Sort a linked list in O(n log n) time using constant space complexity.
本题利用归并排序即可
归并排序的核心是将两部分合成一部分,
故开始要将链表分成两部分,利用快慢两个指针,当快指针跑到链表尾部时,慢指针恰好在中间,故可以将链表分成两部分
然后将两个链表合并,注意可以新建一个新节点,作为链表头结点,利用new新建节点后,要注意用delete删除节点,保持良好的编程习惯
#include <iostream> #include <vector> using namespace std; struct ListNode{ int val; ListNode *next; ListNode(int x):val(x), next(NULL){} }; void printList(ListNode* head){ while(head!=NULL){ cout<<"->"<<head->val; head = head->next; } cout<<endl; } ListNode *merge(ListNode *head1, ListNode *head2){ // cout<<"======"<<endl; // printList(head1); // printList(head2); // cout<<"----->"<<endl; if(head1 == NULL ) return head2; if(head2 == NULL) return head1; ListNode *mergeHead = new ListNode(-1); ListNode *pre = mergeHead; mergeHead->next = head1; while(head1!=NULL && head2 != NULL){ if(head1->val < head2->val) head1= head1->next; else{ ListNode *node = head2->next; head2->next = pre->next; pre->next = head2; head2 = node; } pre = pre->next; } if(head2!=NULL) pre->next = head; ListNode *res = mergeHead->next; delete mergeHead; return res; } ListNode *mergeSort(ListNode *head){ if(head == NULL || head->next == NULL) return head; ListNode *slow = head; ListNode *fast = head; while(fast->next != NULL && fast->next->next != NULL){ slow = slow->next; fast = fast->next->next; } ListNode* head2 = slow->next; slow->next = NULL; ListNode* head1 = head; head1 = mergeSort(head1); head2 = mergeSort(head2); return merge(head1,head2); } ListNode *sortList(ListNode *head){ return mergeSort(head); } int main(){ ListNode* head = new ListNode(3); ListNode* node1 = new ListNode(2); ListNode* node2 = new ListNode(4); head->next = node1; node1->next = node2; ListNode *a = sortList(head); cout<<"ans:"<<endl; printList(a); }
本题更复杂一点的是
给出两个无序链表,然后将其合并,
首先要做的事将无序链表排序,然后将两个有序链表合并