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  2. Van Emde Boas tree - Wikipedia

    en.wikipedia.org/wiki/Van_Emde_Boas_tree

    The second-smallest value y is T.children[T.aux.min].min, so it can be found in O(1) time. We delete y from the subtree that contains it. If x≠T.min and x≠T.max then we delete x from the subtree T.children[i] that contains x. If x == T.max then we will need to find the second-largest value y in the vEB tree and set T.max=y. We start by ...

  3. Range minimum query - Wikipedia

    en.wikipedia.org/wiki/Range_minimum_query

    Range minimum query reduced to the lowest common ancestor problem.. Given an array A[1 … n] of n objects taken from a totally ordered set, such as integers, the range minimum query RMQ A (l,r) =arg min A[k] (with 1 ≤ l ≤ k ≤ r ≤ n) returns the position of the minimal element in the specified sub-array A[l …

  4. 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 ...

  5. 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.

  6. Dutch national flag problem - Wikipedia

    en.wikipedia.org/wiki/Dutch_national_flag_problem

    The problem is then to produce an array such that all "bottom" elements come before (have an index less than the index of) all "middle" elements, which come before all "top" elements. One algorithm is to have the top group grow down from the top of the array, the bottom group grow up from the bottom, and keep the middle group just above the ...

  7. Predecessor problem - Wikipedia

    en.wikipedia.org/wiki/Predecessor_problem

    predecessor(x), which returns the largest element in S strictly smaller than x; successor(x), which returns the smallest element in S strictly greater than x; In addition, data structures which solve the dynamic version of the problem also support these operations: insert(x), which adds x to the set S; delete(x), which removes x from the set S

  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. 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.