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Python uses the following syntax to express list comprehensions over finite lists: S = [ 2 * x for x in range ( 100 ) if x ** 2 > 3 ] A generator expression may be used in Python versions >= 2.4 which gives lazy evaluation over its input, and can be used with generators to iterate over 'infinite' input such as the count generator function which ...
Here, the list [0..] represents , x^2>3 represents the predicate, and 2*x represents the output expression.. List comprehensions give results in a defined order (unlike the members of sets); and list comprehensions may generate the members of a list in order, rather than produce the entirety of the list thus allowing, for example, the previous Haskell definition of the members of an infinite list.
For example, a procedure that adds up all elements of a list requires time proportional to the length of the list, if the adding time is constant, or, at least, bounded by a constant. Linear time is the best possible time complexity in situations where the algorithm has to sequentially read its entire input.
Timsort sorts the list in time linearithmic (proportional to a quantity times its logarithm) in the list's length (()), but has a space requirement linear in the length of the list (()). If large lists must be sorted at high speed for a given application, timsort is a better choice; however, if minimizing the memory footprint of the sorting ...
() operations, which force us to visit every node in ascending order (such as printing the entire list), provide the opportunity to perform a behind-the-scenes derandomization of the level structure of the skip-list in an optimal way, bringing the skip list to () search time. (Choose the level of the i'th finite node to be 1 plus the number ...
At recursion level k = 0, badsort merely uses a common sorting algorithm, such as bubblesort, to sort its inputs and return the sorted list. That is to say, badsort(L, 0) = bubblesort(L). Therefore, badsort's time complexity is O(n 2) if k = 0. However, for any k > 0, badsort(L, k) first generates P, the list of all permutations of L.
Can the fast Fourier transform be computed in o(n log n) time? What is the fastest algorithm for multiplication of two n-digit numbers? What is the lowest possible average-case time complexity of Shellsort with a deterministic fixed gap sequence? Can 3SUM be solved in strongly sub-quadratic time, that is, in time O(n 2−ϵ) for some ϵ>0?
Time complexity of each algorithm is stated in terms of the number of inputs points n and the number of points on the hull h. Note that in the worst case h may be as large as n. Gift wrapping, a.k.a. Jarvis march — O(nh) One of the simplest (although not the most time efficient in the worst case) planar algorithms.