#include #define REP(i, n) for (int i = 0; (i) < (int)(n); ++ (i)) #define REP3(i, m, n) for (int i = (m); (i) < (int)(n); ++ (i)) #define REP_R(i, n) for (int i = (int)(n) - 1; (i) >= 0; -- (i)) #define REP3R(i, m, n) for (int i = (int)(n) - 1; (i) >= (int)(m); -- (i)) #define ALL(x) std::begin(x), std::end(x) using namespace std; inline constexpr int32_t modpow(uint_fast64_t x, uint64_t k, int32_t MOD) { assert (0 <= x and x < MOD); uint_fast64_t y = 1; for (; k; k >>= 1) { if (k & 1) (y *= x) %= MOD; (x *= x) %= MOD; } assert (0 <= y and y < MOD); return y; } inline int32_t modinv(int32_t value, int32_t MOD) { assert (0 <= value and value < MOD); assert (value != 0); int64_t a = value, b = MOD; int64_t x = 0, y = 1; for (int64_t u = 1, v = 0; a; ) { int64_t q = b / a; x -= q * u; std::swap(x, u); y -= q * v; std::swap(y, v); b -= q * a; std::swap(b, a); } assert (value * x + MOD * y == b and b == 1); if (x < 0) x += MOD; assert (0 <= x and x < MOD); return x; } template struct mint { int32_t value; mint() : value() {} mint(int64_t value_) : value(value_ < 0 ? value_ % MOD + MOD : value_ >= MOD ? value_ % MOD : value_) {} mint(int32_t value_, std::nullptr_t) : value(value_) {} explicit operator bool() const { return value; } inline constexpr mint operator + (mint other) const { return mint(*this) += other; } inline constexpr mint operator - (mint other) const { return mint(*this) -= other; } inline constexpr mint operator * (mint other) const { return mint(*this) *= other; } inline constexpr mint & operator += (mint other) { this->value += other.value; if (this->value >= MOD) this->value -= MOD; return *this; } inline constexpr mint & operator -= (mint other) { this->value -= other.value; if (this->value < 0) this->value += MOD; return *this; } inline constexpr mint & operator *= (mint other) { this->value = (uint_fast64_t)this->value * other.value % MOD; return *this; } inline constexpr mint operator - () const { return mint(this->value ? MOD - this->value : 0, nullptr); } inline constexpr mint pow(uint64_t k) const { return mint(modpow(value, k, MOD), nullptr); } inline mint inv() const { return mint(modinv(value, MOD), nullptr); } inline constexpr mint operator / (mint other) const { return *this * other.inv(); } inline constexpr mint operator /= (mint other) { return *this *= other.inv(); } inline constexpr bool operator == (mint other) const { return value == other.value; } inline constexpr bool operator != (mint other) const { return value != other.value; } }; template mint operator * (int64_t value, mint n) { return mint(value) * n; } template std::istream & operator >> (std::istream & in, mint & n) { int64_t value; in >> value; n = value; return in; } template std::ostream & operator << (std::ostream & out, mint n) { return out << n.value; } /** * @note O(r) */ template mint simple_choose(int64_t n, int32_t r) { assert (0 <= r and r <= n); mint num = 1; mint den = 1; REP (i, r) { num *= n - i; den *= i + 1; } return num / den; } constexpr int MOD = 1e9 + 7; mint solve(int64_t n) { int64_t k = n - 4; mint unsorted = simple_choose(k + 2, 2); mint all_same = (k % 3 == 0 ? 1 : 0); mint two_same = mint(k / 2 + 1) - all_same; // sorted mint distinct = (unsorted - all_same - 3 * two_same) / 6; return all_same + two_same + distinct; } int main() { int64_t n; cin >> n; cout << solve(n) << endl; return 0; }