#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define X first #define Y second #define pb push_back #define rep(X,Y) for (int (X) = 0;(X) < (Y);++(X)) #define reps(X,S,Y) for (int (X) = S;(X) < (Y);++(X)) #define rrep(X,Y) for (int (X) = (Y)-1;(X) >=0;--(X)) #define rreps(X,S,Y) for (int (X) = (Y)-1;(X) >= (S);--(X)) #define repe(X,Y) for ((X) = 0;(X) < (Y);++(X)) #define peat(X,Y) for (;(X) < (Y);++(X)) #define all(X) (X).begin(),(X).end() #define rall(X) (X).rbegin(),(X).rend() #define eb emplace_back #define UNIQUE(X) (X).erase(unique(all(X)),(X).end()) #define Endl endl #define NL <<"\n" using namespace std; using ll=long long; using pii=pair; using pll=pair; template using vv=vector>; template inline bool MX(T &l,const T &r){return l inline bool MN(T &l,const T &r){return l>r?l=r,1:0;} //#undef NUIP #ifdef NUIP #include "../benri.h" #else #define out(args...) #endif #ifdef __cpp_init_captures templatevector table(int n, T v){ return vector(n, v);} template auto table(int n, Args... args){auto val = table(args...); return vector(n, move(val));} #endif const ll MOD=1e9+7; //998244353 ll modpow(ll r,ll n,ll m=MOD){ ll re=1,d=r%m; if(n<0)(n%=m-1)+=m-1; for(;n;n/=2){ if(n&1)(re*=d)%=m; (d*=d)%=m; } return re; } template struct modInt{ int v; modInt(int v=0):v(v){} modInt(ll v):v(v%MOD){} modInt operator+(const modInt &n)const{return v+n.v=mod) v-=mod; return *this;} modInt& operator-=(const modInt &n){v-=n.v; if(v<0) v+=mod; return *this;} modInt& operator*=(const modInt &n){v=ll(v)*n.v%mod; return *this;} modInt& operator/=(const modInt &n){v=ll(v)*modpow(n.v,-1,mod)%mod; return *this;} modInt& operator+=(const ll &n){v+=n; if(v>=mod) v-=mod; return *this;} modInt& operator-=(const ll &n){v-=n; if(v<0) v+=mod; return *this;} modInt& operator*=(const ll &n){v=ll(v)*n%mod; return *this;} modInt& operator/=(const ll &n){v=ll(v)*modpow(n,-1,mod)%mod; return *this;} }; #ifdef NUIP class MINT_FRAC____{ public: unordered_map dict; MINT_FRAC____(int n){ rep(p,n+1)reps(q,1,n+1)if(__gcd(p,q)==1){ dict[1ll*p*modpow(q,-1)%MOD]=pii(p,q); dict[MOD-1ll*p*modpow(q,-1)%MOD]=pii(-p,q); } } } Il1Il1Il1(1000); template ostream& operator<<(ostream &os,const modInt &n){if(Il1Il1Il1.dict.count(n.v)) os< ostream& operator<<(ostream &os,const modInt &n){return os< modInt operator+(const ll &n,const modInt &m){return m.v+n modInt operator-(const ll &n,const modInt &m){return n-m.v<0 ? n-m.v+mod : n-m.v;} template modInt operator*(const ll &n,const modInt &m){return ll(m.v)*(n%mod)%mod;} template modInt operator/(const ll &n,const modInt &m){return modInt(n%mod)/m;} typedef modInt mint; template modInt modpow(modInt r,ll n){ modInt re(1); if(n<0)(n%=mod-1)+=mod-1; for(;n;n/=2){if(n&1) re*=r; r*=r;} return re;} vector fact,finv,inv; mint comb(ll n,ll r){ if(n &re,int n){ re.resize(n+1); re[1]=1; for(int i=2;i<=n;++i)re[i]=re[MOD%i]*(MOD-MOD/i);} void Facts(vector &re,int n){ re.resize(n+1); re[0]=1; rep(i,n)re[i+1]=re[i]*(i+1);} void Factinvs(vector &re,const vector &inv,int n){ re.resize(n+1); re[0]=1; rep(i,n)re[i+1]=re[i]*inv[i+1];} public: Doralion(int n){ Modinvs(inv,n); Facts(fact,n); Factinvs(finv,inv,n);} } doralion(1123456); int main(){ ios_base::sync_with_stdio(false); cin.tie(0); cout<>n; n-=4; mint p1=(n%3?0:1); mint p2=(n/2+1)%MOD; mint p3=(n+2)%MOD*((n+1)%MOD)%MOD*inv[2]; out(p1,p2,p3,1); p2-=p1; p3-=3*p2+p1; p3*=finv[3]; cout<