Problem
Given a binary search tree with non-negative values, find the minimum absolute difference between values of any two nodes.
Example:
Input:
1
\
3
/
2
Output:
1
Explanation:
The minimum absolute difference is 1, which is the difference between 2 and 1 (or between 2 and 3).
Note: There are at least two nodes in this BST.
Solution
Iterative -- using stack
class Solution {
public int getMinimumDifference(TreeNode root) {
int min = Integer.MAX_VALUE;
if (root == null) return min;
Deque<TreeNode> stack = new ArrayDeque<>();
TreeNode pre = null;
while (!stack.isEmpty() || root != null) {
while (root != null) {
stack.push(root);
root = root.left;
}
TreeNode cur = stack.pop();
if (pre != null) {
min = Math.min(min, cur.val-pre.val);
}
pre = cur;
root = cur.right;
}
return min;
}
}
recursive -- in-order
class Solution {
Integer pre = null;
int min = Integer.MAX_VALUE;
public int getMinimumDifference(TreeNode root) {
if (root == null) return min;
getMinimumDifference(root.left);
if (pre != null) {
min = Math.min(min, root.val-pre);
}
pre = root.val;
getMinimumDifference(root.right);
return min;
}
}
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