結果

問題 No.1411 Hundreds of Conditions Sequences
ユーザー QCFium
提出日時 2021-02-26 23:32:30
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 531 ms / 2,000 ms
コード長 3,720 bytes
コンパイル時間 2,013 ms
コンパイル使用メモリ 180,556 KB
実行使用メモリ 9,472 KB
最終ジャッジ日時 2024-10-02 16:28:22
合計ジャッジ時間 19,416 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
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 AC * 62
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

#include <bits/stdc++.h>
int ri() {
    int n;
    scanf("%d", &n);
    return n;
}
template<int mod>
struct ModInt{
    int x;
    ModInt () : x(0) {}
    ModInt (int64_t x) : x(x >= 0 ? x % mod : (mod - -x % mod) % mod) {}
    ModInt &operator += (const ModInt &p){
        if ((x += p.x) >= mod) x -= mod;
        return *this;
    }
    ModInt &operator -= (const ModInt &p) {
        if ((x += mod - p.x) >= mod) x -= mod;
        return *this;
    }
    ModInt &operator *= (const ModInt &p) {
        x = (int64_t) x * p.x % mod;
        return *this;
    }
    ModInt &operator /= (const ModInt &p) {
        *this *= p.inverse();
        return *this;
    }
    ModInt &operator ^= (int64_t p) {
        ModInt res = 1;
        for (; p; p >>= 1) {
            if (p & 1) res *= *this;
            *this *= *this;
        }
        return *this = res;
    }
    ModInt operator - () const { return ModInt(-x); }
    ModInt operator + (const ModInt &p) const { return ModInt(*this) += p; }
    ModInt operator - (const ModInt &p) const { return ModInt(*this) -= p; }
    ModInt operator * (const ModInt &p) const { return ModInt(*this) *= p; }
    ModInt operator / (const ModInt &p) const { return ModInt(*this) /= p; }
    ModInt operator ^ (int64_t p) const { return ModInt(*this) ^= p; }
    bool operator == (const ModInt &p) const { return x == p.x; }
    bool operator != (const ModInt &p) const { return x != p.x; }
    explicit operator int() const { return x; }
    ModInt &operator = (const int p) { x = p; return *this;}
    ModInt inverse() const {
        int a = x, b = mod, u = 1, v = 0, t;
        while (b > 0) {
            t = a / b;
            a -= t * b;
            std::swap(a, b);
            u -= t * v;
            std::swap(u, v);
        }
        return ModInt(u);
    }
    friend std::ostream & operator << (std::ostream &stream, const ModInt<mod> &p) {
        return stream << p.x;
    }
    friend std::istream & operator >> (std::istream &stream, ModInt<mod> &a) {
        int64_t x;
        stream >> x;
        a = ModInt<mod>(x);
        return stream;
    }
};
typedef ModInt<1000000007> mint;
template<int mod> struct MComb {
    using mint = ModInt<mod>;
    std::vector<mint> fact;
    std::vector<mint> inv;
    MComb (int n) { // O(n + log(mod))
        fact = std::vector<mint>(n + 1, 1);
        for (int i = 1; i <= n; i++) fact[i] = fact[i - 1] * mint(i);
        inv.resize(n + 1);
        inv[n] = fact[n] ^ (mod - 2);
        for (int i = n; i--; ) inv[i] = inv[i + 1] * mint(i + 1);
    }
    mint ncr(int n, int r) {
        return fact[n] * inv[r] * inv[n - r];
    }
    mint npr(int n, int r) {
        return fact[n] * inv[n - r];
    }
    mint nhr(int n, int r) {
        assert(n + r - 1 < (int) fact.size());
        return ncr(n + r - 1, r);
    }
};
int gcd(int a, int b) {
    while (a && b) {
        if (a > b) a %= b;
        else b %= a;
    }
    return a + b;
}
int lcm(int a, int b) {
    return a / gcd(a, b) * b;
}
int main() {
    int n = ri();
    int a[n];
    for (auto &i : a) i = ri();
    
    struct Info {
        int max = 0;
        int max2 = 0;
        int max_id = -1;
    };
    std::map<int, Info> map;
    for (int i = 0; i < n; i++) {
        auto add = [&] (int j, int cnt) {
            if (map[j].max <= cnt) map[j].max2 = map[j].max, map[j].max = cnt, map[j].max_id = i;
            else if (map[j].max2 < cnt) map[j].max2 = cnt;
        };
        int t = a[i];
        for (int j = 2; j * j <= t; j++) {
            int cnt = 0;
            while (t % j == 0) t /= j, cnt++;
            if (cnt) add(j, cnt);
        }
        if (t > 1) add(t, 1);
    }
    
    mint tmp[n];
    for (auto &i : tmp) i = 1;
    mint all = 1;
    for (auto i : map) {
        // std::cerr << i.first << " " << i.second.max << " " << i.second.max_id << " " << i.second.max2 << std::endl;
        mint r0 = mint(i.first) ^ i.second.max;
        mint alt = mint(i.first) ^ i.second.max2;
        all *= r0;
        tmp[i.second.max_id] /= r0;
        tmp[i.second.max_id] *= alt;
    }
    for (auto &i : tmp) i *= all;
    
    mint prod = 1;
    for (auto i : a) prod *= i;
    
    for (int i = 0; i < n; i++) {
        // std::cerr << tmp[i] << std::endl;
        std::cout << prod / a[i] - tmp[i] << std::endl;
    }
    
    return 0;
}
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