#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include //eolibraries #define lnf 3999999999999999999 #define inf 999999999 #define fi first #define se second #define pb push_back #define ll long long #define ld long double #define all(c) (c).begin(),(c).end() #define sz(c) (int)(c).size() #define make_unique(a) sort(all(a)),a.erase(unique(all(a)),a.end()) #define pii pair #define rep(i,n) for(int i = 0 ; i < n ; i++) #define drep(i,n) for(int i = n-1 ; i >= 0 ; i--) #define crep(i,x,n) for(int i = x ; i < n ; i++) #define vi vector #define vec(...) vector<__VA_ARGS__> #define fcin ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0); //eodefine using namespace std; const int max_n = 103002; //snuke's modular int template struct modularint{ ll x; modularint(ll x=0):x(x%mod){} modularint& operator+=(const modularint a){ if ((x += a.x) >= mod) x -= mod; return *this; } modularint& operator-=(const modularint a){ if ((x += mod-a.x) >= mod) x -= mod; return *this; } modularint& operator*=(const modularint a){ (x *= a.x) %= mod; return *this; } modularint operator+(const modularint a)const{ modularint res(*this); return res+=a; } modularint operator-(const modularint a)const{ modularint res(*this); return res-=a; } modularint operator*(const modularint a)const{ modularint res(*this); return res*=a; } modularint pow(int n)const{ modularint res=1,x(*this); while(n){ if(n&1)res*=x; x*=x; n>>=1; } return res; } modularint inv()const{ return pow(mod-2); } }; using mint = modularint<10>; template struct matrix{ vec(vec(T)) a; //initilize matrix here matrix(){} matrix(int h,int w){ a.clear(); a.resize(h,vec(T)(w)); } matrix(vec(vec(T)) nea){ a=nea; } //outer vector size here int size()const{ return a.size(); } const vector& operator[](int i)const{ return a[i]; } vector& operator[](int i){ return a[i]; } matrix& operator *=(const matrix& rhs){ int h=a.size(), w=rhs[0].size(), c=rhs.size(); matrix res(h,w); rep(i,h){ rep(j,w){ rep(k,c){ res[i][j] += a[i][k] * rhs[k][j]; } } } this->a = res.a; return *this; } matrix operator *(const matrix& rhs){ return (matrix(*this) *= rhs); } }; template matrix idenmat(int n){ matrix res(n,n); rep(i,n) res.a[i][i] = 1; return res; }; template matrix pow(matrix mat,ll n){ matrix res=idenmat(mat.size()); while(n){ if(n&1) res*=mat; mat*=mat; n>>=1; } return res; }; int main(){ fcin; vec(vec(mint)) a(3,vec(mint)(3)); a[0][0]=1; a[1][0]=1; a[2][0]=1; a[1][2]=1; a[0][1]=1; // a[0][2]=1; matrix mat(a); matrix now = idenmat(3); matrix s(vec(vec(mint))(1,vec(mint)(3))); ll p,q,r,k; cin>>p>>q>>r>>k; s[0]={r,q,p}; mat = pow(mat,k-3); s *= mat; // rep(i,3){ // cout<