TOPIC 3. Consider an open production model having n industries with n> 1. In order to produce $i of its own output, the j th industry must spend $(1/n) for the output of the i th industry (for all i #j), but the j th industry (for all j = 1,2,3,.,n) spends nothing for its own output. Write a program with n is input by a user to do the following Construct the input-output matrix C,. • The matrix input-output C is called productive if (I - C)- exists and (I - C)- 2 0. Show that C, is productive. • Find the vector output-values of this system.
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- Wireless sensor networks (WSNs) refer to a domain of communication networks. In a WSN, small devices called sensor nodes are used for data transfer among each other and a base station. One limitation of a sensor node is that it has a very limited processing capability and very small memory. Consider a scenario in which you have an algorithm that can be subdivided into smaller problems. If you have to run these sub-problems in different sensor nodes, would you prefer to use divide & conquer approach or dynamic programming approach? Write briefly and precisely.Dingyu is playing a game defined on an n X n board. Each cell (i, j) of the board (1 2, he may only go to (2, n).) The reward he earns for a move from cell C to cell D is |value of cell C – value of cell D|. The game ends when he reaches (n, n). The total reward - is the sum of the rewards for each move he makes. For example, if n = 1 2 and A = 3 the answer is 4 since he can visit (1, 1) → (1, 2) → (2, 2), and no other solution will get a higher reward. A. Write a recurrence relation to express the maximum possible reward Dingyu can achieve in traveling from cell (1, 1) to cell (n, n). Be sure to include any necessary base cases. B. State the asymptotic (big-O) running time, as a function of n, of a bottom-up dynamic programming algorithm based on your answer from the previous part. Briefly justify your answer. (You do not need to write down the algorithm itself.)Suppose a business person launches new cinema at Islamabad and ask his team to develop a ticket system for box office. He assigns some requirements about system that how should it work. The requirements are such a way that there are only '5' number of box office windows in the theatre. Each window can have at max '20' number of people waiting in line. To start with, only one window is opened. If the number of people waiting in line in that window exceeds 20, then the next window is opened and people can join the line in that window. Likewise, if both the first and second windows have n number of people waiting in each queue, then a third window is opened. This can go on until the maximum number of windows w is reached. Let us assume that once a window is opened it never closes. A new window is only opened if all open windows are full. Each person can buy only one ticket. So, the system should not allot more than one ticket per person. Let us assume that the system issues one ticket…
- Job scheduling: Consider the problem of scheduling n jobs of known durations t1, t2, . . . , tn for execution by a single processor. The jobs can be executed in any order, one job at a time. You want to find a schedule that minimizes the total time spent by all the jobs in the system. (The time spent by one job in the system is the sum of the time spent by this job in waiting plus the time spent on its execution.) Design a greedy algorithm for this problem. Does the greedy algorithm always yield an optimal solution? (Hint: You may get a clue from Prim’s Algorithm)Wireless sensor networks are a special kind of network that facilitates communication. Sensor nodes in WSNs relay information to and from a central base station. The computing resources and storage space of a sensor node are limited. Take, for example, an algorithm that can be solved by solving subproblems. Is it preferable to use dynamic programming or divide and conquer to solve these subproblems independently at various sensor nodes? Try to keep your writing short and sweet.Problem You have a fence post located at the point (x,y) where a goat is tethered by a rope. You also have a house, which is a rectangle with diagonally opposite corners at the points bottom-left: (x1,y1) and top-right: (x2,y2). You want to pick a length of rope that guarantees the goat cannot reach the house. Determine the minimum distance from the fence post to the house, so that you can make sure to use a shorter rope. Recall that the distance formula is: (x2−x1)2+(y2−y1)2 The input consists of a single line containing six space-separated integer values: x, y, x1, y1, x2, and y2. You are guaranteed that x1<x2 and y1<y2, and that (x,y) is strictly outside the axis-aligned rectangle with corners at (x1,y1) and (x2,y2). Return the minimum distance from the goat’s post to the house as a floating-point value from main(). Learning Objectives Be able to create a program with a lesser template. Be able to calculate the min/max of integers. Be able to write a mathematical…
- Abstract: the main purpose of this experiment is build real time system using PPI 8255 to control devices connected to. Problem description: assume that there are two devices are connected to port A and two sensors are connected to port B of PPI 8255. They work according to the following table Devices (DID2) 01 10 Sensors (S1S2) 00 01 10 11 11 00 Write a program to control these two devices according to the values of sensors. Each group should submit a zip file which contains the following files Code file: (assembly language code) - Simulation file Report (pdf file) (details of every single step in the code, also what have you learned from this experiment)code in python Being tired of the challenging assignments given by the MCS Professors, students have collectively decided to have a roasting contest with the professors. We divide participants into two teams: students and professors. Each participant gets 500 points for their team when they roast a participant from the opposing team. Moreover, if the same participant roasts someone from the opposing team again within 10 minutes, their team gets an additional 500 points. For example, if a participant roasts twice within 10 minutes, their team gets 500+500 = 1000 points. As another example, if a participant roasts for the first time, roasts for the second time within 10 minutes, and then roasts within 10 minutes of their second roast, their team gets 500 + (500 + 500) + (500 + 500) = 2500 points. Input The first line contains the integer n (1 <= n <= 200), the number of times participants roasted each other in the contest. The second line contains the integer m1 denoting the total…SIn|; -5Please code in python Being tired of the challenging assignments given by the MCS Professors, students have collectively decided to have a roasting contest with the professors. We divide participants into two teams: students and professors. Each participant gets 500 points for their team when they roast a participant from the opposing team. Moreover, if the same participant roasts someone from the opposing team again within 10 minutes, their team gets an additional 500 points. For example, if a participant roasts twice within 10 minutes, their team gets 500+500 = 1000 points. As another example, if a participant roasts for the first time, roasts for the second time within io minutes, and then roasts within 10 minutes of their second roast, their team gets 500 + (500 + 500) + (500 + 500) = 2500 points. Input The first line contains the integer n (1 <= n <= 200), the number of times participants roasted each other in the contest The second line contains the integer ml denoting the…The diagram below represents a street map in a model city. The lines correspond to streets, and the circles correspond to intersections. Each street is labelled with the length of a delay experienced by using that street. Use the DYNAMIC PROGRAMMING approach to compute the route whịch will minimize the total delay incurred when travelling from point s to point t. (Your solution should include the delay from point s to every intersection.) 6. 4 3 4. 2. 4. 2) 2. 3. 2. 3.Consider the software that runs in an Automated Teller Machine (ATM) machine. One task that must be able to be performed is to determine the type (denomination) of currency and the numbers of bills (aka “banknotes” for those of you not from North America) for each type dispensed. A requirement is that our ATM use the fewest number of bills that it can to dispense the specified amount of money. It only dispenses fifties, twenties, tens, fives, and ones. Design and implement program that writes out what bills would be dispensed if this machine existed for the amount of money that was asked for by the user.Test CasesIn the comments at the top of your file, list 3 test cases that you came up with. Something like this but choose your own examples. You should write your test cases in such a way that, if they all pass, you can be fairly confident your program will work all the time. '''Test case #1:Input: $1Output: 0 fifties, 0 twenties, 0 tens, 0 fives, 1 onesTest case #2:Input: $22Output:…SEE MORE QUESTIONS