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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Black Red Red Red Black
Black Black Black Black Black Black Red Red Red Black Red Red Red Black
Black Black Black Black Black Black Red Red Red Red Red Red Red Black
Black Black Black Black Black Black Red Red Red Black 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


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 Green Black Black Black Black Black Black Green Black
Black Black Black Green Green Black Pink Pink Black Green Green Black
Black Black Black Brown Green Green Pink Pink Green Green Brown Black
Black Black Black Green Green Black Pink Pink Black Green Green Black
Black Black Black Green Black Black Black Black Black Black Green Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black 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 Yellow Yellow Black Blue Green Blue Purple Black
Black Black Black Pink Brown Purple Black Black Gray Purple Purple Black
Black Black Black Red Pink Orange Green Pink Red Purple Red Black
Black Black Black Red Orange Pink Green Pink Green Green Yellow Black
Black Black Black Orange Orange Red Pink Purple Purple Blue Black Black
Black Black Black Red Orange Pink Green Pink Green Green Yellow Black
Black Black Black Red Pink Orange Green Pink Red Purple Red Black
Black Black Black Pink Brown Purple Black Black Gray Purple Purple Black
Black Black Black Brown Yellow Yellow Black Blue Green Blue Purple 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
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Green Black Black Black Black Black Black Green Black
Black Black Black Green Green Black Green Green Black Green Green Black
Black Black Black Green Green Green Green Green Green Green Green Black
Black Black Black Green Green Black Green Green Black Green Green Black
Black Black Black Green Black Black Black Black Black Black Green Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black 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 Purple Purple Purple Purple Black
Black Black Black Purple Purple Purple Black Black Purple Purple Purple Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Purple Purple Purple Black Black Purple Purple Purple Black
Black Black Black Purple Purple Purple Black Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant