Write the following Python functions that take in a list of integers as a parameter.

A function that returns the most frequently occurring element in the list. If there is a tie, return the smallest such number.

a$.$ Examples: $[1,3,5,4,1,1]1,[5,3,5,4,4,1]4$

A function that returns the length of the longest sequence of the same number. It doesn't matter if there are ties.

a$.$ Examples: $[1,2,3,4,4,2,2,2]3,[1,2,3,4,5]1$