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As a baseline algorithm, selection of the th smallest value in a collection of values can be performed by the following two steps: . Sort the collection; If the output of the sorting algorithm is an array, retrieve its th element; otherwise, scan the sorted sequence to find the th element.
Range minimum query reduced to the lowest common ancestor problem.. Given an array A[1 … n] of n objects taken from a totally ordered set, such as integers, the range minimum query RMQ A (l,r) =arg min A[k] (with 1 ≤ l ≤ k ≤ r ≤ n) returns the position of the minimal element in the specified sub-array A[l …
A van Emde Boas tree supports the minimum, maximum, insert, delete, search, extract-min, extract-max, predecessor and successor] operations in O(log log C) time, but has a space cost for small queues of about O(2 m/2), where m is the number of bits in the priority value. [3] The space can be reduced significantly with hashing.
The smallest-circle problem in the plane is an example of a facility location problem (the 1-center problem) in which the location of a new facility must be chosen to provide service to a number of customers, minimizing the farthest distance that any customer must travel to reach the new facility. [3]
The mobile identification number (MIN) is a number that is derived from the 10-digit directory telephone number assigned to a mobile station. The rules for deriving the MIN from the 10-digit telephone number are given in the IS-95 standard. MIN1 is the first or least significant 24 binary digits of the MIN.
It asks what denominations should be chosen for the coins in order to minimize the average cost of making change, that is, the average number of coins needed to make change. The version of this problem assumed that the people making change will use the minimum number of coins (from the denominations available).
Search the final list of roots to find the minimum, and update the minimum pointer accordingly. This takes () time, because the number of roots has been reduced. Overall, the amortized time of this operation is (), provided that = (). The proof of this is given in the following section.
In computer science, the count-distinct problem [1] (also known in applied mathematics as the cardinality estimation problem) is the problem of finding the number of distinct elements in a data stream with repeated elements. This is a well-known problem with numerous applications.