108. Convert Sorted Array to Binary Search Tree

Easy

Given an array where elements are sorted in ascending order, convert it to a height balanced BST.

For this problem, a height-balanced binary tree is defined as a binary tree in which the depth of the two subtrees of every node never differ by more than 1.

Example:

Given the sorted array: [-10,-3,0,5,9],

One possible answer is: [0,-3,9,-10,null,5], which represents the following height balanced BST:

      0
/ \
-3 9
/ /
-10 5
package leetcode.easy;

/**
* Definition for a binary tree node. public class TreeNode { int val; TreeNode
* left; TreeNode right; TreeNode(int x) { val = x; } }
*/
public class ConvertSortedArrayToBinarySearchTree {
public TreeNode sortedArrayToBST(int[] nums) {
if (0 == nums.length) {
return null;
}
TreeNode root = new TreeNode(nums[nums.length / 2]);
root.left = sortedArrayToBST(java.util.Arrays.copyOfRange(nums, 0, nums.length / 2));
root.right = sortedArrayToBST(java.util.Arrays.copyOfRange(nums, nums.length / 2 + 1, nums.length));
return root;
} private static void transLevel(TreeNode root) {
java.util.LinkedList<TreeNode> queue = new java.util.LinkedList<>();
if (null == root) {
return;
} else {
System.out.print(root.val + " ");
queue.offer(root);
while (!queue.isEmpty()) {
root = queue.pop();
if (root.left != null) {
System.out.print(root.left.val + " ");
queue.offer(root.left);
}
if (root.right != null) {
System.out.print(root.right.val + " ");
queue.offer(root.right);
}
} // end of the while
} // end of the if
} @org.junit.Test
public void test() {
int[] nums = { -10, -3, 0, 5, 9 };
TreeNode root = sortedArrayToBST(nums);
transLevel(root);
}
}

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