/*
* 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。
*/
public class Main7 {
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};
TreeNode reConstructBinaryTree = reConstructBinaryTree(pre, in);
}
public static TreeNode reConstructBinaryTree(int [] pre,int [] in) {
TreeNode root = reConstructBinaryTree(pre, 0, pre.length-1, in, 0, in.length-1);
return root;
}
public static TreeNode reConstructBinaryTree(int [] pre, int preStart, int preEnd, int [] in, int inStart, int inEnd) {
if(preStart>preEnd||inStart>inEnd){
return null;
}
//新建一个TreeNode
TreeNode root = new TreeNode(pre[preStart]);
//对中序数组进行输入边界的遍历
for(int i=inStart; i<=inEnd; i++){
if(in[i]==pre[preStart]){
//重构左子树,注意边界条件
root.left = reConstructBinaryTree(pre, preStart+1, preStart+i-inStart, in, inStart, i-1);
//重构右子树,注意边界条件
root.right = reConstructBinaryTree(pre, i-inStart+preStart+1, preEnd, in, i+1, inEnd);
}
}
return root;
}
}
class TreeNode {
int val;
TreeNode left;
TreeNode right;
TreeNode(int x) { val = x; }
}