The best chance is #3 because all he needs is take #1 + #2 divide by 2. e.g. #1+#2=28 then he take 14. This is the best chance to avoid being highest or lowest and worst case scenario is he equals #1 & #2. However because all 5 knows this simple theory so I think they all died because they all ended up picking the same number of beans.TVBNOW 含有熱門話題，最新最快電視，軟體，遊戲，電影，動漫及日常生活及興趣交流等資訊。& b9 m" V- Z- Q# i; Q
% C% \, G: o! n3 m3 e0 mStarting from #1, he knows he cannot pick anything bigger then 49 because if he did, then #2 only have to leave 3 beans for #3 #4 & #5 then he'll live. e.g. #1 picked 53 then #2 picks 100-53-3=44. then A,C,D,E all died. e.g. #1=53, #2=(100-53-3)=44, #3=1, #4=1, #5=1. The best chance for #1 is to pick anything less then or equal the median 20 (100 divided by 5). In fact anything between 3-20 won't change the result. Let's say #1 pick 20. TVBNOW 含有熱門話題，最新最快電視，軟體，遊戲，電影，動漫及日常生活及興趣交流等資訊。! C* t0 M, [* e. W0 P
" z3 {+ e% m$ b: D0 {Now #2 knows whatever he picks, #3 will take the median between him & #1 e.g. now #1 picked 20, if he pick 6 then #3 will pick 13 putting him either being the lowest or highest. He cannot allow that so the best chance is to match #1, so he picked 20 as well.公仔箱論壇$ O4 G: L" |7 w! U
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#3 did the obvious choice 40 divided by 2 =20, so he picked 20' i7 e4 {8 h: b" [4 z/ y7 n
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#4 base on knowing the median rule take 60 divided by 3 =20, so he picked 20 as well.
9 E% Y: a1 E2 G& _公仔箱論壇TVBNOW 含有熱門話題，最新最快電視，軟體，遊戲，電影，動漫及日常生活及興趣交流等資訊。, A! F( r: j, a& v0 U- K- Y" o
#5 same as above, he takes 80 divided by 4 =20, picked 20 as well.TVBNOW 含有熱門話題，最新最快電視，軟體，遊戲，電影，動漫及日常生活及興趣交流等資訊。3 {9 { }) o9 t8 ]
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Ended all have the same number and all died. |
發表於 2006-12-9 12:41 AM
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