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  2. Merge algorithm - Wikipedia

    en.wikipedia.org/wiki/Merge_algorithm

    In the merge sort algorithm, this subroutine is typically used to merge two sub-arrays A[lo..mid], A[mid+1..hi] of a single array A. This can be done by copying the sub-arrays into a temporary array, then applying the merge algorithm above. [1] The allocation of a temporary array can be avoided, but at the expense of speed and programming ease.

  3. Disjoint-set data structure - Wikipedia

    en.wikipedia.org/wiki/Disjoint-set_data_structure

    In computer science, a disjoint-set data structure, also called a union–find data structure or merge–find set, is a data structure that stores a collection of disjoint (non-overlapping) sets. Equivalently, it stores a partition of a set into disjoint subsets .

  4. k-way merge algorithm - Wikipedia

    en.wikipedia.org/wiki/K-way_merge_algorithm

    It updates the nodes on the path from the updated leaf to the root (replacement selection). The removed element is the overall winner. Therefore, it has won each game on the path from the input array to the root. When selecting a new element from the input array, the element needs to compete against the previous losers on the path to the root.

  5. Merge sort - Wikipedia

    en.wikipedia.org/wiki/Merge_sort

    In computer science, merge sort (also commonly spelled as mergesort and as merge-sort [2]) is an efficient, general-purpose, and comparison-based sorting algorithm.Most implementations produce a stable sort, which means that the relative order of equal elements is the same in the input and output.

  6. Dynamic programming - Wikipedia

    en.wikipedia.org/wiki/Dynamic_programming

    This array records the path to any square s. The predecessor of s is modeled as an offset relative to the index (in q[i, j] ) of the precomputed path cost of s . To reconstruct the complete path, we lookup the predecessor of s , then the predecessor of that square, then the predecessor of that square, and so on recursively, until we reach the ...

  7. A* search algorithm - Wikipedia

    en.wikipedia.org/wiki/A*_search_algorithm

    // This is usually implemented as a min-heap or priority queue rather than a hash-set. openSet:= {start} // For node n, cameFrom[n] is the node immediately preceding it on the cheapest path from the start // to n currently known. cameFrom:= an empty map // For node n, gScore[n] is the currently known cost of the cheapest path from start to n ...

  8. List of algorithms - Wikipedia

    en.wikipedia.org/wiki/List_of_algorithms

    An algorithm is fundamentally a set of rules or defined procedures that is typically designed and used to solve a specific problem or a broad set of problems.. Broadly, algorithms define process(es), sets of rules, or methodologies that are to be followed in calculations, data processing, data mining, pattern recognition, automated reasoning or other problem-solving operations.

  9. Pathfinding - Wikipedia

    en.wikipedia.org/wiki/Pathfinding

    On the high-level layer, the path between the clusters is planned. After the plan was found, a second path is planned within a cluster on the lower level. [9] That means, the planning is done in two steps which is a guided local search in the original space. The advantage is that the number of nodes is smaller and the algorithm performs very ...