Recursive algorithms anyone?
Tim Peters
tim.one at home.com
Thu Jun 7 01:59:37 EDT 2001
[Kirby Urner]
> How to implement in Python the classic thing of
> adding k to every item in a list. Except a list
> may contain other lists to arbitary depth?
Something you'll probably never do in Python again <0.9 wink>.
> I say classic because it's the kind of thing you
> do in computer science 101.
>
> E.g. >>> additem(1,[1,2,[3,4,[5,6]],7])
> [2,3,[4,5,[6,7]],8]
>
> Here's the Scheme solution:
>
> (define (additem items k)
> (cond ((null? items) null)
> ((not (pair? items)) (+ items k))
> (else (cons (additem (car items) k)
> (additem (cdr items) k)))))
>
>
> My best Python attempt so far:
>
> >>> def additem(items, k):
> if not type(items) == type([]): return items + k
> if len(items)==0: return []
> return [additem(items[0],k)] + additem(items[1:],k)
>
> >>> additem([[9,8],1,2,3,4,[1,2, [5,6]]],1)
> [[10, 9], 2, 3, 4, 5, [2, 3, [6, 7]]]
>
> But maybe there's a better solution?
Depends on what's meant by "better". The Python there isn't idiomatic, as
the natural way to process sequences in Python is via a "for" loop, not
recursion. So 99 of 100 Pythonistas would first write something like this:
from types import ListType
def additem(items, k):
result = []
for x in items:
if type(x) is ListType:
result.append(additem(x, k))
else:
result.append(x + k)
return result
"for x in whatever" says "I'm marching over a list" in Python like "(cond
((null? whatever) ...) ((pair? whatever) ...) (else ...))" says "I'm
marching over a list" in Scheme. Get used to that, and the Python way puts
a lot less strain on your mental pattern-matcher <wink>.
Exercise: now write a version in each language that modifies the list *in
place* instead of constructing a new list. Define beforehand what the
desired outcome is for:
x = [1, 2]
y = [x, x]
additem(y, 42)
Then do it all over again picking "the other" answer <heh>.
teasingly y'rs - tim
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