Answered: Which of the following are the…

Which of the following are the drawbacks of hill climbing. i) Local maximum ii) Plateau iii) Ridge i and ii i and iii i, ii and iii ii,iii

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter19: Probabilistic Dynamic Programming

Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations

Problem 7P

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There are N problems numbered 1..N which you need to complete. You've arranged the problems in increasing difficulty order, and the ith problem has estimated difficulty level i. You have also assigned a rating vi to each problem. Problems with similar vi values are similar in nature. On each day, you will choose a subset of the problems and solve them. You've decided that each subsequent problem solved on the day should be tougher than the previous problem you solved on that day. Also, to make it less boring, consecutive problems you solve should differ in their vi rating by at least K. What is the least number of days in which you can solve all problems? Input Format The first line contains the number of test cases T. T test cases follow. Each case contains an integer N and K on the first line, followed by integers v1,...,vn on the second line. Constraints 1 <= T <= 1001 <= N <= 3001 <= vi <= 10001 <= K <= 1000 Output Format Output T…
There are N problems numbered 1..N which you need to complete. You've arranged the problems in increasing difficulty order, and the ith problem has estimated difficulty level i. You have also assigned a rating vi to each problem. Problems with similar vi values are similar in nature. On each day, you will choose a subset of the problems and solve them. You've decided that each subsequent problem solved on the day should be tougher than the previous problem you solved on that day. Also, to make it less boring, consecutive problems you solve should differ in their vi rating by at least K. What is the least number of days in which you can solve all problems? Input Format The first line contains the number of test cases T. T test cases follow. Each case contains an integer N and K on the first line, followed by integers v1,...,vn on the second line. Constraints 1 <= T <= 1001 <= N <= 3001 <= vi <= 10001 <= K <= 1000 Output Format Output T…
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Due to COVID-19 pandemic which has caused high surge of patients at hospital, patients who diagnosed COVID-19 with no symptoms or mild symptoms are instructed to home quarantine and self-monitoring. Table 5 below shows an example of continuous monitoring of a patient's body temperature (TEMP) in 5 hours consecutively using a wearable thermometer. Table 5: Body Temperature Reading example within 5 hours continuous monitoring t (hour) TEMP (°C) 2 3 4 36.9 37.6 37.9 37.0 39.6 You are instructed to design a C program with the following specification: i. Read a 5 hours body temperature measurement result to obtain hour-by-hour value as shown in Table 5 using pre-defined function. ii. Scan through the body temperature value one by one and trigger the auto alarm system using pre-defined function in case any incident is detected as below: • Any TEMP value exceeds the threshold value of 39.5°C (e.g. t = 5 when ТЕMP - 39.6°C). • When TEMP value shows an increasing trend for 3 hours consecutively…
The Wealth Gap Problem The state of Georgia uses the revenue generated from its lottery to fund college scholarships for its residents. These scholarships include the HOPE Scholarship Program (which gives out Zell Miller Scholarships, HOPE Scholarships, and HOPE Grants). Each of these scholarships is merit-based, meaning they are awarded based on academic achievement rather than financial need. The minimum GPA for a HOPE Scholarship is 3.0 and the minimum for a Zell Miller Scholarship is 3.7. Students must also complete a number of advanced classes and achieve over a certain SAT score [2]. Higher-income students are more likely to receive these scholarships in Georgia. On a surface level, the redistribution system appears fair. However, students are competing for these scholarships on an uneven playing field. Students from higher income families have the resources to receive tutoring for standardized tests, and potentially achieve higher GPAS, whereas lower income families are less…
An epidemic of a new strain of flu (i.e., one for which a vaccine is not avail- able) begins with a single case on a college campus of 40,000 faculty, staff, and students. Three days later a second case is reported, and in the following days the reported cases are as shown in the table below. The day of the initial case report is noted as day 0. Day # 3 7 8 10 11 Total cases 1 2 3 4 5 7 9 11 15 A math professor observes that the number of cases seems to be increasing by about 28% per day and proposes the following model to predict the total num- ber of cases by day number x: 40000 Cases(x): 1+39999(e-02465ıx) Write a function that implements this model. Test your function with a main function that prompts the user three times to enter a day number and then calecu- lates and displays the number of cases predicted for each day number entered. Sample run: FLU EPIDEMIC PREDICTIONS BASED ON ELAPSED DAYS SINCE FIRST CASE REPORT Enter day number>> 7 By day 7, model predicts 5 cases total.…
The liquid-liquid extraction process carried out at the Electrochemical Materials Laboratory involves the extraction of nickel (Ni) from the liquid phase into an organic phase. Data from laboratory experiments are given in the table below. Ni phase cair, a (gr/l) 2 2,5 3 Ni phase organik, g (gr/l) 8,57 10 12 Assume that a is the amount of Ni in the liquid phase, and g is the amount of Ni in the organic phase. Quadratic interpolation is used to estimate the value of g, which is given by the following formula: g = x1a? + x2a + x3 a. Find three simultaneous equations based on the data given by the experimental results. b. Use the Gauss Elimination method to get the values of x1, x2 and x3 and then estimate the amount of Ni in the organic phase, if 2.3 g/l of Ni is available in the liquid phase. c. Use the LU Decomposition method to get the values of x1, x2 and x3. and then estimate the amount of Ni in the organic phase, if 2.3 g/l of Ni is available in the liquid phase.
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(Mechanical eng.) The minimum radius required for a cylindrical rod, such as one supporting a bicycle pedal (see Figure 2.22), to provide enough support for the pressure exerted by the rider’s foot yet not exceed the stress placed on the crank arm’s sprocket attachment, is given by this formula: r3=dPS r is the radius of the cylindrical rod in inches. d is the length of the crank arm in inches. P is the weight placed on the pedal in lbs. S is the stress in lbs/in2. Using this information, design, write, compile, and run a C++ program that computes the value of r for a crank arm that’s 7 inches long, accommodates a maximum weight of 300 lbs, and is able to sustain a stress of 10,000 lbs/in2.
(Heat transfer) The formula developed in Exercise 5 can be used to determine the cooling time, t, caused only by radiation, of each planet in the solar system. For convenience, this formula is repeated here (see Exercise 5 for a definition of each symbol): t=Nk2eAT3fin A=surfaceareaofasphere=4r2 N=numberofatoms=volumeofthespherevolumeofanatom Volume of a sphere sphere=43radius3 The volume of a single atom is approximately 11029m3 . Using this information and the current temperatures and radii listed in the following chart, determine the time it took each planet to cool to its current temperature, caused only by radiation.
11) Master Theorems Homework • Unanswered When applying a Master Theorem, Multiple answers: Multiple answers are accepted for this question Select one or more answers and submit. For keyboard navigation. SHOW MORE V a allow plenty of time to progress from apprentice through journeyman to become a master b be careful deciding which answer bracket you fall into carefully verify the conditions on the pattern's parameters make sure the recurrence has as many prior terms as possible match the pattern carefully – especially the non-homogeneous part
Please help step by step with explanation for Program R (CS) with a final code for understanding thank you.