#695493 (PyPy3) No.1665 quotient replace

• 問題: No.1665 quotient replace
• ユーザー: shinichi
• 提出日時: 2021-09-03 21:59:57
• 言語: PyPy3 (7.3.15)
• 結果: AC
• 実行時間: 993 ms / 3,000 ms
• コード長: 1,615 bytes
• コンパイル時間: 356 ms
• コンパイル使用メモリ: 82,380 KB
• 実行使用メモリ: 273,052 KB
• 最終ジャッジ日時: 2024-12-15 13:15:42
• 合計ジャッジ時間: 22,854 ms
• ジャッジサーバーID （参考情報）: judge4 / judge3

ファイルパターン	結果
sample	AC * 3
other	AC * 41

ソースコード

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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()
    # 初めに篩にかけて,minfactorとisprimeを生成
    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]
    # 高速素因数分解
    def prime_factorize(self, number):
        assert 1 <= number <= self.size
        factors = defaultdict(int)
        cnt = 0
        while number != 1:
            factors[self.minfactor[number]] += 1
            cnt += 1
            number //= self.minfactor[number]
        return factors, cnt
    # 高速約数列挙
    def divisors(self, number):
        res = [1]
        factors, cnt = self.prime_factorize(number)
        return cnt
N = int(input())
A = list(map(int, input().split()))
Nim = [0] * N
era = Eratosthenes(10**6+1000)
for i in range(N):
    a = A[i]
    Nim[i] = era.divisors(a)
mex = 0
for n in Nim:
    mex ^= n
if mex:
    print("white")
else:
    print("black")
 
 
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