結果

問題 No.886 Direct
ユーザー hitonanodehitonanode
提出日時 2019-09-28 16:54:50
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 573 ms / 4,000 ms
コード長 6,977 bytes
コンパイル時間 1,938 ms
コンパイル使用メモリ 172,380 KB
実行使用メモリ 38,440 KB
最終ジャッジ日時 2024-10-02 12:07:03
合計ジャッジ時間 8,066 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
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 * 4
other AC * 32
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 # 

#include <bits/stdc++.h>
using namespace std;
using lint = long long int;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((lint)(x).size())
#define POW2(n) (1LL << (n))
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template<typename T> void ndarray(vector<T> &vec, int len) { vec.resize(len); }
template<typename T, typename... Args> void ndarray(vector<T> &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); }
template<typename T> bool mmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; }
template<typename T> bool mmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; }
template<typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); }
template<typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); }
template<typename T> istream &operator>>(istream &is, vector<T> &vec){ for (auto &v : vec) is >> v; return is; }
///// This part below is only for debug, not used /////
template<typename T> ostream &operator<<(ostream &os, const vector<T> &vec){ os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template<typename T> ostream &operator<<(ostream &os, const deque<T> &vec){ os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template<typename T> ostream &operator<<(ostream &os, const set<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> ostream &operator<<(ostream &os, const unordered_set<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> ostream &operator<<(ostream &os, const multiset<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa){ os << "(" << pa.first << "," << pa.second << ")"; return os; }
template<typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
template<typename TK, typename TV> ostream &operator<<(ostream &os, const unordered_map<TK, TV> &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
#define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl;
///// END /////

constexpr lint MOD = 1000000007;

template <int mod>
struct ModInt
{
    using lint = long long;
    int val;
    constexpr ModInt() : val(0) {}
    constexpr void _setval(lint v) { v = (v % mod) + mod; val = v >= mod ? v - mod : v; }
    constexpr ModInt(lint v) { _setval(v); }
    constexpr ModInt operator+(const ModInt &x) const { return ModInt((lint)val + x.val); }
    constexpr ModInt operator-(const ModInt &x) const { return ModInt((lint)val - x.val); }
    constexpr ModInt operator*(const ModInt &x) const { return ModInt((lint)val * x.val); }
    constexpr ModInt operator/(const ModInt &x) const { return ModInt((lint)val * x.inv()); }
    constexpr ModInt operator-() const { return ModInt(-val); }
    constexpr ModInt &operator+=(const ModInt &x) { return *this = *this + x; }
    constexpr ModInt &operator-=(const ModInt &x) { return *this = *this - x; }
    constexpr ModInt &operator*=(const ModInt &x) { return *this = *this * x; }
    constexpr ModInt &operator/=(const ModInt &x) { return *this = *this / x; }
    friend constexpr ModInt operator+(lint a, const ModInt &x) { return ModInt(a % mod + x.val); }
    friend constexpr ModInt operator-(lint a, const ModInt &x) { return ModInt(a % mod - x.val); }
    friend constexpr ModInt operator*(lint a, const ModInt &x) { return ModInt(a % mod * x.val); }
    friend constexpr ModInt operator/(lint a, const ModInt &x) { return ModInt(a % mod * x.inv()); }
    constexpr bool operator==(const ModInt &x) { return val == x.val; }
    constexpr bool operator!=(const ModInt &x) { return val != x.val; }
    friend istream &operator>>(istream &is, ModInt &x) { lint t; is >> t; x = ModInt(t); return is; }
    friend ostream &operator<<(ostream &os, const ModInt &x) { os << x.val;  return os; }

    constexpr lint power(lint n) const {
        lint ans = 1, tmp = this->val;
        while (n) {
            if (n & 1) ans = ans * tmp % mod;
            tmp = tmp * tmp % mod;
            n /= 2;
        }
        return ans;
    }
    constexpr lint inv() const { return this->power(mod - 2); }
    constexpr ModInt operator^(lint n) const { return ModInt(this->power(n)); }
    constexpr ModInt &operator^=(lint n) { return *this = *this ^ n; }

    inline ModInt fac() const {
        static vector<ModInt> facs;
        int l0 = facs.size();
        if (l0 > this->val) return facs[this->val];

        facs.resize(this->val + 1);
        for (int i = l0; i <= this->val; i++) facs[i] = (i == 0 ? ModInt(1) : facs[i - 1] * ModInt(i));
        return facs[this->val];
    }

    ModInt doublefac() const {
        lint k = (this->val + 1) / 2;
        if (this->val & 1) return ModInt(k * 2).fac() / ModInt(2).power(k) / ModInt(k).fac();
        else return ModInt(k).fac() * ModInt(2).power(k);
    }

    ModInt nCr(const ModInt &r) const {
        if (this->val < r.val) return ModInt(0);
        return this->fac() / ((*this - r).fac() * r.fac());
    }
};
using mint = ModInt<MOD>;

using T = mint;
void fast_integer_zeta(vector<T> &f)
{
    int N = f.size() - 1;
    vector<int> is_prime(N + 1, 1);
    for (int p = 2; p <= N; p++) if (is_prime[p])
    {
        for (int q = p * 2; q <= N; q += p) is_prime[q] = 0;
        for (int j = N / p * p; j > 0; j -= p) f[j / p] += f[j];
    }
}

void fast_integer_moebius(vector<T> &f)
{
    int N = f.size() - 1;
    vector<int> is_prime(N + 1, 1);
    for (int p = 2; p <= N; p++) if (is_prime[p])
    {
        for (int q = p * 2; q <= N; q += p) is_prime[q] = 0;
        for (int j = p; j <= N; j += p) f[j / p] -= f[j];
    }
}

int main()
{
    lint H, W;
    cin >> H >> W;
    vector<mint> vh(max(H, W)), vw(max(H, W));
    REP(i, H) vh[i] = (H - i);
    REP(i, W) vw[i] = (W - i);
    fast_integer_zeta(vh);
    fast_integer_zeta(vw);
    REP(i, vh.size()) vh[i] = vh[i] * vw[i];
    fast_integer_moebius(vh);
    cout << vh[1] * 2 + H * (W - 1) + (H - 1) * W << endl;
}
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