#568030 (C++17) No.1260 たくさんの多項式

提出ソース

結果

問題	No.1260 たくさんの多項式
ユーザー	Gosu_Hiroo
提出日時	2020-10-16 23:08:10
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	101 ms / 2,000 ms
コード長	12,511 bytes
コンパイル時間	2,282 ms
コンパイル使用メモリ	207,168 KB
実行使用メモリ	15,244 KB
最終ジャッジ日時	2024-07-20 23:38:25
合計ジャッジ時間	7,975 ms
ジャッジサーバーID （参考情報）	judge2 / judge1

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	50 ms 15,244 KB
testcase_01	AC	50 ms 15,232 KB
testcase_02	AC	52 ms 15,104 KB
testcase_03	AC	50 ms 15,112 KB
testcase_04	AC	51 ms 15,232 KB
testcase_05	AC	50 ms 14,976 KB
testcase_06	AC	51 ms 15,104 KB
testcase_07	AC	51 ms 15,104 KB
testcase_08	AC	51 ms 15,232 KB
testcase_09	AC	50 ms 15,232 KB
testcase_10	AC	50 ms 15,232 KB
testcase_11	AC	50 ms 15,104 KB
testcase_12	AC	51 ms 15,104 KB
testcase_13	AC	50 ms 15,232 KB
testcase_14	AC	50 ms 15,104 KB
testcase_15	AC	51 ms 15,056 KB
testcase_16	AC	51 ms 15,232 KB
testcase_17	AC	50 ms 15,232 KB
testcase_18	AC	51 ms 15,116 KB
testcase_19	AC	50 ms 15,232 KB
testcase_20	AC	99 ms 15,232 KB
testcase_21	AC	57 ms 15,108 KB
testcase_22	AC	91 ms 15,232 KB
testcase_23	AC	78 ms 15,104 KB
testcase_24	AC	79 ms 15,104 KB
testcase_25	AC	73 ms 15,104 KB
testcase_26	AC	77 ms 15,232 KB
testcase_27	AC	69 ms 15,232 KB
testcase_28	AC	96 ms 15,104 KB
testcase_29	AC	78 ms 15,232 KB
testcase_30	AC	64 ms 15,232 KB
testcase_31	AC	79 ms 15,104 KB
testcase_32	AC	79 ms 15,104 KB
testcase_33	AC	72 ms 15,116 KB
testcase_34	AC	95 ms 15,104 KB
testcase_35	AC	62 ms 15,104 KB
testcase_36	AC	61 ms 15,232 KB
testcase_37	AC	79 ms 15,112 KB
testcase_38	AC	83 ms 15,104 KB
testcase_39	AC	95 ms 15,232 KB
testcase_40	AC	80 ms 15,232 KB
testcase_41	AC	91 ms 15,232 KB
testcase_42	AC	76 ms 15,104 KB
testcase_43	AC	96 ms 15,232 KB
testcase_44	AC	73 ms 15,104 KB
testcase_45	AC	72 ms 15,192 KB
testcase_46	AC	68 ms 15,104 KB
testcase_47	AC	74 ms 15,116 KB
testcase_48	AC	53 ms 15,104 KB
testcase_49	AC	66 ms 15,104 KB
testcase_50	AC	57 ms 15,104 KB
testcase_51	AC	94 ms 15,116 KB
testcase_52	AC	58 ms 15,232 KB
testcase_53	AC	62 ms 15,232 KB
testcase_54	AC	96 ms 15,232 KB
testcase_55	AC	101 ms 15,232 KB
testcase_56	AC	65 ms 15,232 KB
testcase_57	AC	78 ms 15,232 KB
testcase_58	AC	68 ms 15,116 KB
testcase_59	AC	78 ms 15,104 KB
testcase_60	AC	100 ms 15,112 KB

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

raw source code

/**
 * code generated by JHelper
 * More info: https://github.com/AlexeyDmitriev/JHelper
 * @author Gosu_Hiroo
 */

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using VI = vector<int>;
using VL = vector<long long>;
using PII = pair<int, int>;
using PLL = pair<long long, long long>;

//#pragma GCC optimize("O3")
//#pragma GCC target("avx2")
//#pragma GCC optimize("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
//#pragma GCC optimize("Ofast")

#define G(size_1) vector<vector<int>>(size_1, vector<int>())
#define SZ(x) ((long long)(x).size())
#define READ ({long long t;cin >> t;t;})

#define FOR(i, _begin, _end) for (__typeof(_end) end = _end, begin = _begin,  i = (begin) - ((begin) > (end)); i != (end) - ((begin) > (end)); i += 1 - 2 * ((begin) > (end)))
#define REP(i, end) for (__typeof(end) i = 0, _len = (end); i < (_len); i += 1)
#define ALL(x) (x).begin(),(x).end()
#define RALL(x) (x).rbegin(),(x).rend()
#define F first
#define S second
#define y0 y3487465
#define y1 y8687969
#define j0 j1347829
#define j1 j234892
#define BIT(n) (1LL<<(n))
#define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() );
#define EB emplace_back
#define PB push_back
#define fcout cout << fixed << setprecision(12)
#define fcerr cerr << fixed << setprecision(12)
#define print(x) cout << (x) << '\n'
#define printE(x) cout << (x) << '\n';
#define fprint(x) cout << fixed << setprecision(12) << (x) << '\n';
# define BYE(a) do { cout << (a) << endl; return ; } while (false)

#ifdef DEBUG
#define DBG(args...) { string _s = #args; replace(_s.begin(), _s.end(), ',', ' '); stringstream _ss(_s); istream_iterator<string> _it(_ss); _err(cerr,_it, args); }
#define ERR(args...) { string _s = #args; replace(_s.begin(), _s.end(), ',', ' '); stringstream _ss(_s); istream_iterator<string> _it(_ss); _err(std::cerr,_it, args); }
#else
#define DBG(args...) {};
#define ERR(args...) {};
#endif
void _err(std::ostream& cerr,istream_iterator<string> it) {cerr << endl;}
template<typename T, typename... Args>
void _err(std::ostream& cerr, istream_iterator<string> it, T a, Args... args) {
    cerr << *it << " = " << a << "  ";
    _err(cerr,++it, args...);
}

const double PI = 2 * acos(.0);
const int INF = 0x3f3f3f3f;

template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }
template<class T>T ceil(T a, T b) {return (a+b-1)/b;}

template <typename T, typename U>
istream& operator >> (istream& is, pair<T, U>& V) {
    is >> V.F >> V.S;
    return is;
}

template <typename T>
istream& operator >> (istream& is, vector<T>& V) {
    for(auto&& ele : V)is >> ele;
    return is;
}

template <typename T>
ostream& operator << (ostream& os, const vector<T> V) {
    os << "[";
    int cnt = 0;
    T curr;
    if(!V.empty()){
        for (int i = 0; i < V.size() - 1; ++i) {
            if(V[i] == curr)cnt ++;
            else cnt = 0;
            if(cnt == 4)os << "... ";
            if(cnt < 4)
                os << i << ":" << V[i] << " ";
            curr = V[i];
        }
        os << V.size() - 1 << ":" << V.back();
    }
    os << "]\n";
    return os;
}

template <typename T, typename U>
ostream& operator << (ostream& os, const pair<T,U> P) {
    os << "(";
    os << P.first << "," << P.second;
    os << ")";
    return os;
}

template <typename T, typename U>
ostream& operator << (ostream& os, const set<T,U> V) {
    os << "{";
    if(!V.empty()){
        auto it = V.begin();
        for (int i = 0; i < V.size() -1; ++i) {
            os << *it << " ";
            it++;
        }
        os << *it;
    }
    os << "}\n";
    return os;
}

template <typename K, typename H, typename P>
ostream& operator << (ostream& os, const unordered_set<K, H, P> V) {
    os << "{";
    if(!V.empty()){
        auto it = V.begin();
        for (int i = 0; i < V.size() -1; ++i) {
            os << *it << " ";
            it++;
        }
        os << *it;
    }
    os << "}\n";
    return os;
}

template <typename K, typename C>
ostream& operator << (ostream& os, const multiset<K, C> V) {
    os << "{";
    if(!V.empty()){
        auto it = V.begin();
        for (int i = 0; i < V.size() -1; ++i) {
            os << *it << " ";
            it++;
        }
        os << *it;
    }
    os << "}";
    return os;
}

template <typename K, typename T, typename C>
ostream& operator << (ostream& os, const map<K,T,C> V) {
    os << "{";
    if(!V.empty()){
        auto it = V.begin();
        for (int i = 0; i < V.size() -1; ++i) {
            os << "(";
            os << it->first << "," << it->second;
            os << ") ";
            it++;
        }
        os << "(";
        os << it->first << "," << it->second;
        os << ")";
    }
    os << "}\n";
    return os;
}

template <typename K, typename T, typename C>
ostream& operator << (ostream& os, const unordered_map<K,T,C> V) {
    os << "{";
    if(!V.empty()){
        auto it = V.begin();
        for (int i = 0; i < V.size() -1; ++i) {
            os << "(";
            os << it->first << "," << it->second;
            os << ") ";
            it++;
        }
        os << "(";
        os << it->first << "," << it->second;
        os << ")";
    }
    os << "}\n";
    return os;
}

template <typename T>
ostream& operator << (ostream& os, const deque<T> V) {
    os << "[";
    if (!V.empty()) {
        for (int i = 0; i < V.size() - 1; ++i) {
            os << V[i] << "->";
        }
        if (!V.empty())os << V.back();
    }
    os << "]\n";
    return os;
};

template <typename T, typename Cont, typename Comp>
ostream& operator << (ostream& os, const priority_queue<T, Cont, Comp> V) {
    priority_queue<T, Cont, Comp> _V = V;
    os << "[";
    if(!_V.empty()){
        while(_V.size() > 1){
            os << _V.top() << "->";
            _V.pop();
        }
        os << _V.top();
    }
    os << "]\n";
    return os;
};

template <class F>
struct y_combinator {
    F f; // the lambda will be stored here

    // a forwarding operator():
    template <class... Args>
    decltype(auto) operator()(Args&&... args) const {
        // we pass ourselves to f, then the arguments.
        // the lambda should take the first argument as `auto&& recurse` or similar.
        return f(*this, std::forward<Args>(args)...);
    }
};
// helper function that deduces the type of the lambda:
template <class F>
y_combinator<std::decay_t<F>> recursive(F&& f){
return {std::forward<F>(f)};
}

struct hash_pair {
    template <class T1, class T2>
    size_t operator()(const pair<T1, T2>& p) const
    {
        auto hash1 = hash<T1>{}(p.first);
        auto hash2 = hash<T2>{}(p.second);
        return hash1 ^ hash2;
    }

};

template <typename T, typename U>
std::vector<T> multi_vector(int n, U v) {
    return std::vector<T>(n, v);
}

template <typename U, typename... Args>
auto multi_vector(int n, Args... args) {
    auto val = multi_vector<U>(std::forward<Args>(args)...);
    return std::vector<decltype(val)>(n, std::move(val));
}

template <signed M, unsigned T>
struct mod_int {
    constexpr static signed MODULO = M;
    constexpr static unsigned TABLE_SIZE = T;

    signed x;

    mod_int() : x(0) {}

    mod_int(long long y) : x(static_cast<signed>(y >= 0 ? y % MODULO : MODULO - (-y) % MODULO)) {}

    mod_int(int y) : x(y >= 0 ? y % MODULO : MODULO - (-y) % MODULO) {}


    explicit operator int() const
    {
        return x;
    }

    explicit operator long long() const
    {
        return x;
    }

    explicit operator double() const
    {
        return x;
    }

    mod_int &operator+=(const mod_int &rhs) {
        if ((x += rhs.x) >= MODULO) x -= MODULO;
        return *this;
    }

    mod_int &operator-=(const mod_int &rhs) {
        if ((x += MODULO - rhs.x) >= MODULO) x -= MODULO;
        return *this;
    }

    mod_int &operator*=(const mod_int &rhs) {
        x = static_cast<signed>(1LL * x * rhs.x % MODULO);
        return *this;
    }

    mod_int &operator/=(const mod_int &rhs) {
        x = static_cast<signed>((1LL * x * rhs.inv().x) % MODULO);
        return *this;
    }

    mod_int operator-() const { return mod_int(-x); }

    mod_int operator+(const mod_int &rhs) const { return mod_int(*this) += rhs; }

    mod_int operator-(const mod_int &rhs) const { return mod_int(*this) -= rhs; }

    mod_int operator*(const mod_int &rhs) const { return mod_int(*this) *= rhs; }

    mod_int operator/(const mod_int &rhs) const { return mod_int(*this) /= rhs; }

    bool operator<(const mod_int &rhs) const { return x < rhs.x; }

    mod_int inv() const {
        assert(x != 0);
        if (x <= static_cast<signed>(TABLE_SIZE)) {
            if (_inv[1].x == 0) prepare();
            return _inv[x];
        } else {
            signed a = x, b = MODULO, u = 1, v = 0, t;
            while (b) {
                t = a / b;
                a -= t * b;
                std::swap(a, b);
                u -= t * v;
                std::swap(u, v);
            }
            return mod_int(u);
        }
    }

    mod_int pow(long long t) const {
        assert(!(x == 0 && t == 0));
        mod_int e = *this, res = mod_int(1);
        for (; t; e *= e, t >>= 1)
            if (t & 1) res *= e;
        return res;
    }

    mod_int fact() {
        if (_fact[0].x == 0) prepare();
        return _fact[x];
    }

    mod_int inv_fact() {
        if (_fact[0].x == 0) prepare();
        return _inv_fact[x];
    }

    mod_int choose(mod_int y) {
        assert(y.x <= x);
        return this->fact() * y.inv_fact() * mod_int(x - y.x).inv_fact();
    }

    static mod_int _inv[TABLE_SIZE + 1];

    static mod_int _fact[TABLE_SIZE + 1];

    static mod_int _inv_fact[TABLE_SIZE + 1];

    static void prepare() {
        _inv[1] = 1;
        for (int i = 2; i <= (int)TABLE_SIZE; ++i) {
            _inv[i] = 1LL * _inv[MODULO % i].x * (MODULO - MODULO / i) % MODULO;
        }
        _fact[0] = 1;
        for (unsigned i = 1; i <= TABLE_SIZE; ++i) {
            _fact[i] = _fact[i - 1] * int(i);
        }
        _inv_fact[TABLE_SIZE] = _fact[TABLE_SIZE].inv();
        for (int i = (int)TABLE_SIZE - 1; i >= 0; --i) {
            _inv_fact[i] = _inv_fact[i + 1] * (i + 1);
        }
    }
};

template <int M, unsigned F>
std::ostream &operator<<(std::ostream &os, const mod_int<M, F> &rhs) {
    return os << rhs.x;
}

template <int M, unsigned F>
std::istream &operator>>(std::istream &is, mod_int<M, F> &rhs) {
    long long s;
    is >> s;
    rhs = mod_int<M, F>(s);
    return is;
}

template <int M, unsigned F>
mod_int<M, F> mod_int<M, F>::_inv[TABLE_SIZE + 1];

template <int M, unsigned F>
mod_int<M, F> mod_int<M, F>::_fact[TABLE_SIZE + 1];

template <int M, unsigned F>
mod_int<M, F> mod_int<M, F>::_inv_fact[TABLE_SIZE + 1];

template <int M, unsigned F>
bool operator==(const mod_int<M, F> &lhs, const mod_int<M, F> &rhs) {
    return lhs.x == rhs.x;
}

template <int M, unsigned F>
bool operator!=(const mod_int<M, F> &lhs, const mod_int<M, F> &rhs) {
    return !(lhs == rhs);
}

const int MF = 1000010;
const int MOD = 1000000007;
//const int MOD = 998244353;

using mint = mod_int<MOD, MF>;

mint binom(int n, int r) { return (r < 0 || r > n || n < 0) ? 0 : mint(n).choose(r); }

mint fact(int n) { return mint(n).fact(); }

mint inv_fact(int n) { return mint(n).inv_fact(); }
class No1260 {
public:

void solve(std::istream& cin, std::ostream& cout, std::ostream& cerr) {
    ll N;cin >> N;
    ll MX = 1e6+5;
    mint ans = 0;
    const ll MOD = 1e9+7;
    if(N>10*MX){
//        if(N>MX*10){
        FOR(B,2,MX){
            {
                ll A = N;
                while(A)(ans+= A%B), A/=B;
            }
        }
        mint t;
        ll curr = N;
        FOR(i,1,MX){
            if((N+(i+1)-1)/(i+1)>MX){
                t = (curr - N/(i+1)), ans += t*i+t*(N-i*curr + N-i*(N/(i+1)+1))/2, curr = (N)/(i+1);
            }
            else {
                t = curr - MX + 1, ans += t*i+t*(N-i*curr + N-i*MX)/2;
                break;
            }
            DBG(i, t, curr, ans)
        }
    }else
    FOR(B,2,N+1){
        {
            ll A = N;
            while(A)(ans+= A%B), A/=B;
        }
    }
    print(ans);

}


};


#undef int
int main() {

	No1260 solver;
	std::istream& in(std::cin);
	std::ostream& out(std::cout);
    std::ostringstream err;
	in.tie(0); ios::sync_with_stdio(0);
    solver.solve(in, out,err);
	return 0;
}

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結果

テストケース

ソースコード