Linked Train Cars

数据结构代写/data structure代写/C++代写:这是典型的数据结构方面的C++项目

In this assignment we examine and manipulate a doubly-linked list structure of different types of train cars:

engines, freight cars, passenger cars, dining cars, and sleeping cars. Each engine weighs 150 tons and has

power = 3,000 horsepower, freight cars hold different weights (depending on the contents of the car), and

all other cars weigh 50 tons. Note that a train can have multiple engines that work together to drive the

train, and these engines can be positioned at the front, the back, or even in the middle of the train! Your

task for this assignment is to perform a variety of basic train yard operations to connect, disconnect, and

reconnect cars into trains in preparation for service. Please read through the entire handout before beginning

the assignment.

Train Statistics: Speed and Passenger Comfort

Overly simplified, the formula for the theoretical maximum relates the overall train weight, the combined

engine horsepower, and the slope incline:

speed miles

hour =

total horsepower ∗ 550lb-feet

sec ∗ 3600sec

hr

20lb tractive effort

1% grade ∗ 2% grade ∗ 5280 feet

mile ∗ total weight in tons

Let’s look at an example, using the provided ASCII art printout of a TrainCar linked list:

~~~~

||

—100 ——101 ——102 ——103 ——104 ——105

/ ENGINE | | | | | dine | | | | sleep |

-oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo-

#cars = 6; total weight = 400; speed on 2% incline = 70.3; avg distance to dining = 1.3; closest engine to sleeper = 5

Each TrainCar object has a unique ID number displayed in the upper right corner. This number will help

us keep track of specific cars when we edit links between train objects. The unmarked cars are simple

passenger cars. The statistics printed below the ASCII output detail the total number of cars in the train

(including engines), the total weight of the train (in tons), and the calculated maximum speed (in mph)

on a 2% incline. You will also need to calculate the final two numbers measuring the comfort level of the

passengers riding in the train. First, we would like to know how far the occupants of the passenger cars are

from the nearest dining car. Passengers can walk from car to car (forward or backward) in the linked list

structure. However, passengers cannot walk through engine or freight cars. The number calculated is the

average across all passenger cars. In this example, two passenger cars are 1 car length away from a dining

car, and one passenger car is 2 car lengths away. Thus, the average distance to the closest dining car for the

above example is (2 ∗ 1 + 1 ∗ 2)/3 = 1.3. Shorter average distance to dining values are more comfortable for

passengers. Finally, we measure the quiet comfort of the passengers in the sleeping cars. Since the engines

are the noisiest part of the train, we would like to know what is the worst case closest distance to an engine

car from any sleeping car in the train. Larger closest engine to sleeper values are more comfortable for the

passengers. In the event of an “infinte” statistic, you should represent it using a negative value.

Preparing Multiple Freight Trains

The first interesting algorithm we tackle is shipping a large quantity of freight in multiple trains. You will

write the function ShipFreight that takes in four arguments. The first two arguments are TrainCar pointers:

a collection of engines, and a collection of freight cars. The third argument is the required minimum speed

to ship this freight and the fourth argument is the maximum number of cars allowed per train. The function

returns an STL vector of trains — actually TrainCar pointers to the first car / head node in a linked list

representing each complete train. Your goal is to ship all of the freight in the fewest number of trains, using

the fewest total number of engines. This is a tricky optimization problem with more than one correct answer.

For the core assignment you must ensure that your trains achieve the minimum speed and maximum car per

train requirements. For extra credit you can improve the algorithm and argue that your solution is indeed

optimal (fastest train speed and fewest number of engines and trains) for any provided input.

Here is one possible answer for ShipFreight called with 10 engines, 25 freight cars of varying weight, a train

length limit of 12 or fewer cars, and a minimum speed of 60 mph. Only 5 engines were necessary and the

freight is split into 3 trains. The weight (in tons) of each freight car is displayed in the center of the car.

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||

—106 ——116 ——117 ——118 ——119 ——120 ——121 ——122

/ ENGINE | 40 | | 45 | | 30 | | 65 | | 35 | | 35 | | 35 |

-oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo-

#cars = 8, total weight = 435, speed on 2% incline = 64.7

~~~~ ~~~~

|| ||

—107 —108 ——123 ——124 ——125 ——126 ——127 ——128 ——129 ——130 ——131 ——132

/ ENGINE / ENGINE | 50 | | 85 | | 50 | | 45 | | 40 | | 85 | | 85 | | 45 | | 45 | | 65 |

-oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo-

#cars = 12, total weight = 895, speed on 2% incline = 62.8

~~~~ ~~~~

|| ||

—109 —110 ——133 ——134 ——135 ——136 ——137 ——138 ——139 ——140

/ ENGINE / ENGINE | 75 | | 40 | | 65 | | 65 | | 75 | | 45 | | 95 | | 90 |

-oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo-

#cars = 10, total weight = 850, speed on 2% incline = 66.2

Managing Train Car Rearrangement

The second significant algorithm you will implement is separating one big passenger train (with two or more

engines) into two smaller but similarly fast (and for extra credit, optimally comfortable) trains. The resulting

speed of the two smaller trains should be approximately the same as the original large train. First, we’ll

assume the input train has exactly two engines. Here’s a sample input train:

~~~~ ~~~~

|| ||

—141 ——142 ——143 ——144 ——145 ——146 ——147 —148 ——149 ——150 ——151

/ ENGINE | | | | | dine | | sleep | | sleep | | | / ENGINE | | | dine | | |

-oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo-

#cars = 11; total weight = 750; speed on 2% incline = 75.0; avg distance to dining = 1.6; closest engine to sleeper = 2

After calling the Separate function, the original train nodes are split/re-organized into two trains:

~~~~

||

—141 ——142 ——143 ——144 ——145

/ ENGINE | | | | | dine | | sleep |

-oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo-

#cars = 5; total weight = 350; speed on 2% incline = 80.4; avg distance to dining = 1.5; closest engine to sleeper = 4

~~~~

||

——146 ——147 —148 ——149 ——150 ——151

| sleep | | | / ENGINE | | | dine | | |

-oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo- + -oo—oo-

#cars = 6; total weight = 400; speed on 2% incline = 70.3; avg distance to dining = inf; closest engine to sleeper = 2

Because the original train in this example had an odd number of non-engine cars, we cannot make the two

trains exactly match the speed of the original. Note that not all equal-speed train separations are as simple

as cutting one link. Sometimes multiple links must be cut and cars must be pushed around the yard and

re-attached in a different configuration. Can you visualize those operations? Draw pictures!

With physical train cars there are real costs associated with each link or unlink of a pair of neighboring cars

and with pushing cars around the train yard. The yard needs extra length of track, switches between the

tracks, and helper engines and extra staff to complete the operations. We will assume it costs 1 money unit

each to: unlink, link, or drag/shift a car one train length of track. We would like to minimize the total

2

cost of the reconfiguration, but still achieve the best speed-balanced separation of the original train. Note:

There may be multiple different equal-cost solutions for a specific problem! Your code may return any of these

solutions.

Draw at least three different test cases of challenging input to the Separate function. Also draw a corresponding

valid output configuration for each test case that minimizes the real physical costs associated with

the operations. IMPORTANT: Bring these drawings to Lab 7 – you will need to show these

drawings as part of the lab checkpoints.

First, focus on the implementation of the Separate function to handle all input trains with exactly 2 engines.

Your code should not create any new nodes. Your code should not edit the type of any TrainCar object.

We provide a helper function that counts the number of unlink/link operations and the length of track that

cars must be dragged or shifted to produce a specific separation result. Your first priority is to separate the

original train into two equal (or nearly equal) speed trains. Your second priority is to minimize the cost of

unlink, link, and shift operations necessary to complete the separation task. Once the code is working for

trains with two engines, you can extend it to work for input trains with more than two engines.

In the above example, note that after separation the passenger comfort values improved in one train but

worsened in the other train. In fact, the average distance to dining is now “infinite” because the passengers in

car 147 cannot reach the dining car. For extra credit, implement a SeparateComfort function that prioritizes

creating two equal speed but more comfortable trains (targeting smaller values for average distance to dining

and/or larger values for closest engine to sleeper). The unlink/link/shift cost will likely be greater than the

original Separate function. Add plenty of test cases to main.cpp to demonstrate the success of your extra

credit work.

Provided Framework, Implementation Requirements, Hints, & Suggestions

We provide the “traincar.h” file with the implementation of the TrainCar class. You are not allowed to

modify the traincar.h file. You will edit the “traincar_prototypes.h” file to complete several missing

function prototypes that operate on a train, a doubly linked list of TrainCar node objects. (Part of your

task for this homework is to deduce the exact function prototypes.) You will implement those functions in

the “traincar.cpp” file. We also provide the “main.cpp” file with the ASCII art PrintTrain function and

a variety of sample tests of the different functions. We use the MersenneTwister pseudo-random number

generator (mtrand.h and mtrand.cpp) — you do not need to understand the details of the MTRand class.

You should work on the assignment step-by-step, uncommenting each test case in main.cpp as you work.

You are encouraged to use simple recursion to implement some of the functions for this homework. Compile,

test, and fully debug each step before moving on to the next piece of implementation work. You should not

modify the provided code except where indicated, as we will be compiling and testing your submitted files

with different portions of the instructor solution file. To earn full credit on this homework, your code must

also pass the memory error and memory leak checks by Dr. Memory.

Other than the return value of the ShipFreight function and test cases in main.cpp, you will not use

arrays, STL vectors, STL lists, iterators, or other STL containers in this assignment. Instead, you will be

manipulating the low-level custom TrainCar objects, and the pointers that link TrainCars to each other.

Submission

Use good coding style and detailed comments when you design and implement your program. You must do

this assignment on your own, as described in the “Collaboration Policy & Academic Integrity” handout. If

you did discuss this assignment, problem solving techniques, or error messages, etc. with anyone, please list

their names in your README.txt file.