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 
#include <bits/stdc++.h>
using namespace std;
const int INF = (int)INT_MAX;
const long long INF64 = (long long)1e18;
const long double eps = 1e-9;
const long double pi = 3.14159265358979323846;
double PHI = 1.6180339;
template <class T1>
void deb(T1 e) {
  cout << "-->" << e << "\n";
}
template <class T1, class T2>
void deb(T1 e1, T2 e2) {
  cout << "-->" << e1 << " " << e2 << "\n";
}
template <class T1, class T2, class T3>
void deb(T1 e1, T2 e2, T3 e3) {
  cout << "-->" << e1 << " " << e2 << " " << e3 << "\n";
}
template <class T1, class T2, class T3, class T4>
void deb(T1 e1, T2 e2, T3 e3, T4 e4) {
  cout << "-->" << e1 << " " << e2 << " " << e3 << " " << e4 << "\n";
}
template <class c>
struct rge {
  c b, e;
};
template <class c>
rge<c> range(c i, c j) {
  return rge<c>{i, j};
}
template <class c>
auto dud(c* x) -> decltype(cerr << *x, 0);
template <class c>
char dud(...);
struct debug {
  template <class c>
  debug& operator<<(const c&) {
    return *this;
  }
};
void read(vector<int>& v) {
  int N = (int)v.size();
  for (int i = 0; i < N; i++) {
    cin >> v[i];
  }
}
void Answer() {
  int x;
  cin >> x;
  int val = x;
  x <<= 1;
  x = floor(sqrt(x));
  int sum = (x * (x + 1)) / 2;
  if (sum == val) {
    cout << x << "\n";
    for (int i = 1; i <= x; i++) cout << i << ' ';
  } else {
    int rem = sum % val;
    if (rem > x)
      cout << x << "\n";
    else
      cout << x - 1 << "\n";
    for (int i = 1; i <= x; i++) {
      if (rem == i) continue;
      if (rem > x && i == x) {
        cout << i + val - sum << ' ';
        continue;
      }
      cout << i << ' ';
    }
  }
  cout << "\n";
}
int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  int t = 1;
  while (t--) {
    Answer();
  }
  return 0;
}
