Java通過遞歸進行二叉樹遍歷
// 測試二叉樹遍歷,遞歸算法 public class TestBinaryTree { public static void main(String[] args) { Node<String> g = new Node<String>("G", null, null); Node<String> e = new Node<String>("E", null, null); Node<String> f = new Node<String>("F", null, null); Node<String> d = new Node<String>("D", null, g); Node<String> b = new Node<String>("B", d, e); Node<String> c = new Node<String>("C", null, f); Node<String> a = new Node<String>("A", b, c);System.out.println("生成的二叉樹:"); System.out.println(" A"); System.out.println(" | "); System.out.println(" |---------|"); System.out.println(" B C"); System.out.println(" | |"); System.out.println(" |---------| -----|"); System.out.println(" D E F"); System.out.println(" |"); System.out.println(" ----|"); System.out.println(" G"); System.out.println("二叉樹深度:" + BinaryTree.getDepth(a)); System.out.print("前序遍歷:"); BinaryTree.priorderTraversal(a); System.out.println(); System.out.print("中序遍歷:"); BinaryTree.inorderTraversal(a); System.out.println(); System.out.print("后序遍歷:"); BinaryTree.postorderTraversal(a); System.out.println(); }
}
// 二叉樹 class BinaryTree { // 前序遍歷 static <T> void priorderTraversal(Node<T> node) { if (node != null) { visitNode(node); priorderTraversal(node.getLeftChild()); priorderTraversal(node.getRightChild()); } }
// 中序遍歷 static <T> void inorderTraversal(Node<T> node) { if (node != null) { inorderTraversal(node.getLeftChild()); visitNode(node); inorderTraversal(node.getRightChild()); } } // 后序遍歷 static <T> void postorderTraversal(Node<T> node) { if (node != null) { postorderTraversal(node.getLeftChild()); postorderTraversal(node.getRightChild()); visitNode(node); } } // 二叉樹深度 static <T> int getDepth(Node<T> node) { if (node == null) { return 0; } int leftDepth = 0; int rightDepth = 0; leftDepth = getDepth(node.getLeftChild()); rightDepth = getDepth(node.getRightChild()); return (leftDepth > rightDepth ? leftDepth : rightDepth) + 1; } // 訪問節點 static <T> void visitNode(Node<T> node) { System.out.print(node.getKey() + " "); }
}
// 節點 class Node<T> { private T key; private Node<T> leftChild; private Node<T> rightChild;
public Node() { } public Node(T key, Node<T> leftChild, Node<T> rightChild) { super(); this.key = key; this.leftChild = leftChild; this.rightChild = rightChild; } public T getKey() { return key; } public void setKey(T key) { this.key = key; } public Node<T> getLeftChild() { return leftChild; } public void setLeftChild(Node<T> leftChild) { this.leftChild = leftChild; } public Node<T> getRightChild() { return rightChild; } public void setRightChild(Node<T> rightChild) { this.rightChild = rightChild; }
}</pre>
輸出結果:生成的二叉樹: A | |---------| B C | | |---------| -----| D E F | ----| G 二叉樹深度:4 前序遍歷:A B D G E C F 中序遍歷:D G B E A C F 后序遍歷:G D E B F C A
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