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:
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 Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple 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 Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple 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

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


Example 2
Input:
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black

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


Example 3
Input:
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black
Pink Pink Red Red Purple Purple Red Red Black Black Pink Pink Red Red Purple Purple Red Red Black Black
Pink Pink Red Red Purple Purple Red Red Black Black Pink Pink Red Red Purple Purple Red Red Black Black
Pink Pink Purple Purple Green Green Purple Purple Pink Pink Pink Pink Purple Purple Green Green Purple Purple Pink Pink
Pink Pink Purple Purple Green Green Purple Purple Pink Pink Pink Pink Purple Purple Green Green Purple Purple Pink Pink
Black Black Red Red Purple Purple Red Red Pink Pink Black Black Black Black Purple Purple Red Red Pink Pink
Black Black Red Red Purple Purple Red Red Pink Pink Black Black Black Black Purple Purple Red Red Pink Pink
Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black
Pink Pink Red Red Purple Purple Red Red Black Black Pink Pink Red Red Purple Purple Red Red Black Black
Pink Pink Red Red Purple Purple Red Red Black Black Pink Pink Red Red Purple Purple Red Red Black Black
Pink Pink Purple Purple Green Green Purple Purple Pink Pink Pink Pink Purple Purple Green Green Purple Purple Pink Pink
Pink Pink Purple Purple Green Green Purple Purple Pink Pink Pink Pink Purple Purple Green Green Purple Purple Pink Pink
Black Black Red Red Purple Purple Red Red Pink Pink Black Black Red Red Purple Purple Red Red Pink Pink
Black Black Red Red Purple Purple Red Red Pink Pink Black Black Red Red Purple Purple Red Red Pink Pink
Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black

Output:
Red Red
Red Red
Pink Pink
Pink Pink


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