Problem: Bike is interested in permutations. A permutation of length n is an integer sequence such that each integer from 0 to (n - 1) appears exactly once in it. For example, [0, 2, 1] is a permutation of length 3 while both [0, 2, 2] and [1, 2, 3] is not.

A permutation triple of permutations of length n (a, b, c) is called a Lucky Permutation Triple if and only if <image>. The sign ai denotes the i-th element of permutation a. The modular equality described above denotes that the remainders after dividing ai + bi by n and dividing ci by n are equal.

Now, he has an integer n and wants to find a Lucky Permutation Triple. Could you please help him?

Input

The first line contains a single integer n (1 ≤ n ≤ 105).

Output

If no Lucky Permutation Triple of length n exists print -1.

Otherwise, you need to print three lines. Each line contains n space-seperated integers. The first line must contain permutation a, the second line — permutation b, the third — permutation c.

If there are multiple solutions, print any of them.

Examples

Input

5


Output

1 4 3 2 0
1 0 2 4 3
2 4 0 1 3


Input

2


Output

-1

Note

In Sample 1, the permutation triple ([1, 4, 3, 2, 0], [1, 0, 2, 4, 3], [2, 4, 0, 1, 3]) is Lucky Permutation Triple, as following holds:

  * <image>; 
  * <image>; 
  * <image>; 
  * <image>; 
  * <image>. 



In Sample 2, you can easily notice that no lucky permutation triple exists.

Solution (in JAVA):

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

public class Codeforces {

    private static final Scanner sc = new Scanner(System.in);
    private static final BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    private static final long MOD = (long) (1e9 + 7);

    public static int[] LPS(String p){
        int[] lps = new int[p.length()];

        int i=1;
        int j=0;
        while (i < p.length()){
            if (p.charAt(i) == p.charAt(j)){
                lps[i] = j+1;
                i++;
                j++;
            }
            else{
                if (j == 0){
                    lps[i] = 0;
                    i++;
                }
                else{
                    j = lps[j-1];
                }
            }
        }
        return lps;
    }

    public static void KMP(String text,String pattern){
        int[] lps = LPS(pattern);
        int i = 0;
        int j = 0;
        ArrayList<Integer> matches = new ArrayList<>();
        while (i < text.length()){
            if (text.charAt(i) == pattern.charAt(j)){
                i++;
                j++;
            }
            else{
                if (j != 0){
                    j = lps[j-1];
                }
                else {
                    i++;
                }
            }
            if (j == pattern.length()) {
                matches.add(i - j);
                j = lps[j-1];
            }
        }
        for (int x : matches){
            System.out.println("Match at : " + x);
        }
    }

    private static class SegmentTree{
        private long[] st;
        private int size;
        private int n;
        private long[] a;
        SegmentTree(long[] a,int n){
            this.size = 4*n;
            this.n = n;
            this.a = a;
            st = new long[size];
            //Arrays.fill(st,Integer.MIN_VALUE);
            buildSegmentTree(0,0,n-1);
            //printSegmentTree();
        }
        public long buildSegmentTree(int index,int l,int r){
            if (l == r){
                st[index] = a[l];
                return a[l];
            }
            int mid = (r+l) >> 1;
            return st[index] = buildSegmentTree(2*index+1,l,mid) + buildSegmentTree(2*index+2,mid+1,r);
        }
        public void printSegmentTree(){
            for (long x : st){
                System.out.print(x + " ");
            }
            System.out.println();
        }
        public long query(int ql,int qr){
            return getQuery(0,0,n-1,ql-1,qr-1);
        }
        private long getQuery(int index,int sl,int sr,int ql,int qr){
            //System.out.println("#" + index);
            if (qr < sl || ql > sr)
                return 0;
            if (ql <= sl && qr >= sr)
                return st[index];
            int mid = (sr + sl) >> 1;
            return getQuery(2*index+1,sl,mid,ql,qr) + getQuery(2*index+2,mid+1,sr,ql,qr);
        }
        public void update(int i,long newVal){
            //long diff = newVal - a[i];
            a[i] = newVal;
            updateSegmentTree(0,i,0,n-1,newVal);
        }
        private void updateSegmentTree(int index,int i,int sl,int sr,long diff){
            if (sl == sr){
                st[index] = diff;
                return;
            }
            int mid = (sl + sr) >> 1;
            if (i <= mid)
                updateSegmentTree(2*index+1,i,sl,mid,diff);
            else
                updateSegmentTree(2*index+2,i,mid+1,sr,diff);
            st[index] = st[2*index+1] + st[2*index+2];
        }
    }

    public static class Pair<T1,T2>{
        T1 first;
        T2 second;
        Pair(T1 a,T2 b){
            this.first = a;
            this.second = b;
        }

        @Override
        public String toString() {
            return "[" + first + ", " + second + "]";
        }
    }

    public static long GCD(long a,long b){
        if (b == 0)
            return a;
        return GCD(b,a%b);
    }

    static int highestPowerOf2(int n) {
        int p = (int)(Math.log(n) /
                Math.log(2));
        return (int)Math.pow(2, p);
    }

    public static int binSearch(long[] a,long x){
        int l = 0;
        int r = a.length - 1;
        while (l <= r){
            int mid = l + (r-l)/2;
            if (a[mid]==x)
                return 1;
            else if (a[mid] < x)
                l = mid+1;
            else
                r = mid-1;
        }
        return -1;
    }

    public static int upperBound(long[] arr,long key){
        int start=0;int end=arr.length-1;
        int idx=-1;
        int mid;
        while(start<=end){
            int i=(start+end)/2;
            if(arr[i]<key){
                start=i+1;
            }
            else if(arr[i]>key){
                end=i-1;
            }
            else{
                idx=i;
                start=i+1;
            }
        }

        return idx;    }

    public static int lowerBound(long[] arr,long key){
        int start=0;int end=arr.length-1;
        int idx=-1;
        int mid;
        while(start<=end){
            int i=(start+end)/2;
            if(arr[i]<key){
                start=i+1;
            }
            else if(arr[i]>key){
                end=i-1;
            }
            else{
                idx=i;
                end=i-1;
            }
        }
        return idx;
    }

    public static int searchInsert(long[] nums, long target) {
        int s=0,e=nums.length-1;
        int mid;
        if(target<nums[0]){
            return 0;
        }
        while(s<=e){
            mid=(s+e)/2;
            if(nums[mid]>target){
                e=mid-1;
            }
            else if(nums[mid]==target){
                return mid;
            }
            else{
                s=mid+1;
            }
        }
        return s;
    }

    static boolean isPrime(long n) {
        if (n <= 1)
            return false;
        if (n <= 3)
            return true;

        if (n % 2 == 0 || n % 3 == 0)
            return false;

        for (long i = 5; i <= Math.sqrt(n); i = i + 6)
            if (n % i == 0 || n % (i + 2) == 0)
                return false;

        return true;
    }

    public static long fastExpo(long a,int n,int mod){
        if (n == 0)
            return 1;
        else{
            if ((n&1) == 1){
                long x = fastExpo(a,n/2,mod);
                return (((a*x)%mod)*x)%mod;
            }
            else{
                long x = fastExpo(a,n/2,mod);
                return (((x%mod)*(x%mod))%mod)%mod;
            }
        }
    }

    public static long modInverse(long n,int p){
        return fastExpo(n,p-2,p);
    }

    public static long nCr(int n,int r,long[] fact,int mod){
        long val =  (((fact[n] * modInverse(fact[r],mod))%mod)*modInverse(fact[n-r],mod))%mod;
        return val;
    }

    public static void factorial(long[] fact,int n,int mod){
        for (int i=1;i<=n;i++){
            fact[i] = (fact[i-1] * i)%mod;
        }
    }

    public static int log2(long val){
        return (int) Math.floor(Math.log(val)/Math.log(2));
    }

    public static boolean isSubSequence(String s,String t){
        int i = 0;
        int j = 0;
        while (i < s.length() && j < t.length()){
            if (s.charAt(i) == t.charAt(j))
                j++;
            i++;
        }
        return j == t.length();
    }

    public static void solve() throws IOException {
        int n = sc.nextInt();
        if ((n&1) == 0){
            System.out.println(-1);
            return;
        }
        for (int i = 0; i < n; i++) {
            System.out.print(i + " ");
        }
        System.out.println();
        for (int i = 0; i < n; i++) {
            System.out.print(i + " ");
        }
        System.out.println();
        for (int i = 0; i < n; i++) {
            System.out.print((i+i)%n + " ");
        }
        System.out.println();
    }
    public static void main(String[] args) throws IOException {
        int t;
//        t = sc.nextInt();
        t = 1;
        while (t-- > 0){
            solve();
        }
        System.gc();
    }
}