Remove Duplicates from Unsorted List

Question

Write a removeDuplicates() function which takes a list and deletes
any duplicate nodes from the list. The list is not sorted.

For example if the linked list is 12->11->12->21->41->43->21,
then removeDuplicates() should convert the list to 12->11->21->41->43.

If temporary buffer is not allowed, how to solve it?

题解1 - 两重循环

Remove Duplicates 系列题,之前都是已排序链表,这个题为未排序链表。原题出自 CTCI 题2.1。

最容易想到的简单办法就是两重循环删除重复节点了,当前遍历节点作为第一重循环,当前节点的下一节点作为第二重循环。

Python

"""
Definition of ListNode
class ListNode(object):
    def __init__(self, val, next=None):
        self.val = val
        self.next = next
"""
class Solution:
    """
    @param head: A ListNode
    @return: A ListNode
    """
    def deleteDuplicates(self, head):
        if head is None:
            return None

        curr = head
        while curr is not None:
            inner = curr
            while inner.next is not None:
                if inner.next.val == curr.val:
                    inner.next = inner.next.next
                else:
                    inner = inner.next
            curr = curr.next

        return head

C++

/**
 * Definition of ListNode
 * class ListNode {
 * public:
 *     int val;
 *     ListNode *next;
 *     ListNode(int val) {
 *         this->val = val;
 *         this->next = NULL;
 *     }
 * }
 */
class Solution {
public:
    /**
     * @param head: The first node of linked list.
     * @return: head node
     */
    ListNode *deleteDuplicates(ListNode *head) {
        if (head == NULL) return NULL;

        ListNode *curr = head;
        while (curr != NULL) {
            ListNode *inner = curr;
            while (inner->next != NULL) {
                if (inner->next->val == curr->val) {
                    inner->next = inner->next->next;
                } else {
                    inner = inner->next;
                }
            }
            curr = curr->next;
        }

        return head;
    }
};

Java

/**
 * Definition for ListNode
 * public class ListNode {
 *     int val;
 *     ListNode next;
 *     ListNode(int x) {
 *         val = x;
 *         next = null;
 *     }
 * }
 */
public class Solution {
    /**
     * @param ListNode head is the head of the linked list
     * @return: ListNode head of linked list
     */
    public static ListNode deleteDuplicates(ListNode head) {
        if (head == null) return null;

        ListNode curr = head;
        while (curr != null) {
            ListNode inner = curr;
            while (inner.next != null) {
                if (inner.next.val == curr.val) {
                    inner.next = inner.next.next;
                } else {
                    inner = inner.next;
                }
            }
            curr = curr.next;
        }

        return head;
    }
}

源码分析

删除链表的操作一般判断node.next较为合适,循环时注意inner = inner.nextinner.next = inner.next.next的区别即可。

复杂度分析

两重循环,时间复杂度为 O(12n2)O(\frac{1}{2}n^2), 空间复杂度近似为 O(1)O(1).

题解2 - 万能的 hashtable

使用辅助空间哈希表,节点值作为键,布尔值作为相应的值(是否为布尔值其实无所谓,关键是键)。

Python

"""
Definition of ListNode
class ListNode(object):
    def __init__(self, val, next=None):
        self.val = val
        self.next = next
"""
class Solution:
    """
    @param head: A ListNode
    @return: A ListNode
    """
    def deleteDuplicates(self, head):
        if head is None:
            return None

        hash = {}
        hash[head.val] = True
        curr = head
        while curr.next is not None:
            if hash.has_key(curr.next.val):
                curr.next = curr.next.next
            else:
                hash[curr.next.val] = True
                curr = curr.next

        return head

C++

/**
 * Definition of ListNode
 * class ListNode {
 * public:
 *     int val;
 *     ListNode *next;
 *     ListNode(int val) {
 *         this->val = val;
 *         this->next = NULL;
 *     }
 * }
 */
class Solution {
public:
    /**
     * @param head: The first node of linked list.
     * @return: head node
     */
    ListNode *deleteDuplicates(ListNode *head) {
        if (head == NULL) return NULL;

        // C++ 11 use unordered_map
        // unordered_map<int, bool> hash;
        map<int, bool> hash;
        hash[head->val] = true;
        ListNode *curr = head;
        while (curr->next != NULL) {
            if (hash.find(curr->next->val) != hash.end()) {
                ListNode *temp = curr->next;
                curr->next = curr->next->next;
                delete temp;
            } else {
                hash[curr->next->val] = true;
                curr = curr->next;
            }
        }

        return head;
    }
};

Java

/**
 * Definition for ListNode
 * public class ListNode {
 *     int val;
 *     ListNode next;
 *     ListNode(int x) {
 *         val = x;
 *         next = null;
 *     }
 * }
 */
public class Solution {
    /**
     * @param ListNode head is the head of the linked list
     * @return: ListNode head of linked list
     */
    public static ListNode deleteDuplicates(ListNode head) {
        if (head == null) return null;

        ListNode curr = head;
        HashMap<Integer, Boolean> hash = new HashMap<Integer, Boolean>();
        hash.put(curr.val, true);
        while (curr.next != null) {
            if (hash.containsKey(curr.next.val)) {
                curr.next = curr.next.next;
            } else {
                hash.put(curr.next.val, true);
                curr = curr.next;
            }
        }

        return head;
    }
}

源码分析

删除链表中某个节点的经典模板在while循环中体现。

复杂度分析

遍历一次链表,时间复杂度为 O(n)O(n), 使用了额外的哈希表,空间复杂度近似为 O(n)O(n).

Reference

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