結果

問題 No.654 Air E869120
ユーザー vwxyzvwxyz
提出日時 2021-07-19 12:01:35
言語 Python3
(3.12.2 + numpy 1.26.4 + scipy 1.12.0)
結果
AC  
実行時間 780 ms / 2,000 ms
コード長 5,796 bytes
コンパイル時間 90 ms
コンパイル使用メモリ 11,412 KB
実行使用メモリ 37,180 KB
最終ジャッジ日時 2023-09-24 04:29:56
合計ジャッジ時間 18,813 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge15
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 40 ms
11,488 KB
testcase_01 AC 36 ms
11,424 KB
testcase_02 AC 37 ms
11,424 KB
testcase_03 AC 36 ms
11,576 KB
testcase_04 AC 35 ms
11,544 KB
testcase_05 AC 36 ms
11,440 KB
testcase_06 AC 38 ms
11,508 KB
testcase_07 AC 39 ms
11,516 KB
testcase_08 AC 35 ms
11,496 KB
testcase_09 AC 34 ms
11,524 KB
testcase_10 AC 780 ms
37,180 KB
testcase_11 AC 758 ms
29,356 KB
testcase_12 AC 755 ms
30,312 KB
testcase_13 AC 754 ms
30,820 KB
testcase_14 AC 746 ms
27,896 KB
testcase_15 AC 752 ms
33,920 KB
testcase_16 AC 648 ms
20,448 KB
testcase_17 AC 654 ms
20,396 KB
testcase_18 AC 617 ms
20,464 KB
testcase_19 AC 683 ms
19,740 KB
testcase_20 AC 604 ms
15,992 KB
testcase_21 AC 583 ms
16,432 KB
testcase_22 AC 597 ms
16,016 KB
testcase_23 AC 575 ms
16,568 KB
testcase_24 AC 599 ms
16,096 KB
testcase_25 AC 588 ms
14,808 KB
testcase_26 AC 584 ms
15,524 KB
testcase_27 AC 590 ms
14,456 KB
testcase_28 AC 565 ms
14,400 KB
testcase_29 AC 580 ms
13,908 KB
testcase_30 AC 567 ms
12,272 KB
testcase_31 AC 583 ms
12,292 KB
testcase_32 AC 550 ms
12,340 KB
testcase_33 AC 550 ms
12,240 KB
testcase_34 AC 566 ms
12,444 KB
testcase_35 AC 37 ms
11,504 KB
testcase_36 AC 34 ms
11,464 KB
testcase_37 AC 36 ms
11,392 KB
testcase_38 AC 35 ms
11,464 KB
testcase_39 AC 36 ms
11,492 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 bisect
import copy
import decimal
import fractions
import heapq
import itertools
import math
import random
import sys
from collections import Counter,deque,defaultdict
from functools import lru_cache,reduce
from heapq import heappush,heappop,heapify,heappushpop,_heappop_max,_heapify_max
def _heappush_max(heap,item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappushpop_max(heap, item):
    if heap and item < heap[0]:
        item, heap[0] = heap[0], item
        heapq._siftup_max(heap, 0)
    return item
from math import gcd as GCD
read=sys.stdin.read
readline=sys.stdin.readline
readlines=sys.stdin.readlines
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 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=map(int,readline().split())
air=[list(map(int,readline().split())) for i in range(M)]
for i in range(M):
    air[i][0]-=1
    air[i][1]-=1
MFG=MFGraph(2*M+2)
inf=1<<60
for i in range(M):
    u,v,p,q,w=air[i]
    MFG.add_edge(i+1,i+M+1,w)
    if u==0:
        MFG.add_edge(0,i+1,inf)
    if v==N-1:
        MFG.add_edge(i+M+1,2*M+1,inf)
for i in range(M):
    for j in range(M):
        if i==j:
            continue
        u0,v0,p0,q0,w0=air[i]
        u1,v1,p1,q1,w1=air[j]
        if v0==u1 and q0+d<=p1:
            MFG.add_edge(i+M+1,j+1,inf)
        if v1==u0 and q1+d<=p0:
            MFG.add_edge(j+M+1,i+1,inf)
ans=MFG.flow(0,2*M+1)
print(ans)
0