結果

問題 No.654 Air E869120
ユーザー mkawa2mkawa2
提出日時 2023-01-13 14:41:06
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 430 ms / 2,000 ms
コード長 6,092 bytes
コンパイル時間 1,527 ms
コンパイル使用メモリ 86,836 KB
実行使用メモリ 85,028 KB
最終ジャッジ日時 2023-08-25 21:40:55
合計ジャッジ時間 12,142 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge11
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 166 ms
80,304 KB
testcase_01 AC 166 ms
80,392 KB
testcase_02 AC 171 ms
80,400 KB
testcase_03 AC 169 ms
80,072 KB
testcase_04 AC 170 ms
80,440 KB
testcase_05 AC 169 ms
80,328 KB
testcase_06 AC 169 ms
80,424 KB
testcase_07 AC 168 ms
80,136 KB
testcase_08 AC 168 ms
80,116 KB
testcase_09 AC 168 ms
80,380 KB
testcase_10 AC 430 ms
84,868 KB
testcase_11 AC 340 ms
84,440 KB
testcase_12 AC 361 ms
84,848 KB
testcase_13 AC 368 ms
84,712 KB
testcase_14 AC 358 ms
85,028 KB
testcase_15 AC 341 ms
84,816 KB
testcase_16 AC 272 ms
84,412 KB
testcase_17 AC 292 ms
84,404 KB
testcase_18 AC 267 ms
84,436 KB
testcase_19 AC 271 ms
84,368 KB
testcase_20 AC 234 ms
84,172 KB
testcase_21 AC 242 ms
84,120 KB
testcase_22 AC 207 ms
83,780 KB
testcase_23 AC 226 ms
84,308 KB
testcase_24 AC 236 ms
84,188 KB
testcase_25 AC 207 ms
83,112 KB
testcase_26 AC 219 ms
83,752 KB
testcase_27 AC 202 ms
83,056 KB
testcase_28 AC 207 ms
83,488 KB
testcase_29 AC 201 ms
83,000 KB
testcase_30 AC 197 ms
83,048 KB
testcase_31 AC 194 ms
83,164 KB
testcase_32 AC 198 ms
83,156 KB
testcase_33 AC 194 ms
83,012 KB
testcase_34 AC 191 ms
83,024 KB
testcase_35 AC 163 ms
80,468 KB
testcase_36 AC 165 ms
80,312 KB
testcase_37 AC 168 ms
80,060 KB
testcase_38 AC 167 ms
80,356 KB
testcase_39 AC 171 ms
80,504 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 # 

import sys

# sys.setrecursionlimit(1000005)
int1 = lambda x: int(x)-1
pDB = lambda *x: print(*x, end="\n", file=sys.stderr)
p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr)
def II(): return int(sys.stdin.readline())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def SI(): return sys.stdin.readline().rstrip()

# dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
inf = (1 << 63)-1
# inf = (1 << 31)-1
md = 10**9+7
# md = 998244353

from typing import NamedTuple, Optional, List, cast

class MFGraph:
    class Edge(NamedTuple):
        src: int
        dst: int
        cap: int
        flow: int

    class _Edge:
        def __init__(self, dst: int, cap: int) -> None:
            self.dst = dst
            self.cap = cap
            self.rev: Optional[MFGraph._Edge] = None

    def __init__(self, n: int) -> None:
        self._n = n
        self._g: List[List[MFGraph._Edge]] = [[] for _ in range(n)]
        self._edges: List[MFGraph._Edge] = []

    def add_edge(self, src: int, dst: int, cap: int) -> int:
        assert 0 <= src < self._n
        assert 0 <= dst < self._n
        assert 0 <= cap
        m = len(self._edges)
        e = MFGraph._Edge(dst, cap)
        re = MFGraph._Edge(src, 0)
        e.rev = re
        re.rev = e
        self._g[src].append(e)
        self._g[dst].append(re)
        self._edges.append(e)
        return m

    def add_undir_edge(self, src: int, dst: int, cap: int) -> int:
        assert 0 <= src < self._n
        assert 0 <= dst < self._n
        assert 0 <= cap
        m = len(self._edges)
        e = MFGraph._Edge(dst, cap)
        re = MFGraph._Edge(src, cap)
        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(MFGraph._Edge, e.rev)
        return MFGraph.Edge(
            re.dst,
            e.dst,
            e.cap + re.cap,
            re.cap
        )

    def edges(self) -> List[Edge]:
        return [self.get_edge(i) for i in range(len(self._edges))]

    def change_edge(self, i: int, new_cap: int, new_flow: int) -> None:
        assert 0 <= i < len(self._edges)
        assert 0 <= new_flow <= new_cap
        e = self._edges[i]
        e.cap = new_cap - new_flow
        assert e.rev is not None
        e.rev.cap = new_flow

    def flow(self, s: int, t: int, flow_limit: Optional[int] = None) -> 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]))

        current_edge = [0] * self._n
        level = [0] * self._n

        def fill(arr: List[int], value: int) -> None:
            for i in range(len(arr)):
                arr[i] = value

        def bfs() -> bool:
            fill(level, self._n)
            queue = []
            q_front = 0
            queue.append(s)
            level[s] = 0
            while q_front < len(queue):
                v = queue[q_front]
                q_front += 1
                next_level = level[v] + 1
                for e in self._g[v]:
                    if e.cap == 0 or level[e.dst] <= next_level:
                        continue
                    level[e.dst] = next_level
                    if e.dst == t:
                        return True
                    queue.append(e.dst)
            return False

        def dfs(lim: int) -> int:
            stack = []
            edge_stack: List[MFGraph._Edge] = []
            stack.append(t)
            while stack:
                v = stack[-1]
                if v == s:
                    flow = min(lim, min(e.cap for e in edge_stack))
                    for e in edge_stack:
                        e.cap -= flow
                        assert e.rev is not None
                        e.rev.cap += flow
                    return flow
                next_level = level[v] - 1
                while current_edge[v] < len(self._g[v]):
                    e = self._g[v][current_edge[v]]
                    re = cast(MFGraph._Edge, e.rev)
                    if level[e.dst] != next_level or re.cap == 0:
                        current_edge[v] += 1
                        continue
                    stack.append(e.dst)
                    edge_stack.append(re)
                    break
                else:
                    stack.pop()
                    if edge_stack:
                        edge_stack.pop()
                    level[v] = self._n
            return 0

        flow = 0
        while flow < flow_limit:
            if not bfs():
                break
            fill(current_edge, 0)
            while flow < flow_limit:
                f = dfs(flow_limit - flow)
                flow += f
                if f == 0:
                    break
        return flow

    def min_cut(self, s: int) -> List[bool]:
        visited = [False] * self._n
        stack = [s]
        visited[s] = True
        while stack:
            v = stack.pop()
            for e in self._g[v]:
                if e.cap > 0 and not visited[e.dst]:
                    visited[e.dst] = True
                    stack.append(e.dst)
        return visited

n,m,d=LI()
ts=[[] for _ in range(n)]
mf=MFGraph(m*2)

for i in range(m):
    u,v,p,q,w=LI()
    u,v=u-1,v-1
    q+=d
    e=i*2
    f=i*2+1
    mf.add_edge(e,f,w)
    ts[u].append((p*2+1,e))
    ts[v].append((q*2,f))

for u in range(n):
    ts[u].sort(key=lambda x:x[0])
    for i in range(len(ts[u])-1):
        e=ts[u][i][1]
        f=ts[u][i+1][1]
        mf.add_edge(e,f,inf)

if not ts[0] or not ts[-1]:
    print(0)
else:
    ans=mf.flow(ts[0][0][1],ts[-1][-1][1])
    print(ans)
0