write an efficient algo to compute no. of sequences of n binary digits that do not contain 2 1's in a row. eg 1100001 is invalid whereas 1001001 is valid.
HERE the number of sequences comes to be a fibonacci number , precisely fib(n+2). So this prob is equivalent to finding fibonacci numbers -------------------------------------------------- Rohit Saraf Second Year Undergraduate, Dept. of Computer Science and Engineering IIT Bombay http://www.cse.iitb.ac.in/~rohitfeb14 On Thu, Jun 10, 2010 at 11:47 AM, Sundeep Singh <[email protected]>wrote: > @rohit: fibonacci sequence may be the answer to the prob, but I am curious > why? I haven't come across any such fib sequence property... > > On Wed, Jun 9, 2010 at 9:16 PM, Rohit Saraf > <[email protected]>wrote: > >> @junta : are fibonacci sequence is the answer of the prob, it is not used >> :D >> >> -------------------------------------------------- >> Rohit Saraf >> Second Year Undergraduate, >> Dept. of Computer Science and Engineering >> IIT Bombay >> http://www.cse.iitb.ac.in/~rohitfeb14<http://www.cse.iitb.ac.in/%7Erohitfeb14> >> >> >> On Wed, Jun 9, 2010 at 9:13 PM, Rohit Saraf >> <[email protected]>wrote: >> >>> @debajyoti: read the prob before posting >>> >>> -------------------------------------------------- >>> Rohit Saraf >>> Second Year Undergraduate, >>> Dept. of Computer Science and Engineering >>> IIT Bombay >>> http://www.cse.iitb.ac.in/~rohitfeb14<http://www.cse.iitb.ac.in/%7Erohitfeb14> >>> >>> >>> On Wed, Jun 9, 2010 at 2:37 PM, Debajyoti Sarma < >>> [email protected]> wrote: >>> >>>> First 20 fibo no as follows with binary form >>>> 0 = 0 >>>> 1 = 1 >>>> 1 = 1 >>>> 2 = 10 >>>> 3 = 11 >>>> 5 = 101 >>>> 8 = 1000 >>>> 13 = 1101 >>>> 21 = 10101 >>>> 34 = 100010 >>>> 55 = 110111 >>>> 89 = 1011001 >>>> 144 = 10010000 >>>> 233 = 11101001 >>>> 377 = 101111001 >>>> 610 = 1001100010 >>>> 987 = 1111011011 >>>> 1597 = 11000111101 >>>> 2584 = 101000011000 >>>> 4181 = 1000001010101 >>>> >>>> Now please explain how fibo no is coming under consideration.Both kind >>>> of no is mixed here. >>>> >>>> On Wed, Jun 9, 2010 at 8:02 AM, Rohit Saraf < >>>> [email protected]> wrote: >>>> >>>>> Fib comes because she wants the number of such sequences >>>>> >>>>> -- >>>>> -------------------------------------------------- >>>>> Rohit Saraf >>>>> Second Year Undergraduate, >>>>> Dept. of Computer Science and Engineering >>>>> IIT Bombay >>>>> http://www.cse.iitb.ac.in/~rohitfeb14<http://www.cse.iitb.ac.in/%7Erohitfeb14> >>>>> >>>>> -- >>>>> >>>>> You received this message because you are subscribed to the Google >>>>> Groups "Algorithm Geeks" group. >>>>> To post to this group, send email to [email protected]. >>>>> To unsubscribe from this group, send email to >>>>> [email protected]<algogeeks%[email protected]> >>>>> . >>>>> For more options, visit this group at >>>>> http://groups.google.com/group/algogeeks?hl=en. >>>>> >>>>> >>>> -- >>>> You received this message because you are subscribed to the Google >>>> Groups "Algorithm Geeks" group. >>>> To post to this group, send email to [email protected]. >>>> To unsubscribe from this group, send email to >>>> [email protected]<algogeeks%[email protected]> >>>> . >>>> For more options, visit this group at >>>> http://groups.google.com/group/algogeeks?hl=en. >>>> >>> >>> >> -- >> You received this message because you are subscribed to the Google Groups >> "Algorithm Geeks" group. >> To post to this group, send email to [email protected]. >> To unsubscribe from this group, send email to >> [email protected]<algogeeks%[email protected]> >> . >> For more options, visit this group at >> http://groups.google.com/group/algogeeks?hl=en. >> > > -- > You received this message because you are subscribed to the Google Groups > "Algorithm Geeks" group. > To post to this group, send email to [email protected]. > To unsubscribe from this group, send email to > [email protected]<algogeeks%[email protected]> > . > For more options, visit this group at > http://groups.google.com/group/algogeeks?hl=en. > -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to [email protected]. To unsubscribe from this group, send email to [email protected]. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
