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42 lines
1.1 KiB
Python
42 lines
1.1 KiB
Python
import heapq
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import logging
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import math
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logging.basicConfig(level=logging.DEBUG)
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logger = logging.getLogger(__name__)
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graph = {
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"start": {"a": 10},
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"a": {"c": 20},
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"b": {"a": 1, "c": 1},
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"c": {"b": 1, "fin": 30},
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"fin": {},
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}
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def dijkstra(graph, node):
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costs = {node: math.inf for node in graph}
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costs[node] = 0
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parents = {node: None for node in graph}
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queue = [(0, node)]
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while queue:
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current_cost, current_node = heapq.heappop(queue)
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logger.debug(f"node {current_node} with cost {current_cost} popped from pqueue")
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for next_node, weight in graph[current_node].items():
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new_cost = current_cost + weight
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if new_cost < costs[next_node]:
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costs[next_node] = new_cost
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parents[next_node] = current_node
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heapq.heappush(queue, (new_cost, next_node))
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logger.debug(
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f"node {next_node} with new cost {new_cost} appended to pqueue"
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)
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return costs, parents
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costs, parents = dijkstra(graph, "start")
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print(f"lowest cost from start to fin: {costs['fin']}")
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