How to reduce Seq[Either[A,B]] to Either[A,Seq[B]]?

Question

Given a sequence of eithers Seq[Either[String,A]] with Left being an error message. I want to obtain an Either[String,Seq[A]] where I

Answer 1

Given a starting sequence xs, here's my take:

xs collectFirst { case x@Left(_) => x } getOrElse
  Right(xs collect {case Right(x) => x})

This being in answer to the body of the question, obtaining only the first error as an Either[String,Seq[A]]. It's obviously not a valid answer to the question in the title

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To return all errors:

val lefts = xs collect {case Left(x) => x }
def rights = xs collect {case Right(x) => x}
if(lefts.isEmpty) Right(rights) else Left(lefts)

Note that rights is defined as a method, so it'll only be evaluated on demand, if necessary