I'm trying to write a function that receives a vector of vectors of strings and returns all vectors concatenated together, i.e. it returns a vector of strings.
The best I could do so far has been the following:
fn concat_vecs(vecs: Vec<Vec<String>>) -> Vec<String> {
    let vals : Vec<&String> = vecs.iter().flat_map(|x| x.into_iter()).collect();
    vals.into_iter().map(|v: &String| v.to_owned()).collect()
}
However, I'm not happy with this result, because it seems I should be able to get Vec<String> from the first collect call, but somehow I am not able to figure out how to do it.
I am even more interested to figure out why exactly the return type of collect is Vec<&String>. I tried to deduce this from the API documentation and the source code, but despite my best efforts, I couldn't even understand the signatures of functions.
So let me try and trace the types of each expression:
- vecs.iter(): Iter<T=Vec<String>, Item=Vec<String>>
- vecs.iter().flat_map(): FlatMap<I=Iter<Vec<String>>, U=???, F=FnMut(Vec<String>) -> U, Item=U>
- vecs.iter().flat_map().collect(): (B=??? : FromIterator<U>)
- vals was declared as Vec<&String>, therefore 
      vals == vecs.iter().flat_map().collect(): (B=Vec<&String> : FromIterator<U>). Therefore U=&String.
I'm assuming above that the type inferencer is able to figure out that U=&String based on the type of vals. But if I give the expression the explicit types in the code, this compiles without error:
fn concat_vecs(vecs: Vec<Vec<String>>) -> Vec<String> {
    let a: Iter<Vec<String>> = vecs.iter();
    let b: FlatMap<Iter<Vec<String>>, Iter<String>, _> = a.flat_map(|x| x.into_iter());
    let c = b.collect();
    print_type_of(&c);
    let vals : Vec<&String> = c;
    vals.into_iter().map(|v: &String| v.to_owned()).collect()
}
Clearly, U=Iter<String>... Please help me clear up this mess.
EDIT: thanks to bluss' hint, I was able to achieve one collect as follows:
fn concat_vecs(vecs: Vec<Vec<String>>) -> Vec<String> {
    vecs.into_iter().flat_map(|x| x.into_iter()).collect()
}
My understanding is that by using into_iter I transfer ownership of vecs to IntoIter and further down the call chain, which allows me to avoid copying the data inside the lambda call and therefore - magically - the type system gives me Vec<String> where it used to always give me Vec<&String> before. While it is certainly very cool to see how the high-level concept is reflected in the workings of the library, I wish I had any idea how this is achieved.
EDIT 2: After a laborious process of guesswork, looking at API docs and using this method to decipher the types, I got them fully annotated (disregarding the lifetimes):
fn concat_vecs(vecs: Vec<Vec<String>>) -> Vec<String> {
    let a: Iter<Vec<String>> = vecs.iter();
    let f : &Fn(&Vec<String>) -> Iter<String> = &|x: &Vec<String>| x.into_iter();
    let b: FlatMap<Iter<Vec<String>>, Iter<String>, &Fn(&Vec<String>) -> Iter<String>> = a.flat_map(f);
    let vals : Vec<&String> = b.collect();
    vals.into_iter().map(|v: &String| v.to_owned()).collect()
}
 
     
    