Stormline Duel

1. 01

   Draw k is int(k, W), W = 299 being the sum of the symbol weights; the symbol is the one whose weight range the value falls in. Weights, in the order Brakka Tidewright, The Brine Regent, Tally, Storm harpoon, Ship’s wheel, Life ring, Rope knot, Sea-glass bottle, Scallop shell, Lantern anchor, Foghorn: 12, 16, 20, 24, 28, 40, 44, 48, 52, 8, 7.

2. 02

   The first 15 draws fill the grid column by column, top to bottom. A wild drawn on reel 1 or 5 becomes the last low symbol.

3. 03

   Each cascade refills the cleared cells with further draws: columns left to right, top to bottom.

4. 04

   The chain takes no draw: it is 1 on the first free spin, one more after each cascade that pays, to 25 at most, and half of itself (rounded down, at least 1) at the start of a free spin that follows one that paid nothing.

5. 05

   Free spins run the same way on the same stream; a bought feature has no spin before it, so its draws begin at k = 0 with its first free spin. The whole spin, feature included, is reproducible from one nonce.

float(k) and the rest of the notation are defined in the byte stream.

5 reels × 3 rows, 243 ways, left to right. Winning symbols clear and new ones fall in; in the base game each cascade in a spin climbs 1× → 2× → 3× → 4×. Wilds land on the three middle reels.

In the free spins, one multiplier replaces the ladder: the chain. It starts at 1× on the first free spin, and Brakka Tidewright hauls it up by 1× after each cascade that pays, to 25× at most. It carries from one free spin to the next, but a free spin that pays nothing lets the Brine Regent drag it back to half, rounded down and never below 1×, before the next free spin lands. A feature of 10 free spins ends at about 2.4× on average.

3, 4 or 5 scatters on the first drop of a spin award 10, 12 or 15 free spins; 3, 4 or 5 on a free spin add that many again, up to 60 free spins in all. The feature can be bought for 15.07× the bet with 10 free spins, for 18.34× with 12, or for 23.25× with 15. Each price is what those spins return on average, less the house's share: no tier is a better buy than another.

Bought, the three return 96.21%, 96.20% and 96.19%, as measured (each give or take 0.20 points at most); most buys return less than they cost.

When two scatters are in view, the reels still turning stop more slowly. That is decided only by the reels that have already stopped and happens every time two are in view, whether a third comes or not: it says nothing about what the turning reels will show.

One spin, feature included, pays at most 10,000× the bet: a spin that reaches it stops there and is paid exactly that.

The return printed here was measured, not derived: 96.16%, give or take 0.09 points, over 60 million spins. 35.9% of spins pay something; the free spins come about one spin in 211 and pay 7% of the return.