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.
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# f& }6 P! ^% y9 |9 `5.39.217.77Starting 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.  公仔箱論壇0 F8 k3 O9 H% g- R! R4 @, D. m
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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.
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' |$ N/ g% O  B) |5.39.217.77#3 did the obvious choice 40 divided by 2 =20, so he picked 20
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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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$ }+ x* M3 N0 Q: `* E3 {6 y$ f4 @: g5.39.217.77#5 same as above, he takes 80 divided by 4 =20, picked 20 as well.5.39.217.77+ c+ `/ v; `9 l

3 a3 M% t8 v1 j7 [Ended all have the same number and all died.