結果

問題 No.2954 Calculation of Exponentiation
ユーザー lam6er
提出日時 2025-03-26 15:46:35
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 54 ms / 2,000 ms
コード長 1,717 bytes
コンパイル時間 299 ms
コンパイル使用メモリ 82,176 KB
実行使用メモリ 57,856 KB
最終ジャッジ日時 2025-03-26 15:47:18
合計ジャッジ時間 2,520 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge5
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ファイルパターン 結果
sample AC * 3
other AC * 28
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
def parse_number(s):
    is_negative = False
    if s.startswith('-'):
        is_negative = True
        s = s[1:]
    parts = s.split('.')
    integer_part = parts[0]
    fractional_part = parts[1] if len(parts) > 1 else '0000'
    fractional_part = fractional_part.ljust(4, '0')[:4]  # Ensure exactly four digits
    numerator = int(integer_part) * 10000 + int(fractional_part)
    denominator = 10000
    g = math.gcd(abs(numerator), denominator)
    reduced_num = numerator // g
    reduced_den = denominator // g
    if is_negative:
        reduced_num = -reduced_num
    return reduced_num, reduced_den
def factorize(n):
    factors = {}
    if n == 0:
        return factors
    n = abs(n)
    while n % 2 == 0:
        factors[2] = factors.get(2, 0) + 1
        n = n // 2
    i = 3
    max_i = int(math.sqrt(n)) + 1
    while i <= max_i and n > 1:
        while n % i == 0:
            factors[i] = factors.get(i, 0) + 1
            n = n // i
            max_i = int(math.sqrt(n)) + 1
        i += 2
    if n > 1:
        factors[n] = 1
    return factors
a_str, b_str = input().split()
a_num, a_den = parse_number(a_str)
b_num, b_den = parse_number(b_str)
if b_num == 0:
    print("Yes")
else:
    num_factors = factorize(a_num)
    den_factors = factorize(a_den)
    primes = set(num_factors.keys()).union(set(den_factors.keys()))
    r = b_num
    s = b_den
    all_ok = True
    for p in primes:
        e = num_factors.get(p, 0)
        f = den_factors.get(p, 0)
        total_exp = (e - f) * r
        if total_exp % s != 0:
            all_ok = False
            break
        if (total_exp // s) < 0:
            all_ok = False
            break
    print("Yes" if all_ok else "No")
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