문제풀이/백준(Boj) 문제풀이

[백준][Dijkstra/다익스트라] 1504번.특정한 최단 경로 (파이썬/Python)

얄루몬 2022. 1. 13. 12:25

import heapq
import sys
input = sys.stdin.readline
INF = int(1e9)

v, e = map(int, input().split())
graph = [[] for _ in range(v + 1)]

for _ in range(e):
    x, y, cost = map(int, input().split())
    graph[x].append((y, cost))
    graph[y].append((x, cost))


def dijkstra(start):
    distance = [INF] * (v + 1)
    q = []
    heapq.heappush(q, (0, start))
    distance[start] = 0

    while q:
        dist, now = heapq.heappop(q)

        if distance[now] < dist:
            continue

        for i in graph[now]:
            cost = dist + i[1]

            if distance[i[0]] > cost:
                distance[i[0]] = cost
                heapq.heappush(q, (cost, i[0]))

    return distance


v1, v2 = map(int, input().split())

original_distance = dijkstra(1)
v1_distance = dijkstra(v1)
v2_distance = dijkstra(v2)

v1_path = original_distance[v1] + v1_distance[v2] + v2_distance[v]
v2_path = original_distance[v2] + v2_distance[v1] + v1_distance[v]

result = min(v1_path, v2_path)
print(result if result < INF else -1)