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Design Algorithms for Custom Data Routing
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Design Algorithms for Custom Data Routing

HardPython

Problem

How would you design algorithms for custom data routing?

Implement a minimum-cost routing algorithm for a directed network. Each link is [start, end, latency, capacity]. Route exactly units from source to sink with minimum total latency, treating parallel links between the same endpoints as distinct alternatives that can each carry at most one unit. Return -1 if routing is impossible.

Function: def route_data(nodes, links, source, sink, units):

Return an integer total latency. Nodes are integer identifiers, and all latencies and capacities are nonnegative integers.

Constraints

  • 1 <= len(nodes) <= 100
  • 0 <= len(links) <= 500
  • 1 <= units <= 10000
  • Each link has the form [start, end, latency, capacity]
  • start and end are values in nodes
  • 0 <= latency <= 10^6
  • 0 <= capacity <= 10^4

Function Signature

def route_data(nodes, links, source, sink, units):
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