Consider the fraction, `n/d`, where `n` and `d` are positive integers.
If `n<d` and `HCF(n,d)=1`, it is called a reduced proper fraction.

If we list the set of reduced proper fractions for `d <= 8` in ascending order of size, we get:

~~~
1/8, 1/7, 1/6, 1/5, 1/4, 2/7, 1/3, 3/8, 2/5, 3/7, 1/2, 4/7, 3/5, 5/8, 2/3, 5/7, 3/4, 4/5, 5/6, 6/7, 7/8
~~~

It can be seen that there are 21 elements in this set.

How many elements would be contained in the set of reduced proper fractions for `d <= 1,000,000`?