#define _USE_MATH_DEFINES #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include //#include using namespace std; //using namespace atcoder; #define LP(I,S,G) for (long long int I = (S); I < (G); ++I) #define IN(X) for (int in = 0; in < X.size(); in++)cin >> X[in] #define OUT(X) for (int in = 0; in < X.size(); in++)cout << X[in]<<" " #define SORT(X) sort((X).begin(), (X).end()) #define CSORT(X,Y) sort(X.begin(), X.end(),Y) #define COPY(X,Y) copy(X.begin(), X.end(), Y.begin()) #define ALL(X,Y) for (auto &(X) :(Y)) #define FULL(a) (a).begin(),(a).end() #define BFS(Q,S) for(Q.push(S);Q.size()!=0;Q.pop()) typedef long long int ll; typedef unsigned long long int ull; long long int M = 998244353; chrono::system_clock::time_point starttime; using namespace std::chrono; inline float getTime() { return duration_cast(system_clock::now() - starttime).count(); } int dx[] = { -1,0,1,0 }, dy[] = { 0,1,0,-1 }; ll MAX(ll A, ll B) { return ((A) > (B) ? (A) : (B)); } ll MIN(ll A, ll B) { return ((A) < (B) ? (A) : (B)); } inline long long int xor128() { static long long int x = 123456789, y = 362436069, z = 521288629, w = 88675123; long long int t = (x ^ (x << 11)); x = y; y = z; z = w; return (w = (w ^ (w >> 19)) ^ (t ^ (t >> 8))); } struct HashPair { //注意 constがいる template size_t operator()(const pair &p) const { //first分をハッシュ化する auto hash1 = hash{}(p.first); //second分をハッシュ化する auto hash2 = hash{}(p.second); //重複しないようにハッシュ処理 size_t seed = 0; seed ^= hash1 + 0x9e3779b9 + (seed << 6) + (seed >> 2); seed ^= hash2 + 0x9e3779b9 + (seed << 6) + (seed >> 2); return seed; } }; int main() { ll n, a, b, c; cin >> n >> a >> b >> c; vector dp(n * 2, a*n); dp[1] = 0; ll kai = 1, border = a * n; ll ku = 0; LP(i, 1, 2*n) { kai *= i; if (kai >= n)ku = 1; kai %= n; dp[(i + 1) % n] = min(dp[(i + 1) % n], dp[i] + a); dp[kai + ku * n] = min(dp[kai + ku * n], dp[i] + c); ll p = i, cost = b, pu = 0; if (p >= n)pu = 1; p %= n; while (cost <= border) { dp[p + pu * n] = min(dp[p + pu * n], dp[i] + cost); p *= i; if (p >= n)pu = 1; p %= n; cost *= b; } } ll fc = a*n; LP(i, n + 1, 2 * n)fc = min(fc, dp[i]); cout << min(min(dp[0], dp[n]), fc + c); return 0; }