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Divide and rule (Latin: divide et impera), or more commonly known as 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 ...
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.
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.
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
"Divide and Conquer" (Teen Titans), 2003 "Divide and Conquer" (Teenage Mutant Ninja Turtles episode), 1996 "Divide and Conquer" (Transformers episode), 1984 "Divide and Conquer" (Yu-Gi-Oh! Capsule Monsters episode), 2006 "Divide and Conquer", an episode of Gangland, 2009 "Divide" and "Conquer", two episodes of Star vs. the Forces of Evil, 2018
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The closed form follows from the master theorem for divide-and-conquer recurrences. The number of comparisons made by merge sort in the worst case is given by the sorting numbers . These numbers are equal to or slightly smaller than ( n ⌈ lg n ⌉ − 2 ⌈lg n ⌉ + 1), which is between ( n lg n − n + 1) and ( n lg n + n + O(lg n )). [ 6 ]
The master theorem always yields asymptotically tight bounds to recurrences from divide and conquer algorithms that partition an input into smaller subproblems of equal sizes, solve the subproblems recursively, and then combine the subproblem solutions to give a solution to the original problem. The time for such an algorithm can be expressed ...