1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
| #include <functional>
#include <iostream>
#include <optional>
#include <string>
#include <vector>
template <typename T>
concept Comparable = requires(T a, T b) {
{ a < b } -> std::convertible_to<bool>;
{ a > b } -> std::convertible_to<bool>;
{ a == b } -> std::convertible_to<bool>;
};
template <typename T>
concept Streamable = requires(T a, std::ostream& os) {
{ os << a } -> std::same_as<std::ostream&>;
};
template <Comparable K, Streamable V>
class PairBSTree {
private:
using Pair = std::pair<K, V>;
struct TreeNode {
Pair _pair;
TreeNode* _left;
TreeNode* _right;
TreeNode() = default;
TreeNode(const Pair& pair)
: _pair(pair), _left(nullptr), _right(nullptr) {}
TreeNode(Pair&& pair)
: _pair(std::move(pair)), _left(nullptr), _right(nullptr) {}
~TreeNode() = default;
};
TreeNode* _root;
void build_(const std::vector<Pair>& nodes) {
for (const auto& pair : nodes) {
Insert(pair);
}
}
void build_(std::vector<Pair>&& nodes) {
for (Pair& pair : nodes) {
Insert(std::move(pair));
}
}
void destroy_(TreeNode* node) {
if (node) {
destroy_(node->_left);
destroy_(node->_right);
delete node;
node = nullptr;
}
}
TreeNode*& search_(TreeNode*& node, K key) const {
if (!node || key == node->_pair.first) {
return node;
}
if (key < node->_pair.first) {
return search_(node->_left, key);
}
return search_(node->_right, key);
}
void insert_(TreeNode*& node, const Pair& pair) {
if (!node) {
node = new TreeNode(pair);
return;
}
auto key = pair.first;
if (key == node->_pair.first) {
node->_pair = pair;
} else if (key < node->_pair.first) {
insert_(node->_left, pair);
} else {
insert_(node->_right, pair);
}
}
TreeNode*& go_to_max_(TreeNode*& node) {
while (node->_right) {
node = node->_right;
}
return node;
}
TreeNode*& go_to_min_(TreeNode*& node) {
while (node->_left) {
node = node->_left;
}
return node;
}
void delete_(TreeNode*& node, K key) {
auto& target = search_(node, key);
if (!target) {
return;
}
if (!target->_left && !target->_right) {
delete target;
target = nullptr;
return;
}
if (!target->_left) {
TreeNode* temp = target->_right;
delete target;
target = temp;
return;
}
if (!target->_right) {
TreeNode* temp = target->_left;
delete target;
target = temp;
return;
}
auto& max_in_left = go_to_max_(target->_left);
target->_pair = max_in_left->_pair;
// 1. 常规的递归,把整个左子树当做新的树
// delete_(target->_left, max_in_left->_pair.first);
// 2. 直接传入 max_in_left 即可
// delete_(max_in_left, max_in_left->_pair.first);
// 3. 实际上不需要递归,因为 max_in_left 是左边最大的值,一定没有右子树
TreeNode* temp = max_in_left->_left;
delete max_in_left;
max_in_left = temp;
// 我开始时候的代码(有误):
// auto& max_in_left = go_to_max_(node->_left); // 应该是
// current->_left current->_pair = max_in_left->_pair; delete
// (max_in_left); max_in_left = nullptr;
// 第三种和我开始时候的逻辑类似
// 但我当时忘了保留 max_in_left 的左子树(如果存在)
}
static void normal_print_func_(const Pair& pair) {
std::cout << pair.second << " | ";
}
void in_order_(TreeNode* node, std::function<void(const Pair&)> func) {
if (!node) {
return;
}
in_order_(node->_left, func);
func(node->_pair);
in_order_(node->_right, func);
}
public:
PairBSTree() : _root(nullptr) {}
PairBSTree(const std::vector<Pair>& pairs) : _root(nullptr) {
build_(pairs);
}
PairBSTree(std::vector<Pair>&& pairs) : _root(nullptr) {
build_(std::move(pairs));
}
~PairBSTree() { destroy_(_root); }
std::optional<V> Search(K key) {
auto node = search_(_root, key);
if (!node) {
return std::nullopt;
}
return node->_pair.second;
}
void Insert(const Pair& pair) { insert_(_root, pair); }
void Delete(K key) { delete_(_root, key); }
void InOrder(std::function<void(Pair)> func = normal_print_func_) {
in_order_(_root, func);
}
[[nodiscard]] size_t Size() {
size_t size = 0;
InOrder([&size](std::pair<K, V>) { ++size; });
return size;
}
[[nodiscard]] V Max() {
auto temp = _root;
go_to_max_(temp);
return temp->_pair.second;
}
[[nodiscard]] V Min() {
auto temp = _root;
go_to_min_(temp);
return temp->_pair.second;
}
};
int main(void) {
std::vector<std::pair<int, std::string>> pairs = {
{2, "Bob"}, {9, "Jack"}, {4, "Lucy"}, {23, "Evan"},
{3, "Gorge"}, {12, "Lily"}, {15, "Mono"}, {90, "Rick"},
{14, "Lance"}, {76, "Molly"}, {24, "Stan"}, {11, "Scot"},
{54, "Mint"}, {37, "Biance"}, {35, "Cower"}, {1, "Brick"},
};
PairBSTree tree(pairs);
std::cout << "Name of 9: " << tree.Search(9).value_or("nothing") << '\n';
std::cout << "Size: " << tree.Size() << '\n';
// std::cout << "Min: " << tree.Min() << '\n';
// std::cout << "Max: " << tree.Max() << '\n';
tree.InOrder();
std::cout << '\n';
tree.Delete(15);
std::cout << "Size: " << tree.Size() << '\n';
tree.InOrder();
std::cout << '\n';
std::vector<std::string> names_in_order;
tree.InOrder([&names_in_order](std::pair<int, std::string> pair) {
std::cout << pair.second << " -- ";
names_in_order.push_back(pair.second);
});
std::cout << std::endl;
return 0;
}
|