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In computer science, divide and conquer is an algorithm design paradigm. A divide-and-conquer algorithm recursively breaks down a problem into two or more sub-problems of the same or related type, until these become simple enough to be solved directly. The solutions to the sub-problems are then combined to give a solution to the original problem.
Divide and rule (Latin: divide et impera), or divide and conquer, in politics refers to an entity gaining and maintaining political power by using divisive measures. This includes the exploitation of existing divisions within a political group by its political opponents, and also the deliberate creation or strengthening of such divisions.
It is a specific type of divide and conquer algorithm. A well-known example is binary search. [3] Abstractly, a dichotomic search can be viewed as following edges of an implicit binary tree structure until it reaches a leaf (a goal or final state).
Similar to divide and conquer; Denial – A strategy that seeks to destroy the enemy's ability to wage war; Distraction – An attack by some of the force on one or two flanks, drawing up to a strong frontal attack by the rest of the force; Encirclement – Both a strategy and tactic designed to isolate and surround enemy forces
Merge sort parallelizes well due to the use of the divide-and-conquer method. Several different parallel variants of the algorithm have been developed over the years. Some parallel merge sort algorithms are strongly related to the sequential top-down merge algorithm while others have a different general structure and use the K-way merge method
Defeat in detail, or divide and conquer, is a military tactic of bringing a large portion of one's own force to bear on small enemy units in sequence, rather than engaging the bulk of the enemy force all at once. This exposes one's own units to many small risks but allows for the eventual destruction of an entire enemy force.
The basic principle of Karatsuba's algorithm is divide-and-conquer, using a formula that allows one to compute the product of two large numbers and using three multiplications of smaller numbers, each with about half as many digits as or , plus some additions and digit shifts.
The Akra–Bazzi method is more useful than most other techniques for determining asymptotic behavior because it covers such a wide variety of cases. Its primary application is the approximation of the running time of many divide-and-conquer algorithms.