結果
問題 | No.1390 Get together |
ユーザー | McGregorsh |
提出日時 | 2023-05-19 21:34:42 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 633 ms / 2,000 ms |
コード長 | 12,499 bytes |
コンパイル時間 | 1,883 ms |
コンパイル使用メモリ | 86,676 KB |
実行使用メモリ | 120,696 KB |
最終ジャッジ日時 | 2023-08-22 23:38:40 |
合計ジャッジ時間 | 18,591 ms |
ジャッジサーバーID (参考情報) |
judge12 / judge14 |
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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 | 253 ms
86,832 KB |
testcase_01 | AC | 250 ms
86,780 KB |
testcase_02 | AC | 250 ms
86,840 KB |
testcase_03 | AC | 305 ms
89,692 KB |
testcase_04 | AC | 299 ms
89,640 KB |
testcase_05 | AC | 304 ms
90,056 KB |
testcase_06 | AC | 297 ms
89,356 KB |
testcase_07 | AC | 294 ms
89,624 KB |
testcase_08 | AC | 296 ms
89,700 KB |
testcase_09 | AC | 304 ms
89,400 KB |
testcase_10 | AC | 253 ms
86,596 KB |
testcase_11 | AC | 250 ms
86,744 KB |
testcase_12 | AC | 257 ms
86,656 KB |
testcase_13 | AC | 254 ms
86,716 KB |
testcase_14 | AC | 257 ms
86,704 KB |
testcase_15 | AC | 252 ms
86,556 KB |
testcase_16 | AC | 412 ms
108,856 KB |
testcase_17 | AC | 498 ms
120,472 KB |
testcase_18 | AC | 390 ms
105,360 KB |
testcase_19 | AC | 600 ms
115,708 KB |
testcase_20 | AC | 633 ms
120,444 KB |
testcase_21 | AC | 621 ms
120,696 KB |
testcase_22 | AC | 516 ms
112,232 KB |
testcase_23 | AC | 497 ms
112,256 KB |
testcase_24 | AC | 510 ms
112,516 KB |
testcase_25 | AC | 603 ms
116,028 KB |
testcase_26 | AC | 571 ms
115,652 KB |
testcase_27 | AC | 595 ms
116,368 KB |
testcase_28 | AC | 588 ms
116,204 KB |
testcase_29 | AC | 593 ms
115,788 KB |
testcase_30 | AC | 586 ms
116,300 KB |
testcase_31 | AC | 560 ms
115,008 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, M = i_map() flag = [[] for i in range(N)] for i in range(N): b, c = i_map() c -= 1 flag[c].append(b-1) uf = UnionFind(M) for i in range(N): for j in range(len(flag[i])-1): a, b = flag[i][j], flag[i][j+1] uf.unite(a, b) size = uf.all_sizes() ans = 0 for i in range(len(size)): if size[i] >= 2: ans += size[i]-1 print(ans) if __name__ == '__main__': main()