Andrew and the Meatballs again Codechef Solution|Problem Code:AMMEAT2

Hello coders, today we are going to solve Andrew and the Meatballs again Codechef Solution|Problem Code:AMMEAT2.

Problem

Andrew likes meatballs very much as you know.

He has N plates of meatballs, here the i^th plate contains exactly i meatballs. Andrew wants to take exactly K plates to his trip to Las Vegas.

On this occasion, he wants to choose the K plates by a strange way: if both i^th and j^th plates are chosen, then i and j must not be relative prime, for all 1 ≤ i < j ≤ N.

Please help him to choose K plates. Output one of the possible choices.

Input

The first line of the input contains an integer T, denoting the number of test cases. The description of T test cases follows. The first line and only line of each test case contains two space-separated integers N and K.

Output

For each test case, output K distinct integers, denoting the number of selected plates, where the plates are numbered from 1 to N. If there are multiple solutions, any one will do. If it is impossible to choose K plates, print only one integer -1.

Constraints

• 1 ≤ T ≤ 7
• 1 ≤ K ≤ N ≤ 777

Sample Input 1 

2
100 3
100 100

Sample Output 1 

45 63 35
-1

Andrew and the Meatballs again CodeChef Solution in JAVA

import java.util.Arrays;
import java.util.Scanner;
import java.util.stream.Collectors;
import java.util.stream.IntStream;
public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int T = sc.nextInt();
		for (int tc = 0; tc < T; tc++) {
			int N = sc.nextInt();
			int K = sc.nextInt();
			int[] solution = solve(N, K);
			if (solution == null) {
				System.out.println(-1);
			} else {
				System.out.println(String.join(" ",
						Arrays.stream(solution).mapToObj(String::valueOf).collect(Collectors.toList())));
			}
		}
		sc.close();
	}
	static int[] solve(int N, int K) {
		if (K == 1) {
			return new int[] { 1 };
		}
		if (K > N / 2) {
			return null;
		}
		return IntStream.rangeClosed(1, K).map(x -> x * 2).toArray();
	}
}

Disclaimer: The above Problem (Andrew and the Meatballs again) is generated by CodeChef but the solution is provided by Chase2learn.This tutorial is only for Educational and Learning purpose.