@ Dave : can u pls explain the solution u gave .
How can u say fibnocci sequence produces worst case ?

On Fri, Nov 16, 2012 at 11:15 AM, Shruti Gupta <fundooshr...@gmail.com>wrote:

> Don, thanks for the solution, Can u pls explain how a+b gets reduced by
> atleast 25%
>
>
> On Fri, Nov 16, 2012 at 3:42 AM, Don <dondod...@gmail.com> wrote:
>
>> Tail recursion is no different than a loop, so the complexity is the
>> same as an iterative solution like this:
>>
>> int gcd(int a, int b)  // For a<b
>> {
>>     while(1)
>>     {
>>         int c = a % b;
>>         if (!c) return b;
>>         a = b;
>>         b = c;
>>     }
>> }
>>
>> The complexity is log(a) + log(b) because each iteration reduces a+b
>> by at least 25%.
>>
>> Don
>>
>> On Nov 13, 5:04 am, Shruti Gupta <fundooshr...@gmail.com> wrote:
>> > hi
>> >
>> > Can anyone help me find out the time complexity of recursive gcd
>> algorithm
>> > (using euclid's algo)
>> > i.e. for the following program :
>> >
>> > int gcd(int n,int m) //given n>m
>> > {
>> >    if(n%m==0)
>> >        return m;
>> >    else
>> >         return gcd(m,n%m);
>> >
>> > }
>> >
>> > i think the soln is lg(a*b) but have no idea how..
>>
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