Search results
Results From The WOW.Com Content Network
Thus, a problem on elements is reduced to two recursive problems on / elements (to find the pivot) and at most / elements (after the pivot is used). The total size of these two recursive subproblems is at most 9 n / 10 {\displaystyle 9n/10} , allowing the total time to be analyzed as a geometric series adding to O ( n ) {\displaystyle O(n)} .
This requires three comparisons per two items (a pair of elements is compared, then the greater is compared to the maximum and the lesser is compared to the minimum) rather than regular selection sort's one comparison per item, but requires only half as many passes, a net 25% savings.
Maximum subarray problems arise in many fields, such as genomic sequence analysis and computer vision.. Genomic sequence analysis employs maximum subarray algorithms to identify important biological segments of protein sequences that have unusual properties, by assigning scores to points within the sequence that are positive when a motif to be recognized is present, and negative when it is not ...
Swap the first element of the array (the largest element in the heap) with the final element of the heap. Decrease the considered range of the heap by one. Call the siftDown() function on the array to move the new first element to its correct place in the heap. Go back to step (2) until the remaining array is a single element.
Bubble sort, sometimes referred to as sinking sort, is a simple sorting algorithm that repeatedly steps through the input list element by element, comparing the current element with the one after it, swapping their values if needed. These passes through the list are repeated until no swaps have to be performed during a pass, meaning that the ...
Algorithm LargestNumber Input: A list of numbers L. Output: The largest number in the list L. if L.size = 0 return null largest ← L[0] for each item in L, do if item > largest, then largest ← item return largest "←" denotes assignment. For instance, "largest ← item" means that the value of largest changes to the value of item.
Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!
It is possible to find the maximum clique, or the clique number, of an arbitrary n-vertex graph in time O (3 n/3) = O (1.4422 n) by using one of the algorithms described above to list all maximal cliques in the graph and returning the largest one. However, for this variant of the clique problem better worst-case time bounds are possible.