Question 1(i) Using the fact that you can sort a 5-long array of numbers with 7 comparisons, describe an algorithm that can sort a 7-long array with 13 comparisons. Explain usingplain English and try to avoid drawings.(ii) Prove that the algorithm in part (i) is optimal, in the sense that you need at least 13 comparisons to sort a 7-long array of numbers.

Given: 5 long array of numbers with 7 comparisons. An algorithm that can sort 7 long array with 13…

Answered: (1) Using the fact that you can sort a…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section: Chapter Questions

Problem 6CC: When we divide a polynomial P(x) by a divisor D(x), the Division Algorithm tells us that we can...

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Similar questions

When we divide a polynomial P(x) by a divisor D(x), the Division Algorithm tells us that we can always obtain a quotient Q(x) and a remainder R(x). State two forms in which the result of this division can be written.
How exactly does one go about utilizing numerical methods to solve a set of equations that have been arranged in a system? Provide your own explanation of the algorithm used in at least one of the methods.
Suppose you have two egg-timers (hour-glasses) — one measures in 32-minute intervals, and the other measures in 12-minute intervals. • Use the extended Euclidean algorithm to obtain an equation that explains how you could time a 8 minute egg with these two timers
How do you solve the addition problem using lattice algorithm?
4. [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…
What is the quotient (q) and the remainder (r) when a is divided by b in theDivision Algorithm a = −144, b = 7a = 1,089, b = 33
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 3.73 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 9. 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
What is the use of the Euclidean algorithm?

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