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 Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Brown Brown Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Brown Brown Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Brown 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

Output:
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown


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 Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black
Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black
Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black
Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black
Black Black Black Black Black Black Red Red Blue Blue Gray Gray Blue Blue Red Red Black Black
Black Black Black Black Black Black Red Red Blue Blue Gray Gray Blue Blue Red Red Black Black
Black Black Black Black Black Black Yellow Yellow Gray Gray Blue Blue Gray Gray Yellow Yellow Black Black
Black Black Black Black Black Black Yellow Yellow Gray Gray Blue Blue Gray Gray Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Purple Purple Blue Blue Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black 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:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Purple Purple
Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Purple Purple
Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple
Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple
Purple Purple Purple Purple Purple Purple Red Red Blue Blue Gray Gray Blue Blue Red Red Purple Purple
Purple Purple Purple Purple Purple Purple Red Red Blue Blue Gray Gray Blue Blue Red Red Purple Purple
Purple Purple Purple Purple Purple Purple Yellow Yellow Gray Gray Blue Blue Gray Gray Yellow Yellow Purple Purple
Purple Purple Purple Purple Purple Purple Yellow Yellow Gray Gray Blue Blue Gray Gray Yellow Yellow Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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 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 Pink Pink Pink Pink Pink Pink Black Black
Black Black Black Black Black Black Black Black Orange Orange Pink Pink Pink Pink Pink Pink Black Black
Black Black Black Black Black Black Purple Purple Orange Orange Black Black Brown Brown Pink Pink Black Black
Black Black Black Black Black Black Purple Purple Orange Orange Black Black Brown Brown Pink Pink Black Black
Black Black Black Black Black Black Purple Purple Yellow Yellow Black Black Red Red Red Red Black Black
Black Black Black Black Black Black Purple Purple Yellow Yellow Black Black Red Red Red Red Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Green Green Red Red Red Red Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Green Green Red Red Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black 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

Output:
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Orange Orange Pink Pink Pink Pink Pink Pink Red Red
Red Red Red Red Red Red Red Red Orange Orange Pink Pink Pink Pink Pink Pink Red Red
Red Red Red Red Red Red Purple Purple Orange Orange Red Red Brown Brown Pink Pink Red Red
Red Red Red Red Red Red Purple Purple Orange Orange Red Red Brown Brown Pink Pink Red Red
Red Red Red Red Red Red Purple Purple Yellow Yellow Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Purple Purple Yellow Yellow Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Purple Purple Purple Purple Green Green Red Red Red Red Red Red
Red Red Red Red Red Red Purple Purple Purple Purple Green Green Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red 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 Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Gray Gray Gray Gray Black Black Black Black
Black Black Black Black Yellow Yellow Gray Gray Gray Gray Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black 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:

```
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Yellow Yellow Gray Gray Gray Gray Blue Blue Blue Blue
Blue Blue Blue Blue Yellow Yellow Gray Gray Gray Gray Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
```
assistant