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 | 520 ms / 2,000 ms |
コード長 | 6,892 bytes |
コンパイル時間 | 208 ms |
コンパイル使用メモリ | 82,048 KB |
実行使用メモリ | 82,788 KB |
最終ジャッジ日時 | 2024-09-15 09:22:01 |
合計ジャッジ時間 | 7,429 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge1 |
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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 | 65 ms
67,712 KB |
testcase_01 | AC | 64 ms
67,712 KB |
testcase_02 | AC | 64 ms
68,224 KB |
testcase_03 | AC | 519 ms
81,284 KB |
testcase_04 | AC | 437 ms
81,740 KB |
testcase_05 | AC | 498 ms
82,180 KB |
testcase_06 | AC | 72 ms
69,760 KB |
testcase_07 | AC | 520 ms
82,788 KB |
testcase_08 | AC | 469 ms
81,616 KB |
testcase_09 | AC | 383 ms
80,608 KB |
testcase_10 | AC | 274 ms
80,524 KB |
testcase_11 | AC | 318 ms
80,888 KB |
testcase_12 | AC | 291 ms
81,464 KB |
testcase_13 | AC | 92 ms
77,056 KB |
testcase_14 | AC | 102 ms
77,696 KB |
testcase_15 | AC | 101 ms
77,184 KB |
testcase_16 | AC | 91 ms
77,568 KB |
testcase_17 | AC | 111 ms
77,568 KB |
testcase_18 | AC | 113 ms
77,648 KB |
testcase_19 | AC | 98 ms
77,312 KB |
testcase_20 | AC | 96 ms
77,184 KB |
testcase_21 | AC | 106 ms
77,284 KB |
testcase_22 | AC | 93 ms
77,056 KB |
testcase_23 | AC | 80 ms
73,628 KB |
testcase_24 | AC | 100 ms
77,440 KB |
testcase_25 | AC | 77 ms
73,344 KB |
testcase_26 | AC | 97 ms
77,440 KB |
testcase_27 | AC | 98 ms
77,184 KB |
testcase_28 | AC | 79 ms
73,216 KB |
testcase_29 | AC | 73 ms
71,040 KB |
testcase_30 | AC | 71 ms
69,504 KB |
testcase_31 | AC | 92 ms
77,184 KB |
testcase_32 | AC | 75 ms
71,296 KB |
ソースコード
# 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))