結果
問題 | No.2549 Paint Eggs |
ユーザー | McGregorsh |
提出日時 | 2023-12-20 22:00:30 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 985 ms / 2,000 ms |
コード長 | 12,742 bytes |
コンパイル時間 | 466 ms |
コンパイル使用メモリ | 81,828 KB |
実行使用メモリ | 145,340 KB |
最終ジャッジ日時 | 2023-12-20 22:01:02 |
合計ジャッジ時間 | 32,269 ms |
ジャッジサーバーID (参考情報) |
judge15 / judge14 |
(要ログイン)
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 | 180 ms
91,192 KB |
testcase_01 | AC | 194 ms
91,448 KB |
testcase_02 | AC | 169 ms
91,064 KB |
testcase_03 | AC | 180 ms
91,192 KB |
testcase_04 | AC | 171 ms
91,192 KB |
testcase_05 | AC | 187 ms
91,448 KB |
testcase_06 | AC | 204 ms
91,576 KB |
testcase_07 | AC | 181 ms
91,192 KB |
testcase_08 | AC | 192 ms
90,936 KB |
testcase_09 | AC | 188 ms
91,448 KB |
testcase_10 | AC | 533 ms
133,476 KB |
testcase_11 | AC | 669 ms
145,340 KB |
testcase_12 | AC | 597 ms
119,016 KB |
testcase_13 | AC | 616 ms
129,244 KB |
testcase_14 | AC | 480 ms
128,880 KB |
testcase_15 | AC | 346 ms
94,264 KB |
testcase_16 | AC | 531 ms
120,680 KB |
testcase_17 | AC | 549 ms
117,688 KB |
testcase_18 | AC | 427 ms
115,768 KB |
testcase_19 | AC | 564 ms
120,376 KB |
testcase_20 | AC | 752 ms
140,644 KB |
testcase_21 | AC | 790 ms
140,572 KB |
testcase_22 | AC | 904 ms
140,644 KB |
testcase_23 | AC | 831 ms
140,580 KB |
testcase_24 | AC | 985 ms
140,644 KB |
testcase_25 | AC | 493 ms
141,184 KB |
testcase_26 | AC | 523 ms
140,416 KB |
testcase_27 | AC | 585 ms
140,648 KB |
testcase_28 | AC | 909 ms
140,416 KB |
testcase_29 | AC | 702 ms
140,580 KB |
testcase_30 | AC | 904 ms
140,648 KB |
testcase_31 | AC | 675 ms
140,644 KB |
testcase_32 | AC | 746 ms
141,180 KB |
testcase_33 | AC | 698 ms
140,648 KB |
testcase_34 | AC | 579 ms
140,412 KB |
testcase_35 | AC | 953 ms
141,168 KB |
testcase_36 | AC | 846 ms
140,648 KB |
testcase_37 | AC | 741 ms
140,648 KB |
testcase_38 | AC | 607 ms
140,572 KB |
testcase_39 | AC | 716 ms
140,644 KB |
testcase_40 | AC | 917 ms
140,752 KB |
testcase_41 | AC | 883 ms
140,676 KB |
testcase_42 | AC | 907 ms
140,688 KB |
testcase_43 | AC | 907 ms
140,672 KB |
testcase_44 | AC | 914 ms
140,680 KB |
ソースコード
import sys if sys.platform =='ios': import clipboard a=clipboard.get() a = a.split('\n') text = '\n'.join(a) with open('input_file.txt','w') as f: f.write(text) sys.stdin = open('input_file.txt') 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 min(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 = float('inf') # 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 = 99824353 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 from sys import stdin from fractions import Fraction import math 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, lru_cache from decimal import Decimal, getcontext, ROUND_HALF_UP def i_input(): return int(stdin.readline()) def i_map(): return map(int, stdin.readline().split()) def i_list(): return list(i_map()) def s_input(): return stdin.readline()[:-1] def s_map(): return s_input().split() def s_list(): return list(s_map()) 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 alpa = 'abcdefghijklmnopqrstuvwxyz' ALPA = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ' def main(): N, M, K = i_map() C = i_list() A = i_list() cou = [0] * (M+1) for i in range(1, M+1): cou[i] = A[i-1] * K for i in range(K): cou[C[i]] -= A[C[i]-1] ans = INF seg = SegTree(cou, segfunc, ide_ele) ans = min(ans, seg.query(1, M+1)) for i in range(K, N): newcolor = C[i]-1 delcolor = C[i-K]-1 s1 = seg.query(C[i], C[i]+1) s2 = seg.query(C[i-K], C[i-K]+1) score1 = s1 - A[newcolor] score2 = s2 + A[delcolor] seg.update(C[i], score1) seg.update(C[i-K], score2) score = seg.query(1, M+1) #print(score) ans = min(ans, score) print(ans) if __name__ == '__main__': main()