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日期:2025-05-01 10:41


Twin-towers are common building style in largest cities such as Shenzhen. Figure 1 shows the pictures of the Xinghe twin Towers in Shenzhen.

The objective of this assignment is to implement functions of

1) Constructing a graph of a twin tower automatically (see Figure 2 and 3), and

2) Finding a shortest path between two offices in the Towers, e.g. from room A125 to room B923.

Figure 1. The twin-tower of Xinghe in Shenzhen.

2 shows the plane for the ground floor. There are 88 nodes in total at the floor, of which 4 nodes are used to connect Tower A and Tower B, and the at both ends of the building as well. Other 84 nodes are used to connect

Figure

  ground

   elevators

  office and corridors.

Node definitions

Node for office

(A/B) , by floor first letter is the name of the number(01-28), any number in

is room Nr. 20 at the first floor of floor of Tower B.

are numbering in a of name of (1-n), and then by room       The (A or B), while the last two digits are the room

Tower

rooms

Assignment 4 (Due, Wednesday April-30-2025) (40/100 points for assignments)

  numbers

room:

Office

format

 followed

number

rooms

  number

(1-28).

  Tower

between

is the floor A, or

For example A120 is room Nr. 25 at the 100th

in a

then by floor

   Tower

 Node for

name of     (A/B) (1-n) and then the AC1109, is the 9th

Node numbers for name of

Nodes in corridors are by the letter C (for

 format:

numbers

Tower

node number (1-14) from left to right. For node from left at the 11th floor of A tower.

: for both elevators are in a similar (A/B)       by the letter E (for then by floor

     followed

number(1-n).

B10025

 Tower

corridors:

followed

corridor

defined

Corridors),

corridor

defined

similar

format:

 number

 elevators

Nodes

example

 Elevators),

 

number

(1-n) and then elevator node number (1-2) from left to right. For example is the elevator on the left side at the 11th floor of B tower.

   BE1101,

    Figure 3 are only at other

Figure 2. The plane for the ground floor.

the for the floors 2nd - nth. The two towers

at the floor. There is no           A and B

shows

planes

connections

between

   available

ground

connection

between

Tower

 floors.

 Figure 3. Floor only. For other numbers.

Edge definitions

1) Nodesare all arcs are

for the 2nd - nth Node are for 2nd floor please use the         above to     the node

as     in   2and3.Itisan

floors.

shown

planes

floors,

define

  connected

Figures

numbers

format

mentioned

shown

 undirected

graph,

means

bidirectionally

connected.

2) The 3) The

are

for arcs arcs at the for arcs

as input

for arcs connecting an elevator node and a     nodes is 8. for other arcs are 5.

A2023-B21

weights

crossbeam

weights

variables

between

09,...). The Submissions

You need to develop the int

Input:

of the

path,int**

using the

FindShortestPath(std::string

connecting

A and B are 100. This is only for the two

floor.

two

it will travel floor by floor. This will make the

nodes

Tower

  bi-directional

elevator

ground

connecting

parameters

explanation

  connecting

across

crossbeams

A(n)23-B(n+1)09

example,

  10

4) The

5) The

6) For every 10th floors ( e.g. 10th, 20th , 40th , ...) in     A, there is a

floors,

weights

  start,

is for AEn2, the third row of n-1] is for BEn2. The

for

floor of a

nodes between two floors later in the     Arcs

two

(see

only one floor. For   in case to travel for

neighbor

function).

std::string

assignment

 -

(e.g. from

- B908, (e.g.

are the same as the

and AE101.

Tower

simple.

 weights weights

elevator

corridor

two-way

A(n)22

B(n-1)08

A1022

A2022-B1908),

    another

t

wo-way

crossbeam

between

A1023-B1109,

    elevator

   following

function

Dijkstra

algorithm.

   std::vector<std::string>&

eWeights

 starting

point.

 point.

the m is the

of

while the

);

end,

of the

start - is name of the

end - is the name of the end

eWeights - is a 4xm matrix that

for the nodes for each

row of the

arcs for the

of

BEn1, and

be very large at a

is possible to find the path via e.g. the

arcs The first

row is for nodes might so that it

weights

  elevator

contains

                     the

AEn1, n is the floor

of the

number

floors.

outward

 floor.

   matrix

eWeights[0][n-1]

contains

weights

outwards

    number,

second

  Output

elevator

eWeights[1][n-1]

eWeights[3][

particular

The value is the distance of the whole path (sum of all arcs in the path)

weights

particular

eWeights[2][n-1]

 elevator

  elevator,

  shortest

crossbeams.

  return

 std::vector<std::string>& path is a of the nodes of the path in order from the

Hints: The input “start” and “end” the floor in each You

holds the names of node.

the       about

vector

string,

  starting

includes

starting

strings

  numbers

Tower.

should

utilize

it to

your

information

create

graph.

   

Submission:

The codes in a single file or one     file (*.h) + one file NO       IS

Your score for this assignment is based on two parts:

Please

submit:

source

 source

(*.cpp).

OTHER

DOCUMENTS

header

NEEDED.

   1) Basic     30

2)

- Top 20%, full

-

20/50

Criteria: Your function can provide correct

It is based on 50/50

functionality

(50%).

    answers

within

performance

ranking.

21%-50%,

seconds.

 Performance

(50%).

 points,

40/50;

 -51%-75%,

30/50;

 Others


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