when a bird lands on a wire it tends to stay there for as long as it is not too crowded. this wire cannot hold any more than 32 birds. if two birds land on a wire and six birds fly away because it got too crowded, how many birds were initially on this wire? keep in mind that there is a tendency for birds to fly away in groups if one bird flies away there always seem to be at least one other bird which flies away with them. in fact, the number of birds which fly away is always one third the number of birds which were on the wire immediately after the new birds arrive. can we get a more efficient upper bound of the number of birds this wire can hold?
