結果

問題 No.1320 Two Type Min Cost Cycle
ユーザー 草苺奶昔草苺奶昔
提出日時 2023-04-02 19:16:48
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 822 ms / 2,000 ms
コード長 2,369 bytes
コンパイル時間 185 ms
コンパイル使用メモリ 82,376 KB
実行使用メモリ 84,016 KB
最終ジャッジ日時 2024-09-25 00:36:29
合計ジャッジ時間 14,846 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 58 ms
67,300 KB
testcase_01 AC 58 ms
68,724 KB
testcase_02 AC 58 ms
68,452 KB
testcase_03 AC 60 ms
68,064 KB
testcase_04 AC 60 ms
67,800 KB
testcase_05 AC 60 ms
68,460 KB
testcase_06 AC 60 ms
68,588 KB
testcase_07 AC 90 ms
77,748 KB
testcase_08 AC 113 ms
78,252 KB
testcase_09 AC 659 ms
81,620 KB
testcase_10 AC 106 ms
79,364 KB
testcase_11 AC 545 ms
81,552 KB
testcase_12 AC 198 ms
79,912 KB
testcase_13 AC 336 ms
80,296 KB
testcase_14 AC 67 ms
73,472 KB
testcase_15 AC 117 ms
79,240 KB
testcase_16 AC 184 ms
79,056 KB
testcase_17 AC 86 ms
77,796 KB
testcase_18 AC 81 ms
77,840 KB
testcase_19 AC 405 ms
80,880 KB
testcase_20 AC 65 ms
72,056 KB
testcase_21 AC 649 ms
82,328 KB
testcase_22 AC 60 ms
68,136 KB
testcase_23 AC 60 ms
68,828 KB
testcase_24 AC 60 ms
67,212 KB
testcase_25 AC 59 ms
67,732 KB
testcase_26 AC 58 ms
68,152 KB
testcase_27 AC 59 ms
67,916 KB
testcase_28 AC 80 ms
77,620 KB
testcase_29 AC 164 ms
79,420 KB
testcase_30 AC 68 ms
72,284 KB
testcase_31 AC 97 ms
78,168 KB
testcase_32 AC 59 ms
67,712 KB
testcase_33 AC 308 ms
79,860 KB
testcase_34 AC 199 ms
79,580 KB
testcase_35 AC 148 ms
78,676 KB
testcase_36 AC 134 ms
79,100 KB
testcase_37 AC 114 ms
78,272 KB
testcase_38 AC 152 ms
78,476 KB
testcase_39 AC 143 ms
78,576 KB
testcase_40 AC 62 ms
69,032 KB
testcase_41 AC 59 ms
67,356 KB
testcase_42 AC 57 ms
68,400 KB
testcase_43 AC 151 ms
80,200 KB
testcase_44 AC 135 ms
79,716 KB
testcase_45 AC 822 ms
82,776 KB
testcase_46 AC 103 ms
78,296 KB
testcase_47 AC 184 ms
79,880 KB
testcase_48 AC 422 ms
80,740 KB
testcase_49 AC 107 ms
78,180 KB
testcase_50 AC 61 ms
67,648 KB
testcase_51 AC 60 ms
67,504 KB
testcase_52 AC 191 ms
78,816 KB
testcase_53 AC 161 ms
78,572 KB
testcase_54 AC 742 ms
83,448 KB
testcase_55 AC 710 ms
83,264 KB
testcase_56 AC 701 ms
83,384 KB
testcase_57 AC 686 ms
83,620 KB
testcase_58 AC 695 ms
83,896 KB
testcase_59 AC 684 ms
84,016 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

from collections import deque
from heapq import heappop, heappush
from typing import List, Tuple

INF = int(1e18)


def minCostCycle(n: int, edges: List[Tuple[int, int, int]], directed: bool) -> int:
    adjList = [[] for _ in range(n)]
    maxWeight = 0
    for u, v, w in edges:
        if w > maxWeight:
            maxWeight = w
        adjList[u].append((v, w))
        if not directed:
            adjList[v].append((u, w))
    res = INF
    for i in range(len(edges)):  # remove edge i
        from_, to, weight = edges[i]
        dist = _bfs01(adjList, to, from_) if maxWeight <= 1 else _dijkstra(adjList, to, from_)
        cand = weight + dist
        if cand < res:
            res = cand
    return res


def _bfs01(adjList: List[List[Tuple[int, int]]], start: int, target: int) -> int:
    n = len(adjList)
    dist = [INF] * n
    dist[start] = 0
    queue = deque([start])
    while queue:
        cur = queue.popleft()
        if cur == target:
            return dist[cur]
        for next, weight in adjList[cur]:
            if (cur, next) == (start, target) or (cur, next) == (target, start):
                continue
            cand = dist[cur] + weight
            if cand < dist[next]:
                dist[next] = cand
                if weight == 0:
                    queue.appendleft(next)
                else:
                    queue.append(next)
    return INF


def _dijkstra(adjList: List[List[Tuple[int, int]]], start: int, target: int) -> int:
    n = len(adjList)
    dist = [INF] * n
    dist[start] = 0
    pq = [(0, start)]
    while pq:
        curDist, cur = heappop(pq)
        if cur == target:
            return curDist
        if dist[cur] < curDist:
            continue
        for next, weight in adjList[cur]:
            if (cur, next) == (start, target) or (cur, next) == (target, start):
                continue
            cand = curDist + weight
            if cand < dist[next]:
                dist[next] = cand
                heappush(pq, (cand, next))
    return INF


if __name__ == "__main__":
    directed = int(input())
    n, m = map(int, input().split())
    edges = []
    for _ in range(m):
        u, v, w = map(int, input().split())
        u -= 1
        v -= 1
        edges.append((u, v, w))
    res = minCostCycle(n, edges, directed == 1)
    if res == INF:
        res = -1
    print(res)
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