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A ternary search algorithm [1] is a technique in computer science for finding the minimum or maximum of a unimodal function. The function
The running time of ternary search trees varies significantly with the input. Ternary search trees run best when given several similar strings, especially when those strings share a common prefix. Alternatively, ternary search trees are effective when storing a large number of relatively short strings (such as words in a dictionary). [1]
The above picture is a balanced ternary search tree for the same set of 12 words. The low and high pointers are shown as angled lines, while equal pointers are shown as vertical lines. A search for the word "IS" starts at the root, proceeds down the equal child to the node with value "S", and stops there after two comparisons.
The ternary operator can also be viewed as a binary map operation. In R—and other languages with literal expression tuples—one can simulate the ternary operator with something like the R expression c (expr1, expr2)[1 + condition] (this idiom is slightly more natural in languages with 0-origin subscripts).
A ternary search tree is a type of tree that can have 3 nodes: a low child, an equal child, and a high child. Each node stores a single character and the tree itself is ordered the same way a binary search tree is, with the exception of a possible third node.
Fibonacci search: This is a variant of ternary search in which the points b,c are selected based on the Fibonacci sequence. At each iteration, only one function evaluation is needed, since the other point was already an endpoint of a previous interval.
In GNU C and C++ (that is: in C and C++ with GCC extensions), the second operand of the ternary operator is optional. [4] This has been the case since at least GCC 2.95.3 (March 2001), and seems to be the original Elvis operator. [5]
In depth-first search (DFS), the search tree is deepened as much as possible before going to the next sibling. To traverse binary trees with depth-first search, perform the following operations at each node: [3] [4] If the current node is empty then return. Execute the following three operations in a certain order: [5] N: Visit the current node.