Two important functions that convert pairlists to pairs of lists and vice versa are zip and unzip. implement a function zip that takes a pair xs#ys of two lists xs and ys (of the same length) and returns a pairlist, where the first field of each pair is taken from xs and the second from ys.

for example, {zip [a b c]#[1 2 3]} returns the pairlist [a#1 b#2 c#3].the function unzip does the inverse, for example {unzip [a#1 b#2 c#3]} returns [a b c]#[1 2 3]. give a specification and implementation of unzip. oz programming language