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| 1 | +/** |
| 2 | + * Author: Juntaran |
| 3 | + * Email: Jacinthmail@gmail.com |
| 4 | + * Date: 2017/4/17 15:33 |
| 5 | + */ |
| 6 | + |
| 7 | +package Binary_Tree |
| 8 | + |
| 9 | +import ( |
| 10 | + "errors" |
| 11 | + "fmt" |
| 12 | +) |
| 13 | + |
| 14 | +// 树节点结构 |
| 15 | +type TreeNode struct { |
| 16 | + Value int |
| 17 | + parent *TreeNode |
| 18 | + lchild *TreeNode |
| 19 | + rchild *TreeNode |
| 20 | +} |
| 21 | + |
| 22 | +// 树结构 |
| 23 | +type Tree struct { |
| 24 | + Head *TreeNode |
| 25 | + Size int |
| 26 | +} |
| 27 | + |
| 28 | + |
| 29 | +// 创建一个节点 |
| 30 | +func NewNode(value int) *TreeNode { |
| 31 | + newNode := &TreeNode{ |
| 32 | + Value: value, |
| 33 | + } |
| 34 | + return newNode |
| 35 | +} |
| 36 | + |
| 37 | +// 对比节点值 |
| 38 | +func (node *TreeNode) Compare(m *TreeNode) int { |
| 39 | + if node.Value < m.Value { |
| 40 | + return -1 |
| 41 | + } else if node.Value > m.Value { |
| 42 | + return 1 |
| 43 | + } else { |
| 44 | + return 0 |
| 45 | + } |
| 46 | +} |
| 47 | + |
| 48 | +// 创建一棵树 |
| 49 | +func NewTree(node *TreeNode) *Tree { |
| 50 | + if node == nil { |
| 51 | + return &Tree{} |
| 52 | + } |
| 53 | + return &Tree{ |
| 54 | + Head: node, |
| 55 | + Size: 1, |
| 56 | + } |
| 57 | +} |
| 58 | + |
| 59 | +// 插入元素 |
| 60 | +func (tree *Tree)Insert(value int) { |
| 61 | + node := NewNode(value) // node是待插入节点 |
| 62 | + if tree.Size == 0 { |
| 63 | + tree.Head = node |
| 64 | + tree.Size ++ |
| 65 | + return |
| 66 | + } |
| 67 | + head := tree.Head |
| 68 | + for { |
| 69 | + if node.Compare(head) == -1 { |
| 70 | + if head.lchild == nil { |
| 71 | + head.lchild = node |
| 72 | + node.parent = head |
| 73 | + break |
| 74 | + } else { |
| 75 | + head = head.lchild |
| 76 | + } |
| 77 | + } else { |
| 78 | + if head.rchild == nil { |
| 79 | + head.rchild = node |
| 80 | + node.parent = head |
| 81 | + break |
| 82 | + } else { |
| 83 | + head = head.rchild |
| 84 | + } |
| 85 | + } |
| 86 | + } |
| 87 | + tree.Size ++ |
| 88 | +} |
| 89 | + |
| 90 | +// 搜索元素 |
| 91 | +func (tree *Tree) Search(value int) (*TreeNode, error) { |
| 92 | + head := tree.Head // 待搜索的树 |
| 93 | + node := NewNode(value) // 待搜索元素 |
| 94 | + |
| 95 | + for head != nil { |
| 96 | + switch head.Compare(node) { |
| 97 | + case -1: |
| 98 | + head = head.rchild |
| 99 | + case 1: |
| 100 | + head = head.lchild |
| 101 | + case 0: |
| 102 | + return head, nil |
| 103 | + default: |
| 104 | + err := errors.New("Node not Found") |
| 105 | + return nil, err |
| 106 | + } |
| 107 | + } |
| 108 | + err := errors.New("Error: Search Node not Found") |
| 109 | + return nil, err |
| 110 | +} |
| 111 | + |
| 112 | +// 删除元素 |
| 113 | +func (tree *Tree) Delete(value int) error { |
| 114 | + count := 0 |
| 115 | +Search: |
| 116 | + _, err := tree.Search(value) |
| 117 | + //fmt.Println(ret.Value) |
| 118 | + // 该元素不存在 |
| 119 | + if err != nil { // err != nil 表示没有搜索到这个元素 |
| 120 | + if count == 0 { |
| 121 | + return errors.New("Error: Delete not Found") |
| 122 | + } |
| 123 | + return nil |
| 124 | + } |
| 125 | + |
| 126 | + var parent *TreeNode |
| 127 | + head := tree.Head |
| 128 | + node := NewNode(value) |
| 129 | + for node != nil { |
| 130 | + switch node.Compare(head) { |
| 131 | + case -1: |
| 132 | + parent = head |
| 133 | + head = head.lchild |
| 134 | + case 1: |
| 135 | + parent = head |
| 136 | + head = head.rchild |
| 137 | + case 0: |
| 138 | + // 找到的节点是叶子节点 |
| 139 | + if head.lchild == nil && head.rchild == nil { |
| 140 | + if parent.lchild == head { |
| 141 | + parent.lchild = nil |
| 142 | + } else { |
| 143 | + parent.rchild = nil |
| 144 | + } |
| 145 | + count ++ |
| 146 | + tree.Size -- |
| 147 | + goto Search |
| 148 | + } |
| 149 | + // 搜索到该节点,且该节点左孩子不为空 |
| 150 | + if head.lchild != nil { |
| 151 | + right := head.rchild |
| 152 | + temp := head.lchild.rchild |
| 153 | + head.Value = head.lchild.Value |
| 154 | + head.lchild = head.lchild.lchild |
| 155 | + if head.lchild != nil { |
| 156 | + head.lchild.parent = head |
| 157 | + } |
| 158 | + head.rchild = temp |
| 159 | + if head.rchild != nil { |
| 160 | + head.rchild.parent = head |
| 161 | + } |
| 162 | + // 如果搜索到的节点有右孩子 |
| 163 | + if right != nil { |
| 164 | + // 循环,一直找左子树的最右节点 |
| 165 | + tempHead := head |
| 166 | + for tempHead.rchild != nil { |
| 167 | + tempHead = tempHead.rchild |
| 168 | + } |
| 169 | + tempHead.rchild = right |
| 170 | + right.parent = tempHead |
| 171 | + } |
| 172 | + tree.Size -- |
| 173 | + count ++ |
| 174 | + goto Search |
| 175 | + } |
| 176 | + // 搜索到该节点,且该节点没有左孩子,只有右孩子且不为空 |
| 177 | + if head.rchild != nil { |
| 178 | + head.Value = head.rchild.Value |
| 179 | + head.lchild = head.rchild.lchild |
| 180 | + if head.lchild != nil { |
| 181 | + head.lchild.parent = head |
| 182 | + } |
| 183 | + head.rchild = head.rchild.rchild |
| 184 | + if head.rchild != nil { |
| 185 | + head.rchild.parent = head |
| 186 | + } |
| 187 | + tree.Size -- |
| 188 | + count ++ |
| 189 | + goto Search |
| 190 | + } |
| 191 | + // 如果这棵树只有一个节点,就是待删除节点 |
| 192 | + if parent == nil { |
| 193 | + tree.Head = nil |
| 194 | + tree.Size -- |
| 195 | + count ++ |
| 196 | + return nil |
| 197 | + } |
| 198 | + |
| 199 | + } |
| 200 | + } |
| 201 | + return errors.New("Error: Delete not Found") |
| 202 | +} |
| 203 | + |
| 204 | +// 树的遍历 |
| 205 | +// 前序遍历 |
| 206 | +func (tree *Tree)PreOrderTraverse() { |
| 207 | + fmt.Println("Start PrenOrderTraverse") |
| 208 | + preOrder(tree.Head) |
| 209 | + fmt.Println() |
| 210 | +} |
| 211 | +func preOrder(root *TreeNode) { |
| 212 | + if root == nil { |
| 213 | + return |
| 214 | + } |
| 215 | + fmt.Printf("%4d ", root.Value) |
| 216 | + preOrder(root.lchild) |
| 217 | + preOrder(root.rchild) |
| 218 | + return |
| 219 | +} |
| 220 | + |
| 221 | +// 中序遍历 |
| 222 | +func (tree *Tree)InOrderTraverse() { |
| 223 | + fmt.Println("Start InOrderTraverse") |
| 224 | + inOrder(tree.Head) |
| 225 | + fmt.Println() |
| 226 | +} |
| 227 | +func inOrder(root *TreeNode) { |
| 228 | + if root == nil { |
| 229 | + return |
| 230 | + } |
| 231 | + inOrder(root.lchild) |
| 232 | + fmt.Printf("%4d ", root.Value) |
| 233 | + inOrder(root.rchild) |
| 234 | + return |
| 235 | +} |
| 236 | + |
| 237 | +// 后序遍历 |
| 238 | +func (tree *Tree)PostOrderTraverse() { |
| 239 | + fmt.Println("Start PostOrderTraverse") |
| 240 | + postOrder(tree.Head) |
| 241 | + fmt.Println() |
| 242 | +} |
| 243 | +func postOrder(root *TreeNode) { |
| 244 | + if root == nil { |
| 245 | + return |
| 246 | + } |
| 247 | + postOrder(root.lchild) |
| 248 | + postOrder(root.rchild) |
| 249 | + fmt.Printf("%4d ", root.Value) |
| 250 | + return |
| 251 | +} |
| 252 | + |
| 253 | +// 层序遍历 |
| 254 | +func (tree *Tree)LevelTraverse() { |
| 255 | + fmt.Println("Start LevelTraverse") |
| 256 | + if tree.Head == nil { |
| 257 | + return |
| 258 | + } |
| 259 | + root := tree.Head |
| 260 | + var treeQueue []*TreeNode |
| 261 | + treeQueue = append(treeQueue, root) |
| 262 | + var current int = 0 |
| 263 | + var last int = 1 |
| 264 | + for current < len(treeQueue) { |
| 265 | + last = len(treeQueue) |
| 266 | + for current < last { |
| 267 | + fmt.Printf("%4d ", treeQueue[current].Value) |
| 268 | + if treeQueue[current].lchild != nil { |
| 269 | + treeQueue = append(treeQueue, treeQueue[current].lchild) |
| 270 | + } |
| 271 | + if treeQueue[current].rchild != nil { |
| 272 | + treeQueue = append(treeQueue, treeQueue[current].rchild) |
| 273 | + } |
| 274 | + current ++ |
| 275 | + } |
| 276 | + fmt.Println() |
| 277 | + } |
| 278 | + fmt.Println() |
| 279 | +} |
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