#include using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using vi = vector; using vvi = vector; using vvvi = vector; using vll = vector; using vvll = vector; using vvvll = vector; using vld = vector; using vvld = vector; using vvvld = vector; using vs = vector; using pll = pair; using vp = vector; #define rep(i, n) for(ll i = 0, i##_end = (n); i < i##_end; i++) #define repb(i, n) for(ll i = (n)-1; i >= 0; i--) #define repr(i, a, b) for(ll i = (a), i##_end = (b); i < i##_end; i++) #define reprb(i, a, b) for(ll i = (b)-1, i##_end = (a); i >= i##_end; i--) #define ALL(a) (a).begin(), (a).end() #define SZ(x) ((ll)(x).size()) const ll MOD = 1000000007; const ll INF = 100000000000000000LL; const ld EPS = 1e-12L; const ld PI = 3.1415926535897932385L; inline ll GCD(ll a, ll b){ return b?GCD(b, a % b):a; } inline ll LCM(ll a, ll b){ return a/GCD(a, b)*b; } inline ll powmod(ll x, ll y, ll m = MOD){ ll r=1; while(y){ if(y&1) r*=x; x*=x; r%=m; x%=m; y>>=1; } return r; } templateinline bool chmax(S &a, const T &b){ if(ainline bool chmin(S &a, const T &b){ if(b void print(const T &x){ cout << x << endl; } template void print(const vector &x){ rep(i, SZ(x)){ cout << x[i] << " \n"[i+1==SZ(x)]; } cout << flush; } template void print(const vector &x, ll s, ll n){ repr(i, s, n){ cout << x[i] << " \n"[i+1==n]; } cout << flush; } template void printv(const vector &x){ rep(i, SZ(x)){ cout << x[i] << "\n"; } cout << flush; } template void printv(const vector &x, ll s, ll n){ repr(i, s, n){ cout << x[i] << "\n"; } cout << flush; } template void print(const vector> &x){ rep(i, SZ(x)){ rep(j, SZ(x[i])){ cout << x[i][j] << " \n"[j+1==SZ(x[i])]; } } cout << flush; } template void print(const vector> &x, ll s1, ll n1, ll s2, ll n2){ repr(i, s1, n1){ repr(j, s2, n2){ cout << x[i][j] << " \n"[j+1==n2]; } } cout << flush; } template void print(const T (&x)[S], ll s = 0, ll n = S){ repr(i, s, n){ cout << x[i] << " \n"[i+1==n]; } cout << flush; } template void printv(const T (&x)[S], ll s = 0, ll n = S){ repr(i, s, n){ cout << x[i] << "\n"; } cout << flush; } template void print(const T (&x)[S1][S2], ll s1 = 0, ll n1 = S1, ll s2 = 0, ll n2 = S2){ repr(i, s1, n1){ repr(j, s2, n2){ cout << x[i][j] << " \n"[j+1==n2]; } } cout << flush; } #ifdef OJ_LOCAL #include "dump.hpp" #else #define dump(...) ((void)0) #endif // ModInt // 参考:https://ei1333.github.io/luzhiled/snippets/math/mod-int.html // modはコンパイル時に決定 template struct ModInt { ll x; ModInt() : x(0) {} ModInt(ll y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod){} constexpr ModInt &operator+=(const ModInt &p){ if((x += p.x) >= mod) x -= mod; return *this; } constexpr ModInt &operator-=(const ModInt &p){ if((x += mod - p.x) >= mod) x -= mod; return *this; } constexpr ModInt &operator*=(const ModInt &p){ x = x * p.x % mod; return *this; } constexpr ModInt &operator/=(const ModInt &p){ *this *= p.inverse(); return *this; } constexpr ModInt operator-(){ return ModInt(-x); } constexpr ModInt operator+(const ModInt &p){ return ModInt(*this) += p; } constexpr ModInt operator-(const ModInt &p){ return ModInt(*this) -= p; } constexpr ModInt operator*(const ModInt &p){ return ModInt(*this) *= p; } constexpr ModInt operator/(const ModInt &p){ return ModInt(*this) /= p; } constexpr bool operator==(const ModInt &p){ return x == p.x; } constexpr bool operator!=(const ModInt &p){ return x != p.x; } constexpr ModInt inverse() const{ ll a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } constexpr ModInt pow(ll n) { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream &operator<<(ostream &os, const ModInt &p){ return os << p.x; } friend istream &operator>>(istream &is, ModInt &a){ ll t; is >> t; a = ModInt< mod >(t); return (is); } }; using mint = ModInt; using vm = vector; using vvm = vector; const int MAX = 200010; mint fac[MAX], facinv[MAX]; void combInit(){ fac[0] = mint(1); facinv[0] = mint(1); for(int i = 0; i < MAX-1; i++){ fac[i+1] = fac[i]*(i+1); facinv[i+1] = fac[i+1].inverse(); } } mint comb(const ll a, const ll b){ assert(a < MAX); assert(b < MAX); if(a < 0 || b < 0 || b > a){ return mint(0); } mint ret(1); ret *= fac[a]; ret *= facinv[b]; ret *= facinv[a-b]; return ret; } int main(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(15); ll n; cin >> n; n -= 4; mint m(n); mint all = (m+1)*(m+2)/2; mint pri = (n % 3 == 0 ? 1 : 0); mint sec = (n % 3 == 0 ? n/2 : n/2+1); mint ter = (all - pri - sec*3)/6; cout << pri+sec+ter << endl; return 0; }