Part $1$: For the following problems you will be working with either vectors $($lists$),$ or matrices

$($lists of lists$).$ For each question, you should write a lambda function that does what the question

asks. Unless otherwise specified, you may not call other functions within your lambda expression.

There is no need to validate the input, you can assume the adequate data type will be provided.

$1.(1$ pt$)$ Write the lambda function vector$\_$plus$\_$one that takes in a list as a parameter and

returns a new list with every element increased by one.

$>>>$ vector$\_$plus$\_$one$([1,2,3])$

$[2,3,4]$

$2.(1$ pt$)$ Write the lambda function collatz$\_$steps that takes in a list as a parameter, and

returns a new list that has removed any non$-$integers and integers less than $1,$ and replaces

every positive integer left number with a step in the hailstone formulas. As a reminder:

$$ If a number is odd, it becomes $3*$ n $+1$

$$ If a number is even, it becomes n $//2$