Re: [algogeeks] Re: Sorting in O(n)

2012-05-08 Thread saurabh singh
what he wanted to say was that first digit would be m/n and second digit m%n Saurabh Singh B.Tech (Computer Science) MNNIT blog:geekinessthecoolway.blogspot.com On Tue, May 8, 2012 at 10:31 AM, atul anand atul.87fri...@gmail.com wrote: @arpit : your formula for converting base 10 to base n is

Re: [algogeeks] Re: Sorting in O(n)

2012-05-08 Thread Mahesh Thakur
I think if range is till n2, max passes for radix sort will be 3. by subtracting 1 to all the numbers we get the max range to n2-1 and radix sort can be done in 2 passes. but what will happen when if we have a '0' in array and then we subtract 1 to it? On Tue, May 8, 2012 at 9:48 AM, atul anand

Re: [algogeeks] Re: Sorting in O(n)

2012-05-08 Thread saurabh singh
Read the problem for constraints Saurabh Singh B.Tech (Computer Science) MNNIT blog:geekinessthecoolway.blogspot.com On Tue, May 8, 2012 at 11:12 AM, Mahesh Thakur tmahesh...@gmail.com wrote: I think if range is till n2, max passes for radix sort will be 3. by subtracting 1 to all the

Re: [algogeeks] Re: Sorting in O(n)

2012-05-07 Thread atul anand
@arpit : why algo subtracts 1 from each number of the input? On Sun, May 6, 2012 at 12:02 AM, Arpit Gupta arpitgupta.211...@gmail.comwrote: 1) Substract 1 from each no. 2) Now after substracting 1 from each no, convert it to base n. for example for n=6,the number 36 will be converted to 55.

Re: [algogeeks] Re: Sorting in O(n)

2012-05-07 Thread atul anand
@arpit : your formula for converting base 10 to base n is bit wrong , right formula should be :- let given base 10 no is m and we need to convert it in base n. then base n converted no is ( (m/n) * 10) + (m%n) ie 34 base 10 in base 6 is ((34/6)*10) + (34%6) ie 54 On Sun, May 6, 2012 at 10:20

Re: [algogeeks] Re: Sorting in O(n)

2012-05-06 Thread Arpit Gupta
O(1) base conversion can here be done as follows:-(works only when numbers are in range 0 to n^2-1) *From base 10 to base n *let given base 10 no is m and we need to convert it in base n. then base n converted no is (m/n)(m%n) ie 34 base 10 in base 6 is (34/6)(34%6) ie 54 Now i think you can

Re: [algogeeks] Re: Sorting in O(n)

2012-05-06 Thread saurabh singh
Yes thanx for that...Gene had already mentioned that in somewhat different way.And now I feel like a floppy disk for not being able to think the obvious. Saurabh Singh B.Tech (Computer Science) MNNIT blog:geekinessthecoolway.blogspot.com On Sun, May 6, 2012 at 10:20 PM, Arpit Gupta

[algogeeks] Re: Sorting in O(n)

2012-05-05 Thread shiv narayan
@jeevitesh yeah that may be right but it requires extra space as lot of space will be wasted... On May 5, 1:44 pm, Jeevitesh jeeviteshshekha...@gmail.com wrote: Hi all, I am new to this group. My last post was deleted i do not know the reason behind it. I will explain my logic here:- as

Re: [algogeeks] Re: Sorting in O(n)

2012-05-05 Thread Jeevitesh
Hi Shiva. You are right we will be wasting a lot of memory. But still it depends like if we have lot of numbers in the range of 1, n^2 present in the input array then this trade off is not bad. The issue here is we cannot otherwise sort it in O(n) time unless and until we have extra space. So we

Re: [algogeeks] Re: Sorting in O(n)

2012-05-05 Thread saurabh singh
I think I couldn't make myself clear... This line in your algorithm *After this just iterate through the aux array printing the index aux[i] times.* this makes your algorithm O(n^2) since the size of aux is n^2 and in the worst case the complete traversal of aux may be required. Saurabh Singh

Re: [algogeeks] Re: Sorting in O(n)

2012-05-05 Thread Arpit Gupta
1) Substract 1 from each no. 2) Now after substracting 1 from each no, convert it to base n. for example for n=6,the number 36 will be converted to 55. (36-1=35 and 35 when converted to base 6 is 55) 3) Thus all the nos in the range 1 to 6^2 can be mapped to numbers between 00 to 55. 4) Now

Re: [algogeeks] Re: Sorting in O(n)

2012-05-05 Thread saurabh singh
^ This is what I was talking about in my earlier post.But the problem is how\ to convert the base of each number in O(1) time ( and then reconvert to base 10 in O(n)) .I may be missing some trick here.Still working on it. Saurabh Singh B.Tech (Computer Science) MNNIT

[algogeeks] Re: Sorting in O(n)

2012-05-05 Thread Gene
Ah, but you can pick the radix to be n. Then at most 3 passes will always sort the array. O(3n) = O(n), so you are done. This topic has come up before. There is code at http://groups.google.com/group/algogeeks/msg/90ce2df194aba2d2 . It is true this code assumes math including mod takes

Re: [algogeeks] Re: Sorting in O(n)

2012-05-05 Thread saurabh singh
^ And this completes the solution Saurabh Singh B.Tech (Computer Science) MNNIT blog:geekinessthecoolway.blogspot.com On Sun, May 6, 2012 at 11:12 AM, Gene gene.ress...@gmail.com wrote: Ah, but you can pick the radix to be n. Then at most 3 passes will always sort the array. O(3n) =

[algogeeks] Re: Sorting in O(n)

2012-05-04 Thread Jeevi
You can use Radix Sort. It will have a Time Complexity of O(n). On Saturday, May 5, 2012 12:17:15 AM UTC+5:30, Algobiz wrote: How to sort n numbers in the range of 1 to n^2 in O(n).. Any ideas? -- You received this message because you are subscribed to the Google Groups Algorithm Geeks