Remove Duplicates from Sorted List II

本文介绍如何从有序链表中删除重复元素。重点在于处理头节点可能为重复值的情况,以及在不同重复模式下如何移动多个指针。通过分析不同情况,如1->2->2->3和1->1->1,提出了使用p、q、r三个指针的解决方案,详细解释了何时移动这些指针来实现删除重复元素的操作。

将有序链表中的重复元素全部删除,比如1->2->2->3结果是1->3,1->1->1结果是空。

1、我们先新建ListNode节点

public class ListNode
{
	int val;
	ListNode next;

	ListNode(int x)
	{
		val = x;
		next = null;
	}
}

2、为了方便测试,我们再新建List表,当输入-100时,退出循环。

public class List
{
	ListNode head,tail;
	int length;
	List()
	{
		head=null;
		tail=null;
	}
	public boolean isEmpty()//判断链表是否为真
	{
		return head==null;
	}
	
	public void addHead(int val)
	{
		head=new ListNode(val);
		head.next=null;
		if(tail==null)tail=head;
	}
	
	public void addToTail(int val)
	{
		if(!isEmpty())
		{
			tail.next=new ListNode(val);
			tail=tail.next;
		}
		else
		{
			head=tail=new ListNode(val);
		}
	}
	
	public void print(ListNode head)
	{
		ListNode p=head;
		while(p!=null)
		{
			System.out.print(p.val+" ");
			p=p.next;
		}
	}
	
	public ListNode createList()
	{
		Scanner sc=new Scanner(System.in);
		int number;
		while(sc.hasNext())
		{
			number=sc.nextInt();
			if(number==-100)break;
			else
			{
				addToTail(number);
			}
		}
		return head;
	}
}
3、接下来就是分析算法

这题的难点在1、如果重复元素出现在开头,我们就需要修改头指针。

                        2、如果中间重现不同的重复元素,如1->2->2->3->3->3->4->4,也就是假如在1的地方有一个指针,那该指针在遇到什么情况下才移动呢。

                        3、该题会设计到多个指针的使用,会有结尾元素单独处理的情况。

笔者解决该题思路是:1、我们首先解决头指针需要修改的情况,也就是head.val==head.next.val

                                        2、head指针不需要动了之后,p=head,q=head.next,r=q.next,那接下来,我们就需要判断p在什么情况下移动就可以了。

                                        如下图分析:

                                       

不管在什么情况下q、r指针都要移动。p移动的情况如下:

1、p.val!=q.val&&q.val!=r.val(p.next=q)(1->2->3->3的情况)                                                                                                                

 2、如上图q.val!=r.val&&r.val!=r.next.val(p.next!=q)

好,分析到这,接下来我们可以写程序了。

程序如下:

/**
 * Definition for singly-linked list.
 * public class ListNode {
 *     int val;
 *     ListNode next;
 *     ListNode(int x) {
 *         val = x;
 *         next = null;
 *     }
 * }
 */
public class Solution {
   public ListNode deleteDuplicates(ListNode head)
	{
	if (head == null || head.next == null)
			return head;
		ListNode p = head;
		ListNode q = head.next;

		if (head.val == head.next.val)
		{
			while (q.next != null)
			{
				if (p.val != q.val && q.val != q.next.val)
				{
					head = q;
					p = q;
					q = q.next;
					break;
				}
				p = q;
				q = q.next;
			}
		}
		if (p.val == q.val)
			return null;
		else
		{
			if (q.next == null)
			{
				if (head.next != q)
					return q;
				else
				{
					return head;
				}
			}

		}
                //上面代码是修改头指针
                ListNode r = q.next;
		while (r.next != null)
		{
			if (p.val != q.val && q.val != r.val)
			{
				 if (p.next == q)
  					p = q;
                                 else{
                                      if (r.val != r.next.val)
                                             p.next=r;
                                      }					
			}
			q = r;
			r = r.next;
		}
		if (q.val == r.val)
			p.next = null;
		else
		{
			if (p.next != q)
				p.next = r;
		}
		return head;
	}
}




1. Two Sum 2. Add Two Numbers 3. Longest Substring Without Repeating Characters 4. Median of Two Sorted Arrays 5. Longest Palindromic Substring 6. ZigZag Conversion 7. Reverse Integer 8. String to Integer (atoi) 9. Palindrome Number 10. Regular Expression Matching 11. Container With Most Water 12. Integer to Roman 13. Roman to Integer 14. Longest Common Prefix 15. 3Sum 16. 3Sum Closest 17. Letter Combinations of a Phone Number 18. 4Sum 19. Remove Nth Node From End of List 20. Valid Parentheses 21. Merge Two Sorted Lists 22. Generate Parentheses 23. Swap Nodes in Pairs 24. Reverse Nodes in k-Group 25. Remove Duplicates from Sorted Array 26. Remove Element 27. Implement strStr() 28. Divide Two Integers 29. Substring with Concatenation of All Words 30. Next Permutation 31. Longest Valid Parentheses 32. Search in Rotated Sorted Array 33. Search for a Range 34. Find First and Last Position of Element in Sorted Array 35. Valid Sudoku 36. Sudoku Solver 37. Count and Say 38. Combination Sum 39. Combination Sum II 40. First Missing Positive 41. Trapping Rain Water 42. Jump Game 43. Merge Intervals 44. Insert Interval 45. Unique Paths 46. Minimum Path Sum 47. Climbing Stairs 48. Permutations 49. Permutations II 50. Rotate Image 51. Group Anagrams 52. Pow(x, n) 53. Maximum Subarray 54. Spiral Matrix 55. Jump Game II 56. Merge k Sorted Lists 57. Insertion Sort List 58. Sort List 59. Largest Rectangle in Histogram 60. Valid Number 61. Word Search 62. Minimum Window Substring 63. Unique Binary Search Trees 64. Unique Binary Search Trees II 65. Interleaving String 66. Maximum Product Subarray 67. Binary Tree Inorder Traversal 68. Binary Tree Preorder Traversal 69. Binary Tree Postorder Traversal 70. Flatten Binary Tree to Linked List 71. Construct Binary Tree from Preorder and Inorder Traversal 72. Construct Binary Tree from Inorder and Postorder Traversal 73. Binary Tree Level Order Traversal 74. Binary Tree Zigzag Level Order Traversal 75. Convert Sorted Array to Binary Search Tree 76. Convert Sorted List to Binary Search Tree 77. Recover Binary Search Tree 78. Sum Root to Leaf Numbers 79. Path Sum 80. Path Sum II 81. Binary Tree Maximum Path Sum 82. Populating Next Right Pointers in Each Node 83. Populating Next Right Pointers in Each Node II 84. Reverse Linked List 85. Reverse Linked List II 86. Partition List 87. Rotate List 88. Remove Duplicates from Sorted List 89. Remove Duplicates from Sorted List II 90. Intersection of Two Linked Lists 91. Linked List Cycle 92. Linked List Cycle II 93. Reorder List 94. Binary Tree Upside Down 95. Binary Tree Right Side View 96. Palindrome Linked List 97. Convert Binary Search Tree to Sorted Doubly Linked List 98. Lowest Common Ancestor of a Binary Tree 99. Lowest Common Ancestor of a Binary Search Tree 100. Binary Tree Level Order Traversal II
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