You can have cells with more than one value with the value above 2048 but below 128K, and I don't think your scheme works much in those cases. It seems like an

You can have cells with more than one value with the value above 2048 but below 128K, and I don't think your scheme works much in those cases. It seems like an open question as to whether there are more than 2^64 possible states without the 2048 limit.