#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long int llint; typedef long double lldo; #define mp make_pair #define mt make_tuple #define pub push_back #define puf push_front #define pob pop_back #define pof pop_front #define fir first #define sec second #define res resize #define ins insert #define era erase #define dme cout<<-1<void mineq(T& a,U b){if(a>b){a=b;}} template void maxeq(T& a,U b){if(a std::enable_if_t< std::is_unsigned::value, Arithmetic> ipow(Arithmetic bace, Integral n) { //繰り返し二条法 auto res = (Arithmetic)(1); while (n > 0) { if (n & 1) res *= bace; bace *= bace; n >>= 1; } return res; } template class mint_base; //mint_base_base型用の累乗関数 template constexpr mint_base m_pow(mint_base x, uint64_t n)noexcept; //mod計算を自動で行う整数テンプレートクラス template class mint_base { public: static constexpr auto MOD = MOD_; static_assert(!(MOD <= 2), "MOD cannot be below 2."); static_assert(MOD <= (0xFFFFFFFFFFFFFFFF / 2), "MOD is too big");//加算してオーバーフローしない static_assert(MOD <= 0xFFFFFFFF, "MOD is too big");//乗算してオーバーフローしない constexpr mint_base operator+(const mint_base &other)const noexcept { auto v = *this; return v += other; } constexpr mint_base operator-(const mint_base &other)const noexcept { auto v = *this; return v -= other; } constexpr mint_base operator*(const mint_base &other)const noexcept { auto v = *this; return v *= other; } constexpr auto operator/(const mint_base &other)const noexcept { auto v = *this; return v /= other; } constexpr mint_base& operator+=(const mint_base &other) noexcept { a += other.a; if (MOD <= a) { a -= MOD; }; return *this; } constexpr mint_base& operator-=(const mint_base &other) noexcept { if (a >= other.a) { a -= other.a; } else { a = (a + MOD) - other.a; } return *this; } constexpr mint_base& operator*=(const mint_base &other) noexcept { #if 1 a *= other.a; a %= MOD; #else //MOD <= (MAXUINT64 / 2)条件下 uint64_t b = other.a, v = 0; while (b > 0) { if (b & 1) { v += a; if (v >= MOD)v -= MOD; } a += a; if (MOD <= a)a -= MOD; b >>= 1; } a = v; #endif return *this; } constexpr mint_base& operator/=(const mint_base &other) noexcept { return *this *= ~other; } constexpr mint_base operator+()const noexcept { return *this; } constexpr mint_base operator-()const noexcept { return{ MOD - a, mod_value_tag{} }; } constexpr mint_base& operator++() noexcept { if (MOD <= ++a) { a = 0; }; return *this; } constexpr mint_base& operator--() noexcept { if (a <= 0) { a = MOD; }; --a; return *this; } constexpr mint_base operator++(int) noexcept { auto tmp = *this; ++*this; return tmp; } constexpr mint_base operator--(int) noexcept { auto tmp = *this; --*this; return tmp; } constexpr mint_base operator~()const noexcept { return ipow(*this, e_phi - 1); } constexpr mint_base& operator=(const mint_base &other) noexcept { a = other.a; return *this; } constexpr explicit operator uint64_t()const noexcept { return a; } constexpr explicit operator unsigned()const noexcept { return (unsigned)a; } static constexpr uint64_t getmod() noexcept { return MOD; } constexpr mint_base(uint64_t a_) noexcept :a(a_ % MOD) {} constexpr mint_base()noexcept : a(0) {} struct mod_value_tag {}; constexpr mint_base(uint64_t a_, mod_value_tag) :a(a_) {} private: static constexpr uint64_t get_e_phi()noexcept { //オイラー値の導出 uint64_t temp = MOD; uint64_t m_ = MOD; for (uint64_t i = 2; i * i <= m_; ++i) { if (m_ % i == 0) { temp = temp / i * (i - 1); for (; m_ % i == 0; m_ /= i); } } if (m_ != 1)temp = temp / m_ * (m_ - 1); return temp; } static constexpr uint64_t e_phi = get_e_phi();//オイラー値 uint64_t a; }; //mint_base型用の累乗関数 templateconstexpr mint_base m_pow(mint_base x, uint64_t n)noexcept { mint_base res = 1; while (n > 0) { if (n & 1)res *= x; x *= x; n >>= 1; } return res; } //mint_baseの階乗計算 //O(x)時間が必要のため、fact_set関数を推奨する。 templateconstexpr mint_base fact(mint_base x)noexcept { mint_base res(1); for (uint64_t i = 1; i <= (uint64_t)x; ++i) { res *= i; } return res; } //mint_baseの階乗計算 //0からxまでの階乗を返す //O(x)時間が必要 templatestd::vector> fact_set(mint_base x = mint_base(-1)) { mint_base res(1); std::vector> set((uint64_t)(x)+1); set[0] = 1; for (uint64_t i = 1; i <= (uint64_t)x; ++i) { res *= i; set[i] = res; } return set; } //mint_base型のstreamへの出力 template std::ostream& operator<<(std::ostream& os, mint_base i) { os << (uint64_t)i; return os; } //mint_base型のstreamからの入力 template std::istream& operator >> (std::istream& is, mint_base& i) { uint64_t tmp; is >> tmp; i = tmp; return is; } typedef mint_base<1000000007> mint; namespace mint_literal { constexpr mint operator""_mi(unsigned long long x)noexcept { return mint(x); } } using namespace mint_literal; //mint_baseの階乗計算 //0からxまでの階乗を返す //O(N) template /*constexpr*/ std::array, X + 1> fact_set_c() { mint_base res(1); std::array, X + 1> set; set[0] = 1; for (int32_t i = 1; i <= X; ++i) { res *= i; set[i] = res; } return set; } template RET combination(Integral all, Integral get) { assert(all >= get); get = std::min(all - get, get); #if 1 //時間計算量O(logMOD) static const auto fact_v = fact_set_c<100001>(); return fact_v[all] / (fact_v[get] * fact_v[all - get]); #elif 0 //時間計算量O(1) //空間計算量、初期化時間計算量O(N^2) constexpr int32_t ALL_MAX = 10'000; static std::vector DP_comb[ALL_MAX + 1]; if (!DP_comb[all].empty()) { return DP_comb[all][get]; } if (DP_comb[0].empty()) { DP_comb[0].resize(1); DP_comb[0][0] = (RET)1; DP_comb[1].resize(1); DP_comb[1][0] = (RET)1; } for (int32_t i = 2; i <= all; i++) { if (DP_comb[i].empty()) { int32_t size = i / 2 + 1; DP_comb[i].resize(size); DP_comb[i][0] = (RET)1; for (int32_t j = 1; j < size - 1; j++) { DP_comb[i][j] = DP_comb[i - 1][j - 1] + DP_comb[i - 1][j]; } DP_comb[i][size - 1] = DP_comb[i - 1][size - 2] + DP_comb[i - 1][(i & 1) ? (size - 1) : (size - 2)]; } } return DP_comb[all][get]; #else //時間計算量O(get + logMOD) RET ret = (RET)1; for (Integral i = 1; i <= get; ++i) { ret *= all + 1 - i; ret /= i; } return ret; #endif } int main(void){ int n,m,h,i,j,k; //1,3,6 //1,4,12,24 cin>>n; auto fa=fact_set((mint_base<>)n+10); mint_base<> ans=0,gen=1; for(i=0;i)n-i,i); } cout<