/* demonstration of a program with no assertions */

#include <cassert>
#include <iostream>


int isqrt(int i);


int main()//unit tests for isqrt
{
	assert(isqrt(0)==0);
	assert(isqrt(1)==1);
	assert(isqrt(2)==1);
	assert(isqrt(3)==1);
	assert(isqrt(4)==2);

     for ( int i = 0; i<30; i++)
     {  int n = isqrt(i);
        assert( (n*n <= i) && (i <(n+1)*(n+1)));
     }
}

int isqrt(int i)
{ 
  int n;// will become n where  (n*n <= i) && (i <(n+1)*(n+1))
  n=0;
  int s = 1;
  int odd = 1;
  while( !(i <s ) )
  {
     n++;
     odd+=2;
     s = s +odd;
  }
 return n;
}