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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Red Red Red Red Red
Black Black Black Red Red Red Red Red Black Black Black Black Black Black Red Purple Purple Black Purple
Black Black Black Red Red Red Red Red Black Black Black Black Black Black Red Black Purple Purple Purple
Black Black Black Red Black Red Black Red Black Black Black Black Black Black Red Purple Purple Purple Black
Black Black Red Red Red Red Red Red Red Black Black Black Black Black Red Purple Black Purple Purple
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

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 Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Red Blue Blue Blue Red Black Black Black Black Black Black Red Red Red Red Red
Black Black Black Red Blue Blue Blue Red Black Black Black Black Black Black Red Blue Blue Black Purple
Black Black Black Red Blue Blue Blue Red Black Black Black Black Black Black Red Black Blue Blue Purple
Black Black Black Red Black Blue Black Red Black Black Black Black Black Black Red Blue Blue Purple Black
Black Black Red Red Red Red Red Red Red Black Black Black Black Black Red Blue Black Blue Purple
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


Example 2
Input:
Black Black Black Brown Red Black Black Black Black Black Black Black Black Black
Black Black Black Brown Red Black Red Red Red Red Red Red Red Red
Black Black Brown Brown Red Black Red Pink Pink Pink Pink Pink Pink Red
Black Black Black Brown Red Black Red Pink Pink Pink Pink Pink Black Red
Black Black Black Brown Red Black Red Pink Pink Pink Pink Pink Black Red
Black Black Brown Brown Red Black Red Pink Pink Pink Pink Pink Black Red
Brown Brown Brown Brown Red Black Red Pink Pink Pink Pink Pink Black Red
Black Black Brown Brown Red Black Red Pink Black Black Black Black Black Red
Red Red Red Red Red Black Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Black Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Red Black Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Red Black Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Red Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Black Black Black Black Black Black Black

Output:
Black Black Black Brown Red Black Black Black Black Black Black Black Black Black
Black Black Black Brown Red Black Red Red Red Red Red Red Red Red
Black Black Brown Blue Red Black Red Blue Blue Blue Blue Blue Blue Red
Black Black Black Brown Red Black Red Blue Blue Blue Blue Blue Black Red
Black Black Black Brown Red Black Red Blue Blue Blue Blue Blue Black Red
Black Black Brown Blue Red Black Red Blue Blue Blue Blue Blue Black Red
Brown Brown Blue Blue Red Black Red Blue Blue Blue Blue Blue Black Red
Black Black Brown Blue Red Black Red Blue Black Black Black Black Black Red
Red Red Blue Blue Red Black Red Red Red Red Red Red Red Red
Red Blue Blue Blue Blue Red Red Black Black Black Black Black Black Black
Gray Blue Blue Blue Blue Blue Red Black Black Black Black Black Black Black
Gray Blue Blue Blue Blue Blue Red Black Black Black Black Black Black Black
Gray Blue Blue Blue Blue Blue Red Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Black Black Black Black Black Black Black


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

Output:
Black Black Black Red Brown Brown Brown Brown Brown Brown Brown Red Black Black Black Black Black Black Black
Black Black Black Red Blue Black Black Blue Black Black Blue Red Black Black Black Black Black Black Black
Black Black Black Red Black Blue Blue Blue Blue Blue Black Red Black Black Black Black Black Black Black
Black Black Black Red Black Blue Blue Blue Blue Blue Black Red Black Black Black Black Black Black Black
Black Black Black Red Red Red Red Red Red Red Blue Blue Red Red Red Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Red Blue Blue Black Black Blue Blue Black Red
Black Black Black Black Black Black Black Black Black Black Red Blue Blue Blue Blue Blue Blue Black Red
Black Black Black Black Black Black Black Black Black Black Red Blue Blue Blue Blue Blue Blue Black Red
Black Black Black Black Black Black Black Black Black Black Red Blue Blue Blue Black Black Blue Blue Red
Black Black Black Black Black Black Black Black Black Black Red Blue Blue Black Black Black Blue Blue Red
Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Blue Red
Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red 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 Red Red Red Red Red Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Red Blue Blue Blue Blue Blue Blue Blue Red
Black Black Black Black Black Black Black Black Black Black Red Blue Blue Blue Black Blue Blue Blue Red
Black Black Black Black Black Black Black Black Black Black Red Black Blue Black Black Black Blue Black Red
Black Black Black Black Black Black Black Black Black Black Red Blue Blue Blue Black Blue Blue Blue Red
Black Black Black Black Black Black Black Black Black Black Red Orange Orange Orange Orange Orange Orange Orange Red


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 Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Black Purple Red Black Black Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple Red Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Red Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Red Black Black Black Black Black Black Black Black Black Black
Purple Black Purple Purple Purple Red Black Black Black Black Black Black Black Black Black Black
Red Red Red 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black
Purple Blue Blue Black Blue Red Black Black Black Black Black Black Black Black Black Black
Black Purple Blue Blue Blue Red Black Black Black Black Black Black Black Black Black Black
Purple Blue Blue Blue Blue Red Black Black Black Black Black Black Black Black Black Black
Purple Blue Blue Blue Black Red Black Black Black Black Black Black Black Black Black Black
Purple Black Blue Blue Blue Red Black Black Black Black Black Black Black Black Black Black
Red Red Red 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant