#include "bits/stdc++.h" using namespace std; #define REP(i, n) for(ll i = 0;i < n;i++) #define REPR(i, n) for(ll i = n;i >= 0;i--) #define FOR(i, m, n) for(ll i = m;i < n;i++) #define FORR(i, m, n) for(ll i = m;i >= n;i--) #define REPO(i, n) for(ll i = 1;i <= n;i++) #define ll long long #define INF (ll)1ll << 60 #define MINF (-1 * INF) #define ALL(n) n.begin(),n.end() #define MOD (ll)1000000007 #define P pair ll d[410000]; // 結果 struct edge { ll to, cost; }; vector g[410000]; //隣接リスト to, cost void dijkstra(ll a) { //だいくすとら! priority_queue, greater

> q; fill(d, d + 410000, INF); d[a] = 0; q.push(P(0, a)); while (!q.empty()) { P p = q.top(); q.pop(); ll v = p.second; if (d[v] < p.first) continue; REP(i, g[v].size()) { edge e = g[v][i]; if (d[e.to] > d[v] + e.cost) { d[e.to] = d[v] + e.cost; q.push(P(d[e.to], e.to)); } } } } ll n, a, b, c, u = 210000; int main(){ cin >> n >> a >> b >> c; REP(i, n){ g[i].push_back({(i + 1) % n, a}); g[i + u].push_back({(i + 1) % n + u, a}); ll now = i, cost = b; bool overn = false; if (i <= 1) continue; while(cost <= 4 * 1e10){ now *= i; cost *= b; if (now >= n) overn = true; now %= n; g[i].push_back({(overn ? u + now : now), cost}); g[u + i].push_back({u + now, cost}); } } ll now = 1; bool overn = false; REPO(i, n - 1){ now *= i; if (now >= n) overn = true; now %= n; g[i].push_back({(overn ? u + now : now), c}); g[u + i].push_back({0, c}); } dijkstra(1); cout << min(d[0], d[u]) << endl; }