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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第十七条 经登记的选民名单应当在选举日的二十日前公布;采取每户派代表或者居民代表选举方式的,应当同时公布户的代表或者新一届居民代表名单。,这一点在体育直播中也有详细论述
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