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dijkstra.py
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from math import inf
class Dijkstra:
def __init__(self, graph):
self.graph = graph
self.n_vertices = len(graph)
def print_distance(self, dist, target=None, show_print=None):
if target:
if show_print:
print("distance:", dist[target])
return dist[target]
if show_print:
print("Vertex \t Distance from Source")
for node in range(self.n_vertices):
print(node, "\t\t", dist[node])
def print_path(self, path, target):
queue = [target]
build_path = []
while True:
prev = queue.pop(0)
build_path.append(prev)
if path[prev] is None:
break
queue.append(path[prev])
build_path.reverse()
print("path:", " -> ".join([str(i) for i in build_path]))
def min_distance(self, dist, visited):
min = inf # Initialize minimum distance for next node
for v in range(self.n_vertices): # get nearest vertex not visited
if dist[v] < min and visited[v] is False:
min = dist[v]
min_index = v
return min_index
def dijkstra(self, src, target=None, show_print=None): # O(n2)
visited = [False] * self.n_vertices
dist = [inf] * self.n_vertices
dist[src] = 0
path_prev = {src: None}
for _ in range(self.n_vertices):
# Get the minimum distance vertex not visited yet.
# u is always equal to src in first iteration.
u = self.min_distance(dist, visited)
visited[u] = True
# Update distance value of the adjacent vertices
for v in range(self.n_vertices):
if (self.graph[u][v] > 0 and # Check if has edge
visited[v] is False and
dist[v] > dist[u] + self.graph[u][v]):
dist[v] = dist[u] + self.graph[u][v]
path_prev.update({v: u})
if show_print:
self.print_path(path_prev, target)
return self.print_distance(dist, target, show_print)