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59 changes: 53 additions & 6 deletions graphs/dijkstra_2.py
Original file line number Diff line number Diff line change
@@ -1,14 +1,41 @@
def print_dist(dist, v):
"""
Print vertex distances.

Parameters:
dist (list): A list of distances.
v (int): The number of vertices.
Comment on lines 1 to +7
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Putting the type hints into the function signature allows mypy to check them in our tests. Please do not repeat them in the docstring below because readers will get confused if one is changed but the other is not.

Suggested change
def print_dist(dist, v):
"""
Print vertex distances.
Parameters:
dist (list): A list of distances.
v (int): The number of vertices.
def print_dist(dist: list[float], v: int):
"""
Print vertex distances.
Parameters:
dist: A list of distances.
v: The number of vertices.


Example:
>>> print_dist([0.0, 2.0, 3.0, float('inf')], 4)
Vertex Distance
0 0
1 2
2 3
3 INF
"""
print("\nVertex Distance")
for i in range(v):
if dist[i] != float("inf"):
print(i, "\t", int(dist[i]), end="\t")
print(i, int(dist[i]), end=" ")
else:
print(i, "\t", "INF", end="\t")
print(i, "INF", end=" ")
print()


def min_dist(mdist, vset, v):
"""
Find the vertex with the minimum distance.

Parameters:
mdist (list): A list of distances.
vset (list): A list of boolean values indicating visited vertices.
v (int): The number of vertices.
Comment on lines 26 to +33
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Suggested change
def min_dist(mdist, vset, v):
"""
Find the vertex with the minimum distance.
Parameters:
mdist (list): A list of distances.
vset (list): A list of boolean values indicating visited vertices.
v (int): The number of vertices.
def min_dist(mdist: list[float], vset: list[bool], v: int) -> int:
"""
Find the vertex with the minimum distance.
Parameters:
mdist: A list of distances.
vset: A list of boolean values indicating visited vertices.
v: The number of vertices.


Example:
>>> min_dist([0.0, 2.0, 3.0, float('inf')], [False, True, False, False], 4)
0
"""
min_val = float("inf")
min_ind = -1
for i in range(v):
Expand All @@ -19,6 +46,26 @@ def min_dist(mdist, vset, v):


def dijkstra(graph, v, src):
"""
Implement Dijkstra's algorithm to find the shortest path.

Parameters:
graph (list): The graph represented as an adjacency matrix.
v (int): The number of vertices.
src (int): The source vertex.
Comment on lines 48 to +55
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Suggested change
def dijkstra(graph, v, src):
"""
Implement Dijkstra's algorithm to find the shortest path.
Parameters:
graph (list): The graph represented as an adjacency matrix.
v (int): The number of vertices.
src (int): The source vertex.
def dijkstra(graph: list[list[float]], v: int, src: int) -> None:
"""
Implement Dijkstra's algorithm to find the shortest path.
Parameters:
graph: The graph is represented as an adjacency matrix.
v: The number of vertices.
src: The source vertex.


Example:
>>> graph = [[0.0, 2.0, float('inf'), 1.0],
... [2.0, 0.0, 4.0, float('inf')],
... [float('inf'), 4.0, 0.0, 3.0],
... [1.0, float('inf'), 3.0, 0.0]]
>>> dijkstra(graph, 4, 0)
Vertex Distance
0 0
1 2
2 3
3 1
"""
mdist = [float("inf") for _ in range(v)]
vset = [False for _ in range(v)]
mdist[src] = 0.0
Expand All @@ -35,12 +82,12 @@ def dijkstra(graph, v, src):
):
mdist[i] = mdist[u] + graph[u][i]

print_dist(mdist, i)
print_dist(mdist, v)


if __name__ == "__main__":
V = int(input("Enter number of vertices: ").strip())
E = int(input("Enter number of edges: ").strip())
V = int(input("Enter the number of vertices: ").strip())
E = int(input("Enter the number of edges: ").strip())

graph = [[float("inf") for i in range(V)] for j in range(V)]

Expand All @@ -54,5 +101,5 @@ def dijkstra(graph, v, src):
weight = float(input("Enter weight:").strip())
graph[src][dst] = weight

gsrc = int(input("\nEnter shortest path source:").strip())
gsrc = int(input("\nEnter the shortest path source:").strip())
dijkstra(graph, V, gsrc)