C#中如何使用属性和索引器简化代码

public class Person
{
    private string name;

    public string Name
    {
        get { return name; }
        set { name = value; }
    }
}

Person person = new Person();
person.Name = "Alice";
Console.WriteLine(person.Name);  // 输出：Alice

public class Person
{
    private int age;
    
    public int Age
    {
        get { return age; }
        set
        {
            if (value >= 0 && value <= 120)
                age = value;
            else
                throw new ArgumentOutOfRangeException("Age must be between 0 and 120.");
        }
    }
}

public class Students
{
    private List<string> names;

    public Students()
    {
        names = new List<string>();
    }

    public string this[int index]
    {
        get
        {
            if (index >= 0 && index < names.Count)
                return names[index];
            else
                throw new IndexOutOfRangeException("Invalid index.");
        }
        set 
        {
            if (index >= 0 && index < names.Count)
                names[index] = value;
            else if (index == names.Count)
                names.Add(value);
            else
                throw new IndexOutOfRangeException("Invalid index.");
        }
    }
}

Students students = new Students();
students[0] = "Alice";
students[1] = "Bob";
Console.WriteLine(students[0]);  // 输出：Alice
Console.WriteLine(students[1]);  // 输出：Bob