重建二叉树
输入某二叉树的前序遍历和中序遍历的结果,请重建出该二叉树。假设输入的前序遍历和中序遍历的结果中都不含重复的数字。例如输入前序遍历序列{1,2,4,7,3,5,6,8}和中序遍历序列{4,7,2,1,5,3,8,6},则重建二叉树并返回。
思路:因为利用前序和后序来重建二叉树,前序是先根节点,后左子树,再右子树,中序是先左子树,后根节点,再右子树,所以前序的第一个一定是根节点,从中序里面找到根节点,左边的就是左子树,右边的就是右子树,不断地把数组切成一个个小的数组,直到为空。我的 思路是通过递归来实现
class TreeNode { int val; TreeNode left; TreeNode right; TreeNode(int x) { val = x; } } public class Solution1 { TreeNode t; public TreeNode reConstructBinaryTree(int[] pre, int[] in) { if(pre.length == 0||in.length == 0){ return null; } t = new TreeNode(pre[0]); for (int i = 0; i < in.length; i++) { if (in[i] == pre[0]) { t.left = reConstructBinaryTree( Arrays.copyOfRange(pre, 1, i + 1), Arrays.copyOfRange(in, 0, i)); t.right = reConstructBinaryTree( Arrays.copyOfRange(pre, i + 1, pre.length), Arrays.copyOfRange(in, i + 1, in.length)); } } return t; }
但是我写的好像太占用空间,下面是借鉴了别人的写法
import java.util.Arrays; class TreeNode { int val; TreeNode left; TreeNode right; TreeNode(int x) { val = x; } } public class Solution1 { public TreeNode reConstructBinaryTree(int[] pre, int[] in) { return reConstructBinaryTree(pre, 0, pre.length - 1, in, 0, in.length - 1); } private TreeNode reConstructBinaryTree(int[] pre, int startPre, int endPre, int[] in, int startIn, int endIn) { if (startPre > endPre || startIn > endIn) return null; TreeNode root = new TreeNode(pre[startPre]); for (int i = startIn; i <= endIn; i++) { if (in[i] == pre[startPre]) { root.left = reConstructBinaryTree(pre, startPre + 1, startPre + i - startIn, in, startIn, i - 1); root.right = reConstructBinaryTree(pre, i - startIn + startPre + 1, endPre, in, i + 1, endIn); } } return root; } public static void main(String[] args) { int[] pre = { 1, 2, 4, 7, 3, 5, 6, 8 }; int[] in = { 4, 7, 2, 1, 5, 3, 8, 6 }; Solution1 s = new Solution1(); s.reConstructBinaryTree(pre, in); } }