1 5/7: Functions on lists
Due: 5/7, midnight by email to dvanhorn.
Language: any.
You must complete this assignment individually and should not discuss solutions with anyone but the course staff.
1.1 Designing functions on lists of numbers
Design the following programs:
sum  sums a list of numbers.
sumsqrs  sums the squares of a list of numbers.
interleave  from two lists of equal length, produces a single list of interleaved elements. For example, if given 1, 2, 3 and 4, 5, 6, it produces 1, 4, 2, 5, 3, 6.
closesttofour  find the number closest to 4 in a given nonempty list of numbers.
argzero  given a function on numbers and a nonempty list of numbers, produce an element of the list for which the function gives a result closest to 0 when applied to that element. In other words, if given function f and list x_0, x_1, ..., x_n, then argzero should produce x_i (for some i in 0..n) where f(x_i) is as close to zero as any f(x_j), for all j in 0..n.
You may use any programming language you’d like, but your programs must be welldesigned according to the design recipe.
1.2 Submissions
This is the only assignment that will be submitted via email. Please send an email with the following form:
Subject: 2510 Assignment 1 CCISusername 

CCISusername 
Full name 

Attach: source code 
where CCISusername is your CCIS username. If you do not have a CCIS username or do not know what it is, please see the Systems group on the third floor of WVH immediately. Your source code should include your full name and CCIS username as well.