#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define forr(x,arr) for(auto&& x:arr) #define _overload3(_1,_2,_3,name,...) name #define _rep2(i,n) _rep3(i,0,n) #define _rep3(i,a,b) for(int i=int(a);i=int(a);i--) #define rrep(...) _overload3(__VA_ARGS__,_rrep3,_rrep2,)(__VA_ARGS__) #define all(x) (x).begin(),(x).end() #define bit(n) (1LL<<(n)) #define sz(x) ((int)(x).size()) #define TEN(n) ((ll)(1e##n)) #define fst first #define snd second string DBG_DLM(int &i){return(i++==0?"":", ");} #define DBG_B(exp){int i=0;os<<"{";{exp;}os<<"}";return os;} templateostream&operator<<(ostream&os,vectorv); templateostream&operator<<(ostream&os,setv); templateostream&operator<<(ostream&os,queueq); templateostream&operator<<(ostream&os,priority_queueq); templateostream&operator<<(ostream&os,pairp); templateostream&operator<<(ostream&os,mapmp); templateostream&operator<<(ostream&os,unordered_mapmp); templatevoid DBG(ostream&os,TPL t){} templatevoid DBG(ostream&os,TPL t){os<<(I==0?"":", ")<(t);DBG(os,t);} templatevoid DBG(ostream&os,pairp,string delim){os<<"("<ostream&operator<<(ostream&os,tuplet){os<<"(";DBG<0,tuple,Ts...>(os,t);os<<")";return os;} templateostream&operator<<(ostream&os,pairp){DBG(os,p,", ");return os;} templateostream&operator<<(ostream&os,vectorv){DBG_B(forr(t,v){os<ostream&operator<<(ostream&os,sets){DBG_B(forr(t,s){os<ostream&operator<<(ostream&os,queueq){DBG_B(for(;q.size();q.pop()){os<ostream&operator<<(ostream&os,priority_queueq){DBG_B(for(;q.size();q.pop()){os<ostream&operator<<(ostream&os,mapm){DBG_B(forr(p,m){os<");});} templateostream&operator<<(ostream&os,unordered_mapm){DBG_B(forr(p,m){os<");});} #define DBG_OVERLOAD(_1,_2,_3,_4,_5,_6,macro_name,...)macro_name #define DBG_LINE(){char s[99];sprintf(s,"line:%3d | ",__LINE__);cerr<;using pll=pair;using pil=pair;using pli=pair; using vs=vector;using vvs=vector;using vvvs=vector; using vb=vector;using vvb=vector;using vvvb=vector; using vi=vector;using vvi=vector;using vvvi=vector; using vl=vector;using vvl=vector;using vvvl=vector; using vd=vector;using vvd=vector;using vvvd=vector; using vpii=vector;using vvpii=vector;using vvvpii=vector; templatebool amax(A&a,const B&b){return b>a?a=b,1:0;} templatebool amin(A&a,const B&b){return b>l;return l;} string rs(){string s;cin>>s;return s;} const int mod = 1e9+7; template struct Mint { int x; Mint() : x(0) {} Mint(int y) : x(y >= 0 ? y % MOD : MOD - (-y) % MOD) {} Mint(int64_t sll) : x(sll % MOD) { if (x < 0) x += MOD; } Mint &operator+=(const Mint &rhs){ if((x += rhs.x) >= MOD) x -= MOD; return *this; } Mint &operator-=(const Mint &rhs){ if((x += MOD - rhs.x) >= MOD) x -= MOD; return *this; } Mint &operator*=(const Mint &rhs){ x = 1LL*x*rhs.x % MOD; return *this; } Mint &operator/=(const Mint &rhs){ x = (1LL*x*rhs.inv().x) % MOD; return *this; } Mint operator-() const { return Mint(-x); } Mint operator+(const Mint &rhs) const { return Mint(*this) += rhs; } Mint operator-(const Mint &rhs) const { return Mint(*this) -= rhs; } Mint operator*(const Mint &rhs) const { return Mint(*this) *= rhs; } Mint operator/(const Mint &rhs) const { return Mint(*this) /= rhs; } bool operator<(const Mint &rhs) const { return x < rhs.x; } Mint inv() const { signed a = x, b = MOD, u = 1, v = 0, t; while (b) { t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return Mint(u); } Mint operator^(uint64_t t) const { Mint e = *this, res = 1; for(; t; e *= e, t>>=1) if (t & 1) res *= e; return res; } }; template ostream &operator<<(ostream &os, const Mint &rhs) { return os << rhs.x; } template istream &operator>>(istream &is, Mint &rhs) { int64_t s; is >> s; rhs = Mint(s); return is; }; using mint = Mint; using vm=vector;using vvm=vector;using vvvm=vector; template struct matrix_ { array val; matrix_(vector> ini) { for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) val[i * N + j] = ini[i][j]; } matrix_(int d = 0) { for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) val[i * N + j] = T((i == j) * d); } matrix_ operator+(const matrix_ &x) const { matrix_ ret; for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) { ret.val[i * N + j] = val[i * N + j] + x.val[i * N + j]; } return ret; } matrix_ operator*(const matrix_ &x) const { matrix_ ret; for (int i = 0; i < N; i++) for (int k = 0; k < N; k++) for (int j = 0; j < N; j++) { ret.val[i * N + j] += val[i * N + k] * x.val[k * N + j]; } return ret; } matrix_ operator^(unsigned long long p) const { matrix_ ret(1); matrix_ x(*this); while (p) { if (p & 1) ret = ret * x; x = x * x; p >>= 1; } return ret; } T& at(int row, int col) { return val[row * N + col]; } }; using Mat = matrix_; mint solve() { ll n = ri(); Mat mat; rep(i, bit(3)) { bool i0 = (i & bit(0)) != 0; bool i1 = (i & bit(1)) != 0; bool i2 = (i & bit(2)) != 0; rep(j, bit(3)) { bool j0 = (j & bit(0)) != 0; bool j1 = (j & bit(1)) != 0; bool j2 = (j & bit(2)) != 0; int from = (j << 3) | i; rep(p0, 2) { if (i0 && p0) continue; if (!j0 && !p0) continue; rep(p1, 2) { if (i1 && p1) continue; if (!j1 && !p1) continue; rep(p2, 2) { if (i2 && p2) continue; if (!j2 && !p2) continue; if ((i0 | p0) == 0 && (i1 | p1) == 0) continue; if ((i2 | p2) == 0 && (i1 | p1) == 0) continue; int y = (p2 << 2) + (p1 << 1) + p0; int x = y | i; int to = (x << 3) | y; mat.at(from, to) += 1; } } } if (!i0 && !i1) { if (i2) { int x = 3 + (1 << 2); int y = 0 + (0 << 2); int to = (x << 3) | y; mat.at(from, to) += 1; } else if (j2) { rep(p2, 2) { int x = 3 + (p2 << 2); int y = 0 + (p2 << 2); int to = (x << 3) | y; mat.at(from, to) += 1; } } else { int x = 3 + (1 << 2); int y = 0 + (1 << 2); int to = (x << 3) | y; mat.at(from, to) += 1; } } if (!i1 && !i2) { if (i0) { int x = 6 + (1 << 0); int y = 0 + (0 << 0); int to = (x << 3) | y; mat.at(from, to) += 1; } else if (j0) { rep(p2, 2) { int x = 6 + (p2 << 0); int y = 0 + (p2 << 0); int to = (x << 3) | y; mat.at(from, to) += 1; } } else { int x = 6 + (1 << 0); int y = 0 + (1 << 0); int to = (x << 3) | y; mat.at(from, to) += 1; } } } } mat = mat ^ n; mint ans = 0; rep(j, 2, bit(3)) { if (j == 4) continue; int from = j << 3; ans += mat.at(56, from); } return ans; } void Main() { cout << solve() << endl; } signed main() { cin.tie(nullptr); ios::sync_with_stdio(false); Main(); return 0; }