結果
問題 | No.2665 Minimize Inversions of Deque |
ユーザー | nikoro256 |
提出日時 | 2024-03-08 21:55:25 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 509 ms / 2,000 ms |
コード長 | 5,536 bytes |
コンパイル時間 | 281 ms |
コンパイル使用メモリ | 82,516 KB |
実行使用メモリ | 130,024 KB |
最終ジャッジ日時 | 2024-09-29 19:34:54 |
合計ジャッジ時間 | 14,645 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge4 |
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ファイルパターン | 結果 |
---|---|
other | AC * 40 |
ソースコード
# https://github.com/tatyam-prime/SortedSet/blob/main/SortedMultiset.pyimport mathfrom bisect import bisect_left, bisect_rightfrom typing import Generic, Iterable, Iterator, List, Tuple, TypeVar, OptionalT = TypeVar('T')class SortedMultiset(Generic[T]):BUCKET_RATIO = 50REBUILD_RATIO = 170def _build(self, a: Optional[List[T]] = None) -> None:"Evenly divide `a` into buckets."if a is None: a = list(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 SortedMultiset from iterable. / O(N) if sorted / O(N log N)"a = list(a)self.size = len(a)if not all(a[i] <= a[i + 1] for i in range(len(a) - 1)):a = sorted(a)self._build(a)def __iter__(self) -> Iterator[T]:for i in self.a:for j in i: yield jdef __reversed__(self) -> Iterator[T]:for i in reversed(self.a):for j in reversed(i): yield jdef __eq__(self, other) -> bool:return list(self) == list(other)def __len__(self) -> int:return self.sizedef __repr__(self) -> str:return "SortedMultiset" + 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]:"Find the bucket and position which x should be inserted. self must not be empty."for a in self.a:if x <= a[-1]: breakreturn (a, bisect_left(a, x))def __contains__(self, x: T) -> bool:if self.size == 0: return Falsea, i = self._position(x)return i != len(a) and a[i] == xdef count(self, x: T) -> int:"Count the number of x."return self.index_right(x) - self.index(x)def add(self, x: T) -> None:"Add an element. / O(√N)"if self.size == 0:self.a = [[x]]self.size = 1returna, i = self._position(x)a.insert(i, x)self.size += 1if len(a) > len(self.a) * self.REBUILD_RATIO:self._build()def _pop(self, a: List[T], i: int) -> T:ans = a.pop(i)self.size -= 1if not a: self._build()return ansdef discard(self, x: T) -> bool:"Remove an element and return True if removed. / O(√N)"if self.size == 0: return Falsea, i = self._position(x)if i == len(a) or a[i] != x: return Falseself._pop(a, i)return Truedef 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, 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 IndexErrordef pop(self, i: int = -1) -> T:"Pop and return the i-th element."if i < 0:for a in reversed(self.a):i += len(a)if i >= 0: return self._pop(a, i)else:for a in self.a:if i < len(a): return self._pop(a, i)i -= len(a)raise IndexErrordef index(self, x: T) -> int:"Count the number of elements < x."ans = 0for a in self.a:if a[-1] >= x:return ans + bisect_left(a, x)ans += len(a)return ansdef index_right(self, x: T) -> int:"Count the number of elements <= x."ans = 0for a in self.a:if a[-1] > x:return ans + bisect_right(a, x)ans += len(a)return ansfrom collections import dequeT=int(input())for _ in range(T):N=int(input())P=list(map(int,input().split()))smt=SortedMultiset()dq=deque()ans=0for i in range(N):if len(dq)==0:dq.append(P[i])smt.add(P[i])continuesmall=smt.index(P[i])big=len(smt)-smallif big>small:ans+=smalldq.appendleft(P[i])elif big==small:ans+=bigif dq[0]<P[i]:dq.append(P[i])else:dq.appendleft(P[i])else:ans+=bigdq.append(P[i])smt.add(P[i])print(ans)print(' '.join([str(x) for x in dq]))