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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int next() {
  int x;
  cin >> x;
  return x;
}
long long nextl() {
  long long x;
  cin >> x;
  return x;
}
double nextd() {
  double x;
  cin >> x;
  return x;
}
void out(long long x) { printf("%d ", x); }
void outln(long long x) { printf("%d\n", x); }
void outln() { printf("\n"); };
int main() {
  int n = next();
  int k = next();
  outln((6 * n - 1) * k);
  for (int i = 0; i < n; i++)
    printf("%d %d %d %d\n", k * (6 * i + 1), k * (6 * i + 2), k * (6 * i + 3),
           k * (6 * i + 5));
}