Dictionary.ContainsKey return False, but a want True

You want true – but a and b are different objects.

You need to override GetHashCode and Equals on class Key

public class Key
{
    string name;
    public Key(string n) { name = n; }

    public override int GetHashCode()
    {
        if (name == null) return 0;
        return name.GetHashCode();
    }

    public override bool Equals(object obj)
    {
        Key other = obj as key;
        return other != null && other.name == this.name;
    }
}

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