#1004313 (C++23) No.2857 Div Array

提出ソース
結果

問題	No.2857 Div Array
ユーザー	noya2
提出日時	2024-08-25 13:57:10
言語	C++23 (gcc 13.3.0 + boost 1.87.0)
結果	AC
実行時間	28 ms / 2,000 ms
コード長	23,911 bytes
コンパイル時間	3,472 ms
コンパイル使用メモリ	267,632 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-08-25 13:57:15
合計ジャッジ時間	4,489 ms
ジャッジサーバーID （参考情報）	judge5 / judge3
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ファイルパターン	結果
other	AC * 30
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raw source code
#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"
using namespace std;

#include<bits/stdc++.h>
#line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp"
namespace noya2 {

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

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v){
    int s = (int)v.size();
    for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
    return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v){
    for (auto &x : v) is >> x;
    return is;
}

void in() {}
template <typename T, class... U>
void in(T &t, U &...u){
    cin >> t;
    in(u...);
}

void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u){
    cout << t;
    if (sizeof...(u)) cout << sep;
    out(u...);
}

template<typename T>
void out(const vector<vector<T>> &vv){
    int s = (int)vv.size();
    for (int i = 0; i < s; i++) out(vv[i]);
}

struct IoSetup {
    IoSetup(){
        cin.tie(nullptr);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(15);
        cerr << fixed << setprecision(7);
    }
} iosetup_noya2;

} // namespace noya2
#line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp"
namespace noya2{

const int iinf = 1'000'000'007;
const long long linf = 2'000'000'000'000'000'000LL;
const long long mod998 =  998244353;
const long long mod107 = 1000000007;
const long double pi = 3.14159265358979323;
const vector<int> dx = {0,1,0,-1,1,1,-1,-1};
const vector<int> dy = {1,0,-1,0,1,-1,-1,1};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";

void yes(){ cout << "Yes\n"; }
void no(){ cout << "No\n"; }
void YES(){ cout << "YES\n"; }
void NO(){ cout << "NO\n"; }
void yn(bool t){ t ? yes() : no(); }
void YN(bool t){ t ? YES() : NO(); }

} // namespace noya2
#line 2 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp"

#line 6 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp"

namespace noya2{

unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){
    if (a == 0 || b == 0) return a + b;
    int n = __builtin_ctzll(a); a >>= n;
    int m = __builtin_ctzll(b); b >>= m;
    while (a != b) {
        int mm = __builtin_ctzll(a - b);
        bool f = a > b;
        unsigned long long c = f ? a : b;
        b = f ? b : a;
        a = (c - b) >> mm;
    }
    return a << std::min(n, m);
}

template<typename T> T gcd_fast(T a, T b){ return static_cast<T>(inner_binary_gcd(std::abs(a),std::abs(b))); }

long long sqrt_fast(long long n) {
    if (n <= 0) return 0;
    long long x = sqrt(n);
    while ((x + 1) * (x + 1) <= n) x++;
    while (x * x > n) x--;
    return x;
}

template<typename T> T floor_div(const T n, const T d) {
    assert(d != 0);
    return n / d - static_cast<T>((n ^ d) < 0 && n % d != 0);
}

template<typename T> T ceil_div(const T n, const T d) {
    assert(d != 0);
    return n / d + static_cast<T>((n ^ d) >= 0 && n % d != 0);
}

template<typename T> void uniq(std::vector<T> &v){
    std::sort(v.begin(),v.end());
    v.erase(unique(v.begin(),v.end()),v.end());
}

template <typename T, typename U> inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; }

template <typename T, typename U> inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; }

template<typename T> inline bool range(T l, T x, T r){ return l <= x && x < r; }

} // namespace noya2
#line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"

#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define repp(i,m,n) for (int i = (m); i < (int)(n); i++)
#define reb(i,n) for (int i = (int)(n-1); i >= 0; i--)
#define all(v) (v).begin(),(v).end()

using ll = long long;
using ld = long double;
using uint = unsigned int;
using ull = unsigned long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;

namespace noya2{

/*　~ (. _________ . /)　*/

}

using namespace noya2;


#line 2 "c.cpp"

#line 2 "/Users/noya2/Desktop/Noya2_library/math/matrix.hpp"

#line 6 "/Users/noya2/Desktop/Noya2_library/math/matrix.hpp"
#include <ranges>
#line 8 "/Users/noya2/Desktop/Noya2_library/math/matrix.hpp"

namespace noya2 {

template<typename T, size_t hw = -1uz>
struct matrix {
    static constexpr int h = hw, w = hw;
    std::array<T, hw*hw> m;
    matrix () : m({}) {}
    matrix (const std::array<T, hw*hw> &_m) : m(_m) {}
    matrix (const std::array<std::array<T, hw>, hw> &_m){
        for (int i = 0; i < h; i++) for (int j = 0; j < w; j++){
            m[idx(i,j)] = _m[i][j];
        }
    }
    matrix (const std::vector<std::vector<T>> &_m){
        for (int i = 0; i < h; i++) for (int j = 0; j < w; j++){
            m[idx(i,j)] = _m[i][j];
        }
    }
    auto operator[](int i) const {
        return std::ranges::subrange(m.begin()+i*w,m.begin()+(i+1)*w);
    }
    auto operator[](int i){
        return std::ranges::subrange(m.begin()+i*w,m.begin()+(i+1)*w);
    }
    matrix &operator+= (const matrix &r){
        for (int i = 0; i < h; ++i){
            for (int j = 0; j < w; ++j){
                m[idx(i,j)] += r.m[idx(i,j)];
            }
        }
        return *this;
    }
    matrix &operator-= (const matrix &r){
        for (int i = 0; i < h; ++i){
            for (int j = 0; j < w; ++j){
                m[idx(i,j)] -= r.m[idx(i,j)];
            }
        }
        return *this;
    }
    matrix &operator*= (const matrix &r){
        matrix ret;
        for (int i = 0; i < h; i++){
            for (int k = 0; k < w; k++){
                for (int j = 0; j < r.w; j++){
                    ret.m[idx(i,j)] += m[idx(i,k)] * r.m[idx(k,j)];
                }
            }
        }
        return *this = ret;
    }
    matrix operator+ (const matrix &r) const { return matrix(*this) += r; }
    matrix operator- (const matrix &r) const { return matrix(*this) -= r; }
    matrix operator* (const matrix &r) const { return matrix(*this) *= r; }
    matrix& operator*=(const T &r){
        for (int i = 0; i < h; ++i){
            for (int j = 0; j < w; ++j){
                m[idx(i,j)] *= r;
            }
        }
        return *this;
    }
    friend matrix operator* (const T &r, const matrix &mat){
        return matrix(mat) *= r;
    }
    friend matrix operator* (const matrix &mat, const T &r){
        return matrix(mat) *= r;
    }
    matrix pow(long long n){
        if (n == 0) return e();
        matrix f = pow(n / 2);
        matrix ret = f * f;
        if (n & 1) ret *= (*this);
        return ret;
    }
    int idx(int i, int j){
        return i * w + j;
    }
    static matrix e(){
        matrix ret;
        for (int i = 0; i < h; i++){
            ret[i][i] = T(1);
        }
        return ret;
    }
    friend std::ostream &operator<<(std::ostream &os, const matrix &mat){
        for (int i = 0; i < mat.h; i++){
            if (i != 0) os << '\n';
            for (int j = 0; j < mat.w; j++){
                if (j != 0) os << ' ';
                os << mat[i][j];
            }
        }
        return os;
    }
    friend std::istream &operator>>(std::istream &is, matrix &mat){
        for (int i = 0; i < mat.h; i++){
            for (int j = 0; j < mat.w; j++){
                is >> mat[i][j];
            }
        }
        return is;
    }
    friend bool operator==(const matrix &a, const matrix &b){
        for (int i = 0; i < a.h; i++){
            for (int j = 0; j < a.w; j++){
                if (a[i][j] != b[i][j]){
                    return false;
                }
            }
        }
        return true;
    }
};

template<typename T>
struct matrix<T,-1uz> {
    int h, w;
    std::vector<T> m;
    matrix () {}
    matrix (int _h) : matrix(_h,_h) {}
    matrix (int _h, int _w) : h(_h), w(_w), m(_h*_w) {}
    matrix (int _h, int _w, const std::vector<T> &_m) : h(_h), w(_w), m(_m) {
        assert((int)_m.size() == _h*_w);
    }
    matrix (const std::vector<std::vector<T>> &_m){
        h = _m.size();
        assert(h >= 1);
        w = _m[0].size();
        for (int i = 0; i < h; i++) for (int j = 0; j < w; j++){
            m[idx(i,j)] = _m[i][j];
        }
    }
    auto operator[](int i) const {
        return std::ranges::subrange(m.begin()+i*w,m.begin()+(i+1)*w);
    }
    auto operator[](int i){
        return std::ranges::subrange(m.begin()+i*w,m.begin()+(i+1)*w);
    }
    matrix &operator+= (const matrix &r){
        for (int i = 0; i < h; ++i){
            for (int j = 0; j < w; ++j){
                m[idx(i,j)] += r.m[idx(i,j)];
            }
        }
        return *this;
    }
    matrix &operator-= (const matrix &r){
        for (int i = 0; i < h; ++i){
            for (int j = 0; j < w; ++j){
                m[idx(i,j)] -= r.m[idx(i,j)];
            }
        }
        return *this;
    }
    matrix &operator*= (const matrix &r){
        matrix ret(h, r.w);
        for (int i = 0; i < h; i++){
            for (int k = 0; k < w; k++){
                for (int j = 0; j < r.w; j++){
                    ret.m[idx(i,j)] += m[idx(i,k)] * r.m[idx(k,j)];
                }
            }
        }
        return *this = ret;
    }
    matrix operator+ (const matrix &r) const { return matrix(*this) += r; }
    matrix operator- (const matrix &r) const { return matrix(*this) -= r; }
    matrix operator* (const matrix &r) const { return matrix(*this) *= r; }
    matrix& operator*=(const T &r){
        for (int i = 0; i < h; ++i){
            for (int j = 0; j < w; ++j){
                m[idx(i,j)] *= r;
            }
        }
        return *this;
    }
    friend matrix operator* (const T &r, const matrix &mat){
        return matrix(mat) *= r;
    }
    friend matrix operator* (const matrix &mat, const T &r){
        return matrix(mat) *= r;
    }
    matrix pow(long long n){
        if (n == 0) return e(h);
        matrix f = pow(n / 2);
        matrix ret = f * f;
        if (n & 1) ret *= (*this);
        return ret;
    }
    int idx(int i, int j){
        return i * w + j;
    }
    static matrix e(int _h){
        auto ret = matrix(_h, _h);
        for (int i = 0; i < _h; i++){
            ret[i][i] = T(1);
        }
        return ret;
    }
    friend std::ostream &operator<<(std::ostream &os, const matrix &mat){
        for (int i = 0; i < mat.h; i++){
            if (i != 0) os << '\n';
            for (int j = 0; j < mat.w; j++){
                if (j != 0) os << ' ';
                os << mat[i][j];
            }
        }
        return os;
    }
    friend std::istream &operator>>(std::istream &is, matrix &mat){
        for (int i = 0; i < mat.h; i++){
            for (int j = 0; j < mat.w; j++){
                is >> mat[i][j];
            }
        }
        return is;
    }
};

template<typename T, size_t _hw = -1uz>
T determinant(matrix<T, _hw> mat){
    int hw = mat.h;
    T ret = 1;
    for (int i = 0; i < hw; i++) {
        int idx = -1;
        for (int j = i; j < hw; j++) {
            if (mat[j][i] != 0) {
                idx = j;
                break;
            }
        }
        if (idx == -1) return 0;
        if (i != idx) {
            ret *= T(-1);
            for (int j = 0; j < hw; j++){
                std::swap(mat[i][j],mat[idx][j]);
            }
        }
        ret *= mat[i][i];
        T inv = T(1) / mat[i][i];
        for (int j = 0; j < hw; j++) {
            mat[i][j] *= inv;
        }
        for (int j = i + 1; j < hw; j++) {
            T a = mat[j][i];
            if (a == 0) continue;
            for (int k = i; k < hw; k++) {
                mat[j][k] -= mat[i][k] * a;
            }
        }
    }
    return ret;
}

} // namespace noya2
#line 2 "/Users/noya2/Desktop/Noya2_library/utility/modint.hpp"

#line 4 "/Users/noya2/Desktop/Noya2_library/utility/modint.hpp"

#line 2 "/Users/noya2/Desktop/Noya2_library/math/prime.hpp"

#line 4 "/Users/noya2/Desktop/Noya2_library/math/prime.hpp"
namespace noya2 {

constexpr long long safe_mod(long long x, long long m) {
    x %= m;
    if (x < 0) x += m;
    return x;
}

constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
    if (m == 1) return 0;
    unsigned int _m = (unsigned int)(m);
    unsigned long long r = 1;
    unsigned long long y = safe_mod(x, m);
    while (n) {
        if (n & 1) r = (r * y) % _m;
        y = (y * y) % _m;
        n >>= 1;
    }
    return r;
}

constexpr bool is_prime_constexpr(int n) {
    if (n <= 1) return false;
    if (n == 2 || n == 7 || n == 61) return true;
    if (n % 2 == 0) return false;
    long long d = n - 1;
    while (d % 2 == 0) d /= 2;
    constexpr long long bases[3] = {2, 7, 61};
    for (long long a : bases) {
        long long t = d;
        long long y = pow_mod_constexpr(a, t, n);
        while (t != n - 1 && y != 1 && y != n - 1) {
            y = y * y % n;
            t <<= 1;
        }
        if (y != n - 1 && t % 2 == 0) {
            return false;
        }
    }
    return true;
}
template <int n> constexpr bool is_prime_flag = is_prime_constexpr(n);

constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
    a = safe_mod(a, b);
    if (a == 0) return {b, 0};
    long long s = b, t = a;
    long long m0 = 0, m1 = 1;
    while (t) {
        long long u = s / t;
        s -= t * u;
        m0 -= m1 * u; 
        auto tmp = s;
        s = t;
        t = tmp;
        tmp = m0;
        m0 = m1;
        m1 = tmp;
    }
    if (m0 < 0) m0 += b / s;
    return {s, m0};
}

constexpr int primitive_root_constexpr(int m) {
    if (m == 2) return 1;
    if (m == 167772161) return 3;
    if (m == 469762049) return 3;
    if (m == 754974721) return 11;
    if (m == 998244353) return 3;
    int divs[20] = {};
    divs[0] = 2;
    int cnt = 1;
    int x = (m - 1) / 2;
    while (x % 2 == 0) x /= 2;
    for (int i = 3; (long long)(i)*i <= x; i += 2) {
        if (x % i == 0) {
            divs[cnt++] = i;
            while (x % i == 0) {
                x /= i;
            }
        }
    }
    if (x > 1) {
        divs[cnt++] = x;
    }
    for (int g = 2;; g++) {
        bool ok = true;
        for (int i = 0; i < cnt; i++) {
            if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
                ok = false;
                break;
            }
        }
        if (ok) return g;
    }
}
template <int m> constexpr int primitive_root_flag = primitive_root_constexpr(m);

constexpr long long primitive_root_constexpr(long long m){
    if (m == (1LL << 47) - (1LL << 24) + 1) return 3;
    return primitive_root_constexpr(static_cast<int>(m));
}

} // namespace noya2
#line 6 "/Users/noya2/Desktop/Noya2_library/utility/modint.hpp"

namespace noya2{

struct barrett {
    unsigned int _m;
    unsigned long long im;
    explicit barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
    unsigned int umod() const { return _m; }
    unsigned int mul(unsigned int a, unsigned int b) const {
        unsigned long long z = a;
        z *= b;
        unsigned long long x = (unsigned long long)((__uint128_t(z) * im) >> 64);
        unsigned int v = (unsigned int)(z - x * _m);
        if (_m <= v) v += _m;
        return v;
    }
};

template <int m>
struct static_modint {
    using mint = static_modint;
  public:
    static constexpr int mod() { return m; }
    static mint raw(int v) {
        mint x;
        x._v = v;
        return x;
    }
    constexpr static_modint() : _v(0) {}
    template<std::signed_integral T>
    constexpr static_modint(T v){
        long long x = (long long)(v % (long long)(umod()));
        if (x < 0) x += umod();
        _v = (unsigned int)(x);
    }
    template<std::unsigned_integral T>
    constexpr static_modint(T v){
        _v = (unsigned int)(v % umod());
    }
    constexpr unsigned int val() const { return _v; }
    mint& operator++() {
        _v++;
        if (_v == umod()) _v = 0;
        return *this;
    }
    mint& operator--() {
        if (_v == 0) _v = umod();
        _v--;
        return *this;
    }
    mint operator++(int) {
        mint result = *this;
        ++*this;
        return result;
    }
    mint operator--(int) {
        mint result = *this;
        --*this;
        return result;
    }
    constexpr mint& operator+=(const mint& rhs) {
        _v += rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    constexpr mint& operator-=(const mint& rhs) {
        _v -= rhs._v;
        if (_v >= umod()) _v += umod();
        return *this;
    }
    constexpr mint& operator*=(const mint& rhs) {
        unsigned long long z = _v;
        z *= rhs._v;
        _v = (uint)(z % umod());
        return *this;
    }
    constexpr mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }
    constexpr mint operator+() const { return *this; }
    constexpr mint operator-() const { return mint() - *this; }
    constexpr mint pow(long long n) const {
        assert(0 <= n);
        mint x = *this, r = 1;
        while (n) {
            if (n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    constexpr mint inv() const {
        if (prime) {
            assert(_v);
            return pow(umod() - 2);
        } else {
            auto eg = inv_gcd(_v, m);
            assert(eg.first == 1);
            return eg.second;
        }
    }
    friend constexpr mint operator+(const mint& lhs, const mint& rhs) {
        return mint(lhs) += rhs;
    }
    friend constexpr mint operator-(const mint& lhs, const mint& rhs) {
        return mint(lhs) -= rhs;
    }
    friend constexpr mint operator*(const mint& lhs, const mint& rhs) {
        return mint(lhs) *= rhs;
    }
    friend constexpr mint operator/(const mint& lhs, const mint& rhs) {
        return mint(lhs) /= rhs;
    }
    friend constexpr bool operator==(const mint& lhs, const mint& rhs) {
        return lhs._v == rhs._v;
    }
    friend constexpr bool operator!=(const mint& lhs, const mint& rhs) {
        return lhs._v != rhs._v;
    }
    friend std::ostream &operator<<(std::ostream &os, const mint& p) {
        return os << p.val();
    }
    friend std::istream &operator>>(std::istream &is, mint &a) {
        long long t; is >> t;
        a = mint(t);
        return (is);
    }

  private:
    unsigned int _v;
    static constexpr unsigned int umod() { return m; }
    static constexpr bool prime = is_prime_flag<m>;
};


template <int id> struct dynamic_modint {
    using mint = dynamic_modint;
  public:
    static int mod() { return (int)(bt.umod()); }
    static void set_mod(int m) {
        assert(1 <= m);
        bt = barrett(m);
    }
    static mint raw(int v) {
        mint x;
        x._v = v;
        return x;
    }

    dynamic_modint() : _v(0) {}
    template<std::signed_integral T>
    dynamic_modint(T v){
        long long x = (long long)(v % (long long)(umod()));
        if (x < 0) x += umod();
        _v = (unsigned int)(x);
    }
    template<std::unsigned_integral T>
    dynamic_modint(T v){
        _v = (unsigned int)(v % umod());
    }
    uint val() const { return _v; }
    mint& operator++() {
        _v++;
        if (_v == umod()) _v = 0;
        return *this;
    }
    mint& operator--() {
        if (_v == 0) _v = umod();
        _v--;
        return *this;
    }
    mint operator++(int) {
        mint result = *this;
        ++*this;
        return result;
    }
    mint operator--(int) {
        mint result = *this;
        --*this;
        return result;
    }
    mint& operator+=(const mint& rhs) {
        _v += rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    mint& operator-=(const mint& rhs) {
        _v += mod() - rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    mint& operator*=(const mint& rhs) {
        _v = bt.mul(_v, rhs._v);
        return *this;
    }
    mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }
    mint operator+() const { return *this; }
    mint operator-() const { return mint() - *this; }
    mint pow(long long n) const {
        assert(0 <= n);
        mint x = *this, r = 1;
        while (n) {
            if (n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    mint inv() const {
        auto eg = noya2::inv_gcd(_v, mod());
        assert(eg.first == 1);
        return eg.second;
    }
    friend mint operator+(const mint& lhs, const mint& rhs) {
        return mint(lhs) += rhs;
    }
    friend mint operator-(const mint& lhs, const mint& rhs) {
        return mint(lhs) -= rhs;
    }
    friend mint operator*(const mint& lhs, const mint& rhs) {
        return mint(lhs) *= rhs;
    }
    friend mint operator/(const mint& lhs, const mint& rhs) {
        return mint(lhs) /= rhs;
    }
    friend bool operator==(const mint& lhs, const mint& rhs) {
        return lhs._v == rhs._v;
    }
    friend bool operator!=(const mint& lhs, const mint& rhs) {
        return lhs._v != rhs._v;
    }
    friend std::ostream &operator<<(std::ostream &os, const mint& p) {
        return os << p.val();
    }
    friend std::istream &operator>>(std::istream &is, mint &a) {
        long long t; is >> t;
        a = mint(t);
        return (is);
    }

  private:
    unsigned int _v;
    static barrett bt;
    static unsigned int umod() { return bt.umod(); }
};
template <int id> noya2::barrett dynamic_modint<id>::bt(998244353);

using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;

template<typename T>
concept Modint = requires (T &a){
    T::mod();
    a.inv();
    a.val();
    a.pow(declval<int>());
};

} // namespace noya2
#line 5 "c.cpp"
using mint = modint998244353;
#line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/compress.hpp"

#line 5 "/Users/noya2/Desktop/Noya2_library/data_structure/compress.hpp"

namespace noya2{

template<typename T>
struct compress {
    std::vector<T> raws;
    compress () {}
    compress (const vector<T> &_raws) : raws(_raws){ build(); }
    void build(){
        std::sort(raws.begin(), raws.end());
        raws.erase(std::unique(raws.begin(), raws.end()), raws.end());
    }
    int id(const T &raw){ return lb(raw); }
    T raw(const int &id){ return raws[id]; }
    void add(const T &raw){ raws.emplace_back(raw); }
    void reserve(size_t sz){ raws.reserve(sz); }
    size_t size(){ return raws.size(); }
    int lb(const T &raw){ return lower_bound(all(raws),raw) - raws.begin(); }
    int ub(const T &raw){ return upper_bound(all(raws),raw) - raws.begin(); }
    bool contains(const T &raw){
        int jd = lb(raw);
        if (jd < (int)size()) return raws[jd] == raw;
        return false;
    }
    int contains_id(const T &raw){
        int jd = lb(raw);
        if (jd < (int)size() && raws[jd] == raw) return jd;
        return -1;
    }
};

} // namespace noya2
#line 7 "c.cpp"

void solve(){
    int n, m, k; in(n,m,k);
    compress<int> cp;
    for (int x = 1; x <= m; x++){
        cp.add(m/x);
    }
    cp.build();
    matrix<mint> mat(cp.size());
    rep(i,cp.size()){
        int r = cp.raw(i);
        for (int x = 1; x <= m; x++){
            int d = m/x;
            if (abs(r-d) <= k){
                mat[i][cp.id(d)] += 1;
            }
        }
    }
    matrix<mint> init(1,cp.size());
    for (int x = 1; x <= m; x++){
        init[0][cp.id(m/x)] += 1;
    }
    init *= mat.pow(n-1);
    mint ans = 0;
    rep(i,cp.size()){
        ans += init[0][i];
    }
    out(ans);
}

int main(){
    int t = 1; //in(t);
    while (t--) { solve(); }
}
yukicoder

結果

ソースコード
