Problem: Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b.

Let S be a set of exactly four distinct integers greater than 0. Define S to be of rank k if and only if for all pairs of distinct elements si, sj from S, <image>.

Given k and n, Dreamoon wants to make up n sets of rank k using integers from 1 to m such that no integer is used in two different sets (of course you can leave some integers without use). Calculate the minimum m that makes it possible and print one possible solution.

Input

The single line of the input contains two space separated integers n, k (1 ≤ n ≤ 10 000, 1 ≤ k ≤ 100).

Output

On the first line print a single integer — the minimal possible m. 

On each of the next n lines print four space separated integers representing the i-th set.

Neither the order of the sets nor the order of integers within a set is important. If there are multiple possible solutions with minimal m, print any one of them.

Examples

Input

1 1


Output

5
1 2 3 5


Input

2 2


Output

22
2 4 6 22
14 18 10 16

Note

For the first example it's easy to see that set {1, 2, 3, 4} isn't a valid set of rank 1 since <image>.

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Comparator;

public class d {
    static BufferedReader s = new BufferedReader(new InputStreamReader(System.in));
    // static Scanner s=new Scanner(System.in);
    public static void main(String[] args) throws IOException {
        StringBuilder sb = new StringBuilder();
        String[] s1=s();int n=i(s1[0]);int k=i(s1[1]);
        long a=0;long max=0;
        for(int i=0;i<n;i++){
            sb.append((6*a+1)*k+" "+(6*a+2)*k+" "+(6*a+3)*k+" "+(6*a+5)*k+"\n");
            max=(6*a+5)*k;
            a++;

        }
        System.out.println(max);
        System.out.println(sb.toString());
    }
    static int MAXN;
    static int[] spf;
    static void sieve() {
        spf[1] = 1;
        for (int i=2; i<MAXN; i++)
            spf[i] = i;
        for (int i=4; i<MAXN; i+=2)
            spf[i] = 2;
        for (int i=3; i*i<MAXN; i++)
        {
            if (spf[i] == i)
            {
                for (int j=i*i; j<MAXN; j+=i)

                    if (spf[j]==j)
                        spf[j] = i;
            }
        }
    }

    static String[] s() throws IOException {

        return s.readLine().trim().split("\\s+");
    }

    static int i(String ss) {
        return Integer.parseInt(ss);
    }
    static long l(String ss) {
        return Long.parseLong(ss);
    }
}

class Student12 {
    int  l;int r;
    public Student12(int l, int r) {
        this.l = l;
        this.r = r;
    }

    public String toString()
    {
        return this.l+" ";
    }
}
class Sortbyroll12 implements Comparator<Student12> {

    public int compare(Student12 a, Student12 b){
       /* if(b.r<a.r) return -1;
        else if(b.r==a.r) return 0;
        return 1;*/
       if(b.r-b.l>a.r-a.l) return 1;
       else if(b.r-b.l==a.r-a.l) {
           return a.l-b.l;
       }else return -1;/*
       if(b.l<a.l) return -1;
       else if(b.l==a.l) {
           return b.r-a.r;
       }
       return 1;*/
        //        return b.r- a.r;
        //        return (int) a.l-(int) b.l;
         /*   if(a.r<b.r) return -1;
            else if(a.r==b.r){
                if(a.r==b.r){
                    return 0;
                }
                if(a.r<b.r) return -1;
                return 1;}
            return 1;  */}
}