結果
問題 | No.871 かえるのうた |
ユーザー | McGregorsh |
提出日時 | 2023-05-17 12:06:28 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 607 ms / 2,000 ms |
コード長 | 12,864 bytes |
コンパイル時間 | 648 ms |
コンパイル使用メモリ | 86,900 KB |
実行使用メモリ | 118,424 KB |
最終ジャッジ日時 | 2023-08-21 17:29:07 |
合計ジャッジ時間 | 19,533 ms |
ジャッジサーバーID (参考情報) |
judge11 / judge12 |
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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 | 251 ms
86,740 KB |
testcase_01 | AC | 255 ms
86,784 KB |
testcase_02 | AC | 254 ms
86,872 KB |
testcase_03 | AC | 253 ms
86,752 KB |
testcase_04 | AC | 253 ms
86,540 KB |
testcase_05 | AC | 253 ms
86,528 KB |
testcase_06 | AC | 258 ms
86,432 KB |
testcase_07 | AC | 254 ms
86,616 KB |
testcase_08 | AC | 259 ms
87,556 KB |
testcase_09 | AC | 268 ms
87,540 KB |
testcase_10 | AC | 268 ms
87,448 KB |
testcase_11 | AC | 260 ms
87,432 KB |
testcase_12 | AC | 273 ms
89,292 KB |
testcase_13 | AC | 271 ms
87,428 KB |
testcase_14 | AC | 303 ms
108,544 KB |
testcase_15 | AC | 310 ms
108,488 KB |
testcase_16 | AC | 607 ms
118,424 KB |
testcase_17 | AC | 301 ms
111,348 KB |
testcase_18 | AC | 262 ms
90,048 KB |
testcase_19 | AC | 343 ms
108,788 KB |
testcase_20 | AC | 350 ms
90,892 KB |
testcase_21 | AC | 342 ms
98,800 KB |
testcase_22 | AC | 255 ms
86,688 KB |
testcase_23 | AC | 252 ms
86,588 KB |
testcase_24 | AC | 257 ms
86,480 KB |
testcase_25 | AC | 285 ms
89,544 KB |
testcase_26 | AC | 307 ms
89,228 KB |
testcase_27 | AC | 266 ms
87,612 KB |
testcase_28 | AC | 253 ms
86,796 KB |
testcase_29 | AC | 281 ms
105,020 KB |
testcase_30 | AC | 480 ms
112,196 KB |
testcase_31 | AC | 259 ms
87,448 KB |
testcase_32 | AC | 417 ms
108,604 KB |
testcase_33 | AC | 329 ms
116,120 KB |
testcase_34 | AC | 264 ms
91,716 KB |
testcase_35 | AC | 288 ms
105,100 KB |
testcase_36 | AC | 290 ms
114,324 KB |
testcase_37 | AC | 382 ms
100,592 KB |
testcase_38 | AC | 516 ms
115,960 KB |
testcase_39 | AC | 459 ms
113,220 KB |
testcase_40 | AC | 477 ms
106,344 KB |
testcase_41 | AC | 252 ms
86,492 KB |
testcase_42 | AC | 378 ms
106,244 KB |
testcase_43 | AC | 255 ms
86,632 KB |
testcase_44 | AC | 253 ms
86,640 KB |
testcase_45 | AC | 298 ms
89,728 KB |
testcase_46 | AC | 256 ms
86,536 KB |
testcase_47 | AC | 254 ms
86,648 KB |
testcase_48 | AC | 259 ms
86,636 KB |
ソースコード
###順序付き多重集合### 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 ###セグメントツリー### #####segfunc##### def segfunc(x, y): return max(x, y) # 最小値 min(x, y) # 最大値 max(x, y) # 区間和 x + y # 区間積 x * y # 最大公約数 math.gcd(x, y) # 排他的論理和 x ^ y ################# #####ide_ele##### ide_ele = 0 # 最小値 float('inf') # 最大値 -float('inf') # 区間和 0 # 区間積 1 # 最大公約数 0 # 排他的論理和 0 ################# class SegTree: """ init(init_val, ide_ele): 配列init_valで初期化 O(N) update(k, x): k番目の値をxに更新 O(logN) query(l, r): 区間[l, r)をsegfuncしたものを返す O(logN) """ def __init__(self, init_val, segfunc, ide_ele): """ init_val: 配列の初期値 segfunc: 区間にしたい操作 ide_ele: 単位元 n: 要素数 num: n以上の最小の2のべき乗 tree: セグメント木(1-index) """ n = len(init_val) self.segfunc = segfunc self.ide_ele = ide_ele self.num = 1 << (n - 1).bit_length() self.tree = [ide_ele] * 2 * self.num # 配列の値を葉にセット for i in range(n): self.tree[self.num + i] = init_val[i] # 構築していく for i in range(self.num - 1, 0, -1): self.tree[i] = self.segfunc(self.tree[2 * i], self.tree[2 * i + 1]) def update(self, k, x): """ k番目の値をxに更新 k: index(0-index) x: update value """ k += self.num self.tree[k] = x while k > 1: self.tree[k >> 1] = self.segfunc(self.tree[k], self.tree[k ^ 1]) k >>= 1 def query(self, l, r): """ [l, r)のsegfuncしたものを得る l: index(0-index) r: index(0-index) """ res = self.ide_ele l += self.num r += self.num while l < r: if l & 1: res = self.segfunc(res, self.tree[l]) l += 1 if r & 1: res = self.segfunc(res, self.tree[r - 1]) l >>= 1 r >>= 1 return res ###UnionFind### class UnionFind: """0-indexed""" def __init__(self, n): self.n = n self.parent = [-1] * n self.__group_count = n # 辺がないとき、連結成分はn個あります def unite(self, x, y): """xとyをマージ""" x = self.root(x) y = self.root(y) if x == y: return 0 self.__group_count -= 1 # 木と木が合体するので、連結成分数が1減ります if self.parent[x] > self.parent[y]: x, y = y, x self.parent[x] += self.parent[y] self.parent[y] = x return self.parent[x] def is_same(self, x, y): """xとyが同じ連結成分か判定""" return self.root(x) == self.root(y) def root(self, x): """xの根を取得""" if self.parent[x] < 0: return x else: self.parent[x] = self.root(self.parent[x]) return self.parent[x] def size(self, x): """xが属する連結成分のサイズを取得""" return -self.parent[self.root(x)] def all_sizes(self) -> List[int]: """全連結成分のサイズのリストを取得 O(N) """ sizes = [] for i in range(self.n): size = self.parent[i] if size < 0: sizes.append(-size) return sizes def groups(self) -> List[List[int]]: """全連結成分の内容のリストを取得 O(N・α(N))""" groups = dict() for i in range(self.n): p = self.root(i) if not groups.get(p): groups[p] = [] groups[p].append(i) return list(groups.values()) def group_count(self) -> int: """連結成分の数を取得 O(1)""" return self.__group_count # 変数を返すだけなので、O(1)です ###素因数分解### def prime_factorize(n: int) -> list: return_list = [] while n % 2 == 0: return_list.append(2) n //= 2 f = 3 while f * f <= n: if n % f == 0: return_list.append(f) n //= f else: f += 2 if n != 1: return_list.append(n) return return_list ###n進数から10進数変換### def base_10(num_n,n): num_10 = 0 for s in str(num_n): num_10 *= n num_10 += int(s) return num_10 ###10進数からn進数変換### def base_n(num_10,n): str_n = '' while num_10: if num_10%n>=10: return -1 str_n += str(num_10%n) num_10 //= n return int(str_n[::-1]) ###複数の数の最大公約数、最小公倍数### from functools import reduce # 最大公約数 def gcd_list(num_list: list) -> int: return reduce(gcd, num_list) # 最小公倍数 def lcm_base(x: int, y: int) -> int: return (x * y) // gcd(x, y) def lcm_list(num_list: list): return reduce(lcm_base, num_list, 1) ###約数列挙### def make_divisors(n): lower_divisors, upper_divisors = [], [] i = 1 while i * i <= n: if n % i == 0: lower_divisors.append(i) if i != n // i: upper_divisors.append(n//i) i += 1 return lower_divisors + upper_divisors[::-1] ###順列### def nPr(n, r): npr = 1 for i in range(n, n-r, -1): npr *= i return npr ###組合せ### def nCr(n, r): factr = 1 r = min(r, n - r) for i in range(r, 1, -1): factr *= i return nPr(n, r)//factr ###組合せMOD### def comb(n,k): nCk = 1 MOD = 998244353 for i in range(n-k+1, n+1): nCk *= i nCk %= MOD for i in range(1,k+1): nCk *= pow(i,MOD-2,MOD) nCk %= MOD return nCk ###回転行列### def RotationMatrix(before_x, before_y, d): d = math.radians(d) new_x = before_x * math.cos(d) - before_y * math.sin(d) new_y = before_x * math.sin(d) + before_y * math.cos(d) return new_x, new_y ###ダイクストラ### def daikusutora(N, G, s): dist = [INF] * N que = [(0, s)] dist[s] = 0 while que: c, v = heappop(que) if dist[v] < c: continue for t, cost in G[v]: if dist[v] + cost < dist[t]: dist[t] = dist[v] + cost heappush(que, (dist[t], t)) return dist import sys, re from fractions import Fraction from math import ceil, floor, sqrt, pi, factorial, gcd from copy import deepcopy from collections import Counter, deque, defaultdict from heapq import heapify, heappop, heappush from itertools import accumulate, product, combinations, combinations_with_replacement, permutations from bisect import bisect, bisect_left, bisect_right from functools import reduce from decimal import Decimal, getcontext, ROUND_HALF_UP def i_input(): return int(input()) def i_map(): return map(int, input().split()) def i_list(): return list(i_map()) def i_row(N): return [i_input() for _ in range(N)] def i_row_list(N): return [i_list() for _ in range(N)] def s_input(): return input() def s_map(): return input().split() def s_list(): return list(s_map()) def s_row(N): return [s_input for _ in range(N)] def s_row_str(N): return [s_list() for _ in range(N)] def s_row_list(N): return [list(s_input()) for _ in range(N)] def lcm(a, b): return a * b // gcd(a, b) def get_distance(x1, y1, x2, y2): d = sqrt((x2 - x1) ** 2 + (y2 - y1) ** 2) return d def rotate(table): n_fild = [] for x in zip(*table[::-1]): n_fild.append(x) return n_fild sys.setrecursionlimit(10 ** 7) INF = float('inf') MOD = 10 ** 9 + 7 MOD2 = 998244353 def main(): N, K = i_map() K -= 1 X = i_list() A = i_list() XP = [0] * N XM = [0] * N for i in range(N): XP[i] = X[i] + A[i] XM[i] = X[i] - A[i] S = SortedMultiset() S.add(XP[K]) S.add(XM[K]) left = K right = K while True: Lp = S.gt(-(10**18)) Rp = S.lt(10**18) nl = left nr = right for i in range(nl-1, -1, -1): if X[i] >= Lp: left -= 1 S.add(XP[i]) S.add(XM[i]) else: break for i in range(nr+1, N): if X[i] <= Rp: right += 1 S.add(XP[i]) S.add(XM[i]) else: break if nl == left and nr == right: print(right - left + 1) exit() if __name__ == '__main__': main()