This is an elementary problem which seems difficult, and I'm not sure whether it could be solved out. A higher mathematics overlook might be needed.

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    $\begingroup$ MO is not a part of the SE network (it uses the SE platform in an old version, on a private server) so migration per se is impossible (which is why I removed the tag). Cross-posting might be reasonable after waiting for a few days - let your bounty expire first. $\endgroup$ – Asaf Karagila Jun 20 '12 at 6:40
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    $\begingroup$ @AsafKaragila Another question is whether it is appropriate for MO. After the deadline of bounty, should I post a thread in meta.MO to ask whether it is appropriate? $\endgroup$ – Yai0Phah Jun 20 '12 at 7:06
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    $\begingroup$ If you are uncertain of this a thread on meta.MO is a reasonable approach. For this you do not need to wait for the bounty period to end, though. $\endgroup$ – Asaf Karagila Jun 20 '12 at 7:10
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    $\begingroup$ @AsafKaragila Thanks. I'm uncertain because it's an elementary problem, and the FAQ on MO says that too elementary problems are not welcomed. $\endgroup$ – Yai0Phah Jun 20 '12 at 7:12

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