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.util.*;
import java.io.*;
public class test{
	public static void main(String[] args)
	{
		int x,y;
		FastReader scan=new FastReader();
		OutputStream output=System.out;
		PrintWriter out=new PrintWriter(output);
		int n=scan.nextInt();
		long p=scan.nextLong();
		long q=scan.nextLong();
		long r=scan.nextLong();
		long[] arr=new long[n];
		for(x=0;x<n;x++)
			arr[x]=scan.nextInt();
		long[][] dp=new long[n+1][3];
		dp[0][0]=p*arr[0];
		for(x=1;x<n+1;x++)
			dp[x][0]=Math.max(dp[x-1][0],p*arr[x-1]);
		dp[0][1]=dp[0][0]+q*arr[0];
		for(x=1;x<n+1;x++)
			dp[x][1]=Math.max(dp[x-1][1],dp[x][0]+q*arr[x-1]);
		dp[0][2]=dp[0][1]+r*arr[0];
		for(x=1;x<n+1;x++)
			dp[x][2]=Math.max(dp[x-1][2],dp[x][1]+r*arr[x-1]);
		out.println(dp[n][2]);
		out.flush();
	}
static class FastReader
{
        BufferedReader br;
        StringTokenizer st;
 
        public FastReader()
        {
            br = new BufferedReader(new
                     InputStreamReader(System.in));
        }
 
        String next()
        {
            while (st == null || !st.hasMoreElements())
            {
                try
                {
                    st = new StringTokenizer(br.readLine());
                }
                catch (IOException  e)
                {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }
 
        int nextInt()
        {
            return Integer.parseInt(next());
        }
 
        long nextLong()
        {
            return Long.parseLong(next());
        }
 
        double nextDouble()
        {
            return Double.parseDouble(next());
        }
 
        String nextLine()
        {
            String str = "";
            try
            {
                str = br.readLine();
            }
            catch (IOException e)
            {
                e.printStackTrace();
            }
            return str;
        }
}
}
