Santa Claus has n candies, he dreams to give them as gifts to children.

What is the maximal number of children for whose he can give candies if Santa Claus want each kid should get distinct positive integer number of candies. Santa Class wants to give all n candies he has.

Input

The only line contains positive integer number n (1 ≤ n ≤ 1000) — number of candies Santa Claus has.

Output

Print to the first line integer number k — maximal number of kids which can get candies.

Print to the second line k distinct integer numbers: number of candies for each of k kid. The sum of k printed numbers should be exactly n.

If there are many solutions, print any of them.

Examples

Input

5


Output

2
2 3


Input

9


Output

3
3 5 1


Input

2


Output

1
2 

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;
public class Newbie {

    static class InputReader {
        public BufferedReader br;
        public StringTokenizer token;
        public InputReader(InputStream stream)
        {
            br=new BufferedReader(new InputStreamReader(stream),32768);
            token=null;
        }

        public String next()
        {
            while(token==null || !token.hasMoreTokens())
            {
                try
                {
                    token=new StringTokenizer(br.readLine());
                }
                catch(IOException e)
                {
                    throw new RuntimeException(e);
                }
            }
            return token.nextToken();
        }

        public int nextInt()
        {
            return Integer.parseInt(next());
        }

        public long nextLong()
        {
            return Long.parseLong(next());
        }

        public double nextDouble()
        {
            return Double.parseDouble(next());
        }
    }

    static class card{
        long a;
        int cnt;
        int i;
        public card(long a,int cnt,int i)
        {
            this.a=a;
            this.cnt=cnt;
            this.i=i;
        }
    }

    static class ascend implements Comparator<pair>
    {
        public int compare(pair o1,pair o2)
        {
            if(o1.b!=o2.b)
                return (int)(o1.b-o2.b);
            else 
                return o1.a-o2.a;
        }
    }

    /*static class descend implements Comparator<pair>
    {
    public int compare(pair o1,pair o2)
    {
    if(o1.a!=o2.a){
    return (o1.a-o2.a)*-1;
    } else {
    return (o1.b-o2.b);
    }
    }
    }*/

    static class extra
    {

        static void shuffle(long a[])
        {
            List<Long> l=new ArrayList<>();
            for(int i=0;i<a.length;i++)
                l.add(a[i]);
            Collections.shuffle(l);
            for(int i=0;i<a.length;i++)
                a[i]=l.get(i);
        }

        static long gcd(long a,long b)
        {
            if(b==0)
                return a;
            else
                return gcd(b,a%b);
        }

        static boolean valid(int i,int j,int r,int c)
        {
            if(i>=0 && i<r && j>=0 && j<c)
                return true;
            else
                return false;
        }

        static boolean v[]=new boolean[100001];
        static List<Integer> l=new ArrayList<>();
        static int t;
        static void seive()
        {
            for(int i=2;i<100001;i++)
            {
                if(!v[i])
                {
                    t++;
                    l.add(i);
                    for(int j=2*i;j<100001;j+=i)
                        v[j]=true;
                }
            }
        }

        static int binary(pair a[],int val,int n)
        {
            int mid=0,l=0,r=n-1,ans=0;
            while(l<=r)
            {
                mid=(l+r)>>1;
                if(a[mid].a==val)
                {
                    r=mid-1;
                    ans=mid;
                }
                else if(a[mid].a>val)
                    r=mid-1;
                else
                {
                    l=mid+1;
                    ans=l;
                }
            }
            return (ans);
        }
    }

    static class pair{
        int a;
        int b;
        public pair(int a,int n)
        {
            this.a=a;
            this.b=n;
        }
    }

    static InputReader sc=new InputReader(System.in);
    static PrintWriter out=new PrintWriter(System.out);
    public static void main(String[] args) {
        solver s=new solver();
        int t=1;
        while(t>0)
        {
            s.solve();
            t--;
        }
    }
    static class solver
    {
        void solve()
        {
            int n=sc.nextInt();
            int t=((int)Math.ceil((double)Math.sqrt(1+8*n)))/2;
            //System.out.println(t);
            if((t*(t+1))/2 >n)
            {
                t-=1;
            }
            System.out.println(t);
            if(t==1)
                System.out.print(n);
            else
            {
                int p=1;
                while(t>0)
                {
                    System.out.print(p+" ");
                    n-=p;
                    p++;
                    t--;
                    if(t==1)
                    {
                        System.out.print(n+" ");
                        t=0;
                    }
                }
            }

        }
    }
}
