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Fix mypy errors at bfs_shortest_path algo (#4572)
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@ -3,6 +3,8 @@ from a given source node to a target node in an unweighted graph.
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"""
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from __future__ import annotations
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from typing import Optional
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graph = {
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"A": ["B", "C", "E"],
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"B": ["A", "D", "E"],
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@ -15,17 +17,19 @@ graph = {
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class Graph:
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def __init__(self, graph: dict[str, str], source_vertex: str) -> None:
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"""Graph is implemented as dictionary of adjacency lists. Also,
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def __init__(self, graph: dict[str, list[str]], source_vertex: str) -> None:
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"""
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Graph is implemented as dictionary of adjacency lists. Also,
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Source vertex have to be defined upon initialization.
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"""
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self.graph = graph
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# mapping node to its parent in resulting breadth first tree
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self.parent = {}
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self.parent: dict[str, Optional[str]] = {}
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self.source_vertex = source_vertex
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def breath_first_search(self) -> None:
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"""This function is a helper for running breath first search on this graph.
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"""
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This function is a helper for running breath first search on this graph.
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>>> g = Graph(graph, "G")
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>>> g.breath_first_search()
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>>> g.parent
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@ -44,7 +48,8 @@ class Graph:
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queue.append(adjacent_vertex)
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def shortest_path(self, target_vertex: str) -> str:
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"""This shortest path function returns a string, describing the result:
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"""
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This shortest path function returns a string, describing the result:
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1.) No path is found. The string is a human readable message to indicate this.
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2.) The shortest path is found. The string is in the form
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`v1(->v2->v3->...->vn)`, where v1 is the source vertex and vn is the target
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@ -64,17 +69,16 @@ class Graph:
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'G'
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"""
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if target_vertex == self.source_vertex:
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return f"{self.source_vertex}"
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elif not self.parent.get(target_vertex):
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return self.source_vertex
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target_vertex_parent = self.parent.get(target_vertex)
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if target_vertex_parent is None:
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return f"No path from vertex:{self.source_vertex} to vertex:{target_vertex}"
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else:
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return self.shortest_path(self.parent[target_vertex]) + f"->{target_vertex}"
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return self.shortest_path(target_vertex_parent) + f"->{target_vertex}"
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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g = Graph(graph, "G")
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g.breath_first_search()
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print(g.shortest_path("D"))
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