#948539 (PyPy3) No.738 平らな農地

提出ソース

結果

問題	No.738 平らな農地
ユーザー	rlangevin
提出日時	2024-02-07 12:06:59
言語	PyPy3 (7.3.15)
結果	AC
実行時間	551 ms / 2,000 ms
コード長	6,326 bytes
コンパイル時間	496 ms
コンパイル使用メモリ	81,948 KB
実行使用メモリ	118,428 KB
最終ジャッジ日時	2024-09-28 12:27:55
合計ジャッジ時間	31,852 ms
ジャッジサーバーID （参考情報）	judge3 / judge2

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	69 ms 69,376 KB
testcase_01	AC	68 ms 68,992 KB
testcase_02	AC	68 ms 68,864 KB
testcase_03	AC	69 ms 69,248 KB
testcase_04	AC	71 ms 69,120 KB
testcase_05	AC	175 ms 80,384 KB
testcase_06	AC	156 ms 80,824 KB
testcase_07	AC	152 ms 79,592 KB
testcase_08	AC	125 ms 78,976 KB
testcase_09	AC	101 ms 78,592 KB
testcase_10	AC	92 ms 77,912 KB
testcase_11	AC	125 ms 78,720 KB
testcase_12	AC	102 ms 78,060 KB
testcase_13	AC	150 ms 79,052 KB
testcase_14	AC	108 ms 77,960 KB
testcase_15	AC	480 ms 104,820 KB
testcase_16	AC	511 ms 108,512 KB
testcase_17	AC	498 ms 108,260 KB
testcase_18	AC	488 ms 104,700 KB
testcase_19	AC	486 ms 108,812 KB
testcase_20	AC	482 ms 108,516 KB
testcase_21	AC	550 ms 108,956 KB
testcase_22	AC	490 ms 108,632 KB
testcase_23	AC	525 ms 108,460 KB
testcase_24	AC	510 ms 108,248 KB
testcase_25	AC	110 ms 78,336 KB
testcase_26	AC	112 ms 78,208 KB
testcase_27	AC	111 ms 78,964 KB
testcase_28	AC	110 ms 78,164 KB
testcase_29	AC	112 ms 78,404 KB
testcase_30	AC	113 ms 78,700 KB
testcase_31	AC	108 ms 78,176 KB
testcase_32	AC	108 ms 78,464 KB
testcase_33	AC	108 ms 78,344 KB
testcase_34	AC	106 ms 78,464 KB
testcase_35	AC	105 ms 78,708 KB
testcase_36	AC	108 ms 78,328 KB
testcase_37	AC	109 ms 78,208 KB
testcase_38	AC	110 ms 78,296 KB
testcase_39	AC	113 ms 78,208 KB
testcase_40	AC	111 ms 78,580 KB
testcase_41	AC	112 ms 78,080 KB
testcase_42	AC	108 ms 78,208 KB
testcase_43	AC	107 ms 78,336 KB
testcase_44	AC	109 ms 78,208 KB
testcase_45	AC	481 ms 111,104 KB
testcase_46	AC	473 ms 106,704 KB
testcase_47	AC	508 ms 110,176 KB
testcase_48	AC	482 ms 109,988 KB
testcase_49	AC	480 ms 109,120 KB
testcase_50	AC	478 ms 110,560 KB
testcase_51	AC	508 ms 110,284 KB
testcase_52	AC	472 ms 108,700 KB
testcase_53	AC	478 ms 109,948 KB
testcase_54	AC	496 ms 110,452 KB
testcase_55	AC	500 ms 110,316 KB
testcase_56	AC	521 ms 110,716 KB
testcase_57	AC	488 ms 106,132 KB
testcase_58	AC	520 ms 110,020 KB
testcase_59	AC	512 ms 110,932 KB
testcase_60	AC	493 ms 110,616 KB
testcase_61	AC	506 ms 110,820 KB
testcase_62	AC	551 ms 106,580 KB
testcase_63	AC	508 ms 110,804 KB
testcase_64	AC	493 ms 110,952 KB
testcase_65	AC	331 ms 108,252 KB
testcase_66	AC	331 ms 108,464 KB
testcase_67	AC	367 ms 113,504 KB
testcase_68	AC	382 ms 117,660 KB
testcase_69	AC	513 ms 118,428 KB
testcase_70	AC	477 ms 111,312 KB
testcase_71	AC	334 ms 96,332 KB
testcase_72	AC	333 ms 99,836 KB
testcase_73	AC	317 ms 102,060 KB
testcase_74	AC	329 ms 102,264 KB
testcase_75	AC	433 ms 113,752 KB
testcase_76	AC	484 ms 118,072 KB
testcase_77	AC	476 ms 113,988 KB
testcase_78	AC	473 ms 111,252 KB
testcase_79	AC	446 ms 111,716 KB
testcase_80	AC	429 ms 118,396 KB
testcase_81	AC	442 ms 117,724 KB
testcase_82	AC	476 ms 117,852 KB
testcase_83	AC	480 ms 100,224 KB
testcase_84	AC	394 ms 100,480 KB
testcase_85	AC	439 ms 117,244 KB
testcase_86	AC	413 ms 112,416 KB
testcase_87	AC	324 ms 116,720 KB
testcase_88	AC	312 ms 112,520 KB
testcase_89	AC	70 ms 69,248 KB
testcase_90	AC	70 ms 68,992 KB
testcase_91	AC	68 ms 69,120 KB

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ソースコード

raw source code

import sys
input = sys.stdin.readline

# 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 = 16
    SPLIT_RATIO = 24
    
    def __init__(self, a: Iterable[T] = []) -> None:
        "Make a new SortedMultiset from iterable. / O(N) if sorted / O(N log N)"
        a = list(a)
        n = self.size = len(a)
        if any(a[i] > a[i + 1] for i in range(n - 1)):
            a.sort()
        bucket_size = int(math.ceil(math.sqrt(n / self.BUCKET_RATIO)))
        self.a = [a[n * i // bucket_size : n * (i + 1) // bucket_size] for i in range(bucket_size)]

    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, 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 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, b, i = self._position(x)
        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:]]
    
    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) -> 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 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
    
    
class Fenwick_Tree:
    def __init__(self, n):
        self._n = n
        self.data = [0] * n
 
    def add(self, p, x):
        assert 0 <= p < self._n
        p += 1
        while p <= self._n:
            self.data[p - 1] += x
            p += p & -p
 
    def sum(self, l, r):
        assert 0 <= l <= r <= self._n
        return self._sum(r) - self._sum(l)
 
    def _sum(self, r):
        s = 0
        while r > 0:
            s += self.data[r - 1]
            r -= r & -r
        return s
    
    
from bisect import *
from copy import *
def compress(lst):
    B = []
    D = dict()
    vals = deepcopy(lst)
    vals = list(set(vals))
    vals.sort()
    for i in range(len(lst)):
        ind = bisect_left(vals, lst[i])
        B.append(ind)
    for i in range(len(B)):
        D[lst[i]] = B[i]
    return B, D, vals


N, K = map(int, input().split())
A = list(map(int, input().split())) + [-1]
A, _, itov = compress(A)
S = SortedMultiset()
Ts = Fenwick_Tree(N + 5)
Tn = Fenwick_Tree(N + 5)
for i in range(K):
    S.add(A[i])
    Ts.add(A[i], itov[A[i]])
    Tn.add(A[i], 1)
    
ind = S[K//2]
ans = Ts.sum(ind + 1, N + 5) - Ts.sum(0, ind) + itov[ind] * (Tn.sum(0, ind) - Tn.sum(ind+1, N + 5))
for i in range(K, N):
    S.discard(A[i - K])
    S.add(A[i])
    Ts.add(A[i-K], -itov[A[i-K]])
    Ts.add(A[i], itov[A[i]])
    Tn.add(A[i-K], -1)
    Tn.add(A[i], 1)
    ind = S[K//2]
    val = itov[ind]
    ans = min(ans, Ts.sum(ind + 1, N + 5) - Ts.sum(0, ind) + val * (Tn.sum(0, ind) - Tn.sum(ind+1, N + 5)))
 
print(ans)

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結果

テストケース

ソースコード