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 Brown Black Black Brown Black Brown Black Black Black Black Black Black Black Black
Black Black Black Black Brown Black Black Red Black Black Red Black Red Black Black Brown Black Black Black Black Black
Black Black Black Black Black Red Black Green Black Black Green Black Green Black Red Black Black Black Black Black Black
Black Black Brown Black Black Green Black Black Blue Black Blue Blue Black Black Green Black Black Brown Black Black Black
Black Black Black Red Green Black Blue Gray Gray Black Gray Gray Gray Blue Black Green Red Black Black Black Black
Black Black Black Black Black Blue Black Brown Brown Black Brown Brown Brown Black Blue Black Black Black Black Black Black
Black Brown Red Green Black Gray Brown Black Red Red Red Red Black Brown Gray Black Green Red Brown Black Black
Black Black Black Black Blue Gray Brown Red Green Green Green Green Red Brown Gray Blue Black Black Black Black Black
Black Brown Red Green Blue Gray Black Red Green Blue Blue Green Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Red Green Blue Blue Green Red Red Brown Gray Blue Green Red Brown Black
Black Black Black Black Blue Gray Brown Red Green Green Green Green Red Brown Gray Blue Black Black Black Black Black
Black Brown Red Green Black Gray Brown Black Red Red Red Red Black Brown Gray Black Green Red Brown Black Black
Black Black Black Black Black Blue Black Brown Brown Black Red Brown Brown Black Blue Black Black Black Black Black Black
Black Black Black Red Green Black Blue Gray Gray Black Brown Gray Gray Blue Black Green Red Black Black Black Black
Black Black Brown Black Black Green Black Black Blue Black Gray Blue Black Black Green Black Black Brown Black Black Black
Black Black Black Black Black Red Black Green Black Black Blue Black Green Black Red Black Black Black Black Black Black
Black Black Black Black Brown Black Black Red Black Black Green Black Red Black Black Brown Black Black Black Black Black
Black Black Black Black Black Black Black Brown Black Black Red Black Brown 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 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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black
Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black
Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black
Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black
Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black
Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black
Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Red
Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black
Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black
Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black
Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black
Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black
Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Brown Brown Brown Red Red Red Brown Brown 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


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

Output:
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black
Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black
Yellow Black Black Black Black 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 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 Black Black Black Black Black Blue Black
Yellow Black Black Black Black 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 Black Black Black Yellow Black
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black
Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black
Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Black Black Black 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


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 Yellow Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Black Black Purple Black Black Purple Black Purple Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Purple Black Brown Black Black Brown Black Brown Black Purple Black Black Black Black Black Black
Black Black Yellow Black Black Brown Black Black Red Black Red Red Black Black Brown Black Black Yellow Black Black Black
Black Black Black Purple Brown Black Red Pink Pink Black Pink Pink Pink Red Black Brown Purple Black Black Black Black
Black Black Black Black Black Red Black Yellow Yellow Black Yellow Yellow Yellow Black Red Black Black Black Black Black Black
Black Yellow Purple Brown Black Pink Yellow Black Purple Purple Purple Purple Black Yellow Pink Black Brown Purple Yellow Black Black
Black Black Black Black Red Pink Yellow Purple Brown Brown Brown Brown Purple Yellow Pink Red Black Black Black Black Black
Black Yellow Purple Brown Red Pink Black Purple Brown Red Red Brown Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Purple Brown Red Red Brown Purple Purple Yellow Pink Red Brown Purple Yellow Black
Black Black Black Black Red Pink Yellow Purple Brown Brown Brown Brown Purple Yellow Pink Red Black Black Black Black Black
Black Yellow Purple Brown Black Pink Yellow Black Purple Purple Purple Purple Black Yellow Pink Black Brown Purple Yellow Black Black
Black Black Black Black Black Red Black Yellow Yellow Black Purple Yellow Yellow Black Red Black Black Black Black Black Black
Black Black Black Purple Brown Black Red Pink Pink Black Yellow Pink Pink Red Black Brown Purple Black Black Black Black
Black Black Yellow Black Black Brown Black Black Red Black Pink Red Black Black Brown Black Black Yellow Black Black Black
Black Black Black Black Black Purple Black Brown Black Black Red Black Brown Black Purple Black Black Black Black Black Black
Black Black Black Black Yellow Black Black Purple Black Black Brown Black Purple Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Black Black Purple Black Yellow Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black
Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Purple
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black
Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black
Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Black Black Black 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


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 Purple Black Black Purple Black Purple Black Black Black Black Black Black Black Black
Black Black Black Black Purple Black Black Red Black Black Red Black Red Black Black Purple Black Black Black Black Black
Black Black Black Black Black Red Black Blue Black Black Blue Black Blue Black Red Black Black Black Black Black Black
Black Black Purple Black Black Blue Black Black Green Black Green Green Black Black Blue Black Black Purple Black Black Black
Black Black Black Red Blue Black Green Yellow Yellow Black Yellow Yellow Yellow Green Black Blue Red Black Black Black Black
Black Black Black Black Black Green Black Purple Purple Black Purple Purple Purple Black Green Black Black Black Black Black Black
Black Purple Red Blue Black Yellow Purple Black Red Red Red Red Black Purple Yellow Black Blue Red Purple Black Black
Black Black Black Black Green Yellow Purple Red Blue Blue Blue Blue Red Purple Yellow Green Black Black Black Black Black
Black Purple Red Blue Green Yellow Black Red Blue Green Green Blue Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Red Blue Green Green Blue Red Red Purple Yellow Green Blue Red Purple Black
Black Black Black Black Green Yellow Purple Red Blue Blue Blue Blue Red Purple Yellow Green Black Black Black Black Black
Black Purple Red Blue Black Yellow Purple Black Red Red Red Red Black Purple Yellow Black Blue Red Purple Black Black
Black Black Black Black Black Green Black Purple Purple Black Red Purple Purple Black Green Black Black Black Black Black Black
Black Black Black Red Blue Black Green Yellow Yellow Black Purple Yellow Yellow Green Black Blue Red Black Black Black Black
Black Black Purple Black Black Blue Black Black Green Black Yellow Green Black Black Blue Black Black Purple Black Black Black
Black Black Black Black Black Red Black Blue Black Black Green Black Blue Black Red Black Black Black Black Black Black
Black Black Black Black Purple Black Black Red Black Black Blue Black Red Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Red Black Purple 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 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple 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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black
Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Red
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black
Purple Black Black Black Black Black Black 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 Purple Purple Black
Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black
Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple 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 Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Red Red Red Purple Purple 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
```
assistant