根据数组构建二叉树,并深度、广度优先遍历二叉树:
import java.util.ArrayDeque;
public class BinaryTree {
static class TreeNode {
int value;
TreeNode left;
TreeNode right;
public TreeNode(int value) {
this.value = value;
}
}
TreeNode root;
public BinaryTree(int[] array) {
root = makeBinaryTreeByArray(array, 1);
}
/** * 采用递归的方式创建一颗二叉树 * 传入的是二叉树的数组表示法 * 构造后是二叉树的二叉链表表示法 */
public static TreeNode makeBinaryTreeByArray(int[] array, int index) {
if (index < array.length) {
int value = array[index];
if (value != 0) {
TreeNode t = new TreeNode(value);
array[index] = 0;
t.left = makeBinaryTreeByArray(array, index * 2);
t.right = makeBinaryTreeByArray(array, index * 2 + 1);
return t;
}
}
return null;
}
/** * 深度优先遍历,相当于先根遍历 * 采用非递归实现 * 需要辅助数据结构:栈 */
public void depthOrderTraversal() {
if (root == null) {
System.out.println("empty tree");
return;
}
ArrayDeque<TreeNode> stack = new ArrayDeque<TreeNode>();
stack.push(root);
while (stack.isEmpty() == false) {
TreeNode node = stack.pop();
System.out.print(node.value + " ");
if (node.right != null) {
stack.push(node.right);
}
if (node.left != null) {
stack.push(node.left);
}
}
System.out.print("\n");
}
/** * 广度优先遍历 * 采用非递归实现 * 需要辅助数据结构:队列 */
public void levelOrderTraversal() {
if (root == null) {
System.out.println("empty tree");
return;
}
ArrayDeque<TreeNode> queue = new ArrayDeque<TreeNode>();
queue.add(root);
while (queue.isEmpty() == false) {
TreeNode node = queue.remove();
System.out.print(node.value + " ");
if (node.left != null) {
queue.add(node.left);
}
if (node.right != null) {
queue.add(node.right);
}
}
System.out.print("\n");
}
/** * 13 * / \ * 65 5 * / \ \ * 97 25 37 * / /\ / * 22 4 28 32 */
public static void main(String[] args) {
int[] arr = { 0, 13, 65, 5, 97, 25, 0, 37, 22, 0, 4, 28, 0, 0, 32, 0 };
BinaryTree tree = new BinaryTree(arr);
tree.depthOrderTraversal(); // 深度遍历
tree.levelOrderTraversal(); // 广度遍历
}
}