結果
問題 | No.1678 Coin Trade (Multiple) |
ユーザー | convexineq |
提出日時 | 2021-09-10 23:07:46 |
言語 | PyPy3 (7.3.15) |
結果 |
TLE
|
実行時間 | - |
コード長 | 4,736 bytes |
コンパイル時間 | 583 ms |
コンパイル使用メモリ | 87,220 KB |
実行使用メモリ | 265,448 KB |
最終ジャッジ日時 | 2023-09-02 21:13:37 |
合計ジャッジ時間 | 39,864 ms |
ジャッジサーバーID (参考情報) |
judge14 / judge12 |
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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 | 171 ms
80,776 KB |
testcase_01 | AC | 170 ms
80,740 KB |
testcase_02 | AC | 174 ms
80,708 KB |
testcase_03 | AC | 756 ms
111,300 KB |
testcase_04 | AC | 2,901 ms
222,800 KB |
testcase_05 | AC | 1,356 ms
149,436 KB |
testcase_06 | AC | 1,045 ms
134,228 KB |
testcase_07 | AC | 2,290 ms
195,340 KB |
testcase_08 | AC | 1,755 ms
161,092 KB |
testcase_09 | AC | 1,463 ms
154,036 KB |
testcase_10 | AC | 649 ms
94,620 KB |
testcase_11 | AC | 2,073 ms
185,388 KB |
testcase_12 | AC | 591 ms
96,276 KB |
testcase_13 | AC | 4,555 ms
265,364 KB |
testcase_14 | AC | 1,470 ms
141,888 KB |
testcase_15 | AC | 1,586 ms
158,100 KB |
testcase_16 | AC | 673 ms
110,088 KB |
testcase_17 | AC | 1,526 ms
156,636 KB |
testcase_18 | AC | 181 ms
82,540 KB |
testcase_19 | AC | 163 ms
80,712 KB |
testcase_20 | AC | 169 ms
80,728 KB |
testcase_21 | AC | 176 ms
81,864 KB |
testcase_22 | AC | 180 ms
81,864 KB |
testcase_23 | AC | 171 ms
80,580 KB |
testcase_24 | AC | 179 ms
82,304 KB |
testcase_25 | AC | 169 ms
80,828 KB |
testcase_26 | AC | 180 ms
82,668 KB |
testcase_27 | AC | 167 ms
80,788 KB |
testcase_28 | AC | 176 ms
81,620 KB |
testcase_29 | AC | 169 ms
80,708 KB |
testcase_30 | AC | 172 ms
81,136 KB |
testcase_31 | AC | 172 ms
80,708 KB |
testcase_32 | AC | 171 ms
80,472 KB |
testcase_33 | AC | 181 ms
82,364 KB |
testcase_34 | AC | 171 ms
80,880 KB |
testcase_35 | AC | 169 ms
80,708 KB |
testcase_36 | AC | 179 ms
82,368 KB |
testcase_37 | AC | 181 ms
82,280 KB |
testcase_38 | AC | 166 ms
80,712 KB |
testcase_39 | AC | 169 ms
80,764 KB |
testcase_40 | AC | 177 ms
82,604 KB |
testcase_41 | AC | 179 ms
82,720 KB |
testcase_42 | AC | 181 ms
82,104 KB |
testcase_43 | AC | 185 ms
82,860 KB |
testcase_44 | AC | 168 ms
80,708 KB |
testcase_45 | AC | 169 ms
80,724 KB |
testcase_46 | AC | 186 ms
82,560 KB |
testcase_47 | AC | 177 ms
81,660 KB |
testcase_48 | TLE | - |
testcase_49 | TLE | - |
testcase_50 | TLE | - |
testcase_51 | TLE | - |
testcase_52 | TLE | - |
testcase_53 | TLE | - |
testcase_54 | TLE | - |
testcase_55 | TLE | - |
testcase_56 | -- | - |
testcase_57 | -- | - |
testcase_58 | -- | - |
ソースコード
#from https://github.com/not522/ac-library-python/blob/master/atcoder/mincostflow.py 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 import sys readline = sys.stdin.readline n,k = map(int,readline().split()) a = [0]*n S,T = n,n+1 INF = 1<<30 g = MCFGraph(n+2) #g.add_edge(src: int, dst: int, cap: int, cost: int) -> int: g.add_edge(S,0,k,0) g.add_edge(n-1,T,k,0) for i in range(n-1): g.add_edge(i,i+1,k,INF) for i in range(n): a[i],_ = map(int,input().split()) *b, = map(int,input().split()) for bi in b: bi -= 1 # bi -> i 矢印 gain = a[i] - a[bi] if gain > 0: g.add_edge(bi,i,1,INF*(i-bi)-gain) res = g.flow(S,T,k) print(INF*(n-1)*k - res[1])