Construct Binary Tree from Preorder and Inorder Traversal
Given preorder and inorder traversal of a tree, construct the binary tree.
Note:
You may assume that duplicates do not exist in the tree.
Solution
Recursion.
Complexity
时间复杂度 O(n),空间复杂度 O(n)
Code
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
public class Solution {
public TreeNode buildTree(int[] preorder, int[] inorder) {
if(inorder.length == 0 || preorder.length == 0 || inorder.length != preorder.length) return null;
return buildTreeRe(preorder, 0, inorder, 0, preorder.length);
}
public TreeNode buildTreeRe(int[] preorder, int s1, int[] inorder, int s2, int size) {
if (size <= 0 ) return null;
TreeNode node = new TreeNode(preorder[s1]);
if (size == 1) return node;
int pos = s2;
while (pos <= (s2 + size - 1)) {
if (inorder[pos] == preorder[s1]) break;
++pos;
}
int leftlen = pos - s2;
node.left = buildTreeRe(preorder, s1 + 1, inorder, s2, leftlen);
node.right = buildTreeRe(preorder, s1 + leftlen + 1, inorder, pos + 1, size - leftlen - 1);
return node;
}
}