import java.io.*; import java.math.*; import java.util.*; import static java.util.Arrays.*; public class Main { private static final int mod = (int)1e9+7; final Random random = new Random(0); final IOFast io = new IOFast(); /// MAIN CODE public void run() throws IOException { // int TEST_CASE = Integer.parseInt(new String(io.nextLine()).trim()); int TEST_CASE = 1; while(TEST_CASE-- != 0) { // f(i), i <= [0,n] // f(0) := 0 // f(i+1) = min_{j=[0,i]}[f(j) + D[i] + B*(i-j)*(i-j+1)/2 - A*(i-j)] // ans = min_{i=[0,n]}[f(i) + B*(n-i)*(n-i+1)/2 - A*(n-i)] // (ii-ij+i-ij+jj-j)/2 = (ii+i + jj - j - 2ij) / 2 // f(i+1) = D[i] - A*i + B*(i+1)*i/2 + min_{j=[0,i]}[f(j) - i*j*B + B*(j-1)*j/2 + A*j)] // a = -j*B // b = f(j) + B*(j-1)*j/2 + A*j // f(i+1) = D[i] - A*i + B*(i+1)*i/2 + min_{j=[0,i]}[a*i + b)] final int n = io.nextInt(); final long A = io.nextLong(); final long B = io.nextLong(); final long W = io.nextLong(); final int[] D = io.nextIntArray(n); final long[] dp = new long[n+1]; Deque deq = new ArrayDeque<>(); deq.addLast(new long[2]); for (int i = 0; i < n; i++) { while(deq.size() >= 2) { final long[] p1 = deq.pollLast(); final long[] p2 = deq.peekLast(); if(p1[0]*i+p1[1] < p2[0]*i+p2[1]) { deq.addLast(p1); break; } } final long[] c = deq.peekLast(); dp[i+1] = D[i] - A*i + B*(i+1)*i/2 + c[0]*i + c[1]; deq.addFirst(new long[]{-(i+1)*B, dp[i+1] + B*i*(i+1)/2 + A*(i+1)}); while(deq.size() >= 3) { final long[] p1 = deq.pollFirst(); final long[] p2 = deq.pollFirst(); final long[] p3 = deq.pollFirst(); final long dx13 = p1[0]-p3[0]; final long dy13 = p1[1]-p3[1]; final long dx23 = p2[0]-p3[0]; final long dy23 = p2[1]-p3[1]; // y=ax+b, y=cx+d, x=-(b-d)/(a-c) // if(-dy13/dx13 <= -dy23/dx23) { if(dy13*dx23 >= dy23*dx13) { } else { // System.err.println(i + " " + (-dy13/(double)dx13) + " " + (-dy23/(double)dx23)); deq.addFirst(p3); deq.addFirst(p2); deq.addFirst(p1); break; } deq.addFirst(p3); deq.addFirst(p1); } } // ans = min_{i=[0,n]}[f(i) + B*(n-i)*(n-i+1)/2 - A*(n-i)] long ans = Long.MAX_VALUE; for(int i = 0; i <= n; i++) { // System.err.println(i + " " + (dp[i] + B*(n-i)*(n-i+1)/2 - A*(n-i))); ans = Math.min(ans, dp[i] + B*(n-i)*(n-i+1)/2 - A*(n-i)); } io.out.println(W + ans); } } static class ConvexHullOptimization { } /// TEMPLATE static int gcd(int n, int r) { return r == 0 ? n : gcd(r, n%r); } static long gcd(long n, long r) { return r == 0 ? n : gcd(r, n%r); } static void swap(T[] x, int i, int j) { T t = x[i]; x[i] = x[j]; x[j] = t; } static void swap(int[] x, int i, int j) { int t = x[i]; x[i] = x[j]; x[j] = t; } static void dump(Object... o) { System.err.println(Arrays.deepToString(o)); } void main() throws IOException { // IOFast.setFileIO("rle-size.in", "rle-size.out"); try { run(); } catch (EndOfFileRuntimeException e) { } io.out.flush(); } public static void main(String[] args) throws IOException { new Main().main(); } static class EndOfFileRuntimeException extends RuntimeException { private static final long serialVersionUID = -8565341110209207657L; } static public class IOFast { private BufferedReader in = new BufferedReader(new InputStreamReader(System.in)); private PrintWriter out = new PrintWriter(System.out); void setFileIn(String ins) throws IOException { in.close(); in = new BufferedReader(new FileReader(ins)); } void setFileOut(String outs) throws IOException { out.flush(); out.close(); out = new PrintWriter(new FileWriter(outs)); } void setFileIO(String ins, String outs) throws IOException { setFileIn(ins); setFileOut(outs); } private static int pos, readLen; private static final char[] buffer = new char[1024 * 8]; private static char[] str = new char[500*8*2]; private static boolean[] isDigit = new boolean[256]; private static boolean[] isSpace = new boolean[256]; private static boolean[] isLineSep = new boolean[256]; static { for(int i = 0; i < 10; i++) { isDigit['0' + i] = true; } isDigit['-'] = true; isSpace[' '] = isSpace['\r'] = isSpace['\n'] = isSpace['\t'] = true; isLineSep['\r'] = isLineSep['\n'] = true; } public int read() throws IOException { if(pos >= readLen) { pos = 0; readLen = in.read(buffer); if(readLen <= 0) { throw new EndOfFileRuntimeException(); } } return buffer[pos++]; } public int nextInt() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); int i = 0; int ret = 0; if(str[0] == '-') { i = 1; } for(; i < len; i++) ret = ret * 10 + str[i] - '0'; if(str[0] == '-') { ret = -ret; } return ret; } public long nextLong() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); int i = 0; long ret = 0; if(str[0] == '-') { i = 1; } for(; i < len; i++) ret = ret * 10 + str[i] - '0'; if(str[0] == '-') { ret = -ret; } return ret; } public char nextChar() throws IOException { while(true) { final int c = read(); if(!isSpace[c]) { return (char)c; } } } int reads(int len, boolean[] accept) throws IOException { try { while(true) { final int c = read(); if(accept[c]) { break; } if(str.length == len) { char[] rep = new char[str.length * 3 / 2]; System.arraycopy(str, 0, rep, 0, str.length); str = rep; } str[len++] = (char)c; } } catch(EndOfFileRuntimeException e) { ; } return len; } int reads(char[] cs, int len, boolean[] accept) throws IOException { try { while(true) { final int c = read(); if(accept[c]) { break; } cs[len++] = (char)c; } } catch(EndOfFileRuntimeException e) { ; } return len; } public char[] nextLine() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isLineSep); try { if(str[len-1] == '\r') { len--; read(); } } catch(EndOfFileRuntimeException e) { ; } return Arrays.copyOf(str, len); } public String nextString() throws IOException { return new String(next()); } public char[] next() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); return Arrays.copyOf(str, len); } // public int next(char[] cs) throws IOException { int len = 0; cs[len++] = nextChar(); len = reads(cs, len, isSpace); return len; } public double nextDouble() throws IOException { return Double.parseDouble(nextString()); } public long[] nextLongArray(final int n) throws IOException { final long[] res = new long[n]; for(int i = 0; i < n; i++) { res[i] = nextLong(); } return res; } public int[] nextIntArray(final int n) throws IOException { final int[] res = new int[n]; for(int i = 0; i < n; i++) { res[i] = nextInt(); } return res; } public int[][] nextIntArray2D(final int n, final int k) throws IOException { final int[][] res = new int[n][]; for(int i = 0; i < n; i++) { res[i] = nextIntArray(k); } return res; } public int[][] nextIntArray2DWithIndex(final int n, final int k) throws IOException { final int[][] res = new int[n][k+1]; for(int i = 0; i < n; i++) { for(int j = 0; j < k; j++) { res[i][j] = nextInt(); } res[i][k] = i; } return res; } public double[] nextDoubleArray(final int n) throws IOException { final double[] res = new double[n]; for(int i = 0; i < n; i++) { res[i] = nextDouble(); } return res; } } }