# Doubly Linked List Lesson xx - PowerPoint PPT Presentation

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Doubly Linked List Lesson xx. Objectives. Doubly linked list concept Node structure Insertion sort Insertion sort program with a doubly linked list. Illustration of a Doubly Linked List. Head. 0. a. b. c. d. e. 0. Node Structure for a Doubly Linked List Node. struct node {

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### Objectives

• Node structure

• Insertion sort

• Insertion sort program with a doubly linked list

0

a

b

c

d

e

0

struct node

{

node * prev;

intval;

node * next;

};

7

### Program Description

Ask the use to enter an integer

Store the # in one node of a doubly linked list

Repeat steps 1 & 2 until the user enters ‘s’ to terminate input

Use the insertion sort to sort the #s that are in the doubly linked list

Print out the sorted list

Fig. 1

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Fig. 2

### Insertion Sort Logic

1) Place a pointer called out on the node that we want to insert. (When we 1st start, out is placed on the next to the last node.

2) Place a pointer called in one node to the right of out.

3) Compare the # to be inserted with the contents of what is pointed to by in.

4) If the # to be sorted is less than what is pointed to by in, swap the contents and move in, one node to the right

5) When in is at the end of the list or the # to be sorted is > than what is pointed to in, we have inserted the # into the correct position and it’s time to move out, 1 node to the left and repeat steps 2-5.

### Insertion Sort Illustration 1

We’ll use the insertion sort to rearrange the following list of #s in descending order:

52 7 38

Place a pointer called out on the next to the last #

Place a pointer called in, one node to the right of out

52 7 38

out in

Consider the last # (8) to be the sorted list & 3 is the # we want to insert into the sorted list.

5.If the # pointed to by out (3) < the # pointed to by in, swap them. Now you get the following picture

52 783

out in

### Insertion Sort Illustration 2

After swapping the #s, move in one node to the right

52 783

out in

7. When in is off the list, this means that we have inserted the # 3 in the correct position

8.Move out, 1 node to the left and place in 1 node to the right of out

52 783

out in

9.All the nodes to the right of out are sorted in descending order. Now we are going to insert 7 into the list

10.Since 7 is < 8, we need to swap the numbers and also move in one node to the right.

52 873

out in

### Insertion Sort Illustration 3

11. .Compare 7 and 3. 7 is > 3 so we have inserted 7 in to the correct position in the list.

52 873

out in

12. The #s from out and to the right are now sort in descending order. 8, 7 ,3. Next step is to move out 1 node to the left and place in 1 node to the right of out.

52 873

out in

13. We are going to insert 2 in to the sorted list. You can see that in keeps moving to the right until the # is in the correct position or in is off the list. Out always moves to the left and points to the # we want to insert into the list. This procedure is continues until out points to a null. Then, the list is in descending order.

### Program Listing Part 1

#include <iostream> using std::cin; using std::cout; using std::flush; using std::endl;

#include <cstdlib>

struct node { node* prev;int value;   node* next; };

void printList(const node*);

### Program Listing Part 2

int main() {   char str[15];

cout<<"enter a number";

cin>>str;

while(str[0]!='s')

{

tail->value=atoi (str);

tail‑>next=new node;

tail‑>next‑>prev=tail;

tail=tail‑>next;

cout<<"enter a number";

cin>>str;

}

tail‑>next=0;

### Program Listing Part 3

node* in;

node* out;

int temp;

out=tail‑>prev‑>prev;

while(out!=0)

{

temp=out‑>value;

in=out‑>next;

while(in‑>next!=0&&temp<in‑>value)

{

in‑>prev‑>value=in‑>value;

in‑>value=temp;

in=in‑>next;

}

out=out‑>prev;

}

printList(head); // print list   return 0; }

### Program Listing Part 4

void printList(const node* h) {   for (const node* p = h; p; p = p->next)   {

cout << "node address: " << p << “ prev “ <<

p->prev   << " value " << p->value       << " next " << p->next << endl;   } }

### Preprocessor Directives, Node Definition & Function Prototype

#include <iostream> using std::cin; using std::cout; using std::flush; using std::endl;

#include <cstdlib>

struct node { node* prev;int value;   node* next; };

void printList(const node*);

### Declarations, Initialization and Priming Read

int main() { char str[15];

cout<<"enter a number";

cin>>str;

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str

“5”

tail

### Start Building the Doubly Linked List

while(str[0]!='s')

{

tail->value=atoi (str);

tail‑>next=new node;

tail‑>next‑>prev=tail;

tail=tail‑>next;

cout<<"enter a number";

cin>>str;

}

tail‑>next=0;

0

5

str

“5”

tail

### Connect 2nd Node to 1st

while(str[0]!='s')

{

tail->value=atoi (str);

tail‑>next=new node;

tail‑>next‑>prev=tail;

tail=tail‑>next;

cout<<"enter a number";

cin>>str;

}

tail‑>next=0;

0

5

str

“5”

tail

while(str[0]!='s')

{

tail->value=atoi (str);

tail‑>next=new node;

tail‑>next‑>prev=tail;

tail=tail‑>next;

cout<<"enter a number";

cin>>str;

}

tail‑>next=0;

0

5

str

“2”

tail

while(str[0]!='s')

{

tail->value=atoi (str);

tail‑>next=new node;

tail‑>next‑>prev=tail;

tail=tail‑>next;

cout<<"enter a number";

cin>>str;

}

tail‑>next=0;

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0

tail

### Insertion Sort Logic

1) Place a pointer called out on the node that we want to insert. (When we 1st start out is placed on the next to the last node.

2) Place a pointer called in one node to the right of out.

3) Compare the # to be inserted with the contents of what is pointed to by in.

4) If the # to be sorted is less than what is pointed to by in, swap the contents and move in, one node to the right

5) When in is at the end of the list or the # to be sorted is > than what is pointed to in, we have inserted the # into the correct position and it’s time to move out, 1 node to the left and repeat steps 2-5.

### Basic Code Outline

while(out!=0)

{

. . .

while(# to be inserted is in the wrong spot)

{

. . .

in=in‑>next; //move in one node to the right

}

out=out‑>prev; //move out one node to the left

}

### Set Up Pointers for Insertion Sort

node* in;

node* out;

int temp;

out=tail‑>prev‑>prev;

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tail

out

### Set Up in & temp

while (out!=0)

{

temp=out‑>value;

in=out‑>next;

while(in‑>next!=0&&temp<in‑>value)

{

in‑>prev‑>value=in‑>value;

in‑>value=temp;

in=in‑>next;

}

out=out‑>prev;

}

temp

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tail

out

in

### See If # is in Correct Position

while (out!=0)

{

temp=out‑>value;

in=out‑>next;

while(in‑>next !=0 && temp < in‑>value)

{

in‑>prev‑>value=in‑>value;

in‑>value=temp;

in=in‑>next;

}

out=out‑>prev;

}

temp

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out

in

### Swap

while (out!=0)

{

temp=out‑>value;

in=out‑>next;

while(in‑>next !=0 && temp< in‑>value)

{

in‑>prev‑>value=in‑>value;

in‑>value=temp;

in=in‑>next;

}

out=out‑>prev;

}

temp

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in

out

### Insert Next # 7 into List

while (out!=0)

{

temp=out‑>value;

in=out‑>next;

while(in‑>next !=0 && temp< in‑>value)

{

in‑>prev‑>value=in‑>value;

in‑>value=temp;

in=in‑>next;

}

out=out‑>prev;

}

temp

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out

in

### Inner Loop the 2nd Time

while (out!=0)

{

temp=out‑>value;

in=out‑>next;

while(in‑>next !=0 && temp< in‑>value)

{

in‑>prev‑>value=in‑>value;

in‑>value=temp;

in=in‑>next;

}

out=out‑>prev;

}

temp

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tail

out

in

### Insert Next # 2 into List

while (out!=0)

{

temp=out‑>value;

in=out‑>next;

while(in‑>next !=0 && temp< in‑>value)

{

in‑>prev‑>value=in‑>value;

in‑>value=temp;

in=in‑>next;

}

out=out‑>prev;

}

temp

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out

in

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temp

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out= 0

in