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Nothing in the argument required the arc to be a semicircle. If the arc has length xxx times the circumference (where x≤1/2x \leq 1/2x≤1/2), each anchor's event has probability xN−1x^{N-1}xN−1 instead of (1/2)N−1(1/2)^{N-1}(1/2)N−1. Mutual exclusivity still holds because the gap is at least 1−x≥1/21 - x \geq 1/21−x≥1/2 of the circumference, too large for any other anchor's arc to bridge:
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其实，我懂顺风车“共享互助”的初衷，但体谅是相互的。车主守规则，平台有监管、能兜底，乘客才能真的放心选，顺风车也才能不负“顺风”之名。