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Question 1a: For n ? 0 , what is the time complexity of the method q(1, n). Show the details of your calculation of O(q(1, n) ˜ O(?).public int q (int i, int n) { return i+(i >= n ? 0 : q(i+i, n));}Answer: Linear time. O(n)Question 1b: For n ? 0 , what is the time complexity of the r(n) method. Show the details of you calculation of O(r(n)) ˜ O(?).public int r(int n) { int sum = 0; for (int i=1; i <= n+n; i++) sum+=i + q(1,n); return sum;}Answer: Linear time. O(n)Question 1c: For n ? 0 , what is the time complexity of the algorithm_1(int n) method. Show the details of you calculation of O(algorithm_1(n)) ˜ O(?).public void algorithm_1(int n) { if (n < 1) return; System.out.println(q(1, n)*n); System.out.println(r(n)); System.out.println(q(1, n+n) + r(n+n));}Answer: Linear time. O(n)Bonus:-public int t(int n) { for (int i=1; i <= n+n; i++) { for (int j=1; j < i; j++) sum+=i + q(1,n);}Answer: Quadratic time. O(n^2)Question 2:n ? 0 , what is the time complexity of the binarySearch(array[n], key) algorithm. Show the details of you calculation of O(binarySearch(array[n], key)) ˜ O(?).time = O(log n)2^t -1 = n2^t = n + 1log2(2^t) = log2(n+1)t = log2 n + 1The time is logarithmic in the number of elements. Or proportional to the logarithm of # of elements.
Implement a nice graph datastructure. Implement two different greedy graph coloring algorithms. Shortest path algorithm and MST algorithms.
Discuss how a database management system and data mining can help motor vehicle maintenance center improve its services, and what tables would be required in such a database.
In the AJAX scripts construct, refer to the DSN datasource as flamingo. Even though its not in your own folder or directory, it has been set up as SYSTEM DSN, so your AJAX script will have access to it.
Explain how to define the s-t cut on node capacitated network as opposed to edge capacitated network, and how would one illustrate that analogue of the max flow min cut theorem.
Write a program that implements the linked list Include the Node struct, the typedef NodePtr statement, and the head_insert() function Then write a main() that does these steps: creates a head for the list.
Create algorithm which concatenates T1 and T2 into single binary search tree. Worst case running time must be O(h).
Detailed requirements. Using guidance provided in the text, (specifically chapters 12 and 13) develop your detailed requirements. Develop as many as possible but you must cover some detailed requirements for each of your high level requirements.
Assume you are asked you to create a new entity-relationship diagram for a corporation for a customized shipment tracking system.
In which view can you see header and footer areas of worksheet?
Make a class for services offered by a hair styling salon. Information fields with a String to hold the service description, a double to hold the price, and an integer to hold average number of minutes it takes to perform the service.
Write JS code which prompt the user for an integer and prints the result.
Determine ciphertext (in binary form) generated by encryption of character X?
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