Little girl Alyona is in a shop to buy some copybooks for school. She study four subjects so she wants to have equal number of copybooks for each of the subjects. There are three types of copybook's packs in the shop: it is possible to buy one copybook for a rubles, a pack of two copybooks for b rubles, and a pack of three copybooks for c rubles. Alyona already has n copybooks.

What is the minimum amount of rubles she should pay to buy such number of copybooks k that n + k is divisible by 4? There are infinitely many packs of any type in the shop. Alyona can buy packs of different type in the same purchase.

Input

The only line contains 4 integers n, a, b, c (1 ≤ n, a, b, c ≤ 109).

Output

Print the minimum amount of rubles she should pay to buy such number of copybooks k that n + k is divisible by 4.

Examples

Input

1 1 3 4


Output

3


Input

6 2 1 1


Output

1


Input

4 4 4 4


Output

0


Input

999999999 1000000000 1000000000 1000000000


Output

1000000000

Note

In the first example Alyona can buy 3 packs of 1 copybook for 3a = 3 rubles in total. After that she will have 4 copybooks which she can split between the subjects equally. 

In the second example Alyuna can buy a pack of 2 copybooks for b = 1 ruble. She will have 8 copybooks in total.

In the third example Alyona can split the copybooks she already has between the 4 subject equally, so she doesn't need to buy anything.

In the fourth example Alyona should buy one pack of one copybook.

//package Codeforces_contest;

/**
 *
 * @author Abhishek
 */
import java.io.*;
import java.util.*;
public class R381Div2A{

    InputStream obj;
    PrintWriter out;
    String check = "";

    //Solution !!
    void solution() {
        long n=inti(),a=inti(),b=inti(),c=inti();
        if(n%4==0){
            out.println(0);
            return;
        }
        long ans=0;
        if(n%4==1){
            ans=Math.min(3*a,Math.min(b+a, Math.min(c, 2*b+c)));
        }
        else if(n%4==2){
            ans=Math.min(b, Math.min(2*a, Math.min(2*c, a+b+c)));
        }
        else if(n%4==3){
            ans=Math.min(a, Math.min(b+c, 3*c));
        }
        out.println(ans);
    }

    //------->ends !!
    public static void main(String[] args) throws IOException {
        new Thread(null, new Runnable() {
            public void run() {
                try {
                    new R381Div2A().ace();
                } catch (IOException e) {
                    e.printStackTrace();
                } catch (StackOverflowError e) {
                    System.out.println("RTE");
                }
            }
        }, "1", 1 << 26).start();
    }

    void ace() throws IOException {
        out = new PrintWriter(System.out);
        obj = check.isEmpty() ? System.in : new ByteArrayInputStream(check.getBytes());
//        obj=check.isEmpty() ? new FileInputStream("location of file") : new ByteArrayInputStream(check.getBytes());
//        long t1=System.currentTimeMillis();
        solution();
//        long t2=System.currentTimeMillis();
//        out.println(t2-t1);
        out.flush();
        out.close();
    }
    byte inbuffer[] = new byte[1024];
    int lenbuffer = 0, ptrbuffer = 0;

    int readByte() {
        if (lenbuffer == -1) {
            throw new InputMismatchException();
        }
        if (ptrbuffer >= lenbuffer) {
            ptrbuffer = 0;
            try {
                lenbuffer = obj.read(inbuffer);
            } catch (IOException e) {
                throw new InputMismatchException();
            }
        }
        if (lenbuffer <= 0) {
            return -1;
        }
        return inbuffer[ptrbuffer++];
    }

    boolean isSpaceChar(int c) {
        return (!(c >= 33 && c <= 126));
    }

    String stri() {
        int b = skip();
        StringBuilder sb = new StringBuilder();
        while (!(isSpaceChar(b))) // when nextLine, (isSpaceChar(b) && b!=' ')
        {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }

    int skip() {
        int b;
        while ((b = readByte()) != -1 && isSpaceChar(b));
        return b;
    }

    int inti() {
        int num = 0, b;
        boolean minus = false;
        while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        while (true) {
            if (b >= '0' && b <= '9') {
                num = num * 10 + (b - '0');
            } else {
                return minus ? -num : num;
            }
            b = readByte();
        }
    }

    int[][] ar2D(int n, int m) {
        int ark[][] = new int[n][m];
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                ark[i][j] = inti();
            }
        }
        return ark;
    }

    long loni() {
        long num = 0;
        int b;
        boolean minus = false;
        while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        while (true) {
            if (b >= '0' && b <= '9') {
                num = num * 10 + (b - '0');
            } else {
                return minus ? -num : num;
            }
            b = readByte();
        }
    }

    float fl() {
        return Float.parseFloat(stri());
    }

    double dou() {
        return Double.parseDouble(stri());
    }

    char chi() {
        return (char) skip();
    }

    int[] arri(int n) {
        int a[] = new int[n];
        for (int i = 0; i < n; i++) {
            a[i] = inti();
        }
        return a;
    }

    long[] arrl(int n) {
        long a[] = new long[n];
        for (int i = 0; i < n; i++) {
            a[i] = loni();
        }
        return a;
    }

    String[] stra(int n) {
        String a[] = new String[n];
        for (int i = 0; i < n; i++) {
            a[i] = stri();
        }
        return a;
    }

    private static void pa(Object... o) {
        System.out.println(Arrays.deepToString(o));
    }
//    uwi mod pow function

    public static long pow(long a, long n, long mod) {
//		a %= mod;
        long ret = 1;
        int x = 63 - Long.numberOfLeadingZeros(n);
        for (; x >= 0; x--) {
            ret = ret * ret % mod;
            if (n << 63 - x < 0) {
                ret = ret * a % mod;
            }
        }
        return ret;
    }

    int gcd(int a, int b) {
        if (a == 0) {
            return b;
        }
        return gcd(b % a, a);
    }

    long lcm(int a, int b) {
        return a * (b / gcd(a, b));
    }
}
