On 03/10/15 09:23, Anshu Kumar wrote:
Hi Alan,

I have given a wrong example of 16 . I am sorry for it. You are correct it will take only 4 turns.

If i consider your solution for number 10

it will go like this 10-->10/2 =5 --> 5-1=4--> 4/2 =2-->2/2 =1 which gives 4 as output but answer would be in 3 steps 10-->10-1=9-->9/3=3-->3/3=1

So we must consider every path /3, /2 and -1 and try to find out shortest one

Ah, OK I see.

Here is my modified version which I think works as you want:

def findMinDepthPath(n):
    if n <= 0: raise ValueError
    elif n==1:
        return 0
    elif n==2 or n==3:
        return 1
    else:
        d1 = findMinDepthPath(n-1)+1
        d2 = d3 = (d1+1) # initialize to higher than d1

    if n%3 == 0:
        d3 = findMinDepthPath(n/3)+1
    if n%2 == 0:
        d2 = findMinDepthPath(n/2)+1

    return min(d1,d2,d3)


n = int(raw_input('N? '))
print "Minimum depth = ", findMinDepthPath(n),'\n'

>I know list and sets can be used do we have any other data structure in python
> which would be mutable and not a sequence?

You could use a dictionary but that is also a type of sequence...

So a class is the obvious non-sequential candidate.

class Store:
    def __init__(self, value = 0):
        self.value = value

You can then pass an instance of the class and modify its value.

--
Alan G
Author of the Learn to Program web site
http://www.alan-g.me.uk/
http://www.amazon.com/author/alan_gauld
Follow my photo-blog on Flickr at:
http://www.flickr.com/photos/alangauldphotos
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