結果

問題 No.3303 Heal Slimes 2
ユーザー detteiuu
提出日時 2025-10-05 15:27:49
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 956 ms / 4,000 ms
コード長 6,335 bytes
コンパイル時間 329 ms
コンパイル使用メモリ 82,476 KB
実行使用メモリ 138,440 KB
最終ジャッジ日時 2025-10-06 12:47:55
合計ジャッジ時間 22,391 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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ファイルパターン 結果
other AC * 31
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ソースコード

diff # 

# 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()
        num_bucket = int(math.ceil(math.sqrt(n / self.BUCKET_RATIO)))
        self.a = [a[n * i // num_bucket : n * (i + 1) // num_bucket] for i in range(num_bucket)]

    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 BIT:
    def __init__(self, A):
        self.size = len(A)
        self.bit = [0]*(len(A)+1)
        for i in range(len(A)):
            self.add(i, A[i])

    def sum(self, i):
        i += 1
        ans = 0
        while i > 0:
            ans += self.bit[i]
            i -= -i&i
        return ans
    
    def query(self, l, r):
        if l == 0:
            return self.sum(r-1)
        else:
            return self.sum(r-1)-self.sum(l-1)
    
    def add(self, i, x):
        i += 1
        while i <= self.size:
            self.bit[i] += x
            i += -i&i

N, K, D = map(int, input().split())
H = list(map(int, input().split()))

S = SortedMultiset()
A = []
B = []
for i in range(N-K+1):
    if i == 0:
        for j in range(K):
            S.add(H[j]-D)
            S.add(H[j])
    else:
        S.discard(H[i-1]-D)
        S.discard(H[i-1])
        S.add(H[i+K-1]-D)
        S.add(H[i+K-1])
    mid = S[len(S)//2-1]
    A.append((i, i+K, mid))
    B.append((i, i+K, mid+D))
A.sort(key=lambda x:x[2])
B.sort(key=lambda x:x[2], reverse=True)

H = sorted(enumerate(H), key=lambda x:x[1])
ans = [0]*(N-K+1)
F = BIT([0]*N)
FC = BIT([0]*N)
idx = 0
for l, r, n in A:
    while idx < N and H[idx][1] <= n:
        F.add(H[idx][0], H[idx][1])
        FC.add(H[idx][0], 1)
        idx += 1
    ans[l] += n*FC.query(l, r)-F.query(l, r)
idx = N-1
F = BIT([0]*N)
FC = BIT([0]*N)
for l, r, n in B:
    while 0 <= idx and n <= H[idx][1]:
        F.add(H[idx][0], H[idx][1])
        FC.add(H[idx][0], 1)
        idx -= 1
    ans[l] += F.query(l, r)-n*FC.query(l, r)

print(min(ans))
0