根据一棵树的中序遍历与后序遍历构造二叉树。
注意:
你可以假设树中没有重复的元素。
例如,给出
中序遍历 inorder = [9,3,15,20,7]
后序遍历 postorder = [9,15,7,20,3]
返回如下的二叉树:
3
/ \
9 20
/ \
15 7
代码
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
class Solution {
public TreeNode buildTree(int[] inorder, int[] postorder) {
if (inorder.length != postorder.length) {
return null;
}
return buildMyTree(inorder, 0, inorder.length-1, postorder, 0, postorder.length-1);
}
public TreeNode buildMyTree(int[] inorder,
int inStart,
int inEnd,
int[] postorder,
int postStart,
int postEnd) {
if (inStart > inEnd) {
return null;
}
if (postStart > postEnd) {
return null;
}
int value = postorder[postEnd];
int position = findPosition(inorder, inStart, inEnd, value);
if (position == -1) {
return null;
}
TreeNode root = new TreeNode(value);
root.left = buildMyTree(inorder, inStart, position-1, postorder, postStart, postStart+position-1-inStart);
root.right = buildMyTree(inorder, position+1, inEnd, postorder, postStart+position-inStart, postEnd-1);
return root;
}
public int findPosition(int[] inorder, int inStart, int inEnd, int key) {
for (int i = inStart; i <= inEnd; i++) {
if (inorder[i] == key) {
return i;
}
}
return -1;
}
}
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