Q1. THE FIRST ATTENDANCE QUESTION WAS
When and where were Herbert Wilf born

A1. MY ANSWER TO THE FIRST ATTENDANCE QUESTION IS
June 13, 1931
Philadelphia, Pennsylvania, US


Q2. THE  SECOND ATTENDANCE QUESTION WAS
What is the prob of always staying the region x>=y?

A2. MY ANSWER TO THE  SECOND ATTENDANCE QUESTION IS
2/39


Q3. THE  THIRD ATTENDANCE QUESTION WAS
What is a wilf zeilberger pair?

A3. MY ANSWER TO THE  THIRD ATTENDANCE QUESTION IS
It is a pair of functions that can be used to certify certain combinatorial identities.


Q4. THE  FOURTH ATTENDANCE QUESTION WAS
What was Catalan's nationality?What is the constant named after him

A4. MY ANSWER TO THE  FOURTH ATTENDANCE QUESTION IS
French and Belgian
G = 0.915965594177219015054603514932384110774…


Q5. THE  FIFTH ATTENDANCE QUESTION WAS
Do the same for [1,1,-1,-1,1] and get the whole set

A5. MY ANSWER TO THE  FIFTH ATTENDANCE QUESTION IS
[-1, -1, 1, 1, 1], [-1, 1, 1, -1, 1], [-1, 1, 1, 1, -1], [1, -1, -1, 1, 1], [1, 1, 1, -1, -1]
[-1, -1, 1, 1, 1], [-1, 1, -1, 1, 1], [-1, 1, 1, -1, 1], [-1, 1, 1, 1, -1], [1, -1, -1, 1, 1], [1, -1, 1, -1, 1], [1, -1, 1, 1, -1], [1, 1, -1, -1, 1], [1, 1, -1, 1, -1], [1, 1, 1, -1, -1]


Q6. THE  SIXTH ATTENDANCE QUESTION WAS
Prove that there is a location such that you always have gas to continue

A6. MY ANSWER TO THE  SIXTH ATTENDANCE QUESTION IS
The location and amount of gas both add up to 1. First, let all locations where the amount of gas is greater than or equal to the distance to the next location be A. 
For the set of locations that have the amount of gas less than the distance to the next step denoted as B, we can sum up that the total distance > total gas which 
means for A total gas > total distance. Pick a random location in A and start, if the we cannot continue at the next location, it means for the rest locations the amount
of gas is greater than total distance left. By iterating over A, there is a location that allow us to always continue.