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.6 v- M4 e* z- @& F
tvb now,tvbnow,bttvb, E& [. _ Q3 X, W6 \/ l
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. 5.39.217.76' L) O6 p/ `. g/ ]8 T7 R6 t2 ^
tvb now,tvbnow,bttvb& h: n, b M7 ~5 y* e. H4 {
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.( H; J- W. B6 [4 w" l
4 n' s3 m! R. _2 f公仔箱論壇#3 did the obvious choice 40 divided by 2 =20, so he picked 20TVBNOW 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。 g7 n0 y- c9 c; ^' I5 n- y
1 s3 ]* b; `% R: O/ D( [#4 base on knowing the median rule take 60 divided by 3 =20, so he picked 20 as well.. S& S5 e; l- E
9 W% }! X7 Y- |- C+ V! \: G/ U7 \3 {tvb now,tvbnow,bttvb#5 same as above, he takes 80 divided by 4 =20, picked 20 as well.
9 w: K4 I3 J8 J8 z% A2 v% e8 k8 Ytvb now,tvbnow,bttvb
' `5 q" I) N1 X) c/ C; d$ F" VEnded all have the same number and all died. |