Edit: Added a high level description :)
What this code does is group each element by the domain, sort the groups by size in descending order (largest group first), project the elements of each group into a stack, and pop them off of each stack (always pop the next element off the largest stack with a different domain). If there is only a single stack left, then its contents are yielded.
This should make sure that all domains distributed as evenly as possible.
MaxBy extension method from: https://stackoverflow.com/a/31560586/969962
private IEnumerable<string> GetNonConsecutiveEmails(List<string> list)
{
var emailAddresses = list.Distinct().Select(email => new EmailAddress { Email = email, Domain = email.Split('@')[1]}).ToArray();
var groups = emailAddresses
.GroupBy(addr => addr.Domain)
.Select (group => new { Domain = group.Key, EmailAddresses = new Stack<EmailAddress>(group)})
.ToList();
EmailAddress lastEmail = null;
while(groups.Any(g => g.EmailAddresses.Any()))
{
// Try and pick from the largest stack.
var stack = groups
.Where(g => (g.EmailAddresses.Any()) && (lastEmail == null ? true : lastEmail.Domain != g.Domain))
.MaxBy(g => g.EmailAddresses.Count);
// Null check to account for only 1 stack being left.
// If so, pop the elements off the remaining stack.
lastEmail = (stack ?? groups.First(g => g.EmailAddresses.Any())).EmailAddresses.Pop();
yield return lastEmail.Email;
}
}
class EmailAddress
{
public string Domain;
public string Email;
}
public static class Extensions
{
public static T MaxBy<T,U>(this IEnumerable<T> data, Func<T,U> f) where U:IComparable
{
return data.Aggregate((i1, i2) => f(i1).CompareTo(f(i2))>0 ? i1 : i2);
}
}