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  2. Rope (data structure) - Wikipedia

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

    The second case reduces to the first by splitting the string at the split point to create two new leaf nodes, then creating a new node that is the parent of the two component strings. For example, to split the 22-character rope pictured in Figure 2.3 into two equal component ropes of length 11, query the 12th character to locate the node K at ...

  3. Divide-and-conquer algorithm - Wikipedia

    en.wikipedia.org/wiki/Divide-and-conquer_algorithm

    For example, one can add N numbers either by a simple loop that adds each datum to a single variable, or by a D&C algorithm called pairwise summation that breaks the data set into two halves, recursively computes the sum of each half, and then adds the two sums. While the second method performs the same number of additions as the first and pays ...

  4. Merge algorithm - Wikipedia

    en.wikipedia.org/wiki/Merge_algorithm

    In the worst case, the maximum number of elements in one of the recursive calls is at most since the array with more elements is perfectly split in half. Adding the Θ ( log ⁡ ( n ) ) {\displaystyle \Theta \left(\log(n)\right)} cost of the Binary Search, we obtain this recurrence as an upper bound:

  5. Set (abstract data type) - Wikipedia

    en.wikipedia.org/wiki/Set_(abstract_data_type)

    Python has built-in set and frozenset types since 2.4, and since Python 3.0 and 2.7, supports non-empty set literals using a curly-bracket syntax, e.g.: {x, y, z}; empty sets must be created using set(), because Python uses {} to represent the empty dictionary.

  6. Set splitting problem - Wikipedia

    en.wikipedia.org/wiki/Set_splitting_problem

    In computational complexity theory, the set splitting problem is the following decision problem: given a family F of subsets of a finite set S, decide whether there exists a partition of S into two subsets S 1, S 2 such that all elements of F are split by this partition, i.e., none of the elements of F is completely in S 1 or S 2.

  7. Bitonic sorter - Wikipedia

    en.wikipedia.org/wiki/Bitonic_sorter

    Bitonic mergesort is a parallel algorithm for sorting. It is also used as a construction method for building a sorting network.The algorithm was devised by Ken Batcher.The resulting sorting networks consist of (⁡ ()) comparators and have a delay of (⁡ ()), where is the number of items to be sorted. [1]

  8. Foreach loop - Wikipedia

    en.wikipedia.org/wiki/Foreach_loop

    In Raku, a sister language to Perl, for must be used to traverse elements of a list (foreach is not allowed). The expression which denotes the collection to loop over is evaluated in list-context, but not flattened by default, and each item of the resulting list is, in turn, aliased to the loop variable(s). List literal example:

  9. 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.