Given two integer arrays inorder and postorder where inorder is the inorder traversal of a binary tree and postorder is the postorder traversal of the same tree, construct and return the binary tree.
Example 1:
Input: inorder = [9,3,15,20,7], postorder = [9,15,7,20,3] Output: [3,9,20,null,null,15,7] Example 2:
Input: inorder = [-1], postorder = [-1] Output: [-1]
class Solution {
public TreeNode buildTree(int[] inorder, int[] postorder) {
HashMap<Integer, Integer> map = new HashMap<>();
for (int i = 0; i < inorder.length; i++){
map.put(inorder[i], i);
}
return helper(inorder, postorder, 0, inorder.length - 1, 0, postorder.length - 1, map);
}
private TreeNode helper(int[] inorder,
int[] postorder,
int inStart,
int inEnd,
int postStart,
int postEnd,
HashMap<Integer, Integer> map){
if(inStart > inEnd || postStart < 0) return null;
TreeNode root = new TreeNode(postorder[postEnd]);
int rootIndex = map.get(postorder[postEnd]);
root.left = helper(inorder, postorder, inStart, rootIndex - 1, postStart, postStart + rootIndex - inStart - 1, map);
root.right = helper(inorder, postorder, rootIndex + 1, inEnd, postStart + rootIndex - inStart, postEnd - 1, map);
return root;
}
}
Time: O(n) Space: O(n)