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## 本章内容
- [16.1   编程环境安装](https://www.hello-algo.com/chapter_appendix/installation/)
- [16.2   一起参与创作](https://www.hello-algo.com/chapter_appendix/contribution/)
- [16.3   术语表](https://www.hello-algo.com/chapter_appendix/terminology/)
- [16.1   编程环境安装](installation.md)
- [16.2   一起参与创作](contribution.md)
- [16.3   术语表](terminology.md)

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## 本章内容
- [4.1   数组](https://www.hello-algo.com/chapter_array_and_linkedlist/array/)
- [4.2   链表](https://www.hello-algo.com/chapter_array_and_linkedlist/linked_list/)
- [4.3   列表](https://www.hello-algo.com/chapter_array_and_linkedlist/list/)
- [4.4   内存与缓存 *](https://www.hello-algo.com/chapter_array_and_linkedlist/ram_and_cache/)
- [4.5   小结](https://www.hello-algo.com/chapter_array_and_linkedlist/summary/)
- [4.1   数组](array.md)
- [4.2   链表](linked_list.md)
- [4.3   列表](list.md)
- [4.4   内存与缓存 *](ram_and_cache.md)
- [4.5   小结](summary.md)

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## 本章内容
- [13.1   回溯算法](https://www.hello-algo.com/chapter_backtracking/backtracking_algorithm/)
- [13.2   全排列问题](https://www.hello-algo.com/chapter_backtracking/permutations_problem/)
- [13.3   子集和问题](https://www.hello-algo.com/chapter_backtracking/subset_sum_problem/)
- [13.4   N 皇后问题](https://www.hello-algo.com/chapter_backtracking/n_queens_problem/)
- [13.5   小结](https://www.hello-algo.com/chapter_backtracking/summary/)
- [13.1   回溯算法](backtracking_algorithm.md)
- [13.2   全排列问题](permutations_problem.md)
- [13.3   子集和问题](subset_sum_problem.md)
- [13.4   N 皇后问题](n_queens_problem.md)
- [13.5   小结](summary.md)

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## 本章内容
- [2.1   算法效率评估](https://www.hello-algo.com/chapter_computational_complexity/performance_evaluation/)
- [2.2   迭代与递归](https://www.hello-algo.com/chapter_computational_complexity/iteration_and_recursion/)
- [2.3   时间复杂度](https://www.hello-algo.com/chapter_computational_complexity/time_complexity/)
- [2.4   空间复杂度](https://www.hello-algo.com/chapter_computational_complexity/space_complexity/)
- [2.5   小结](https://www.hello-algo.com/chapter_computational_complexity/summary/)
- [2.1   算法效率评估](performance_evaluation.md)
- [2.2   迭代与递归](iteration_and_recursion.md)
- [2.3   时间复杂度](time_complexity.md)
- [2.4   空间复杂度](space_complexity.md)
- [2.5   小结](summary.md)

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## 本章内容
- [3.1   数据结构分类](https://www.hello-algo.com/chapter_data_structure/classification_of_data_structure/)
- [3.2   基本数据类型](https://www.hello-algo.com/chapter_data_structure/basic_data_types/)
- [3.3   数字编码 *](https://www.hello-algo.com/chapter_data_structure/number_encoding/)
- [3.4   字符编码 *](https://www.hello-algo.com/chapter_data_structure/character_encoding/)
- [3.5   小结](https://www.hello-algo.com/chapter_data_structure/summary/)
- [3.1   数据结构分类](classification_of_data_structure.md)
- [3.2   基本数据类型](basic_data_types.md)
- [3.3   数字编码 *](number_encoding.md)
- [3.4   字符编码 *](character_encoding.md)
- [3.5   小结](summary.md)

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## 本章内容
- [12.1   分治算法](https://www.hello-algo.com/chapter_divide_and_conquer/divide_and_conquer/)
- [12.2   分治搜索策略](https://www.hello-algo.com/chapter_divide_and_conquer/binary_search_recur/)
- [12.3   构建树问题](https://www.hello-algo.com/chapter_divide_and_conquer/build_binary_tree_problem/)
- [12.4   汉诺塔问题](https://www.hello-algo.com/chapter_divide_and_conquer/hanota_problem/)
- [12.5   小结](https://www.hello-algo.com/chapter_divide_and_conquer/summary/)
- [12.1   分治算法](divide_and_conquer.md)
- [12.2   分治搜索策略](binary_search_recur.md)
- [12.3   构建树问题](build_binary_tree_problem.md)
- [12.4   汉诺塔问题](hanota_problem.md)
- [12.5   小结](summary.md)

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## 本章内容
- [14.1   初探动态规划](https://www.hello-algo.com/chapter_dynamic_programming/intro_to_dynamic_programming/)
- [14.2   DP 问题特性](https://www.hello-algo.com/chapter_dynamic_programming/dp_problem_features/)
- [14.3   DP 解题思路](https://www.hello-algo.com/chapter_dynamic_programming/dp_solution_pipeline/)
- [14.4   0-1 背包问题](https://www.hello-algo.com/chapter_dynamic_programming/knapsack_problem/)
- [14.5   完全背包问题](https://www.hello-algo.com/chapter_dynamic_programming/unbounded_knapsack_problem/)
- [14.6   编辑距离问题](https://www.hello-algo.com/chapter_dynamic_programming/edit_distance_problem/)
- [14.7   小结](https://www.hello-algo.com/chapter_dynamic_programming/summary/)
- [14.1   初探动态规划](intro_to_dynamic_programming.md)
- [14.2   DP 问题特性](dp_problem_features.md)
- [14.3   DP 解题思路](dp_solution_pipeline.md)
- [14.4   0-1 背包问题](knapsack_problem.md)
- [14.5   完全背包问题](unbounded_knapsack_problem.md)
- [14.6   编辑距离问题](edit_distance_problem.md)
- [14.7   小结](summary.md)

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## 本章内容
- [9.1   图](https://www.hello-algo.com/chapter_graph/graph/)
- [9.2   图基础操作](https://www.hello-algo.com/chapter_graph/graph_operations/)
- [9.3   图的遍历](https://www.hello-algo.com/chapter_graph/graph_traversal/)
- [9.4   小结](https://www.hello-algo.com/chapter_graph/summary/)
- [9.1   图](graph.md)
- [9.2   图基础操作](graph_operations.md)
- [9.3   图的遍历](graph_traversal.md)
- [9.4   小结](summary.md)

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## 本章内容
- [15.1   贪心算法](https://www.hello-algo.com/chapter_greedy/greedy_algorithm/)
- [15.2   分数背包问题](https://www.hello-algo.com/chapter_greedy/fractional_knapsack_problem/)
- [15.3   最大容量问题](https://www.hello-algo.com/chapter_greedy/max_capacity_problem/)
- [15.4   最大切分乘积问题](https://www.hello-algo.com/chapter_greedy/max_product_cutting_problem/)
- [15.5   小结](https://www.hello-algo.com/chapter_greedy/summary/)
- [15.1   贪心算法](greedy_algorithm.md)
- [15.2   分数背包问题](fractional_knapsack_problem.md)
- [15.3   最大容量问题](max_capacity_problem.md)
- [15.4   最大切分乘积问题](max_product_cutting_problem.md)
- [15.5   小结](summary.md)

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## 本章内容
- [6.1   哈希表](https://www.hello-algo.com/chapter_hashing/hash_map/)
- [6.2   哈希冲突](https://www.hello-algo.com/chapter_hashing/hash_collision/)
- [6.3   哈希算法](https://www.hello-algo.com/chapter_hashing/hash_algorithm/)
- [6.4   小结](https://www.hello-algo.com/chapter_hashing/summary/)
- [6.1   哈希表](hash_map.md)
- [6.2   哈希冲突](hash_collision.md)
- [6.3   哈希算法](hash_algorithm.md)
- [6.4   小结](summary.md)

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## 本章内容
- [8.1   堆](https://www.hello-algo.com/chapter_heap/heap/)
- [8.2   建堆操作](https://www.hello-algo.com/chapter_heap/build_heap/)
- [8.3   Top-k 问题](https://www.hello-algo.com/chapter_heap/top_k/)
- [8.4   小结](https://www.hello-algo.com/chapter_heap/summary/)
- [8.1   堆](heap.md)
- [8.2   建堆操作](build_heap.md)
- [8.3   Top-k 问题](top_k.md)
- [8.4   小结](summary.md)

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## 本章内容
- [1.1   算法无处不在](https://www.hello-algo.com/chapter_introduction/algorithms_are_everywhere/)
- [1.2   算法是什么](https://www.hello-algo.com/chapter_introduction/what_is_dsa/)
- [1.3   小结](https://www.hello-algo.com/chapter_introduction/summary/)
- [1.1   算法无处不在](algorithms_are_everywhere.md)
- [1.2   算法是什么](what_is_dsa.md)
- [1.3   小结](summary.md)

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## 本章内容
- [0.1   关于本书](https://www.hello-algo.com/chapter_preface/about_the_book/)
- [0.2   如何使用本书](https://www.hello-algo.com/chapter_preface/suggestions/)
- [0.3   小结](https://www.hello-algo.com/chapter_preface/summary/)
- [0.1   关于本书](about_the_book.md)
- [0.2   如何使用本书](suggestions.md)
- [0.3   小结](summary.md)

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## 本章内容
- [10.1   二分查找](https://www.hello-algo.com/chapter_searching/binary_search/)
- [10.2   二分查找插入点](https://www.hello-algo.com/chapter_searching/binary_search_insertion/)
- [10.3   二分查找边界](https://www.hello-algo.com/chapter_searching/binary_search_edge/)
- [10.4   哈希优化策略](https://www.hello-algo.com/chapter_searching/replace_linear_by_hashing/)
- [10.5   重识搜索算法](https://www.hello-algo.com/chapter_searching/searching_algorithm_revisited/)
- [10.6   小结](https://www.hello-algo.com/chapter_searching/summary/)
- [10.1   二分查找](binary_search.md)
- [10.2   二分查找插入点](binary_search_insertion.md)
- [10.3   二分查找边界](binary_search_edge.md)
- [10.4   哈希优化策略](replace_linear_by_hashing.md)
- [10.5   重识搜索算法](searching_algorithm_revisited.md)
- [10.6   小结](summary.md)

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## 本章内容
- [11.1   排序算法](https://www.hello-algo.com/chapter_sorting/sorting_algorithm/)
- [11.2   选择排序](https://www.hello-algo.com/chapter_sorting/selection_sort/)
- [11.3   冒泡排序](https://www.hello-algo.com/chapter_sorting/bubble_sort/)
- [11.4   插入排序](https://www.hello-algo.com/chapter_sorting/insertion_sort/)
- [11.5   快速排序](https://www.hello-algo.com/chapter_sorting/quick_sort/)
- [11.6   归并排序](https://www.hello-algo.com/chapter_sorting/merge_sort/)
- [11.7   堆排序](https://www.hello-algo.com/chapter_sorting/heap_sort/)
- [11.8   桶排序](https://www.hello-algo.com/chapter_sorting/bucket_sort/)
- [11.9   计数排序](https://www.hello-algo.com/chapter_sorting/counting_sort/)
- [11.10   基数排序](https://www.hello-algo.com/chapter_sorting/radix_sort/)
- [11.11   小结](https://www.hello-algo.com/chapter_sorting/summary/)
- [11.1   排序算法](sorting_algorithm.md)
- [11.2   选择排序](selection_sort.md)
- [11.3   冒泡排序](bubble_sort.md)
- [11.4   插入排序](insertion_sort.md)
- [11.5   快速排序](quick_sort.md)
- [11.6   归并排序](merge_sort.md)
- [11.7   堆排序](heap_sort.md)
- [11.8   桶排序](bucket_sort.md)
- [11.9   计数排序](counting_sort.md)
- [11.10   基数排序](radix_sort.md)
- [11.11   小结](summary.md)

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## 本章内容
- [5.1   栈](https://www.hello-algo.com/chapter_stack_and_queue/stack/)
- [5.2   队列](https://www.hello-algo.com/chapter_stack_and_queue/queue/)
- [5.3   双向队列](https://www.hello-algo.com/chapter_stack_and_queue/deque/)
- [5.4   小结](https://www.hello-algo.com/chapter_stack_and_queue/summary/)
- [5.1   栈](stack.md)
- [5.2   队列](queue.md)
- [5.3   双向队列](deque.md)
- [5.4   小结](summary.md)

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## 本章内容
- [7.1   二叉树](https://www.hello-algo.com/chapter_tree/binary_tree/)
- [7.2   二叉树遍历](https://www.hello-algo.com/chapter_tree/binary_tree_traversal/)
- [7.3   二叉树数组表示](https://www.hello-algo.com/chapter_tree/array_representation_of_tree/)
- [7.4   二叉搜索树](https://www.hello-algo.com/chapter_tree/binary_search_tree/)
- [7.5   AVL 树 *](https://www.hello-algo.com/chapter_tree/avl_tree/)
- [7.6   小结](https://www.hello-algo.com/chapter_tree/summary/)
- [7.1   二叉树](binary_tree.md)
- [7.2   二叉树遍历](binary_tree_traversal.md)
- [7.3   二叉树数组表示](array_representation_of_tree.md)
- [7.4   二叉搜索树](binary_search_tree.md)
- [7.5   AVL 树 *](avl_tree.md)
- [7.6   小结](summary.md)

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In arrays, envision bricks snugly aligned, each resting seamlessly beside the next, creating a unified formation. Meanwhile, in linked lists, these bricks disperse freely, embraced by vines gracefully knitting connections between them.
## Chapter Contents
## Chapter contents
- [4.1   Array](https://www.hello-algo.com/en/chapter_array_and_linkedlist/array/)
- [4.2   Linked list](https://www.hello-algo.com/en/chapter_array_and_linkedlist/linked_list/)
- [4.3   List](https://www.hello-algo.com/en/chapter_array_and_linkedlist/list/)
- [4.4   Memory and cache](https://www.hello-algo.com/en/chapter_array_and_linkedlist/ram_and_cache/)
- [4.5   Summary](https://www.hello-algo.com/en/chapter_array_and_linkedlist/summary/)
- [4.1   Array](array.md)
- [4.2   Linked list](linked_list.md)
- [4.3   List](list.md)
- [4.4   Memory and cache](ram_and_cache.md)
- [4.5   Summary](summary.md)

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It guides us in exploring deeper within the the dimensions of time and space, seeking more elegant solutions.
## Chapter Contents
## Chapter contents
- [2.1   Algorithm efficiency assessment](https://www.hello-algo.com/en/chapter_computational_complexity/performance_evaluation/)
- [2.2   Iteration and recursion](https://www.hello-algo.com/en/chapter_computational_complexity/iteration_and_recursion/)
- [2.3   Time complexity](https://www.hello-algo.com/en/chapter_computational_complexity/time_complexity/)
- [2.4   Space complexity](https://www.hello-algo.com/en/chapter_computational_complexity/space_complexity/)
- [2.5   Summary](https://www.hello-algo.com/en/chapter_computational_complexity/summary/)
- [2.1   Algorithm efficiency assessment](performance_evaluation.md)
- [2.2   Iteration and recursion](iteration_and_recursion.md)
- [2.3   Time complexity](time_complexity.md)
- [2.4   Space complexity](space_complexity.md)
- [2.5   Summary](summary.md)

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They offer a blueprint for the orderly organization of data, upon which algorithms come to life.
## Chapter Contents
## Chapter contents
- [3.1   Classification of data structures](https://www.hello-algo.com/en/chapter_data_structure/classification_of_data_structure/)
- [3.2   Fundamental data types](https://www.hello-algo.com/en/chapter_data_structure/basic_data_types/)
- [3.3   Number encoding *](https://www.hello-algo.com/en/chapter_data_structure/number_encoding/)
- [3.4   Character encoding *](https://www.hello-algo.com/en/chapter_data_structure/character_encoding/)
- [3.5   Summary](https://www.hello-algo.com/en/chapter_data_structure/summary/)
- [3.1   Classification of data structures](classification_of_data_structure.md)
- [3.2   Fundamental data types](basic_data_types.md)
- [3.3   Number encoding *](number_encoding.md)
- [3.4   Character encoding *](character_encoding.md)
- [3.5   Summary](summary.md)

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Every encountering and parting leaves a unique mark on this vast network graph.
## Chapter Contents
## Chapter contents
- [9.1   Graph](https://www.hello-algo.com/en/chapter_graph/graph/)
- [9.2   Basic Graph Operations](https://www.hello-algo.com/en/chapter_graph/graph_operations/)
- [9.3   Graph Traversal](https://www.hello-algo.com/en/chapter_graph/graph_traversal/)
- [9.4   Summary](https://www.hello-algo.com/en/chapter_graph/summary/)
- [9.1   Graph](graph.md)
- [9.2   Basic Graph Operations](graph_operations.md)
- [9.3   Graph Traversal](graph_traversal.md)
- [9.4   Summary](summary.md)

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It understands how to compute index numbers, enabling swift retrieval of the desired book.
## Chapter Contents
## Chapter contents
- [6.1   Hash table](https://www.hello-algo.com/en/chapter_hashing/hash_map/)
- [6.2   Hash collision](https://www.hello-algo.com/en/chapter_hashing/hash_collision/)
- [6.3   Hash algorithm](https://www.hello-algo.com/en/chapter_hashing/hash_algorithm/)
- [6.4   Summary](https://www.hello-algo.com/en/chapter_hashing/summary/)
- [6.1   Hash table](hash_map.md)
- [6.2   Hash collision](hash_collision.md)
- [6.3   Hash algorithm](hash_algorithm.md)
- [6.4   Summary](summary.md)

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Among these peaks, the highest one always catches the eye first.
## Chapter Contents
## Chapter contents
- [8.1   Heap](https://www.hello-algo.com/en/chapter_heap/heap/)
- [8.2   Building a Heap](https://www.hello-algo.com/en/chapter_heap/build_heap/)
- [8.3   Top-k Problem](https://www.hello-algo.com/en/chapter_heap/top_k/)
- [8.4   Summary](https://www.hello-algo.com/en/chapter_heap/summary/)
- [8.1   Heap](heap.md)
- [8.2   Building a Heap](build_heap.md)
- [8.3   Top-k Problem](top_k.md)
- [8.4   Summary](summary.md)

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She invites you to a dance, follow her steps, and enter the world of algorithms full of logic and beauty.
## Chapter Contents
## Chapter contents
- [1.1   Algorithms are everywhere](https://www.hello-algo.com/en/chapter_introduction/algorithms_are_everywhere/)
- [1.2   What is an algorithm](https://www.hello-algo.com/en/chapter_introduction/what_is_dsa/)
- [1.3   Summary](https://www.hello-algo.com/en/chapter_introduction/summary/)
- [1.1   Algorithms are everywhere](algorithms_are_everywhere.md)
- [1.2   What is an algorithm](what_is_dsa.md)
- [1.3   Summary](summary.md)

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May this book ring softly in your mind, leaving a unique and profound melody.
## Chapter Contents
## Chapter contents
- [0.1   About this book](https://www.hello-algo.com/en/chapter_preface/about_the_book/)
- [0.2   How to read](https://www.hello-algo.com/en/chapter_preface/suggestions/)
- [0.3   Summary](https://www.hello-algo.com/en/chapter_preface/summary/)
- [0.1   About this book](about_the_book.md)
- [0.2   How to read](suggestions.md)
- [0.3   Summary](summary.md)

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They represent the logical relationships of Last-In-First-Out (LIFO) and First-In-First-Out (FIFO), respectively.
## Chapter Contents
## Chapter contents
- [5.1   Stack](https://www.hello-algo.com/en/chapter_stack_and_queue/stack/)
- [5.2   Queue](https://www.hello-algo.com/en/chapter_stack_and_queue/queue/)
- [5.3   Double-ended queue](https://www.hello-algo.com/en/chapter_stack_and_queue/deque/)
- [5.4   Summary](https://www.hello-algo.com/en/chapter_stack_and_queue/summary/)
- [5.1   Stack](stack.md)
- [5.2   Queue](queue.md)
- [5.3   Double-ended queue](deque.md)
- [5.4   Summary](summary.md)

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It vividly demonstrates the form of data divide-and-conquer.
## Chapter Contents
## Chapter contents
- [7.1   Binary Tree](https://www.hello-algo.com/en/chapter_tree/binary_tree/)
- [7.2   Binary Tree Traversal](https://www.hello-algo.com/en/chapter_tree/binary_tree_traversal/)
- [7.3   Array Representation of Tree](https://www.hello-algo.com/en/chapter_tree/array_representation_of_tree/)
- [7.4   Binary Search Tree](https://www.hello-algo.com/en/chapter_tree/binary_search_tree/)
- [7.5   AVL Tree *](https://www.hello-algo.com/en/chapter_tree/avl_tree/)
- [7.6   Summary](https://www.hello-algo.com/en/chapter_tree/summary/)
- [7.1   Binary Tree](binary_tree.md)
- [7.2   Binary Tree Traversal](binary_tree_traversal.md)
- [7.3   Array Representation of Tree](array_representation_of_tree.md)
- [7.4   Binary Search Tree](binary_search_tree.md)
- [7.5   AVL Tree *](avl_tree.md)
- [7.6   Summary](summary.md)

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@ -7,8 +7,8 @@ icon: material/help-circle-outline
![附錄](../assets/covers/chapter_appendix.jpg){ class="cover-image" }
## Chapter Contents
## 本章內容
- [16.1   程式設計環境安裝](https://www.hello-algo.com/en/chapter_appendix/installation/)
- [16.2   一起參與創作](https://www.hello-algo.com/en/chapter_appendix/contribution/)
- [16.3   術語表](https://www.hello-algo.com/en/chapter_appendix/terminology/)
- [16.1   程式設計環境安裝](installation.md)
- [16.2   一起參與創作](contribution.md)
- [16.3   術語表](terminology.md)

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@ -13,10 +13,10 @@ icon: material/view-list-outline
陣列的磚塊整齊排列,逐個緊貼。鏈結串列的磚塊分散各處,連線的藤蔓自由地穿梭於磚縫之間。
## Chapter Contents
## 本章內容
- [4.1   陣列](https://www.hello-algo.com/en/chapter_array_and_linkedlist/array/)
- [4.2   鏈結串列](https://www.hello-algo.com/en/chapter_array_and_linkedlist/linked_list/)
- [4.3   串列](https://www.hello-algo.com/en/chapter_array_and_linkedlist/list/)
- [4.4   記憶體與快取 *](https://www.hello-algo.com/en/chapter_array_and_linkedlist/ram_and_cache/)
- [4.5   小結](https://www.hello-algo.com/en/chapter_array_and_linkedlist/summary/)
- [4.1   陣列](array.md)
- [4.2   鏈結串列](linked_list.md)
- [4.3   串列](list.md)
- [4.4   記憶體與快取 *](ram_and_cache.md)
- [4.5   小結](summary.md)

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回溯的力量讓我們能夠重新開始,不斷嘗試,最終找到通往光明的出口。
## Chapter Contents
## 本章內容
- [13.1   回溯演算法](https://www.hello-algo.com/en/chapter_backtracking/backtracking_algorithm/)
- [13.2   全排列問題](https://www.hello-algo.com/en/chapter_backtracking/permutations_problem/)
- [13.3   子集和問題](https://www.hello-algo.com/en/chapter_backtracking/subset_sum_problem/)
- [13.4   N 皇后問題](https://www.hello-algo.com/en/chapter_backtracking/n_queens_problem/)
- [13.5   小結](https://www.hello-algo.com/en/chapter_backtracking/summary/)
- [13.1   回溯演算法](backtracking_algorithm.md)
- [13.2   全排列問題](permutations_problem.md)
- [13.3   子集和問題](subset_sum_problem.md)
- [13.4   N 皇后問題](n_queens_problem.md)
- [13.5   小結](summary.md)

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它帶領我們在時間與空間這兩個維度上深入探索,尋找更優雅的解決方案。
## Chapter Contents
## 本章內容
- [2.1   演算法效率評估](https://www.hello-algo.com/en/chapter_computational_complexity/performance_evaluation/)
- [2.2   迭代與遞迴](https://www.hello-algo.com/en/chapter_computational_complexity/iteration_and_recursion/)
- [2.3   時間複雜度](https://www.hello-algo.com/en/chapter_computational_complexity/time_complexity/)
- [2.4   空間複雜度](https://www.hello-algo.com/en/chapter_computational_complexity/space_complexity/)
- [2.5   小結](https://www.hello-algo.com/en/chapter_computational_complexity/summary/)
- [2.1   演算法效率評估](performance_evaluation.md)
- [2.2   迭代與遞迴](iteration_and_recursion.md)
- [2.3   時間複雜度](time_complexity.md)
- [2.4   空間複雜度](space_complexity.md)
- [2.5   小結](summary.md)

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@ -13,10 +13,10 @@ icon: material/shape-outline
它為資料的有序組織提供了藍圖,演算法得以在此基礎上生動起來。
## Chapter Contents
## 本章內容
- [3.1   資料結構分類](https://www.hello-algo.com/en/chapter_data_structure/classification_of_data_structure/)
- [3.2   基本資料型別](https://www.hello-algo.com/en/chapter_data_structure/basic_data_types/)
- [3.3   數字編碼 *](https://www.hello-algo.com/en/chapter_data_structure/number_encoding/)
- [3.4   字元編碼 *](https://www.hello-algo.com/en/chapter_data_structure/character_encoding/)
- [3.5   小結](https://www.hello-algo.com/en/chapter_data_structure/summary/)
- [3.1   資料結構分類](classification_of_data_structure.md)
- [3.2   基本資料型別](basic_data_types.md)
- [3.3   數字編碼 *](number_encoding.md)
- [3.4   字元編碼 *](character_encoding.md)
- [3.5   小結](summary.md)

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分而治之揭示了一個重要的事實:從簡單做起,一切都不再複雜。
## Chapter Contents
## 本章內容
- [12.1   分治演算法](https://www.hello-algo.com/en/chapter_divide_and_conquer/divide_and_conquer/)
- [12.2   分治搜尋策略](https://www.hello-algo.com/en/chapter_divide_and_conquer/binary_search_recur/)
- [12.3   構建樹問題](https://www.hello-algo.com/en/chapter_divide_and_conquer/build_binary_tree_problem/)
- [12.4   河內塔問題](https://www.hello-algo.com/en/chapter_divide_and_conquer/hanota_problem/)
- [12.5   小結](https://www.hello-algo.com/en/chapter_divide_and_conquer/summary/)
- [12.1   分治演算法](divide_and_conquer.md)
- [12.2   分治搜尋策略](binary_search_recur.md)
- [12.3   構建樹問題](build_binary_tree_problem.md)
- [12.4   河內塔問題](hanota_problem.md)
- [12.5   小結](summary.md)

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@ -13,12 +13,12 @@ icon: material/table-pivot
動態規劃將小問題的解彙集成大問題的答案,一步步引領我們走向解決問題的彼岸。
## Chapter Contents
## 本章內容
- [14.1   初探動態規劃](https://www.hello-algo.com/en/chapter_dynamic_programming/intro_to_dynamic_programming/)
- [14.2   DP 問題特性](https://www.hello-algo.com/en/chapter_dynamic_programming/dp_problem_features/)
- [14.3   DP 解題思路](https://www.hello-algo.com/en/chapter_dynamic_programming/dp_solution_pipeline/)
- [14.4   0-1 背包問題](https://www.hello-algo.com/en/chapter_dynamic_programming/knapsack_problem/)
- [14.5   完全背包問題](https://www.hello-algo.com/en/chapter_dynamic_programming/unbounded_knapsack_problem/)
- [14.6   編輯距離問題](https://www.hello-algo.com/en/chapter_dynamic_programming/edit_distance_problem/)
- [14.7   小結](https://www.hello-algo.com/en/chapter_dynamic_programming/summary/)
- [14.1   初探動態規劃](intro_to_dynamic_programming.md)
- [14.2   DP 問題特性](dp_problem_features.md)
- [14.3   DP 解題思路](dp_solution_pipeline.md)
- [14.4   0-1 背包問題](knapsack_problem.md)
- [14.5   完全背包問題](unbounded_knapsack_problem.md)
- [14.6   編輯距離問題](edit_distance_problem.md)
- [14.7   小結](summary.md)

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@ -13,9 +13,9 @@ icon: material/graphql
每一次的相識與相離,都在這張巨大的網路圖中留下獨特的印記。
## Chapter Contents
## 本章內容
- [9.1   圖](https://www.hello-algo.com/en/chapter_graph/graph/)
- [9.2   圖基礎操作](https://www.hello-algo.com/en/chapter_graph/graph_operations/)
- [9.3   圖的走訪](https://www.hello-algo.com/en/chapter_graph/graph_traversal/)
- [9.4   小結](https://www.hello-algo.com/en/chapter_graph/summary/)
- [9.1   圖](graph.md)
- [9.2   圖基礎操作](graph_operations.md)
- [9.3   圖的走訪](graph_traversal.md)
- [9.4   小結](summary.md)

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@ -13,10 +13,10 @@ icon: material/head-heart-outline
貪婪策略在一輪輪的簡單選擇中,逐步導向最佳答案。
## Chapter Contents
## 本章內容
- [15.1   貪婪演算法](https://www.hello-algo.com/en/chapter_greedy/greedy_algorithm/)
- [15.2   分數背包問題](https://www.hello-algo.com/en/chapter_greedy/fractional_knapsack_problem/)
- [15.3   最大容量問題](https://www.hello-algo.com/en/chapter_greedy/max_capacity_problem/)
- [15.4   最大切分乘積問題](https://www.hello-algo.com/en/chapter_greedy/max_product_cutting_problem/)
- [15.5   小結](https://www.hello-algo.com/en/chapter_greedy/summary/)
- [15.1   貪婪演算法](greedy_algorithm.md)
- [15.2   分數背包問題](fractional_knapsack_problem.md)
- [15.3   最大容量問題](max_capacity_problem.md)
- [15.4   最大切分乘積問題](max_product_cutting_problem.md)
- [15.5   小結](summary.md)

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@ -13,9 +13,9 @@ icon: material/table-search
他知道如何計算索書號,從而可以快速找到目標圖書。
## Chapter Contents
## 本章內容
- [6.1   雜湊表](https://www.hello-algo.com/en/chapter_hashing/hash_map/)
- [6.2   雜湊衝突](https://www.hello-algo.com/en/chapter_hashing/hash_collision/)
- [6.3   雜湊演算法](https://www.hello-algo.com/en/chapter_hashing/hash_algorithm/)
- [6.4   小結](https://www.hello-algo.com/en/chapter_hashing/summary/)
- [6.1   雜湊表](hash_map.md)
- [6.2   雜湊衝突](hash_collision.md)
- [6.3   雜湊演算法](hash_algorithm.md)
- [6.4   小結](summary.md)

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@ -13,9 +13,9 @@ icon: material/family-tree
座座山峰高低錯落,而最高的山峰總是最先映入眼簾。
## Chapter Contents
## 本章內容
- [8.1   堆積](https://www.hello-algo.com/en/chapter_heap/heap/)
- [8.2   建堆積操作](https://www.hello-algo.com/en/chapter_heap/build_heap/)
- [8.3   Top-k 問題](https://www.hello-algo.com/en/chapter_heap/top_k/)
- [8.4   小結](https://www.hello-algo.com/en/chapter_heap/summary/)
- [8.1   堆積](heap.md)
- [8.2   建堆積操作](build_heap.md)
- [8.3   Top-k 問題](top_k.md)
- [8.4   小結](summary.md)

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@ -13,8 +13,8 @@ icon: material/calculator-variant-outline
她邀請你共舞,請緊跟她的步伐,踏入充滿邏輯與美感的演算法世界。
## Chapter Contents
## 本章內容
- [1.1   演算法無處不在](https://www.hello-algo.com/en/chapter_introduction/algorithms_are_everywhere/)
- [1.2   演算法是什麼](https://www.hello-algo.com/en/chapter_introduction/what_is_dsa/)
- [1.3   小結](https://www.hello-algo.com/en/chapter_introduction/summary/)
- [1.1   演算法無處不在](algorithms_are_everywhere.md)
- [1.2   演算法是什麼](what_is_dsa.md)
- [1.3   小結](summary.md)

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@ -13,8 +13,8 @@ icon: material/book-open-outline
願這本書在你的腦海中輕輕響起,留下獨特而深刻的旋律。
## Chapter Contents
## 本章內容
- [0.1   關於本書](https://www.hello-algo.com/en/chapter_preface/about_the_book/)
- [0.2   如何使用本書](https://www.hello-algo.com/en/chapter_preface/suggestions/)
- [0.3   小結](https://www.hello-algo.com/en/chapter_preface/summary/)
- [0.1   關於本書](about_the_book.md)
- [0.2   如何使用本書](suggestions.md)
- [0.3   小結](summary.md)

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@ -13,11 +13,11 @@ icon: material/text-search
在這場尋覓之旅中,每一次探索都可能得到一個未曾料想的答案。
## Chapter Contents
## 本章內容
- [10.1   二分搜尋](https://www.hello-algo.com/en/chapter_searching/binary_search/)
- [10.2   二分搜尋插入點](https://www.hello-algo.com/en/chapter_searching/binary_search_insertion/)
- [10.3   二分搜尋邊界](https://www.hello-algo.com/en/chapter_searching/binary_search_edge/)
- [10.4   雜湊最佳化策略](https://www.hello-algo.com/en/chapter_searching/replace_linear_by_hashing/)
- [10.5   重識搜尋演算法](https://www.hello-algo.com/en/chapter_searching/searching_algorithm_revisited/)
- [10.6   小結](https://www.hello-algo.com/en/chapter_searching/summary/)
- [10.1   二分搜尋](binary_search.md)
- [10.2   二分搜尋插入點](binary_search_insertion.md)
- [10.3   二分搜尋邊界](binary_search_edge.md)
- [10.4   雜湊最佳化策略](replace_linear_by_hashing.md)
- [10.5   重識搜尋演算法](searching_algorithm_revisited.md)
- [10.6   小結](summary.md)

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@ -13,16 +13,16 @@ icon: material/sort-ascending
無論是簡單的升序,還是複雜的分類排列,排序都向我們展示了資料的和諧美感。
## Chapter Contents
## 本章內容
- [11.1   排序演算法](https://www.hello-algo.com/en/chapter_sorting/sorting_algorithm/)
- [11.2   選擇排序](https://www.hello-algo.com/en/chapter_sorting/selection_sort/)
- [11.3   泡沫排序](https://www.hello-algo.com/en/chapter_sorting/bubble_sort/)
- [11.4   插入排序](https://www.hello-algo.com/en/chapter_sorting/insertion_sort/)
- [11.5   快速排序](https://www.hello-algo.com/en/chapter_sorting/quick_sort/)
- [11.6   合併排序](https://www.hello-algo.com/en/chapter_sorting/merge_sort/)
- [11.7   堆積排序](https://www.hello-algo.com/en/chapter_sorting/heap_sort/)
- [11.8   桶排序](https://www.hello-algo.com/en/chapter_sorting/bucket_sort/)
- [11.9   計數排序](https://www.hello-algo.com/en/chapter_sorting/counting_sort/)
- [11.10   基數排序](https://www.hello-algo.com/en/chapter_sorting/radix_sort/)
- [11.11   小結](https://www.hello-algo.com/en/chapter_sorting/summary/)
- [11.1   排序演算法](sorting_algorithm.md)
- [11.2   選擇排序](selection_sort.md)
- [11.3   泡沫排序](bubble_sort.md)
- [11.4   插入排序](insertion_sort.md)
- [11.5   快速排序](quick_sort.md)
- [11.6   合併排序](merge_sort.md)
- [11.7   堆積排序](heap_sort.md)
- [11.8   桶排序](bucket_sort.md)
- [11.9   計數排序](counting_sort.md)
- [11.10   基數排序](radix_sort.md)
- [11.11   小結](summary.md)

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@ -13,9 +13,9 @@ icon: material/stack-overflow
兩者分別代表先入後出和先入先出的邏輯關係。
## Chapter Contents
## 本章內容
- [5.1   堆疊](https://www.hello-algo.com/en/chapter_stack_and_queue/stack/)
- [5.2   佇列](https://www.hello-algo.com/en/chapter_stack_and_queue/queue/)
- [5.3   雙向佇列](https://www.hello-algo.com/en/chapter_stack_and_queue/deque/)
- [5.4   小結](https://www.hello-algo.com/en/chapter_stack_and_queue/summary/)
- [5.1   堆疊](stack.md)
- [5.2   佇列](queue.md)
- [5.3   雙向佇列](deque.md)
- [5.4   小結](summary.md)

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@ -13,11 +13,11 @@ icon: material/graph-outline
它為我們展現了資料分治的生動形態。
## Chapter Contents
## 本章內容
- [7.1   二元樹](https://www.hello-algo.com/en/chapter_tree/binary_tree/)
- [7.2   二元樹走訪](https://www.hello-algo.com/en/chapter_tree/binary_tree_traversal/)
- [7.3   二元樹陣列表示](https://www.hello-algo.com/en/chapter_tree/array_representation_of_tree/)
- [7.4   二元搜尋樹](https://www.hello-algo.com/en/chapter_tree/binary_search_tree/)
- [7.5   AVL *](https://www.hello-algo.com/en/chapter_tree/avl_tree/)
- [7.6   小結](https://www.hello-algo.com/en/chapter_tree/summary/)
- [7.1   二元樹](binary_tree.md)
- [7.2   二元樹走訪](binary_tree_traversal.md)
- [7.3   二元樹陣列表示](array_representation_of_tree.md)
- [7.4   二元搜尋樹](binary_search_tree.md)
- [7.5   AVL *](avl_tree.md)
- [7.6   小結](summary.md)

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@ -144,7 +144,7 @@
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