Contestant Vote Total

I made some formulas to get the sum of votes for all rounds, for any competition that includes contestant voting.

Rules

It doesn't matter whether it's vote to save or eliminate.

There will be no eliminated or new players debuting, to not overcomplicate the math.

For an n-tuple elimination, there will always be a bottom n + 1.

The show itself doesn't matter (paid TV show, object show, etc.)

Formulas (for only safe players being allowed to vote)

For safe players voting, votes for the final 2 don't count.

For single eliminations, we start at n players. Then we go over the rounds until there's 2 finalists.

For double eliminations, we start at n players. For an even number n, we eliminate until there's 2 left. For an odd number n, we eliminate until there's 3 left, then the final round is a single elimination.

Single elim: 0.5(n - 1)(n - 2)

Double elim: ceil((0.5n - 1)²)

Formulas (for only eliminated players being allowed to vote)

Similar rules as above, but the votes for the final 2 do count, and the first round starts as an auto-elimination.

Single elim: (same formula)

Double elim: floor(0.25n² - 0.5n^mod(n + 1, 2))

Formulas (for ALL people except the ones UFE voting)

Simply eliminate until there's 2 or 3 left. Eliminate one for a final 2. Votes for the final 2 count, no auto eliminations.

Single elim: (n - 1)(n - 2)

Double elim: 0.5(n - mod(n + 1, 2))(n - 2) + 0.5 * mod(n, 2)