A gate everyone passes asks no question

SLOP2875 · Week 7

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Twice a run, a boss with a clock on it

Kill it inside 26 s or the run ends.

The boss exists to ask one question: did you pick up enough on the way here?

The claim

A gate only asks its question if a player who did nothing fails it.

Whether they fail is arithmetic.

You can do the arithmetic before anyone fights the boss.

The multiplication

The opening weapon: 17 damage every 0.85 s.

That is 20 damage a second.

Over a 26 s window, 520 hp.

Any boss under 520 hp is no gate

The first boss shipped with 200 hp

Players who declined every card walked through it.

11 runs out of 15.

It looked like a gate and asked nothing.

What it asks now

Upgrades held on arrivalBoss health
one or two884 hp
three680 hp
four510 hp
six340 hp

The starting weapon counts as one. The line crosses 520 hp at four.

The gate’s question, in plain words

“Have you picked up at least three cards in the first 40 s?”

Measured over 51 runs

The 100 ms player, choosing normally, arrives holding a median of 7 upgrades, the starting weapon included. 47 runs are alive after the window closes.

Declining every card: 0 out of 51.

Upgrades banked, not level reached

A player who refuses every card still levels up.

The first version handed that player a weaker boss for it.

Thursday

The health a third boss would need at 110 s to stop a player holding fewer than ten upgrades.

With the multiplication shown.

Week 7, in full

The page for this week has the numbers and where they came from.

The whole semester