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.tvb now,tvbnow,bttvb h3 Y9 V0 u, i& g7 u
1 ^ J8 Q; h( W2 `- @: s6 S' ~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。Starting 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.
! V0 [& Z! V0 R6 u2 x% A5.39.217.77公仔箱論壇! c+ I$ k3 V' X& l3 Z0 o1 v
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.
8 |" s/ G# G h+ N5.39.217.77公仔箱論壇! e. r2 c( I& X" D, e' V
#3 did the obvious choice 40 divided by 2 =20, so he picked 202 r4 s) A) t4 `# E% ?
6 Z" _6 O) Q& F, \( [: b' d7 S9 c# X: Atvb now,tvbnow,bttvb#4 base on knowing the median rule take 60 divided by 3 =20, so he picked 20 as well.
" p$ {7 a+ u, {. ^
9 G, q) ]; k: {5 f! v/ E5 @#5 same as above, he takes 80 divided by 4 =20, picked 20 as well.( b4 q6 R* i5 c7 _2 a+ ]
( o% P! d3 r$ u0 v, t0 J: ? Y
Ended all have the same number and all died. |