結果

問題 No.2795 Perfect Number
ユーザー るこーそーるこーそー
提出日時 2024-09-28 15:10:54
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 36 ms / 2,000 ms
コード長 2,105 bytes
コンパイル時間 349 ms
コンパイル使用メモリ 82,604 KB
実行使用メモリ 60,756 KB
最終ジャッジ日時 2024-09-28 15:10:57
合計ジャッジ時間 2,643 ms
ジャッジサーバーID
(参考情報)
judge4 / judge1
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 35
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

def gcd(a, b):
while a:
a, b = b%a, a
return b
def is_prime(n):
if n == 2:
return 1
if n == 1 or n%2 == 0:
return 0
m = n - 1
lsb = m & -m
s = lsb.bit_length()-1
d = m // lsb
test_numbers = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37]
for a in test_numbers:
if a == n:
continue
x = pow(a,d,n)
r = 0
if x == 1:
continue
while x != m:
x = pow(x,2,n)
r += 1
if x == 1 or r == s:
return 0
return 1
def find_prime_factor(n):
if n%2 == 0:
return 2
m = int(n**0.125)+1
for c in range(1,n):
f = lambda a: (pow(a,2,n)+c)%n
y = 0
g = q = r = 1
k = 0
while g == 1:
x = y
while k < 3*r//4:
y = f(y)
k += 1
while k < r and g == 1:
ys = y
for _ in range(min(m, r-k)):
y = f(y)
q = q*abs(x-y)%n
g = gcd(q,n)
k += m
k = r
r *= 2
if g == n:
g = 1
y = ys
while g == 1:
y = f(y)
g = gcd(abs(x-y),n)
if g == n:
continue
if is_prime(g):
return g
elif is_prime(n//g):
return n//g
else:
return find_prime_factor(g)
def factorize(n):
res = {}
while not is_prime(n) and n > 1: # nn
p = find_prime_factor(n)
s = 0
while n%p == 0: # np
n //= p
s += 1
res[p] = s
if n > 1: # n>1n
res[n] = 1
return res
n=int(input())
F=factorize(n)
res=1
for key,val in F.items():
tmp=0
while val:
tmp+=pow(key,val)
val-=1
res*=tmp+1
print('Yes' if res==2*n else 'No')
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0