Maria plays college basketball and wants to go pro. Each season she maintains a record of her play. She tabulates the number of times she breaks her season record for most points and least points in a game. Points scored in the first game establish her record for the season, and she begins counting from there.

For example, assume her scores for the season are represented in the array scores = [12, 24, 10, 24]. Scores are in the same order as the games played. She would tabulate her results as follows:

You will be given two arrays of integers and asked to determine all integers that satisfy the following two conditions:

1. The elements of the first array are all factors of the integer being considered
2. The integer being considered is a factor of all elements of the second array

These numbers are referred to as being between the two arrays. You must determine how many such numbers exist.

For example, given the arrays a = [2, 6] and b = [24, 36], there are two numbers between them: 6 and 12. 6 % 2 = 0, 6 % 6 = 0, 24 % 6 = 0 and 36 % 6 = 0 for the first value. Similarly, 12 % 2 = 0, 12 % 6 = 0 and 24 % 12 = 0, 36 % 12 = 0.

You are choreographing a circus show with various animals. For one act, you are given two kangaroos on a number line ready to jump in the positive direction (i.e, toward positive infinity).

• The first kangaroo starts at location x1 and moves at a rate of v1 meters per jump.
• The second kangaroo starts at location x2 and moves at a rate of v2 meters per jump.

You have to figure out a way to get both kangaroos at the same location at the same time as part of the show. If it is possible, return YES, otherwise return NO.

For example, kangaroo 1 starts at x1 = 2 with a jump distance v1 =1 and kangaroo 2 starts at x2 = 1 with a jump distance of v2 = 2. After one jump, they are both at x = 3, (x1 + v1 = 2, x2 + v2 = 1 + 2), so our answer is YES.

Sam’s house has an apple tree and an orange tree that yield an abundance of fruit. In the diagram below, the red region denotes his house, where s is the start point, and t is the endpoint.
The apple tree is to the left of his house, and the orange tree is to its right.
You can assume the trees are located on a single point, where the apple tree is at point a, and the orange tree is at point b.

HackerLand University has the following grading policy:

• Every student receives a grade in the inclusive range from 0 to 100.
• Any grade less than 40 is a failing grade.
  Sam is a professor at the university and likes to round each student’s grade according to these rules: