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  2. Cocktail shaker sort - Wikipedia

    en.wikipedia.org/wiki/Cocktail_shaker_sort

    The simplest form goes through the whole list each time: procedure cocktailShakerSort(A : list of sortable items) is do swapped := false for each i in 0 to length(A) − 1 do: if A[i] > A[i + 1] then // test whether the two elements are in the wrong order swap(A[i], A[i + 1]) // let the two elements change places swapped := true end if end for if not swapped then // we can exit the outer loop ...

  3. Subset sum problem - Wikipedia

    en.wikipedia.org/wiki/Subset_sum_problem

    Whenever the sum of the current element in the first array and the current element in the second array is more than T, the algorithm moves to the next element in the first array. If it is less than T, the algorithm moves to the next element in the second array. If two elements that sum to T are found, it stops. (The sub-problem for two elements ...

  4. Heapsort - Wikipedia

    en.wikipedia.org/wiki/Heapsort

    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.

  5. Heap (data structure) - Wikipedia

    en.wikipedia.org/wiki/Heap_(data_structure)

    The parent / child relationship is defined implicitly by the elements' indices in the array. Example of a complete binary max-heap with node keys being integers from 1 to 100 and how it would be stored in an array. For a binary heap, in the array, the first index contains the root element. The next two indices of the array contain the root's ...

  6. 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} .

  7. Binary heap - Wikipedia

    en.wikipedia.org/wiki/Binary_heap

    Removing the smallest or largest element from (respectively) a min-heap or max-heap. Binary heaps are also commonly employed in the heapsort sorting algorithm , which is an in-place algorithm because binary heaps can be implemented as an implicit data structure , storing keys in an array and using their relative positions within that array to ...

  8. Shellsort - Wikipedia

    en.wikipedia.org/wiki/Shellsort

    We then run through the list comparing each element in the first half to the element in the second half. Our second gap (k) is 256, which breaks the array into four sections (starting at 0, 256, 512, 768), and we make sure the first items in each section are sorted relative to each other, then the second item in each section, and so on. In ...

  9. Selection algorithm - Wikipedia

    en.wikipedia.org/wiki/Selection_algorithm

    As a baseline algorithm, selection of the th smallest value in a collection of values can be performed by the following two steps: . Sort the collection; If the output of the sorting algorithm is an array, retrieve its th element; otherwise, scan the sorted sequence to find the th element.