Given array of integers A, create an 2-d array B of size n*2 such that B[i][0] = sum of all elements from A[0] to A[i], B[i][1] = i;Now sort array B based on B[i][0].. Now for each element B[i][0] ( till its smaller that equal to X), do a (modified) binary search for the closest value smaller than equal to (X - B[i][0]) in array B[i+1... n][0] , Say the found index after binary search is j ( which is > i).. Now if B[i][1] < B[j][1] then keep track of the max no. closest to X ( that is B[i][1] + B[j][1])... Complexity = N (to create array B) + N log N (to sort) + N log N ( to solve the problem) = O(n log n) On Nov 29, 7:13 pm, Mohit kumar lal <[email protected]> wrote: > here it is similar type of question i found on spoj ,it asks only for the > sum > > http://www.spoj.pl/problems/HOTELS/ > > but it is giving TLE in O(n^2).. > > On Tue, Nov 29, 2011 at 5:51 PM, Nitin Garg <[email protected]>wrote: > > > > > > > > > > > cant think of anything better than O(N^2). Are you sure there exists such > > algo? > > > On Tue, Nov 29, 2011 at 2:55 AM, Mohit kumar lal > > <[email protected]>wrote: > > >> Given a array of positive integers ,You have to find the largest sum > >> possible from consecutive sub-array but sum should be less than or equal to > >> K and also find that sub-array. Ex- array={2,1,3,4,5} k=12, > >> ans->12, sub-array={3,4,5} > > >> Firstly i tried with brute-force and then i also tried to solve it by DP > >> but complexity were same ( O(n^2)) ....so plz try to provide a solution for > >> O(nlgn) or O(n). > > >> -- > >> Mohit kumar lal > > >> 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 [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. > > > -- > > Nitin Garg > > > "Personality can open doors, but only Character can keep them open" > > > -- > > 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. > > -- > Mohit kumar lal > rit2009014 > IIIT ALLAHABAD > contact@9454681805 > [email protected] > [email protected] > [email protected]http://profile.iiita.ac.in/rit2009014
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