結果
| 問題 |
No.2292 Interval Union Find
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2023-03-16 03:58:50 |
| 言語 | Python3 (3.13.1 + numpy 2.2.1 + scipy 1.14.1) |
| 結果 |
WA
(最新)
AC
(最初)
|
| 実行時間 | - |
| コード長 | 5,556 bytes |
| コンパイル時間 | 1,139 ms |
| コンパイル使用メモリ | 13,184 KB |
| 実行使用メモリ | 26,392 KB |
| 最終ジャッジ日時 | 2024-09-22 02:27:33 |
| 合計ジャッジ時間 | 68,152 ms |
|
ジャッジサーバーID (参考情報) |
judge2 / judge1 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 WA * 1 |
| other | AC * 15 WA * 29 |
ソースコード
# https://github.com/tatyam-prime/SortedSet/blob/main/SortedSet.py
import math
from sys import stdin
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 = map(int, input().split())
lst = (N + 2) * (N + 2) + N + 1
S = SortedSet([lst])
for _ in range(Q):
query = list(map(int, stdin.readline().split()))
if query[0] == 1:
L, R = query[1], query[2]
v = S.ge(L * (N + 2))
l, r = v % (N + 2), v // (N + 2)
while l <= R:
L = min(L, l)
R = max(R, r)
S.discard(v)
v = S.ge(L * (N + 2))
l, r = v % (N + 2), v // (N + 2)
S.add(R * (N + 2) + L)
elif query[0] == 2:
L, R = query[1], query[2]
v = S.ge((L + 1) * (N + 2))
l, r = v % (N + 2), v // (N + 2)
while l < R:
if l < L: S.add(L * (N + 2) + l)
if R < r: S.add(r * (N + 2) + R)
S.discard(v)
v = S.ge((L + 1) * (N + 2))
l, r = v % (N + 2), v // (N + 2)
elif query[0] == 3:
u, v = query[1], query[2]
if u > v : u, v = v, u
tmp = S.ge(u * (N + 2))
l, r = tmp % (N + 2), tmp // (N + 2)
if l <= u and v <= r:
print(1)
else:
print(0)
else:
v = query[1]
tmp = S.gt(v * (N + 2))
l, r = tmp % (N + 2), tmp // (N + 2)
if l <= v and v <= r:
print(r - l + 1)
else:
print(1)