What is the perplexity if the cross entropy is one less than the second digit from the left in the zipcode of Princeton, New Jersey, USA?
Think step by step, first determine the pincode, then find its second digit from left, then compute the cross entropy, then the perplexity.

To determine the perplexity, let's follow the steps you provided:

Step 1: Determine the zipcode of Princeton, New Jersey, USA.
The zipcode for Princeton, New Jersey is 08540.

Step 2: Find the second digit from the left in the zipcode.
The second digit from the left in the zipcode 08540 is 8.

Step 3: Compute the cross entropy.
You mentioned that the cross entropy is one less than the second digit from the left, which is 8. Therefore, the cross entropy would be 7.