結果

問題 No.3007 組み紐
ユーザー lam6er
提出日時 2025-03-31 17:35:19
言語 PyPy3
(7.3.15)
結果
RE  
実行時間 -
コード長 1,791 bytes
コンパイル時間 184 ms
コンパイル使用メモリ 82,040 KB
実行使用メモリ 70,168 KB
最終ジャッジ日時 2025-03-31 17:36:21
合計ジャッジ時間 2,918 ms
ジャッジサーバーID
(参考情報)
judge3 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample RE * 4
other RE * 21
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

import math
import sys
from math import gcd
from random import randint
def is_prime(n):
if n < 2:
return False
for p in [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37]:
if n % p == 0:
return n == p
d = n - 1
s = 0
while d % 2 == 0:
d //= 2
s += 1
for a in [2, 325, 9375, 28178, 450775, 9780504, 1795265022]:
if a >= n:
continue
x = pow(a, d, n)
if x == 1 or x == n - 1:
continue
for _ in range(s - 1):
x = pow(x, 2, n)
if x == n - 1:
break
else:
return False
return True
def pollards_rho(n):
if n % 2 == 0:
return 2
if n % 3 == 0:
return 3
if n % 5 == 0:
return 5
while True:
c = randint(1, n - 1)
f = lambda x: (pow(x, 2, n) + c) % n
x, y, d = 2, 2, 1
while d == 1:
x = f(x)
y = f(f(y))
d = math.gcd(abs(x - y), n)
if d != n:
return d
def factor(n):
factors = {}
for p in [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37]:
while n % p == 0:
factors[p] = factors.get(p, 0) + 1
n = n // p
if n == 1:
return factors
def _factor(n):
if n == 1:
return
if is_prime(n):
factors[n] = factors.get(n, 0) + 1
return
d = pollards_rho(n)
_factor(d)
_factor(n // d)
_factor(n)
return factors
n = int(sys.stdin.readline())
if n == 1:
print(1)
else:
factors = factor(n)
exponents = list(factors.values())
current_gcd = exponents[0]
for e in exponents[1:]:
current_gcd = math.gcd(current_gcd, e)
print(current_gcd)
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