My Password Is 8 Times More Secure Than Yours

An iPhone developer was having difficulty parsing the input that his users provided. As such, instead of having users enter a single password of 8 characters, he requires that the user enter 8 passwords of a single character each. The passwords are entered sequentially, with the app asking the user to enter the next password only once when he/she has successfully entered the previous passwords. He feels that this gives the same level of security, as there are 8 letters in the password.

If each character of the password is either a digit from \(0\) through \(9\) or a capital letter \(A\) to \(Z,\) what is the minimum number of guesses that a hacker must make in order to be sure to correctly enter all the passwords?

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