結果

問題 No.2665 Minimize Inversions of Deque
ユーザー nikoro256nikoro256
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
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ソースコード

diff #
プレゼンテーションモードにする

# https://github.com/tatyam-prime/SortedSet/blob/main/SortedMultiset.py
import math
from bisect import bisect_left, bisect_right
from typing import Generic, Iterable, Iterator, List, Tuple, TypeVar, Optional
T = TypeVar('T')
class SortedMultiset(Generic[T]):
BUCKET_RATIO = 50
REBUILD_RATIO = 170
def _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 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 "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]: break
return (a, 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 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 = 1
return
a, i = self._position(x)
a.insert(i, x)
self.size += 1
if 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 -= 1
if not a: self._build()
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, i = self._position(x)
if i == len(a) or a[i] != x: return False
self._pop(a, i)
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, 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 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 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 collections import deque
T=int(input())
for _ in range(T):
N=int(input())
P=list(map(int,input().split()))
smt=SortedMultiset()
dq=deque()
ans=0
for i in range(N):
if len(dq)==0:
dq.append(P[i])
smt.add(P[i])
continue
small=smt.index(P[i])
big=len(smt)-small
if big>small:
ans+=small
dq.appendleft(P[i])
elif big==small:
ans+=big
if dq[0]<P[i]:
dq.append(P[i])
else:
dq.appendleft(P[i])
else:
ans+=big
dq.append(P[i])
smt.add(P[i])
print(ans)
print(' '.join([str(x) for x in dq]))
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