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Josephus Problem: Build the Circular Linked List

Published byBarnaby Beasley Modified over 9 years ago

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1 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; null head

2 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; null 1 head

3 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; 1 head

4 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; 1 tail head

5 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; 1 tail head

6 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; x null 1 tail head

7 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; x 2 null 1 tail head

8 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; x 2 1 tail head

9 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; x 2 1 tail head

10 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; x 2 1 tail head

11 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; x 2 1 tail head

12 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; x 2 1 tail null head

13 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; x 2 3 1 tail null head

14 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; x 2 3 1 tail head

15 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; x 2 3 1 tail head

16 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; x 2 3 1 tail head

17 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; x 2 3 1 tail head

18 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; 2 x 3 1 tail head null

19 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; 2 x 3 1 tail 4 head null

20 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; 2 x 3 1 tail 4 head

21 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; 2 x 3 1 tail 4 head

22 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; 2 x 3 1 tail 4 head

23 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; 2 3 1 4 head tail 5

24 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; 2 3 1 4 head tail 5 6

25 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; 2 3 1 4 head tail 5 6 7

26 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; 2 3 1 4 head tail 5 8 6 7

27 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; 2 3 1 4 head 9 tail 5 8 6 7

28 Josephus Problem: Build the Circular Linked List
public class Josephus { private static class Node { int val; Node next; } public static void main(String[] args) { int M = Integer.parseInt(args[0]); int N = Integer.parseInt(args[1]); Node head = new Node(); head.val = 1; head.next = head; Node tail = head; for (int i = 2; i <= N; i++) { Node x = new Node(); x.val = i; x.next = head; tail.next = x; tail = x; 2 3 1 4 head 9 tail 5 8 6 7 Done Building

29 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 9 5 8 6 7 M 5 N 9 % java Josephus 5 9

30 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 5 8 6 7 M 5 N 9 % java Josephus 5 9

31 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 5 8 6 7 M 5 N 9 % java Josephus 5 9

32 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 5 8 6 7 M 5 N 9 i 1 % java Josephus 5 9

33 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 5 8 6 7 M 5 N 9 i 1 % java Josephus 5 9

34 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 5 8 6 7 M 5 N 9 i 2 % java Josephus 5 9

35 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 5 8 6 7 M 5 N 9 i 2 % java Josephus 5 9

36 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 5 8 6 7 M 5 N 9 i 3 % java Josephus 5 9

37 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 5 8 6 7 M 5 N 9 i 3 % java Josephus 5 9

38 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 5 8 6 7 M 5 N 9 i 4 % java Josephus 5 9

39 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 5 8 6 7 M 5 N 9 i 4 % java Josephus 5 9

40 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 5 8 6 7 M 5 N 9 i 5 % java Josephus 5 9

41 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 5 8 6 7 M 5 N 9 % java Josephus 5 9 5

42 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 5 is effectively deleted 5 8 6 7 M 5 N 9 % java Josephus 5 9 5

43 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 8 6 7 M 5 N 9 % java Josephus 5 9 5

44 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 8 6 7 M 5 N 9 i 1 % java Josephus 5 9 5

45 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 8 6 7 M 5 N 9 i 1 % java Josephus 5 9 5

46 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 8 6 7 M 5 N 9 i 2 % java Josephus 5 9 5

47 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 8 6 7 M 5 N 9 i 2 % java Josephus 5 9 5

48 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 8 6 7 M 5 N 9 i 3 % java Josephus 5 9 5

49 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 8 6 7 M 5 N 9 i 3 % java Josephus 5 9 5

50 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 8 6 7 M 5 N 9 i 4 % java Josephus 5 9 5

51 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 8 6 7 M 5 N 9 i 4 % java Josephus 5 9 5

52 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 8 6 7 M 5 N 9 i 5 % java Josephus 5 9 5

53 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 8 6 7 M 5 N 9 % java Josephus 5 9 5 1

54 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 1 4 x 9 8 6 7 M 5 N 9 % java Josephus 5 9 5 1

55 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 4 x 9 8 6 7 M 5 N 9 % java Josephus 5 9 5 1

56 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 4 x 9 8 6 7 M 5 N 9 % java Josephus 5 9 5 1 7

57 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 3 x 9 8 6 M 5 N 9 % java Josephus 5 9

58 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 x 9 8 6 M 5 N 9 % java Josephus 5 9

59 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 x 9 8 M 5 N 9 % java Josephus 5 9

60 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); 2 x 8 M 5 N 9 % java Josephus 5 9

61 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); x 8 M 5 N 9 % java Josephus 5 9

62 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); x 8 M 5 N 9 % java Josephus 5 9

63 Josephus Problem: Kill Off Every Mth Person
Node x = tail; while (x != x.next) { for (int i = 1; i < M; i++) x = x.next; System.out.print(x.next.val + " "); x.next = x.next.next; } System.out.println(x.val); x Survivor 8 M 5 N 9 % java Josephus 5 9

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List class.head NULL _class Cell { void *object; Cell *next; public:... } _class List { Cell *head; public:... }

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Circular List Next field in the last node contains a pointer back to the first node rather than null pointer From any point in such a list it is possible.

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Queue, Deque, and Priority Queue Implementations Chapter 11 Copyright ©2012 by Pearson Education, Inc. All rights reserved.

Queue, Deque, and Priority Queue Implementations Chapter 11 Copyright ©2012 by Pearson Education, Inc. All rights reserved.
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13 X 11 Java Lecture 6 CS 1311X Self-Referential Structures Building a Queue 13 X 11.

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Programming Progamz pls. Importance VERY IMPORTANT.

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Linked Structures See Section 3.2 of the text.. First, notice that Java allows classes to be recursive, in the sense that a class can have an element.

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