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  2. Double-ended priority queue - Wikipedia

    en.wikipedia.org/wiki/Double-ended_priority_queue

    The elements in the DEPQ will eventually be the middle group (pivot) of elements. Read in the remaining elements. If the next element is ≤ the smallest element in the DEPQ, output this next element as part of the left group. If the next element is ≥ the largest element in the DEPQ, output this next element as part of the right group.

  3. Maximum subarray problem - Wikipedia

    en.wikipedia.org/wiki/Maximum_subarray_problem

    For example, for the array of values [−2, 1, −3, 4, −1, 2, 1, −5, 4], the contiguous subarray with the largest sum is [4, −1, 2, 1], with sum 6. Some properties of this problem are: If the array contains all non-negative numbers, then the problem is trivial; a maximum subarray is the entire array.

  4. Longest increasing subsequence - Wikipedia

    en.wikipedia.org/wiki/Longest_increasing_subsequence

    The longest increasing subsequence has also been studied in the setting of online algorithms, in which the elements of a sequence of independent random variables with continuous distribution – or alternatively the elements of a random permutation – are presented one at a time to an algorithm that must decide whether to include or exclude ...

  5. Min-max heap - Wikipedia

    en.wikipedia.org/wiki/Min-max_heap

    One of the two elements in the second level, which is a max (or odd) level, is the greatest element in the min-max heap Let x {\displaystyle x} be any node in a min-max heap. If x {\displaystyle x} is on a min (or even) level, then x . k e y {\displaystyle x.key} is the minimum key among all keys in the subtree with root x {\displaystyle x} .

  6. Heapsort - Wikipedia

    en.wikipedia.org/wiki/Heapsort

    In the second phase, the heap is converted to a sorted array by repeatedly removing the largest element from the heap (the root of the heap), and placing it at the end of the array. The heap is updated after each removal to maintain the heap property. Once all objects have been removed from the heap, the result is a sorted array.

  7. Subset sum problem - Wikipedia

    en.wikipedia.org/wiki/Subset_sum_problem

    Given the two sorted lists, the algorithm can check if an element of the first array and an element of the second array sum up to T in time (/). To do that, the algorithm passes through the first array in decreasing order (starting at the largest element) and the second array in increasing order (starting at the smallest element).

  8. Selection sort - Wikipedia

    en.wikipedia.org/wiki/Selection_sort

    In computer science, selection sort is an in-place comparison sorting algorithm.It has a O(n 2) time complexity, which makes it inefficient on large lists, and generally performs worse than the similar insertion sort.

  9. Boyer–Moore majority vote algorithm - Wikipedia

    en.wikipedia.org/wiki/Boyer–Moore_majority_vote...

    In its simplest form, the algorithm finds a majority element, if there is one: that is, an element that occurs repeatedly for more than half of the elements of the input. A version of the algorithm that makes a second pass through the data can be used to verify that the element found in the first pass really is a majority. [1]