After finding out you are secretly part of the royal family of Genovia, you inherit a 16th-century Genovian castle with an elaborate plumbing system that has accumulated pipes, junctions, and clogs over four centuries. Instead of a diagram, you are given a list of pipes and their capacities leading from the water source to your bathroom Pipe S,2 S,4 2,3 2,5 4,2 | 4,5 3,5 3,6 5,6 5,7 6,7 6,T 7,T Саp | 4 6. 2 4 3 6. 2 4 1 9. 4 b. You'd like to know if it is safe to install a modern shower, or if this will eventually overflow the historic bathtub. Use the Ford Fulkerson algorithm to determine the max flow of this flow network/graph. Please draw your final residual graph and write the calculated max flow.

After finding out you are secretly part of the royal family of Genovia, you inherit a 16th-century Genovian castle with an elaborate plumbing system that has accumulated pipes, junctions, and clogs over four centuries. Instead of a diagram, you are given a list of pipes and their capacities leading from the water source to your bathroom Pipe S,2 S,4 2,3 2,5 4,2 | 4,5 3,5 3,6 5,6 5,7 6,7 6,T 7,T Саp | 4 6. 2 4 3 6. 2 4 1 9. 4 b. You'd like to know if it is safe to install a modern shower, or if this will eventually overflow the historic bathtub. Use the Ford Fulkerson algorithm to determine the max flow of this flow network/graph. Please draw your final residual graph and write the calculated max flow.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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After finding out you are secretly part of the royal family of Genovia, you inherit a 16th-century Genovian castle with an elaborate plumbing system that has accumulated pipes, junctions, and clogs over four centuries. Instead of a diagram, you are given a list of pipes and their capacities leading from the water source to your bathroom Pipes S,2 S,4 2,3 2,5 4,2 4,5 3,5 3,6 5,6 5,7 6,7 6,T 7,T Capacity 4 7 6 2 4 3 6 2 5 4 1 9 4 Draw the flow graph of your new castle and list: i. The shortest augmenting path (and it’s bottleneck) ii. The highest capacity augmenting path (and it’s bottleneck)
After finding out you are secretly part of the royal family of Genovia, you inherit a 16th-century Genovian castle with an elaborate plumbing system that has accumulated pipes, junctions, and clogs over four centuries. Instead of a diagram, you are given a list of pipes and their capacities leading from the water source to your bathroom. Pipes S,2 S,4 2,3 2,5 4,2 4,5 3,5 3,6 5,6 5,7 6,7 6,T 7, T Capacity 4 7 6 2 4 3 6 2 5 4 1 9 4 Question 1: Draw the flow graph of your new castle and list: i. The shortest augmenting path (and it’s bottleneck) ii. The highest capacity augmenting path (and it’s bottleneck)
The problem states that there are five philosophers sitting around a circular table. The philosophers must alternatively think and eat. Each philosopher has a bowl of food in front of them, and they require a fork in each hand to eat. However, there are only five forks available. You need to design a solution where each philosopher can eat their food without causing a deadlock.
Three persons P1, P2, and P3 were invited by their friend F to make some smørbrød (sandwich made of bread, eggs, and tomato) together. To make a portion of smørbrød, three ingredients are needed: a slice of bread, a slice of tomato, and a slice of an egg. Each of these persons P1, P2, P3 has only one type of each of the ingredients: person P1 has slices of bread person P2 has slices of tomato; person P3 has slices of egg. We assume that persons P1, P2, and P3 each has an unlimited supply of these ingredients (i.e., slices of bread, slices of tomato, slices of egg), respectively. Their friend F, who invited them, also has an unlimited supply of all the ingredients. Here is what happens: the host F puts two random ingredients on the table. Then the invited person who has the third ingredient picks up these other two ingredients, and makes the smørbrød (i.e., takes a slice of bread, puts on it a slice of tomato, and puts on top a slice of egg), and then eats the smørbrød. The host of…
Answer the given question with a proper explanation and step-by-step solution. You are asked to pick up a project on building highways to connect all cities in the country. The cost of building a highway between two cites i and j is c(i, j) > 0. If you were in charge from the beginning, this would have been a minimum spanning tree problem and could be solve easily with the algorithms covered in class. Since you pick it up halfway, however, some suboptimal choices have already been made by your predecessor. In other words, highways were already built between some pairs of cities. Design an algorithm to find a cost minimizing set of highways to built subject to the choices already made. Do not copy others.
Consider a system that handles railway connections as it associates (source) cities to all their corresponding destinations. The requirements of the system are as follows: 1. A source city may have connections to possibly multiple destination cities. 2. Multiple source cities may share the same group of destination cities. We introduce type CITY . A possible state of the system is shown below as it is captured by variable connections:connections ={Montreal → {Ottawa, Kingston, Quebec, Halifax},Ottawa → {Montreal, Toronto},Toronto → {Montreal, Ottawa},Halifax → {Montreal, Quebec},Quebec → {Montreal, Halifax},Kingston → {Montreal}} 1. Is connections a binary relation? Explain why, and if so express this formally. 2. In the expression connections ∈ (...), what would the RHS be? 3. Is connections a function? If so, define the function formally, and reason about the properties of injectivity, surjectivity and bijectivity. 4. Describe the meaning and evaluate the following…
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…
Correct answer will be upvoted else downvoted. Computer science. in case there are two planes and a molecule is shot with rot age 3 (towards the right), the cycle is as per the following: (here, D(x) alludes to a solitary molecule with rot age x) the primary plane delivers a D(2) to the left and lets D(3) progress forward to the right; the subsequent plane delivers a D(2) to the left and lets D(3) progress forward to the right; the primary plane lets D(2) forge ahead to the left and creates a D(1) to the right; the subsequent plane lets D(1) progress forward to one side (D(1) can't create any duplicates). Altogether, the last multiset S of particles is {D(3),D(2),D(2),D(1)}. (See notes for visual clarification of this experiment.) Gaurang can't adapt up to the intricacy of the present circumstance when the number of planes is excessively huge. Help Gaurang find the size of the multiset S, given n and k. Since the size of the multiset can be extremely huge, you…
Prolog Consider the (directed) network in the attached document. We could represent this network with the following Prolog statements: link(a,b). link(a,c). link(b,c). link(b,d). link(c,d). link(d,e). link(d,f). link(e,f). link(f,g). Now, given this network, we say that there is a "connection" from a node "X" to a node "Y" if we can get from "X" to "Y" via a series of links, for example, in this network, there is a connection from "a" to "d", and a connection from "c" to "f", etc. Formulate the appropriate Prolog rule "connection(X,Y)" which is true if (and only if) there is a "connection" from "X" to "Y" as described above --- note that this rule will be recursive. Test this rule out on the above network, to see if it is working correctly. Once it is working correctly, you will note that, e.g., the query "connection(a,e)." will give "true" multiple times. This means something, actually:
A city operates a set of tram lines. There are a number of stops for each tram line. For each tram line exactly one stop is the origin of the tram line and exactly one stop is the destination of the tram line. A terminus of a tram line is a stop that is either origin or destination of the tram line. 1)Model the tram system we just described in Alloy. Add signature facts when needed. Express each of the following constraints by an Alloy predicate: No two tram lines have the same stops Every tram stop is served by at least one tram line No two tram lines share the same terminus. 2) Write the following three functions: A function that returns all the tram lines serving a given stop A function that returns for two stops the set of tram lines serving both stops A function that returns, for two given tram lines, the set of stops that are served by both tram lines Add the notion of route to the above model: a route is defined for a tram line and consists of the (ordered) sequence of stops…
The language for coding must be in python Neural Network Units Implement a single sigmoid neural network unit with weights of [-1.2, -1.1, 3.3, -2.1] Calculate the outputs for two training examples:Example 1: [0.9, 10.0, 3.1, 1]Example 2: [0.9, 2.1, 3.7, 1] Note that you don't have to explicitly include a threshold or bias since the examples include a last element of 1 which means that the last weight effectively operates as a threshold. Assuming that a sigmoid unit response >0.5 denotes a positive class and <0.5 is negative class, is example 1 positive or negative? is example 2 positive or negative? Create a single ReLU unit and provide the outputs for those examples. Calculate the derivative of the sigmoid with respect to net input for both examples Calculate the derivative of the ReLU with respect to net input for both examples
Correct answer will be upvoted else downvoted. Computer science. You are given an undirected complete diagram with n hubs, where a few edges are pre-appointed with a positive weight while the rest aren't. You wanted to allot all unassigned edges with non-negative loads so that in the subsequent completely appointed total chart the XOR amount, all things considered, would be equivalent to 0. Characterize the offensiveness of a completely alloted complete chart the heaviness of its base spreading over tree, where the heaviness of a crossing tree approaches the amount of loads of its edges. You really wanted to appoint the loads with the goal that the offensiveness of the subsequent chart is just about as little as could be expected. As an update, an undirected complete diagram with n hubs contains all edges (u,v) with 1≤u<v≤n; such a chart has n(n−1)2 edges. She isn't sure how to take care of this issue, so she requests that you address it for her. Input The…