nightrider

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" v1 v9 [$ v/ [# y4 ?1 b

* S  e0 K: s+ d8 ]) Q$ uTVBNOW 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.  
, f. i3 j! ^' w. n) |1 ]公仔箱論壇2 x4 a+ h8 Q1 ^6 ~- H. n, i
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.
; n' d, x1 l" \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。tvboxnow.com6 ?, n1 W8 K: k: l+ _, d
#3 did the obvious choice 40 divided by 2 =20, so he picked 20
" q1 s. }2 c4 Z8 ATVBNOW 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。tvb now,tvbnow,bttvb" p4 a8 Q: E, a  Q- t( D/ g
#4 base on knowing the median rule take 60 divided by 3 =20, so he picked 20 as well.- ^) p4 i7 i& T1 E4 ?7 [9 }
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。: d8 r, S. _3 s- ]1 F3 W
#5 same as above, he takes 80 divided by 4 =20, picked 20 as well.tvb now,tvbnow,bttvb! q0 X) U. ?7 B7 L/ j2 G
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 ]4 P: L3 a" ?
Ended all have the same number and all died.