#890387 (PyPy3) No.2404 Vertical Throw Up

提出ソース

結果

問題	No.2404 Vertical Throw Up
ユーザー	👑 獅子座じゃない人
提出日時	2023-07-13 23:57:46
言語	PyPy3 (7.3.15)
結果	AC
実行時間	611 ms / 2,000 ms
コード長	6,892 bytes
コンパイル時間	362 ms
コンパイル使用メモリ	86,964 KB
実行使用メモリ	88,564 KB
最終ジャッジ日時	2023-10-13 12:28:38
合計ジャッジ時間	11,513 ms
ジャッジサーバーID （参考情報）	judge12 / judge15

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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	166 ms 79,984 KB
testcase_01	AC	158 ms 80,288 KB
testcase_02	AC	163 ms 80,328 KB
testcase_03	AC	561 ms 88,564 KB
testcase_04	AC	543 ms 85,512 KB
testcase_05	AC	605 ms 86,424 KB
testcase_06	AC	172 ms 80,828 KB
testcase_07	AC	611 ms 88,200 KB
testcase_08	AC	560 ms 86,156 KB
testcase_09	AC	482 ms 85,796 KB
testcase_10	AC	374 ms 86,360 KB
testcase_11	AC	425 ms 87,812 KB
testcase_12	AC	392 ms 86,684 KB
testcase_13	AC	182 ms 81,368 KB
testcase_14	AC	188 ms 81,452 KB
testcase_15	AC	187 ms 81,344 KB
testcase_16	AC	185 ms 81,384 KB
testcase_17	AC	195 ms 81,400 KB
testcase_18	AC	200 ms 81,720 KB
testcase_19	AC	182 ms 81,456 KB
testcase_20	AC	185 ms 81,584 KB
testcase_21	AC	198 ms 81,572 KB
testcase_22	AC	184 ms 81,396 KB
testcase_23	AC	178 ms 81,480 KB
testcase_24	AC	190 ms 81,588 KB
testcase_25	AC	178 ms 81,364 KB
testcase_26	AC	191 ms 81,528 KB
testcase_27	AC	196 ms 81,652 KB
testcase_28	AC	177 ms 81,476 KB
testcase_29	AC	173 ms 81,104 KB
testcase_30	AC	173 ms 80,824 KB
testcase_31	AC	187 ms 81,184 KB
testcase_32	AC	174 ms 81,288 KB

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ソースコード

raw source code

# https://github.com/tatyam-prime/SortedSet/blob/main/SortedSet.py
import math
from bisect import bisect_left, bisect_right
from typing import Generic, Iterable, Iterator, List, Tuple, TypeVar, Optional
T = TypeVar('T')

class SortedSet(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 SortedSet from iterable. / O(N) if sorted and unique / 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(set(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 "SortedSet" + 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 add(self, x: T) -> bool:
        "Add an element and return True if added. / O(√N)"
        if self.size == 0:
            self.a = [[x]]
            self.size = 1
            return True
        a, i = self._position(x)
        if i != len(a) and a[i] == x: return False
        a.insert(i, x)
        self.size += 1
        if len(a) > len(self.a) * self.REBUILD_RATIO:
            self._build()
        return True

    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
# SortedSet up to here

class cht():
    __as=SortedSet([-1,5*10**10])
    __bs={-1:-2*10**18, 5*10**10:-9*10**18}
    def __tmax(self, a1:int, b1:int, a2:int, b2:int) -> int:
        assert a1<a2
        return (b1-b2)//(a2-a1)
    def __need(self, a1:int, b1:int, a2:int, b2:int, a3:int, b3:int) -> bool:
        assert a1<a2 and a2<a3
        return self.__tmax(a1,b1,a2,b2)<self.__tmax(a2,b2,a3,b3)
    def __h(self, t:int, index:int) -> int:
        return self.__as[index]*t+self.__bs[self.__as[index]]
    def add(self, a:int, b:int) -> None:
        if a in self.__as:
            if self.__bs[a]>b:
                return
            else:
                self.__bs.pop(a)
                self.__as.discard(a)
        next=self.__as.gt(a)
        prev=self.__as.lt(a)
        if not self.__need(prev,self.__bs[prev],a,b,next,self.__bs[next]):
            return
        self.__as.add(a)
        self.__bs[a]=b
        index=self.__as.index(a)
        if index+2<len(self.__as):
            while not self.__need(self.__as[index],self.__bs[self.__as[index]],self.__as[index+1],self.__bs[self.__as[index+1]],self.__as[index+2],self.__bs[self.__as[index+2]]):
                self.__bs.pop(self.__as[index+1])
                self.__as.pop(index+1)
                if index+2>=len(self.__as):
                    break
        if index-2>=0:
            while not self.__need(self.__as[index-2],self.__bs[self.__as[index-2]],self.__as[index-1],self.__bs[self.__as[index-1]],self.__as[index],self.__bs[self.__as[index]]):
                self.__bs.pop(self.__as[index-1])
                self.__as.pop(index-1)
                index-=1
                if index-2<0:
                    break
    def max(self, t:int) -> int:
        while(self.__h(t,1)<self.__h(t,2)):
            self.__bs.pop(self.__as[1])
            self.__as.pop(1)
        return self.__h(t,1)

a=int(input())
q=int(input())
l=cht()
for _ in range(q):
    query=input()
    if query[0]=="1":
        _,s,t=map(int,query.split())
        l.add(a*(s+t),-a*s*t)
    else:
        _,t=map(int,query.split())
        lmax=l.max(t)
        print(max(lmax-a*t*t,0))

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結果

テストケース

ソースコード