結果
| 問題 | No.1332 Range Nearest Query |
| ユーザー |
 rlangevin
|
| 提出日時 | 2023-11-15 12:14:03 |
| 言語 | PyPy3 (7.3.15) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 5,651 bytes |
| コンパイル時間 | 791 ms |
| コンパイル使用メモリ | 81,700 KB |
| 実行使用メモリ | 125,084 KB |
| 最終ジャッジ日時 | 2023-11-15 12:14:16 |
| 合計ジャッジ時間 | 12,169 ms |
|
ジャッジサーバーID （参考情報） |
judge15 / judge13 |
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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 | 66 ms
67,724 KB |
| testcase_01 | AC | 64 ms
67,724 KB |
| testcase_02 | AC | 66 ms
67,724 KB |
| testcase_03 | TLE | - |
| testcase_04 | -- | - |
| testcase_05 | -- | - |
| testcase_06 | -- | - |
| testcase_07 | -- | - |
| testcase_08 | -- | - |
| testcase_09 | -- | - |
| testcase_10 | -- | - |
| testcase_11 | -- | - |
| testcase_12 | -- | - |
| testcase_13 | -- | - |
| testcase_14 | -- | - |
| testcase_15 | -- | - |
| testcase_16 | -- | - |
| testcase_17 | -- | - |
| testcase_18 | -- | - |
| testcase_19 | -- | - |
| testcase_20 | -- | - |
| testcase_21 | -- | - |
| testcase_22 | -- | - |
| testcase_23 | -- | - |
| testcase_24 | -- | - |
| testcase_25 | -- | - |
| testcase_26 | -- | - |
| testcase_27 | -- | - |
| testcase_28 | -- | - |
| testcase_29 | -- | - |
| testcase_30 | -- | - |
| testcase_31 | -- | - |
| testcase_32 | -- | - |
| testcase_33 | -- | - |
| testcase_34 | -- | - |
| testcase_35 | -- | - |
| testcase_36 | -- | - |
| testcase_37 | -- | - |
| testcase_38 | -- | - |
| testcase_39 | -- | - |
| testcase_40 | -- | - |
| testcase_41 | -- | - |
| testcase_42 | -- | - |
| testcase_43 | -- | - |
| testcase_44 | -- | - |
| testcase_45 | -- | - |
| testcase_46 | -- | - |
| testcase_47 | -- | - |
ソースコード
import sys
input = sys.stdin.readline
# 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, Union, 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) -> Union[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) -> Union[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) -> Union[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) -> Union[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, 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
################################
from math import sqrt, ceil
M = 10 ** 9 + 5
def encode(l, r, x, ind):
return (r * N * M + l * M + x) * Q + ind
def decode(v):
ind = v % Q
v //= Q
x = v % M
v //= M
r, l = divmod(v, N)
return l, r, x, ind
N = int(input())
X = list(map(int, input().split()))
B = ceil(sqrt(N))
query = [[] for _ in range(N//B + 1)]
Q = int(input())
for i in range(Q):
l, r, x = map(int, input().split())
l, r = l - 1 , r - 1
query[l//B].append(encode(l, r, x, i))
for i in range(N//B + 1):
if i % 2:
query[i].sort(reverse=True)
else:
query[i].sort()
SS = SortedSet()
inf = 10 ** 18
SS.add(inf)
SS.add(-inf)
nowL, nowR = 0, 0
SS.add(X[0])
ans = [-1] * Q
for q in range(N//B + 1):
for v in query[q]:
l, r, x, ind = decode(v)
while nowL < l:
SS.discard(X[nowL])
nowL += 1
while nowL > l:
nowL -= 1
SS.add(X[nowL])
while nowR < r:
nowR += 1
SS.add(X[nowR])
while nowR > r:
SS.discard(X[nowL])
nowR -= 1
u = SS.ge(x)
d = SS.le(x)
ans[ind] = min(u-x, x-d)
for a in ans:
print(a)