#include <bits/stdc++.h> using namespace std; typedef signed long long ll; #define _P(...) (void)printf(__VA_ARGS__) #define FOR(x,to) for(x=0;x<(to);x++) #define FORR(x,arr) for(auto& x:arr) #define FORR2(x,y,arr) for(auto& [x,y]:arr) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) template<class T> bool chmax(T &a, const T &b) { if(a<b){a=b;return 1;}return 0;} template<class T> bool chmin(T &a, const T &b) { if(a>b){a=b;return 1;}return 0;} //------------------------------------------------------- int N,A,B,C; ll F[402020]; ll dp[404040]; void solve() { int i,j,k,l,r,x,y; string s; cin>>N>>A>>B>>C; F[1]=1; for(i=2;i<=2*N;i++) { if(i<N) { F[i]=F[i-1]*i; if(F[i]>=N) F[i]=F[i]%N+N; } else { F[i]=N; } dp[i]=1LL<<60; } priority_queue<pair<ll,int>> Q; Q.push({0,1}); while(Q.size()) { ll co=-Q.top().first; int cur=Q.top().second; Q.pop(); if(dp[cur]!=co) continue; x=cur+1; if(x==2*N) x=N; if(chmin(dp[x],co+A)) Q.push({-dp[x],x}); x=F[cur]; if(chmin(dp[x],co+C)) Q.push({-dp[x],x}); if(cur!=1) { ll v=1,c=1; for(i=1;i<=20;i++) { v=v*cur; c=c*B; if(c>1LL*A*N) break; if(v>=2*N) v=v%N+N; if(chmin(dp[v],co+c)) Q.push({-dp[v],v}); } } } cout<<dp[N]<<endl; } int main(int argc,char** argv){ string s;int i; if(argc==1) ios::sync_with_stdio(false), cin.tie(0); FOR(i,argc-1) s+=argv[i+1],s+='\n'; FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin); cout.tie(0); solve(); return 0; }