import java.io.BufferedInputStream; import java.io.IOException; import java.io.PrintWriter; import java.util.*; import java.util.function.IntUnaryOperator; import java.util.function.LongUnaryOperator; import java.util.stream.Collectors; import java.util.stream.IntStream; import static java.lang.Math.min; public class Main { static In in = new In(); static Out out = new Out(false, false); static final long inf = 0x1fffffffffffffffL; static final int iinf = 0x3fffffff; static final double eps = 1e-9; static long mod = 998244353; void solve() { int n = in.nextInt(); long a = in.nextLong(); long b = in.nextLong(); long c = in.nextLong(); long[] dist = new long[2 * n]; Arrays.fill(dist, inf); dist[1] = 0; class P { final int v; final long c; public P(int v, long c) { this.v = v; this.c = c; } } PriorityQueue
queue = new PriorityQueue<>(Comparator.comparingLong(p -> p.c));
queue.add(new P(1, 0));
int[] fact = new int[n * 2];
fact[0] = 1;
for (int i = 1; i < n * 2; i++) {
fact[i] = md(fact[i - 1], i, n);
}
while (!queue.isEmpty()) {
P p = queue.remove();
if (p.c > dist[p.v]) continue;
int n1 = md(p.v + 1, n);
if (dist[n1] > p.c + a) {
dist[n1] = p.c + a;
queue.add(new P(n1, dist[n1]));
}
int vv = p.v;
long bb = b;
for (int i = 2; i < 30; i++) {
bb = b * bb;
if (bb > 1000000) break;
vv = md(vv, p.v, n);
if (dist[vv] > p.c + bb) {
dist[vv] = p.c + bb;
queue.add(new P(vv, dist[vv]));
}
}
int n3 = fact[p.v];
if (dist[n3] > p.c + c) {
dist[n3] = p.c + c;
queue.add(new P(n3, dist[n3]));
}
}
out.println(min(dist[0], dist[n]));
}
int md(int a, int b, int n) {
long ab = (long)a * b;
return (int)(ab < n ? ab : ab % n + n);
}
int md(int a, int n) {
return a < n ? a : a % n + n;
}
public static void main(String... args) {
new Main().solve();
out.flush();
}
}
class In {
private final BufferedInputStream reader = new BufferedInputStream(System.in);
private final byte[] buffer = new byte[0x10000];
private int i = 0;
private int length = 0;
public int read() {
if (i == length) {
i = 0;
try {
length = reader.read(buffer);
} catch (IOException ignored) {
}
if (length == -1) {
return 0;
}
}
if (length <= i) {
throw new RuntimeException();
}
return buffer[i++];
}
public String next() {
StringBuilder builder = new StringBuilder();
int b = read();
while (b < '!' || '~' < b) {
b = read();
}
while ('!' <= b && b <= '~') {
builder.appendCodePoint(b);
b = read();
}
return builder.toString();
}
public String nextLine() {
StringBuilder builder = new StringBuilder();
int b = read();
while (b != 0 && b != '\r' && b != '\n') {
builder.appendCodePoint(b);
b = read();
}
if (b == '\r') {
read();
}
return builder.toString();
}
public int nextInt() {
long val = nextLong();
if (val < Integer.MIN_VALUE || Integer.MAX_VALUE < val) {
throw new NumberFormatException();
}
return (int)val;
}
public long nextLong() {
int b = read();
while (b < '!' || '~' < b) {
b = read();
}
boolean neg = false;
if (b == '-') {
neg = true;
b = read();
}
long n = 0;
int c = 0;
while ('0' <= b && b <= '9') {
n = n * 10 + b - '0';
b = read();
c++;
}
if (c == 0 || c >= 2 && n == 0) {
throw new NumberFormatException();
}
return neg ? -n : n;
}
public double nextDouble() {
return Double.parseDouble(next());
}
public char[] nextCharArray() {
return next().toCharArray();
}
public String[] nextStringArray(int n) {
String[] s = new String[n];
for (int i = 0; i < n; i++) {
s[i] = next();
}
return s;
}
public char[][] nextCharMatrix(int n, int m) {
char[][] a = new char[n][m];
for (int i = 0; i < n; i++) {
a[i] = next().toCharArray();
}
return a;
}
public int[] nextIntArray(int n) {
int[] a = new int[n];
for (int i = 0; i < n; i++) {
a[i] = nextInt();
}
return a;
}
public int[] nextIntArray(int n, IntUnaryOperator op) {
int[] a = new int[n];
for (int i = 0; i < n; i++) {
a[i] = op.applyAsInt(nextInt());
}
return a;
}
public int[][] nextIntMatrix(int h, int w) {
int[][] a = new int[h][w];
for (int i = 0; i < h; i++) {
a[i] = nextIntArray(w);
}
return a;
}
public long[] nextLongArray(int n) {
long[] a = new long[n];
for (int i = 0; i < n; i++) {
a[i] = nextLong();
}
return a;
}
public long[] nextLongArray(int n, LongUnaryOperator op) {
long[] a = new long[n];
for (int i = 0; i < n; i++) {
a[i] = op.applyAsLong(nextLong());
}
return a;
}
public long[][] nextLongMatrix(int h, int w) {
long[][] a = new long[h][w];
for (int i = 0; i < h; i++) {
a[i] = nextLongArray(w);
}
return a;
}
public List> nextGraph(int n, int m, boolean directed) {
List
> res = new ArrayList<>();
for (int i = 0; i < n; i++) {
res.add(new ArrayList<>());
}
for (int i = 0; i < m; i++) {
int u = nextInt() - 1;
int v = nextInt() - 1;
res.get(u).add(v);
if (!directed) {
res.get(v).add(u);
}
}
return res;
}
}
class Out {
private final PrintWriter out = new PrintWriter(System.out);
private final PrintWriter err = new PrintWriter(System.err);
public boolean autoFlush;
public boolean enableDebug;
public Out(boolean autoFlush, boolean enableDebug) {
this.autoFlush = autoFlush;
this.enableDebug = enableDebug;
}
public void debug(Object... args) {
if (!enableDebug) {
return;
}
if (args == null || args.getClass() != Object[].class) {
args = new Object[] {args};
}
err.println(Arrays.stream(args).map(obj -> format(obj, true)).collect(Collectors.joining(" ")));
err.flush();
}
private String format(Object obj, boolean canMultiline) {
if (obj == null) return "null";
Class> clazz = obj.getClass();
if (clazz == Double.class) return String.format("%.10f", obj);
if (clazz == int[].class) return Arrays.toString((int[])obj);
if (clazz == long[].class) return Arrays.toString((long[])obj);
if (clazz == char[].class) return String.valueOf((char[])obj);
if (clazz == boolean[].class) return IntStream.range(0, ((boolean[])obj).length).mapToObj(i -> ((boolean[])obj)[i] ? "1" : "0").collect(Collectors.joining());
if (clazz == double[].class) return Arrays.toString(Arrays.stream((double[])obj).mapToObj(a -> format(a, false)).toArray());
if (canMultiline && clazz.isArray() && clazz.componentType().isArray()) return Arrays.stream((Object[])obj).map(a -> format(a, false)).collect(Collectors.joining("\n"));
if (clazz == Object[].class) return Arrays.toString(Arrays.stream((Object[])obj).map(a -> format(a, false)).toArray());
if (clazz.isArray()) return Arrays.toString((Object[])obj);
return String.valueOf(obj);
}
public void println(Object... args) {
if (args == null || args.getClass() != Object[].class) {
args = new Object[] {args};
}
out.println(Arrays.stream(args)
.map(obj -> obj instanceof Double ? String.format("%.10f", obj) : String.valueOf(obj))
.collect(Collectors.joining(" ")));
if (autoFlush) {
out.flush();
}
}
public void println(char a) {
out.println(a);
if (autoFlush) {
out.flush();
}
}
public void println(int a) {
out.println(a);
if (autoFlush) {
out.flush();
}
}
public void println(long a) {
out.println(a);
if (autoFlush) {
out.flush();
}
}
public void println(double a) {
out.println(String.format("%.10f", a));
if (autoFlush) {
out.flush();
}
}
public void println(String s) {
out.println(s);
if (autoFlush) {
out.flush();
}
}
public void println(char[] s) {
out.println(String.valueOf(s));
if (autoFlush) {
out.flush();
}
}
public void println(int[] a) {
StringJoiner joiner = new StringJoiner(" ");
for (int i : a) {
joiner.add(Integer.toString(i));
}
out.println(joiner);
if (autoFlush) {
out.flush();
}
}
public void println(long[] a) {
StringJoiner joiner = new StringJoiner(" ");
for (long i : a) {
joiner.add(Long.toString(i));
}
out.println(joiner);
if (autoFlush) {
out.flush();
}
}
public void flush() {
err.flush();
out.flush();
}
}