(Solved): A mother has children of varying ages in need of t-shirts. The mother has to distribute ...

A mother has children of varying ages in need of t-shirts. The mother has to distribute t-shirts with the following requirements:

Each child should get at least one t-shirt.
A child with an age higher than adjacent children should get more t-shirts than them.
How should the mother distribute such that total number of t-shirts is minimized?