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.
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
import java.util.StringTokenizer;

public class Solution implements Runnable
{
    private void solve() throws IOException
    {
        //int n = nextInt();
        long n = nextLong();
        long a = nextLong(), b = nextLong(), c = nextLong();

        if (n % 4 == 0) {
            writer.print( 0 );
            return;
        }

        long aa = Math.min(Math.min( a, (b+c) ), c*3);
        long bb =  Math.min(Math.min( b, a*2 ), c*2);
        long cc = Math.min( Math.min( c, a*3 ), a + b);



       if (n % 4 == 1) {
           writer.print( cc );
       }
       else if (n % 4 == 2) {
           writer.print( bb );
       }
       else if (n % 4 == 3) {
           writer.print( aa );
       }


    }

    private Long sumDiagLR (Long[][] array) {
        long sum = 0;
        int i = 0, j = 0;

        while (i < array.length && j < array.length) {
            sum += array[i][j];
            i++;
            j++;
        }

        return sum;
    }

    private Long sumDiagRL (Long[][] array) {
       long sum = 0;
       int i = array.length-1, j = 0;

       while (i >=0 && j < array.length) {
           sum += array[i][j];
           i--;
           j++;
       }

       return sum;
   }


    private BigInteger factorial( String n )
    {
        BigInteger k = new BigInteger( n );
        BigInteger ans = BigInteger.ONE;

        while ( k.compareTo( BigInteger.ONE ) > 0 )
        {
            ans = ans.multiply( k );
            k = k.subtract( BigInteger.ONE );
        }

        return ans;
    }

    private long combinations( int n, int r )
    {
        return ( factorial( String.valueOf( n ) ).divide( ( new BigInteger( String.valueOf( r ) ).multiply( factorial( String.valueOf( n - r ) ) ) ) ) ).longValue();
    }


    private String binaryXOR( String s1, String s2 )
    {
        BigInteger a = new BigInteger( s1, 2 );
        BigInteger b = new BigInteger( s2, 2 );

        return a.xor( b ).toString( 2 );

    }


    private static void findDP( Node node )
    {
        for ( Node child : node.children )
        {
            if ( child.value > node.value )
            {
                child.dp = Math.max( child.dp, node.dp + 1 );
                //findDP( child );
            }
        }
    }

    private static class Obj implements Comparable<Obj>
    {
        String name;
        int value;

        public Obj( int value )
        {
            this.value = value;
        }

        public Obj( String name, int value )
        {
            this.name = name;
            this.value = value;
        }

        @Override
        public int compareTo( Obj o )
        {
            return o.value - this.value;
        }
    }


    private static class Edge
    {
        PNode src;
        PNode des;
        long cost;

        public Edge (PNode src, PNode des, long cost) {
            this.src = src;
            this.des = des;
            this.cost = cost;
        }
    }

    private static class PNode
    {
        List<Edge> edges;
        long value;
        boolean isTrue;

        public PNode() {
            this.edges = new ArrayList<>(  );
            this.isTrue = false;
        }

        public PNode(long value ) {
           this.edges = new ArrayList<>(  );
           this.isTrue = false;
            this.value = value;
       }
    }

    private static class Node
    {
        long value;
        long dp;
        List<Node> children;
        Node parent;

        public  Node(){};

        public Node( int value )
        {
            this.value = value;
            dp = 1;
            children = new ArrayList<Node>();
        }
    }

    private static boolean isInt( String s )
    {
        if ( s.length() < 1 )
            return false;
        else
        {
            for ( char c : s.toCharArray() )
            {
                if ( c < '0' || c > '9' )
                {
                    return false;
                }
            }
        }

        return true;
    }

    private static Map<String, Integer> findSubString( String s, int k )
    {
        Map<String, Integer> map = new HashMap<>();
        for ( int i = 0; i < s.length() - ( k - 1 ); i++ )
        {
            String str = new String( s.substring( i, i + k ) );
            if ( map.containsKey( str ) )
            {
                map.put( str, map.get( str ) + 1 );
            }
            else
            {
                map.put( str, 1 );

            }
        }

        return map;
    }


    //mergesort

    public static Comparable[] mergeSort( Comparable[] list )
    {
        if ( list.length <= 1 )
        {
            return list;
        }

        Comparable[] left = new Comparable[ list.length / 2 ];
        Comparable[] right = new Comparable[ list.length - left.length ];
        System.arraycopy( list, 0, left, 0, left.length );
        System.arraycopy( list, left.length, right, 0, right.length );

        mergeSort( left );
        mergeSort( right );

        merge( left, right, list );
        return list;
    }

    private static void merge( Comparable[] left, Comparable[] right, Comparable[] result )
    {
        int leftIdx = 0;
        int rightIdx = 0;
        int index = 0;

        while ( leftIdx < left.length && rightIdx < right.length )
        {
            if ( left[ leftIdx ].compareTo( right[ rightIdx ] ) < 0 )
            {
                result[ index++ ] = left[ leftIdx ];
                leftIdx++;
            }
            else
            {
                result[ index++ ] = right[ rightIdx ];
                rightIdx++;
            }
        }

        System.arraycopy( left, leftIdx, result, index, left.length - leftIdx );
        System.arraycopy( right, rightIdx, result, index, right.length - rightIdx );
    }

    public static List<Obj> mergeSort( List<Obj> list )
    {
        if ( list.size() <= 1 )
        {
            return list;
        }

        List<Obj> left = new ArrayList( list.subList( 0, list.size() / 2 ) );
        List<Obj> right = new ArrayList( list.subList( left.size(), list.size() ) );

        left = mergeSort( left );
        right = mergeSort( right );

        list = merge( left, right );

        return list;
    }

    private static List<Obj> merge( List<Obj> left, List<Obj> right )
    {
        int leftCounter = 0, rightCounter = 0;
        List<Obj> result = new ArrayList<>();

        while ( leftCounter < left.size() && rightCounter < right.size() )
        {
            Obj leftItem = left.get( leftCounter );
            Obj rightItem = right.get( rightCounter );

            if ( leftItem.compareTo( rightItem ) < 0 )
            {
                result.add( leftItem );
                leftCounter++;
            }
            else
            {
                result.add( rightItem );
                rightCounter++;
            }
        }

        if ( leftCounter >= left.size() )
            result.addAll( right.subList( rightCounter, right.size() ) );
        else if ( rightCounter >= right.size() )
            result.addAll( left.subList( leftCounter, left.size() ) );

        return result;
    }

    public static void main( String[] args )
    {
        new Solution().run();
    }

    BufferedReader reader;
    StringTokenizer tokenizer;
    PrintWriter writer;

    public void run()
    {
        try
        {
            reader = new BufferedReader( new InputStreamReader( System.in ) );
            tokenizer = null;
            writer = new PrintWriter( System.out );
            solve();
            reader.close();
            writer.close();
        }
        catch ( Exception e )
        {
            e.printStackTrace();
            System.exit( 1 );
        }
    }

    int nextInt() throws IOException
    {
        return Integer.parseInt( nextToken() );
    }

    long nextLong() throws IOException
    {
        return Long.parseLong( nextToken() );
    }

    double nextDouble() throws IOException
    {
        return Double.parseDouble( nextToken() );
    }

    String nextToken() throws IOException
    {
        while ( tokenizer == null || !tokenizer.hasMoreTokens() )
        {
            tokenizer = new StringTokenizer( reader.readLine() );
        }
        return tokenizer.nextToken();
    }

    // Arrays.sort(array, Comparator.comparing((int[] arr) -> arr[1]));
}