Since you don't explicitly invoke a parent constructor as part of your child class constructor, there is an implicit call to a parameterless parent constructor inserted. That constructor does not exist, and so you get that error.
To correct the situation, you need to add an explicit call:
public Child(int i) : base(i)
{
Console.WriteLine("child");
}
Or, you can just add a parameterless parent constructor:
protected Parent() { }
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