LinkedList系列

# LinkedList系列總結

24/27

[x] Easy

[x] Medium

[x] Hard

這種題,多畫圖,一步步來,確定哪個node指向哪個node就會好一點,之后把圖放上來,會更容易復習!

## 基礎

### dummyNode

適用于頭節點需要進行操作,增刪改,亦或者保存頭節點,不被后續操作改變

```python

dummy = ListNode(0)

dummy.next = head

curr = head

```

### reverseList

Iterative版本,簡要來說就是記錄下一節點,當前節點指向上一節點,同步移動上一節點和當前節點。最后的curr為空,prev為頭也就是最初鏈表的最后一個元素

```python

prev = None

curr = head

while curr:

nextNode = curr.next

curr.next = prev

prev = curr

curr = nextNode

return prev

```

Recursive版本的,一直到底,然后倒敘指針

```python

second = head.next

head.next = None

rest = self.reverseList(second)

second.next = head

return rest

```

變種1 92. Reverse Linked List II

除了移動節點之外,關鍵是鏈接頭和尾

```python

pre.next.next = curr //pre.next 為最初的頭,.next則鏈接后來的尾和最初的尾 1-2-3-4-5,1-4-3-2-5,2-5

pre.next = newHead // 1-4

```

### 快慢指針

用于檢測環和找中點,見于

141. Linked List Cycle

142. Linked List Cycle II

·234. Palindrome Linked List

```python

fast, slow = head, head

while fast and fast.next:

fast = fast.next.next

slow = slow.next

```

## Medium版本

·369. Plus One Linked List

·445. Add Two Numbers II

本質上用stack保存節點信息,然后不斷在前方添加節點

```python

node.val = add_value % 10

carry = ListNode(add_value / 10)

carry.next = node

node = carry

add_value /= 10

```

Merge,Move系列

·21. Merge Two Sorted Lists

·328. Odd Even Linked List

·86. Partition List

```python

curr = dummy

while l1 and l2:

if l1.val < l2.val:

curr.next = l1

l1 = l1.next

else:

curr.next = l2

l2 = l2.next

curr = curr.next

```

保證兩個list都存在,然后剩余的append在后面;然后移動節點的過程中要數好步伐`while even and even.next:`

·160. Intersection of Two Linked Lists

·19. Remove Nth Node From End of List

`61. Rotate List

trick的地方是找到最后一個node,并且鏈接第一個,使用常用模版,不過稍加改動,因為要找到最后一個node而不是長度,所以要提前終止循環

```python

length = 1

while curr.next:

curr = curr.next

length += 1

curr.next = head

move = length-1-k%length

```

綜合

`143. Reorder List

結合 以上多種方法,快慢指針找中點,反轉,merge

```python

mid = self.findMiddle(head)

tail = self.reverse(mid.next)

mid.next = None

self.merge(head, tail)

```

`23. Merge k Sorted Lists

一種方法是利用merge two list然后不斷divide and conquer,另外一種比較簡潔的是利用PriorityQueue,然后不斷put和poll()進而每一個node都是所有優先隊列中最小的一個

```python

q = PriorityQueue()

for node in lists:

if node: ## empty

q.put((node.val, node))

while q.qsize():

curr.next = q.get()[1]

curr = curr.next

if curr.next:

q.put((curr.next.val, curr.next))

```

`82. Remove Duplicates from Sorted List II

因為要移除所有重復的node,所以勢必要prev保存上一節點,然后如果中間因為重復節點而curr!= prev.next,要把prev節點的next放到curr的next節點,因為curr為重復節點的最后一個

```python

while curr:

while curr.next and curr.val == curr.next.val: ## [1]

curr = curr.next

if prev.next != curr:

prev.next = curr.next

curr = prev.next

else:

prev = prev.next

curr = curr.next

```

`109. Convert Sorted List to Binary Search Tree

用helperfunction幫助,每一步找出子鏈表的中點,然后分別遞歸left和right節點。

```python

while fast!= tail and fast.next != tail:

fast = fast.next.next

slow = slow.next

root = TreeNode(slow.val)

root.left = self.helper(head, slow)

root.right = self.helper(slow.next, tail)

```

·148. Sort List

分治法,然后分別對子鏈表merge

```python

prev,fast, slow =? None, head, head

while fast and fast.next:

prev = slow

slow = slow.next

fast = fast.next.next

prev.next = None ## cut the middle

l1 = self.sortList(head)

l2 = self.sortList(slow)

return self.merge(l1, l2)

```

·24. Swap Nodes in Pairs

這道題勤畫圖,一步步來就好,iterative的方法比較煩,不過是`Reverse Nodes in k-Group`的簡化版,那道題是LinkedList集大成者

```python

while curr.next and curr.next.next:

first = curr.next? # 1

second = curr.next.next #2

first.next = second.next # 1-3

curr.next = second? #-2

curr.next.next = first? #2-1

curr = curr.next.next # 1

```

`25. Reverse Nodes in k-Group

這道題是一道典型的綜合題,適合復習備考多刷。它的子function是reverseList的改良,因為需要保存頭節點和尾節點,所以需要設置lastNode和nextNode,然后與之相對應的就是lastNode不斷和后面的節點進行調換。可以看看對比

```python

/*

* 0->1->2->3->4->5->6

* |? ? ? ? ? |

* pre? ? ? ? next

*

* after calling pre = reverse(pre, next)

*

* 0->3->2->1->4->5->6

*? ? ? ? ? |? |

*? ? ? ? ? pre next

*/

def reverseNode(self, pre, nextNode):

lastNode = pre.next

curr = lastNode.next

while curr != nextNode:

lastNode.next = curr.next

curr.next = pre.next

pre.next = curr

curr = lastNode.next

return lastNode

def reverseList(self, head):

if not head or not head.next:

return head

prev = None

curr = head

while curr:

nextNode = curr.next

curr.next = prev

prev = curr

curr = nextNode

return prev

```

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