LeetCode:23. 合并K个排序链表(python)
合并 k 个排序链表,返回合并后的排序链表。请分析和描述算法的复杂度。
示例:
输入:
[
1->4->5,
1->3->4,
2->6
]
输出: 1->1->2->3->4->4->5->6
思路:
-
分治法
附代码(Python3):
class ListNode:
def __init__(self, x):
self.val = x
self.next = None
class Solution:
def mergeKLists(self, lists):
'''合并K个有序链表(分治法)'''
if not lists:
return None
n = len(lists)
interval = 1 # 间隔
while interval < n:
for i in range(0, n-interval, interval*2):
lists[i] = self.merge2Lists(lists[i], lists[i+interval])
interval *= 2 # 更新间隔
return lists[0]
def merge2Lists(self, l1, l2):
'''合并两个有序链表'''
res = cur = ListNode(None)
while l1 and l2:
if l1.val < l2.val:
cur.next = l1
l1 = l1.next
else:
cur.next = l2
l2 = l2.next
cur = cur.next
if l1:
cur.next = l1
else:
cur.next = l2
return res.next
def build_link(nums):
'''创建链表'''
res = cur = ListNode(None)
for i in nums:
cur.next = ListNode(i)
cur = cur.next
return res.next
# 创建链表列表
nums_li = [[1, 4, 5], [1, 3, 4], [2, 6]]
lists = []
for i in nums_li:
lists.append(build_link(i))
# 合并K个排序链表
test = Solution()
res = test.mergeKLists(lists)
while res:
print(res.val, end=' ')
res = res.next
print()
1 1 2 3 4 4 5 6