Question
Even only 52 cards, the permutationIndex
where I describe in Explanations section, would be a huge number; it is
I am also struggling to see the whole picture here, but you could convert each permutation to base(52) with a single character representing each card and have a string representing each permutation.
So Spades could be 1-9 (ace - 9)
, 0ABC (10, J Q K)
, then DEFG
... starting the hearts and so on.
So a deck of 3 cards, 2 Spade (2), 3 Heart (F) and 2 Diamond (say e), would have these permutation numbers:
2Fe
2eF
F2e
Fe2
eF2
e2F
You could convert these back and forth to a int/long/bigint by doing base 52 to base 10 conversions.
Here's an introduction to converting between bases.
So e2F would be F + 2*52 + e * 52^2
which would be 16 + 2*52 + 43*52*52 = 116392
So 116392 would be your permutation number.
(btw. I'm guessing about it 2 diamond being 'e' and 43, you can count it up and see exact what it would be)