結果
問題 | No.2552 Not Coprime, Not Divisor |
ユーザー | StanMarsh |
提出日時 | 2023-11-25 15:26:30 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 359 ms / 2,000 ms |
コード長 | 7,435 bytes |
コンパイル時間 | 498 ms |
コンパイル使用メモリ | 81,944 KB |
実行使用メモリ | 209,568 KB |
最終ジャッジ日時 | 2024-09-26 10:51:53 |
合計ジャッジ時間 | 7,495 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge5 |
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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 | 231 ms
141,692 KB |
testcase_01 | AC | 304 ms
184,192 KB |
testcase_02 | AC | 218 ms
132,064 KB |
testcase_03 | AC | 289 ms
177,272 KB |
testcase_04 | AC | 300 ms
183,584 KB |
testcase_05 | AC | 180 ms
106,404 KB |
testcase_06 | AC | 324 ms
187,136 KB |
testcase_07 | AC | 330 ms
199,228 KB |
testcase_08 | AC | 272 ms
165,472 KB |
testcase_09 | AC | 359 ms
209,568 KB |
testcase_10 | AC | 214 ms
127,252 KB |
testcase_11 | AC | 263 ms
156,948 KB |
testcase_12 | AC | 344 ms
200,060 KB |
testcase_13 | AC | 229 ms
136,344 KB |
testcase_14 | AC | 207 ms
121,236 KB |
testcase_15 | AC | 135 ms
90,320 KB |
testcase_16 | AC | 139 ms
90,360 KB |
testcase_17 | AC | 198 ms
114,456 KB |
testcase_18 | AC | 134 ms
90,408 KB |
testcase_19 | AC | 136 ms
90,392 KB |
testcase_20 | AC | 135 ms
90,396 KB |
testcase_21 | AC | 135 ms
90,468 KB |
testcase_22 | AC | 139 ms
90,340 KB |
testcase_23 | AC | 135 ms
90,672 KB |
testcase_24 | AC | 137 ms
90,332 KB |
testcase_25 | AC | 136 ms
90,376 KB |
testcase_26 | AC | 138 ms
90,292 KB |
testcase_27 | AC | 138 ms
90,180 KB |
ソースコード
from random import getrandbits, randrange from string import ascii_lowercase, ascii_uppercase import sys from math import ceil, floor, sqrt, pi, factorial, gcd, log, log10, log2, inf, cos, sin from copy import deepcopy, copy 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 lru_cache, reduce from decimal import Decimal, getcontext from typing import List, Tuple, Optional inf = float("inf") def ceil_div(a, b): return (a + b - 1) // b def isqrt(num): res = int(sqrt(num)) while res * res > num: res -= 1 while (res + 1) * (res + 1) <= num: res += 1 return res def int1(s): return int(s) - 1 from types import GeneratorType def bootstrap(f, stack=[]): def wrapped(*args, **kwargs): if stack: return f(*args, **kwargs) else: to = f(*args, **kwargs) while True: if type(to) is GeneratorType: stack.append(to) to = next(to) else: stack.pop() if not stack: break to = stack[-1].send(to) return to return wrapped import sys import os input = lambda: sys.stdin.readline().rstrip("\r\n") print = lambda *args, end="\n", sep=" ": sys.stdout.write( sep.join(map(str, args)) + end ) def II(): return int(input()) def MII(base=0): return map(lambda s: int(s) - base, input().split()) def LII(base=0): return list(MII(base)) def NA(): n = II() a = LII() return n, a def read_graph(n, m, base=0, directed=False, return_edges=False): g = [[] for _ in range(n)] edges = [] for _ in range(m): a, b = MII(base) if return_edges: edges.append((a, b)) g[a].append(b) if not directed: g[b].append(a) if return_edges: return g, edges return g def read_graph_with_weight(n, m, base=0, directed=False, return_edges=False): g = [[] for _ in range(n)] edges = [] for _ in range(m): a, b, w = MII() a, b = a - base, b - base if return_edges: edges.append((a, b, w)) g[a].append((b, w)) if not directed: g[b].append((a, w)) if return_edges: return g, edges return g def iterate_tokens(): for line in sys.stdin: for word in line.split(): yield word tokens = None def NI(): global tokens if tokens is None: tokens = iterate_tokens() return int(next(tokens)) def LNI(n): return [NI() for _ in range(n)] def yes(res): print("Yes" if res else "No") def YES(res): print("YES" if res else "NO") def pairwise(a): n = len(a) for i in range(n - 1): yield a[i], a[i + 1] def factorial(n): return reduce(lambda x, y: x * y, range(1, n + 1)) def cmin(dp, i, x): if x < dp[i]: dp[i] = x def cmax(dp, i, x): if x > dp[i]: dp[i] = x def alp_a_to_i(s): return ord(s) - ord("a") def alp_A_to_i(s): return ord(s) - ord("A") def alp_i_to_a(i): return chr(ord("a") + i) def alp_i_to_A(i): return chr(ord("A") + i) d4 = [(1, 0), (0, 1), (-1, 0), (0, -1)] d8 = [(1, 0), (1, 1), (0, 1), (-1, 1), (-1, 0), (-1, -1), (0, -1), (1, -1)] def ranges(n, m): return ((i, j) for i in range(n) for j in range(m)) def valid(i, j, n, m): return 0 <= i < n and 0 <= j < m def ninj(i, j, n, m): return [(i + di, j + dj) for di, dj in d4 if valid(i + di, j + dj, n, m)] def gen(x, *args): if len(args) == 1: return [x] * args[0] if len(args) == 2: return [[x] * args[1] for _ in [0] * args[0]] if len(args) == 3: return [[[x] * args[2] for _ in [0] * args[1]] for _ in [0] * args[0]] if len(args) == 4: return [ [[[x] * args[3] for _ in [0] * args[2]] for _ in [0] * args[1]] for _ in [0] * args[0] ] list2d = lambda a, b, v: [[v] * b for _ in range(a)] list3d = lambda a, b, c, v: [[[v] * c for _ in range(b)] for _ in range(a)] class Debug: def __init__(self, debug=False): self.debug = debug cur_path = os.path.dirname(os.path.abspath(__file__)) self.local = os.path.exists(cur_path + "/.cph") def get_ic(self): if self.debug and self.local: from icecream import ic return ic else: return lambda *args, **kwargs: ... class PrimeTable: def __init__(self, n: int) -> None: self.n = n self.primes = [] self.isprime = [True] * (n + 1) self.isprime[0] = self.isprime[1] = False self.max_div = list(range(n + 1)) self.max_div[1] = 1 self.phi = list(range(n + 1)) for i in range(2, n + 1): if self.max_div[i] == i: self.primes.append(i) for j in range(i, n + 1, i): if j != i: self.isprime[j] = False self.max_div[j] = i self.phi[j] = self.phi[j] // i * (i - 1) self.pres = [0] for v in self.isprime: if v: self.pres.append(self.pres[-1] + 1) else: self.pres.append(self.pres[-1]) def count_primes(self, l, r): return self.pres[r + 1] - self.pres[l] def is_prime(self, x: int): if x < 2: return False if x <= self.n: return self.max_div[x] == x for p in self.primes: if p * p > x: break if x % p == 0: return False return True def prime_factorization(self, x: int): if x > self.n: for p in self.primes: if p * p > x: break if x <= self.n: break if x % p == 0: cnt = 0 while x % p == 0: cnt += 1 x //= p yield p, cnt while 1 < x and x <= self.n: p, cnt = self.max_div[x], 0 while x % p == 0: cnt += 1 x //= p yield p, cnt if x >= self.n and x > 1: yield x, 1 def get_factors(self, x: int): factors = [1] for p, b in self.prime_factorization(x): n = len(factors) for j in range(1, b + 1): for d in factors[:n]: factors.append(d * (p**j)) return factors class PrefixSum: def __init__(self, a): self.n = len(a) self.sum = [0] * (self.n + 1) self.sum[1] = a[0] for i in range(2, self.n + 1): self.sum[i] = self.sum[i - 1] + a[i - 1] def get_sum(self, l, r): return self.sum[r + 1] - self.sum[l] def __repr__(self): return str(self.sum) ic = Debug(1).get_ic() n = II() pt = PrimeTable(n + 1) t = [max(0, i - 1) for i in pt.phi] pre = PrefixSum(t) res = 0 for i in range(2, n): m = n // i res += pre.get_sum(0, m) print(res)