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Sep 23 at 7:49 vote accept Fabius Wiesner
Sep 13 at 19:54 comment added Fabius Wiesner I mean the second paragraph regarding the sharp lower bound.
Sep 13 at 11:53 comment added Fabius Wiesner Thank you. Could you elaborate how to get $2 \sqrt{m}$ from your second sentence? So far I got that $B_1' \cup A_1' = B_2' \cup A_1' = B_2' \cup A_2'$ implies $B_1' \setminus B_2' \subset A_1' \cap A_2'$, then $B_1' \setminus B_2' \subset A_1' \cap A_2' \cap B_1' = \emptyset$, then $B_1' \subseteq B_2'$. Then $B_2' \subseteq B_1'$ similarly.
Sep 13 at 7:57 history answered Ilya Bogdanov CC BY-SA 4.0