#include /* #include #include namespace mp = boost::multiprecision; using bint = mp::cpp_int; */ #include #include #include #include #include #include #include #include #include #define rep(i,n) for (int i = 0; i < (n); ++i) #define repp(i,n,m) for (int i = m; i < (n); ++i) using namespace std; using namespace atcoder; using ll = long long; using ld = long double; using P = pair; using PI = pair,int>; using PL = pair; using PLL = pair, long long>; using Pxy = pair; const int INF = 2001001007; const int modd = 1000000007; const long long modl = 1000000007LL; const long long mod = 998244353LL; const ll inf = 8e18; template void priv(vector &ar){ rep(i,ar.size()-1) cout << ar[i] << " "; cout << ar[ar.size()-1] << endl; } template void privv(vector> &ar){ rep(i,ar.size()){ rep(j,ar[i].size()-1) cout << ar[i][j] << " "; cout << ar[i][ar[i].size()-1] << endl; } } template bool range(SC a, SC b, SC x){return (a <= x && x < b);} bool rrange(P a, P b, P xy){ bool s = range(a.first,b.first,xy.first); bool t = range(a.second,b.second,xy.second); return (s && t); } template void sor(vector &ar){sort(ar.begin(),ar.end());} template void rev(vector &ar){reverse(ar.begin(),ar.end());} template bool chmin(SF &a, const SF &b){if(a>b){a = b; return true;} return false;} template bool chmax(SG &a, const SG &b){if(a void eru(vector &ar){sor(ar);ar.erase(unique(ar.begin(),ar.end()),ar.end());} template SI last(vector &ar){return ar[ar.size()-1];} void yes(){cout << "Yes" << endl;} void no (){cout << "No" << endl;} void yn (bool t){if(t)yes();else no();} void Yes(){cout << "YES" << endl;} void No (){cout << "NO" << endl;} void YN (bool t){if(t)Yes();else No();} vector dx = {0,1,0,-1}; vector dy = {1,0,-1,0}; ll cel (ll a, ll b){ if (a % b == 0) return a / b; else return a / b + 1; } ll gcds(ll a, ll b){ ll c = a % b; while (c != 0){ a = b; b = c; c = a % b; } return b; } vector> mult(vector> &a, vector> &b){ vector> ans(2,vector(2,0)); rep(i,2){ rep(j,2){ rep(k,2){ ans[i][j] += a[i][k] * b[k][j]; } } } return ans; } vector> saiki(vector> &ar, ll n){ if (n == 1){ return ar; } vector> ans = saiki(ar,n/2LL); ans = mult(ans,ans); if (n % 2 == 1) ans = mult(ans,ar); return ans; } int main(){ ll n; cin >> n; ll aa, bb, kk; cin >> aa >> bb >> kk; modint1000000007 a = aa; modint1000000007 b = bb; modint1000000007 k = kk; modint1000000007 w = 1; modint1000000007 x = -w; modint1000000007 y = (a*a + b*b + k) / (a*b); if (n == 1) {cout << a.val() << endl; return 0;} vector> t = {{y,x},{1,0}}; auto s = saiki(t,n-1); modint1000000007 ans = s[1][0] * b + s[1][1] * a; cout << ans.val() << endl; }