Create a method that takes a list of Contact records and inserts only those that have both a FirstName, LastName, and valid AccountId. Return the number of successfully inserted contacts using Database.insert with allOrNone set to false to allow partial success.

Examples:

Input: contacts = [Contact(FirstName='John', LastName='Doe', AccountId='001xxx'), Contact(FirstName='Jane', LastName='Smith', AccountId='001yyy'), Contact(FirstName='Bob', LastName='Wilson', AccountId='001zzz')]
Output: 3
Explanation: All three contacts have FirstName, LastName, and AccountId, so all are inserted

Input: contacts = [Contact(FirstName='John', LastName='Doe', AccountId='001xxx'), Contact(FirstName=null, LastName='Smith', AccountId='001yyy'), Contact(FirstName='Bob', LastName=null, AccountId='001zzz')]
Output: 1
Explanation: Only the first contact has all required fields, so only 1 is successfully inserted

Input: contacts = null
Output: 0
Explanation: Null input returns 0

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