diff --git a/docs-en/chapter_data_structure/classification_of_data_structure.md b/docs-en/chapter_data_structure/classification_of_data_structure.md
index 766813b39..dd5c3fa19 100644
--- a/docs-en/chapter_data_structure/classification_of_data_structure.md
+++ b/docs-en/chapter_data_structure/classification_of_data_structure.md
@@ -4,13 +4,13 @@ comments: true
# 3.1 Classification of Data Structures
-Common data structures include arrays, linked lists, stacks, queues, hash tables, trees, heaps, and graphs. They can be classified into two dimensions: "Logical Structure" and "Physical Structure".
+Common data structures include arrays, linked lists, stacks, queues, hash tables, trees, heaps, and graphs. They can be classified into "logical structure" and "physical structure".
## 3.1.1 Logical Structure: Linear and Non-Linear
-**The logical structure reveals the logical relationships between data elements**. In arrays and linked lists, data is arranged in a certain order, reflecting a linear relationship between them. In trees, data is arranged from top to bottom in layers, showing a "ancestor-descendant" hierarchical relationship. Graphs, consisting of nodes and edges, represent complex network relationships.
+**The logical structures reveal the logical relationships between data elements**. In arrays and linked lists, data are arranged in a specific sequence, demonstrating the linear relationship between data; while in trees, data are arranged hierarchically from the top down, showing the derived relationship between "ancestors" and "descendants"; and graphs are composed of nodes and edges, reflecting the intricate network relationship.
-As shown in the Figure 3-1 , logical structures can be divided into two major categories: "Linear" and "Non-linear". Linear structures are more intuitive, indicating data is arranged linearly in logical relationships; non-linear structures, conversely, are arranged non-linearly.
+As shown in the Figure 3-1 , logical structures can be divided into two major categories: "linear" and "non-linear". Linear structures are more intuitive, indicating data is arranged linearly in logical relationships; non-linear structures, conversely, are arranged non-linearly.
- **Linear Data Structures**: Arrays, Linked Lists, Stacks, Queues, Hash Tables.
- **Non-Linear Data Structures**: Trees, Heaps, Graphs, Hash Tables.
@@ -21,14 +21,15 @@ As shown in the Figure 3-1 , logical structures can be divided into two major ca
Non-linear data structures can be further divided into tree structures and network structures.
-- **Tree Structures**: Trees, Heaps, Hash Tables, where elements have one-to-many relationships.
-- **Network Structures**: Graphs, where elements have many-to-many relationships.
+- **Linear Structures**: Arrays, linked lists, queues, stacks, and hash tables, where elements have a one-to-one sequential relationship.
+- **Tree Structures**: Trees, Heaps, Hash Tables, where elements have a one-to-many relationship.
+- **Network Structures**: Graphs, where elements have a many-to-many relationships.
## 3.1.2 Physical Structure: Contiguous and Dispersed
-**When an algorithm program runs, the data being processed is mainly stored in memory**. The following figure shows a computer memory stick, each black block containing a memory space. We can imagine memory as a huge Excel spreadsheet, where each cell can store a certain amount of data.
+**During the execution of an algorithm, the data being processed is stored in memory**. The Figure 3-2 shows a computer memory stick where each black square is a physical memory space. We can think of memory as a vast Excel spreadsheet, with each cell capable of storing a certain amount of data.
-**The system accesses data at the target location through memory addresses**. As shown in the Figure 3-2 , the computer allocates numbers to each cell in the table according to specific rules, ensuring each memory space has a unique memory address. With these addresses, programs can access data in memory.
+**The system accesses the data at the target location by means of a memory address**. As shown in the Figure 3-2 , the computer assigns a unique identifier to each cell in the table according to specific rules, ensuring that each memory space has a unique memory address. With these addresses, the program can access the data stored in memory.
{ class="animation-figure" }
@@ -38,21 +39,20 @@ Non-linear data structures can be further divided into tree structures and netwo
It's worth noting that comparing memory to an Excel spreadsheet is a simplified analogy. The actual working mechanism of memory is more complex, involving concepts like address space, memory management, cache mechanisms, virtual memory, and physical memory.
-Memory is a shared resource for all programs. When a block of memory is occupied by one program, it cannot be used by others simultaneously. **Therefore, memory resources are an important consideration in the design of data structures and algorithms**. For example, the peak memory usage of an algorithm should not exceed the system's remaining free memory. If there is a lack of contiguous large memory spaces, the chosen data structure must be able to store data in dispersed memory spaces.
+Memory is a shared resource for all programs. When a block of memory is occupied by one program, it cannot be simultaneously used by other programs. **Therefore, considering memory resources is crucial in designing data structures and algorithms**. For instance, the algorithm's peak memory usage should not exceed the remaining free memory of the system; if there is a lack of contiguous memory blocks, then the data structure chosen must be able to be stored in non-contiguous memory blocks.
-As shown in the Figure 3-3 , **the physical structure reflects how data is stored in computer memory**, which can be divided into contiguous space storage (arrays) and dispersed space storage (linked lists). The physical structure determines from the bottom level how data is accessed, updated, added, or deleted. Both types of physical structures exhibit complementary characteristics in terms of time efficiency and space efficiency.
+As illustrated in the Figure 3-3 , **the physical structure reflects the way data is stored in computer memory** and it can be divided into contiguous space storage (arrays) and non-contiguous space storage (linked lists). The two types of physical structures exhibit complementary characteristics in terms of time efficiency and space efficiency.
{ class="animation-figure" }
Figure 3-3 Contiguous Space Storage and Dispersed Space Storage
-It's important to note that **all data structures are implemented based on arrays, linked lists, or a combination of both**. For example, stacks and queues can be implemented using either arrays or linked lists; while hash tables may include both arrays and linked lists.
-
-- **Array-based Implementations**: Stacks, Queues, Hash Tables, Trees, Heaps, Graphs, Matrices, Tensors (arrays with dimensions $\geq 3$).
-- **Linked List-based Implementations**: Stacks, Queues, Hash Tables, Trees, Heaps, Graphs, etc.
+**It is worth noting that all data structures are implemented based on arrays, linked lists, or a combination of both**. For example, stacks and queues can be implemented using either arrays or linked lists; while implementations of hash tables may involve both arrays and linked lists.
+- **Array-based implementations**: Stacks, Queues, Hash Tables, Trees, Heaps, Graphs, Matrices, Tensors (arrays with dimensions $\geq 3$).
+- **Linked-list-based implementations**: Stacks, Queues, Hash Tables, Trees, Heaps, Graphs, etc.
Data structures implemented based on arrays are also called “Static Data Structures,” meaning their length cannot be changed after initialization. Conversely, those based on linked lists are called “Dynamic Data Structures,” which can still adjust their size during program execution.
!!! tip
- If you find it difficult to understand the physical structure, it's recommended to read the next chapter first and then revisit this section.
+ If you find it challenging to comprehend the physical structure, it is recommended that you read the next chapter, "Arrays and Linked Lists," and revisit this section later.
diff --git a/docs-en/chapter_preface/about_the_book.md b/docs-en/chapter_preface/about_the_book.md
index 6fc26c75c..b48198408 100644
--- a/docs-en/chapter_preface/about_the_book.md
+++ b/docs-en/chapter_preface/about_the_book.md
@@ -36,10 +36,14 @@ The main content of the book is shown in the following figure.
## 0.1.3 Acknowledgements
+This book is continuously improved with the joint efforts of many contributors from the open-source community. Thanks to each writer who invested their time and energy, listed in the order generated by GitHub: krahets、codingonion、nuomi1、Gonglja、Reanon、justin-tse、danielsss、hpstory、S-N-O-R-L-A-X、night-cruise、msk397、gvenusleo、RiverTwilight、gyt95、zhuoqinyue、Zuoxun、Xia-Sang、mingXta、FangYuan33、GN-Yu、IsChristina、xBLACKICEx、guowei-gong、Cathay-Chen、mgisr、JoseHung、qualifier1024、pengchzn、Guanngxu、longsizhuo、L-Super、what-is-me、yuan0221、lhxsm、Slone123c、WSL0809、longranger2、theNefelibatas、xiongsp、JeffersonHuang、hongyun-robot、K3v123、yuelinxin、a16su、gaofer、malone6、Wonderdch、xjr7670、DullSword、Horbin-Magician、NI-SW、reeswell、XC-Zero、XiaChuerwu、yd-j、iron-irax、huawuque404、MolDuM、Nigh、KorsChen、foursevenlove、52coder、bubble9um、youshaoXG、curly210102、gltianwen、fanchenggang、Transmigration-zhou、FloranceYeh、FreddieLi、ShiMaRing、lipusheng、Javesun99、JackYang-hellobobo、shanghai-Jerry、0130w、Keynman、psychelzh、logan-qiu、ZnYang2018、MwumLi、1ch0、Phoenix0415、qingpeng9802、Richard-Zhang1019、QiLOL、Suremotoo、Turing-1024-Lee、Evilrabbit520、GaochaoZhu、ZJKung、linzeyan、hezhizhen、ZongYangL、beintentional、czruby、coderlef、dshlstarr、szu17dmy、fbigm、gledfish、hts0000、boloboloda、iStig、jiaxianhua、wenjianmin、keshida、kilikilikid、lclc6、lwbaptx、liuxjerry、lucaswangdev、lyl625760、chadyi、noobcodemaker、selear、siqyka、syd168、4yDX3906、tao363、wangwang105、weibk、yabo083、yi427、yishangzhang、zhouLion、baagod、ElaBosak233、xb534、luluxia、yanedie、thomasq0 和 YangXuanyi。
+
+The code review work for this book was completed by codingonion, Gonglja, gvenusleo, hpstory, justin‐tse, krahets, night-cruise, nuomi1, and Reanon (listed in alphabetical order). Thanks to them for their time and effort, ensuring the standardization and uniformity of the code in various languages.
+
Throughout the creation of this book, numerous individuals provided invaluable assistance, including but not limited to:
- Thanks to my mentor at the company, Dr. Xi Li, who encouraged me in a conversation to "get moving fast," which solidified my determination to write this book;
-- Thanks to my girlfriend Paopao, as the first reader of this book, for offering many valuable suggestions from the perspective of a beginner in algorithms, making this book more suitable for newbies;
+- Thanks to my girlfriend Bubble, as the first reader of this book, for offering many valuable suggestions from the perspective of a beginner in algorithms, making this book more suitable for newbies;
- Thanks to Tengbao, Qibao, and Feibao for coming up with a creative name for this book, evoking everyone's fond memories of writing their first line of code "Hello World!";
- Thanks to Xiaoquan for providing professional help in intellectual property, which has played a significant role in the development of this open-source book;
- Thanks to Sutong for designing a beautiful cover and logo for this book, and for patiently making multiple revisions under my insistence;
diff --git a/docs-en/index.md b/docs-en/index.md
index 68593a68e..bb6571c7d 100644
--- a/docs-en/index.md
+++ b/docs-en/index.md
@@ -159,11 +159,12 @@ This book is continuously improved with the joint efforts of many contributors f
-The code review work for this book was completed by Gonglja, gvenusleo, hpstory, justin‐tse, krahets, night-cruise, nuomi1, Reanon, and sjinzh (listed in alphabetical order). Thanks to them for their time and effort, ensuring the standardization and uniformity of the code in various languages.
+The code review work for this book was completed by codingonion, Gonglja, gvenusleo, hpstory, justin‐tse, krahets, night-cruise, nuomi1, and Reanon (listed in alphabetical order). Thanks to them for their time and effort, ensuring the standardization and uniformity of the code in various languages.
diff --git a/docs/chapter_preface/about_the_book.md b/docs/chapter_preface/about_the_book.md
index cf25f8bca..e12116a1c 100644
--- a/docs/chapter_preface/about_the_book.md
+++ b/docs/chapter_preface/about_the_book.md
@@ -36,6 +36,10 @@ comments: true
## 0.1.3 致谢
+本书在开源社区众多贡献者的共同努力下不断完善。感谢每一位投入时间与精力的撰稿人，他们是（按照 GitHub 自动生成的顺序）：krahets、codingonion、nuomi1、Gonglja、Reanon、justin-tse、danielsss、hpstory、S-N-O-R-L-A-X、night-cruise、msk397、gvenusleo、RiverTwilight、gyt95、zhuoqinyue、Zuoxun、Xia-Sang、mingXta、FangYuan33、GN-Yu、IsChristina、xBLACKICEx、guowei-gong、Cathay-Chen、mgisr、JoseHung、qualifier1024、pengchzn、Guanngxu、longsizhuo、L-Super、what-is-me、yuan0221、lhxsm、Slone123c、WSL0809、longranger2、theNefelibatas、xiongsp、JeffersonHuang、hongyun-robot、K3v123、yuelinxin、a16su、gaofer、malone6、Wonderdch、xjr7670、DullSword、Horbin-Magician、NI-SW、reeswell、XC-Zero、XiaChuerwu、yd-j、iron-irax、huawuque404、MolDuM、Nigh、KorsChen、foursevenlove、52coder、bubble9um、youshaoXG、curly210102、gltianwen、fanchenggang、Transmigration-zhou、FloranceYeh、FreddieLi、ShiMaRing、lipusheng、Javesun99、JackYang-hellobobo、shanghai-Jerry、0130w、Keynman、psychelzh、logan-qiu、ZnYang2018、MwumLi、1ch0、Phoenix0415、qingpeng9802、Richard-Zhang1019、QiLOL、Suremotoo、Turing-1024-Lee、Evilrabbit520、GaochaoZhu、ZJKung、linzeyan、hezhizhen、ZongYangL、beintentional、czruby、coderlef、dshlstarr、szu17dmy、fbigm、gledfish、hts0000、boloboloda、iStig、jiaxianhua、wenjianmin、keshida、kilikilikid、lclc6、lwbaptx、liuxjerry、lucaswangdev、lyl625760、chadyi、noobcodemaker、selear、siqyka、syd168、4yDX3906、tao363、wangwang105、weibk、yabo083、yi427、yishangzhang、zhouLion、baagod、ElaBosak233、xb534、luluxia、yanedie、thomasq0 和 YangXuanyi。
+
+本书的代码审阅工作由 codingonion, Gonglja、gvenusleo、hpstory、justin‐tse、krahets、night-cruise、nuomi1 和 Reanon 完成（按照首字母顺序排列）。感谢他们付出的时间与精力，正是他们确保了各语言代码的规范与统一。
+
在本书的创作过程中，我得到了许多人的帮助。
- 感谢我在公司的导师李汐博士，在一次畅谈中你鼓励我“快行动起来”，坚定了我写这本书的决心；
diff --git a/docs/index.md b/docs/index.md
index ea1732908..7708af6c9 100644
--- a/docs/index.md
+++ b/docs/index.md
@@ -156,11 +156,12 @@ hide:
-本书的代码审阅工作由 Gonglja、gvenusleo、hpstory、justin‐tse、krahets、night-cruise、nuomi1、Reanon 和 sjinzh 完成（按照首字母顺序排列）。感谢他们付出的时间与精力，正是他们确保了各语言代码的规范与统一。
+本书的代码审阅工作由 codingonion、Gonglja、gvenusleo、hpstory、justin‐tse、krahets、night-cruise、nuomi1 和 Reanon 完成（按照首字母顺序排列）。感谢他们付出的时间与精力，正是他们确保了各语言代码的规范与统一。
codingonionRust, Zig
GongljaC, C++
gvenusleoDart
hpstoryC#
night-cruiseRust
nuomi1Swift
ReanonGo, C