#include <iostream>
#include <fstream>
#include <cmath>

using namespace std;

int main(void)
{
  ifstream cin("lagrange.txt");

  int n;
  while(cin >> n) {
    if(n == 0) break;
    int m = 0;
    for(int i = 0; i * i * 4 <= n; i++) {
      for(int j = i; i * i + j * j * 3 <= n; j++) {
	for(int k = j; i * i + j * j + k * k * 2 <= n; k++) {
	  double x = sqrt((double)(n - i * i - j * j - k * k));
	  if(x == floor(x)) m++;
	}
      }
    }
    cout << m << endl;
  }
  return 0;
}