#include <bits/stdc++.h>
using namespace std;

#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;

template <class T> using v = vector<T>;
using ll = long long;
using dd = long double;
using int2 = pair<int, int>;
using ll2 = pair<ll, ll>;
using dd2 = pair<dd, dd>;

#define f first
#define s second
#define all(x) begin(x), end(x)
istream &__cin = cin;
#ifdef DEV_MODE
#include "debug.h"
__cinwrapper __cin_wrapper;
#define cin __cin_wrapper
#else
#define dbg(...)
#define dbg2d(...)
#endif

template <class T1, class T2>
istream &operator>>(istream &in, pair<T1, T2> &p) {
  in >> p.first >> p.second;
  return in;
}
template <class T> istream &operator>>(istream &in, v<T> &v) {
  for (auto &x : v)
    in >> x;
  return in;
}
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

/*
 _______________________________________
( If you don't fail at least 90% of the )
( time, you're not aiming high enough.  )
(                                       )
( - Alan Kay                            )
 ---------------------------------------
        o   ^__^
         o  (oo)\_______
            (__)\       )\/\
                ||----w |
                ||     ||
*/

const bool INTERACTIVE = false;
const bool MULTITEST = false;
/******************************************************************************/

#pragma region templates

#pragma endregion templates

int dp[76][10001][4]{0};

void solve() {
  int n;
  cin >> n;

  for (int i = 0; i * i <= 5000; i++) {
    for (int q = 1; q <= 4 && q * i * i <= 5000; q++) {
      dp[i][5000 + q * i * i][q - 1] = 1;
      if (q != 4)
        dp[i][5000 - q * i * i][q - 1] = 1;
    }
  }
  for (int i = 1; i <= 75; i++) {
    for (int j = 0; j <= 1e4; j++) {
      dp[i][j][0] += dp[i - 1][j][0];
    }
  }

  for (int i = 1; i <= 75; i++) {
    for (int j = 0; j <= 1e4; j++) {
      for (int k = 1; k < 4; k++) {
        for (int q = 1; q <= k; q++) {
          if (j - q * i * i >= 0)
            dp[i][j][k] += dp[i - 1][j - q * i * i][k - q];
          if (j + q * i * i <= 1e4 && k != 3)
            dp[i][j][k] += dp[i - 1][j + q * i * i][k - q];
        }
        dp[i][j][k] += dp[i - 1][j][k];
      }
    }
  }

  cout << dp[(int)sqrt(n)][5000 + n][3];
}

int main() {
#ifdef DEV_MODE
  debug_start(INTERACTIVE, "k.txt");
#else
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
#endif
  int t;
  if (MULTITEST)
    cin >> t;
  else
    t = 1;
  while (t--)
    solve();

#ifdef DEV_MODE
  debug_exit(INTERACTIVE);
#endif
}
#ifdef DEV_MODE
#include "debug.cpp"
#endif