U.S. Map but It's a Sudoku

Nothing is safe from sudoku, not even Great Ol' America. Every state including Washington DC must be filled with the numbers 1 through 12, however, states that border each other or states that are seperated by one state cannot contain the same digit.

Legend

Colored state borders:
Blue borders mean that the 2 bordering states differ by 1
Lime borders mean that the 2 bordering states differ by 2
Red borders mean that the 2 bordering states differ by 3
Magenta borders mean that the 2 bordering states are in a 1:2 or 2:1 ratio

Tripoints are the point where 3 state borders meet, but it also includes borders with the ocean/Canada/Mexico:
Red tripoints contain the product of the 3 surrounding states
Green tripoints contain the sum of the 1-3 surrounding states
Blue tripoints contain the median of the 2-3 surrounding states

States that are colored:
Yellow states are higher than all of their neighbors
Orange states are lower than all of their neighbors

Not all possible border colors and state colors are given, i.e. a state that is higher than all of their neighbors can be white; it doesn't necessarily have to be yellow.

To select a state, use the up and down keys or the clickable table under the map. The current selected state is denoted by a "?". Enter the correct number in the textbox with your keyboard.

The 4 corner states border each other. The 9 tripoint in Washington DC does not include Virginia and Maryland.

Get some paper, because you're going to do a lot of guess-and-checking. Good luck!

Hint: Start at Washington and reverse manifest destiny