A certain computer algorithm executes three times as many operations when it is run with an input of size n as when it is run with an input of size n - 1 (where n > 1 is an integer). When the algorithm is run with an input of size 1, it executes ten operations. Let s, be the number of operations the algorithm executes when it is run on an input of size n. Find a closed form for s.
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- What is the nearest neighbor algorithmWrite the pseudocode for an algorithm that takes as input a list of numbers that are sorted in nondecreasing order, and finds the location(s) of the most frequently occurring element(s) in the list. If there are more than one element that is the most frequently occurring, then return the locations of all of them. Analyze the worst-case time complexity of this algorithm and give the O() estimate. (A list is in nondecreasing order if each number in the list is greater than or equal to the number preceding it.) ((Thank you for your help))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 22? For each integer n 2 1, let s, be the number of operations the algorithm executes when it is run with an input of size n. Then 1 7.2k for each integer k > 1. Therefore, So, S1, S21 So and is a geometric sequence with = 17 Sk constant multiplier which is 2 . So, for every integer n 2 0, s, 7.2* . It follows that for an input of size 22, the number of operations executed by the algorithm is s which equals 58720256 22
- 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 23? For each integer n ≥ 1, let s - 1 be the number of operations the algorithm executes when it is run with an input of size n. Then so = 7 Therefore, So, S1, S2 ... is a geometric sequence size 23, the number of operations executed by the algorithm is with constant multiplier 22 + , which is 2 which equals 29360128 and Sk . So, for every integer n ≥ 0, Sn= = 2S-1 for each integer k ≥ 1. X. It follows that for an input ofApply the general form of unconstrained optimization algorithm for the function f(x1, x2) = 2x3 – 2x1 – 8x2 +1 to find X1, where X, = [-1,1]" and do = [2, 4]". %3D %3D 8 4 non of these [-3·일 Option 4 Option 3 39 Option 1 Option 24. The conventional algorithm for evaluating a polynomial anx" + an-1x¹ +... + a1x + ao at x = c can be expressed in pseudocode as Algorithm Polynomial (c, ao, a₁,...,an: real numbers) power = 1; y = ao; for i = 1 to n power power * c; y = y + ai * power return y; Notice that the final value of y is y = anc" + an-1 c¹ +...+ a₁c + ao, the value of the polynomial at x = c. a) Evaluate 3x² + x +1 at x = 2 by working through each step of the algorithm showing the values assigned at each assignment step. b) Exactly how many multiplications and additions are used to evaluate a polynomial of degree n at x = c? (Do not count additions used to increment the loop variable.)
- How would I use the Extended Euclidean Algorithm to express this gcd as a linear combination? I found the gcd of (14,203) is 7. gcd(14, 203)Apply the backflow algorithm to the digraph below T9 (6) T5 (12) T1 (3) T6 (10) T8 (4) T10 (5) Т2 (2) End ТЗ (8) T7 (9) T4 (11) Task 5 has a critical time of Task 2 has a critical time ofFind the LCD and GCD using Euclidean Algorithm
- 29. (a) Use the Euclidean Algorithm to find gcd(55577,13428). (b) Run the Euclidean Algorithm "backwards" to write gcd(55577,13428) as an integral linear combination of 55577 and 13428. (That is, write it in the form "55577s + 13428ť" for suitable integers s and t.) (c) Using information already obtained in this problem, find Icm(55577,13428).PLEASE ONLY WRITE IN WOLFRAM MATHEMATICA. IT'S ABOUT NEVILLE'S ALGORITHM4. [Ocean Weather] Information about ocean weather can be extracted from radar returns with the aid of a special algorithm. A study is conducted to estimate the difference in wind speed as measured on the ground and via the Seasat satellite. To do so, wind speeds (miles per hour) are measured on the ground and via the Seasat satellite simultaneously at 12 special times. The data is shown in the following table. The table also shows the difference between the wind speed on the ground and that via the Seasat satellite at each time, as well as some summary statistics. Difference Time Ground (x) Satellite (y) d= x – y 1 4.46 4.08 0.38 3.99 3.94 0.05 3 3.73 5.00 -1.27 4 3.29 5.20 -1.91 4.82 3.92 0.90 6 6.71 6.21 0.50 7 4.61 5.95 -1.34 8. 3.87 3.07 0.80 3.17 4.76 -1.59 10 4.42 3.25 1.17 11 3.76 4.89 -1.13 12 3.30 4.80 -1.50 d = -0.41 Sd = 1.14 It is claimed that the wind speed measured on the ground is lower than that measured via the Satellite on average. Set up your hypotheses to test this…