black Black Gray Black Yellow Yellow Yellow
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

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


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 Black Black Black
Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple 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 Black Black Purple Black Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Black Black Black Brown Yellow Brown Black Brown Black Black Black Black Black Black
Orange Black Black Black Yellow Black Brown Brown Black Black Black Black Black Black Black
Orange Orange Orange Black Yellow Brown Brown Black Brown Black Black Black Black Black Black
Orange Orange Black Yellow Black Yellow Brown Brown Brown Black Black Black Black Black Black
Black Orange Black Yellow 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

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 Black Black Black
Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple 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 Black Black Purple Black Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Black Black Black Brown Yellow Brown Black Brown Black Black Black Black Black Black
Orange Black Black Black Yellow Black Brown Brown Black Black Black Black Black Black Black
Orange Orange Orange Black Yellow Brown Blue Black Brown Black Black Black Black Black Black
Orange Orange Black Yellow Black Yellow Brown Brown Brown Black Black Black Black Black Black
Black Orange Black Yellow 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


Example 3
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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Black Brown Brown Black Brown Brown 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 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 Brown Black Brown 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 Blue Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Blue Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Blue Blue Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Blue Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Black Brown Brown Black Brown Brown 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 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 Brown Black Brown 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 Blue Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Blue Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Blue Blue Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black


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