結果
問題 | No.1666 累乗数 |
ユーザー | vwxyz |
提出日時 | 2021-09-11 00:51:31 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 966 ms / 2,000 ms |
コード長 | 3,482 bytes |
コンパイル時間 | 521 ms |
コンパイル使用メモリ | 87,084 KB |
実行使用メモリ | 96,616 KB |
最終ジャッジ日時 | 2023-09-03 15:30:15 |
合計ジャッジ時間 | 13,763 ms |
ジャッジサーバーID (参考情報) |
judge14 / judge13 |
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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
95,176 KB |
testcase_01 | AC | 301 ms
95,916 KB |
testcase_02 | AC | 311 ms
96,608 KB |
testcase_03 | AC | 318 ms
96,072 KB |
testcase_04 | AC | 321 ms
96,260 KB |
testcase_05 | AC | 902 ms
96,232 KB |
testcase_06 | AC | 897 ms
96,036 KB |
testcase_07 | AC | 966 ms
95,776 KB |
testcase_08 | AC | 915 ms
95,912 KB |
testcase_09 | AC | 440 ms
95,920 KB |
testcase_10 | AC | 433 ms
96,360 KB |
testcase_11 | AC | 444 ms
96,036 KB |
testcase_12 | AC | 444 ms
96,616 KB |
testcase_13 | AC | 756 ms
96,220 KB |
testcase_14 | AC | 772 ms
96,360 KB |
testcase_15 | AC | 742 ms
96,048 KB |
testcase_16 | AC | 754 ms
96,228 KB |
testcase_17 | AC | 530 ms
96,236 KB |
testcase_18 | AC | 615 ms
96,380 KB |
testcase_19 | AC | 534 ms
96,424 KB |
ソースコード
import bisect import copy import decimal import fractions import heapq import itertools import math import random import sys from collections import Counter,deque,defaultdict from functools import lru_cache,reduce from heapq import heappush,heappop,heapify,heappushpop,_heappop_max,_heapify_max def _heappush_max(heap,item): heap.append(item) heapq._siftdown_max(heap, 0, len(heap)-1) def _heappushpop_max(heap, item): if heap and item < heap[0]: item, heap[0] = heap[0], item heapq._siftup_max(heap, 0) return item from math import gcd as GCD read=sys.stdin.read readline=sys.stdin.readline readlines=sys.stdin.readlines def Bisect_Int(ok,ng,is_ok): while abs(ok-ng)>1: mid=(ok+ng)//2 if is_ok(mid): ok=mid else: ng=mid return ok class Prime: def __init__(self,N): assert N<=10**8 self.smallest_prime_factor=[None]*(N+1) for i in range(2,N+1,2): self.smallest_prime_factor[i]=2 n=int(N**.5)+1 for p in range(3,n,2): if self.smallest_prime_factor[p]==None: self.smallest_prime_factor[p]=p for i in range(p**2,N+1,2*p): if self.smallest_prime_factor[i]==None: self.smallest_prime_factor[i]=p for p in range(n,N+1): if self.smallest_prime_factor[p]==None: self.smallest_prime_factor[p]=p self.primes=[p for p in range(N+1) if p==self.smallest_prime_factor[p]] def Factorize(self,N): assert N>=1 factorize=defaultdict(int) if N<=len(self.smallest_prime_factor)-1: while N!=1: factorize[self.smallest_prime_factor[N]]+=1 N//=self.smallest_prime_factor[N] else: for p in self.primes: while N%p==0: N//=p factorize[p]+=1 if N<p*p: if N!=1: factorize[N]+=1 break if N<=len(self.smallest_prime_factor)-1: while N!=1: factorize[self.smallest_prime_factor[N]]+=1 N//=self.smallest_prime_factor[N] break else: if N!=1: factorize[N]+=1 return factorize def Divisors(self,N): assert N>0 divisors=[1] for p,e in self.Factorize(N).items(): A=[1] for _ in range(e): A.append(A[-1]*p) divisors=[i*j for i in divisors for j in A] return divisors def Is_Prime(self,N): return N==self.smallest_prime_factor[N] def Totient(self,N): for p in self.Factorize(N).keys(): N*=p-1 N//=p return N def Mebius(self,N): fact=self.Factorize(N) for e in fact.values(): if e>=2: return 0 else: if len(fact)%2==0: return 1 else: return -1 P=Prime(60) dct={} for b in range(2,61): m=P.Mebius(b) if m: dct[b]=-m def is_ok(n): s=0 for b in dct: a=int(n**(1/b))-2 while pow(a+1,b)<=n: a+=1 s+=(a-1)*dct[b] return s>=K-1 T=int(readline()) for _ in range(T): K=int(readline()) ans=Bisect_Int(K**2+1,0,is_ok) print(ans)