描述
在 O(n log n) 时间复杂度和常数级的空间复杂度下给链表排序。
您在真实的面试中是否遇到过这个题?
样例
给出 1->3->2->null
,给它排序变成 1->2->3->null
.
挑战
分别用归并排序和快速排序做一遍。
这一题很明显用归并排序或者快速排序来做,但是这一题用归并排序来做有一个好处,在归并的时候不需要移动数组元素了,直接改一个指针就行,因此推荐归并排序。
归并排序算法是必须掌握而且必须能手写出来的,我就不讲解这个算法了。当然此处因为是对链表的操作有一些不同难一些:
class ListNode(object): def __init__(self, val, next=None): self.val = val self.next = next class Solution: """ @param head: The head of linked list. @return: You should return the head of the sorted linked list, using constant space complexity. """ def sortList(self, head): # write your code here if(head==None):return None def findmid(head): count=0 save=head while(head!=None): head=head.next count+=1 i=0 while(True): i+=1 if(i>=count/2):break save = save.next return save def merge(left,right): pre=ListNode(None) save=pre while(left!=None and right!=None): if(left.val<right.val): pre.next=left pre=left left=left.next else: pre.next=right pre=right right=right.next if(left==None): while(right!=None): pre.next = right pre = right right = right.next if(right==None): while(left!=None): pre.next = left pre = left left = left.next return save.next def mergeSort(head): if (head.next == None): return head mid = findmid(head) midn = mid.next mid.next = None left = mergeSort(head) right = mergeSort(midn) result = merge(left, right) return result result=mergeSort(head) return result node1 = ListNode(4) node2 = ListNode(3) node3=ListNode(2) node4 = ListNode(1) node1.next = node2 node2.next=node3 node3.next=node4 s = Solution() result = s.sortList(node1) while (result != None): print(result.val) result = result.next