結果

問題 No.1744 Selfish Spies 1 (à la Princess' Perfectionism)
ユーザー vwxyzvwxyz
提出日時 2023-08-08 23:50:58
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 5,075 bytes
コンパイル時間 351 ms
コンパイル使用メモリ 82,252 KB
実行使用メモリ 173,116 KB
最終ジャッジ日時 2024-11-14 05:03:17
合計ジャッジ時間 47,977 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge4
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 64 ms
172,540 KB
testcase_01 AC 63 ms
76,316 KB
testcase_02 AC 67 ms
173,116 KB
testcase_03 AC 62 ms
68,772 KB
testcase_04 AC 63 ms
68,504 KB
testcase_05 AC 64 ms
69,908 KB
testcase_06 AC 63 ms
69,280 KB
testcase_07 AC 67 ms
68,840 KB
testcase_08 AC 67 ms
69,380 KB
testcase_09 AC 81 ms
73,452 KB
testcase_10 AC 102 ms
78,104 KB
testcase_11 AC 130 ms
79,216 KB
testcase_12 AC 129 ms
79,240 KB
testcase_13 AC 172 ms
79,020 KB
testcase_14 AC 228 ms
79,584 KB
testcase_15 AC 236 ms
79,920 KB
testcase_16 AC 306 ms
80,512 KB
testcase_17 AC 649 ms
83,760 KB
testcase_18 AC 701 ms
82,144 KB
testcase_19 AC 92 ms
78,112 KB
testcase_20 AC 131 ms
79,028 KB
testcase_21 AC 155 ms
79,292 KB
testcase_22 AC 125 ms
78,412 KB
testcase_23 AC 167 ms
79,364 KB
testcase_24 AC 879 ms
85,276 KB
testcase_25 AC 352 ms
81,068 KB
testcase_26 AC 313 ms
81,216 KB
testcase_27 AC 552 ms
82,364 KB
testcase_28 TLE -
testcase_29 AC 661 ms
82,660 KB
testcase_30 AC 770 ms
82,752 KB
testcase_31 AC 572 ms
82,700 KB
testcase_32 AC 772 ms
83,192 KB
testcase_33 TLE -
testcase_34 TLE -
testcase_35 TLE -
testcase_36 AC 2,584 ms
104,580 KB
testcase_37 AC 4,717 ms
105,352 KB
testcase_38 TLE -
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
readline=sys.stdin.readline
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,L=map(int,readline().split())
s=0
t=N+M+1
MFG=MFGraph(N+M+2)
s=0
t=N+M+1
for l in range(L):
    x,y=map(int,readline().split())
    x-=1;y-=1
    MFG.add_edge(1+x,1+N+y,1)
for n in range(N):
    MFG.add_edge(s,1+n,1)
for m in range(M):
    MFG.add_edge(1+N+m,t,1)
MFG.flow(s,t)
for l in range(L):
    e=MFG.get_edge(l)
    if e.flow:
        MFG.change_edge(l,0,0)
        if MFG.flow(e.src,e.dst):
            ans="Yes"
            MFG.flow(e.dst,e.src)
        else:
            ans="No"
        MFG.change_edge(l,1,1)
    else:
        ans="Yes"
    print(ans)
0