結果
| 問題 |
No.3134 二分探索木
|
| コンテスト | |
| ユーザー |
 kidodesu
|
| 提出日時 | 2025-05-02 22:09:55 |
| 言語 | PyPy3 (7.3.15) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 6,105 bytes |
| コンパイル時間 | 430 ms |
| コンパイル使用メモリ | 82,912 KB |
| 実行使用メモリ | 234,860 KB |
| 最終ジャッジ日時 | 2025-05-02 22:10:15 |
| 合計ジャッジ時間 | 13,994 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge2 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 5 |
| other | AC * 12 TLE * 3 |
ソースコード
# 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
T = TypeVar('T')
class SortedSet(Generic[T]):
BUCKET_RATIO = 16
SPLIT_RATIO = 24
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)
n = len(a)
if any(a[i] > a[i + 1] for i in range(n - 1)):
a.sort()
if any(a[i] >= a[i + 1] for i in range(n - 1)):
a, b = [], a
for x in b:
if not a or a[-1] != x:
a.append(x)
n = self.size = len(a)
num_bucket = int(math.ceil(math.sqrt(n / self.BUCKET_RATIO)))
self.a = [a[n * i // num_bucket : n * (i + 1) // num_bucket] for i in range(num_bucket)]
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 __eq__(self, other) -> bool:
return list(self) == list(other)
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 _position(self, x: T) -> tuple[list[T], int, int]:
"return the bucket, index of the bucket and position in which x should be. self must not be empty."
for i, a in enumerate(self.a):
if x <= a[-1]: break
return (a, i, bisect_left(a, x))
def __contains__(self, x: T) -> bool:
if self.size == 0: return False
a, _, i = self._position(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, b, i = self._position(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.SPLIT_RATIO:
mid = len(a) >> 1
self.a[b:b+1] = [a[:mid], a[mid:]]
return True
def _pop(self, a: list[T], b: int, i: int) -> T:
ans = a.pop(i)
self.size -= 1
if not a: del self.a[b]
return ans
def discard(self, x: T) -> bool:
"Remove an element and return True if removed. / O(√N)"
if self.size == 0: return False
a, b, i = self._position(x)
if i == len(a) or a[i] != x: return False
self._pop(a, b, i)
return True
def lt(self, x: T) -> T | None:
"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) -> T | None:
"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) -> T | None:
"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) -> T | None:
"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, i: int) -> T:
"Return the i-th element."
if i < 0:
for a in reversed(self.a):
i += len(a)
if i >= 0: return a[i]
else:
for a in self.a:
if i < len(a): return a[i]
i -= len(a)
raise IndexError
def pop(self, i: int = -1) -> T:
"Pop and return the i-th element."
if i < 0:
for b, a in enumerate(reversed(self.a)):
i += len(a)
if i >= 0: return self._pop(a, ~b, i)
else:
for b, a in enumerate(self.a):
if i < len(a): return self._pop(a, b, i)
i -= 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 = int(input())
A = list(map(int, input().split()))
lst = [[-1, -1, -1] for _ in range(n)]
id = 0
N = [[] for _ in range(n)]
R = [[] for _ in range(n)]
lst[0][0] = A[0]
id = 1
D = {A[i]: i for i in range(n)}
F = {A[0]: (0, 0)}
O = SortedSet([])
O.add(A[0])
from bisect import *
for i in range(1, n):
a = A[i]
ind = bisect(O, a)
c0 = (-1, -1)
c1 = (-1, -1)
if 0 <= ind-1 < len(O):
a0 = O[ind-1]
c0 = F[a0]
if 0 <= ind < len(O):
a1 = O[ind]
c1 = F[a1]
if c0[0] < c1[0]:
now = c1[1]
le = c1[0]
else:
now = c0[1]
le = c0[0]
pa, l, r = lst[now]
if pa < a:
N[D[pa]].append(i)
R[i].append(D[pa])
lst[now][2] = id
lst[id][0] = a
id += 1
else:
N[D[pa]].append(i)
R[i].append(D[pa])
lst[now][1] = id
lst[id][0] = a
id += 1
O.add(a)
F[a] = (le + 1, id-1)
B = [0] * n
C = [1] * n
S = [0]
E = []
while S:
now = S.pop()
E.append(now)
for nxt in N[now]:
B[nxt] = B[now] + 1
S.append(nxt)
for e in E[::-1]:
for nxt in R[e]:
C[nxt] += C[e]
for i in range(n):
C[i] -= 1
print(*B)
print(*C)