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.
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. q: Q* X$ A- `* S$ E- j( @tvb now,tvbnow,bttvbStarting 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. os.tvboxnow.com3 _: h. B3 X5 P! E4 u0 S
9 m& ^0 s' p% m, l7 ?% uNow #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* ~0 W7 E: P( t/ s# g
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#3 did the obvious choice 40 divided by 2 =20, so he picked 20公仔箱論壇, s% v5 V1 R& A0 V, g
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#4 base on knowing the median rule take 60 divided by 3 =20, so he picked 20 as well.
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" L! P$ N; x: Z3 k" V& L3 Ftvb now,tvbnow,bttvb#5 same as above, he takes 80 divided by 4 =20, picked 20 as well.tvb now,tvbnow,bttvb- A+ @1 c6 n1 ] h! I, r W8 d
H, ~2 L" u# k( ^os.tvboxnow.comEnded all have the same number and all died. |
發表於 2006-12-9 12:41 AM
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