K merge sort list, return the list sorted combined. Please complexity analysis and description of the algorithm.
Example:
Input:
[
1-> 4-> 5,
1-> 3-> 4,
2-> 6
]
Output: 1-> 1-> 2-> 3-> 4-> 4-> 5-> 6
# Definition for singly-linked list.
# class ListNode(object):
# def __init__(self, x):
# self.val = x
# self.next = None
class Solution(object):
def mergeKLists(self, lists):
"""
:type lists: List[ListNode]
:rtype: ListNode
"""
if not lists:
return None
amount = len(lists)
interval = 1
while interval < amount:
for i in range(0, amount - interval, interval * 2):
lists[i] = self.merge2Lists(lists[i], lists[i + interval])
interval *= 2
return lists[0]
def merge2Lists(self, l1, l2):
head = point = ListNode(0)
while l1 and l2:
if l1.val < l2.val:
point.next = l1
l1 = l1.next
else:
point.next = l2
l2 = l2.next
point = point.next
if l1:
point.next=l1
else:
point.next=l2
return head.next