Meta Solutions Engineer interview questions

Given an array of integers, write an in-place function to bring all the non-zero elements to the left of the array keeping the original order.

Write a basic Regex engine implementing the "." (any character) and "*" (previous rule, 0 to many). The function receives a string (letters only, no need for escaping) and a string pattern. It returns a bool whether the string matches the pattern. For example, the pattern "AB.*E" should match both "ABCDE" and "ABEEE".

Given a pointer to the head of a singly linked list, iterate it backwards printing the values in reverse. Give 2 implementations - a recursive one, and an iterative one.

Business/Product scenarios: Talking to a CEO of a company that do not currently use Facebook, how can they use their existing customers database to start a targeted campaign?; Which metrics are the most meaningful for a CEO? (Awareness/Conversions/Retention) How these metrics can be measured (technically) using Facebook products?; Using Facebook ads to promote a mobile app, how would you detect and count installs that were caused by the campaign on Facebook? Personal/Background questions: Tell me about yourself; Give examples of big career challenges; Why do you want to join Facebook?; What is Facebook's most innovative feature?; 2 most amazing web products in the last year?