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 
/*
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 * To change this template file, choose Tools | Templates
 * and open the template in the editor.
 */

import java.awt.Point;
import java.io.*;
import java.math.BigInteger;
import java.util.*;
import java.text.*;

/**
 *
 * @author zulkan
 */
public class cf753a {

    static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    static PrintWriter out = new PrintWriter(System.out);
    static Scanner sc = new Scanner(System.in);

    public static String getString() {
        try {
            return br.readLine();
        } catch (Exception e) {
        }
        return "";
    }

    public static Integer getInt() {
        try {
            return Integer.parseInt(br.readLine());
        } catch (Exception e) {
        }
        return 0;
    }

    public static Integer[] getIntArr() {
        try {
            StringTokenizer temp = new StringTokenizer(br.readLine());
            int n = temp.countTokens();
            Integer temp2[] = new Integer[n];
            for (int i = 0; i < n; i++) {
                temp2[i] = Integer.parseInt(temp.nextToken());
            }
            return temp2;
        } catch (Exception e) {
        }
        return null;
    }

    public static Long[] getLongArr() {
        try {
            StringTokenizer temp = new StringTokenizer(br.readLine());
            int n = temp.countTokens();
            Long temp2[] = new Long[n];
            for (int i = 0; i < n; i++) {
                temp2[i] = Long.parseLong(temp.nextToken());
            }
            return temp2;
        } catch (Exception e) {
        }
        return null;
    }

    public static String[] getStringArr() {
        try {
            StringTokenizer temp = new StringTokenizer(br.readLine());
            int n = temp.countTokens();
            String temp2[] = new String[n];
            for (int i = 0; i < n; i++) {
                temp2[i] = (temp.nextToken());
            }
            return temp2;
        } catch (Exception e) {
        }
        return null;
    }

    public static void print(Object a) {
        out.print(a);
    }

    public static void println(Object a) {
        out.println(a);
    }

    public static void printf(String s, Object... a) {
        out.printf(s, a);
    }

    public static int nextInt() {
        return sc.nextInt();
    }

    public static double nextDouble() {
        return sc.nextDouble();
    }

    public static void main(String[] ar) {
        cf753a c = new cf753a();
        c.solve();
        out.flush();
    }

    public void solve() {

        int n = getInt();

        int curs = 0;

        ArrayList<Integer> su = new ArrayList<>();

        for (int i = 1; i <= n+5; i++) {
//            System.out.println(curs + " m " + i);
            if (curs + i > n) {
//                System.out.println(curs + " mx " + i);

                su.add(n - curs);
                break;
            }
            curs += i;
            su.add(i);

        }

//        System.out.println(su);

        println(su.size() - 1);

        for (int i = 0; i < su.size() - 2; i++) {
            print(su.get(i) + " ");
        }
        println(su.get(su.size() - 1) + su.get(su.size() - 2));

    }

}
