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For example, in a program, two variables may be defined thus (in pseudocode): data_item x := 1 data_item y := 0 swap (x, y); After swap() is performed, x will contain the value 0 and y will contain 1; their values have been exchanged.
In this example we assume that DijkstraSSSP takes the graph and the root node as input. The result of the execution in turn is the distancelist d v {\displaystyle d_{v}} . In d v {\displaystyle d_{v}} , the i {\displaystyle i} -th element stores the distance from the root node v {\displaystyle v} to the node i {\displaystyle i} .
Using the XOR swap algorithm to exchange nibbles between variables without the use of temporary storage. In computer programming, the exclusive or swap (sometimes shortened to XOR swap) is an algorithm that uses the exclusive or bitwise operation to swap the values of two variables without using the temporary variable which is normally required.
Example graph. Following is a step by step description of the algorithm execution for a small example graph. The source vertex is the vertex A and is equal to 3. At the beginning of the algorithm, all vertices except for the source vertex A have infinite tentative distances.
In computer science, Tarjan's off-line lowest common ancestors algorithm is an algorithm for computing lowest common ancestors for pairs of nodes in a tree, based on the union-find data structure. The lowest common ancestor of two nodes d and e in a rooted tree T is the node g that is an ancestor of both d and e and that has the greatest depth ...
2-opt. In optimization, 2-opt is a simple local search algorithm for solving the traveling salesman problem.The 2-opt algorithm was first proposed by Croes in 1958, [1] although the basic move had already been suggested by Flood. [2]
The Link fields in the records contain the XOR of the left and right successor addresses, say L⊕R. XOR of R2 (C⊕P) with the current link field (L⊕R) yields C⊕P⊕L⊕R. If the predecessor was L, the P(=L) and L cancel out leaving C⊕R. If the predecessor had been R, the P(=R) and R cancel, leaving C⊕L.
If not, swap the element with its parent and return to the previous step. Steps 2 and 3, which restore the heap property by comparing and possibly swapping a node with its parent, are called the up-heap operation (also known as bubble-up, percolate-up, sift-up, trickle-up, swim-up, heapify-up, cascade-up, or fix-up).