/** The sequence of triangle numbers is generated by adding the natural numbers. So the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. The first ten terms would be:
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
Let us list the factors of the first seven triangle numbers:
 1: 1
 3: 1,3
 6: 1,2,3,6
10: 1,2,5,10
15: 1,3,5,15
21: 1,3,7,21
28: 1,2,4,7,14,28
We can see that 28 is the first triangle number to have over five divisors.
What is the value of the first triangle number to have over five hundred divisors? */

#include "0.hpp"

int main()
{
  uu n = 1;
  uu max;
  uu sqr;
  timeb start, now;
  ftime(&start);
  do {
    max = n * (n + 1) / 2;
    sqr = (uu)(sqrt((double)max));
    int count = 0;
    uu temp = 1;
    while(temp < sqr) {
      if(max % temp == 0) count++;
      temp++;
    }
    ftime(&now);
    if(count >= 250) {
      cout << n << "   " << max << "   time: " << (now.time * 1000 + now.millitm - start.time * 1000 - start.millitm) << "ms" << endl;
      break;
    }
    n++;
  } while(1);
  
  return 0;
}