Sunbreak

1. 01

   Shell k (0 to 5) comes to rest at u32(k) / 2³² of a turn. The light passes iff u32(k) × den < num × 2³², with num / den = 3/4 wide, 1/2 half, 1/4 narrow: the opening spans that fraction of the ring from the beam line.

2. 02

   All six resting angles are fixed when the round starts and revealed when it ends, the shells never opened included.

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

A sun is sealed inside six shells. Before each shell spins, choose its opening: wide (three quarters of the ring), half, or narrow (a quarter). The opening is the chance: a wide one lets the light through three times in four.

The shell spins and stops. If its opening comes to rest across the beam, the light breaks through and the prize grows; if metal stops it, the round is lost.

After shells with openings p₁ … pₙ the multiplier is 0.97 / (p₁ × … × pₙ). Cash out after any shell; passing the sixth pays at once. Every mix of openings and every stopping point returns 97%.