diff options
author | William Carroll <wpcarro@gmail.com> | 2020-01-29T14·43+0000 |
---|---|---|
committer | William Carroll <wpcarro@gmail.com> | 2020-01-29T14·43+0000 |
commit | 5c9079a41059e077f2b71b68eb83ff9fcb2e38d1 (patch) | |
tree | dce7e3566b04213228fb3c92fc593ca18841d972 /data_structures_and_algorithms/dijkstra-shortest-path.py | |
parent | fb9380ba268b3cd27372acadb87b14cc96163374 (diff) |
Splice ./universe directory into ./
Manually merging: - README.md: I added the description from universe/README.md into the heading of dotfiles/README.md. - .envrc: dotfiles/.envrc was a superset of universe/.envrc - .gitignore: Adding some of the ignored patterns from universe/.gitignore to dotfiles/.gitignore Everything else here should be a simple rename.
Diffstat (limited to 'data_structures_and_algorithms/dijkstra-shortest-path.py')
-rw-r--r-- | data_structures_and_algorithms/dijkstra-shortest-path.py | 48 |
1 files changed, 48 insertions, 0 deletions
diff --git a/data_structures_and_algorithms/dijkstra-shortest-path.py b/data_structures_and_algorithms/dijkstra-shortest-path.py new file mode 100644 index 000000000000..03907f604044 --- /dev/null +++ b/data_structures_and_algorithms/dijkstra-shortest-path.py @@ -0,0 +1,48 @@ +from collections import deque +from heapq import heappush, heappop +from fixtures import weighted_graph + + +def put(t, x, xs): + if t == 'stack': + return xs.append(x) + if t == 'queue': + return xs.append(x) + if t == 'priority': + return heappush(xs, x) + + +def pop(t, xs): + if t == 'stack': + return xs.pop() + if t == 'queue': + return xs.popleft() + if t == 'priority': + return heappop(xs) + + +# shortest_path :: Vertex -> Vertex -> Graph -> [Vertex] +def shortest_path(a, b, g): + """Returns the shortest path from vertex a to vertex b in graph g.""" + t = 'priority' + xs = [] + seen = set() + # Map(Weight, [Vertex]) + m = {} + + put(t, (0, [a], a), xs) + + while xs: + w0, path, v = pop(t, xs) + + seen.add(v) + if v == b: + m[w0] = path + for w1, x in g.get(v): + if x not in seen: + put(t, (w0 + w1, path + [x], x), xs) + + return m + + +print(shortest_path('a', 'f', graph_a)) |