結果

問題 No.2207 pCr検査
コンテスト
ユーザー lam6er
提出日時 2025-04-15 22:57:19
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 1,878 bytes
コンパイル時間 165 ms
コンパイル使用メモリ 82,204 KB
実行使用メモリ 55,196 KB
最終ジャッジ日時 2025-04-15 22:58:49
合計ジャッジ時間 6,685 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 * 2
other TLE * 1 -- * 29
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ソースコード

diff # 

def main():
    import sys
    from collections import defaultdict

    k = int(sys.stdin.readline())
    factors = {}
    for _ in range(k):
        p, e = map(int, sys.stdin.readline().split())
        factors[p] = e

    # Generate candidate p's (primes with exponent 1 in N)
    candidates = [p for p in factors if factors[p] == 1]

    # Check r=1 case: N must be a single prime with exponent 1
    if len(factors) == 1 and factors.get(candidates[0], 0) == 1:
        p = candidates[0]
        print(p, 1)
        return

    # Check r=2 case: p(p-1) == 2N
    # Compute 2N's factors
    two_n_factors = defaultdict(int)
    for p in factors:
        two_n_factors[p] = factors[p]
    two_n_factors[2] += 1  # multiply by 2

    # For each candidate p, check if p is in two_n_factors with exponent 1
    # and (two_n_factors without p) equals p-1's factors
    for p in candidates:
        if two_n_factors.get(p, 0) != 1:
            continue

        # Compute two_n / p's factors
        tn_over_p = defaultdict(int, two_n_factors)
        if tn_over_p[p] == 1:
            del tn_over_p[p]
        else:
            tn_over_p[p] -= 1

        # Compute p-1
        p_minus_1 = p - 1

        # Now check if the factors of p-1 match tn_over_p
        # We need to factorize p_minus_1 and compare with tn_over_p
        temp = p_minus_1
        pm_factors = defaultdict(int)
        for prime in tn_over_p:
            if temp == 1:
                break
            while temp % prime == 0:
                pm_factors[prime] += 1
                temp //= prime
        if temp != 1:
            # p-1 has a prime factor not in tn_over_p
            continue

        # Check if pm_factors matches tn_over_p
        if pm_factors == tn_over_p:
            print(p, 2)
            return

    # If no solution found
    print(-1, -1)

if __name__ == "__main__":
    main()
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