Return the column(s) indices with minimum value which is not zero.

Consider a matrix H = 1x30.
The data in those elements are numbers 0, 1, 2, ......, n
I wanna be able select the column(s) with the values from 1.
If H has a '0', then columns having '1' must be returned.
If H has a '0', and has no 1s, then columns having '2' must be returned.
If H has a '0', and has no 1s and 2s, then columns having '3' must be returned.... and so on.
It should be able to return all the columns with a minimum value in it, where the minimum value cannot be zero. But it is any available minimum value after 0.
How do i achieve this?

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