You have to specify virtual inheritance when inheriting from any of A, B, C, and E classes (that are at the top of a diamond).
I toyed a program together which could help you to study the intricacies of virtual bases. It prints the class hierarchy under I as a digraph suitable for graphiviz ( http://www.graphviz.org/ ). There's a counter for each instance which helps you to understand the construction order as well.
Here's the programm.
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