Task Scheduler II

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(This question has been seen in the interviews of the following companies: Facebook)

[Facebook Onsite Question] Task Scheduler II

Given an array of numbers [1, 2, 3, 1, 4, 2, ..... ]. (Notice there could be duplicate) Also given an integer N, which means two same numbers must be N space away. 
You are going to write a program to find out a way to padding zeros to these numbers with the minimum total length...

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