Suppose program P1 requires T1(n) = n4 operations and P2 requires T2(n) = 2n. Suppose that your machine executes 106 operations per second. If n = 1,000, what is the running time of these programs?
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Suppose program P1 requires T1(n) = n4 operations and P2 requires T2(n) = 2n. Suppose that your machine executes 106 operations per second. If n = 1,000, what is the running time of these programs?
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- 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? DesdJohn tells you that a certain algorithm runs in time n(n2 +200n), and Bill tells you that the same algorithm runs in time (n). Assume that both statements are correct, which one is more informative, i.e., gives you a better estimation of the running time? Why?
- Suppose the runtime efficiency of an algorithm is presented by the function f(n) = 10n + 10². Which of the following statements are true? Indicate every statement that is true. A. The algorithm is O(n log n) B. The algorithm is O(n) and O(log n). C. The algorithm is O(log n) and 80(n). D. The algorithm is (n) and (log n). E. All the options above are false.2) 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 T1(n) = 3 n logn and T2(n) = nº/5 . a) Which algorithm is better? Why? b) If we run both algorithms at the same time with an input size of 10°, which algorithm produces results faster than the other one? Why?Suppose a program runs in on a computer with multiply operations responsible for 90% of the execution time. What is the overall speedup achieved if the speed of multiply operations is improved by 16? How much do we have to improve the speed of multiplication if i want my program to run four times faster?
- You are given two algorithms A and B where A has 3,500 instructions and runs in 3 seconds; while B has 26,400 instructions and runs in 2 seconds. If you are required to compare the 2 algorithms, what criteria should you use to determine which of them is better in solving the given problem?Answer in python language only A very successful cinema director named "Chef" decided to solve the problem. When a customer wants to buy a ticket, the clerk at the ticket window asks the visitor if he or she needs a rest area, and if so, which one: left, right, or both. We know that in the audience they are expected to appear, their L needs a left-handed position, their R needs a right one, Z does not need a single one and B needs both. Your job is to count the number of people who can attend the show. In the theatre there are N rows with each M seat. There is only one lounge between the two adjacent seats. Seats at the beginning and end of the row have two armrests. Help him using the C++ programming language. Input 1 331209 Output: 8There 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?
- 2) 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 T1(n) = 3 n log n and T2(n) = nº/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?Suppose your computer's CPU limits the time to one minute to process the instance of the problem with size n = 1000 using the algorithm with time complexity T(n) = n. If you upgrade your computer with the new CPU that runs 1000 times faster, what instance size could be precessed in one minute using the same algorithm?Write a program in scala programming language to get the absolute difference between n and 21 and if n is greater than 21 return the triple the absolute difference.