convert Date to time in millisecond in c++?

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I have a requirement where I have to convert given string in date time format to milliseconds from epoch. In Javascript there is date to time conversion api but in c++ I couldn't find anything as such.

Input would look like '2016-Mar-15 09:23:58.665068'

output should be in milliseconds say 14520000785.

I have tried looking into boost but still couldn't find(or understand) how to do? Also, going through google I find the other way round i.e. converting milliseconds to date format but not what I require nor any helpful post for same.

Any help will be much appreciated.

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