Editing Openai/6939b23e-87cc-8001-bdd9-9546d1143ce9 (section)

=== Now the Mathematician examines the remaining warriors’ strengths and sums them: ===
* Start with A: cumulative = 0.50
* Add B: cumulative = 0.80
* Add C: cumulative = 0.90

Now he applies the rule:

“Only keep enough warriors so their combined strength ≥ p.”

Example: top-p = 0.80

He stops at 0.80, which happens exactly after warrior B.

So he keeps:
* A (0.50)
* B (0.30)

He excludes C (0.10), even though C was inside top-k’s selection.

Effect:
Top-p eliminates warriors whose combined strength is not needed to reach the threshold.

And again:
A is only 50% of the total strength — not 100% — so the King still has a choice.