I don't know if there is an answer for this question, but I developed a smartphone application and my competitor do something that for me is not possibile.. so here's the question:
I have a bag and inside there are X objects.
Each object occupies a certain space in the bag.
I don't know how much space each object, but I know that the order in which they are inserted, it should be according to the space occupied.
the objects always take 100% of the space in the bag. For example if there are 4 objects, maybe the first take 43%, the second 25%, the third 20% and the last 12%
It is possible to know the percentage of occupied space of each object, knowing the number of objects in the bag?
thanks everybody
(if there is something that is not clear, tell me and I'll try to explain better)
Given this information, it's not possible. Let's say you have $n$ objects, then you would need at least $n-1$ constraints to have perfect information.