Re: [algogeeks] Re: Difference b/w two elements in a array
I have one more question here , suppose we have some dynamic array
( of const size ) where insertions and removal is happening
dynamically ---
you want the 2 elements from the array having least difference. Design
a data structure for this. Less than O(n) solution appreciated.
i have a nlogn solution for it... as the insertion and deletion is happening
dynamically... thinkin of O(n) is ...a bit tedious i think
On Jul 14, 9:27 am, Ashish Goel ashg...@gmail.com wrote:
count sort and then find mindiff
fot (int i=1;in;i++)
if (a[i]-a[i-1] mindiff) { mindiff =a[i]-a[i-1]; ele1=a[i-1];
ele2=a[i];}
Best Regards
Ashish Goel
Think positive and find fuel in failure
+919985813081
+919966006652
On Tue, Jul 13, 2010 at 2:47 PM, Tech Id tech.login@gmail.com
wrote:
Construct a BST for the array - O(nlogn)
Traverse the tree and find a node which has
minimum difference with either its left or
right child in whole of the tree.
(Because the required numbers have to be
adjacent to each other in a sorted array). - O(n)
= Total order:O(nlogn)
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[algogeeks] Re: Difference b/w two elements in a array
Thanks Amit and srikanth for pointing that out. I should have done
some analysis before posting this solution.
we can do this problem in 2 steps:
find-min-diff(arr a)
{
sort(a)
find(a, 0, min=INF, i=0, j=0)
return {min, i, j}
}
find(a, index, min, i, j)
{
if(a[index+1] - a[index] min){
min = a[index+1] - a[index];
i= index, j= index+1
}
find(a, index+1, min, i, j)
}
run time -- sorting time + O(n)
space-- sorting complexity + O(1)
Let us discuss if we can do it without sorting the array elements.
I have one more question here , suppose we have some dynamic array
( of const size ) where insertions and removal is happening
dynamically ---
you want the 2 elements from the array having least difference. Design
a data structure for this. Less than O(n) solution appreciated.
On Jul 14, 9:27 am, Ashish Goel ashg...@gmail.com wrote:
count sort and then find mindiff
fot (int i=1;in;i++)
if (a[i]-a[i-1] mindiff) { mindiff =a[i]-a[i-1]; ele1=a[i-1]; ele2=a[i];}
Best Regards
Ashish Goel
Think positive and find fuel in failure
+919985813081
+919966006652
On Tue, Jul 13, 2010 at 2:47 PM, Tech Id tech.login@gmail.com wrote:
Construct a BST for the array - O(nlogn)
Traverse the tree and find a node which has
minimum difference with either its left or
right child in whole of the tree.
(Because the required numbers have to be
adjacent to each other in a sorted array). - O(n)
= Total order:O(nlogn)
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Re: [algogeeks] Re: Difference b/w two elements in a array
Vikas, Consider the following case 2 5 16 17 20 25; Neither two max nor two min will give the minimum difference. On Tue, Jul 13, 2010 at 9:52 AM, vikas kumar vikas.kumar...@gmail.comwrote: I did not get your point. for 2 6 3 7 min 2 sec min 3 difference is 1 answer is 2 and 3 what more is asked?? On Jul 12, 2:21 pm, srikanth sg srikanthini...@gmail.com wrote: 2 6 3 7 check for this On Mon, Jul 12, 2010 at 12:46 AM, vikas kumar vikas.kumar...@gmail.com wrote: traverse array with 2 elements keeping track of 2 min elements. time O(n) space O(1) On Jul 11, 9:34 pm, Amit Jaspal amitjaspal...@gmail.com wrote: Constraint - O(n) On Sun, Jul 11, 2010 at 9:24 AM, amit amitjaspal...@gmail.com wrote: Given an array of size n.find 2 numbers from array whose difference is least. -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com algogeeks%2bunsubscr...@googlegroups.comalgogeeks%252bunsubscr...@googlegroups.com algogeeks%2bunsubscr...@googlegroups.comalgogeeks%252bunsubscr...@googlegroups.com algogeeks%252bunsubscr...@googlegroups.comalgogeeks%25252bunsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- Amit Jaspal Btech IT IIIT- Allahabad -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com algogeeks%2bunsubscr...@googlegroups.comalgogeeks%252bunsubscr...@googlegroups.com . 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 algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . 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 algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
[algogeeks] Re: Difference b/w two elements in a array
Construct a BST for the array - O(nlogn) Traverse the tree and find a node which has minimum difference with either its left or right child in whole of the tree. (Because the required numbers have to be adjacent to each other in a sorted array). - O(n) = Total order:O(nlogn) -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
Re: [algogeeks] Re: Difference b/w two elements in a array
count sort and then find mindiff
fot (int i=1;in;i++)
if (a[i]-a[i-1] mindiff) { mindiff =a[i]-a[i-1]; ele1=a[i-1]; ele2=a[i];}
Best Regards
Ashish Goel
Think positive and find fuel in failure
+919985813081
+919966006652
On Tue, Jul 13, 2010 at 2:47 PM, Tech Id tech.login@gmail.com wrote:
Construct a BST for the array - O(nlogn)
Traverse the tree and find a node which has
minimum difference with either its left or
right child in whole of the tree.
(Because the required numbers have to be
adjacent to each other in a sorted array). - O(n)
= Total order:O(nlogn)
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[algogeeks] Re: Difference b/w two elements in a array
traverse array with 2 elements keeping track of 2 min elements. time O(n) space O(1) On Jul 11, 9:34 pm, Amit Jaspal amitjaspal...@gmail.com wrote: Constraint - O(n) On Sun, Jul 11, 2010 at 9:24 AM, amit amitjaspal...@gmail.com wrote: Given an array of size n.find 2 numbers from array whose difference is least. -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- Amit Jaspal Btech IT IIIT- Allahabad -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
[algogeeks] Re: Difference b/w two elements in a array
traverse array with 2 elements keeping track of 2 min elements. time O(n) space O(1) On Jul 11, 9:34 pm, Amit Jaspal amitjaspal...@gmail.com wrote: Constraint - O(n) On Sun, Jul 11, 2010 at 9:24 AM, amit amitjaspal...@gmail.com wrote: Given an array of size n.find 2 numbers from array whose difference is least. -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- Amit Jaspal Btech IT IIIT- Allahabad -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
Re: [algogeeks] Re: Difference b/w two elements in a array
2 6 3 7 check for this On Mon, Jul 12, 2010 at 12:46 AM, vikas kumar vikas.kumar...@gmail.comwrote: traverse array with 2 elements keeping track of 2 min elements. time O(n) space O(1) On Jul 11, 9:34 pm, Amit Jaspal amitjaspal...@gmail.com wrote: Constraint - O(n) On Sun, Jul 11, 2010 at 9:24 AM, amit amitjaspal...@gmail.com wrote: Given an array of size n.find 2 numbers from array whose difference is least. -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com algogeeks%2bunsubscr...@googlegroups.comalgogeeks%252bunsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- Amit Jaspal Btech IT IIIT- Allahabad -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . 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 algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
Re: [algogeeks] Re: Difference b/w two elements in a array
order nlogn is trivial .. any thing better ?? On Mon, Jul 12, 2010 at 2:51 PM, srikanth sg srikanthini...@gmail.comwrote: 2 6 3 7 check for this On Mon, Jul 12, 2010 at 12:46 AM, vikas kumar vikas.kumar...@gmail.comwrote: traverse array with 2 elements keeping track of 2 min elements. time O(n) space O(1) On Jul 11, 9:34 pm, Amit Jaspal amitjaspal...@gmail.com wrote: Constraint - O(n) On Sun, Jul 11, 2010 at 9:24 AM, amit amitjaspal...@gmail.com wrote: Given an array of size n.find 2 numbers from array whose difference is least. -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com algogeeks%2bunsubscr...@googlegroups.comalgogeeks%252bunsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- Amit Jaspal Btech IT IIIT- Allahabad -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . 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 algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- With Regards Ankur Aggarwal -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
Re: [algogeeks] Re: Difference b/w two elements in a array
you can find both the smallest and the second smallest number ... Anil On Mon, Jul 12, 2010 at 3:21 PM, ankur aggarwal ankur.mast@gmail.comwrote: order nlogn is trivial .. any thing better ?? On Mon, Jul 12, 2010 at 2:51 PM, srikanth sg srikanthini...@gmail.comwrote: 2 6 3 7 check for this On Mon, Jul 12, 2010 at 12:46 AM, vikas kumar vikas.kumar...@gmail.comwrote: traverse array with 2 elements keeping track of 2 min elements. time O(n) space O(1) On Jul 11, 9:34 pm, Amit Jaspal amitjaspal...@gmail.com wrote: Constraint - O(n) On Sun, Jul 11, 2010 at 9:24 AM, amit amitjaspal...@gmail.com wrote: Given an array of size n.find 2 numbers from array whose difference is least. -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com algogeeks%2bunsubscr...@googlegroups.comalgogeeks%252bunsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- Amit Jaspal Btech IT IIIT- Allahabad -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . 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 algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- With Regards Ankur Aggarwal -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . 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 algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
Re: [algogeeks] Re: Difference b/w two elements in a array
oh never mind that was wrong... :P Anil On Mon, Jul 12, 2010 at 5:03 PM, Anil C R cr.a...@gmail.com wrote: you can find both the smallest and the second smallest number ... Anil On Mon, Jul 12, 2010 at 3:21 PM, ankur aggarwal ankur.mast@gmail.comwrote: order nlogn is trivial .. any thing better ?? On Mon, Jul 12, 2010 at 2:51 PM, srikanth sg srikanthini...@gmail.comwrote: 2 6 3 7 check for this On Mon, Jul 12, 2010 at 12:46 AM, vikas kumar vikas.kumar...@gmail.comwrote: traverse array with 2 elements keeping track of 2 min elements. time O(n) space O(1) On Jul 11, 9:34 pm, Amit Jaspal amitjaspal...@gmail.com wrote: Constraint - O(n) On Sun, Jul 11, 2010 at 9:24 AM, amit amitjaspal...@gmail.com wrote: Given an array of size n.find 2 numbers from array whose difference is least. -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com algogeeks%2bunsubscr...@googlegroups.comalgogeeks%252bunsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- Amit Jaspal Btech IT IIIT- Allahabad -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . 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 algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- With Regards Ankur Aggarwal -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . 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 algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
[algogeeks] Re: Difference b/w two elements in a array
This problem cannot be solved in less than O(nlgn) time with O(1) space. The Element Distinctness Problem has a proven lower bound of Omega(nlgn). If the least difference problem could be solved in O(n) then we can reduce the ED Problem to Least Difference problem and solve it in O(n) time. This contradicts the lower bound. http://en.wikipedia.org/wiki/Element_distinctness_problem We can use extra space do counting sort but even that will not be O(size of array) but actually O(max value in the array). On Jul 12, 5:51 am, ankur aggarwal ankur.mast@gmail.com wrote: order nlogn is trivial .. any thing better ?? On Mon, Jul 12, 2010 at 2:51 PM, srikanth sg srikanthini...@gmail.comwrote: 2 6 3 7 check for this On Mon, Jul 12, 2010 at 12:46 AM, vikas kumar vikas.kumar...@gmail.comwrote: traverse array with 2 elements keeping track of 2 min elements. time O(n) space O(1) On Jul 11, 9:34 pm, Amit Jaspal amitjaspal...@gmail.com wrote: Constraint - O(n) On Sun, Jul 11, 2010 at 9:24 AM, amit amitjaspal...@gmail.com wrote: Given an array of size n.find 2 numbers from array whose difference is least. -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com algogeeks%2bunsubscr...@googlegroups.comalgogeeks%252bunsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- Amit Jaspal Btech IT IIIT- Allahabad -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . 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 algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- With Regards Ankur Aggarwal -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
[algogeeks] Re: Difference b/w two elements in a array
I did not get your point. for 2 6 3 7 min 2 sec min 3 difference is 1 answer is 2 and 3 what more is asked?? On Jul 12, 2:21 pm, srikanth sg srikanthini...@gmail.com wrote: 2 6 3 7 check for this On Mon, Jul 12, 2010 at 12:46 AM, vikas kumar vikas.kumar...@gmail.comwrote: traverse array with 2 elements keeping track of 2 min elements. time O(n) space O(1) On Jul 11, 9:34 pm, Amit Jaspal amitjaspal...@gmail.com wrote: Constraint - O(n) On Sun, Jul 11, 2010 at 9:24 AM, amit amitjaspal...@gmail.com wrote: Given an array of size n.find 2 numbers from array whose difference is least. -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com algogeeks%2bunsubscr...@googlegroups.comalgogeeks%252bunsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- Amit Jaspal Btech IT IIIT- Allahabad -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.comalgogeeks%2bunsubscr...@googlegroups.com . 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 algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
