I want to have a function that will return the reverse of a list that it is given -- using recursion. How can I do that?
问题:
回答1:
Append the first element of the list to a reversed sublist:
mylist = [1, 2, 3, 4, 5]
backwards = lambda l: (backwards (l[1:]) + l[:1] if l else [])
print backwards (mylist)
回答2:
A bit more explicit:
def rev(l):
if len(l) == 0: return []
return [l[-1]] + rev(l[:-1])
This turns into:
def rev(l):
if not l: return []
return [l[-1]] + rev(l[:-1])
Which turns into:
def rev(l):
return [l[-1]] + rev(l[:-1]) if l else []
Which is the same as another answer.
Tail recursive / CPS style (which python doesn't optimize for anyway):
def rev(l, k):
if len(l) == 0: return k([])
def b(res):
return k([l[-1]] + res)
return rev(l[:-1],b)
>>> rev([1, 2, 3, 4, 5], lambda x: x)
[5, 4, 3, 2, 1]
回答3:
I know it's not a helpful answer (though this question has been already answered), but in any real code, please don't do that. Python cannot optimize tail-calls, has slow function calls and has a fixed recursion depth, so there are at least 3 reasons why to do it iteratively instead.
回答4:
The trick is to join after recursing:
def backwards(l): if not l: return x, y = l[0], l[1:] return backwards(y) + [x]
回答5:
This one reverses in place. (Of course an iterative version would be better, but it has to be recursive, hasn't it?)
def reverse(l, first=0, last=-1):
if first >= len(l)/2: return
l[first], l[last] = l[last], l[first]
reverse(l, first+1, last-1)
mylist = [1,2,3,4,5]
print mylist
reverse(mylist)
print mylist
回答6:
def reverse(q):
if len(q) != 0:
temp = q.pop(0)
reverse(q)
q.append(temp)
return q
回答7:
def revList(alist):
if len(alist) == 1:
return alist #base case
else:
return revList(alist[1:]) + [alist[0]]
print revList([1,2,3,4])
#prints [4,3,2,1]
回答8:
looks simpler:
def reverse (n):
if not n: return []
return [n.pop()]+reverse(n)
回答9:
Use the Divide & conquer strategy. D&C algorithms are recursive algorithms. To solve this problem using D&C, there are two steps:
- Figure out the base case. This should be the simplest possible case.
- Divide or decrease your problem until it becomes the base case.
Step 1: Figure out the base case. What’s the simplest list you could get? If you get an list with 0 or 1 element, that’s pretty easy to sum up.
if len(l) == 0: #base case
return []
Step 2: You need to move closer to an empty list with every recursive call
recursive(l) #recursion case
for example
l = [1,2,4,6]
def recursive(l):
if len(l) == 0:
return [] # base case
else:
return [l.pop()] + recursive(l) # recusrive case
print recursive(l)
>[6,4,2,1]
Source : Grokking Algorithms
回答10:
Take the first element, reverse the rest of the list recursively, and append the first element at the end of the list.
回答11:
def reverseList(listName,newList = None):
if newList == None:
newList = []
if len(listName)>0:
newList.append((listName.pop()))
return reverseList(listName, newList)
else:
return newList
print reverseList([1,2,3,4]) [4,3,2,1]
回答12:
Using Mutable default argument and recursion :
def hello(x,d=[]):
d.append(x[-1])
if len(x)<=1:
s="".join(d)
print(s)
else:
return hello(x[:-1])
hello("word")
additional info
x[-1] # last item in the array
x[-2:] # last two items in the array
x[:-2] # everything except the last two items
Recursion part is hello(x[:-1])
where its calling hello function again after x[:-1]
回答13:
Why not:
a = [1,2,3,4,5]
a = [a[i] for i in xrange(len(a)-1, -1, -1)] # now a is reversed!
回答14:
This will reverse a nested lists also!
A = [1, 2, [31, 32], 4, [51, [521, [12, 25, [4, 78, 45], 456, [444, 111]],522], 53], 6]
def reverseList(L):
# Empty list
if len(L) == 0:
return
# List with one element
if len(L) == 1:
# Check if that's a list
if isinstance(L[0], list):
return [reverseList(L[0])]
else:
return L
# List has more elements
else:
# Get the reversed version of first list as well as the first element
return reverseList(L[1:]) + reverseList(L[:1])
print A
print reverseList(A)
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