Remove duplicate paths about mrnet HOT 2 OPEN

I know we probably want to be clever here, and I think that Daniel is working on a strategy for catching duplicate paths from kMC that would work, but after spending some time digging through paths the past couple of days, there is something pretty obvious that should work - just prune paths with identical costs. For example:

0 3.4620678646635246894
1 3.4620678646635246894
2 3.4736261363211290221
3 3.75510952395117456
4 3.7861278042505688611
5 3.7861278042505688611
6 4.2238517847547954525
7 4.3857509970409720313
8 4.3857509970409720313
9 4.477374250818638558
10 4.477374250818638558

paths 0 and 1 are duplicates, paths 4 and 5 are duplicates, paths 7 and 8 are duplicates, paths 9 and 10 are duplicates.

from mrnet.

Here is how i solve this: I have a integer index for each reaction. A pathway is then a list of indices which you can convert into a frozen set. frozen sets are hashable, so you can easily detect duplicates and count how many times each pathway happens

I think i like Sam's solution better for path finding though

from mrnet.