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。7 e5 Y ]6 J, d+ ]
3 z9 J- o, }6 u" [" M' J, x% I- I$ QTVBNOW 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. 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。 W1 ^4 O6 B5 c' \
: w+ D8 `; c; V4 p, N. ~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.tvb now,tvbnow,bttvb8 A' `! t. r1 i+ i! C+ O* W }
9 _2 C0 Z3 J3 t+ q4 iTVBNOW 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 did the obvious choice 40 divided by 2 =20, so he picked 20tvb now,tvbnow,bttvb) e7 l( Y; r+ q! R: V" m
5 y. x1 y& ]$ A0 a9 g8 d#4 base on knowing the median rule take 60 divided by 3 =20, so he picked 20 as well.公仔箱論壇$ K. ]% Y+ c9 T) o: p9 v
+ n q: I9 `: O. s4 u4 g+ i/ ftvb now,tvbnow,bttvb#5 same as above, he takes 80 divided by 4 =20, picked 20 as well.
& w: z/ ]' w/ C4 Otvb now,tvbnow,bttvbTVBNOW 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。# r2 M2 |3 i3 X& d; W
Ended all have the same number and all died. |
發表於 2006-12-9 12:41 AM
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