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A rotation is an in-place reversal of array elements. This method swaps two elements of an array from outside in within a range. The rotation works for an even or odd number of array elements. The reversal algorithm uses three in-place rotations to accomplish an in-place block swap: Rotate region A; Rotate region B; Rotate region AB
Array rotation: move the items in an array to the left or right by some number of spaces, with values on the edges wrapping around to the other side.
Right rotations (and left) are order preserving in a binary search tree; it preserves the binary search tree property (an in-order traversal of the tree will yield the keys of the nodes in proper order). AVL trees and red–black trees are two examples of binary search trees that use a right rotation. A single right rotation is done in O(1 ...
Claim: If array A has length n, then performing Heap's algorithm will either result in A being "rotated" to the right by 1 (i.e. each element is shifted to the right with the last element occupying the first position) or result in A being unaltered, depending if n is even or odd, respectively.
In a binary tree the balance factor of a node X is defined to be the height difference ():= (()) (()) [6]: 459 of its two child sub-trees rooted by node X. A node X with () < is called "left-heavy", one with () > is called "right-heavy", and one with () = is sometimes simply called "balanced".
Matrices of 8-element circular shifts to the left and right In combinatorial mathematics , a circular shift is the operation of rearranging the entries in a tuple , either by moving the final entry to the first position, while shifting all other entries to the next position, or by performing the inverse operation.
Rotate (or Roll): the n topmost items are moved on the stack in a rotating fashion. For example, if n = 3, items 1, 2, and 3 on the stack are moved to positions 2, 3, and 1 on the stack, respectively. Many variants of this operation are possible, with the most common being called left rotate and right rotate.
When the array contains only duplicates of a relatively small number of items, a constant-time perfect hash function can greatly speed up finding where to put an item 1, turning the sort from Θ(n 2) time to Θ(n + k) time, where k is the total number of hashes. The array ends up sorted in the order of the hashes, so choosing a hash function ...