結果

問題 No.3024 全単射的
ユーザー mkawa2
提出日時 2025-02-14 22:32:48
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 1,930 ms / 5,000 ms
コード長 6,909 bytes
コンパイル時間 430 ms
コンパイル使用メモリ 82,548 KB
実行使用メモリ 274,260 KB
最終ジャッジ日時 2025-02-14 22:33:41
合計ジャッジ時間 13,452 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge4
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ファイルパターン 結果
other AC * 22
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 #
プレゼンテーションモードにする

import sys
# sys.setrecursionlimit(200005)
# sys.set_int_max_str_digits(200005)
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-(-1 << 31)
inf = -1-(-1 << 62)
# 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+2
        self._g: List[List[MFGraph._Edge]] = [[] for _ in range(n+2)]
        self._edges: List[MFGraph._Edge] = []
        self._lower_sum = 0
    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
    # cap's range [l,r]
    def add_edge_lr(self, src: int, dst: int, l: int, r: int) -> int:
        assert 0 <= src < self._n
        assert 0 <= dst < self._n
        assert 0 <= l <= r
        if r-l: self.add_edge(src, dst, r-l)
        self.add_edge(src, self._n-1, l)
        self.add_edge(self._n-2, dst, l)
        self._lower_sum += l
    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 flow_lr(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:
            flow_limit -= self._lower_sum
            if flow_limit < 0: return -1
        f = self.flow(self._n-2, self._n-1)*2
        f += self.flow(self._n-2, t)
        f += self.flow(s, self._n-1)
        if f < self._lower_sum*2: return -1
        f = self.flow(s, t, flow_limit)
        return f+self._lower_sum
    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=LI()
dec=set()
xy=[]
for _ in range(n):
    x,y=LI()
    dec.add(x)
    dec.add(y)
    xy.append([x,y])
enc={a:i for i,a in enumerate(sorted(dec))}
m=len(enc)
mf=MFGraph(n+m+2)
s=n+m
t=s+1
for u in range(n):
    mf.add_edge(s,u,1)
    x,y=xy[u]
    x=enc[x]+n
    y=enc[y]+n
    mf.add_edge(u,x,1)
    mf.add_edge(u,y,1)
for v in range(n,n+m):
    mf.add_edge(v,t,1)
print(mf.flow(s,t))
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