Given an array where elements are sorted in ascending order, convert it to a height balanced BST.
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
class Solution {
private TreeNode helper(int start, int end, int[] nums) {
if (start > end) {
return null;
}
int mid = start + (end - start) / 2;
TreeNode node = new TreeNode(nums[mid]);
node.left = helper(start, mid - 1, nums);
node.right = helper(mid + 1, end, nums);
return node;
}
public TreeNode sortedArrayToBST(int[] nums) {
if (nums == null || nums.length == 0) {
return null;
}
return helper(0, nums.length - 1, nums);
}
}
用另一个 stack记录每个节点对应的range, 并且让结点先创建出来给left和right再修改值. 这样就不用费心去找left和right到底在哪了。
/**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
TreeNode* sortedArrayToBST(vector<int>& nums) {
const int N = nums.size();
if (N == 0) return NULL;
stack<TreeNode*> s;
stack<pair<int, int>> ranges;
const auto root = new TreeNode(nums[(N - 1) / 2]);
s.push(root);
ranges.push({0, N - 1});
while (!s.empty()) {
auto cur = s.top();
const auto range = ranges.top();
s.pop();
ranges.pop();
const int c_mid = range.first + (range.second - range.first) / 2;
cur->val = nums[c_mid];
if (range.first != c_mid) {
ranges.push({range.first, c_mid - 1});
const auto l = new TreeNode(-1);
cur->left = l;
s.push(l);
}
if (range.second != c_mid) {
ranges.push({c_mid + 1, range.second});
const auto r = new TreeNode(-1);
cur->right = r;
s.push(r);
}
}
return root;
}
};