結果

問題 No.2304 Distinct Elements
ユーザー ShirotsumeShirotsume
提出日時 2023-04-11 02:10:30
言語 PyPy3
(7.3.15)
結果
WA  
実行時間 -
コード長 5,132 bytes
コンパイル時間 173 ms
コンパイル使用メモリ 82,048 KB
実行使用メモリ 133,492 KB
最終ジャッジ日時 2024-04-26 21:28:35
合計ジャッジ時間 16,807 ms
ジャッジサーバーID
(参考情報)
judge2 / judge5
このコードへのチャレンジ
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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 72 ms
67,328 KB
testcase_01 AC 78 ms
67,712 KB
testcase_02 AC 72 ms
67,200 KB
testcase_03 AC 73 ms
67,456 KB
testcase_04 AC 362 ms
125,848 KB
testcase_05 AC 344 ms
126,372 KB
testcase_06 AC 350 ms
126,872 KB
testcase_07 AC 344 ms
126,488 KB
testcase_08 AC 353 ms
126,736 KB
testcase_09 AC 372 ms
122,320 KB
testcase_10 AC 370 ms
122,916 KB
testcase_11 AC 368 ms
122,788 KB
testcase_12 AC 369 ms
121,876 KB
testcase_13 AC 368 ms
122,640 KB
testcase_14 WA -
testcase_15 WA -
testcase_16 WA -
testcase_17 WA -
testcase_18 WA -
testcase_19 AC 66 ms
67,456 KB
testcase_20 WA -
testcase_21 AC 68 ms
67,456 KB
testcase_22 WA -
testcase_23 AC 65 ms
67,328 KB
testcase_24 AC 71 ms
68,352 KB
testcase_25 AC 69 ms
67,840 KB
testcase_26 AC 69 ms
68,352 KB
testcase_27 AC 67 ms
68,056 KB
testcase_28 AC 67 ms
68,224 KB
testcase_29 AC 299 ms
120,844 KB
testcase_30 AC 165 ms
79,976 KB
testcase_31 AC 269 ms
111,084 KB
testcase_32 AC 298 ms
112,540 KB
testcase_33 AC 102 ms
78,592 KB
testcase_34 AC 305 ms
112,448 KB
testcase_35 AC 331 ms
117,320 KB
testcase_36 AC 101 ms
78,720 KB
testcase_37 AC 204 ms
85,760 KB
testcase_38 AC 346 ms
127,268 KB
testcase_39 AC 347 ms
127,116 KB
testcase_40 AC 276 ms
107,564 KB
testcase_41 AC 210 ms
86,656 KB
testcase_42 AC 317 ms
122,808 KB
testcase_43 AC 327 ms
130,176 KB
testcase_44 AC 276 ms
108,452 KB
testcase_45 AC 372 ms
97,876 KB
testcase_46 AC 292 ms
92,872 KB
testcase_47 AC 75 ms
70,656 KB
testcase_48 AC 74 ms
70,912 KB
testcase_49 AC 364 ms
130,224 KB
testcase_50 AC 348 ms
133,492 KB
testcase_51 AC 346 ms
133,224 KB
testcase_52 AC 360 ms
127,180 KB
testcase_53 AC 226 ms
117,564 KB
testcase_54 AC 352 ms
124,784 KB
testcase_55 AC 347 ms
123,576 KB
testcase_56 AC 346 ms
123,376 KB
testcase_57 WA -
testcase_58 AC 383 ms
115,448 KB
testcase_59 WA -
testcase_60 AC 66 ms
67,328 KB
testcase_61 AC 65 ms
67,328 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

import sys
from collections import deque, Counter
input = lambda: sys.stdin.readline().rstrip()
ii = lambda: int(input())
mi = lambda: map(int, input().split())
li = lambda: list(mi())
inf = 2 ** 63 - 1
mod = 998244353
# https://github.com/tatyam-prime/SortedSet/blob/main/SortedMultiset.py
import math
from bisect import bisect_left, bisect_right, insort
from typing import Generic, Iterable, Iterator, TypeVar, Union, List
T = TypeVar('T')

class SortedMultiset(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 SortedMultiset from iterable. / O(N) if sorted / O(N log N)"
        a = list(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 __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 _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 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 = self._find_bucket(x)
        insort(a, x)
        self.size += 1
        if len(a) > len(self.a) * self.REBUILD_RATIO:
            self._build()

    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
n = ii()
a = li()
a.append(-inf)
a.append(inf)
a.sort()
b = [a[i + 1] - a[i] for i in range(n + 1)]
S = SortedMultiset()
zero = []
for i, v in enumerate(b):
    if v == 0:
        zero.append(i)
    elif v > 1:
        S.add((i, v - 1))
ans = 0
for v in zero:
    lefti, leftv = S.le((v, inf))
    righti, rightv = S.ge((v, -inf))
    if abs(lefti - v) < abs(righti - v) or abs(lefti - v) == abs(righti - v) and leftv >= rightv:
        ans += abs(lefti - v)
        S.discard((lefti, leftv))
        if leftv > 1:
            S.add((lefti, leftv - 1))
    else:
        ans += abs(righti - v)
        S.discard((righti, rightv))
        if rightv > 1:
            S.add((righti, rightv - 1))
print(ans)




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