結果

問題 No.1665 quotient replace
ユーザー shinichi
提出日時 2021-09-03 21:34:48
言語 PyPy3
(7.3.15)
結果
WA  
実行時間 -
コード長 1,857 bytes
コンパイル時間 508 ms
コンパイル使用メモリ 82,312 KB
実行使用メモリ 272,944 KB
最終ジャッジ日時 2024-12-15 10:41:10
合計ジャッジ時間 33,496 ms
ジャッジサーバーID
(参考情報)
judge5 / judge1
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 AC * 3
other AC * 31 WA * 10
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

from collections import defaultdict
class Eratosthenes():
def __init__(self, size):
self.size = size
self.isprime = [True] * size
self.minfactor = [-1] * size
self.mobius = [1] * size
self.isprime[1] = False
self.minfactor[1] = 1
self.eratosthenes()
# ,minfactorisprime
def eratosthenes(self):
for p in range(2, self.size):
if not self.isprime[p]:
continue
self.minfactor[p] = p
self.mobius[p] = -1
for q in range(p+p, self.size, p):
self.isprime[q] = False
if self.minfactor[q] == -1:
self.minfactor[q] = p
if (q//p) % p == 0:
self.mobius[q] = 0
else:
self.mobius[q] = -self.mobius[q]
#
def prime_factorize(self, number):
assert 1 <= number <= self.size
factors = defaultdict(int)
while number != 1:
factors[self.minfactor[number]] += 1
number //= self.minfactor[number]
return factors
#
def divisors(self, number):
res = [1]
factors = self.prime_factorize(number)
for p, cnt in factors.items():
#
res_size = len(res)
for i in range(res_size):
pp = 1
for j in range(cnt):
pp *= p
res.append(res[i]*pp)
return len(res)
N = int(input())
A = list(map(int, input().split()))
Nim = [0] * N
era = Eratosthenes(10**6+10)
for i in range(N):
a = A[i]
Nim[i] = era.divisors(a)-1
mex = 0
for n in Nim:
mex ^= n
if mex:
print("white")
else:
print("black")
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