結果
問題 | No.1301 Strange Graph Shortest Path |
ユーザー | shotoyoo |
提出日時 | 2020-11-27 23:18:51 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 1,063 ms / 3,000 ms |
コード長 | 4,510 bytes |
コンパイル時間 | 842 ms |
コンパイル使用メモリ | 86,556 KB |
実行使用メモリ | 211,636 KB |
最終ジャッジ日時 | 2023-10-09 22:08:20 |
合計ジャッジ時間 | 32,151 ms |
ジャッジサーバーID (参考情報) |
judge11 / judge15 |
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 | 162 ms
80,228 KB |
testcase_01 | AC | 162 ms
80,428 KB |
testcase_02 | AC | 1,046 ms
202,276 KB |
testcase_03 | AC | 916 ms
185,132 KB |
testcase_04 | AC | 1,057 ms
209,284 KB |
testcase_05 | AC | 1,003 ms
202,028 KB |
testcase_06 | AC | 939 ms
197,920 KB |
testcase_07 | AC | 889 ms
195,352 KB |
testcase_08 | AC | 853 ms
186,820 KB |
testcase_09 | AC | 720 ms
189,000 KB |
testcase_10 | AC | 799 ms
186,852 KB |
testcase_11 | AC | 943 ms
202,436 KB |
testcase_12 | AC | 855 ms
202,036 KB |
testcase_13 | AC | 805 ms
199,912 KB |
testcase_14 | AC | 1,027 ms
192,960 KB |
testcase_15 | AC | 805 ms
189,152 KB |
testcase_16 | AC | 946 ms
207,704 KB |
testcase_17 | AC | 916 ms
205,756 KB |
testcase_18 | AC | 948 ms
192,036 KB |
testcase_19 | AC | 743 ms
194,736 KB |
testcase_20 | AC | 857 ms
194,908 KB |
testcase_21 | AC | 884 ms
202,896 KB |
testcase_22 | AC | 1,046 ms
199,356 KB |
testcase_23 | AC | 789 ms
201,832 KB |
testcase_24 | AC | 954 ms
197,760 KB |
testcase_25 | AC | 918 ms
208,224 KB |
testcase_26 | AC | 870 ms
196,388 KB |
testcase_27 | AC | 786 ms
198,480 KB |
testcase_28 | AC | 812 ms
193,364 KB |
testcase_29 | AC | 1,063 ms
209,340 KB |
testcase_30 | AC | 909 ms
204,684 KB |
testcase_31 | AC | 894 ms
205,500 KB |
testcase_32 | AC | 147 ms
80,532 KB |
testcase_33 | AC | 632 ms
196,976 KB |
testcase_34 | AC | 866 ms
211,636 KB |
ソースコード
import sys input = lambda : sys.stdin.readline().rstrip() sys.setrecursionlimit(max(1000, 10**9)) write = lambda x: sys.stdout.write(x+"\n") from typing import NamedTuple, Optional, List, Tuple, cast from heapq import heappush, heappop class MCFGraph: class Edge(NamedTuple): src: int dst: int cap: int flow: int cost: int class _Edge: def __init__(self, dst: int, cap: int, cost: int) -> None: self.dst = dst self.cap = cap self.cost = cost self.rev: Optional[MCFGraph._Edge] = None def __init__(self, n: int) -> None: self._n = n self._g: List[List[MCFGraph._Edge]] = [[] for _ in range(n)] self._edges: List[MCFGraph._Edge] = [] def add_edge(self, src: int, dst: int, cap: int, cost: int) -> int: assert 0 <= src < self._n assert 0 <= dst < self._n assert 0 <= cap m = len(self._edges) e = MCFGraph._Edge(dst, cap, cost) re = MCFGraph._Edge(src, 0, -cost) e.rev = re re.rev = e self._g[src].append(e) self._g[dst].append(re) self._edges.append(e) return m def get_edge(self, i: int) -> Edge: assert 0 <= i < len(self._edges) e = self._edges[i] re = cast(MCFGraph._Edge, e.rev) return MCFGraph.Edge( re.dst, e.dst, e.cap + re.cap, re.cap, e.cost ) def edges(self) -> List[Edge]: return [self.get_edge(i) for i in range(len(self._edges))] def flow(self, s: int, t: int, flow_limit: Optional[int] = None) -> Tuple[int, int]: return self.slope(s, t, flow_limit)[-1] def slope(self, s: int, t: int, flow_limit: Optional[int] = None) -> List[Tuple[int, int]]: assert 0 <= s < self._n assert 0 <= t < self._n assert s != t if flow_limit is None: flow_limit = cast(int, sum(e.cap for e in self._g[s])) dual = [0] * self._n prev: List[Optional[Tuple[int, MCFGraph._Edge]]] = [None] * self._n def refine_dual() -> bool: pq = [(0, s)] visited = [False] * self._n dist: List[Optional[int]] = [None] * self._n dist[s] = 0 while pq: dist_v, v = heappop(pq) if visited[v]: continue visited[v] = True if v == t: break dual_v = dual[v] for e in self._g[v]: w = e.dst if visited[w] or e.cap == 0: continue reduced_cost = e.cost - dual[w] + dual_v new_dist = dist_v + reduced_cost dist_w = dist[w] if dist_w is None or new_dist < dist_w: dist[w] = new_dist prev[w] = v, e heappush(pq, (new_dist, w)) else: return False dist_t = dist[t] for v in range(self._n): if visited[v]: dual[v] -= cast(int, dist_t) - cast(int, dist[v]) return True flow = 0 cost = 0 prev_cost_per_flow: Optional[int] = None result = [(flow, cost)] while flow < flow_limit: if not refine_dual(): break f = flow_limit - flow v = t while prev[v] is not None: u, e = cast(Tuple[int, MCFGraph._Edge], prev[v]) f = min(f, e.cap) v = u v = t while prev[v] is not None: u, e = cast(Tuple[int, MCFGraph._Edge], prev[v]) e.cap -= f assert e.rev is not None e.rev.cap += f v = u c = -dual[s] flow += f cost += f * c if c == prev_cost_per_flow: result.pop() result.append((flow, cost)) prev_cost_per_flow = c return result # グラフの読み込み n,m = map(int, input().split()) g = MCFGraph(n) for _ in range(m): u,v,c,d = map(int, input().split()) u -= 1 v -= 1 g.add_edge(u,v,1, c) g.add_edge(u,v,1, d) g.add_edge(v,u,1, c) g.add_edge(v,u,1, d) val = g.flow(0,n-1,2) # d[u][v]: (u,v)の流量 ans = val[1] print(ans)