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Algorithm or Data Structure Problem
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Algorithm or Data Structure Problem

HardPython

Problem

Write a function to solve a specific algorithm or data structure problem.

Implement find_shortest_paths(n, edges, source) for a directed weighted graph. Return the shortest distance from source to every vertex, using None for unreachable vertices; return None if a negative-weight cycle is reachable from source. edges contains [from_vertex, to_vertex, weight] records, and the result is a list indexed by vertex.

Constraints

  • 1 <= n <= 1000
  • 0 <= len(edges) <= 10000
  • 0 <= from_vertex, to_vertex < n
  • -10^6 <= weight <= 10^6
  • 0 <= source < n
  • Parallel edges and self-loops may occur
  • Return None only when a negative cycle is reachable from source

Function Signature

def find_shortest_paths(n, edges, source):
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