How to interlace an iterator with itself from the end?

I have an iterator in the form 0..=63, i.e.
0 1 2 3 4 ... 59 60 61 62 63.
Its .count() is 64.

How would I get the following iterator:
0 63 1 62 2 61 3 60 4 59 ...
(of course independent of the items present in the iterator), preferably without cloning?
The .count() should stay the same, as only the order of items should change.

I’ve looked in the standard library and couldn’t find it, same in the itertools crate.

>Solution :

Here’s one way using only the standard library. It requires a DoubleEndedIterator and will skip the last item for odd sized iterators:

fn main() {
    let mut range = (0..=63).into_iter();
    let iter = std::iter::from_fn(|| Some([range.next()?, range.next_back()?])).flatten();
    dbg!(iter.collect::<Vec<_>>());
}

Output:

[src/main.rs:4] iter.collect::<Vec<_>>() = [
    0,
    63,
    1,
    62,
    2,
    61,
    3,
...

    30,
    33,
    31,
    32,
]

Playground