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Chapter 0. Preface
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0.1 About this book
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0.2 How to read
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Chapter 1. Introduction to algorithms
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Chapter 1. Introduction to algorithms
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1.1 Algorithms are everywhere
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1.2 What is an algorithm
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Chapter 2. Complexity analysis
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Chapter 2. Complexity analysis
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2.1 Algorithm efficiency assessment
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2.2 Iteration and recursion
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2.3 Time complexity
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2.4 Space complexity
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Chapter 3. Data structures
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Chapter 3. Data structures
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3.1 Classification of data structures
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3.2 Fundamental data types
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3.3 Number encoding *
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3.4 Character encoding *
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3.5 Summary
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Chapter 4. Array and linked list
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Chapter 4. Array and linked list
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4.1 Array
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4.2 Linked list
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4.3 List
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4.4 Memory and cache
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Chapter 5. Stack and queue
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Chapter 5. Stack and queue
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5.1 Stack
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5.2 Queue
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5.3 Double-ended queue
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Chapter 6. Hash table
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Chapter 6. Hash table
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6.1 Hash table
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6.2 Hash collision
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6.3 Hash algorithm
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7.1 Binary Tree
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7.3 Array Representation of Tree
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7.3 Array Representation of Tree
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7.3.1 Representing perfect binary trees
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7.3.2 Representing any binary tree
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7.3.3 Advantages and limitations
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7.5 AVL Tree *
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8.1 Heap
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9.1 Graph
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9.3 Graph Traversal
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7.3.1 Representing perfect binary trees
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7.3.2 Representing any binary tree
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< h1 id = "73-array-representation-of-binary-trees" > 7.3 Array representation of binary trees< a class = "headerlink" href = "#73-array-representation-of-binary-trees" title = "Permanent link" > ¶ < / a > < / h1 >
< p > Under the linked list representation, the storage unit of a binary tree is a node < code > TreeNode< / code > , with nodes connected by pointers. The basic operations of binary trees under the linked list representation were introduced in the previous section.< / p >
< p > So, can we use an array to represent a binary tree? The answer is yes.< / p >
< h2 id = "731-representing-perfect-binary-trees" > 7.3.1 Representing perfect binary trees< a class = "headerlink" href = "#731-representing-perfect-binary-trees" title = "Permanent link" > ¶ < / a > < / h2 >
< p > Let's analyze a simple case first. Given a perfect binary tree, we store all nodes in an array according to the order of level-order traversal, where each node corresponds to a unique array index.< / p >
< p > Based on the characteristics of level-order traversal, we can deduce a "mapping formula" between the index of a parent node and its children: < strong > If a node's index is < span class = "arithmatex" > \(i\)< / span > , then the index of its left child is < span class = "arithmatex" > \(2i + 1\)< / span > and the right child is < span class = "arithmatex" > \(2i + 2\)< / span > < / strong > . The Figure 7-12 shows the mapping relationship between the indices of various nodes.< / p >
< p > < a class = "glightbox" href = "../array_representation_of_tree.assets/array_representation_binary_tree.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "Array representation of a perfect binary tree" class = "animation-figure" src = "../array_representation_of_tree.assets/array_representation_binary_tree.png" / > < / a > < / p >
< p align = "center" > Figure 7-12 Array representation of a perfect binary tree < / p >
< p > < strong > The mapping formula plays a role similar to the node references (pointers) in linked lists< / strong > . Given any node in the array, we can access its left (right) child node using the mapping formula.< / p >
< h2 id = "732-representing-any-binary-tree" > 7.3.2 Representing any binary tree< a class = "headerlink" href = "#732-representing-any-binary-tree" title = "Permanent link" > ¶ < / a > < / h2 >
< p > Perfect binary trees are a special case; there are often many < code > None< / code > values in the middle levels of a binary tree. Since the sequence of level-order traversal does not include these < code > None< / code > values, we cannot solely rely on this sequence to deduce the number and distribution of < code > None< / code > values. < strong > This means that multiple binary tree structures can match the same level-order traversal sequence< / strong > .< / p >
< p > As shown in the Figure 7-13 , given a non-perfect binary tree, the above method of array representation fails.< / p >
< p > < a class = "glightbox" href = "../array_representation_of_tree.assets/array_representation_without_empty.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "Level-order traversal sequence corresponds to multiple binary tree possibilities" class = "animation-figure" src = "../array_representation_of_tree.assets/array_representation_without_empty.png" / > < / a > < / p >
< p align = "center" > Figure 7-13 Level-order traversal sequence corresponds to multiple binary tree possibilities < / p >
< p > To solve this problem, < strong > we can consider explicitly writing out all < code > None< / code > values in the level-order traversal sequence< / strong > . As shown in the following figure, after this treatment, the level-order traversal sequence can uniquely represent a binary tree. Example code is as follows:< / p >
< div class = "tabbed-set tabbed-alternate" data-tabs = "1:14" > < input checked = "checked" id = "__tabbed_1_1" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_2" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_3" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_4" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_5" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_6" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_7" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_8" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_9" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_10" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_11" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_12" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_13" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_14" name = "__tabbed_1" type = "radio" / > < div class = "tabbed-labels" > < label for = "__tabbed_1_1" > Python< / label > < label for = "__tabbed_1_2" > C++< / label > < label for = "__tabbed_1_3" > Java< / label > < label for = "__tabbed_1_4" > C#< / label > < label for = "__tabbed_1_5" > Go< / label > < label for = "__tabbed_1_6" > Swift< / label > < label for = "__tabbed_1_7" > JS< / label > < label for = "__tabbed_1_8" > TS< / label > < label for = "__tabbed_1_9" > Dart< / label > < label for = "__tabbed_1_10" > Rust< / label > < label for = "__tabbed_1_11" > C< / label > < label for = "__tabbed_1_12" > Kotlin< / label > < label for = "__tabbed_1_13" > Ruby< / label > < label for = "__tabbed_1_14" > Zig< / label > < / div >
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< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-0-1" name = "__codelineno-0-1" href = "#__codelineno-0-1" > < / a > < span class = "c1" > # Array representation of a binary tree< / span >
< a id = "__codelineno-0-2" name = "__codelineno-0-2" href = "#__codelineno-0-2" > < / a > < span class = "c1" > # Using None to represent empty slots< / span >
< a id = "__codelineno-0-3" name = "__codelineno-0-3" href = "#__codelineno-0-3" > < / a > < span class = "n" > tree< / span > < span class = "o" > =< / span > < span class = "p" > [< / span > < span class = "mi" > 1< / span > < span class = "p" > ,< / span > < span class = "mi" > 2< / span > < span class = "p" > ,< / span > < span class = "mi" > 3< / span > < span class = "p" > ,< / span > < span class = "mi" > 4< / span > < span class = "p" > ,< / span > < span class = "kc" > None< / span > < span class = "p" > ,< / span > < span class = "mi" > 6< / span > < span class = "p" > ,< / span > < span class = "mi" > 7< / span > < span class = "p" > ,< / span > < span class = "mi" > 8< / span > < span class = "p" > ,< / span > < span class = "mi" > 9< / span > < span class = "p" > ,< / span > < span class = "kc" > None< / span > < span class = "p" > ,< / span > < span class = "kc" > None< / span > < span class = "p" > ,< / span > < span class = "mi" > 12< / span > < span class = "p" > ,< / span > < span class = "kc" > None< / span > < span class = "p" > ,< / span > < span class = "kc" > None< / span > < span class = "p" > ,< / span > < span class = "mi" > 15< / span > < span class = "p" > ]< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-1-1" name = "__codelineno-1-1" href = "#__codelineno-1-1" > < / a > < span class = "cm" > /* Array representation of a binary tree */< / span >
< a id = "__codelineno-1-2" name = "__codelineno-1-2" href = "#__codelineno-1-2" > < / a > < span class = "c1" > // Using the maximum integer value INT_MAX to mark empty slots< / span >
< a id = "__codelineno-1-3" name = "__codelineno-1-3" href = "#__codelineno-1-3" > < / a > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > {< / span > < span class = "mi" > 1< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 3< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 4< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 6< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 7< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 8< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 9< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 12< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 15< / span > < span class = "p" > };< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-2-1" name = "__codelineno-2-1" href = "#__codelineno-2-1" > < / a > < span class = "cm" > /* Array representation of a binary tree */< / span >
< a id = "__codelineno-2-2" name = "__codelineno-2-2" href = "#__codelineno-2-2" > < / a > < span class = "c1" > // Using the Integer wrapper class allows for using null to mark empty slots< / span >
< a id = "__codelineno-2-3" name = "__codelineno-2-3" href = "#__codelineno-2-3" > < / a > < span class = "n" > Integer< / span > < span class = "o" > []< / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > {< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 3< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 4< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 6< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 7< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 8< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 9< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 12< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 15< / span > < span class = "w" > < / span > < span class = "p" > };< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-3-1" name = "__codelineno-3-1" href = "#__codelineno-3-1" > < / a > < span class = "cm" > /* Array representation of a binary tree */< / span >
< a id = "__codelineno-3-2" name = "__codelineno-3-2" href = "#__codelineno-3-2" > < / a > < span class = "c1" > // Using nullable int (int?) allows for using null to mark empty slots< / span >
< a id = "__codelineno-3-3" name = "__codelineno-3-3" href = "#__codelineno-3-3" > < / a > < span class = "kt" > int?< / span > < span class = "p" > []< / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [< / span > < span class = "m" > 1< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 2< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 3< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 4< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 6< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 7< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 8< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 9< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 12< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 15< / span > < span class = "p" > ];< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-4-1" name = "__codelineno-4-1" href = "#__codelineno-4-1" > < / a > < span class = "cm" > /* Array representation of a binary tree */< / span >
< a id = "__codelineno-4-2" name = "__codelineno-4-2" href = "#__codelineno-4-2" > < / a > < span class = "c1" > // Using an any type slice, allowing for nil to mark empty slots< / span >
< a id = "__codelineno-4-3" name = "__codelineno-4-3" href = "#__codelineno-4-3" > < / a > < span class = "nx" > tree< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > any< / span > < span class = "p" > {< / span > < span class = "mi" > 1< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 3< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 4< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 6< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 7< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 8< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 9< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 12< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 15< / span > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-5-1" name = "__codelineno-5-1" href = "#__codelineno-5-1" > < / a > < span class = "cm" > /* Array representation of a binary tree */< / span >
< a id = "__codelineno-5-2" name = "__codelineno-5-2" href = "#__codelineno-5-2" > < / a > < span class = "c1" > // Using optional Int (Int?) allows for using nil to mark empty slots< / span >
< a id = "__codelineno-5-3" name = "__codelineno-5-3" href = "#__codelineno-5-3" > < / a > < span class = "kd" > let< / span > < span class = "nv" > tree< / span > < span class = "p" > :< / span > < span class = "p" > [< / span > < span class = "nb" > Int< / span > < span class = "p" > ?]< / span > < span class = "p" > =< / span > < span class = "p" > [< / span > < span class = "mi" > 1< / span > < span class = "p" > ,< / span > < span class = "mi" > 2< / span > < span class = "p" > ,< / span > < span class = "mi" > 3< / span > < span class = "p" > ,< / span > < span class = "mi" > 4< / span > < span class = "p" > ,< / span > < span class = "kc" > nil< / span > < span class = "p" > ,< / span > < span class = "mi" > 6< / span > < span class = "p" > ,< / span > < span class = "mi" > 7< / span > < span class = "p" > ,< / span > < span class = "mi" > 8< / span > < span class = "p" > ,< / span > < span class = "mi" > 9< / span > < span class = "p" > ,< / span > < span class = "kc" > nil< / span > < span class = "p" > ,< / span > < span class = "kc" > nil< / span > < span class = "p" > ,< / span > < span class = "mi" > 12< / span > < span class = "p" > ,< / span > < span class = "kc" > nil< / span > < span class = "p" > ,< / span > < span class = "kc" > nil< / span > < span class = "p" > ,< / span > < span class = "mi" > 15< / span > < span class = "p" > ]< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-6-1" name = "__codelineno-6-1" href = "#__codelineno-6-1" > < / a > < span class = "cm" > /* Array representation of a binary tree */< / span >
< a id = "__codelineno-6-2" name = "__codelineno-6-2" href = "#__codelineno-6-2" > < / a > < span class = "c1" > // Using null to represent empty slots< / span >
< a id = "__codelineno-6-3" name = "__codelineno-6-3" href = "#__codelineno-6-3" > < / a > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > tree< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [< / span > < span class = "mf" > 1< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 2< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 3< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 4< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 6< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 7< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 8< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 9< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 12< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 15< / span > < span class = "p" > ];< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-7-1" name = "__codelineno-7-1" href = "#__codelineno-7-1" > < / a > < span class = "cm" > /* Array representation of a binary tree */< / span >
< a id = "__codelineno-7-2" name = "__codelineno-7-2" href = "#__codelineno-7-2" > < / a > < span class = "c1" > // Using null to represent empty slots< / span >
< a id = "__codelineno-7-3" name = "__codelineno-7-3" href = "#__codelineno-7-3" > < / a > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > tree< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > number< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )[]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [< / span > < span class = "mf" > 1< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 2< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 3< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 4< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 6< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 7< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 8< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 9< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 12< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mf" > 15< / span > < span class = "p" > ];< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-8-1" name = "__codelineno-8-1" href = "#__codelineno-8-1" > < / a > < span class = "cm" > /* Array representation of a binary tree */< / span >
< a id = "__codelineno-8-2" name = "__codelineno-8-2" href = "#__codelineno-8-2" > < / a > < span class = "c1" > // Using nullable int (int?) allows for using null to mark empty slots< / span >
< a id = "__codelineno-8-3" name = "__codelineno-8-3" href = "#__codelineno-8-3" > < / a > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > ?> < / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [< / span > < span class = "m" > 1< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 2< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 3< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 4< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 6< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 7< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 8< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 9< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 12< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 15< / span > < span class = "p" > ];< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-9-1" name = "__codelineno-9-1" href = "#__codelineno-9-1" > < / a > < span class = "cm" > /* Array representation of a binary tree */< / span >
< a id = "__codelineno-9-2" name = "__codelineno-9-2" href = "#__codelineno-9-2" > < / a > < span class = "c1" > // Using None to mark empty slots< / span >
< a id = "__codelineno-9-3" name = "__codelineno-9-3" href = "#__codelineno-9-3" > < / a > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [< / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "mi" > 1< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "mi" > 2< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "mi" > 3< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "mi" > 4< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nb" > None< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "mi" > 6< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "mi" > 7< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "mi" > 8< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "mi" > 9< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nb" > None< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nb" > None< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "mi" > 12< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nb" > None< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nb" > None< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "mi" > 15< / span > < span class = "p" > )];< / span >
< / code > < / pre > < / div >
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< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-10-1" name = "__codelineno-10-1" href = "#__codelineno-10-1" > < / a > < span class = "cm" > /* Array representation of a binary tree */< / span >
< a id = "__codelineno-10-2" name = "__codelineno-10-2" href = "#__codelineno-10-2" > < / a > < span class = "c1" > // Using the maximum int value to mark empty slots, therefore, node values must not be INT_MAX< / span >
< a id = "__codelineno-10-3" name = "__codelineno-10-3" href = "#__codelineno-10-3" > < / a > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "p" > []< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > {< / span > < span class = "mi" > 1< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 3< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 4< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 6< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 7< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 8< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 9< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 12< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 15< / span > < span class = "p" > };< / span >
< / code > < / pre > < / div >
< / div >
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< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-11-1" name = "__codelineno-11-1" href = "#__codelineno-11-1" > < / a > < span class = "cm" > /* Array representation of a binary tree */< / span >
< a id = "__codelineno-11-2" name = "__codelineno-11-2" href = "#__codelineno-11-2" > < / a > < span class = "c1" > // Using null to represent empty slots< / span >
< a id = "__codelineno-11-3" name = "__codelineno-11-3" href = "#__codelineno-11-3" > < / a > < span class = "kd" > val< / span > < span class = "w" > < / span > < span class = "nv" > tree< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > mutableListOf< / span > < span class = "p" > (< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 2< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 3< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 4< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 6< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 7< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 8< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 9< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 12< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 15< / span > < span class = "w" > < / span > < span class = "p" > )< / span >
< / code > < / pre > < / div >
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< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-12-1" name = "__codelineno-12-1" href = "#__codelineno-12-1" > < / a >
< / code > < / pre > < / div >
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< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-13-1" name = "__codelineno-13-1" href = "#__codelineno-13-1" > < / a >
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< p > < a class = "glightbox" href = "../array_representation_of_tree.assets/array_representation_with_empty.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "Array representation of any type of binary tree" class = "animation-figure" src = "../array_representation_of_tree.assets/array_representation_with_empty.png" / > < / a > < / p >
< p align = "center" > Figure 7-14 Array representation of any type of binary tree < / p >
< p > It's worth noting that < strong > complete binary trees are very suitable for array representation< / strong > . Recalling the definition of a complete binary tree, < code > None< / code > appears only at the bottom level and towards the right, < strong > meaning all < code > None< / code > values definitely appear at the end of the level-order traversal sequence< / strong > .< / p >
< p > This means that when using an array to represent a complete binary tree, it's possible to omit storing all < code > None< / code > values, which is very convenient. The Figure 7-15 gives an example.< / p >
< p > < a class = "glightbox" href = "../array_representation_of_tree.assets/array_representation_complete_binary_tree.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "Array representation of a complete binary tree" class = "animation-figure" src = "../array_representation_of_tree.assets/array_representation_complete_binary_tree.png" / > < / a > < / p >
< p align = "center" > Figure 7-15 Array representation of a complete binary tree < / p >
< p > The following code implements a binary tree based on array representation, including the following operations:< / p >
< ul >
< li > Given a node, obtain its value, left (right) child node, and parent node.< / li >
< li > Obtain the preorder, inorder, postorder, and level-order traversal sequences.< / li >
< / ul >
< div class = "tabbed-set tabbed-alternate" data-tabs = "2:14" > < input checked = "checked" id = "__tabbed_2_1" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_2" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_3" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_4" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_5" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_6" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_7" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_8" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_9" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_10" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_11" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_12" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_13" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_14" name = "__tabbed_2" type = "radio" / > < div class = "tabbed-labels" > < label for = "__tabbed_2_1" > Python< / label > < label for = "__tabbed_2_2" > C++< / label > < label for = "__tabbed_2_3" > Java< / label > < label for = "__tabbed_2_4" > C#< / label > < label for = "__tabbed_2_5" > Go< / label > < label for = "__tabbed_2_6" > Swift< / label > < label for = "__tabbed_2_7" > JS< / label > < label for = "__tabbed_2_8" > TS< / label > < label for = "__tabbed_2_9" > Dart< / label > < label for = "__tabbed_2_10" > Rust< / label > < label for = "__tabbed_2_11" > C< / label > < label for = "__tabbed_2_12" > Kotlin< / label > < label for = "__tabbed_2_13" > Ruby< / label > < label for = "__tabbed_2_14" > Zig< / label > < / div >
< div class = "tabbed-content" >
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< div class = "highlight" > < span class = "filename" > array_binary_tree.py< / span > < pre > < span > < / span > < code > < a id = "__codelineno-14-1" name = "__codelineno-14-1" href = "#__codelineno-14-1" > < / a > < span class = "k" > class< / span > < span class = "nc" > ArrayBinaryTree< / span > < span class = "p" > :< / span >
< a id = "__codelineno-14-2" name = "__codelineno-14-2" href = "#__codelineno-14-2" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 数组表示下的二叉树类" " " < / span >
< a id = "__codelineno-14-3" name = "__codelineno-14-3" href = "#__codelineno-14-3" > < / a >
< a id = "__codelineno-14-4" name = "__codelineno-14-4" href = "#__codelineno-14-4" > < / a > < span class = "k" > def< / span > < span class = "fm" > __init__< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "n" > arr< / span > < span class = "p" > :< / span > < span class = "nb" > list< / span > < span class = "p" > [< / span > < span class = "nb" > int< / span > < span class = "o" > |< / span > < span class = "kc" > None< / span > < span class = "p" > ]):< / span >
< a id = "__codelineno-14-5" name = "__codelineno-14-5" href = "#__codelineno-14-5" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 构造方法" " " < / span >
< a id = "__codelineno-14-6" name = "__codelineno-14-6" href = "#__codelineno-14-6" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > _tree< / span > < span class = "o" > =< / span > < span class = "nb" > list< / span > < span class = "p" > (< / span > < span class = "n" > arr< / span > < span class = "p" > )< / span >
< a id = "__codelineno-14-7" name = "__codelineno-14-7" href = "#__codelineno-14-7" > < / a >
< a id = "__codelineno-14-8" name = "__codelineno-14-8" href = "#__codelineno-14-8" > < / a > < span class = "k" > def< / span > < span class = "nf" > size< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > ):< / span >
< a id = "__codelineno-14-9" name = "__codelineno-14-9" href = "#__codelineno-14-9" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 列表容量" " " < / span >
< a id = "__codelineno-14-10" name = "__codelineno-14-10" href = "#__codelineno-14-10" > < / a > < span class = "k" > return< / span > < span class = "nb" > len< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > _tree< / span > < span class = "p" > )< / span >
< a id = "__codelineno-14-11" name = "__codelineno-14-11" href = "#__codelineno-14-11" > < / a >
< a id = "__codelineno-14-12" name = "__codelineno-14-12" href = "#__codelineno-14-12" > < / a > < span class = "k" > def< / span > < span class = "nf" > val< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "nb" > int< / span > < span class = "p" > )< / span > < span class = "o" > -> < / span > < span class = "nb" > int< / span > < span class = "p" > :< / span >
< a id = "__codelineno-14-13" name = "__codelineno-14-13" href = "#__codelineno-14-13" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 获取索引为 i 节点的值" " " < / span >
< a id = "__codelineno-14-14" name = "__codelineno-14-14" href = "#__codelineno-14-14" > < / a > < span class = "c1" > # 若索引越界，则返回 None ，代表空位< / span >
< a id = "__codelineno-14-15" name = "__codelineno-14-15" href = "#__codelineno-14-15" > < / a > < span class = "k" > if< / span > < span class = "n" > i< / span > < span class = "o" > < < / span > < span class = "mi" > 0< / span > < span class = "ow" > or< / span > < span class = "n" > i< / span > < span class = "o" > > =< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > size< / span > < span class = "p" > ():< / span >
< a id = "__codelineno-14-16" name = "__codelineno-14-16" href = "#__codelineno-14-16" > < / a > < span class = "k" > return< / span > < span class = "kc" > None< / span >
< a id = "__codelineno-14-17" name = "__codelineno-14-17" href = "#__codelineno-14-17" > < / a > < span class = "k" > return< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > _tree< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span >
< a id = "__codelineno-14-18" name = "__codelineno-14-18" href = "#__codelineno-14-18" > < / a >
< a id = "__codelineno-14-19" name = "__codelineno-14-19" href = "#__codelineno-14-19" > < / a > < span class = "k" > def< / span > < span class = "nf" > left< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "nb" > int< / span > < span class = "p" > )< / span > < span class = "o" > -> < / span > < span class = "nb" > int< / span > < span class = "o" > |< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-14-20" name = "__codelineno-14-20" href = "#__codelineno-14-20" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 获取索引为 i 节点的左子节点的索引" " " < / span >
< a id = "__codelineno-14-21" name = "__codelineno-14-21" href = "#__codelineno-14-21" > < / a > < span class = "k" > return< / span > < span class = "mi" > 2< / span > < span class = "o" > *< / span > < span class = "n" > i< / span > < span class = "o" > +< / span > < span class = "mi" > 1< / span >
< a id = "__codelineno-14-22" name = "__codelineno-14-22" href = "#__codelineno-14-22" > < / a >
< a id = "__codelineno-14-23" name = "__codelineno-14-23" href = "#__codelineno-14-23" > < / a > < span class = "k" > def< / span > < span class = "nf" > right< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "nb" > int< / span > < span class = "p" > )< / span > < span class = "o" > -> < / span > < span class = "nb" > int< / span > < span class = "o" > |< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-14-24" name = "__codelineno-14-24" href = "#__codelineno-14-24" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 获取索引为 i 节点的右子节点的索引" " " < / span >
< a id = "__codelineno-14-25" name = "__codelineno-14-25" href = "#__codelineno-14-25" > < / a > < span class = "k" > return< / span > < span class = "mi" > 2< / span > < span class = "o" > *< / span > < span class = "n" > i< / span > < span class = "o" > +< / span > < span class = "mi" > 2< / span >
< a id = "__codelineno-14-26" name = "__codelineno-14-26" href = "#__codelineno-14-26" > < / a >
< a id = "__codelineno-14-27" name = "__codelineno-14-27" href = "#__codelineno-14-27" > < / a > < span class = "k" > def< / span > < span class = "nf" > parent< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "nb" > int< / span > < span class = "p" > )< / span > < span class = "o" > -> < / span > < span class = "nb" > int< / span > < span class = "o" > |< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-14-28" name = "__codelineno-14-28" href = "#__codelineno-14-28" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 获取索引为 i 节点的父节点的索引" " " < / span >
< a id = "__codelineno-14-29" name = "__codelineno-14-29" href = "#__codelineno-14-29" > < / a > < span class = "k" > return< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "o" > -< / span > < span class = "mi" > 1< / span > < span class = "p" > )< / span > < span class = "o" > //< / span > < span class = "mi" > 2< / span >
< a id = "__codelineno-14-30" name = "__codelineno-14-30" href = "#__codelineno-14-30" > < / a >
< a id = "__codelineno-14-31" name = "__codelineno-14-31" href = "#__codelineno-14-31" > < / a > < span class = "k" > def< / span > < span class = "nf" > level_order< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > )< / span > < span class = "o" > -> < / span > < span class = "nb" > list< / span > < span class = "p" > [< / span > < span class = "nb" > int< / span > < span class = "p" > ]:< / span >
< a id = "__codelineno-14-32" name = "__codelineno-14-32" href = "#__codelineno-14-32" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 层序遍历" " " < / span >
< a id = "__codelineno-14-33" name = "__codelineno-14-33" href = "#__codelineno-14-33" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > res< / span > < span class = "o" > =< / span > < span class = "p" > []< / span >
< a id = "__codelineno-14-34" name = "__codelineno-14-34" href = "#__codelineno-14-34" > < / a > < span class = "c1" > # 直接遍历数组< / span >
< a id = "__codelineno-14-35" name = "__codelineno-14-35" href = "#__codelineno-14-35" > < / a > < span class = "k" > for< / span > < span class = "n" > i< / span > < span class = "ow" > in< / span > < span class = "nb" > range< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > size< / span > < span class = "p" > ()):< / span >
< a id = "__codelineno-14-36" name = "__codelineno-14-36" href = "#__codelineno-14-36" > < / a > < span class = "k" > if< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "ow" > is< / span > < span class = "ow" > not< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-14-37" name = "__codelineno-14-37" href = "#__codelineno-14-37" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > res< / span > < span class = "o" > .< / span > < span class = "n" > append< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-14-38" name = "__codelineno-14-38" href = "#__codelineno-14-38" > < / a > < span class = "k" > return< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > res< / span >
< a id = "__codelineno-14-39" name = "__codelineno-14-39" href = "#__codelineno-14-39" > < / a >
< a id = "__codelineno-14-40" name = "__codelineno-14-40" href = "#__codelineno-14-40" > < / a > < span class = "k" > def< / span > < span class = "nf" > dfs< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "nb" > int< / span > < span class = "p" > ,< / span > < span class = "n" > order< / span > < span class = "p" > :< / span > < span class = "nb" > str< / span > < span class = "p" > ):< / span >
< a id = "__codelineno-14-41" name = "__codelineno-14-41" href = "#__codelineno-14-41" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 深度优先遍历" " " < / span >
< a id = "__codelineno-14-42" name = "__codelineno-14-42" href = "#__codelineno-14-42" > < / a > < span class = "k" > if< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "ow" > is< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-14-43" name = "__codelineno-14-43" href = "#__codelineno-14-43" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-14-44" name = "__codelineno-14-44" href = "#__codelineno-14-44" > < / a > < span class = "c1" > # 前序遍历< / span >
< a id = "__codelineno-14-45" name = "__codelineno-14-45" href = "#__codelineno-14-45" > < / a > < span class = "k" > if< / span > < span class = "n" > order< / span > < span class = "o" > ==< / span > < span class = "s2" > " pre" < / span > < span class = "p" > :< / span >
< a id = "__codelineno-14-46" name = "__codelineno-14-46" href = "#__codelineno-14-46" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > res< / span > < span class = "o" > .< / span > < span class = "n" > append< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-14-47" name = "__codelineno-14-47" href = "#__codelineno-14-47" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > left< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "n" > order< / span > < span class = "p" > )< / span >
< a id = "__codelineno-14-48" name = "__codelineno-14-48" href = "#__codelineno-14-48" > < / a > < span class = "c1" > # 中序遍历< / span >
< a id = "__codelineno-14-49" name = "__codelineno-14-49" href = "#__codelineno-14-49" > < / a > < span class = "k" > if< / span > < span class = "n" > order< / span > < span class = "o" > ==< / span > < span class = "s2" > " in" < / span > < span class = "p" > :< / span >
< a id = "__codelineno-14-50" name = "__codelineno-14-50" href = "#__codelineno-14-50" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > res< / span > < span class = "o" > .< / span > < span class = "n" > append< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-14-51" name = "__codelineno-14-51" href = "#__codelineno-14-51" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > right< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "n" > order< / span > < span class = "p" > )< / span >
< a id = "__codelineno-14-52" name = "__codelineno-14-52" href = "#__codelineno-14-52" > < / a > < span class = "c1" > # 后序遍历< / span >
< a id = "__codelineno-14-53" name = "__codelineno-14-53" href = "#__codelineno-14-53" > < / a > < span class = "k" > if< / span > < span class = "n" > order< / span > < span class = "o" > ==< / span > < span class = "s2" > " post" < / span > < span class = "p" > :< / span >
< a id = "__codelineno-14-54" name = "__codelineno-14-54" href = "#__codelineno-14-54" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > res< / span > < span class = "o" > .< / span > < span class = "n" > append< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-14-55" name = "__codelineno-14-55" href = "#__codelineno-14-55" > < / a >
< a id = "__codelineno-14-56" name = "__codelineno-14-56" href = "#__codelineno-14-56" > < / a > < span class = "k" > def< / span > < span class = "nf" > pre_order< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > )< / span > < span class = "o" > -> < / span > < span class = "nb" > list< / span > < span class = "p" > [< / span > < span class = "nb" > int< / span > < span class = "p" > ]:< / span >
< a id = "__codelineno-14-57" name = "__codelineno-14-57" href = "#__codelineno-14-57" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 前序遍历" " " < / span >
< a id = "__codelineno-14-58" name = "__codelineno-14-58" href = "#__codelineno-14-58" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > res< / span > < span class = "o" > =< / span > < span class = "p" > []< / span >
< a id = "__codelineno-14-59" name = "__codelineno-14-59" href = "#__codelineno-14-59" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "n" > order< / span > < span class = "o" > =< / span > < span class = "s2" > " pre" < / span > < span class = "p" > )< / span >
< a id = "__codelineno-14-60" name = "__codelineno-14-60" href = "#__codelineno-14-60" > < / a > < span class = "k" > return< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > res< / span >
< a id = "__codelineno-14-61" name = "__codelineno-14-61" href = "#__codelineno-14-61" > < / a >
< a id = "__codelineno-14-62" name = "__codelineno-14-62" href = "#__codelineno-14-62" > < / a > < span class = "k" > def< / span > < span class = "nf" > in_order< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > )< / span > < span class = "o" > -> < / span > < span class = "nb" > list< / span > < span class = "p" > [< / span > < span class = "nb" > int< / span > < span class = "p" > ]:< / span >
< a id = "__codelineno-14-63" name = "__codelineno-14-63" href = "#__codelineno-14-63" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 中序遍历" " " < / span >
< a id = "__codelineno-14-64" name = "__codelineno-14-64" href = "#__codelineno-14-64" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > res< / span > < span class = "o" > =< / span > < span class = "p" > []< / span >
< a id = "__codelineno-14-65" name = "__codelineno-14-65" href = "#__codelineno-14-65" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "n" > order< / span > < span class = "o" > =< / span > < span class = "s2" > " in" < / span > < span class = "p" > )< / span >
< a id = "__codelineno-14-66" name = "__codelineno-14-66" href = "#__codelineno-14-66" > < / a > < span class = "k" > return< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > res< / span >
< a id = "__codelineno-14-67" name = "__codelineno-14-67" href = "#__codelineno-14-67" > < / a >
< a id = "__codelineno-14-68" name = "__codelineno-14-68" href = "#__codelineno-14-68" > < / a > < span class = "k" > def< / span > < span class = "nf" > post_order< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > )< / span > < span class = "o" > -> < / span > < span class = "nb" > list< / span > < span class = "p" > [< / span > < span class = "nb" > int< / span > < span class = "p" > ]:< / span >
< a id = "__codelineno-14-69" name = "__codelineno-14-69" href = "#__codelineno-14-69" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 后序遍历" " " < / span >
< a id = "__codelineno-14-70" name = "__codelineno-14-70" href = "#__codelineno-14-70" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > res< / span > < span class = "o" > =< / span > < span class = "p" > []< / span >
< a id = "__codelineno-14-71" name = "__codelineno-14-71" href = "#__codelineno-14-71" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "n" > order< / span > < span class = "o" > =< / span > < span class = "s2" > " post" < / span > < span class = "p" > )< / span >
< a id = "__codelineno-14-72" name = "__codelineno-14-72" href = "#__codelineno-14-72" > < / a > < span class = "k" > return< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > res< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > array_binary_tree.cpp< / span > < pre > < span > < / span > < code > < a id = "__codelineno-15-1" name = "__codelineno-15-1" href = "#__codelineno-15-1" > < / a > < span class = "cm" > /* 数组表示下的二叉树类 */< / span >
< a id = "__codelineno-15-2" name = "__codelineno-15-2" href = "#__codelineno-15-2" > < / a > < span class = "k" > class< / span > < span class = "w" > < / span > < span class = "nc" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-3" name = "__codelineno-15-3" href = "#__codelineno-15-3" > < / a > < span class = "w" > < / span > < span class = "k" > public< / span > < span class = "o" > :< / span >
< a id = "__codelineno-15-4" name = "__codelineno-15-4" href = "#__codelineno-15-4" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 构造方法 */< / span >
< a id = "__codelineno-15-5" name = "__codelineno-15-5" href = "#__codelineno-15-5" > < / a > < span class = "w" > < / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "p" > (< / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > arr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-6" name = "__codelineno-15-6" href = "#__codelineno-15-6" > < / a > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > arr< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-7" name = "__codelineno-15-7" href = "#__codelineno-15-7" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-8" name = "__codelineno-15-8" href = "#__codelineno-15-8" > < / a >
< a id = "__codelineno-15-9" name = "__codelineno-15-9" href = "#__codelineno-15-9" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 列表容量 */< / span >
< a id = "__codelineno-15-10" name = "__codelineno-15-10" href = "#__codelineno-15-10" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-11" name = "__codelineno-15-11" href = "#__codelineno-15-11" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "p" > .< / span > < span class = "n" > size< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-15-12" name = "__codelineno-15-12" href = "#__codelineno-15-12" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-13" name = "__codelineno-15-13" href = "#__codelineno-15-13" > < / a >
< a id = "__codelineno-15-14" name = "__codelineno-15-14" href = "#__codelineno-15-14" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的值 */< / span >
< a id = "__codelineno-15-15" name = "__codelineno-15-15" href = "#__codelineno-15-15" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-16" name = "__codelineno-15-16" href = "#__codelineno-15-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若索引越界，则返回 INT_MAX ，代表空位< / span >
< a id = "__codelineno-15-17" name = "__codelineno-15-17" href = "#__codelineno-15-17" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > ())< / span >
< a id = "__codelineno-15-18" name = "__codelineno-15-18" href = "#__codelineno-15-18" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-19" name = "__codelineno-15-19" href = "#__codelineno-15-19" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-15-20" name = "__codelineno-15-20" href = "#__codelineno-15-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-21" name = "__codelineno-15-21" href = "#__codelineno-15-21" > < / a >
< a id = "__codelineno-15-22" name = "__codelineno-15-22" href = "#__codelineno-15-22" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的左子节点的索引 */< / span >
< a id = "__codelineno-15-23" name = "__codelineno-15-23" href = "#__codelineno-15-23" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > left< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-24" name = "__codelineno-15-24" href = "#__codelineno-15-24" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-25" name = "__codelineno-15-25" href = "#__codelineno-15-25" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-26" name = "__codelineno-15-26" href = "#__codelineno-15-26" > < / a >
< a id = "__codelineno-15-27" name = "__codelineno-15-27" href = "#__codelineno-15-27" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的右子节点的索引 */< / span >
< a id = "__codelineno-15-28" name = "__codelineno-15-28" href = "#__codelineno-15-28" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > right< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-29" name = "__codelineno-15-29" href = "#__codelineno-15-29" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-30" name = "__codelineno-15-30" href = "#__codelineno-15-30" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-31" name = "__codelineno-15-31" href = "#__codelineno-15-31" > < / a >
< a id = "__codelineno-15-32" name = "__codelineno-15-32" href = "#__codelineno-15-32" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的父节点的索引 */< / span >
< a id = "__codelineno-15-33" name = "__codelineno-15-33" href = "#__codelineno-15-33" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > parent< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-34" name = "__codelineno-15-34" href = "#__codelineno-15-34" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-35" name = "__codelineno-15-35" href = "#__codelineno-15-35" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-36" name = "__codelineno-15-36" href = "#__codelineno-15-36" > < / a >
< a id = "__codelineno-15-37" name = "__codelineno-15-37" href = "#__codelineno-15-37" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 层序遍历 */< / span >
< a id = "__codelineno-15-38" name = "__codelineno-15-38" href = "#__codelineno-15-38" > < / a > < span class = "w" > < / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > levelOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-39" name = "__codelineno-15-39" href = "#__codelineno-15-39" > < / a > < span class = "w" > < / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-40" name = "__codelineno-15-40" href = "#__codelineno-15-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 直接遍历数组< / span >
< a id = "__codelineno-15-41" name = "__codelineno-15-41" href = "#__codelineno-15-41" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > ();< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-42" name = "__codelineno-15-42" href = "#__codelineno-15-42" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > )< / span >
< a id = "__codelineno-15-43" name = "__codelineno-15-43" href = "#__codelineno-15-43" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > push_back< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-15-44" name = "__codelineno-15-44" href = "#__codelineno-15-44" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-45" name = "__codelineno-15-45" href = "#__codelineno-15-45" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-46" name = "__codelineno-15-46" href = "#__codelineno-15-46" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-47" name = "__codelineno-15-47" href = "#__codelineno-15-47" > < / a >
< a id = "__codelineno-15-48" name = "__codelineno-15-48" href = "#__codelineno-15-48" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 前序遍历 */< / span >
< a id = "__codelineno-15-49" name = "__codelineno-15-49" href = "#__codelineno-15-49" > < / a > < span class = "w" > < / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > preOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-50" name = "__codelineno-15-50" href = "#__codelineno-15-50" > < / a > < span class = "w" > < / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-51" name = "__codelineno-15-51" href = "#__codelineno-15-51" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " pre" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-15-52" name = "__codelineno-15-52" href = "#__codelineno-15-52" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-53" name = "__codelineno-15-53" href = "#__codelineno-15-53" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-54" name = "__codelineno-15-54" href = "#__codelineno-15-54" > < / a >
< a id = "__codelineno-15-55" name = "__codelineno-15-55" href = "#__codelineno-15-55" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 中序遍历 */< / span >
< a id = "__codelineno-15-56" name = "__codelineno-15-56" href = "#__codelineno-15-56" > < / a > < span class = "w" > < / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > inOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-57" name = "__codelineno-15-57" href = "#__codelineno-15-57" > < / a > < span class = "w" > < / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-58" name = "__codelineno-15-58" href = "#__codelineno-15-58" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " in" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-15-59" name = "__codelineno-15-59" href = "#__codelineno-15-59" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-60" name = "__codelineno-15-60" href = "#__codelineno-15-60" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-61" name = "__codelineno-15-61" href = "#__codelineno-15-61" > < / a >
< a id = "__codelineno-15-62" name = "__codelineno-15-62" href = "#__codelineno-15-62" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 后序遍历 */< / span >
< a id = "__codelineno-15-63" name = "__codelineno-15-63" href = "#__codelineno-15-63" > < / a > < span class = "w" > < / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > postOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-64" name = "__codelineno-15-64" href = "#__codelineno-15-64" > < / a > < span class = "w" > < / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-65" name = "__codelineno-15-65" href = "#__codelineno-15-65" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " post" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-15-66" name = "__codelineno-15-66" href = "#__codelineno-15-66" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-67" name = "__codelineno-15-67" href = "#__codelineno-15-67" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-68" name = "__codelineno-15-68" href = "#__codelineno-15-68" > < / a >
< a id = "__codelineno-15-69" name = "__codelineno-15-69" href = "#__codelineno-15-69" > < / a > < span class = "w" > < / span > < span class = "k" > private< / span > < span class = "o" > :< / span >
< a id = "__codelineno-15-70" name = "__codelineno-15-70" href = "#__codelineno-15-70" > < / a > < span class = "w" > < / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-71" name = "__codelineno-15-71" href = "#__codelineno-15-71" > < / a >
< a id = "__codelineno-15-72" name = "__codelineno-15-72" href = "#__codelineno-15-72" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 深度优先遍历 */< / span >
< a id = "__codelineno-15-73" name = "__codelineno-15-73" href = "#__codelineno-15-73" > < / a > < span class = "w" > < / span > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > dfs< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > string< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "o" > & < / span > < span class = "n" > res< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-74" name = "__codelineno-15-74" href = "#__codelineno-15-74" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若为空位，则返回< / span >
< a id = "__codelineno-15-75" name = "__codelineno-15-75" href = "#__codelineno-15-75" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > )< / span >
< a id = "__codelineno-15-76" name = "__codelineno-15-76" href = "#__codelineno-15-76" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-77" name = "__codelineno-15-77" href = "#__codelineno-15-77" > < / a > < span class = "w" > < / span > < span class = "c1" > // 前序遍历< / span >
< a id = "__codelineno-15-78" name = "__codelineno-15-78" href = "#__codelineno-15-78" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s" > " pre" < / span > < span class = "p" > )< / span >
< a id = "__codelineno-15-79" name = "__codelineno-15-79" href = "#__codelineno-15-79" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > push_back< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-15-80" name = "__codelineno-15-80" href = "#__codelineno-15-80" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > left< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-15-81" name = "__codelineno-15-81" href = "#__codelineno-15-81" > < / a > < span class = "w" > < / span > < span class = "c1" > // 中序遍历< / span >
< a id = "__codelineno-15-82" name = "__codelineno-15-82" href = "#__codelineno-15-82" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s" > " in" < / span > < span class = "p" > )< / span >
< a id = "__codelineno-15-83" name = "__codelineno-15-83" href = "#__codelineno-15-83" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > push_back< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-15-84" name = "__codelineno-15-84" href = "#__codelineno-15-84" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > right< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-15-85" name = "__codelineno-15-85" href = "#__codelineno-15-85" > < / a > < span class = "w" > < / span > < span class = "c1" > // 后序遍历< / span >
< a id = "__codelineno-15-86" name = "__codelineno-15-86" href = "#__codelineno-15-86" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s" > " post" < / span > < span class = "p" > )< / span >
< a id = "__codelineno-15-87" name = "__codelineno-15-87" href = "#__codelineno-15-87" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > push_back< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-15-88" name = "__codelineno-15-88" href = "#__codelineno-15-88" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-89" name = "__codelineno-15-89" href = "#__codelineno-15-89" > < / a > < span class = "p" > };< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > array_binary_tree.java< / span > < pre > < span > < / span > < code > < a id = "__codelineno-16-1" name = "__codelineno-16-1" href = "#__codelineno-16-1" > < / a > < span class = "cm" > /* 数组表示下的二叉树类 */< / span >
< a id = "__codelineno-16-2" name = "__codelineno-16-2" href = "#__codelineno-16-2" > < / a > < span class = "kd" > class< / span > < span class = "nc" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-3" name = "__codelineno-16-3" href = "#__codelineno-16-3" > < / a > < span class = "w" > < / span > < span class = "kd" > private< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "n" > Integer< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-16-4" name = "__codelineno-16-4" href = "#__codelineno-16-4" > < / a >
< a id = "__codelineno-16-5" name = "__codelineno-16-5" href = "#__codelineno-16-5" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 构造方法 */< / span >
< a id = "__codelineno-16-6" name = "__codelineno-16-6" href = "#__codelineno-16-6" > < / a > < span class = "w" > < / span > < span class = "kd" > public< / span > < span class = "w" > < / span > < span class = "nf" > ArrayBinaryTree< / span > < span class = "p" > (< / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "n" > Integer< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > arr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-7" name = "__codelineno-16-7" href = "#__codelineno-16-7" > < / a > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "n" > ArrayList< / span > < span class = "o" > < > < / span > < span class = "p" > (< / span > < span class = "n" > arr< / span > < span class = "p" > );< / span >
< a id = "__codelineno-16-8" name = "__codelineno-16-8" href = "#__codelineno-16-8" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-9" name = "__codelineno-16-9" href = "#__codelineno-16-9" > < / a >
< a id = "__codelineno-16-10" name = "__codelineno-16-10" href = "#__codelineno-16-10" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 列表容量 */< / span >
< a id = "__codelineno-16-11" name = "__codelineno-16-11" href = "#__codelineno-16-11" > < / a > < span class = "w" > < / span > < span class = "kd" > public< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "nf" > size< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-12" name = "__codelineno-16-12" href = "#__codelineno-16-12" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "p" > .< / span > < span class = "na" > size< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-16-13" name = "__codelineno-16-13" href = "#__codelineno-16-13" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-14" name = "__codelineno-16-14" href = "#__codelineno-16-14" > < / a >
< a id = "__codelineno-16-15" name = "__codelineno-16-15" href = "#__codelineno-16-15" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的值 */< / span >
< a id = "__codelineno-16-16" name = "__codelineno-16-16" href = "#__codelineno-16-16" > < / a > < span class = "w" > < / span > < span class = "kd" > public< / span > < span class = "w" > < / span > < span class = "n" > Integer< / span > < span class = "w" > < / span > < span class = "nf" > val< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-17" name = "__codelineno-16-17" href = "#__codelineno-16-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若索引越界，则返回 null ，代表空位< / span >
< a id = "__codelineno-16-18" name = "__codelineno-16-18" href = "#__codelineno-16-18" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > ())< / span >
< a id = "__codelineno-16-19" name = "__codelineno-16-19" href = "#__codelineno-16-19" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-16-20" name = "__codelineno-16-20" href = "#__codelineno-16-20" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "p" > .< / span > < span class = "na" > get< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > );< / span >
< a id = "__codelineno-16-21" name = "__codelineno-16-21" href = "#__codelineno-16-21" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-22" name = "__codelineno-16-22" href = "#__codelineno-16-22" > < / a >
< a id = "__codelineno-16-23" name = "__codelineno-16-23" href = "#__codelineno-16-23" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的左子节点的索引 */< / span >
< a id = "__codelineno-16-24" name = "__codelineno-16-24" href = "#__codelineno-16-24" > < / a > < span class = "w" > < / span > < span class = "kd" > public< / span > < span class = "w" > < / span > < span class = "n" > Integer< / span > < span class = "w" > < / span > < span class = "nf" > left< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-25" name = "__codelineno-16-25" href = "#__codelineno-16-25" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-16-26" name = "__codelineno-16-26" href = "#__codelineno-16-26" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-27" name = "__codelineno-16-27" href = "#__codelineno-16-27" > < / a >
< a id = "__codelineno-16-28" name = "__codelineno-16-28" href = "#__codelineno-16-28" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的右子节点的索引 */< / span >
< a id = "__codelineno-16-29" name = "__codelineno-16-29" href = "#__codelineno-16-29" > < / a > < span class = "w" > < / span > < span class = "kd" > public< / span > < span class = "w" > < / span > < span class = "n" > Integer< / span > < span class = "w" > < / span > < span class = "nf" > right< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-30" name = "__codelineno-16-30" href = "#__codelineno-16-30" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-16-31" name = "__codelineno-16-31" href = "#__codelineno-16-31" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-32" name = "__codelineno-16-32" href = "#__codelineno-16-32" > < / a >
< a id = "__codelineno-16-33" name = "__codelineno-16-33" href = "#__codelineno-16-33" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的父节点的索引 */< / span >
< a id = "__codelineno-16-34" name = "__codelineno-16-34" href = "#__codelineno-16-34" > < / a > < span class = "w" > < / span > < span class = "kd" > public< / span > < span class = "w" > < / span > < span class = "n" > Integer< / span > < span class = "w" > < / span > < span class = "nf" > parent< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-35" name = "__codelineno-16-35" href = "#__codelineno-16-35" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-16-36" name = "__codelineno-16-36" href = "#__codelineno-16-36" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-37" name = "__codelineno-16-37" href = "#__codelineno-16-37" > < / a >
< a id = "__codelineno-16-38" name = "__codelineno-16-38" href = "#__codelineno-16-38" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 层序遍历 */< / span >
< a id = "__codelineno-16-39" name = "__codelineno-16-39" href = "#__codelineno-16-39" > < / a > < span class = "w" > < / span > < span class = "kd" > public< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "n" > Integer< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "nf" > levelOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-40" name = "__codelineno-16-40" href = "#__codelineno-16-40" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "n" > Integer< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "n" > ArrayList< / span > < span class = "o" > < > < / span > < span class = "p" > ();< / span >
< a id = "__codelineno-16-41" name = "__codelineno-16-41" href = "#__codelineno-16-41" > < / a > < span class = "w" > < / span > < span class = "c1" > // 直接遍历数组< / span >
< a id = "__codelineno-16-42" name = "__codelineno-16-42" href = "#__codelineno-16-42" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > ();< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-43" name = "__codelineno-16-43" href = "#__codelineno-16-43" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span >
< a id = "__codelineno-16-44" name = "__codelineno-16-44" href = "#__codelineno-16-44" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "na" > add< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-16-45" name = "__codelineno-16-45" href = "#__codelineno-16-45" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-46" name = "__codelineno-16-46" href = "#__codelineno-16-46" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-16-47" name = "__codelineno-16-47" href = "#__codelineno-16-47" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-48" name = "__codelineno-16-48" href = "#__codelineno-16-48" > < / a >
< a id = "__codelineno-16-49" name = "__codelineno-16-49" href = "#__codelineno-16-49" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 深度优先遍历 */< / span >
< a id = "__codelineno-16-50" name = "__codelineno-16-50" href = "#__codelineno-16-50" > < / a > < span class = "w" > < / span > < span class = "kd" > private< / span > < span class = "w" > < / span > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > Integer< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > String< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "n" > Integer< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-51" name = "__codelineno-16-51" href = "#__codelineno-16-51" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若为空位，则返回< / span >
< a id = "__codelineno-16-52" name = "__codelineno-16-52" href = "#__codelineno-16-52" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span >
< a id = "__codelineno-16-53" name = "__codelineno-16-53" href = "#__codelineno-16-53" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-16-54" name = "__codelineno-16-54" href = "#__codelineno-16-54" > < / a > < span class = "w" > < / span > < span class = "c1" > // 前序遍历< / span >
< a id = "__codelineno-16-55" name = "__codelineno-16-55" href = "#__codelineno-16-55" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "s" > " pre" < / span > < span class = "p" > .< / span > < span class = "na" > equals< / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-16-56" name = "__codelineno-16-56" href = "#__codelineno-16-56" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "na" > add< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-16-57" name = "__codelineno-16-57" href = "#__codelineno-16-57" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > left< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-16-58" name = "__codelineno-16-58" href = "#__codelineno-16-58" > < / a > < span class = "w" > < / span > < span class = "c1" > // 中序遍历< / span >
< a id = "__codelineno-16-59" name = "__codelineno-16-59" href = "#__codelineno-16-59" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "s" > " in" < / span > < span class = "p" > .< / span > < span class = "na" > equals< / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-16-60" name = "__codelineno-16-60" href = "#__codelineno-16-60" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "na" > add< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-16-61" name = "__codelineno-16-61" href = "#__codelineno-16-61" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > right< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-16-62" name = "__codelineno-16-62" href = "#__codelineno-16-62" > < / a > < span class = "w" > < / span > < span class = "c1" > // 后序遍历< / span >
< a id = "__codelineno-16-63" name = "__codelineno-16-63" href = "#__codelineno-16-63" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "s" > " post" < / span > < span class = "p" > .< / span > < span class = "na" > equals< / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-16-64" name = "__codelineno-16-64" href = "#__codelineno-16-64" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "na" > add< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-16-65" name = "__codelineno-16-65" href = "#__codelineno-16-65" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-66" name = "__codelineno-16-66" href = "#__codelineno-16-66" > < / a >
< a id = "__codelineno-16-67" name = "__codelineno-16-67" href = "#__codelineno-16-67" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 前序遍历 */< / span >
< a id = "__codelineno-16-68" name = "__codelineno-16-68" href = "#__codelineno-16-68" > < / a > < span class = "w" > < / span > < span class = "kd" > public< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "n" > Integer< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "nf" > preOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-69" name = "__codelineno-16-69" href = "#__codelineno-16-69" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "n" > Integer< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "n" > ArrayList< / span > < span class = "o" > < > < / span > < span class = "p" > ();< / span >
< a id = "__codelineno-16-70" name = "__codelineno-16-70" href = "#__codelineno-16-70" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " pre" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-16-71" name = "__codelineno-16-71" href = "#__codelineno-16-71" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-16-72" name = "__codelineno-16-72" href = "#__codelineno-16-72" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-73" name = "__codelineno-16-73" href = "#__codelineno-16-73" > < / a >
< a id = "__codelineno-16-74" name = "__codelineno-16-74" href = "#__codelineno-16-74" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 中序遍历 */< / span >
< a id = "__codelineno-16-75" name = "__codelineno-16-75" href = "#__codelineno-16-75" > < / a > < span class = "w" > < / span > < span class = "kd" > public< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "n" > Integer< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "nf" > inOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-76" name = "__codelineno-16-76" href = "#__codelineno-16-76" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "n" > Integer< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "n" > ArrayList< / span > < span class = "o" > < > < / span > < span class = "p" > ();< / span >
< a id = "__codelineno-16-77" name = "__codelineno-16-77" href = "#__codelineno-16-77" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " in" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-16-78" name = "__codelineno-16-78" href = "#__codelineno-16-78" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-16-79" name = "__codelineno-16-79" href = "#__codelineno-16-79" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-80" name = "__codelineno-16-80" href = "#__codelineno-16-80" > < / a >
< a id = "__codelineno-16-81" name = "__codelineno-16-81" href = "#__codelineno-16-81" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 后序遍历 */< / span >
< a id = "__codelineno-16-82" name = "__codelineno-16-82" href = "#__codelineno-16-82" > < / a > < span class = "w" > < / span > < span class = "kd" > public< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "n" > Integer< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "nf" > postOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-83" name = "__codelineno-16-83" href = "#__codelineno-16-83" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "n" > Integer< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "n" > ArrayList< / span > < span class = "o" > < > < / span > < span class = "p" > ();< / span >
< a id = "__codelineno-16-84" name = "__codelineno-16-84" href = "#__codelineno-16-84" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " post" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-16-85" name = "__codelineno-16-85" href = "#__codelineno-16-85" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-16-86" name = "__codelineno-16-86" href = "#__codelineno-16-86" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-87" name = "__codelineno-16-87" href = "#__codelineno-16-87" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > array_binary_tree.cs< / span > < pre > < span > < / span > < code > < a id = "__codelineno-17-1" name = "__codelineno-17-1" href = "#__codelineno-17-1" > < / a > < span class = "cm" > /* 数组表示下的二叉树类 */< / span >
< a id = "__codelineno-17-2" name = "__codelineno-17-2" href = "#__codelineno-17-2" > < / a > < span class = "k" > class< / span > < span class = "w" > < / span > < span class = "nf" > ArrayBinaryTree< / span > < span class = "p" > (< / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int?< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > arr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-3" name = "__codelineno-17-3" href = "#__codelineno-17-3" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int?< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "p" > (< / span > < span class = "n" > arr< / span > < span class = "p" > );< / span >
< a id = "__codelineno-17-4" name = "__codelineno-17-4" href = "#__codelineno-17-4" > < / a >
< a id = "__codelineno-17-5" name = "__codelineno-17-5" href = "#__codelineno-17-5" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 列表容量 */< / span >
< a id = "__codelineno-17-6" name = "__codelineno-17-6" href = "#__codelineno-17-6" > < / a > < span class = "w" > < / span > < span class = "k" > public< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "nf" > Size< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-7" name = "__codelineno-17-7" href = "#__codelineno-17-7" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "p" > .< / span > < span class = "n" > Count< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-17-8" name = "__codelineno-17-8" href = "#__codelineno-17-8" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-9" name = "__codelineno-17-9" href = "#__codelineno-17-9" > < / a >
< a id = "__codelineno-17-10" name = "__codelineno-17-10" href = "#__codelineno-17-10" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的值 */< / span >
< a id = "__codelineno-17-11" name = "__codelineno-17-11" href = "#__codelineno-17-11" > < / a > < span class = "w" > < / span > < span class = "k" > public< / span > < span class = "w" > < / span > < span class = "kt" > int?< / span > < span class = "w" > < / span > < span class = "n" > Val< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-12" name = "__codelineno-17-12" href = "#__codelineno-17-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若索引越界，则返回 null ，代表空位< / span >
< a id = "__codelineno-17-13" name = "__codelineno-17-13" href = "#__codelineno-17-13" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "m" > 0< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "n" > Size< / span > < span class = "p" > ())< / span >
< a id = "__codelineno-17-14" name = "__codelineno-17-14" href = "#__codelineno-17-14" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-17-15" name = "__codelineno-17-15" href = "#__codelineno-17-15" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-17-16" name = "__codelineno-17-16" href = "#__codelineno-17-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-17" name = "__codelineno-17-17" href = "#__codelineno-17-17" > < / a >
< a id = "__codelineno-17-18" name = "__codelineno-17-18" href = "#__codelineno-17-18" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的左子节点的索引 */< / span >
< a id = "__codelineno-17-19" name = "__codelineno-17-19" href = "#__codelineno-17-19" > < / a > < span class = "w" > < / span > < span class = "k" > public< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "nf" > Left< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-20" name = "__codelineno-17-20" href = "#__codelineno-17-20" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "m" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-17-21" name = "__codelineno-17-21" href = "#__codelineno-17-21" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-22" name = "__codelineno-17-22" href = "#__codelineno-17-22" > < / a >
< a id = "__codelineno-17-23" name = "__codelineno-17-23" href = "#__codelineno-17-23" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的右子节点的索引 */< / span >
< a id = "__codelineno-17-24" name = "__codelineno-17-24" href = "#__codelineno-17-24" > < / a > < span class = "w" > < / span > < span class = "k" > public< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "nf" > Right< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-25" name = "__codelineno-17-25" href = "#__codelineno-17-25" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "m" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "m" > 2< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-17-26" name = "__codelineno-17-26" href = "#__codelineno-17-26" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-27" name = "__codelineno-17-27" href = "#__codelineno-17-27" > < / a >
< a id = "__codelineno-17-28" name = "__codelineno-17-28" href = "#__codelineno-17-28" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的父节点的索引 */< / span >
< a id = "__codelineno-17-29" name = "__codelineno-17-29" href = "#__codelineno-17-29" > < / a > < span class = "w" > < / span > < span class = "k" > public< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "nf" > Parent< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-30" name = "__codelineno-17-30" href = "#__codelineno-17-30" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "m" > 2< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-17-31" name = "__codelineno-17-31" href = "#__codelineno-17-31" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-32" name = "__codelineno-17-32" href = "#__codelineno-17-32" > < / a >
< a id = "__codelineno-17-33" name = "__codelineno-17-33" href = "#__codelineno-17-33" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 层序遍历 */< / span >
< a id = "__codelineno-17-34" name = "__codelineno-17-34" href = "#__codelineno-17-34" > < / a > < span class = "w" > < / span > < span class = "k" > public< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > LevelOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-35" name = "__codelineno-17-35" href = "#__codelineno-17-35" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-17-36" name = "__codelineno-17-36" href = "#__codelineno-17-36" > < / a > < span class = "w" > < / span > < span class = "c1" > // 直接遍历数组< / span >
< a id = "__codelineno-17-37" name = "__codelineno-17-37" href = "#__codelineno-17-37" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "m" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > Size< / span > < span class = "p" > ();< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-38" name = "__codelineno-17-38" href = "#__codelineno-17-38" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > Val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ).< / span > < span class = "n" > HasValue< / span > < span class = "p" > )< / span >
< a id = "__codelineno-17-39" name = "__codelineno-17-39" href = "#__codelineno-17-39" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > Add< / span > < span class = "p" > (< / span > < span class = "n" > Val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "n" > Value< / span > < span class = "p" > );< / span >
< a id = "__codelineno-17-40" name = "__codelineno-17-40" href = "#__codelineno-17-40" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-41" name = "__codelineno-17-41" href = "#__codelineno-17-41" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-17-42" name = "__codelineno-17-42" href = "#__codelineno-17-42" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-43" name = "__codelineno-17-43" href = "#__codelineno-17-43" > < / a >
< a id = "__codelineno-17-44" name = "__codelineno-17-44" href = "#__codelineno-17-44" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 深度优先遍历 */< / span >
< a id = "__codelineno-17-45" name = "__codelineno-17-45" href = "#__codelineno-17-45" > < / a > < span class = "w" > < / span > < span class = "k" > void< / span > < span class = "w" > < / span > < span class = "nf" > DFS< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > string< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-46" name = "__codelineno-17-46" href = "#__codelineno-17-46" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若为空位，则返回< / span >
< a id = "__codelineno-17-47" name = "__codelineno-17-47" href = "#__codelineno-17-47" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "o" > !< / span > < span class = "n" > Val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ).< / span > < span class = "n" > HasValue< / span > < span class = "p" > )< / span >
< a id = "__codelineno-17-48" name = "__codelineno-17-48" href = "#__codelineno-17-48" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-17-49" name = "__codelineno-17-49" href = "#__codelineno-17-49" > < / a > < span class = "w" > < / span > < span class = "c1" > // 前序遍历< / span >
< a id = "__codelineno-17-50" name = "__codelineno-17-50" href = "#__codelineno-17-50" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s" > " pre" < / span > < span class = "p" > )< / span >
< a id = "__codelineno-17-51" name = "__codelineno-17-51" href = "#__codelineno-17-51" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > Add< / span > < span class = "p" > (< / span > < span class = "n" > Val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "n" > Value< / span > < span class = "p" > );< / span >
< a id = "__codelineno-17-52" name = "__codelineno-17-52" href = "#__codelineno-17-52" > < / a > < span class = "w" > < / span > < span class = "n" > DFS< / span > < span class = "p" > (< / span > < span class = "n" > Left< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-17-53" name = "__codelineno-17-53" href = "#__codelineno-17-53" > < / a > < span class = "w" > < / span > < span class = "c1" > // 中序遍历< / span >
< a id = "__codelineno-17-54" name = "__codelineno-17-54" href = "#__codelineno-17-54" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s" > " in" < / span > < span class = "p" > )< / span >
< a id = "__codelineno-17-55" name = "__codelineno-17-55" href = "#__codelineno-17-55" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > Add< / span > < span class = "p" > (< / span > < span class = "n" > Val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "n" > Value< / span > < span class = "p" > );< / span >
< a id = "__codelineno-17-56" name = "__codelineno-17-56" href = "#__codelineno-17-56" > < / a > < span class = "w" > < / span > < span class = "n" > DFS< / span > < span class = "p" > (< / span > < span class = "n" > Right< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-17-57" name = "__codelineno-17-57" href = "#__codelineno-17-57" > < / a > < span class = "w" > < / span > < span class = "c1" > // 后序遍历< / span >
< a id = "__codelineno-17-58" name = "__codelineno-17-58" href = "#__codelineno-17-58" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s" > " post" < / span > < span class = "p" > )< / span >
< a id = "__codelineno-17-59" name = "__codelineno-17-59" href = "#__codelineno-17-59" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > Add< / span > < span class = "p" > (< / span > < span class = "n" > Val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "n" > Value< / span > < span class = "p" > );< / span >
< a id = "__codelineno-17-60" name = "__codelineno-17-60" href = "#__codelineno-17-60" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-61" name = "__codelineno-17-61" href = "#__codelineno-17-61" > < / a >
< a id = "__codelineno-17-62" name = "__codelineno-17-62" href = "#__codelineno-17-62" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 前序遍历 */< / span >
< a id = "__codelineno-17-63" name = "__codelineno-17-63" href = "#__codelineno-17-63" > < / a > < span class = "w" > < / span > < span class = "k" > public< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > PreOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-64" name = "__codelineno-17-64" href = "#__codelineno-17-64" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-17-65" name = "__codelineno-17-65" href = "#__codelineno-17-65" > < / a > < span class = "w" > < / span > < span class = "n" > DFS< / span > < span class = "p" > (< / span > < span class = "m" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " pre" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-17-66" name = "__codelineno-17-66" href = "#__codelineno-17-66" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-17-67" name = "__codelineno-17-67" href = "#__codelineno-17-67" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-68" name = "__codelineno-17-68" href = "#__codelineno-17-68" > < / a >
< a id = "__codelineno-17-69" name = "__codelineno-17-69" href = "#__codelineno-17-69" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 中序遍历 */< / span >
< a id = "__codelineno-17-70" name = "__codelineno-17-70" href = "#__codelineno-17-70" > < / a > < span class = "w" > < / span > < span class = "k" > public< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > InOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-71" name = "__codelineno-17-71" href = "#__codelineno-17-71" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-17-72" name = "__codelineno-17-72" href = "#__codelineno-17-72" > < / a > < span class = "w" > < / span > < span class = "n" > DFS< / span > < span class = "p" > (< / span > < span class = "m" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " in" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-17-73" name = "__codelineno-17-73" href = "#__codelineno-17-73" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-17-74" name = "__codelineno-17-74" href = "#__codelineno-17-74" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-75" name = "__codelineno-17-75" href = "#__codelineno-17-75" > < / a >
< a id = "__codelineno-17-76" name = "__codelineno-17-76" href = "#__codelineno-17-76" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 后序遍历 */< / span >
< a id = "__codelineno-17-77" name = "__codelineno-17-77" href = "#__codelineno-17-77" > < / a > < span class = "w" > < / span > < span class = "k" > public< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > PostOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-78" name = "__codelineno-17-78" href = "#__codelineno-17-78" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-17-79" name = "__codelineno-17-79" href = "#__codelineno-17-79" > < / a > < span class = "w" > < / span > < span class = "n" > DFS< / span > < span class = "p" > (< / span > < span class = "m" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " post" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-17-80" name = "__codelineno-17-80" href = "#__codelineno-17-80" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-17-81" name = "__codelineno-17-81" href = "#__codelineno-17-81" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-82" name = "__codelineno-17-82" href = "#__codelineno-17-82" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > array_binary_tree.go< / span > < pre > < span > < / span > < code > < a id = "__codelineno-18-1" name = "__codelineno-18-1" href = "#__codelineno-18-1" > < / a > < span class = "cm" > /* 数组表示下的二叉树类 */< / span >
< a id = "__codelineno-18-2" name = "__codelineno-18-2" href = "#__codelineno-18-2" > < / a > < span class = "kd" > type< / span > < span class = "w" > < / span > < span class = "nx" > arrayBinaryTree< / span > < span class = "w" > < / span > < span class = "kd" > struct< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-3" name = "__codelineno-18-3" href = "#__codelineno-18-3" > < / a > < span class = "w" > < / span > < span class = "nx" > tree< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > any< / span >
< a id = "__codelineno-18-4" name = "__codelineno-18-4" href = "#__codelineno-18-4" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-18-5" name = "__codelineno-18-5" href = "#__codelineno-18-5" > < / a >
< a id = "__codelineno-18-6" name = "__codelineno-18-6" href = "#__codelineno-18-6" > < / a > < span class = "cm" > /* 构造方法 */< / span >
< a id = "__codelineno-18-7" name = "__codelineno-18-7" href = "#__codelineno-18-7" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "nx" > newArrayBinaryTree< / span > < span class = "p" > (< / span > < span class = "nx" > arr< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > any< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > arrayBinaryTree< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-8" name = "__codelineno-18-8" href = "#__codelineno-18-8" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "o" > & < / span > < span class = "nx" > arrayBinaryTree< / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-9" name = "__codelineno-18-9" href = "#__codelineno-18-9" > < / a > < span class = "w" > < / span > < span class = "nx" > tree< / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "nx" > arr< / span > < span class = "p" > ,< / span >
< a id = "__codelineno-18-10" name = "__codelineno-18-10" href = "#__codelineno-18-10" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-18-11" name = "__codelineno-18-11" href = "#__codelineno-18-11" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-18-12" name = "__codelineno-18-12" href = "#__codelineno-18-12" > < / a >
< a id = "__codelineno-18-13" name = "__codelineno-18-13" href = "#__codelineno-18-13" > < / a > < span class = "cm" > /* 列表容量 */< / span >
< a id = "__codelineno-18-14" name = "__codelineno-18-14" href = "#__codelineno-18-14" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > abt< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > arrayBinaryTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > size< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-15" name = "__codelineno-18-15" href = "#__codelineno-18-15" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nb" > len< / span > < span class = "p" > (< / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > tree< / span > < span class = "p" > )< / span >
< a id = "__codelineno-18-16" name = "__codelineno-18-16" href = "#__codelineno-18-16" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-18-17" name = "__codelineno-18-17" href = "#__codelineno-18-17" > < / a >
< a id = "__codelineno-18-18" name = "__codelineno-18-18" href = "#__codelineno-18-18" > < / a > < span class = "cm" > /* 获取索引为 i 节点的值 */< / span >
< a id = "__codelineno-18-19" name = "__codelineno-18-19" href = "#__codelineno-18-19" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > abt< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > arrayBinaryTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "kt" > any< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-20" name = "__codelineno-18-20" href = "#__codelineno-18-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若索引越界，则返回 null ，代表空位< / span >
< a id = "__codelineno-18-21" name = "__codelineno-18-21" href = "#__codelineno-18-21" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "p" > < < / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > size< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-22" name = "__codelineno-18-22" href = "#__codelineno-18-22" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span >
< a id = "__codelineno-18-23" name = "__codelineno-18-23" href = "#__codelineno-18-23" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-18-24" name = "__codelineno-18-24" href = "#__codelineno-18-24" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > tree< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ]< / span >
< a id = "__codelineno-18-25" name = "__codelineno-18-25" href = "#__codelineno-18-25" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-18-26" name = "__codelineno-18-26" href = "#__codelineno-18-26" > < / a >
< a id = "__codelineno-18-27" name = "__codelineno-18-27" href = "#__codelineno-18-27" > < / a > < span class = "cm" > /* 获取索引为 i 节点的左子节点的索引 */< / span >
< a id = "__codelineno-18-28" name = "__codelineno-18-28" href = "#__codelineno-18-28" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > abt< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > arrayBinaryTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > left< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-29" name = "__codelineno-18-29" href = "#__codelineno-18-29" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "o" > *< / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span >
< a id = "__codelineno-18-30" name = "__codelineno-18-30" href = "#__codelineno-18-30" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-18-31" name = "__codelineno-18-31" href = "#__codelineno-18-31" > < / a >
< a id = "__codelineno-18-32" name = "__codelineno-18-32" href = "#__codelineno-18-32" > < / a > < span class = "cm" > /* 获取索引为 i 节点的右子节点的索引 */< / span >
< a id = "__codelineno-18-33" name = "__codelineno-18-33" href = "#__codelineno-18-33" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > abt< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > arrayBinaryTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > right< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-34" name = "__codelineno-18-34" href = "#__codelineno-18-34" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "o" > *< / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span >
< a id = "__codelineno-18-35" name = "__codelineno-18-35" href = "#__codelineno-18-35" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-18-36" name = "__codelineno-18-36" href = "#__codelineno-18-36" > < / a >
< a id = "__codelineno-18-37" name = "__codelineno-18-37" href = "#__codelineno-18-37" > < / a > < span class = "cm" > /* 获取索引为 i 节点的父节点的索引 */< / span >
< a id = "__codelineno-18-38" name = "__codelineno-18-38" href = "#__codelineno-18-38" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > abt< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > arrayBinaryTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > parent< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-39" name = "__codelineno-18-39" href = "#__codelineno-18-39" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span >
< a id = "__codelineno-18-40" name = "__codelineno-18-40" href = "#__codelineno-18-40" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-18-41" name = "__codelineno-18-41" href = "#__codelineno-18-41" > < / a >
< a id = "__codelineno-18-42" name = "__codelineno-18-42" href = "#__codelineno-18-42" > < / a > < span class = "cm" > /* 层序遍历 */< / span >
< a id = "__codelineno-18-43" name = "__codelineno-18-43" href = "#__codelineno-18-43" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > abt< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > arrayBinaryTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > levelOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > any< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-44" name = "__codelineno-18-44" href = "#__codelineno-18-44" > < / a > < span class = "w" > < / span > < span class = "kd" > var< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > any< / span >
< a id = "__codelineno-18-45" name = "__codelineno-18-45" href = "#__codelineno-18-45" > < / a > < span class = "w" > < / span > < span class = "c1" > // 直接遍历数组< / span >
< a id = "__codelineno-18-46" name = "__codelineno-18-46" href = "#__codelineno-18-46" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "p" > < < / span > < span class = "w" > < / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > size< / span > < span class = "p" > ();< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > ++< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-47" name = "__codelineno-18-47" href = "#__codelineno-18-47" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-48" name = "__codelineno-18-48" href = "#__codelineno-18-48" > < / a > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nb" > append< / span > < span class = "p" > (< / span > < span class = "nx" > res< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-18-49" name = "__codelineno-18-49" href = "#__codelineno-18-49" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-18-50" name = "__codelineno-18-50" href = "#__codelineno-18-50" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-18-51" name = "__codelineno-18-51" href = "#__codelineno-18-51" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > res< / span >
< a id = "__codelineno-18-52" name = "__codelineno-18-52" href = "#__codelineno-18-52" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-18-53" name = "__codelineno-18-53" href = "#__codelineno-18-53" > < / a >
< a id = "__codelineno-18-54" name = "__codelineno-18-54" href = "#__codelineno-18-54" > < / a > < span class = "cm" > /* 深度优先遍历 */< / span >
< a id = "__codelineno-18-55" name = "__codelineno-18-55" href = "#__codelineno-18-55" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > abt< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > arrayBinaryTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > order< / span > < span class = "w" > < / span > < span class = "kt" > string< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "p" > []< / span > < span class = "kt" > any< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-56" name = "__codelineno-18-56" href = "#__codelineno-18-56" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若为空位，则返回< / span >
< a id = "__codelineno-18-57" name = "__codelineno-18-57" href = "#__codelineno-18-57" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-58" name = "__codelineno-18-58" href = "#__codelineno-18-58" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span >
< a id = "__codelineno-18-59" name = "__codelineno-18-59" href = "#__codelineno-18-59" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-18-60" name = "__codelineno-18-60" href = "#__codelineno-18-60" > < / a > < span class = "w" > < / span > < span class = "c1" > // 前序遍历< / span >
< a id = "__codelineno-18-61" name = "__codelineno-18-61" href = "#__codelineno-18-61" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s" > " pre" < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-62" name = "__codelineno-18-62" href = "#__codelineno-18-62" > < / a > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nb" > append< / span > < span class = "p" > (< / span > < span class = "o" > *< / span > < span class = "nx" > res< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-18-63" name = "__codelineno-18-63" href = "#__codelineno-18-63" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-18-64" name = "__codelineno-18-64" href = "#__codelineno-18-64" > < / a > < span class = "w" > < / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nx" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-18-65" name = "__codelineno-18-65" href = "#__codelineno-18-65" > < / a > < span class = "w" > < / span > < span class = "c1" > // 中序遍历< / span >
< a id = "__codelineno-18-66" name = "__codelineno-18-66" href = "#__codelineno-18-66" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s" > " in" < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-67" name = "__codelineno-18-67" href = "#__codelineno-18-67" > < / a > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nb" > append< / span > < span class = "p" > (< / span > < span class = "o" > *< / span > < span class = "nx" > res< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-18-68" name = "__codelineno-18-68" href = "#__codelineno-18-68" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-18-69" name = "__codelineno-18-69" href = "#__codelineno-18-69" > < / a > < span class = "w" > < / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nx" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-18-70" name = "__codelineno-18-70" href = "#__codelineno-18-70" > < / a > < span class = "w" > < / span > < span class = "c1" > // 后序遍历< / span >
< a id = "__codelineno-18-71" name = "__codelineno-18-71" href = "#__codelineno-18-71" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s" > " post" < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-72" name = "__codelineno-18-72" href = "#__codelineno-18-72" > < / a > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nb" > append< / span > < span class = "p" > (< / span > < span class = "o" > *< / span > < span class = "nx" > res< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-18-73" name = "__codelineno-18-73" href = "#__codelineno-18-73" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-18-74" name = "__codelineno-18-74" href = "#__codelineno-18-74" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-18-75" name = "__codelineno-18-75" href = "#__codelineno-18-75" > < / a >
< a id = "__codelineno-18-76" name = "__codelineno-18-76" href = "#__codelineno-18-76" > < / a > < span class = "cm" > /* 前序遍历 */< / span >
< a id = "__codelineno-18-77" name = "__codelineno-18-77" href = "#__codelineno-18-77" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > abt< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > arrayBinaryTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > preOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > any< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-78" name = "__codelineno-18-78" href = "#__codelineno-18-78" > < / a > < span class = "w" > < / span > < span class = "kd" > var< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > any< / span >
< a id = "__codelineno-18-79" name = "__codelineno-18-79" href = "#__codelineno-18-79" > < / a > < span class = "w" > < / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " pre" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > & < / span > < span class = "nx" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-18-80" name = "__codelineno-18-80" href = "#__codelineno-18-80" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > res< / span >
< a id = "__codelineno-18-81" name = "__codelineno-18-81" href = "#__codelineno-18-81" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-18-82" name = "__codelineno-18-82" href = "#__codelineno-18-82" > < / a >
< a id = "__codelineno-18-83" name = "__codelineno-18-83" href = "#__codelineno-18-83" > < / a > < span class = "cm" > /* 中序遍历 */< / span >
< a id = "__codelineno-18-84" name = "__codelineno-18-84" href = "#__codelineno-18-84" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > abt< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > arrayBinaryTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > inOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > any< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-85" name = "__codelineno-18-85" href = "#__codelineno-18-85" > < / a > < span class = "w" > < / span > < span class = "kd" > var< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > any< / span >
< a id = "__codelineno-18-86" name = "__codelineno-18-86" href = "#__codelineno-18-86" > < / a > < span class = "w" > < / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " in" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > & < / span > < span class = "nx" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-18-87" name = "__codelineno-18-87" href = "#__codelineno-18-87" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > res< / span >
< a id = "__codelineno-18-88" name = "__codelineno-18-88" href = "#__codelineno-18-88" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-18-89" name = "__codelineno-18-89" href = "#__codelineno-18-89" > < / a >
< a id = "__codelineno-18-90" name = "__codelineno-18-90" href = "#__codelineno-18-90" > < / a > < span class = "cm" > /* 后序遍历 */< / span >
< a id = "__codelineno-18-91" name = "__codelineno-18-91" href = "#__codelineno-18-91" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > abt< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > arrayBinaryTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > postOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > any< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-92" name = "__codelineno-18-92" href = "#__codelineno-18-92" > < / a > < span class = "w" > < / span > < span class = "kd" > var< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > any< / span >
< a id = "__codelineno-18-93" name = "__codelineno-18-93" href = "#__codelineno-18-93" > < / a > < span class = "w" > < / span > < span class = "nx" > abt< / span > < span class = "p" > .< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " post" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > & < / span > < span class = "nx" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-18-94" name = "__codelineno-18-94" href = "#__codelineno-18-94" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > res< / span >
< a id = "__codelineno-18-95" name = "__codelineno-18-95" href = "#__codelineno-18-95" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > array_binary_tree.swift< / span > < pre > < span > < / span > < code > < a id = "__codelineno-19-1" name = "__codelineno-19-1" href = "#__codelineno-19-1" > < / a > < span class = "cm" > /* 数组表示下的二叉树类 */< / span >
< a id = "__codelineno-19-2" name = "__codelineno-19-2" href = "#__codelineno-19-2" > < / a > < span class = "kd" > class< / span > < span class = "nc" > ArrayBinaryTree< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-3" name = "__codelineno-19-3" href = "#__codelineno-19-3" > < / a > < span class = "kd" > private< / span > < span class = "kd" > var< / span > < span class = "nv" > tree< / span > < span class = "p" > :< / span > < span class = "p" > [< / span > < span class = "nb" > Int< / span > < span class = "p" > ?]< / span >
< a id = "__codelineno-19-4" name = "__codelineno-19-4" href = "#__codelineno-19-4" > < / a >
< a id = "__codelineno-19-5" name = "__codelineno-19-5" href = "#__codelineno-19-5" > < / a > < span class = "cm" > /* 构造方法 */< / span >
< a id = "__codelineno-19-6" name = "__codelineno-19-6" href = "#__codelineno-19-6" > < / a > < span class = "kd" > init< / span > < span class = "p" > (< / span > < span class = "n" > arr< / span > < span class = "p" > :< / span > < span class = "p" > [< / span > < span class = "nb" > Int< / span > < span class = "p" > ?])< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-7" name = "__codelineno-19-7" href = "#__codelineno-19-7" > < / a > < span class = "n" > tree< / span > < span class = "p" > =< / span > < span class = "n" > arr< / span >
< a id = "__codelineno-19-8" name = "__codelineno-19-8" href = "#__codelineno-19-8" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-9" name = "__codelineno-19-9" href = "#__codelineno-19-9" > < / a >
< a id = "__codelineno-19-10" name = "__codelineno-19-10" href = "#__codelineno-19-10" > < / a > < span class = "cm" > /* 列表容量 */< / span >
< a id = "__codelineno-19-11" name = "__codelineno-19-11" href = "#__codelineno-19-11" > < / a > < span class = "kd" > func< / span > < span class = "nf" > size< / span > < span class = "p" > ()< / span > < span class = "p" > -> < / span > < span class = "nb" > Int< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-12" name = "__codelineno-19-12" href = "#__codelineno-19-12" > < / a > < span class = "n" > tree< / span > < span class = "p" > .< / span > < span class = "bp" > count< / span >
< a id = "__codelineno-19-13" name = "__codelineno-19-13" href = "#__codelineno-19-13" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-14" name = "__codelineno-19-14" href = "#__codelineno-19-14" > < / a >
< a id = "__codelineno-19-15" name = "__codelineno-19-15" href = "#__codelineno-19-15" > < / a > < span class = "cm" > /* 获取索引为 i 节点的值 */< / span >
< a id = "__codelineno-19-16" name = "__codelineno-19-16" href = "#__codelineno-19-16" > < / a > < span class = "kd" > func< / span > < span class = "nf" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "nb" > Int< / span > < span class = "p" > )< / span > < span class = "p" > -> < / span > < span class = "nb" > Int< / span > < span class = "p" > ?< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-17" name = "__codelineno-19-17" href = "#__codelineno-19-17" > < / a > < span class = "c1" > // 若索引越界，则返回 null ，代表空位< / span >
< a id = "__codelineno-19-18" name = "__codelineno-19-18" href = "#__codelineno-19-18" > < / a > < span class = "k" > if< / span > < span class = "n" > i< / span > < span class = "o" > < < / span > < span class = "mi" > 0< / span > < span class = "o" > ||< / span > < span class = "n" > i< / span > < span class = "o" > > =< / span > < span class = "n" > size< / span > < span class = "p" > ()< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-19" name = "__codelineno-19-19" href = "#__codelineno-19-19" > < / a > < span class = "k" > return< / span > < span class = "kc" > nil< / span >
< a id = "__codelineno-19-20" name = "__codelineno-19-20" href = "#__codelineno-19-20" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-21" name = "__codelineno-19-21" href = "#__codelineno-19-21" > < / a > < span class = "k" > return< / span > < span class = "n" > tree< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span >
< a id = "__codelineno-19-22" name = "__codelineno-19-22" href = "#__codelineno-19-22" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-23" name = "__codelineno-19-23" href = "#__codelineno-19-23" > < / a >
< a id = "__codelineno-19-24" name = "__codelineno-19-24" href = "#__codelineno-19-24" > < / a > < span class = "cm" > /* 获取索引为 i 节点的左子节点的索引 */< / span >
< a id = "__codelineno-19-25" name = "__codelineno-19-25" href = "#__codelineno-19-25" > < / a > < span class = "kd" > func< / span > < span class = "nf" > left< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "nb" > Int< / span > < span class = "p" > )< / span > < span class = "p" > -> < / span > < span class = "nb" > Int< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-26" name = "__codelineno-19-26" href = "#__codelineno-19-26" > < / a > < span class = "mi" > 2< / span > < span class = "o" > *< / span > < span class = "n" > i< / span > < span class = "o" > +< / span > < span class = "mi" > 1< / span >
< a id = "__codelineno-19-27" name = "__codelineno-19-27" href = "#__codelineno-19-27" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-28" name = "__codelineno-19-28" href = "#__codelineno-19-28" > < / a >
< a id = "__codelineno-19-29" name = "__codelineno-19-29" href = "#__codelineno-19-29" > < / a > < span class = "cm" > /* 获取索引为 i 节点的右子节点的索引 */< / span >
< a id = "__codelineno-19-30" name = "__codelineno-19-30" href = "#__codelineno-19-30" > < / a > < span class = "kd" > func< / span > < span class = "nf" > right< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "nb" > Int< / span > < span class = "p" > )< / span > < span class = "p" > -> < / span > < span class = "nb" > Int< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-31" name = "__codelineno-19-31" href = "#__codelineno-19-31" > < / a > < span class = "mi" > 2< / span > < span class = "o" > *< / span > < span class = "n" > i< / span > < span class = "o" > +< / span > < span class = "mi" > 2< / span >
< a id = "__codelineno-19-32" name = "__codelineno-19-32" href = "#__codelineno-19-32" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-33" name = "__codelineno-19-33" href = "#__codelineno-19-33" > < / a >
< a id = "__codelineno-19-34" name = "__codelineno-19-34" href = "#__codelineno-19-34" > < / a > < span class = "cm" > /* 获取索引为 i 节点的父节点的索引 */< / span >
< a id = "__codelineno-19-35" name = "__codelineno-19-35" href = "#__codelineno-19-35" > < / a > < span class = "kd" > func< / span > < span class = "nf" > parent< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "nb" > Int< / span > < span class = "p" > )< / span > < span class = "p" > -> < / span > < span class = "nb" > Int< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-36" name = "__codelineno-19-36" href = "#__codelineno-19-36" > < / a > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "o" > -< / span > < span class = "mi" > 1< / span > < span class = "p" > )< / span > < span class = "o" > /< / span > < span class = "mi" > 2< / span >
< a id = "__codelineno-19-37" name = "__codelineno-19-37" href = "#__codelineno-19-37" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-38" name = "__codelineno-19-38" href = "#__codelineno-19-38" > < / a >
< a id = "__codelineno-19-39" name = "__codelineno-19-39" href = "#__codelineno-19-39" > < / a > < span class = "cm" > /* 层序遍历 */< / span >
< a id = "__codelineno-19-40" name = "__codelineno-19-40" href = "#__codelineno-19-40" > < / a > < span class = "kd" > func< / span > < span class = "nf" > levelOrder< / span > < span class = "p" > ()< / span > < span class = "p" > -> < / span > < span class = "p" > [< / span > < span class = "nb" > Int< / span > < span class = "p" > ]< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-41" name = "__codelineno-19-41" href = "#__codelineno-19-41" > < / a > < span class = "kd" > var< / span > < span class = "nv" > res< / span > < span class = "p" > :< / span > < span class = "p" > [< / span > < span class = "nb" > Int< / span > < span class = "p" > ]< / span > < span class = "p" > =< / span > < span class = "p" > []< / span >
< a id = "__codelineno-19-42" name = "__codelineno-19-42" href = "#__codelineno-19-42" > < / a > < span class = "c1" > // 直接遍历数组< / span >
< a id = "__codelineno-19-43" name = "__codelineno-19-43" href = "#__codelineno-19-43" > < / a > < span class = "k" > for< / span > < span class = "n" > i< / span > < span class = "k" > in< / span > < span class = "mi" > 0< / span > < span class = "p" > ..< / span > < span class = "o" > < < / span > < span class = "n" > size< / span > < span class = "p" > ()< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-44" name = "__codelineno-19-44" href = "#__codelineno-19-44" > < / a > < span class = "k" > if< / span > < span class = "kd" > let< / span > < span class = "nv" > val< / span > < span class = "p" > =< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-45" name = "__codelineno-19-45" href = "#__codelineno-19-45" > < / a > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > append< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > )< / span >
< a id = "__codelineno-19-46" name = "__codelineno-19-46" href = "#__codelineno-19-46" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-47" name = "__codelineno-19-47" href = "#__codelineno-19-47" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-48" name = "__codelineno-19-48" href = "#__codelineno-19-48" > < / a > < span class = "k" > return< / span > < span class = "n" > res< / span >
< a id = "__codelineno-19-49" name = "__codelineno-19-49" href = "#__codelineno-19-49" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-50" name = "__codelineno-19-50" href = "#__codelineno-19-50" > < / a >
< a id = "__codelineno-19-51" name = "__codelineno-19-51" href = "#__codelineno-19-51" > < / a > < span class = "cm" > /* 深度优先遍历 */< / span >
< a id = "__codelineno-19-52" name = "__codelineno-19-52" href = "#__codelineno-19-52" > < / a > < span class = "kd" > private< / span > < span class = "kd" > func< / span > < span class = "nf" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "nb" > Int< / span > < span class = "p" > ,< / span > < span class = "n" > order< / span > < span class = "p" > :< / span > < span class = "nb" > String< / span > < span class = "p" > ,< / span > < span class = "n" > res< / span > < span class = "p" > :< / span > < span class = "kr" > inout< / span > < span class = "p" > [< / span > < span class = "nb" > Int< / span > < span class = "p" > ])< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-53" name = "__codelineno-19-53" href = "#__codelineno-19-53" > < / a > < span class = "c1" > // 若为空位，则返回< / span >
< a id = "__codelineno-19-54" name = "__codelineno-19-54" href = "#__codelineno-19-54" > < / a > < span class = "k" > guard< / span > < span class = "kd" > let< / span > < span class = "nv" > val< / span > < span class = "p" > =< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-55" name = "__codelineno-19-55" href = "#__codelineno-19-55" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-19-56" name = "__codelineno-19-56" href = "#__codelineno-19-56" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-57" name = "__codelineno-19-57" href = "#__codelineno-19-57" > < / a > < span class = "c1" > // 前序遍历< / span >
< a id = "__codelineno-19-58" name = "__codelineno-19-58" href = "#__codelineno-19-58" > < / a > < span class = "k" > if< / span > < span class = "n" > order< / span > < span class = "p" > ==< / span > < span class = "s" > " pre" < / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-59" name = "__codelineno-19-59" href = "#__codelineno-19-59" > < / a > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > append< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > )< / span >
< a id = "__codelineno-19-60" name = "__codelineno-19-60" href = "#__codelineno-19-60" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-61" name = "__codelineno-19-61" href = "#__codelineno-19-61" > < / a > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "kr" > left< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "n" > order< / span > < span class = "p" > :< / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "n" > res< / span > < span class = "p" > :< / span > < span class = "p" > & < / span > < span class = "n" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-19-62" name = "__codelineno-19-62" href = "#__codelineno-19-62" > < / a > < span class = "c1" > // 中序遍历< / span >
< a id = "__codelineno-19-63" name = "__codelineno-19-63" href = "#__codelineno-19-63" > < / a > < span class = "k" > if< / span > < span class = "n" > order< / span > < span class = "p" > ==< / span > < span class = "s" > " in" < / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-64" name = "__codelineno-19-64" href = "#__codelineno-19-64" > < / a > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > append< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > )< / span >
< a id = "__codelineno-19-65" name = "__codelineno-19-65" href = "#__codelineno-19-65" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-66" name = "__codelineno-19-66" href = "#__codelineno-19-66" > < / a > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "kr" > right< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "n" > order< / span > < span class = "p" > :< / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "n" > res< / span > < span class = "p" > :< / span > < span class = "p" > & < / span > < span class = "n" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-19-67" name = "__codelineno-19-67" href = "#__codelineno-19-67" > < / a > < span class = "c1" > // 后序遍历< / span >
< a id = "__codelineno-19-68" name = "__codelineno-19-68" href = "#__codelineno-19-68" > < / a > < span class = "k" > if< / span > < span class = "n" > order< / span > < span class = "p" > ==< / span > < span class = "s" > " post" < / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-69" name = "__codelineno-19-69" href = "#__codelineno-19-69" > < / a > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > append< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > )< / span >
< a id = "__codelineno-19-70" name = "__codelineno-19-70" href = "#__codelineno-19-70" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-71" name = "__codelineno-19-71" href = "#__codelineno-19-71" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-72" name = "__codelineno-19-72" href = "#__codelineno-19-72" > < / a >
< a id = "__codelineno-19-73" name = "__codelineno-19-73" href = "#__codelineno-19-73" > < / a > < span class = "cm" > /* 前序遍历 */< / span >
< a id = "__codelineno-19-74" name = "__codelineno-19-74" href = "#__codelineno-19-74" > < / a > < span class = "kd" > func< / span > < span class = "nf" > preOrder< / span > < span class = "p" > ()< / span > < span class = "p" > -> < / span > < span class = "p" > [< / span > < span class = "nb" > Int< / span > < span class = "p" > ]< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-75" name = "__codelineno-19-75" href = "#__codelineno-19-75" > < / a > < span class = "kd" > var< / span > < span class = "nv" > res< / span > < span class = "p" > :< / span > < span class = "p" > [< / span > < span class = "nb" > Int< / span > < span class = "p" > ]< / span > < span class = "p" > =< / span > < span class = "p" > []< / span >
< a id = "__codelineno-19-76" name = "__codelineno-19-76" href = "#__codelineno-19-76" > < / a > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "n" > order< / span > < span class = "p" > :< / span > < span class = "s" > " pre" < / span > < span class = "p" > ,< / span > < span class = "n" > res< / span > < span class = "p" > :< / span > < span class = "p" > & < / span > < span class = "n" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-19-77" name = "__codelineno-19-77" href = "#__codelineno-19-77" > < / a > < span class = "k" > return< / span > < span class = "n" > res< / span >
< a id = "__codelineno-19-78" name = "__codelineno-19-78" href = "#__codelineno-19-78" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-79" name = "__codelineno-19-79" href = "#__codelineno-19-79" > < / a >
< a id = "__codelineno-19-80" name = "__codelineno-19-80" href = "#__codelineno-19-80" > < / a > < span class = "cm" > /* 中序遍历 */< / span >
< a id = "__codelineno-19-81" name = "__codelineno-19-81" href = "#__codelineno-19-81" > < / a > < span class = "kd" > func< / span > < span class = "nf" > inOrder< / span > < span class = "p" > ()< / span > < span class = "p" > -> < / span > < span class = "p" > [< / span > < span class = "nb" > Int< / span > < span class = "p" > ]< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-82" name = "__codelineno-19-82" href = "#__codelineno-19-82" > < / a > < span class = "kd" > var< / span > < span class = "nv" > res< / span > < span class = "p" > :< / span > < span class = "p" > [< / span > < span class = "nb" > Int< / span > < span class = "p" > ]< / span > < span class = "p" > =< / span > < span class = "p" > []< / span >
< a id = "__codelineno-19-83" name = "__codelineno-19-83" href = "#__codelineno-19-83" > < / a > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "n" > order< / span > < span class = "p" > :< / span > < span class = "s" > " in" < / span > < span class = "p" > ,< / span > < span class = "n" > res< / span > < span class = "p" > :< / span > < span class = "p" > & < / span > < span class = "n" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-19-84" name = "__codelineno-19-84" href = "#__codelineno-19-84" > < / a > < span class = "k" > return< / span > < span class = "n" > res< / span >
< a id = "__codelineno-19-85" name = "__codelineno-19-85" href = "#__codelineno-19-85" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-86" name = "__codelineno-19-86" href = "#__codelineno-19-86" > < / a >
< a id = "__codelineno-19-87" name = "__codelineno-19-87" href = "#__codelineno-19-87" > < / a > < span class = "cm" > /* 后序遍历 */< / span >
< a id = "__codelineno-19-88" name = "__codelineno-19-88" href = "#__codelineno-19-88" > < / a > < span class = "kd" > func< / span > < span class = "nf" > postOrder< / span > < span class = "p" > ()< / span > < span class = "p" > -> < / span > < span class = "p" > [< / span > < span class = "nb" > Int< / span > < span class = "p" > ]< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-89" name = "__codelineno-19-89" href = "#__codelineno-19-89" > < / a > < span class = "kd" > var< / span > < span class = "nv" > res< / span > < span class = "p" > :< / span > < span class = "p" > [< / span > < span class = "nb" > Int< / span > < span class = "p" > ]< / span > < span class = "p" > =< / span > < span class = "p" > []< / span >
< a id = "__codelineno-19-90" name = "__codelineno-19-90" href = "#__codelineno-19-90" > < / a > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "n" > order< / span > < span class = "p" > :< / span > < span class = "s" > " post" < / span > < span class = "p" > ,< / span > < span class = "n" > res< / span > < span class = "p" > :< / span > < span class = "p" > & < / span > < span class = "n" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-19-91" name = "__codelineno-19-91" href = "#__codelineno-19-91" > < / a > < span class = "k" > return< / span > < span class = "n" > res< / span >
< a id = "__codelineno-19-92" name = "__codelineno-19-92" href = "#__codelineno-19-92" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-93" name = "__codelineno-19-93" href = "#__codelineno-19-93" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > array_binary_tree.js< / span > < pre > < span > < / span > < code > < a id = "__codelineno-20-1" name = "__codelineno-20-1" href = "#__codelineno-20-1" > < / a > < span class = "cm" > /* 数组表示下的二叉树类 */< / span >
< a id = "__codelineno-20-2" name = "__codelineno-20-2" href = "#__codelineno-20-2" > < / a > < span class = "kd" > class< / span > < span class = "w" > < / span > < span class = "nx" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-3" name = "__codelineno-20-3" href = "#__codelineno-20-3" > < / a > < span class = "w" > < / span > < span class = "err" > #< / span > < span class = "nx" > tree< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-4" name = "__codelineno-20-4" href = "#__codelineno-20-4" > < / a >
< a id = "__codelineno-20-5" name = "__codelineno-20-5" href = "#__codelineno-20-5" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 构造方法 */< / span >
< a id = "__codelineno-20-6" name = "__codelineno-20-6" href = "#__codelineno-20-6" > < / a > < span class = "w" > < / span > < span class = "kr" > constructor< / span > < span class = "p" > (< / span > < span class = "nx" > arr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-7" name = "__codelineno-20-7" href = "#__codelineno-20-7" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > tree< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > arr< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-8" name = "__codelineno-20-8" href = "#__codelineno-20-8" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-9" name = "__codelineno-20-9" href = "#__codelineno-20-9" > < / a >
< a id = "__codelineno-20-10" name = "__codelineno-20-10" href = "#__codelineno-20-10" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 列表容量 */< / span >
< a id = "__codelineno-20-11" name = "__codelineno-20-11" href = "#__codelineno-20-11" > < / a > < span class = "w" > < / span > < span class = "nx" > size< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-12" name = "__codelineno-20-12" href = "#__codelineno-20-12" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > tree< / span > < span class = "p" > .< / span > < span class = "nx" > length< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-13" name = "__codelineno-20-13" href = "#__codelineno-20-13" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-14" name = "__codelineno-20-14" href = "#__codelineno-20-14" > < / a >
< a id = "__codelineno-20-15" name = "__codelineno-20-15" href = "#__codelineno-20-15" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的值 */< / span >
< a id = "__codelineno-20-16" name = "__codelineno-20-16" href = "#__codelineno-20-16" > < / a > < span class = "w" > < / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-17" name = "__codelineno-20-17" href = "#__codelineno-20-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若索引越界，则返回 null ，代表空位< / span >
< a id = "__codelineno-20-18" name = "__codelineno-20-18" href = "#__codelineno-20-18" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "mf" > 0< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > size< / span > < span class = "p" > ())< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-19" name = "__codelineno-20-19" href = "#__codelineno-20-19" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > tree< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-20-20" name = "__codelineno-20-20" href = "#__codelineno-20-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-21" name = "__codelineno-20-21" href = "#__codelineno-20-21" > < / a >
< a id = "__codelineno-20-22" name = "__codelineno-20-22" href = "#__codelineno-20-22" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的左子节点的索引 */< / span >
< a id = "__codelineno-20-23" name = "__codelineno-20-23" href = "#__codelineno-20-23" > < / a > < span class = "w" > < / span > < span class = "nx" > left< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-24" name = "__codelineno-20-24" href = "#__codelineno-20-24" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "mf" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "mf" > 1< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-25" name = "__codelineno-20-25" href = "#__codelineno-20-25" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-26" name = "__codelineno-20-26" href = "#__codelineno-20-26" > < / a >
< a id = "__codelineno-20-27" name = "__codelineno-20-27" href = "#__codelineno-20-27" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的右子节点的索引 */< / span >
< a id = "__codelineno-20-28" name = "__codelineno-20-28" href = "#__codelineno-20-28" > < / a > < span class = "w" > < / span > < span class = "nx" > right< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-29" name = "__codelineno-20-29" href = "#__codelineno-20-29" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "mf" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "mf" > 2< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-30" name = "__codelineno-20-30" href = "#__codelineno-20-30" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-31" name = "__codelineno-20-31" href = "#__codelineno-20-31" > < / a >
< a id = "__codelineno-20-32" name = "__codelineno-20-32" href = "#__codelineno-20-32" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的父节点的索引 */< / span >
< a id = "__codelineno-20-33" name = "__codelineno-20-33" href = "#__codelineno-20-33" > < / a > < span class = "w" > < / span > < span class = "nx" > parent< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-34" name = "__codelineno-20-34" href = "#__codelineno-20-34" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nb" > Math< / span > < span class = "p" > .< / span > < span class = "nx" > floor< / span > < span class = "p" > ((< / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mf" > 1< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "mf" > 2< / span > < span class = "p" > );< / span > < span class = "w" > < / span > < span class = "c1" > // 向下整除< / span >
< a id = "__codelineno-20-35" name = "__codelineno-20-35" href = "#__codelineno-20-35" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-36" name = "__codelineno-20-36" href = "#__codelineno-20-36" > < / a >
< a id = "__codelineno-20-37" name = "__codelineno-20-37" href = "#__codelineno-20-37" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 层序遍历 */< / span >
< a id = "__codelineno-20-38" name = "__codelineno-20-38" href = "#__codelineno-20-38" > < / a > < span class = "w" > < / span > < span class = "nx" > levelOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-39" name = "__codelineno-20-39" href = "#__codelineno-20-39" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-20-40" name = "__codelineno-20-40" href = "#__codelineno-20-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 直接遍历数组< / span >
< a id = "__codelineno-20-41" name = "__codelineno-20-41" href = "#__codelineno-20-41" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mf" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > size< / span > < span class = "p" > ();< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-42" name = "__codelineno-20-42" href = "#__codelineno-20-42" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > .< / span > < span class = "nx" > push< / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-20-43" name = "__codelineno-20-43" href = "#__codelineno-20-43" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-44" name = "__codelineno-20-44" href = "#__codelineno-20-44" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-45" name = "__codelineno-20-45" href = "#__codelineno-20-45" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-46" name = "__codelineno-20-46" href = "#__codelineno-20-46" > < / a >
< a id = "__codelineno-20-47" name = "__codelineno-20-47" href = "#__codelineno-20-47" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 深度优先遍历 */< / span >
< a id = "__codelineno-20-48" name = "__codelineno-20-48" href = "#__codelineno-20-48" > < / a > < span class = "w" > < / span > < span class = "err" > #< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-49" name = "__codelineno-20-49" href = "#__codelineno-20-49" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若为空位，则返回< / span >
< a id = "__codelineno-20-50" name = "__codelineno-20-50" href = "#__codelineno-20-50" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-51" name = "__codelineno-20-51" href = "#__codelineno-20-51" > < / a > < span class = "w" > < / span > < span class = "c1" > // 前序遍历< / span >
< a id = "__codelineno-20-52" name = "__codelineno-20-52" href = "#__codelineno-20-52" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > order< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "s1" > ' pre' < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > .< / span > < span class = "nx" > push< / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-20-53" name = "__codelineno-20-53" href = "#__codelineno-20-53" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nx" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-20-54" name = "__codelineno-20-54" href = "#__codelineno-20-54" > < / a > < span class = "w" > < / span > < span class = "c1" > // 中序遍历< / span >
< a id = "__codelineno-20-55" name = "__codelineno-20-55" href = "#__codelineno-20-55" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > order< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "s1" > ' in' < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > .< / span > < span class = "nx" > push< / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-20-56" name = "__codelineno-20-56" href = "#__codelineno-20-56" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nx" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-20-57" name = "__codelineno-20-57" href = "#__codelineno-20-57" > < / a > < span class = "w" > < / span > < span class = "c1" > // 后序遍历< / span >
< a id = "__codelineno-20-58" name = "__codelineno-20-58" href = "#__codelineno-20-58" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > order< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "s1" > ' post' < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > .< / span > < span class = "nx" > push< / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-20-59" name = "__codelineno-20-59" href = "#__codelineno-20-59" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-60" name = "__codelineno-20-60" href = "#__codelineno-20-60" > < / a >
< a id = "__codelineno-20-61" name = "__codelineno-20-61" href = "#__codelineno-20-61" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 前序遍历 */< / span >
< a id = "__codelineno-20-62" name = "__codelineno-20-62" href = "#__codelineno-20-62" > < / a > < span class = "w" > < / span > < span class = "nx" > preOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-63" name = "__codelineno-20-63" href = "#__codelineno-20-63" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-20-64" name = "__codelineno-20-64" href = "#__codelineno-20-64" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "mf" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s1" > ' pre' < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-20-65" name = "__codelineno-20-65" href = "#__codelineno-20-65" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-66" name = "__codelineno-20-66" href = "#__codelineno-20-66" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-67" name = "__codelineno-20-67" href = "#__codelineno-20-67" > < / a >
< a id = "__codelineno-20-68" name = "__codelineno-20-68" href = "#__codelineno-20-68" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 中序遍历 */< / span >
< a id = "__codelineno-20-69" name = "__codelineno-20-69" href = "#__codelineno-20-69" > < / a > < span class = "w" > < / span > < span class = "nx" > inOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-70" name = "__codelineno-20-70" href = "#__codelineno-20-70" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-20-71" name = "__codelineno-20-71" href = "#__codelineno-20-71" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "mf" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s1" > ' in' < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-20-72" name = "__codelineno-20-72" href = "#__codelineno-20-72" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-73" name = "__codelineno-20-73" href = "#__codelineno-20-73" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-74" name = "__codelineno-20-74" href = "#__codelineno-20-74" > < / a >
< a id = "__codelineno-20-75" name = "__codelineno-20-75" href = "#__codelineno-20-75" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 后序遍历 */< / span >
< a id = "__codelineno-20-76" name = "__codelineno-20-76" href = "#__codelineno-20-76" > < / a > < span class = "w" > < / span > < span class = "nx" > postOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-77" name = "__codelineno-20-77" href = "#__codelineno-20-77" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-20-78" name = "__codelineno-20-78" href = "#__codelineno-20-78" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "mf" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s1" > ' post' < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-20-79" name = "__codelineno-20-79" href = "#__codelineno-20-79" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-80" name = "__codelineno-20-80" href = "#__codelineno-20-80" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-81" name = "__codelineno-20-81" href = "#__codelineno-20-81" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > array_binary_tree.ts< / span > < pre > < span > < / span > < code > < a id = "__codelineno-21-1" name = "__codelineno-21-1" href = "#__codelineno-21-1" > < / a > < span class = "cm" > /* 数组表示下的二叉树类 */< / span >
< a id = "__codelineno-21-2" name = "__codelineno-21-2" href = "#__codelineno-21-2" > < / a > < span class = "kd" > class< / span > < span class = "w" > < / span > < span class = "nx" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-3" name = "__codelineno-21-3" href = "#__codelineno-21-3" > < / a > < span class = "w" > < / span > < span class = "err" > #< / span > < span class = "nx" > tree< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > number< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )[];< / span >
< a id = "__codelineno-21-4" name = "__codelineno-21-4" href = "#__codelineno-21-4" > < / a >
< a id = "__codelineno-21-5" name = "__codelineno-21-5" href = "#__codelineno-21-5" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 构造方法 */< / span >
< a id = "__codelineno-21-6" name = "__codelineno-21-6" href = "#__codelineno-21-6" > < / a > < span class = "w" > < / span > < span class = "kr" > constructor< / span > < span class = "p" > (< / span > < span class = "nx" > arr< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > number< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )[])< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-7" name = "__codelineno-21-7" href = "#__codelineno-21-7" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > tree< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > arr< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-21-8" name = "__codelineno-21-8" href = "#__codelineno-21-8" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-9" name = "__codelineno-21-9" href = "#__codelineno-21-9" > < / a >
< a id = "__codelineno-21-10" name = "__codelineno-21-10" href = "#__codelineno-21-10" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 列表容量 */< / span >
< a id = "__codelineno-21-11" name = "__codelineno-21-11" href = "#__codelineno-21-11" > < / a > < span class = "w" > < / span > < span class = "nx" > size< / span > < span class = "p" > ()< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-12" name = "__codelineno-21-12" href = "#__codelineno-21-12" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > tree< / span > < span class = "p" > .< / span > < span class = "nx" > length< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-21-13" name = "__codelineno-21-13" href = "#__codelineno-21-13" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-14" name = "__codelineno-21-14" href = "#__codelineno-21-14" > < / a >
< a id = "__codelineno-21-15" name = "__codelineno-21-15" href = "#__codelineno-21-15" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的值 */< / span >
< a id = "__codelineno-21-16" name = "__codelineno-21-16" href = "#__codelineno-21-16" > < / a > < span class = "w" > < / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "p" > )< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-17" name = "__codelineno-21-17" href = "#__codelineno-21-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若索引越界，则返回 null ，代表空位< / span >
< a id = "__codelineno-21-18" name = "__codelineno-21-18" href = "#__codelineno-21-18" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "mf" > 0< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > size< / span > < span class = "p" > ())< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-21-19" name = "__codelineno-21-19" href = "#__codelineno-21-19" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > tree< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-21-20" name = "__codelineno-21-20" href = "#__codelineno-21-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-21" name = "__codelineno-21-21" href = "#__codelineno-21-21" > < / a >
< a id = "__codelineno-21-22" name = "__codelineno-21-22" href = "#__codelineno-21-22" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的左子节点的索引 */< / span >
< a id = "__codelineno-21-23" name = "__codelineno-21-23" href = "#__codelineno-21-23" > < / a > < span class = "w" > < / span > < span class = "nx" > left< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "p" > )< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-24" name = "__codelineno-21-24" href = "#__codelineno-21-24" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "mf" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "mf" > 1< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-21-25" name = "__codelineno-21-25" href = "#__codelineno-21-25" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-26" name = "__codelineno-21-26" href = "#__codelineno-21-26" > < / a >
< a id = "__codelineno-21-27" name = "__codelineno-21-27" href = "#__codelineno-21-27" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的右子节点的索引 */< / span >
< a id = "__codelineno-21-28" name = "__codelineno-21-28" href = "#__codelineno-21-28" > < / a > < span class = "w" > < / span > < span class = "nx" > right< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "p" > )< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-29" name = "__codelineno-21-29" href = "#__codelineno-21-29" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "mf" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "mf" > 2< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-21-30" name = "__codelineno-21-30" href = "#__codelineno-21-30" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-31" name = "__codelineno-21-31" href = "#__codelineno-21-31" > < / a >
< a id = "__codelineno-21-32" name = "__codelineno-21-32" href = "#__codelineno-21-32" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的父节点的索引 */< / span >
< a id = "__codelineno-21-33" name = "__codelineno-21-33" href = "#__codelineno-21-33" > < / a > < span class = "w" > < / span > < span class = "nx" > parent< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "p" > )< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-34" name = "__codelineno-21-34" href = "#__codelineno-21-34" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nb" > Math< / span > < span class = "p" > .< / span > < span class = "nx" > floor< / span > < span class = "p" > ((< / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mf" > 1< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "mf" > 2< / span > < span class = "p" > );< / span > < span class = "w" > < / span > < span class = "c1" > // 向下整除< / span >
< a id = "__codelineno-21-35" name = "__codelineno-21-35" href = "#__codelineno-21-35" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-36" name = "__codelineno-21-36" href = "#__codelineno-21-36" > < / a >
< a id = "__codelineno-21-37" name = "__codelineno-21-37" href = "#__codelineno-21-37" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 层序遍历 */< / span >
< a id = "__codelineno-21-38" name = "__codelineno-21-38" href = "#__codelineno-21-38" > < / a > < span class = "w" > < / span > < span class = "nx" > levelOrder< / span > < span class = "p" > ()< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "p" > []< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-39" name = "__codelineno-21-39" href = "#__codelineno-21-39" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-21-40" name = "__codelineno-21-40" href = "#__codelineno-21-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 直接遍历数组< / span >
< a id = "__codelineno-21-41" name = "__codelineno-21-41" href = "#__codelineno-21-41" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mf" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > size< / span > < span class = "p" > ();< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-42" name = "__codelineno-21-42" href = "#__codelineno-21-42" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > .< / span > < span class = "nx" > push< / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-21-43" name = "__codelineno-21-43" href = "#__codelineno-21-43" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-44" name = "__codelineno-21-44" href = "#__codelineno-21-44" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-21-45" name = "__codelineno-21-45" href = "#__codelineno-21-45" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-46" name = "__codelineno-21-46" href = "#__codelineno-21-46" > < / a >
< a id = "__codelineno-21-47" name = "__codelineno-21-47" href = "#__codelineno-21-47" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 深度优先遍历 */< / span >
< a id = "__codelineno-21-48" name = "__codelineno-21-48" href = "#__codelineno-21-48" > < / a > < span class = "w" > < / span > < span class = "err" > #< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > order< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > Order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > number< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )[])< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "ow" > void< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-49" name = "__codelineno-21-49" href = "#__codelineno-21-49" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若为空位，则返回< / span >
< a id = "__codelineno-21-50" name = "__codelineno-21-50" href = "#__codelineno-21-50" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-21-51" name = "__codelineno-21-51" href = "#__codelineno-21-51" > < / a > < span class = "w" > < / span > < span class = "c1" > // 前序遍历< / span >
< a id = "__codelineno-21-52" name = "__codelineno-21-52" href = "#__codelineno-21-52" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > order< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "s1" > ' pre' < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > .< / span > < span class = "nx" > push< / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-21-53" name = "__codelineno-21-53" href = "#__codelineno-21-53" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nx" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-21-54" name = "__codelineno-21-54" href = "#__codelineno-21-54" > < / a > < span class = "w" > < / span > < span class = "c1" > // 中序遍历< / span >
< a id = "__codelineno-21-55" name = "__codelineno-21-55" href = "#__codelineno-21-55" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > order< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "s1" > ' in' < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > .< / span > < span class = "nx" > push< / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-21-56" name = "__codelineno-21-56" href = "#__codelineno-21-56" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nx" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-21-57" name = "__codelineno-21-57" href = "#__codelineno-21-57" > < / a > < span class = "w" > < / span > < span class = "c1" > // 后序遍历< / span >
< a id = "__codelineno-21-58" name = "__codelineno-21-58" href = "#__codelineno-21-58" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > order< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "s1" > ' post' < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > .< / span > < span class = "nx" > push< / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > (< / span > < span class = "nx" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-21-59" name = "__codelineno-21-59" href = "#__codelineno-21-59" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-60" name = "__codelineno-21-60" href = "#__codelineno-21-60" > < / a >
< a id = "__codelineno-21-61" name = "__codelineno-21-61" href = "#__codelineno-21-61" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 前序遍历 */< / span >
< a id = "__codelineno-21-62" name = "__codelineno-21-62" href = "#__codelineno-21-62" > < / a > < span class = "w" > < / span > < span class = "nx" > preOrder< / span > < span class = "p" > ()< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > number< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )[]< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-63" name = "__codelineno-21-63" href = "#__codelineno-21-63" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-21-64" name = "__codelineno-21-64" href = "#__codelineno-21-64" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "mf" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s1" > ' pre' < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-21-65" name = "__codelineno-21-65" href = "#__codelineno-21-65" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-21-66" name = "__codelineno-21-66" href = "#__codelineno-21-66" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-67" name = "__codelineno-21-67" href = "#__codelineno-21-67" > < / a >
< a id = "__codelineno-21-68" name = "__codelineno-21-68" href = "#__codelineno-21-68" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 中序遍历 */< / span >
< a id = "__codelineno-21-69" name = "__codelineno-21-69" href = "#__codelineno-21-69" > < / a > < span class = "w" > < / span > < span class = "nx" > inOrder< / span > < span class = "p" > ()< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > number< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )[]< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-70" name = "__codelineno-21-70" href = "#__codelineno-21-70" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-21-71" name = "__codelineno-21-71" href = "#__codelineno-21-71" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "mf" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s1" > ' in' < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-21-72" name = "__codelineno-21-72" href = "#__codelineno-21-72" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-21-73" name = "__codelineno-21-73" href = "#__codelineno-21-73" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-74" name = "__codelineno-21-74" href = "#__codelineno-21-74" > < / a >
< a id = "__codelineno-21-75" name = "__codelineno-21-75" href = "#__codelineno-21-75" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 后序遍历 */< / span >
< a id = "__codelineno-21-76" name = "__codelineno-21-76" href = "#__codelineno-21-76" > < / a > < span class = "w" > < / span > < span class = "nx" > postOrder< / span > < span class = "p" > ()< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > number< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )[]< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-77" name = "__codelineno-21-77" href = "#__codelineno-21-77" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-21-78" name = "__codelineno-21-78" href = "#__codelineno-21-78" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "err" > #< / span > < span class = "nx" > dfs< / span > < span class = "p" > (< / span > < span class = "mf" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s1" > ' post' < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-21-79" name = "__codelineno-21-79" href = "#__codelineno-21-79" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-21-80" name = "__codelineno-21-80" href = "#__codelineno-21-80" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-81" name = "__codelineno-21-81" href = "#__codelineno-21-81" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > array_binary_tree.dart< / span > < pre > < span > < / span > < code > < a id = "__codelineno-22-1" name = "__codelineno-22-1" href = "#__codelineno-22-1" > < / a > < span class = "cm" > /* 数组表示下的二叉树类 */< / span >
< a id = "__codelineno-22-2" name = "__codelineno-22-2" href = "#__codelineno-22-2" > < / a > < span class = "kd" > class< / span > < span class = "w" > < / span > < span class = "nc" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-3" name = "__codelineno-22-3" href = "#__codelineno-22-3" > < / a > < span class = "w" > < / span > < span class = "kd" > late< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > ?> < / span > < span class = "w" > < / span > < span class = "n" > _tree< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-4" name = "__codelineno-22-4" href = "#__codelineno-22-4" > < / a >
< a id = "__codelineno-22-5" name = "__codelineno-22-5" href = "#__codelineno-22-5" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 构造方法 */< / span >
< a id = "__codelineno-22-6" name = "__codelineno-22-6" href = "#__codelineno-22-6" > < / a > < span class = "w" > < / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "n" > _tree< / span > < span class = "p" > );< / span >
< a id = "__codelineno-22-7" name = "__codelineno-22-7" href = "#__codelineno-22-7" > < / a >
< a id = "__codelineno-22-8" name = "__codelineno-22-8" href = "#__codelineno-22-8" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 列表容量 */< / span >
< a id = "__codelineno-22-9" name = "__codelineno-22-9" href = "#__codelineno-22-9" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-10" name = "__codelineno-22-10" href = "#__codelineno-22-10" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > _tree< / span > < span class = "p" > .< / span > < span class = "n" > length< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-11" name = "__codelineno-22-11" href = "#__codelineno-22-11" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-12" name = "__codelineno-22-12" href = "#__codelineno-22-12" > < / a >
< a id = "__codelineno-22-13" name = "__codelineno-22-13" href = "#__codelineno-22-13" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的值 */< / span >
< a id = "__codelineno-22-14" name = "__codelineno-22-14" href = "#__codelineno-22-14" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-15" name = "__codelineno-22-15" href = "#__codelineno-22-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若索引越界，则返回 null ，代表空位< / span >
< a id = "__codelineno-22-16" name = "__codelineno-22-16" href = "#__codelineno-22-16" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "m" > 0< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > ())< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-17" name = "__codelineno-22-17" href = "#__codelineno-22-17" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-18" name = "__codelineno-22-18" href = "#__codelineno-22-18" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-19" name = "__codelineno-22-19" href = "#__codelineno-22-19" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > _tree< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-22-20" name = "__codelineno-22-20" href = "#__codelineno-22-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-21" name = "__codelineno-22-21" href = "#__codelineno-22-21" > < / a >
< a id = "__codelineno-22-22" name = "__codelineno-22-22" href = "#__codelineno-22-22" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的左子节点的索引 */< / span >
< a id = "__codelineno-22-23" name = "__codelineno-22-23" href = "#__codelineno-22-23" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > left< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-24" name = "__codelineno-22-24" href = "#__codelineno-22-24" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "m" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-25" name = "__codelineno-22-25" href = "#__codelineno-22-25" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-26" name = "__codelineno-22-26" href = "#__codelineno-22-26" > < / a >
< a id = "__codelineno-22-27" name = "__codelineno-22-27" href = "#__codelineno-22-27" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的右子节点的索引 */< / span >
< a id = "__codelineno-22-28" name = "__codelineno-22-28" href = "#__codelineno-22-28" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > right< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-29" name = "__codelineno-22-29" href = "#__codelineno-22-29" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "m" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "m" > 2< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-30" name = "__codelineno-22-30" href = "#__codelineno-22-30" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-31" name = "__codelineno-22-31" href = "#__codelineno-22-31" > < / a >
< a id = "__codelineno-22-32" name = "__codelineno-22-32" href = "#__codelineno-22-32" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的父节点的索引 */< / span >
< a id = "__codelineno-22-33" name = "__codelineno-22-33" href = "#__codelineno-22-33" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > parent< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-34" name = "__codelineno-22-34" href = "#__codelineno-22-34" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > ~/< / span > < span class = "w" > < / span > < span class = "m" > 2< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-35" name = "__codelineno-22-35" href = "#__codelineno-22-35" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-36" name = "__codelineno-22-36" href = "#__codelineno-22-36" > < / a >
< a id = "__codelineno-22-37" name = "__codelineno-22-37" href = "#__codelineno-22-37" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 层序遍历 */< / span >
< a id = "__codelineno-22-38" name = "__codelineno-22-38" href = "#__codelineno-22-38" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > levelOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-39" name = "__codelineno-22-39" href = "#__codelineno-22-39" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-22-40" name = "__codelineno-22-40" href = "#__codelineno-22-40" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "m" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > ();< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-41" name = "__codelineno-22-41" href = "#__codelineno-22-41" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-42" name = "__codelineno-22-42" href = "#__codelineno-22-42" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > add< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "o" > !< / span > < span class = "p" > );< / span >
< a id = "__codelineno-22-43" name = "__codelineno-22-43" href = "#__codelineno-22-43" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-44" name = "__codelineno-22-44" href = "#__codelineno-22-44" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-45" name = "__codelineno-22-45" href = "#__codelineno-22-45" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-46" name = "__codelineno-22-46" href = "#__codelineno-22-46" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-47" name = "__codelineno-22-47" href = "#__codelineno-22-47" > < / a >
< a id = "__codelineno-22-48" name = "__codelineno-22-48" href = "#__codelineno-22-48" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 深度优先遍历 */< / span >
< a id = "__codelineno-22-49" name = "__codelineno-22-49" href = "#__codelineno-22-49" > < / a > < span class = "w" > < / span > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > String< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > ?> < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-50" name = "__codelineno-22-50" href = "#__codelineno-22-50" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若为空位，则返回< / span >
< a id = "__codelineno-22-51" name = "__codelineno-22-51" href = "#__codelineno-22-51" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-52" name = "__codelineno-22-52" href = "#__codelineno-22-52" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-53" name = "__codelineno-22-53" href = "#__codelineno-22-53" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-54" name = "__codelineno-22-54" href = "#__codelineno-22-54" > < / a > < span class = "w" > < / span > < span class = "c1" > // 前序遍历< / span >
< a id = "__codelineno-22-55" name = "__codelineno-22-55" href = "#__codelineno-22-55" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s1" > ' pre' < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-56" name = "__codelineno-22-56" href = "#__codelineno-22-56" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > add< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-22-57" name = "__codelineno-22-57" href = "#__codelineno-22-57" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-58" name = "__codelineno-22-58" href = "#__codelineno-22-58" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > left< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "o" > !< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-22-59" name = "__codelineno-22-59" href = "#__codelineno-22-59" > < / a > < span class = "w" > < / span > < span class = "c1" > // 中序遍历< / span >
< a id = "__codelineno-22-60" name = "__codelineno-22-60" href = "#__codelineno-22-60" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s1" > ' in' < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-61" name = "__codelineno-22-61" href = "#__codelineno-22-61" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > add< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-22-62" name = "__codelineno-22-62" href = "#__codelineno-22-62" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-63" name = "__codelineno-22-63" href = "#__codelineno-22-63" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > right< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "o" > !< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-22-64" name = "__codelineno-22-64" href = "#__codelineno-22-64" > < / a > < span class = "w" > < / span > < span class = "c1" > // 后序遍历< / span >
< a id = "__codelineno-22-65" name = "__codelineno-22-65" href = "#__codelineno-22-65" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s1" > ' post' < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-66" name = "__codelineno-22-66" href = "#__codelineno-22-66" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > add< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-22-67" name = "__codelineno-22-67" href = "#__codelineno-22-67" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-68" name = "__codelineno-22-68" href = "#__codelineno-22-68" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-69" name = "__codelineno-22-69" href = "#__codelineno-22-69" > < / a >
< a id = "__codelineno-22-70" name = "__codelineno-22-70" href = "#__codelineno-22-70" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 前序遍历 */< / span >
< a id = "__codelineno-22-71" name = "__codelineno-22-71" href = "#__codelineno-22-71" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > ?> < / span > < span class = "w" > < / span > < span class = "n" > preOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-72" name = "__codelineno-22-72" href = "#__codelineno-22-72" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > ?> < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-22-73" name = "__codelineno-22-73" href = "#__codelineno-22-73" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "m" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s1" > ' pre' < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-22-74" name = "__codelineno-22-74" href = "#__codelineno-22-74" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-75" name = "__codelineno-22-75" href = "#__codelineno-22-75" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-76" name = "__codelineno-22-76" href = "#__codelineno-22-76" > < / a >
< a id = "__codelineno-22-77" name = "__codelineno-22-77" href = "#__codelineno-22-77" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 中序遍历 */< / span >
< a id = "__codelineno-22-78" name = "__codelineno-22-78" href = "#__codelineno-22-78" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > ?> < / span > < span class = "w" > < / span > < span class = "n" > inOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-79" name = "__codelineno-22-79" href = "#__codelineno-22-79" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > ?> < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-22-80" name = "__codelineno-22-80" href = "#__codelineno-22-80" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "m" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s1" > ' in' < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-22-81" name = "__codelineno-22-81" href = "#__codelineno-22-81" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-82" name = "__codelineno-22-82" href = "#__codelineno-22-82" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-83" name = "__codelineno-22-83" href = "#__codelineno-22-83" > < / a >
< a id = "__codelineno-22-84" name = "__codelineno-22-84" href = "#__codelineno-22-84" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 后序遍历 */< / span >
< a id = "__codelineno-22-85" name = "__codelineno-22-85" href = "#__codelineno-22-85" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > ?> < / span > < span class = "w" > < / span > < span class = "n" > postOrder< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-86" name = "__codelineno-22-86" href = "#__codelineno-22-86" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > ?> < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [];< / span >
< a id = "__codelineno-22-87" name = "__codelineno-22-87" href = "#__codelineno-22-87" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "m" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s1" > ' post' < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-22-88" name = "__codelineno-22-88" href = "#__codelineno-22-88" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-89" name = "__codelineno-22-89" href = "#__codelineno-22-89" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-90" name = "__codelineno-22-90" href = "#__codelineno-22-90" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > array_binary_tree.rs< / span > < pre > < span > < / span > < code > < a id = "__codelineno-23-1" name = "__codelineno-23-1" href = "#__codelineno-23-1" > < / a > < span class = "cm" > /* 数组表示下的二叉树类 */< / span >
< a id = "__codelineno-23-2" name = "__codelineno-23-2" href = "#__codelineno-23-2" > < / a > < span class = "k" > struct< / span > < span class = "nc" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-3" name = "__codelineno-23-3" href = "#__codelineno-23-3" > < / a > < span class = "w" > < / span > < span class = "n" > tree< / span > : < span class = "nb" > Vec< / span > < span class = "o" > < < / span > < span class = "nb" > Option< / span > < span class = "o" > < < / span > < span class = "kt" > i32< / span > < span class = "o" > > > < / span > < span class = "p" > ,< / span >
< a id = "__codelineno-23-4" name = "__codelineno-23-4" href = "#__codelineno-23-4" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-23-5" name = "__codelineno-23-5" href = "#__codelineno-23-5" > < / a >
< a id = "__codelineno-23-6" name = "__codelineno-23-6" href = "#__codelineno-23-6" > < / a > < span class = "k" > impl< / span > < span class = "w" > < / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-7" name = "__codelineno-23-7" href = "#__codelineno-23-7" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 构造方法 */< / span >
< a id = "__codelineno-23-8" name = "__codelineno-23-8" href = "#__codelineno-23-8" > < / a > < span class = "w" > < / span > < span class = "k" > fn< / span > < span class = "nf" > new< / span > < span class = "p" > (< / span > < span class = "n" > arr< / span > : < span class = "nb" > Vec< / span > < span class = "o" > < < / span > < span class = "nb" > Option< / span > < span class = "o" > < < / span > < span class = "kt" > i32< / span > < span class = "o" > > > < / span > < span class = "p" > )< / span > < span class = "w" > < / span > -> < span class = "nc" > Self< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-9" name = "__codelineno-23-9" href = "#__codelineno-23-9" > < / a > < span class = "w" > < / span > < span class = "bp" > Self< / span > < span class = "w" > < / span > < span class = "p" > {< / span > < span class = "w" > < / span > < span class = "n" > tree< / span > : < span class = "nc" > arr< / span > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-10" name = "__codelineno-23-10" href = "#__codelineno-23-10" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-11" name = "__codelineno-23-11" href = "#__codelineno-23-11" > < / a >
< a id = "__codelineno-23-12" name = "__codelineno-23-12" href = "#__codelineno-23-12" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 列表容量 */< / span >
< a id = "__codelineno-23-13" name = "__codelineno-23-13" href = "#__codelineno-23-13" > < / a > < span class = "w" > < / span > < span class = "k" > fn< / span > < span class = "nf" > size< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "bp" > self< / span > < span class = "p" > )< / span > < span class = "w" > < / span > -> < span class = "kt" > i32< / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-14" name = "__codelineno-23-14" href = "#__codelineno-23-14" > < / a > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > tree< / span > < span class = "p" > .< / span > < span class = "n" > len< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "k" > as< / span > < span class = "w" > < / span > < span class = "kt" > i32< / span >
< a id = "__codelineno-23-15" name = "__codelineno-23-15" href = "#__codelineno-23-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-16" name = "__codelineno-23-16" href = "#__codelineno-23-16" > < / a >
< a id = "__codelineno-23-17" name = "__codelineno-23-17" href = "#__codelineno-23-17" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的值 */< / span >
< a id = "__codelineno-23-18" name = "__codelineno-23-18" href = "#__codelineno-23-18" > < / a > < span class = "w" > < / span > < span class = "k" > fn< / span > < span class = "nf" > val< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > i< / span > : < span class = "kt" > i32< / span > < span class = "p" > )< / span > < span class = "w" > < / span > -> < span class = "nb" > Option< / span > < span class = "o" > < < / span > < span class = "kt" > i32< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-19" name = "__codelineno-23-19" href = "#__codelineno-23-19" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若索引越界，则返回 None ，代表空位< / span >
< a id = "__codelineno-23-20" name = "__codelineno-23-20" href = "#__codelineno-23-20" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > size< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-21" name = "__codelineno-23-21" href = "#__codelineno-23-21" > < / a > < span class = "w" > < / span > < span class = "nb" > None< / span >
< a id = "__codelineno-23-22" name = "__codelineno-23-22" href = "#__codelineno-23-22" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-23" name = "__codelineno-23-23" href = "#__codelineno-23-23" > < / a > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > tree< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "k" > as< / span > < span class = "w" > < / span > < span class = "kt" > usize< / span > < span class = "p" > ]< / span >
< a id = "__codelineno-23-24" name = "__codelineno-23-24" href = "#__codelineno-23-24" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-25" name = "__codelineno-23-25" href = "#__codelineno-23-25" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-26" name = "__codelineno-23-26" href = "#__codelineno-23-26" > < / a >
< a id = "__codelineno-23-27" name = "__codelineno-23-27" href = "#__codelineno-23-27" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的左子节点的索引 */< / span >
< a id = "__codelineno-23-28" name = "__codelineno-23-28" href = "#__codelineno-23-28" > < / a > < span class = "w" > < / span > < span class = "k" > fn< / span > < span class = "nf" > left< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > i< / span > : < span class = "kt" > i32< / span > < span class = "p" > )< / span > < span class = "w" > < / span > -> < span class = "kt" > i32< / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-29" name = "__codelineno-23-29" href = "#__codelineno-23-29" > < / a > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span >
< a id = "__codelineno-23-30" name = "__codelineno-23-30" href = "#__codelineno-23-30" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-31" name = "__codelineno-23-31" href = "#__codelineno-23-31" > < / a >
< a id = "__codelineno-23-32" name = "__codelineno-23-32" href = "#__codelineno-23-32" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的右子节点的索引 */< / span >
< a id = "__codelineno-23-33" name = "__codelineno-23-33" href = "#__codelineno-23-33" > < / a > < span class = "w" > < / span > < span class = "k" > fn< / span > < span class = "nf" > right< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > i< / span > : < span class = "kt" > i32< / span > < span class = "p" > )< / span > < span class = "w" > < / span > -> < span class = "kt" > i32< / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-34" name = "__codelineno-23-34" href = "#__codelineno-23-34" > < / a > < span class = "w" > < / span > < span class = "mi" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span >
< a id = "__codelineno-23-35" name = "__codelineno-23-35" href = "#__codelineno-23-35" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-36" name = "__codelineno-23-36" href = "#__codelineno-23-36" > < / a >
< a id = "__codelineno-23-37" name = "__codelineno-23-37" href = "#__codelineno-23-37" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的父节点的索引 */< / span >
< a id = "__codelineno-23-38" name = "__codelineno-23-38" href = "#__codelineno-23-38" > < / a > < span class = "w" > < / span > < span class = "k" > fn< / span > < span class = "nf" > parent< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > i< / span > : < span class = "kt" > i32< / span > < span class = "p" > )< / span > < span class = "w" > < / span > -> < span class = "kt" > i32< / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-39" name = "__codelineno-23-39" href = "#__codelineno-23-39" > < / a > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "mi" > 2< / span >
< a id = "__codelineno-23-40" name = "__codelineno-23-40" href = "#__codelineno-23-40" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-41" name = "__codelineno-23-41" href = "#__codelineno-23-41" > < / a >
< a id = "__codelineno-23-42" name = "__codelineno-23-42" href = "#__codelineno-23-42" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 层序遍历 */< / span >
< a id = "__codelineno-23-43" name = "__codelineno-23-43" href = "#__codelineno-23-43" > < / a > < span class = "w" > < / span > < span class = "k" > fn< / span > < span class = "nf" > level_order< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "bp" > self< / span > < span class = "p" > )< / span > < span class = "w" > < / span > -> < span class = "nb" > Vec< / span > < span class = "o" > < < / span > < span class = "kt" > i32< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-44" name = "__codelineno-23-44" href = "#__codelineno-23-44" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "fm" > vec!< / span > < span class = "p" > [];< / span >
< a id = "__codelineno-23-45" name = "__codelineno-23-45" href = "#__codelineno-23-45" > < / a > < span class = "w" > < / span > < span class = "c1" > // 直接遍历数组< / span >
< a id = "__codelineno-23-46" name = "__codelineno-23-46" href = "#__codelineno-23-46" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "o" > ..< / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > size< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-47" name = "__codelineno-23-47" href = "#__codelineno-23-47" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-48" name = "__codelineno-23-48" href = "#__codelineno-23-48" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > push< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > )< / span >
< a id = "__codelineno-23-49" name = "__codelineno-23-49" href = "#__codelineno-23-49" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-50" name = "__codelineno-23-50" href = "#__codelineno-23-50" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-51" name = "__codelineno-23-51" href = "#__codelineno-23-51" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span >
< a id = "__codelineno-23-52" name = "__codelineno-23-52" href = "#__codelineno-23-52" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-53" name = "__codelineno-23-53" href = "#__codelineno-23-53" > < / a >
< a id = "__codelineno-23-54" name = "__codelineno-23-54" href = "#__codelineno-23-54" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 深度优先遍历 */< / span >
< a id = "__codelineno-23-55" name = "__codelineno-23-55" href = "#__codelineno-23-55" > < / a > < span class = "w" > < / span > < span class = "k" > fn< / span > < span class = "nf" > dfs< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > i< / span > : < span class = "kt" > i32< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > order< / span > : < span class = "kp" > & < / span > < span class = "kt" > str< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > : < span class = "kp" > & < / span > < span class = "nc" > mut< / span > < span class = "w" > < / span > < span class = "nb" > Vec< / span > < span class = "o" > < < / span > < span class = "kt" > i32< / span > < span class = "o" > > < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-56" name = "__codelineno-23-56" href = "#__codelineno-23-56" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ).< / span > < span class = "n" > is_none< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-57" name = "__codelineno-23-57" href = "#__codelineno-23-57" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-58" name = "__codelineno-23-58" href = "#__codelineno-23-58" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-59" name = "__codelineno-23-59" href = "#__codelineno-23-59" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ).< / span > < span class = "n" > unwrap< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-23-60" name = "__codelineno-23-60" href = "#__codelineno-23-60" > < / a > < span class = "w" > < / span > < span class = "c1" > // 前序遍历< / span >
< a id = "__codelineno-23-61" name = "__codelineno-23-61" href = "#__codelineno-23-61" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s" > " pre" < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-62" name = "__codelineno-23-62" href = "#__codelineno-23-62" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > push< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-23-63" name = "__codelineno-23-63" href = "#__codelineno-23-63" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-64" name = "__codelineno-23-64" href = "#__codelineno-23-64" > < / a > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-23-65" name = "__codelineno-23-65" href = "#__codelineno-23-65" > < / a > < span class = "w" > < / span > < span class = "c1" > // 中序遍历< / span >
< a id = "__codelineno-23-66" name = "__codelineno-23-66" href = "#__codelineno-23-66" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s" > " in" < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-67" name = "__codelineno-23-67" href = "#__codelineno-23-67" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > push< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-23-68" name = "__codelineno-23-68" href = "#__codelineno-23-68" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-69" name = "__codelineno-23-69" href = "#__codelineno-23-69" > < / a > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-23-70" name = "__codelineno-23-70" href = "#__codelineno-23-70" > < / a > < span class = "w" > < / span > < span class = "c1" > // 后序遍历< / span >
< a id = "__codelineno-23-71" name = "__codelineno-23-71" href = "#__codelineno-23-71" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "s" > " post" < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-72" name = "__codelineno-23-72" href = "#__codelineno-23-72" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "n" > push< / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-23-73" name = "__codelineno-23-73" href = "#__codelineno-23-73" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-74" name = "__codelineno-23-74" href = "#__codelineno-23-74" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-75" name = "__codelineno-23-75" href = "#__codelineno-23-75" > < / a >
< a id = "__codelineno-23-76" name = "__codelineno-23-76" href = "#__codelineno-23-76" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 前序遍历 */< / span >
< a id = "__codelineno-23-77" name = "__codelineno-23-77" href = "#__codelineno-23-77" > < / a > < span class = "w" > < / span > < span class = "k" > fn< / span > < span class = "nf" > pre_order< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "bp" > self< / span > < span class = "p" > )< / span > < span class = "w" > < / span > -> < span class = "nb" > Vec< / span > < span class = "o" > < < / span > < span class = "kt" > i32< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-78" name = "__codelineno-23-78" href = "#__codelineno-23-78" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "fm" > vec!< / span > < span class = "p" > [];< / span >
< a id = "__codelineno-23-79" name = "__codelineno-23-79" href = "#__codelineno-23-79" > < / a > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " pre" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > & < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-23-80" name = "__codelineno-23-80" href = "#__codelineno-23-80" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span >
< a id = "__codelineno-23-81" name = "__codelineno-23-81" href = "#__codelineno-23-81" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-82" name = "__codelineno-23-82" href = "#__codelineno-23-82" > < / a >
< a id = "__codelineno-23-83" name = "__codelineno-23-83" href = "#__codelineno-23-83" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 中序遍历 */< / span >
< a id = "__codelineno-23-84" name = "__codelineno-23-84" href = "#__codelineno-23-84" > < / a > < span class = "w" > < / span > < span class = "k" > fn< / span > < span class = "nf" > in_order< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "bp" > self< / span > < span class = "p" > )< / span > < span class = "w" > < / span > -> < span class = "nb" > Vec< / span > < span class = "o" > < < / span > < span class = "kt" > i32< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-85" name = "__codelineno-23-85" href = "#__codelineno-23-85" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "fm" > vec!< / span > < span class = "p" > [];< / span >
< a id = "__codelineno-23-86" name = "__codelineno-23-86" href = "#__codelineno-23-86" > < / a > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " in" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > & < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-23-87" name = "__codelineno-23-87" href = "#__codelineno-23-87" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span >
< a id = "__codelineno-23-88" name = "__codelineno-23-88" href = "#__codelineno-23-88" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-89" name = "__codelineno-23-89" href = "#__codelineno-23-89" > < / a >
< a id = "__codelineno-23-90" name = "__codelineno-23-90" href = "#__codelineno-23-90" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 后序遍历 */< / span >
< a id = "__codelineno-23-91" name = "__codelineno-23-91" href = "#__codelineno-23-91" > < / a > < span class = "w" > < / span > < span class = "k" > fn< / span > < span class = "nf" > post_order< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "bp" > self< / span > < span class = "p" > )< / span > < span class = "w" > < / span > -> < span class = "nb" > Vec< / span > < span class = "o" > < < / span > < span class = "kt" > i32< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-92" name = "__codelineno-23-92" href = "#__codelineno-23-92" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "fm" > vec!< / span > < span class = "p" > [];< / span >
< a id = "__codelineno-23-93" name = "__codelineno-23-93" href = "#__codelineno-23-93" > < / a > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " post" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > & < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > );< / span >
< a id = "__codelineno-23-94" name = "__codelineno-23-94" href = "#__codelineno-23-94" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span >
< a id = "__codelineno-23-95" name = "__codelineno-23-95" href = "#__codelineno-23-95" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-96" name = "__codelineno-23-96" href = "#__codelineno-23-96" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > array_binary_tree.c< / span > < pre > < span > < / span > < code > < a id = "__codelineno-24-1" name = "__codelineno-24-1" href = "#__codelineno-24-1" > < / a > < span class = "cm" > /* 数组表示下的二叉树结构体 */< / span >
< a id = "__codelineno-24-2" name = "__codelineno-24-2" href = "#__codelineno-24-2" > < / a > < span class = "k" > typedef< / span > < span class = "w" > < / span > < span class = "k" > struct< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-24-3" name = "__codelineno-24-3" href = "#__codelineno-24-3" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > tree< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-4" name = "__codelineno-24-4" href = "#__codelineno-24-4" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-5" name = "__codelineno-24-5" href = "#__codelineno-24-5" > < / a > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-6" name = "__codelineno-24-6" href = "#__codelineno-24-6" > < / a >
< a id = "__codelineno-24-7" name = "__codelineno-24-7" href = "#__codelineno-24-7" > < / a > < span class = "cm" > /* 构造函数 */< / span >
< a id = "__codelineno-24-8" name = "__codelineno-24-8" href = "#__codelineno-24-8" > < / a > < span class = "n" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nf" > newArrayBinaryTree< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > arr< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > arrSize< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-24-9" name = "__codelineno-24-9" href = "#__codelineno-24-9" > < / a > < span class = "w" > < / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > abt< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "p" > )< / span > < span class = "n" > malloc< / span > < span class = "p" > (< / span > < span class = "k" > sizeof< / span > < span class = "p" > (< / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-24-10" name = "__codelineno-24-10" href = "#__codelineno-24-10" > < / a > < span class = "w" > < / span > < span class = "n" > abt< / span > < span class = "o" > -> < / span > < span class = "n" > tree< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > malloc< / span > < span class = "p" > (< / span > < span class = "k" > sizeof< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > arrSize< / span > < span class = "p" > );< / span >
< a id = "__codelineno-24-11" name = "__codelineno-24-11" href = "#__codelineno-24-11" > < / a > < span class = "w" > < / span > < span class = "n" > memcpy< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "o" > -> < / span > < span class = "n" > tree< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > arr< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "k" > sizeof< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > arrSize< / span > < span class = "p" > );< / span >
< a id = "__codelineno-24-12" name = "__codelineno-24-12" href = "#__codelineno-24-12" > < / a > < span class = "w" > < / span > < span class = "n" > abt< / span > < span class = "o" > -> < / span > < span class = "n" > size< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > arrSize< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-13" name = "__codelineno-24-13" href = "#__codelineno-24-13" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > abt< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-14" name = "__codelineno-24-14" href = "#__codelineno-24-14" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-24-15" name = "__codelineno-24-15" href = "#__codelineno-24-15" > < / a >
< a id = "__codelineno-24-16" name = "__codelineno-24-16" href = "#__codelineno-24-16" > < / a > < span class = "cm" > /* 析构函数 */< / span >
< a id = "__codelineno-24-17" name = "__codelineno-24-17" href = "#__codelineno-24-17" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > delArrayBinaryTree< / span > < span class = "p" > (< / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > abt< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-24-18" name = "__codelineno-24-18" href = "#__codelineno-24-18" > < / a > < span class = "w" > < / span > < span class = "n" > free< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "o" > -> < / span > < span class = "n" > tree< / span > < span class = "p" > );< / span >
< a id = "__codelineno-24-19" name = "__codelineno-24-19" href = "#__codelineno-24-19" > < / a > < span class = "w" > < / span > < span class = "n" > free< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > );< / span >
< a id = "__codelineno-24-20" name = "__codelineno-24-20" href = "#__codelineno-24-20" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-24-21" name = "__codelineno-24-21" href = "#__codelineno-24-21" > < / a >
< a id = "__codelineno-24-22" name = "__codelineno-24-22" href = "#__codelineno-24-22" > < / a > < span class = "cm" > /* 列表容量 */< / span >
< a id = "__codelineno-24-23" name = "__codelineno-24-23" href = "#__codelineno-24-23" > < / a > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "nf" > size< / span > < span class = "p" > (< / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > abt< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-24-24" name = "__codelineno-24-24" href = "#__codelineno-24-24" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > abt< / span > < span class = "o" > -> < / span > < span class = "n" > size< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-25" name = "__codelineno-24-25" href = "#__codelineno-24-25" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-24-26" name = "__codelineno-24-26" href = "#__codelineno-24-26" > < / a >
< a id = "__codelineno-24-27" name = "__codelineno-24-27" href = "#__codelineno-24-27" > < / a > < span class = "cm" > /* 获取索引为 i 节点的值 */< / span >
< a id = "__codelineno-24-28" name = "__codelineno-24-28" href = "#__codelineno-24-28" > < / a > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "nf" > val< / span > < span class = "p" > (< / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-24-29" name = "__codelineno-24-29" href = "#__codelineno-24-29" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若索引越界，则返回 INT_MAX ，代表空位< / span >
< a id = "__codelineno-24-30" name = "__codelineno-24-30" href = "#__codelineno-24-30" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-24-31" name = "__codelineno-24-31" href = "#__codelineno-24-31" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-32" name = "__codelineno-24-32" href = "#__codelineno-24-32" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > abt< / span > < span class = "o" > -> < / span > < span class = "n" > tree< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-24-33" name = "__codelineno-24-33" href = "#__codelineno-24-33" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-24-34" name = "__codelineno-24-34" href = "#__codelineno-24-34" > < / a >
< a id = "__codelineno-24-35" name = "__codelineno-24-35" href = "#__codelineno-24-35" > < / a > < span class = "cm" > /* 层序遍历 */< / span >
< a id = "__codelineno-24-36" name = "__codelineno-24-36" href = "#__codelineno-24-36" > < / a > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nf" > levelOrder< / span > < span class = "p" > (< / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > returnSize< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-24-37" name = "__codelineno-24-37" href = "#__codelineno-24-37" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "p" > )< / span > < span class = "n" > malloc< / span > < span class = "p" > (< / span > < span class = "k" > sizeof< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-24-38" name = "__codelineno-24-38" href = "#__codelineno-24-38" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > index< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-39" name = "__codelineno-24-39" href = "#__codelineno-24-39" > < / a > < span class = "w" > < / span > < span class = "c1" > // 直接遍历数组< / span >
< a id = "__codelineno-24-40" name = "__codelineno-24-40" href = "#__codelineno-24-40" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > );< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-24-41" name = "__codelineno-24-41" href = "#__codelineno-24-41" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > )< / span >
< a id = "__codelineno-24-42" name = "__codelineno-24-42" href = "#__codelineno-24-42" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > index< / span > < span class = "o" > ++< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > );< / span >
< a id = "__codelineno-24-43" name = "__codelineno-24-43" href = "#__codelineno-24-43" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-24-44" name = "__codelineno-24-44" href = "#__codelineno-24-44" > < / a > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > returnSize< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > index< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-45" name = "__codelineno-24-45" href = "#__codelineno-24-45" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-46" name = "__codelineno-24-46" href = "#__codelineno-24-46" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-24-47" name = "__codelineno-24-47" href = "#__codelineno-24-47" > < / a >
< a id = "__codelineno-24-48" name = "__codelineno-24-48" href = "#__codelineno-24-48" > < / a > < span class = "cm" > /* 深度优先遍历 */< / span >
< a id = "__codelineno-24-49" name = "__codelineno-24-49" href = "#__codelineno-24-49" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > char< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > res< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > index< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-24-50" name = "__codelineno-24-50" href = "#__codelineno-24-50" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若为空位，则返回< / span >
< a id = "__codelineno-24-51" name = "__codelineno-24-51" href = "#__codelineno-24-51" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > INT_MAX< / span > < span class = "p" > )< / span >
< a id = "__codelineno-24-52" name = "__codelineno-24-52" href = "#__codelineno-24-52" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-53" name = "__codelineno-24-53" href = "#__codelineno-24-53" > < / a > < span class = "w" > < / span > < span class = "c1" > // 前序遍历< / span >
< a id = "__codelineno-24-54" name = "__codelineno-24-54" href = "#__codelineno-24-54" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > strcmp< / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " pre" < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > )< / span >
< a id = "__codelineno-24-55" name = "__codelineno-24-55" href = "#__codelineno-24-55" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [(< / span > < span class = "o" > *< / span > < span class = "n" > index< / span > < span class = "p" > )< / span > < span class = "o" > ++< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > );< / span >
< a id = "__codelineno-24-56" name = "__codelineno-24-56" href = "#__codelineno-24-56" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > left< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > index< / span > < span class = "p" > );< / span >
< a id = "__codelineno-24-57" name = "__codelineno-24-57" href = "#__codelineno-24-57" > < / a > < span class = "w" > < / span > < span class = "c1" > // 中序遍历< / span >
< a id = "__codelineno-24-58" name = "__codelineno-24-58" href = "#__codelineno-24-58" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > strcmp< / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " in" < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > )< / span >
< a id = "__codelineno-24-59" name = "__codelineno-24-59" href = "#__codelineno-24-59" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [(< / span > < span class = "o" > *< / span > < span class = "n" > index< / span > < span class = "p" > )< / span > < span class = "o" > ++< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > );< / span >
< a id = "__codelineno-24-60" name = "__codelineno-24-60" href = "#__codelineno-24-60" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > right< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > index< / span > < span class = "p" > );< / span >
< a id = "__codelineno-24-61" name = "__codelineno-24-61" href = "#__codelineno-24-61" > < / a > < span class = "w" > < / span > < span class = "c1" > // 后序遍历< / span >
< a id = "__codelineno-24-62" name = "__codelineno-24-62" href = "#__codelineno-24-62" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > strcmp< / span > < span class = "p" > (< / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " post" < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > )< / span >
< a id = "__codelineno-24-63" name = "__codelineno-24-63" href = "#__codelineno-24-63" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [(< / span > < span class = "o" > *< / span > < span class = "n" > index< / span > < span class = "p" > )< / span > < span class = "o" > ++< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > val< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "p" > );< / span >
< a id = "__codelineno-24-64" name = "__codelineno-24-64" href = "#__codelineno-24-64" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-24-65" name = "__codelineno-24-65" href = "#__codelineno-24-65" > < / a >
< a id = "__codelineno-24-66" name = "__codelineno-24-66" href = "#__codelineno-24-66" > < / a > < span class = "cm" > /* 前序遍历 */< / span >
< a id = "__codelineno-24-67" name = "__codelineno-24-67" href = "#__codelineno-24-67" > < / a > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nf" > preOrder< / span > < span class = "p" > (< / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > returnSize< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-24-68" name = "__codelineno-24-68" href = "#__codelineno-24-68" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "p" > )< / span > < span class = "n" > malloc< / span > < span class = "p" > (< / span > < span class = "k" > sizeof< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-24-69" name = "__codelineno-24-69" href = "#__codelineno-24-69" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > index< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-70" name = "__codelineno-24-70" href = "#__codelineno-24-70" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " pre" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > & < / span > < span class = "n" > index< / span > < span class = "p" > );< / span >
< a id = "__codelineno-24-71" name = "__codelineno-24-71" href = "#__codelineno-24-71" > < / a > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > returnSize< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > index< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-72" name = "__codelineno-24-72" href = "#__codelineno-24-72" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-73" name = "__codelineno-24-73" href = "#__codelineno-24-73" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-24-74" name = "__codelineno-24-74" href = "#__codelineno-24-74" > < / a >
< a id = "__codelineno-24-75" name = "__codelineno-24-75" href = "#__codelineno-24-75" > < / a > < span class = "cm" > /* 中序遍历 */< / span >
< a id = "__codelineno-24-76" name = "__codelineno-24-76" href = "#__codelineno-24-76" > < / a > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nf" > inOrder< / span > < span class = "p" > (< / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > returnSize< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-24-77" name = "__codelineno-24-77" href = "#__codelineno-24-77" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "p" > )< / span > < span class = "n" > malloc< / span > < span class = "p" > (< / span > < span class = "k" > sizeof< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-24-78" name = "__codelineno-24-78" href = "#__codelineno-24-78" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > index< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-79" name = "__codelineno-24-79" href = "#__codelineno-24-79" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " in" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > & < / span > < span class = "n" > index< / span > < span class = "p" > );< / span >
< a id = "__codelineno-24-80" name = "__codelineno-24-80" href = "#__codelineno-24-80" > < / a > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > returnSize< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > index< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-81" name = "__codelineno-24-81" href = "#__codelineno-24-81" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-82" name = "__codelineno-24-82" href = "#__codelineno-24-82" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-24-83" name = "__codelineno-24-83" href = "#__codelineno-24-83" > < / a >
< a id = "__codelineno-24-84" name = "__codelineno-24-84" href = "#__codelineno-24-84" > < / a > < span class = "cm" > /* 后序遍历 */< / span >
< a id = "__codelineno-24-85" name = "__codelineno-24-85" href = "#__codelineno-24-85" > < / a > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nf" > postOrder< / span > < span class = "p" > (< / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > returnSize< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-24-86" name = "__codelineno-24-86" href = "#__codelineno-24-86" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "p" > )< / span > < span class = "n" > malloc< / span > < span class = "p" > (< / span > < span class = "k" > sizeof< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-24-87" name = "__codelineno-24-87" href = "#__codelineno-24-87" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > index< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-88" name = "__codelineno-24-88" href = "#__codelineno-24-88" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > abt< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " post" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > & < / span > < span class = "n" > index< / span > < span class = "p" > );< / span >
< a id = "__codelineno-24-89" name = "__codelineno-24-89" href = "#__codelineno-24-89" > < / a > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > returnSize< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > index< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-90" name = "__codelineno-24-90" href = "#__codelineno-24-90" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-24-91" name = "__codelineno-24-91" href = "#__codelineno-24-91" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2024-04-09 20:43:47 +08:00
< div class = "highlight" > < span class = "filename" > array_binary_tree.kt< / span > < pre > < span > < / span > < code > < a id = "__codelineno-25-1" name = "__codelineno-25-1" href = "#__codelineno-25-1" > < / a > < span class = "cm" > /* 构造方法 */< / span >
< a id = "__codelineno-25-2" name = "__codelineno-25-2" href = "#__codelineno-25-2" > < / a > < span class = "kd" > class< / span > < span class = "w" > < / span > < span class = "nc" > ArrayBinaryTree< / span > < span class = "p" > (< / span > < span class = "kd" > val< / span > < span class = "w" > < / span > < span class = "nv" > tree< / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "n" > MutableList< / span > < span class = "o" > < < / span > < span class = "kt" > Int?< / span > < span class = "o" > > < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2024-04-02 19:00:08 +08:00
< a id = "__codelineno-25-3" name = "__codelineno-25-3" href = "#__codelineno-25-3" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 列表容量 */< / span >
< a id = "__codelineno-25-4" name = "__codelineno-25-4" href = "#__codelineno-25-4" > < / a > < span class = "w" > < / span > < span class = "kd" > fun< / span > < span class = "w" > < / span > < span class = "nf" > size< / span > < span class = "p" > ():< / span > < span class = "w" > < / span > < span class = "kt" > Int< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-5" name = "__codelineno-25-5" href = "#__codelineno-25-5" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "p" > .< / span > < span class = "na" > size< / span >
< a id = "__codelineno-25-6" name = "__codelineno-25-6" href = "#__codelineno-25-6" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-7" name = "__codelineno-25-7" href = "#__codelineno-25-7" > < / a >
< a id = "__codelineno-25-8" name = "__codelineno-25-8" href = "#__codelineno-25-8" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的值 */< / span >
< a id = "__codelineno-25-9" name = "__codelineno-25-9" href = "#__codelineno-25-9" > < / a > < span class = "w" > < / span > < span class = "kd" > fun< / span > < span class = "w" > < / span > < span class = "nf" > value< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "kt" > Int< / span > < span class = "p" > ):< / span > < span class = "w" > < / span > < span class = "kt" > Int?< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-10" name = "__codelineno-25-10" href = "#__codelineno-25-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若索引越界，则返回 null ，代表空位< / span >
< a id = "__codelineno-25-11" name = "__codelineno-25-11" href = "#__codelineno-25-11" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "m" > 0< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > ())< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "kc" > null< / span >
< a id = "__codelineno-25-12" name = "__codelineno-25-12" href = "#__codelineno-25-12" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > tree< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span >
< a id = "__codelineno-25-13" name = "__codelineno-25-13" href = "#__codelineno-25-13" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-14" name = "__codelineno-25-14" href = "#__codelineno-25-14" > < / a >
< a id = "__codelineno-25-15" name = "__codelineno-25-15" href = "#__codelineno-25-15" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的左子节点的索引 */< / span >
< a id = "__codelineno-25-16" name = "__codelineno-25-16" href = "#__codelineno-25-16" > < / a > < span class = "w" > < / span > < span class = "kd" > fun< / span > < span class = "w" > < / span > < span class = "nf" > left< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "kt" > Int< / span > < span class = "p" > ):< / span > < span class = "w" > < / span > < span class = "kt" > Int< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-17" name = "__codelineno-25-17" href = "#__codelineno-25-17" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "m" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "m" > 1< / span >
< a id = "__codelineno-25-18" name = "__codelineno-25-18" href = "#__codelineno-25-18" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-19" name = "__codelineno-25-19" href = "#__codelineno-25-19" > < / a >
< a id = "__codelineno-25-20" name = "__codelineno-25-20" href = "#__codelineno-25-20" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的右子节点的索引 */< / span >
< a id = "__codelineno-25-21" name = "__codelineno-25-21" href = "#__codelineno-25-21" > < / a > < span class = "w" > < / span > < span class = "kd" > fun< / span > < span class = "w" > < / span > < span class = "nf" > right< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "kt" > Int< / span > < span class = "p" > ):< / span > < span class = "w" > < / span > < span class = "kt" > Int< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-22" name = "__codelineno-25-22" href = "#__codelineno-25-22" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "m" > 2< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > +< / span > < span class = "w" > < / span > < span class = "m" > 2< / span >
< a id = "__codelineno-25-23" name = "__codelineno-25-23" href = "#__codelineno-25-23" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-24" name = "__codelineno-25-24" href = "#__codelineno-25-24" > < / a >
< a id = "__codelineno-25-25" name = "__codelineno-25-25" href = "#__codelineno-25-25" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 获取索引为 i 节点的父节点的索引 */< / span >
< a id = "__codelineno-25-26" name = "__codelineno-25-26" href = "#__codelineno-25-26" > < / a > < span class = "w" > < / span > < span class = "kd" > fun< / span > < span class = "w" > < / span > < span class = "nf" > parent< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "kt" > Int< / span > < span class = "p" > ):< / span > < span class = "w" > < / span > < span class = "kt" > Int< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-27" name = "__codelineno-25-27" href = "#__codelineno-25-27" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "m" > 2< / span >
< a id = "__codelineno-25-28" name = "__codelineno-25-28" href = "#__codelineno-25-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-29" name = "__codelineno-25-29" href = "#__codelineno-25-29" > < / a >
< a id = "__codelineno-25-30" name = "__codelineno-25-30" href = "#__codelineno-25-30" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 层序遍历 */< / span >
2024-04-09 20:43:47 +08:00
< a id = "__codelineno-25-31" name = "__codelineno-25-31" href = "#__codelineno-25-31" > < / a > < span class = "w" > < / span > < span class = "kd" > fun< / span > < span class = "w" > < / span > < span class = "nf" > levelOrder< / span > < span class = "p" > ():< / span > < span class = "w" > < / span > < span class = "n" > MutableList< / span > < span class = "o" > < < / span > < span class = "kt" > Int?< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-32" name = "__codelineno-25-32" href = "#__codelineno-25-32" > < / a > < span class = "w" > < / span > < span class = "kd" > val< / span > < span class = "w" > < / span > < span class = "nv" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > mutableListOf< / span > < span class = "o" > < < / span > < span class = "kt" > Int?< / span > < span class = "o" > > < / span > < span class = "p" > ()< / span >
2024-04-02 19:00:08 +08:00
< a id = "__codelineno-25-33" name = "__codelineno-25-33" href = "#__codelineno-25-33" > < / a > < span class = "w" > < / span > < span class = "c1" > // 直接遍历数组< / span >
< a id = "__codelineno-25-34" name = "__codelineno-25-34" href = "#__codelineno-25-34" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "m" > 0.< / span > < span class = "p" > .< / span > < span class = "o" > < < / span > < span class = "n" > size< / span > < span class = "p" > ())< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2024-04-09 20:43:47 +08:00
< a id = "__codelineno-25-35" name = "__codelineno-25-35" href = "#__codelineno-25-35" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > value< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-36" name = "__codelineno-25-36" href = "#__codelineno-25-36" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "na" > add< / span > < span class = "p" > (< / span > < span class = "n" > value< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-25-37" name = "__codelineno-25-37" href = "#__codelineno-25-37" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-38" name = "__codelineno-25-38" href = "#__codelineno-25-38" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span >
< a id = "__codelineno-25-39" name = "__codelineno-25-39" href = "#__codelineno-25-39" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-40" name = "__codelineno-25-40" href = "#__codelineno-25-40" > < / a >
< a id = "__codelineno-25-41" name = "__codelineno-25-41" href = "#__codelineno-25-41" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 深度优先遍历 */< / span >
< a id = "__codelineno-25-42" name = "__codelineno-25-42" href = "#__codelineno-25-42" > < / a > < span class = "w" > < / span > < span class = "kd" > fun< / span > < span class = "w" > < / span > < span class = "nf" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "kt" > Int< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "kt" > String< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "n" > MutableList< / span > < span class = "o" > < < / span > < span class = "kt" > Int?< / span > < span class = "o" > > < / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-43" name = "__codelineno-25-43" href = "#__codelineno-25-43" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若为空位，则返回< / span >
< a id = "__codelineno-25-44" name = "__codelineno-25-44" href = "#__codelineno-25-44" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > value< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-45" name = "__codelineno-25-45" href = "#__codelineno-25-45" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span >
< a id = "__codelineno-25-46" name = "__codelineno-25-46" href = "#__codelineno-25-46" > < / a > < span class = "w" > < / span > < span class = "c1" > // 前序遍历< / span >
< a id = "__codelineno-25-47" name = "__codelineno-25-47" href = "#__codelineno-25-47" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "s" > " pre" < / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-48" name = "__codelineno-25-48" href = "#__codelineno-25-48" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "na" > add< / span > < span class = "p" > (< / span > < span class = "n" > value< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-25-49" name = "__codelineno-25-49" href = "#__codelineno-25-49" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > left< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-50" name = "__codelineno-25-50" href = "#__codelineno-25-50" > < / a > < span class = "w" > < / span > < span class = "c1" > // 中序遍历< / span >
< a id = "__codelineno-25-51" name = "__codelineno-25-51" href = "#__codelineno-25-51" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "s" > " in" < / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-52" name = "__codelineno-25-52" href = "#__codelineno-25-52" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "na" > add< / span > < span class = "p" > (< / span > < span class = "n" > value< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-25-53" name = "__codelineno-25-53" href = "#__codelineno-25-53" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "n" > right< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-54" name = "__codelineno-25-54" href = "#__codelineno-25-54" > < / a > < span class = "w" > < / span > < span class = "c1" > // 后序遍历< / span >
< a id = "__codelineno-25-55" name = "__codelineno-25-55" href = "#__codelineno-25-55" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "s" > " post" < / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > order< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-56" name = "__codelineno-25-56" href = "#__codelineno-25-56" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > .< / span > < span class = "na" > add< / span > < span class = "p" > (< / span > < span class = "n" > value< / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-25-57" name = "__codelineno-25-57" href = "#__codelineno-25-57" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-58" name = "__codelineno-25-58" href = "#__codelineno-25-58" > < / a >
< a id = "__codelineno-25-59" name = "__codelineno-25-59" href = "#__codelineno-25-59" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 前序遍历 */< / span >
< a id = "__codelineno-25-60" name = "__codelineno-25-60" href = "#__codelineno-25-60" > < / a > < span class = "w" > < / span > < span class = "kd" > fun< / span > < span class = "w" > < / span > < span class = "nf" > preOrder< / span > < span class = "p" > ():< / span > < span class = "w" > < / span > < span class = "n" > MutableList< / span > < span class = "o" > < < / span > < span class = "kt" > Int?< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-61" name = "__codelineno-25-61" href = "#__codelineno-25-61" > < / a > < span class = "w" > < / span > < span class = "kd" > val< / span > < span class = "w" > < / span > < span class = "nv" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > mutableListOf< / span > < span class = "o" > < < / span > < span class = "kt" > Int?< / span > < span class = "o" > > < / span > < span class = "p" > ()< / span >
< a id = "__codelineno-25-62" name = "__codelineno-25-62" href = "#__codelineno-25-62" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "m" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " pre" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-63" name = "__codelineno-25-63" href = "#__codelineno-25-63" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span >
< a id = "__codelineno-25-64" name = "__codelineno-25-64" href = "#__codelineno-25-64" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-65" name = "__codelineno-25-65" href = "#__codelineno-25-65" > < / a >
< a id = "__codelineno-25-66" name = "__codelineno-25-66" href = "#__codelineno-25-66" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 中序遍历 */< / span >
< a id = "__codelineno-25-67" name = "__codelineno-25-67" href = "#__codelineno-25-67" > < / a > < span class = "w" > < / span > < span class = "kd" > fun< / span > < span class = "w" > < / span > < span class = "nf" > inOrder< / span > < span class = "p" > ():< / span > < span class = "w" > < / span > < span class = "n" > MutableList< / span > < span class = "o" > < < / span > < span class = "kt" > Int?< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-68" name = "__codelineno-25-68" href = "#__codelineno-25-68" > < / a > < span class = "w" > < / span > < span class = "kd" > val< / span > < span class = "w" > < / span > < span class = "nv" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > mutableListOf< / span > < span class = "o" > < < / span > < span class = "kt" > Int?< / span > < span class = "o" > > < / span > < span class = "p" > ()< / span >
< a id = "__codelineno-25-69" name = "__codelineno-25-69" href = "#__codelineno-25-69" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "m" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " in" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-70" name = "__codelineno-25-70" href = "#__codelineno-25-70" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span >
< a id = "__codelineno-25-71" name = "__codelineno-25-71" href = "#__codelineno-25-71" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-72" name = "__codelineno-25-72" href = "#__codelineno-25-72" > < / a >
< a id = "__codelineno-25-73" name = "__codelineno-25-73" href = "#__codelineno-25-73" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 后序遍历 */< / span >
< a id = "__codelineno-25-74" name = "__codelineno-25-74" href = "#__codelineno-25-74" > < / a > < span class = "w" > < / span > < span class = "kd" > fun< / span > < span class = "w" > < / span > < span class = "nf" > postOrder< / span > < span class = "p" > ():< / span > < span class = "w" > < / span > < span class = "n" > MutableList< / span > < span class = "o" > < < / span > < span class = "kt" > Int?< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-75" name = "__codelineno-25-75" href = "#__codelineno-25-75" > < / a > < span class = "w" > < / span > < span class = "kd" > val< / span > < span class = "w" > < / span > < span class = "nv" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > mutableListOf< / span > < span class = "o" > < < / span > < span class = "kt" > Int?< / span > < span class = "o" > > < / span > < span class = "p" > ()< / span >
< a id = "__codelineno-25-76" name = "__codelineno-25-76" href = "#__codelineno-25-76" > < / a > < span class = "w" > < / span > < span class = "n" > dfs< / span > < span class = "p" > (< / span > < span class = "m" > 0< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "s" > " post" < / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-77" name = "__codelineno-25-77" href = "#__codelineno-25-77" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > res< / span >
< a id = "__codelineno-25-78" name = "__codelineno-25-78" href = "#__codelineno-25-78" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-79" name = "__codelineno-25-79" href = "#__codelineno-25-79" > < / a > < span class = "p" > }< / span >
2024-04-02 19:00:08 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > array_binary_tree.rb< / span > < pre > < span > < / span > < code > < a id = "__codelineno-26-1" name = "__codelineno-26-1" href = "#__codelineno-26-1" > < / a > < span class = "o" > [< / span > < span class = "n" > class< / span > < span class = "o" > ]< / span > < span class = "p" > {< / span > < span class = "no" > ArrayBinaryTree< / span > < span class = "p" > }< / span > < span class = "o" > -[< / span > < span class = "n" > func< / span > < span class = "o" > ]< / span > < span class = "p" > {}< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > array_binary_tree.zig< / span > < pre > < span > < / span > < code > < a id = "__codelineno-27-1" name = "__codelineno-27-1" href = "#__codelineno-27-1" > < / a > < span class = "p" > [< / span > < span class = "n" > class< / span > < span class = "p" > ]{< / span > < span class = "n" > ArrayBinaryTree< / span > < span class = "p" > }< / span > < span class = "o" > -< / span > < span class = "p" > [< / span > < span class = "n" > func< / span > < span class = "p" > ]{}< / span >
< / code > < / pre > < / div >
< / div >
< / div >
< / div >
< details class = "pythontutor" >
< summary > Code Visualization< / summary >
< p > < div style = "height: 549px; width: 100%;" > < iframe class = "pythontutor-iframe" src = "https://pythontutor.com/iframe-embed.html#code=class%20TreeNode%3A%0A%20%20%20%20%22%22%22%E4%BA%8C%E5%8F%89%E6%A0%91%E8%8A%82%E7%82%B9%E7%B1%BB%22%22%22%0A%20%20%20%20def%20__init__%28self,%20val%29%3A%0A%20%20%20%20%20%20%20%20self.val%20%3D%20val%0A%20%20%20%20%20%20%20%20self.left%20%3D%20None%0A%20%20%20%20%20%20%20%20self.right%20%3D%20None%0A%0Aclass%20ArrayBinaryTree%3A%0A%20%20%20%20%22%22%22%E6%95%B0%E7%BB%84%E8%A1%A8%E7%A4%BA%E4%B8%8B%E7%9A%84%E4%BA%8C%E5%8F%89%E6%A0%91%E7%B1%BB%22%22%22%0A%0A%20%20%20%20def%20__init__%28self,%20arr%3A%20list%5Bint%20%7C%20None%5D%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E6%9E%84%E9%80%A0%E6%96%B9%E6%B3%95%22%22%22%0A%20%20%20%20%20%20%20%20self._tree%20%3D%20list%28arr%29%0A%0A%20%20%20%20def%20size%28self%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E5%88%97%E8%A1%A8%E5%AE%B9%E9%87%8F%22%22%22%0A%20%20%20%20%20%20%20%20return%20len%28self._tree%29%0A%0A%20%20%20%20def%20val%28self,%20i%3A%20int%29%20-%3E%20int%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E8%8E%B7%E5%8F%96%E7%B4%A2%E5%BC%95%E4%B8%BA%20i%20%E8%8A%82%E7%82%B9%E7%9A%84%E5%80%BC%22%22%22%0A%20%20%20%20%20%20%20%20if%20i%20%3C%200%20or%20i%20%3E%3D%20self.size%28%29%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20return%20None%0A%20%20%20%20%20%20%20%20return%20self._tree%5Bi%5D%0A%0A%20%20%20%20def%20left%28self,%20i%3A%20int%29%20-%3E%20int%20%7C%20None%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E8%8E%B7%E5%8F%96%E5%B7%A6%E5%AD%90%E8%8A%82%E7%82%B9%E7%9A%84%E7%B4%A2%E5%BC%95%22%22%22%0A%20%20%20%20%20%20%20%20return%202%20*%20i%20%2B%201%0A%0A%20%20%20%20def%20right%28self,%20i%3A%20int%29%20-%3E%20int%20%7C%20None%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E8%8E%B7%E5%8F%96%E5%8F%B3%E5%AD%90%E8%8A%82%E7%82%B9%E7%9A%84%E7%B4%A2%E5%BC%95%22%22%22%0A%20%20%20%20%20%20%20%20return%202%20*%20i%20%2B%202%0A%0A%20%20%20%20def%20parent%28self,%20i%3A%20int%29%20-%3E%20int%20%7C%20None%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E8%8E%B7%E5%8F%96%E7%88%B6%E8%8A%82%E7%82%B9%E7%9A%84%E7%B4%A2%E5%BC%95%22%22%22%0A%20%20%20%20%20%20%20%20return%20%28i%20-%201%29%20//%202%0A%0A%20%20%20%20def%20level_order%28self%29%20-%3E%20list%5Bint%5D%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E5%B1%82%E5%BA%8F%E9%81%8D%E5%8E%86%22%22%22%0A%20%20%20%20%20%20%20%20self.res%20%3D%20%5B%5D%0A%20%20%20%20%20%20%20%20%23%20%E7%9B%B4%E6%8E%A5%E9%81%8D%E5%8E%86%E6%95%B0%E7%BB%84%0A%20%20%20%20%20%20%20%20for%20i%20in%20range%28self.size%28%29%29%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20if%20self.val%28i%29%20is%20not%20None%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20self.res.append%28self.val%28i%29%29%0A%20%20%20%20%20%20%20%20return%20self.res%0A%0A%20%20%20%20def%20dfs%28self,%20i%3A%20int,%20order%3A%20str%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E6%B7%B1%E5%BA%A6%E4%BC%98%E5%85%88%E9%81%8D%E5%8E%86%22%22%22%0A%20%20%20%20%20%20%20%20if%20self.val%28i%29%20is%20None%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20return%0A%20%20%20%20%20%20%20%20%23%20%E5%89%8D%E5%BA%8F%E9%81%8D%E5%8E%86%0A%20%20%20%20%20%20%20%20if%20order%20%3D%3D%20%22pre%22%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20self.res.append%28self.val%28i%29%29%0A%20%20%20%20%20%20%20%20self.dfs%28self.left%28i%29,%20order%29%0A%20%20%20%20%20%20%20%20%23%20%E4%B8%AD%E5%BA%8F%E9%81%8D%E5%8E%86%0A%20%20%20%20%20%20%20%20if%20order%20%3D%3D%20%22in%22%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20self.res.append%28self.val%28i%29%29%0A%20%20%20%20%20%20%20%20self.dfs%28self.right%28i%29,%20order%29%0A%20%20%20%20%20%20%20%20%23%20%E5%90%8E%E5%BA%8F%E9%81%8D%E5%8E%86%0A%20%20%20%20%20%20%20%20if%20order%20%3D%3D%20%22post%22%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20self.res.append%28self.val%28i%29%29%0A%0A%20%20%20%20def%20pre_order%28self%29%20-%3E%20list%5Bint%5D%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E5%89%8D%E5%BA%8F%E9%81%8D%E5%8E%86%22%22%22%0A%20%20%20%20%20%20%20%20self.res%20%3D%20%5B%5D%0A%20%20%20%20%20%20%20%20self.dfs%280,%20order%3D%22pre%22%29%0A%20%20%20%20%20%20%20%20return%20self.res%0A%0A%20%20%20%20def%20in_orde
< div style = "margin-top: 5px;" > < a href = "https://pythontutor.com/iframe-embed.html#code=class%20TreeNode%3A%0A%20%20%20%20%22%22%22%E4%BA%8C%E5%8F%89%E6%A0%91%E8%8A%82%E7%82%B9%E7%B1%BB%22%22%22%0A%20%20%20%20def%20__init__%28self,%20val%29%3A%0A%20%20%20%20%20%20%20%20self.val%20%3D%20val%0A%20%20%20%20%20%20%20%20self.left%20%3D%20None%0A%20%20%20%20%20%20%20%20self.right%20%3D%20None%0A%0Aclass%20ArrayBinaryTree%3A%0A%20%20%20%20%22%22%22%E6%95%B0%E7%BB%84%E8%A1%A8%E7%A4%BA%E4%B8%8B%E7%9A%84%E4%BA%8C%E5%8F%89%E6%A0%91%E7%B1%BB%22%22%22%0A%0A%20%20%20%20def%20__init__%28self,%20arr%3A%20list%5Bint%20%7C%20None%5D%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E6%9E%84%E9%80%A0%E6%96%B9%E6%B3%95%22%22%22%0A%20%20%20%20%20%20%20%20self._tree%20%3D%20list%28arr%29%0A%0A%20%20%20%20def%20size%28self%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E5%88%97%E8%A1%A8%E5%AE%B9%E9%87%8F%22%22%22%0A%20%20%20%20%20%20%20%20return%20len%28self._tree%29%0A%0A%20%20%20%20def%20val%28self,%20i%3A%20int%29%20-%3E%20int%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E8%8E%B7%E5%8F%96%E7%B4%A2%E5%BC%95%E4%B8%BA%20i%20%E8%8A%82%E7%82%B9%E7%9A%84%E5%80%BC%22%22%22%0A%20%20%20%20%20%20%20%20if%20i%20%3C%200%20or%20i%20%3E%3D%20self.size%28%29%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20return%20None%0A%20%20%20%20%20%20%20%20return%20self._tree%5Bi%5D%0A%0A%20%20%20%20def%20left%28self,%20i%3A%20int%29%20-%3E%20int%20%7C%20None%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E8%8E%B7%E5%8F%96%E5%B7%A6%E5%AD%90%E8%8A%82%E7%82%B9%E7%9A%84%E7%B4%A2%E5%BC%95%22%22%22%0A%20%20%20%20%20%20%20%20return%202%20*%20i%20%2B%201%0A%0A%20%20%20%20def%20right%28self,%20i%3A%20int%29%20-%3E%20int%20%7C%20None%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E8%8E%B7%E5%8F%96%E5%8F%B3%E5%AD%90%E8%8A%82%E7%82%B9%E7%9A%84%E7%B4%A2%E5%BC%95%22%22%22%0A%20%20%20%20%20%20%20%20return%202%20*%20i%20%2B%202%0A%0A%20%20%20%20def%20parent%28self,%20i%3A%20int%29%20-%3E%20int%20%7C%20None%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E8%8E%B7%E5%8F%96%E7%88%B6%E8%8A%82%E7%82%B9%E7%9A%84%E7%B4%A2%E5%BC%95%22%22%22%0A%20%20%20%20%20%20%20%20return%20%28i%20-%201%29%20//%202%0A%0A%20%20%20%20def%20level_order%28self%29%20-%3E%20list%5Bint%5D%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E5%B1%82%E5%BA%8F%E9%81%8D%E5%8E%86%22%22%22%0A%20%20%20%20%20%20%20%20self.res%20%3D%20%5B%5D%0A%20%20%20%20%20%20%20%20%23%20%E7%9B%B4%E6%8E%A5%E9%81%8D%E5%8E%86%E6%95%B0%E7%BB%84%0A%20%20%20%20%20%20%20%20for%20i%20in%20range%28self.size%28%29%29%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20if%20self.val%28i%29%20is%20not%20None%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20self.res.append%28self.val%28i%29%29%0A%20%20%20%20%20%20%20%20return%20self.res%0A%0A%20%20%20%20def%20dfs%28self,%20i%3A%20int,%20order%3A%20str%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E6%B7%B1%E5%BA%A6%E4%BC%98%E5%85%88%E9%81%8D%E5%8E%86%22%22%22%0A%20%20%20%20%20%20%20%20if%20self.val%28i%29%20is%20None%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20return%0A%20%20%20%20%20%20%20%20%23%20%E5%89%8D%E5%BA%8F%E9%81%8D%E5%8E%86%0A%20%20%20%20%20%20%20%20if%20order%20%3D%3D%20%22pre%22%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20self.res.append%28self.val%28i%29%29%0A%20%20%20%20%20%20%20%20self.dfs%28self.left%28i%29,%20order%29%0A%20%20%20%20%20%20%20%20%23%20%E4%B8%AD%E5%BA%8F%E9%81%8D%E5%8E%86%0A%20%20%20%20%20%20%20%20if%20order%20%3D%3D%20%22in%22%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20self.res.append%28self.val%28i%29%29%0A%20%20%20%20%20%20%20%20self.dfs%28self.right%28i%29,%20order%29%0A%20%20%20%20%20%20%20%20%23%20%E5%90%8E%E5%BA%8F%E9%81%8D%E5%8E%86%0A%20%20%20%20%20%20%20%20if%20order%20%3D%3D%20%22post%22%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20self.res.append%28self.val%28i%29%29%0A%0A%20%20%20%20def%20pre_order%28self%29%20-%3E%20list%5Bint%5D%3A%0A%20%20%20%20%20%20%20%20%22%22%22%E5%89%8D%E5%BA%8F%E9%81%8D%E5%8E%86%22%22%22%0A%20%20%20%20%20%20%20%20self.res%20%3D%20%5B%5D%0A%20%20%20%20%20%20%20%20self.dfs%280,%20order%3D%22pre%22%29%0A%20%20%20%20%20%20%20%20return%20self.res%0A%0A%20%20%20%20def%20in_order%28self%29%20-%3E%20list%5Bint%5D%3A%0A%20%2
< / details >
< h2 id = "733-advantages-and-limitations" > 7.3.3 Advantages and limitations< a class = "headerlink" href = "#733-advantages-and-limitations" title = "Permanent link" > ¶ < / a > < / h2 >
< p > The array representation of binary trees has the following advantages:< / p >
< ul >
< li > Arrays are stored in contiguous memory spaces, which is cache-friendly and allows for faster access and traversal.< / li >
< li > It does not require storing pointers, which saves space.< / li >
< li > It allows random access to nodes.< / li >
< / ul >
< p > However, the array representation also has some limitations:< / p >
< ul >
< li > Array storage requires contiguous memory space, so it is not suitable for storing trees with a large amount of data.< / li >
< li > Adding or deleting nodes requires array insertion and deletion operations, which are less efficient.< / li >
< li > When there are many < code > None< / code > values in the binary tree, the proportion of node data contained in the array is low, leading to lower space utilization.< / li >
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