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| 1 | +# https://www.acmicpc.net/problem/1504 |
| 2 | +# 특정한 최단 경로, 골드4 |
| 3 | + |
| 4 | +import sys |
| 5 | +import copy |
| 6 | +from collections import deque, defaultdict |
| 7 | +from typing import List |
| 8 | +sys.stdin = open('../../../input.txt', 'r') |
| 9 | + |
| 10 | +N, E = map(int,input().split(" ")) # N(정점 개수), E(간선 개수) |
| 11 | + |
| 12 | +# 다익스트라 문제 |
| 13 | +INF = float('inf') |
| 14 | +graph = [[INF] * N for _ in range(N)] |
| 15 | + |
| 16 | +for i in range(N): |
| 17 | + graph[i][i] = 0 |
| 18 | + |
| 19 | +for _ in range(E): |
| 20 | + start,end,dist = map(int,input().split(" ")) |
| 21 | + graph[start-1][end-1] = dist |
| 22 | + graph[end-1][start-1] = dist |
| 23 | + |
| 24 | +# 거쳐야 하는 점들 |
| 25 | +inputs = list(map(int,input().split(" ")) ) |
| 26 | +x1 = inputs[0]-1 |
| 27 | +x2 = inputs[1]-1 |
| 28 | + |
| 29 | +# startNode -> endNode |
| 30 | +startNode = 1-1 |
| 31 | +endNode = N-1 |
| 32 | + |
| 33 | +# 방문할 수 잇는 노드 중에 제일 가까운 노드 |
| 34 | +def getMinNode(distance, visited, N): |
| 35 | + minNode = -1 |
| 36 | + minDistance = INF |
| 37 | + for i in range(N): |
| 38 | + if not visited[i] and minDistance > distance[i]: |
| 39 | + minNode = i |
| 40 | + minDistance = distance[i] |
| 41 | + return minNode |
| 42 | + |
| 43 | + |
| 44 | +def dijkstra(graph,N,start,end): |
| 45 | + visited = [False] * N |
| 46 | + distance = graph[start] # 최신 거리 |
| 47 | + |
| 48 | + visited[start] = True |
| 49 | + |
| 50 | + for _ in range(N): |
| 51 | + node = getMinNode(distance, visited, N) |
| 52 | + |
| 53 | + visited[node] = True |
| 54 | + |
| 55 | + for index, dist in enumerate(graph[node]): |
| 56 | + if not visited[index] and distance[index] > distance[node] + dist: |
| 57 | + distance[index] = distance[node] + dist |
| 58 | + # print(f"{start} > {end} 최단거리 구하기") |
| 59 | + # print(distance) |
| 60 | + # print() |
| 61 | + return distance[end] |
| 62 | + |
| 63 | +# 2가지 거리를 계싼 |
| 64 | +common = dijkstra(graph,N,x1,x2) |
| 65 | +answer1 = dijkstra(graph,N,startNode,x1) + dijkstra(graph,N,x2,endNode) |
| 66 | +answer2 = dijkstra(graph,N,startNode,x2) + dijkstra(graph,N,x1,endNode) |
| 67 | + |
| 68 | +answer = min(answer1, answer2) + common |
| 69 | +if answer == INF: |
| 70 | + print(-1) |
| 71 | +else: |
| 72 | + print(answer) |
| 73 | +# print(common + answer1) |
| 74 | +# print(common + answer2) |
| 75 | + |
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