#include using namespace std; typedef long long ll; typedef long double ld; typedef pair PP; // #define MOD 1000000007 #define MOD 998244353 #define INF 2305843009213693951 //#define INF 810114514 #define PI 3.141592653589 #define setdouble setprecision #define REP(i,n) for(ll i=0;i<(n);++i) #define OREP(i,n) for(ll i=1;i<=(n);++i) #define RREP(i,n) for(ll i=(n)-1;i>=0;--i) #define ORREP(i,n) for(ll i=(n);i>=1;--i) #define rep(i,a,b) for(ll i=(a);i<=(b);++i) #define ALL(v) (v).begin(), (v).end() #define GOODBYE do { cout << "-1" << endl; return 0; } while (false) #define MM <<" "<< #define Endl endl #define debug true #define debug2 false class Dijkstra{ // Copyright (c) 2023 0214sh7 // https://github.com/0214sh7/library/ private: typedef std::pair P; std::vector> G; int V; // long long INF = (1LL<<61); std::priority_queue,std::greater

> que; public: void init(int N,std::vector,long long>> edge){ //頂点数を決定する V=N; //辺集合を扱いやすい形式に変換する G.resize(V); for(int i=0;i,long long>> edge){ init(N,edge); } std::vector solve(int s){ std::vector d; //INFで初期化する for(int i=0;id[v]+e.first){ d[e.second] = d[v]+e.first; que.push({d[e.second],e.second}); } } } return d; } }; int main(void){ //cin.tie(nullptr); //ios::sync_with_stdio(false); ll N,A,B,C; cin >> N >> A >> B >> C; std::vector,long long>> E; //操作1 REP(i,2*N){ E.push_back({{i,i+1},A}); } //操作2 REP(i,N){ if(i<2)continue; ll x = i*i; ll b = B*B; rep(k,2,60){ E.push_back({{i,min(x,N+x%N)},b}); E.push_back({{N+i,N+x%N},b}); x *= i; b *= B; if(b>N*A)break; } } //操作3 ll f = 1; OREP(i,2*N){ ll e = (f>=N?N+f%N:f); E.push_back({{i,e},C}); f *= i+1; f = min(f,N+f%N); } // REP(i,E.size()){ // cout << E[i].first.first MM E[i].first.second MM E[i].second << endl; // } // REP(i,E.size()){ // if(E[i].second<0){ // cout << E[i].first.first MM E[i].first.second MM E[i].second << endl; // } // } Dijkstra dijkstra(2*N+1,E); std::vector D = dijkstra.solve(1); cout << min(D[N],D[2*N]) << endl; return 0; }