Make shortest_path run in O(E log V) instead of O(E^2) #1
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The current implementation of shortest_path (Dijkstra's algorithm) runs in O(E^2) in worst case because
q
may contain O(E) elements (we add an element for each edge), andbisect.insort
runs in O(E) in worst case (when the element to insert is not in the end). This pull request fixes the problem, because bothheapq.heappop
andheapq.heappush
work in O(log(len(q))) = O(log E) = O(log V).