Professor Dumbledore is helping Harry destroy the Horcruxes. He went to Gaunt Shack as he suspected a Horcrux to be present there. He saw Marvolo Gaunt's Ring and identified it as a Horcrux. Although he destroyed it, he is still affected by its curse. Professor Snape is helping Dumbledore remove the curse. For this, he wants to give Dumbledore exactly x drops of the potion he made. 

Value of x is calculated as maximum of p·ai + q·aj + r·ak for given p, q, r and array a1, a2, ... an such that 1 ≤ i ≤ j ≤ k ≤ n. Help Snape find the value of x. Do note that the value of x may be negative.

Input

First line of input contains 4 integers n, p, q, r ( - 109 ≤ p, q, r ≤ 109, 1 ≤ n ≤ 105).

Next line of input contains n space separated integers a1, a2, ... an ( - 109 ≤ ai ≤ 109).

Output

Output a single integer the maximum value of p·ai + q·aj + r·ak that can be obtained provided 1 ≤ i ≤ j ≤ k ≤ n.

Examples

Input

5 1 2 3
1 2 3 4 5


Output

30


Input

5 1 2 -3
-1 -2 -3 -4 -5


Output

12

Note

In the first sample case, we can take i = j = k = 5, thus making the answer as 1·5 + 2·5 + 3·5 = 30.

In second sample case, selecting i = j = 1 and k = 5 gives the answer 12.
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.io.BufferedWriter;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author gaidash
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        BKolcoMarvalaMraksa solver = new BKolcoMarvalaMraksa();
        solver.solve(1, in, out);
        out.close();
    }

    static class BKolcoMarvalaMraksa {
        public void solve(int testNumber, InputReader in, OutputWriter out) {
            int n = in.nextInt();
            long p = in.nextInt();
            long q = in.nextInt();
            long r = in.nextInt();
            int[] a = in.nextIntArray(n);

            int[] minUpTo = new int[n];
            int[] maxUpTo = new int[n];
            int[] minFrom = new int[n];
            int[] maxFrom = new int[n];
            Arrays.fill(minUpTo, Integer.MAX_VALUE);
            Arrays.fill(maxUpTo, Integer.MIN_VALUE);
            Arrays.fill(minFrom, Integer.MAX_VALUE);
            Arrays.fill(maxFrom, Integer.MIN_VALUE);
            for (int i = 0; i < n; i++) {
                if (i == 0) {
                    minUpTo[i] = a[i];
                    maxUpTo[i] = a[i];
                    minFrom[n - i - 1] = a[n - i - 1];
                    maxFrom[n - i - 1] = a[n - i - 1];
                    continue;
                }
                minUpTo[i] = Math.min(minUpTo[i - 1], a[i]);
                maxUpTo[i] = Math.max(maxUpTo[i - 1], a[i]);
                minFrom[n - i - 1] = Math.min(minFrom[n - i], a[n - i - 1]);
                maxFrom[n - i - 1] = Math.max(maxFrom[n - i], a[n - i - 1]);
            }

            long ret = Long.MIN_VALUE;
            for (int i = 0; i < n; i++) {
                long sum = q * a[i];
                sum += p * (p < 0 ? minUpTo[i] : maxUpTo[i]);
                sum += r * (r < 0 ? minFrom[i] : maxFrom[i]);
                ret = Math.max(ret, sum);
            }

            out.println(ret);
        }

    }

    static class OutputWriter {
        private final PrintWriter writer;

        public OutputWriter(OutputStream outputStream) {
            writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

        public OutputWriter(Writer writer) {
            this.writer = new PrintWriter(writer);
        }

        public void close() {
            writer.close();
        }

        public void println(long i) {
            writer.println(i);
        }

    }

    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private InputReader.SpaceCharFilter filter;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public int read() {
            if (numChars == -1) {
                throw new InputMismatchException();
            }
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (numChars <= 0) {
                    return -1;
                }
            }
            return buf[curChar++];
        }

        public int nextInt() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9') {
                    throw new InputMismatchException();
                }
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public boolean isSpaceChar(int c) {
            if (filter != null) {
                return filter.isSpaceChar(c);
            }
            return isWhitespace(c);
        }

        public static boolean isWhitespace(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        public int[] nextIntArray(int n) {
            int[] array = new int[n];
            for (int i = 0; i < n; ++i) array[i] = nextInt();
            return array;
        }

        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);

        }

    }
}

