Question There are two algorithms called Alg1 and Alg2 for a problem of size n. Alg1 runs in n? microseconds and Alg2 runs in 100n log n microseconds. Alg1 can be implemented using 4 hours of programmer time and needs 2 minutes of ACPU time. On the other hand, Alg2 requires 15 hours of programmer time and 6 minutes of CPU time. If programmers are paid 20 dollars per hour and CPU time costs 50 dollars per minute, how many times must a problem instance of size 500 be solved using Alg2 in order to justify its development cost?
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- There are two algorithms called alg1 and alg2 for a problem of size n. alg1 runs in n2 microseconds and alg2 runs in 100n log n microseconds. alg1 can be implemented using 4 hours of programmer time and needs 2 minutes of cpu time. on the other hand, alg2 requires 15 hours of programmer time and 6 minutes of cpu time. if programmers are paid 20 dollars per hour and cpu time costs 50 dollars per minute, how many times must a problem instance of size 500 be solved using alg2 in order to justify its development cost?There are two algorithms called Alg1 and Alg2 for a problem of size n. Alg1 runs in n^2 microseconds and Alg2 runs in 100nlogn microseconds. Alg1 can be implemented using 4 hours of programmer time and needs 2 minutes of CPU time. On the other hand, Alg2 requires 15 hours of programmer time and 6 minutes of CPU time. If programmers are paid 20 dollars per hour and CPU time costs 50 dollars per minute, how many times must a problem instance of size 500 be solved using Alg2 in order to justify its development cost?A computer science student designed two candidate algorithms for a problem while working on his part-time job The time complexity of these two algorithms are T,(n) = 3 n logn and T2(n) = n6/5 a) Which algorithm is better? Why? b) If we run both algorithms at the same time with an input size of 105, which algorithm produces results faster than the other one? Why?
- Given an unsorted array A of integers of any size, n ≥ 3, and an integer value x, write an algorithm as a pseudo code (not a program!) that would find out if there exist EXACTLY3 occurrences in the array with value x. What is the time complexity of your algorithm, in terms of Big-O? What is the space complexity of your algorithm, in terms of Big-O? What if , the given array A is sorted. Will time complexity change from the case that A was unsorted? • If yes; give a new algorithm that achieves this better complexity (indicate the time complexity as of that algorithm). • If no, explain why such new constraints/conditions cannot lead to a better time complexity.A computer science student designed two candidate algorithms for a problem while working on his part-time job The time complexity of these two algorithms are ?1(?) = 3 ? log ? and ?2(?) = ? 6/5a) Which algorithm is better? Why?b) If we run both algorithms at the same time with an input size of 105 which algorithm produces results faster than the other one? Why?Suppose that the running time of an algorithm A is T(n) = n2. If the time it takes for algorithm A to finish on an input of size n 10 is 100ms, what will be the time that it will take for A to finish on an input of size 20? Assume that the algorithm runs on the same machine.
- Apply algorithm 4.3.3 in P.158 with n=6 and A=(3,5,4,1,3,2). Draw the corresponding walkthrough as shown in P.158.Please help me with my AlgorithmDesign problem. From the following list of bus rapid transit system (one way): Name Route Vacation A->B->C->D Work 1 E->B->F->G->H Work 2 B->N->E Work 3 H->D->N The problem: ➢ Task: Design an algorithm (C/C++/Java/Phyton) to read the bus rapid transit system routes list and print the number of tickets we need to purchase if we want to visit all places minimal twice. The complexity of the algorithm must be O(V+E). V is the number of places. E-> is the number of transits. ➢ PS: Use Tarjan’s or Kosaraju’s strongly connected component algorithm. **In order for A to be visited twice, we must order 2 "Vacation" tickets (multiply by 2)Please do not give solution in image formate thanku. Write a Python code for the following scenario : 1: Use Breadth First Search and Recursive Best First Search and implement the algorithms in Python. The program should be able to dynamically take in start and goal nodes from the user at run time. Compare to interpret the results in terms of the algorithm working, performance & shortest path if obtained relevant to the given problem 2: Print the minimum connections that keep the whole network up and running. For each incremental depth limit, the corresponding node generating sequence should be legibly printed in the result Consider Heuristic Value as : The edge cost is an approximation towards the transmission cost between any pair of nodes. For heuristic design, consider all the possible paths between any arbitrary node n to the goal node. The average of the total transmission cost across all these paths is the heuristic value h(n) Consider the following undirected graph…
- Consider array A of n numbers. We want to design a dynamic programming algorithm to find the maximum sum of consecutive numbers with at least one number. Clearly, if all numbers are positive, the maximum will be the sum of all the numbers. On the other hand, if all of them are negative, the maximum will be the largest negative number. The complexity of your dynamic programming algorithm must be O(n2). However, the running time of the most efficient algorithm is O(n). Design the most efficient algorithm you can and answer the following questions based on it. To get the full points you should design the O(n) algorithm. However, if you cannot do that, still answer the following questions based on your algorithm and you will get partial credit. Write the recursion that computes the optimal solution recursively based on the solu- (a) tion(s) to subproblem(s). Briefly explain how it computes the solution. Do not forget the base case(s) of your recursion.A certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k – 1 (where k is an integer that is greater than 1). When the algorithm is run with an input of size 1, it executes seven operations. How many operations does it execute when it is run with an input of size 26? For each integer n 2 1, let s, -1 be the number of operations the algorithm executes when it is run with an input of size n. Then s, = and s = for each integer k 2 1. Therefore, So, S1, S21 -Select--- with constant Select--- |, which is So, for every integer n 2 0, s, It follows that for an input of size 26, the number of ... is operations executed by the algorithm is s which equals ---Select--- vA certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k - 1 (where k is an integer that is greater than 1). When the algorithm is run with an input of size 1, it executes seven operations. How many operations does it execute when it is run with an input of size 24? For each integernz 1, let s,-1 be the number of operations the algorithm executes when it is run with an input of size n. Then for each integer 2 1. Therefore, So, S3. Sz. is -Select- and s,= with constant Select- ,which is . So, for every integer n 2 0, s, = It follows that for an input of size 24, the number of operations executed by the algorithm is s -Select-v which equals Need Heln? Desd