package No400番台; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.Scanner; public class Main { static InputStream is; static PrintWriter out; static String INPUT = ""; public static void main(String[] args) throws Exception { is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); solver(); out.flush(); } static long nl() { try { long num = 0; boolean minus = false; while ((num = is.read()) != -1 && !((num >= '0' && num <= '9') || num == '-')) ; if (num == '-') { num = 0; minus = true; } else { num -= '0'; } while (true) { int b = is.read(); if (b >= '0' && b <= '9') { num = num * 10 + (b - '0'); } else { return minus ? -num : num; } } } catch (IOException e) { } return -1; } static char nc() { try { int b = skip(); if (b == -1) return 0; return (char) b; } catch (IOException e) { } return 0; } static double nd() { try { return Double.parseDouble(ns()); } catch (Exception e) { } return 0; } static String ns() { try { int b = skip(); StringBuilder sb = new StringBuilder(); if (b == -1) return ""; sb.append((char) b); while (true) { b = is.read(); if (b == -1) return sb.toString(); if (b <= ' ') return sb.toString(); sb.append((char) b); } } catch (IOException e) { } return ""; } public static char[] ns(int n) { char[] buf = new char[n]; try { int b = skip(), p = 0; if (b == -1) return null; buf[p++] = (char) b; while (p < n) { b = is.read(); if (b == -1 || b <= ' ') break; buf[p++] = (char) b; } return Arrays.copyOf(buf, p); } catch (IOException e) { } return null; } public static byte[] nse(int n) { byte[] buf = new byte[n]; try { int b = skip(); if (b == -1) return null; is.read(buf); return buf; } catch (IOException e) { } return null; } static int skip() throws IOException { int b; while ((b = is.read()) != -1 && !(b >= 33 && b <= 126)) ; return b; } static boolean eof() { try { is.mark(1000); int b = skip(); is.reset(); return b == -1; } catch (IOException e) { return true; } } static int ni() { try { int num = 0; boolean minus = false; while ((num = is.read()) != -1 && !((num >= '0' && num <= '9') || num == '-')) ; if (num == '-') { num = 0; minus = true; } else { num -= '0'; } while (true) { int b = is.read(); if (b >= '0' && b <= '9') { num = num * 10 + (b - '0'); } else { return minus ? -num : num; } } } catch (IOException e) { } return -1; } static void solver() { Scanner sc = new Scanner(System.in); int n = ni();// the duration long a = nl();// the effet of fasting long b = nl();// the effect of stress long w = nl();// current weight long[] d = new long[n]; for (int i = 0; i < n; i++) { d[i] = nl(); } /* * F[0]=W F[k]=D[k]+min(F[i]+(k-i-1)*(k-i)/2*B-(k-i-1)*A) (0<=i<=k-1) * * answer:min(F[i]-(n-i)*A+1/2*(n-i)(n-i+1)*B) (0<=i<=n) * * F[k]=D[k]-(k-1)*A+(k-1)*k/2*B+min(F[i]+-ikB+i*(i+1)/2*B+iA) */ int[] deq = new int[n + 3]; long[] F = new long[n + 1]; F[0] = w; int s = 0; int t = 1; for (int i = 1; i <= n; i++) { while (s + 1 < t && f(deq[s], i, d, b, a, F) >= f(deq[s + 1], i, d, b, a, F)) s++; F[i] = f(deq[s], i, d, b, a, F) + (long)d[i - 1] - (long)(i - 1) *(long) a + ((long)i * (long)i - (long)i) / 2 * (long)b; while (s + 1 < t && check(deq[t - 2], deq[t - 1], i, b, F, a)) t--; deq[t++] = i; } long ans = 1L << 60; for (int i = 0; i <= n; i++) { long D = n - i; ans = Math.min(ans, F[i] + (long) b * ((long) D + 1L) * (long) D / 2 - (long) a * (long) D); } System.out.println(ans); } static class Pair { long a, b; Pair(long a, long b) { this.a = a; this.b = b; } } static boolean check(int k1, int k2, int k3, long b, long[] F, long a) { long a1 = -(long) k1 * (long) b; long a2 = -(long) k2 * (long) b; long a3 = -(long) k3 * (long) b; long b1 = F[k1] + (long) k1 * (long) a + ((long) k1 * (long) k1 + (long) k1) / 2 * (long) b; long b2 = F[k2] + (long) k2 * (long) a + ((long) k2 * (long) k2 + (long) k2) / 2 * (long) b; long b3 = F[k3] + (long) k3 * (long) a + ((long) k3 * (long) k3 + (long) k3) / 2 * (long) b; return ( a2 - a1) * ( b3 - b1) >= (b1 - b2) * ( a1 - a3); } static long f(int j, long x, long[] d, long b, long a, long[] F) { return -(long) j * (long) b * (long) x + F[j] + (long) j * (long) a + ((long) j * (long) j + (long) j) / 2 * (long) b; } static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }