#line 1 "main.cpp" #include #include #line 2 "/home/wa_haya_exe/CP_Library/C++/math/Modint.hpp" #pragma GCC diagnostic ignored "-Wdeprecated-copy" #line 6 "/home/wa_haya_exe/CP_Library/C++/math/Modint.hpp" #include #line 8 "/home/wa_haya_exe/CP_Library/C++/math/Modint.hpp" #include #include #include #ifndef TEMPLATE typedef long long ll; typedef unsigned uint; typedef unsigned long long ul; #endif template struct Modint { uint num = 0; constexpr Modint() noexcept {} constexpr Modint(const Modint &x) noexcept : num(x.num){} constexpr operator ll() const noexcept { return num; } constexpr static uint get_mod(){ return mod; } constexpr Modint& operator+=(Modint x) noexcept { num += x.num; if(num >= mod) num -= mod; return *this; } constexpr Modint& operator++() noexcept { if(num == mod - 1) num = 0; else num++; return *this; } constexpr Modint operator++(int) noexcept { Modint ans(*this); operator++(); return ans; } constexpr Modint operator-() const noexcept { return Modint(0) -= *this; } constexpr Modint& operator-=(Modint x) noexcept { if(num < x.num) num += mod; num -= x.num; return *this; } constexpr Modint& operator--() noexcept { if(num == 0) num = mod - 1; else num--; return *this; } constexpr Modint operator--(int) noexcept { Modint ans(*this); operator--(); return ans; } constexpr Modint& operator*=(Modint x) noexcept { num = ul(num) * x.num % mod; return *this; } constexpr Modint& operator/=(Modint x) noexcept { return operator*=(x.inv()); } constexpr void operator%=(Modint x) noexcept { void(0); } template constexpr Modint(T x) noexcept { using U = typename std::conditional= 4, T, int>::type; U y = x; y %= U(mod); if(y < 0) y += mod; num = uint(y); } template constexpr Modint operator+(T x) const noexcept { return Modint(*this) += x; } template constexpr Modint& operator+=(T x) noexcept { return operator+=(Modint(x)); } template constexpr Modint operator-(T x) const noexcept { return Modint(*this) -= x; } template constexpr Modint& operator-=(T x) noexcept { return operator-=(Modint(x)); } template constexpr Modint operator*(T x) const noexcept { return Modint(*this) *= x; } template constexpr Modint& operator*=(T x) noexcept { return operator*=(Modint(x)); } template constexpr Modint operator/(T x) const noexcept { return Modint(*this) /= x; } template constexpr Modint& operator/=(T x) noexcept { return operator/=(Modint(x)); } constexpr Modint inv() const noexcept { ll x = 0, y = 0; extgcd(num, mod, x, y); return x; } static constexpr ll extgcd(ll a, ll b, ll &x, ll &y) noexcept { ll g = a; x = 1; y = 0; if(b){ g = extgcd(b, a % b, y, x); y -= a / b * x; } return g; } constexpr Modint pow(ul x) const noexcept { Modint ans = 1, cnt = *this; while(x){ if(x & 1) ans *= cnt; cnt *= cnt; x /= 2; } return ans; } friend std::ostream& operator<<(std::ostream& os, const Modint& m){ os << m.num; return os; } friend std::istream &operator>>(std::istream &is, Modint &a) { ll t; is >> t; a=Modint(t); return (is); } }; using mint = Modint<998244353>; using Mint = Modint<1000000007>; template inline T msum(const std::vector &v){ return std::accumulate(v.begin(), v.end(), mint(0)); } template inline T msum(const std::vector &v, ll a, ll b){ return std::accumulate(v.begin() + a, v.begin() + b, mint(0)); } template inline T mmul(const std::vector &v){ return std::accumulate(v.begin(), v.end(), mint(1), [](T acc, T i){ return acc*i; }); } template inline T mmul(const std::vector &v, ll a, ll b){ return std::accumulate(v.begin() + a, v.begin() + b, mint(1), [](T acc, T i){ return acc*i; }); } template struct Comb { private: std::vector fac{1},inv{1}; void reserve(ul a){ if(fac.size()>=a) return; if(a=mint::get_mod()) a=mint::get_mod(); while(fac.size()>24){ mint ans=1; for(int i = 0; i < r; ++i) ans*=n--; return ans; } reserve(n+1); return fac[n]*inv[n-r]; } mint nCr(const ll n, ll r){ if(r<0 || n= 0 ? x % get_mod() : (get_mod() - (-x) % get_mod()) % get_mod()){} int getmod() { return get_mod(); } static int &get_mod() { static int mod = 0; return mod; } static void set_mod(int md) { assert(md>0); get_mod() = md; } a_mint &operator+=(const a_mint &p) { if ((val += p.val) >= get_mod()) val -= get_mod(); return *this; } a_mint &operator-=(const a_mint &p) { if((val += get_mod() - p.val) >= get_mod()) val -= get_mod(); return *this; } a_mint &operator*=(const a_mint &p) { val = (int)(1LL * val * p.val % get_mod()); return *this; } a_mint &operator/=(const a_mint &p) { *this *= p.inv(); return *this; } a_mint operator-() const { return a_mint(-val); } a_mint operator+(const a_mint &p) const { return a_mint(*this) += p; } a_mint operator-(const a_mint &p) const { return a_mint(*this) -= p; } a_mint operator*(const a_mint &p) const { return a_mint(*this) *= p; } a_mint operator/(const a_mint &p) const { return a_mint(*this) /= p; } a_mint& operator++() noexcept { if(val == get_mod() - 1) val = 0; else val++; return *this; } a_mint operator++(int) noexcept { a_mint ans(*this); operator++(); return ans; } a_mint& operator--() noexcept { if(val == 0) val = get_mod() - 1; else val--; return *this; } a_mint operator--(int) noexcept { a_mint ans(*this); operator--(); return ans; } bool operator==(const a_mint &p) const { return val == p.val; } bool operator!=(const a_mint &p) const { return val != p.val; } bool operator!() const { return val == 0; } bool operator<=(const a_mint &p) const { return val <= p.val; } bool operator>=(const a_mint &p) const { return val >= p.val; } bool operator<(const a_mint &p) const { return val < p.val; } bool operator>(const a_mint &p) const { return val > p.val; } a_mint inv() const { int a=val, b=get_mod(), u=1, v=0, t; while(b>0) { t=a/b; std::swap(a -= t*b,b); std::swap(u -= t*v,v); } return a_mint(u); } a_mint pow(ll n) const { a_mint res(1), mul(val); while(n>0) { if(n & 1) res *= mul; mul *= mul; n >>= 1; } return res; } friend std::ostream &operator<<(std::ostream &os, const a_mint &p) { return os << p.val; } friend std::istream &operator>>(std::istream &is, a_mint &a) { ll t; is >> t; a=a_mint(t); return is; } }; /** * @brief Modint * @docs docs/Modint.md * @see https://atcoder.jp/contests/arc151/submissions/35526971 */ #line 4 "main.cpp" int main() { int n, k; std::cin >> n >> k; std::vector dp(n + 1); dp[0] = 1; for(int i = 0; i < n; ++i) { if(i + k <= n) { dp[i + k] += dp[i]; } dp[i + 1] += dp[i]; } std::cout << dp[n] << '\n'; }