PAS01 - Panda and sets
Panda likes to play with sets, integers and gcd. gcd 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, gcd(si, sj) = k
Given k and n, Panda 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 unused). 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 5, 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 gcd(2, 4) = 2 not 1
hide comments
Soma:
2015-06-16 01:35:35
@author : can u check my code i am getting WA? i am sure i am applying correct algorithm but not able to figure out why i am getting WA. code id := 14462138.
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szsz:
2015-05-20 23:45:11
I also have a feeling that the test cases are incorrect. I would also like to ask the author to please check. |
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Pulkit Singhal:
2015-05-14 14:10:49
Please check that input data is correct or not :( |
Added by: | SrGrace |
Date: | 2015-05-08 |
Time limit: | 0.100s-1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ASM64 JS-MONKEY |