def run(G: Graph) -> Result:
memory: int = 0
k: int = 0
W: float = 0.0
path: List[Edge] = []
vertices: List[int] = G.vertices()
memory += sizeof(vertices)
i: int = randrange(len(vertices))
start: int = vertices[i]
del vertices[i]
u: int = start
while len(vertices) > 0:
i = randrange(len(vertices))
v: int = vertices[i]
del vertices[i]
e = G.get_edge(u, v)
path.append(e)
W += e.w
k += 1
u = v
e = G.get_edge(u, start)
path.append(e)
W += e.w
k += 1
return Result(k, W, memory, path=path)
def run(G: Graph) -> Result:
memory: int = 0
k: int = 0
W: float = 0.0
path: List[Edge] = []
vertices: List[int] = G.vertices()
memory += sizeof(vertices)
i: int = randrange(len(vertices))
start: int = vertices[i]
del vertices[i]
G.order_edges()
u: int = start
while len(vertices) > 0:
next_e: Optional[Edge] = next(
(e for e in G.get_incident_edges(u) if e.snd in vertices),
None)
if next_e is None:
raise Exception('None')
v: int = next_e.snd
vertices.remove(v)
e = G.get_edge(u, v)
path.append(e)
W += e.w
k += 1
u = v
e = G.get_edge(u, start)
path.append(e)
W += e.w
k += 1
return Result(k, W, memory, path=path)
def run(G: Graph) -> Result:
c: Counter = Counter()
mst, _ = prim(G, 1)
tree = Graph(G.N, directed=False)
tree.add_edges(mst)
visited: List[bool] = [False for _ in range(G.N + 1)]
walk: List[int] = []
def DFS(u: int):
visited[u] = True
walk.append(u)
c.inc()
for e in tree.get_incident_edges(u):
v = e.snd
if not visited[v]:
DFS(v)
DFS(1)
path: List[Edge] = []
w: float = 0.0
first: int = walk[0]
u: int = first
walk.append(first)
for v in walk[1:]:
c.inc()
e = G.get_edge(u, v)
path.append(e)
w += e.w
u = v
memory: int = 0
memory += sizeof(mst)
memory += sizeof(tree)
memory += sizeof(visited)
memory += sizeof(walk)
return Result(c.get(), w, memory, path=path)