/* We need standard IO */
#include <stdio.h>

/* factor a number by Han's method. */
/* Generating relation is N = pq = ss+r = (q-2x)q = qq-2xq */
/*  DN wrt x = -2q                                         */
/*  DN wrt q = 2(q-x)+1                                    */
main () {
  long n, p, q, x, q2, x2, t;

  printf ("Factor a positive odd number by Han's method\n");
  printf ("N = \n"); scanf ("%ld", &n);
  printf ("Factoring %ld\n", n);
  if (n<1) { printf ("N must be greater than zero\n"); return 1;}
  if (n%2==0) { printf ("N must be odd\n"); return 1;}

  q=0; x=0; q2=2*q; x2=2*x; t = (q-x2)*q - n;

  while (t!=0) if (t<0) { t += q2-x2+1; q2 += 2;}
               else     { t -= q2;      x2 += 2;}

  q = q2 / 2; p = q - x2; 
  printf ("%ld*%ld=%ld\n",p,q,n);
}