|
| 1 | +# Linked List |
| 2 | + |
| 3 | +From wikipedia |
| 4 | + |
| 5 | +> In computer science, a linked list is a linear collection of data elements whose order is not given by their physical placement in memory. Instead, each element points to the next. It is a data structure consisting of a collection of nodes which together represent a sequence. |
| 6 | +
|
| 7 | +## Time Complexity Analysis of Linked List |
| 8 | + |
| 9 | +INSERTION |
| 10 | + |
| 11 | +| Operation | Singly Linked List | Double Linked List | |
| 12 | +|-----------------|---------------------|---------------------| |
| 13 | +| Insert head | $O(1)$ | $O(1)$ | |
| 14 | +| Insert middle | $O(n)$ | $O(n)$ | |
| 15 | +| Insert tail | $O(n)$ | $O(1)$ | |
| 16 | + |
| 17 | +DELETION |
| 18 | + |
| 19 | +| Operation | Singly Linked List | Double Linked List | |
| 20 | +|-----------------|---------------------|---------------------| |
| 21 | +| Delete head | $O(1)$ | $O(1)$ | |
| 22 | +| Delete middle | $O(n)$ | $O(n)$ | |
| 23 | +| Delete tail | $O(n)$ | $O(1)$ | |
| 24 | + |
| 25 | +SEARCHING |
| 26 | + |
| 27 | +| Singly Linked List | Double Linked List | |
| 28 | +|---------------------|---------------------| |
| 29 | +| $O(n)$ | $O(n)$ | |
| 30 | + |
| 31 | +## Singly Linked List Implementation in Python |
| 32 | + |
| 33 | +```python |
| 34 | +# Implement using collections.deque |
| 35 | +from collections import deque |
| 36 | + |
| 37 | + |
| 38 | +linked_list = deque(['a','b','c','d','e']) # a -> b -> c -> d -> e -> None |
| 39 | +linked_list.append('f') # a -> b -> c -> d -> e -> f -> None |
| 40 | +linked_list.pop() # a -> b -> c -> d -> e -> None |
| 41 | +linked_list.appendleft('z') # z -> a -> b -> c -> d -> e -> None |
| 42 | +linked_list.popleft() # a -> b -> c -> d -> e -> None |
| 43 | + |
| 44 | +# Implement from scratch |
| 45 | +class LinkedList: |
| 46 | + def __init__(self, nodes=None): |
| 47 | + self.head = None |
| 48 | + if nodes is not None: |
| 49 | + node = Node(data=nodes.pop(0)) |
| 50 | + self.head = node |
| 51 | + for item in nodes: |
| 52 | + node.next = Node(data=item) |
| 53 | + node = node.next |
| 54 | + |
| 55 | + def __iter__(self): |
| 56 | + node = self.head |
| 57 | + while node is not None: |
| 58 | + yield node |
| 59 | + node = node.next |
| 60 | + |
| 61 | + def __repr__(self): |
| 62 | + node = self.head |
| 63 | + nodes = [] |
| 64 | + while node is not None: |
| 65 | + nodes.append(node.data) |
| 66 | + node = node.next |
| 67 | + nodes.append("None") |
| 68 | + return " -> ".join(nodes) |
| 69 | + |
| 70 | + def add_first(self, node): |
| 71 | + node.next = self.head |
| 72 | + self.head = node |
| 73 | + |
| 74 | + def add_last(self, node): |
| 75 | + if self.head is None: |
| 76 | + self.head = node |
| 77 | + return |
| 78 | + for current_node in self: |
| 79 | + pass |
| 80 | + current_node.next = node |
| 81 | + |
| 82 | +class Node: |
| 83 | + def __init__(self, data): |
| 84 | + self.data = data |
| 85 | + self.next = None |
| 86 | + |
| 87 | + def __repr__(self): |
| 88 | + return self.data |
| 89 | + |
| 90 | +linked_list = LinkedList(['b','c','d','e']) # b -> c -> d -> e -> None |
| 91 | +linked_list.add_first(Node("a")) # a -> b -> c -> d -> e -> None |
| 92 | +linked_list.add_last(Node("f")) # a -> b -> c -> d -> e -> f -> None |
| 93 | +``` |
| 94 | +## 🔗 Further Reading |
| 95 | + |
| 96 | +* [Linked Lists in Python](https://realpython.com/linked-lists-python/), realpython.com |
| 97 | +* ▶️ [Linked Lists Introduction](https://www.youtube.com/watch?v=-Yn5DU0_-lw&t=7s&ab_channel=WilliamFiset), WilliamFiset, 2017 |
| 98 | +* ▶️ [CS50 2018 - Lecture 4 - Linked Lists](https://www.youtube.com/watch?v=wh4TS7RJDTA), CS50, 2018 |
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