It'sholiday.Mashmokhandhisboss,Bimokh,areplayingagameinventedbyMashmokh.InthisgameMashmokhwritessequenceof n distinctintegersontheboard.ThenBimokhmakesseveral(possiblyzero)moves.Onthefirstmoveheremovesthefirstandthesecondintegerfromfromtheboard,onthesecondmoveheremovesthefirstandthesecondintegeroftheremainingsequencefromtheboard,andsoon.Bimokhstopswhentheboardcontainslessthantwonumbers...
BimokhisMashmokh'sboss.Forthefollowing n dayshedecidedtopaytohisworkersinanewway.Atthebeginningofeachdayhewillgiveeachworkeracertainamountoftokens.Thenattheendofeachdayeachworkercangivesomeofhistokensbacktogetacertainamountofmoney.Theworkercansavetherestoftokensbuthecan'tuseitinanyotherdaytogetmoremoney.Ifaworkergivesback w tokensthenhe'llget dollars.Mashmokhlikesthetokenshoweverhel...
Mashmokhworksinafactory.Attheendofeachdayhemustturnoffallofthelights.Thelightsonthefactoryareindexedfrom 1 to n.Thereare n buttonsinMashmokh'sroomindexedfrom 1 to n aswell.IfMashmokhpushesbuttonwithindex i,theneachlightwithindexnotlessthani thatisstillturnedonturnsoff.Mashmokhisnotveryclever.Soinsteadofpushingthefirstbuttonhepushessomeofthebuttonsrandomlyeachnight.Hepushed m ...
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