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Sort a linked list in O(n log n) time using constant space complexity.
分析:
常量空间且O(nlogn)时间复杂度,单链表适合用归并排序,双向链表适合用快速排序
有一个问题是:若算上栈空间,空间复杂度也为O(nogn)
还是对排序算法不够熟练!!
1 struct ListNode 2 { 3 int val; 4 ListNode *next; 5 ListNode(int x):val(x),next(NULL){} 6 }; 7 class Solution 8 { 9 public: 10 ListNode* sortList(ListNode* head) 11 {//单链表排序:要求时间复杂度为O(nlogn),空间复杂度为O(1) 12 if(head == NULL || head->next == NULL)//终止条件 13 return head; 14 15 //快慢指针找到中间节点 16 ListNode *fast = head; 17 ListNode *slow = head; 18 //将链表分为两段,因为fast快,所以以它为判断条件 19 while(fast->next != NULL && fast->next->next != NULL) 20 { 21 slow = slow->next; 22 fast = fast->next->next; 23 } 24 25 ListNode *second = slow->next; 26 slow->next = NULL;//断开链表 27 //错:sortList(head); 28 //错:sortList(second); 29 //错:MergeSortedList(head, second); 30 //错:return head; 31 ListNode *l1= sortList(head); 32 ListNode *l2 = sortList(second); 33 return MergeSortedList(l1, l2); 34 } 35 36 ListNode* MergeSortedList(ListNode *first, ListNode *second) 37 { 38 if(first == NULL) 39 return second; 40 if(second == NULL) 41 return first; 42 43 ListNode *head, *current; 44 if(first->val <= second->val) 45 { 46 head = first; 47 first = first->next; 48 } 49 else 50 { 51 head = second; 52 second = second->next; 53 } 54 current = head; 55 56 while(first!= NULL && second != NULL) 57 { 58 if(first->val <= second->val) 59 { 60 current->next = first; 61 first = first->next; 62 } 63 else 64 { 65 current->next = second; 66 second = second->next; 67 } 68 current = current->next; 69 } 70 /* //注意与合并有序数组的区别
71 while(first != NULL) 72 { 73 current->next = first; 74 first = first->next; 75 current = current->next; 76 } 77 while(second != NULL) 78 { 79 current->next = second; 80 second = second->next; 81 current = current->next; 82 } 83 */ 84 if(first) 85 current->next = first; 86 if(second) 87 current->next = second; 88 89 return head; 90 } 91 };
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原文地址:http://www.cnblogs.com/dreamrun/p/4528182.html