Let S1, S2,...,Sk be k different sequences whose elements have integer keys in the range [0,...
Let S1, S2,...,Sk be k different sequences whose elements have integer keys in the range [0, N − 1], for some parameter N ≥ 2. Describe an algorithm running in O(n + N) time for sorting all the sequences (not as a union), where n denotes the total size of all the sequences.
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Let S1, S2,...,Sk be k different sequences whose elements have
integer keys in the range [0,...
4. Ranking/Unranking Subsets. Let A be a set of n elements and set Sk(A) be the collection of all k-element subsets of A. Recall that |Sk(A)I - (a.) (8 points) Describe a ranking algorithm to rank a...
4. Ranking/Unranking Subsets. Let A be a set of n elements and set Sk(A) be the collection of all k-element subsets of A. Recall that |Sk(A)I - (a.) (8 points) Describe a ranking algorithm to rank a k-element subset of an n-element set. (b.) (8 points) Describe an unranking algorithm to unrank an integer 0 < s< [into a ithm to unrank an integer 0 S s <C) k-element subset of an n-element set. (c.) (10 points) As examples, let...
3. (20 pts) Let ụ be a finite set, and let S = {Si, S , S,n} be a collection of subsets of U. Given an integer k, w...
3. (20 pts) Let ụ be a finite set, and let S = {Si, S , S,n} be a collection of subsets of U. Given an integer k, we want to know if there is a sub-collection of k sets S' C S whose union covers all the elements of U. That is, S k, and Us es SU. Prove that this problem is NP-complete. 992 m SES, si
3. (20 pts) Let ụ be a finite set, and let...
4. Let n be a positive integer with n > 20, and let S (1,2.. n21 with IS- (a) Show that S possesses two different 3-element subsets, the sums of whose elements are equal b) Show that S possesses t...
4. Let n be a positive integer with n > 20, and let S (1,2.. n21 with IS- (a) Show that S possesses two different 3-element subsets, the sums of whose elements are equal b) Show that S possesses two disjoint subsets, the sums of whose elements are equal.
4. Let n be a positive integer with n > 20, and let S (1,2.. n21 with IS- (a) Show that S possesses two different 3-element subsets, the sums of whose...
Design an algorithm for the following description. Solution can be done in pseudo-code or steps of...
Design an algorithm for the following description. Solution can
be done in pseudo-code or steps of the algorithm.
Describe and analyze an algorithm that takes an unsorted array A of n integers (in an unbounded range) and an integer k, and divides A into k equal-sized groups, such that the integers in the first group are lower than the integers in the second group, and the integers in the second group are lower than the integers in the third group,...
1st photo is the introduction. 2nd photo are the questions. Thanks in advance! 5 Comparing...
1st photo is the introduction. 2nd photo are the
questions. Thanks in advance!
5 Comparing Substrings Here you'll evaluate running times of algorithms whose input size is expressed using two parameters. Let T[l.n] and T'[1.n] be strings of length n, over a finite alphabet (For example, T and T' might be over the alphabet {A, C, G, T), and represent DNA strands.) A function Match indicates whether or not a letter of T matches a letter of T. That...
Hello I have an automata question could you help me? [1Points] Give a formal description of a Tu...
Hello I have an automata question could you help me? [1Points] Give a formal description of a Turing Machine M that takes two parameters: an integer and an array of integers and decides whether the given integer is an element of the array or not. You can assume that all the integers are between 0 and 9. The input string will be written on the tape of the Turing machine. The first square of the tape contains the integer, the...
k-d tree Background One generalization of binary trees is the k-d tree, which stores k-dimensional data....
k-d tree Background One generalization of binary trees is the k-d tree, which stores k-dimensional data. Every internal node of a k-d tree indicates the dimension d and the value v in that dimension that it discriminates by. An internal node has exactly two children, containing data that is less-than-or-equal and data that is greater than v in dimension d. For example, if the node distinguishes on dimension 1, value 107, then the left child is for data with y...
Do the following project: Following is the file to be programmed in Linux kernel. Run this...
Do the following project: Following is the file to be programmed
in Linux kernel. Run this program. Include the screenshot of the
results.
Multi threaded Sorting Application
Write a multithreaded sorting program that works as follows: A
list of integers is divided into two smaller lists of equal size.
Two separate threads (which we will term sorting threads) sort each
sub list using a sorting algorithm of your choice. The two sub
lists are then merged by a third thread—a...
program will enter data into two single dimension arrays (do not st...
program will enter data into two single dimension arrays (do not store duplicate values in arrays) program will find the union and intersection of the two arrays using one function program will find the symmetric difference of two arrays program will display the union, intersection, and symmetric difference */ short* input_data(short size); // function to dynamically allocate and array and enter data into the array void display_data(short *data, short size); // function to display data in an array void get_union_intersection(short...
0. Introduction. This involves designing a perfect hash function for a small set of strings. It...
0. Introduction. This involves designing a perfect hash function for a small set of strings. It demonstrates that if the set of possible keys is small, then a perfect hash function need not be hard to design, or hard to understand. 1. Theory. A hash table is an array that associates keys with values. A hash function takes a key as its argument, and returns an index in the array. The object that appears at the index is the key’s...
4. Ranking/Unranking Subsets. Let A be a set of n elements and set Sk(A) be the collection of all k-element subsets of A. Recall that |Sk(A)I - (a.) (8 points) Describe a ranking algorithm to rank a k-element subset of an n-element set. (b.) (8 points) Describe an unranking algorithm to unrank an integer 0 < s< [into a ithm to unrank an integer 0 S s <C) k-element subset of an n-element set. (c.) (10 points) As examples, let...
3. (20 pts) Let ụ be a finite set, and let S = {Si, S , S,n} be a collection of subsets of U. Given an integer k, we want to know if there is a sub-collection of k sets S' C S whose union covers all the elements of U. That is, S k, and Us es SU. Prove that this problem is NP-complete. 992 m SES, si
3. (20 pts) Let ụ be a finite set, and let...
4. Let n be a positive integer with n > 20, and let S (1,2.. n21 with IS- (a) Show that S possesses two different 3-element subsets, the sums of whose elements are equal b) Show that S possesses two disjoint subsets, the sums of whose elements are equal.
4. Let n be a positive integer with n > 20, and let S (1,2.. n21 with IS- (a) Show that S possesses two different 3-element subsets, the sums of whose...
Design an algorithm for the following description. Solution can
be done in pseudo-code or steps of the algorithm.
Describe and analyze an algorithm that takes an unsorted array A of n integers (in an unbounded range) and an integer k, and divides A into k equal-sized groups, such that the integers in the first group are lower than the integers in the second group, and the integers in the second group are lower than the integers in the third group,...
1st photo is the introduction. 2nd photo are the
questions. Thanks in advance!
5 Comparing Substrings Here you'll evaluate running times of algorithms whose input size is expressed using two parameters. Let T[l.n] and T'[1.n] be strings of length n, over a finite alphabet (For example, T and T' might be over the alphabet {A, C, G, T), and represent DNA strands.) A function Match indicates whether or not a letter of T matches a letter of T. That...
Do the following project: Following is the file to be programmed
in Linux kernel. Run this program. Include the screenshot of the
results.
Multi threaded Sorting Application
Write a multithreaded sorting program that works as follows: A
list of integers is divided into two smaller lists of equal size.
Two separate threads (which we will term sorting threads) sort each
sub list using a sorting algorithm of your choice. The two sub
lists are then merged by a third thread—a...
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