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[pre-commit.ci] auto fixes from pre-commit.com hooks
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@ -14,20 +14,29 @@ def print_distance_and_paths(distance: List[float], paths: List[List[int]], src:
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print(f"{vertex}\t\t{dist}\t\t\t\t{path_str}")
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def check_negative_cycle(graph: List[Edge], distance: List[float], predecessor: List[int]) -> bool:
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def check_negative_cycle(
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graph: List[Edge], distance: List[float], predecessor: List[int]
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) -> bool:
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"""
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Checks if there is a negative weight cycle reachable from the source vertex.
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If found, return True, indicating a negative cycle.
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"""
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for edge in graph:
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if distance[edge.src] != float("inf") and distance[edge.src] + edge.weight < distance[edge.dst]:
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if (
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distance[edge.src] != float("inf")
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and distance[edge.src] + edge.weight < distance[edge.dst]
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):
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# Update predecessors to indicate a cycle for affected paths
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predecessor[edge.dst] = -1 # Use -1 as a marker for negative cycle detection
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predecessor[
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edge.dst
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] = -1 # Use -1 as a marker for negative cycle detection
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return True
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return False
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def reconstruct_paths(predecessor: List[int], vertex_count: int, src: int) -> List[List[int]]:
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def reconstruct_paths(
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predecessor: List[int], vertex_count: int, src: int
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) -> List[List[int]]:
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"""
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Reconstructs the shortest paths from the source vertex to each vertex using the predecessor list.
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"""
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@ -47,7 +56,9 @@ def reconstruct_paths(predecessor: List[int], vertex_count: int, src: int) -> Li
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return paths
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def bellman_ford(graph: List[Edge], vertex_count: int, src: int) -> Tuple[List[float], List[List[int]]]:
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def bellman_ford(
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graph: List[Edge], vertex_count: int, src: int
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) -> Tuple[List[float], List[List[int]]]:
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"""
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Returns the shortest paths from a vertex src to all other vertices, including path reconstruction.
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"""
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@ -58,7 +69,10 @@ def bellman_ford(graph: List[Edge], vertex_count: int, src: int) -> Tuple[List[f
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# Step 1: Relax edges repeatedly
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for _ in range(vertex_count - 1):
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for edge in graph:
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if distance[edge.src] != float("inf") and distance[edge.src] + edge.weight < distance[edge.dst]:
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if (
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distance[edge.src] != float("inf")
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and distance[edge.src] + edge.weight < distance[edge.dst]
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):
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distance[edge.dst] = distance[edge.src] + edge.weight
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predecessor[edge.dst] = edge.src
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@ -75,6 +89,7 @@ def bellman_ford(graph: List[Edge], vertex_count: int, src: int) -> Tuple[List[f
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if __name__ == "__main__":
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# Example graph input for testing purposes
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import doctest
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doctest.testmod()
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try:
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@ -85,7 +100,9 @@ if __name__ == "__main__":
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for i in range(E):
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print(f"Edge {i + 1}")
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src, dest, weight = map(int, input("Enter source, destination, weight: ").strip().split())
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src, dest, weight = map(
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int, input("Enter source, destination, weight: ").strip().split()
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)
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if src < 0 or src >= V or dest < 0 or dest >= V:
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print(f"Invalid vertices: src and dest should be between 0 and {V - 1}")
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continue
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