Problem: Mahmoud was trying to solve the vertex cover problem on trees. The problem statement is:

Given an undirected tree consisting of n nodes, find the minimum number of vertices that cover all the edges. Formally, we need to find a set of vertices such that for each edge (u, v) that belongs to the tree, either u is in the set, or v is in the set, or both are in the set. Mahmoud has found the following algorithm:

  * Root the tree at node 1. 
  * Count the number of nodes at an even depth. Let it be evenCnt. 
  * Count the number of nodes at an odd depth. Let it be oddCnt. 
  * The answer is the minimum between evenCnt and oddCnt. 



The depth of a node in a tree is the number of edges in the shortest path between this node and the root. The depth of the root is 0.

Ehab told Mahmoud that this algorithm is wrong, but he didn't believe because he had tested his algorithm against many trees and it worked, so Ehab asked you to find 2 trees consisting of n nodes. The algorithm should find an incorrect answer for the first tree and a correct answer for the second one.

Input

The only line contains an integer n (2 ≤ n ≤ 105), the number of nodes in the desired trees.

Output

The output should consist of 2 independent sections, each containing a tree. The algorithm should find an incorrect answer for the tree in the first section and a correct answer for the tree in the second. If a tree doesn't exist for some section, output "-1" (without quotes) for that section only.

If the answer for a section exists, it should contain n - 1 lines, each containing 2 space-separated integers u and v (1 ≤ u, v ≤ n), which means that there's an undirected edge between node u and node v. If the given graph isn't a tree or it doesn't follow the format, you'll receive wrong answer verdict.

If there are multiple answers, you can print any of them.

Examples

Input

2


Output

-1
1 2


Input

8


Output

1 2
1 3
2 4
2 5
3 6
4 7
4 8
1 2
1 3
2 4
2 5
2 6
3 7
6 8

Note

In the first sample, there is only 1 tree with 2 nodes (node 1 connected to node 2). The algorithm will produce a correct answer in it so we printed  - 1 in the first section, but notice that we printed this tree in the second section.

In the second sample:

In the first tree, the algorithm will find an answer with 4 nodes, while there exists an answer with 3 nodes like this: <image> In the second tree, the algorithm will find an answer with 3 nodes which is correct: <image>

Solution (in JAVA):

Solution:
import java.io.IOException;
import java.util.*;
import java.math.*;
import java.io.*;
import java.util.InputMismatchException;	

@SuppressWarnings("unused")
public class main {
	public static void main(String[] args) {
                new main().solve();
                                  }
            public void solve(){
            	int n=sc.nextInt();
            	if(n==1) {
            		System.out.println("-1");
            		System.out.println("1");}
            if(n>1&&n<6)
            	System.out.println("-1");
            	if(n>=6) {
            		System.out.println("1 2");
            		System.out.println("2 3");
            		System.out.println("2 4");
            		System.out.println("3 5");
            		System.out.println("3 6");
            		for(int i=7;i<=n;i++)
            		System.out.println("3"+" "+i);
            		}
            	if(n>1) {
            		for(int i=2;i<=n;i++) 
            			System.out.println("1"+" "+i);
            	}
            	}
            
            
            
            
            
            
            boolean[] sieveOfEratosthenes(int n)
            {
            	
                // Create a boolean array "prime[0..n]" and initialize
                // all entries it as true. A value in prime[i] will
                // finally be false if i is Not a prime, else true.
                boolean prime[] = new boolean[n+1];
                for(int i=0;i<n;i++)
                    prime[i] = true;
                 
                for(int p = 2; p*p <=n; p++)
                {
                    // If prime[p] is not changed, then it is a prime
                    if(prime[p] == true)
                    {
                        // Update all multiples of p
                        for(int i = p*2; i <= n; i += p)
                            prime[i] = false;
                    }
                }
                 
                // Print all prime numbers
               return prime;
            }
            
   /*         void DFS(int v,boolean visited[])
    {
        // Mark the current node as visited and print it
        visited[v] = true;
        System.out.print(v+" ");
 
        // Recur for all the vertices adjacent to this vertex
        Iterator<Integer> i = adj[v].listIterator();
        while (i.hasNext())
        {
            int n = i.next();
            if (!visited[n])
                DFS(n, visited);
        }
    }*/
     static int binomialCoeff(int n, int k)
    {
        int C[] = new int[k + 1];
        
        // nC0 is 1
        C[0] = 1;  
      
        for (int i = 1; i <= n; i++)
        {
            // Compute next row of pascal 
            // triangle using the previous row
            for (int j = Math.min(i, k); j > 0; j--)
                C[j] = C[j] + C[j-1];
        }
        return C[k];
    }
         
          FastReader sc=new FastReader();
static class FastReader
    {
        BufferedReader br;
        StringTokenizer st;
 
        public FastReader()
        {
            br = new BufferedReader(new
                     InputStreamReader(System.in));
        }
 
        String next()
        {
            while (st == null || !st.hasMoreElements())
            {
                try
                {
                    st = new StringTokenizer(br.readLine());
                }
                catch (IOException  e)
                {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }
 
        int nextInt()
        {
            return Integer.parseInt(next());
        }
 
        long nextLong()
        {
            return Long.parseLong(next());
        }
 
        double nextDouble()
        {
            return Double.parseDouble(next());
        }
 
        String nextLine()
        {
            String str = "";
            try
            {
                str = br.readLine();
            }
            catch (IOException e)
            {
                e.printStackTrace();
            }
            return str;
        }
    }}