結果

問題 No.2292 Interval Union Find
ユーザー mkawa2
提出日時 2025-04-22 23:58:32
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 1,284 ms / 5,000 ms
コード長 6,308 bytes
コンパイル時間 761 ms
コンパイル使用メモリ 82,380 KB
実行使用メモリ 117,740 KB
最終ジャッジ日時 2025-04-22 23:59:25
合計ジャッジ時間 49,658 ms
ジャッジサーバーID
(参考情報)
judge3 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 4
other AC * 44
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(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

# Thanks for tatyam
# https://github.com/tatyam-prime/SortedSet/blob/main/SortedSet.py
import math
from bisect import bisect_left, bisect_right
from typing import Generic, Iterable, Iterator, TypeVar, Optional, List

T = TypeVar('T')

class SortedSet(Generic[T]):
    BUCKET_RATIO = 50
    REBUILD_RATIO = 170

    def _build(self, a=None) -> None:
        "Evenly divide `a` into buckets."
        if a is None: a = list(self)
        size = self.size = len(a)
        bucket_size = int(math.ceil(math.sqrt(size/self.BUCKET_RATIO)))
        self.a = [a[size*i//bucket_size: size*(i+1)//bucket_size] for i in range(bucket_size)]

    def __init__(self, a: Iterable[T] = []) -> None:
        "Make a new SortedSet from iterable. / O(N) if sorted and unique / O(N log N)"
        a = list(a)
        if not all(a[i] < a[i+1] for i in range(len(a)-1)):
            a = sorted(set(a))
        self._build(a)

    def __iter__(self) -> Iterator[T]:
        for i in self.a:
            for j in i: yield j

    def __reversed__(self) -> Iterator[T]:
        for i in reversed(self.a):
            for j in reversed(i): yield j

    def __len__(self) -> int:
        return self.size

    def __repr__(self) -> str:
        return "SortedSet"+str(self.a)

    def __str__(self) -> str:
        s = str(list(self))
        return "{"+s[1: len(s)-1]+"}"

    def _find_bucket(self, x: T) -> List[T]:
        "Find the bucket which should contain x. self must not be empty."
        for a in self.a:
            if x <= a[-1]: return a
        return a

    def __contains__(self, x: T) -> bool:
        if self.size == 0: return False
        a = self._find_bucket(x)
        i = bisect_left(a, x)
        return i != len(a) and a[i] == x

    def add(self, x: T) -> bool:
        "Add an element and return True if added. / O(√N)"
        if self.size == 0:
            self.a = [[x]]
            self.size = 1
            return True
        a = self._find_bucket(x)
        i = bisect_left(a, x)
        if i != len(a) and a[i] == x: return False
        a.insert(i, x)
        self.size += 1
        if len(a) > len(self.a)*self.REBUILD_RATIO:
            self._build()
        return True

    def discard(self, x: T) -> bool:
        "Remove an element and return True if removed. / O(√N)"
        if self.size == 0: return False
        a = self._find_bucket(x)
        i = bisect_left(a, x)
        if i == len(a) or a[i] != x: return False
        a.pop(i)
        self.size -= 1
        if len(a) == 0: self._build()
        return True

    def lt(self, x: T) -> Optional[T]:
        "Find the largest element < x, or None if it doesn't exist."
        for a in reversed(self.a):
            if a[0] < x:
                return a[bisect_left(a, x)-1]

    def le(self, x: T) -> Optional[T]:
        "Find the largest element <= x, or None if it doesn't exist."
        for a in reversed(self.a):
            if a[0] <= x:
                return a[bisect_right(a, x)-1]

    def gt(self, x: T) -> Optional[T]:
        "Find the smallest element > x, or None if it doesn't exist."
        for a in self.a:
            if a[-1] > x:
                return a[bisect_right(a, x)]

    def ge(self, x: T) -> Optional[T]:
        "Find the smallest element >= x, or None if it doesn't exist."
        for a in self.a:
            if a[-1] >= x:
                return a[bisect_left(a, x)]

    def __getitem__(self, x: int) -> T:
        "Return the x-th element, or IndexError if it doesn't exist."
        if x < 0: x += self.size
        if x < 0: raise IndexError
        for a in self.a:
            if x < len(a): return a[x]
            x -= len(a)
        raise IndexError

    def index(self, x: T) -> int:
        "Count the number of elements < x."
        ans = 0
        for a in self.a:
            if a[-1] >= x:
                return ans+bisect_left(a, x)
            ans += len(a)
        return ans

    def index_right(self, x: T) -> int:
        "Count the number of elements <= x."
        ans = 0
        for a in self.a:
            if a[-1] > x:
                return ans+bisect_right(a, x)
            ans += len(a)
        return ans

n, q = LI()
ss = SortedSet()
for _ in range(q):
    tlr = LI()
    if tlr[0] == 1:
        _, l, r = tlr
        r += 1
        p = ss.index((l, inf))
        if p and ss[p-1][1] > l:
            p -= 1
            l = ss[p][0]
        while p < len(ss):
            s, t = ss[p]
            if s >= r: break
            ss.discard((s, t))
            if t > r:
                r = t
                break
        ss.add((l, r))
    if tlr[0] == 2:
        _, l, r = tlr
        l += 1
        p = ss.index((l, -1))
        if p and ss[p-1][1] > l:
            s, t = ss[p-1]
            ss.discard((s, t))
            ss.add((s, l))
            if r < t: ss.add((r, t))
        while p < len(ss):
            s, t = ss[p]
            if t > r:
                if s < r:
                    ss.discard((s, t))
                    ss.add((r, t))
                break
            ss.discard((s, t))
    if tlr[0] == 3:
        _, u, v = tlr
        if u==v:
            print(1)
            continue
        if u > v: u, v = v, u
        p = ss.index((u, inf))
        if p and ss[p-1][0] <= u and v < ss[p-1][1]:
            print(1)
        else:
            print(0)
    if tlr[0] == 4:
        _, v = tlr
        p = ss.index((v, inf))
        if p and ss[p-1][0] <= v < ss[p-1][1]:
            print(ss[p-1][1]-ss[p-1][0])
        else:
            print(1)
    # print(ss)
0