結果

問題 No.1301 Strange Graph Shortest Path
ユーザー lam6er
提出日時 2025-03-31 17:58:36
言語 PyPy3
(7.3.15)
結果
WA  
実行時間 -
コード長 1,510 bytes
コンパイル時間 378 ms
コンパイル使用メモリ 82,676 KB
実行使用メモリ 137,692 KB
最終ジャッジ日時 2025-03-31 17:59:40
合計ジャッジ時間 29,629 ms
ジャッジサーバーID
(参考情報)
judge3 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 28 WA * 5
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ソースコード

diff #

import sys
import heapq

def dijkstra(n, adj, start):
    dist = [float('inf')] * (n + 1)
    dist[start] = 0
    heap = []
    heapq.heappush(heap, (0, start))
    visited = [False] * (n + 1)
    while heap:
        current_dist, u = heapq.heappop(heap)
        if visited[u]:
            continue
        visited[u] = True
        for v, cost in adj[u]:
            if dist[v] > current_dist + cost:
                dist[v] = current_dist + cost
                heapq.heappush(heap, (dist[v], v))
    return dist

def main():
    n, m = map(int, sys.stdin.readline().split())
    edges = []
    adj_forward = [[] for _ in range(n + 1)]
    for _ in range(m):
        u, v, c, d = map(int, sys.stdin.readline().split())
        edges.append((u, v, c, d))
        adj_forward[u].append((v, c))
        adj_forward[v].append((u, c))
    
    d1 = dijkstra(n, adj_forward, 1)
    dn = dijkstra(n, adj_forward, n)
    s_dist = d1[n]
    
    adj_return = [[] for _ in range(n + 1)]
    for u, v, c, d in edges:
        # Check if this edge is part of any shortest path from 1 to N
        part_of_shortest = False
        if d1[u] + c + dn[v] == s_dist:
            part_of_shortest = True
        if d1[v] + c + dn[u] == s_dist:
            part_of_shortest = True
        cost = d if part_of_shortest else c
        adj_return[u].append((v, cost))
        adj_return[v].append((u, cost))
    
    return_dist = dijkstra(n, adj_return, n)
    print(s_dist + return_dist[1])

if __name__ == "__main__":
    main()
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