Algorithm


Problem Name: 938. Range Sum of BST

Given the root node of a binary search tree and two integers low and high, return the sum of values of all nodes with a value in the inclusive range [low, high].

 

Example 1:

Input: root = [10,5,15,3,7,null,18], low = 7, high = 15
Output: 32
Explanation: Nodes 7, 10, and 15 are in the range [7, 15]. 7 + 10 + 15 = 32.

Example 2:

Input: root = [10,5,15,3,7,13,18,1,null,6], low = 6, high = 10
Output: 23
Explanation: Nodes 6, 7, and 10 are in the range [6, 10]. 6 + 7 + 10 = 23.

 

Constraints:

  • The number of nodes in the tree is in the range [1, 2 * 104].
  • 1 <= Node.val <= 105
  • 1 <= low <= high <= 105
  • All Node.val are unique.
 

Code Examples

#1 Code Example with C++ Programming

Code - C++ Programming


class Solution {
public:
    int rangeSumBST(TreeNode* root, int L, int R) {
        return !root ? 0 : 
               root->val < L ? rangeSumBST(root->right, L, R) : 
               root->val > R ? rangeSumBST(root->left, L, R) : root->val + rangeSumBST(root->right, L, R) + rangeSumBST(root->left, L, R);
    }
};
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Input

x
+
cmd
root = [10,5,15,3,7,null,18], low = 7, high = 15

Output

x
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32

#2 Code Example with Java Programming

Code - Java Programming


class Solution {
    public int rangeSumBST(TreeNode root, int low, int high) {
        int sum = 0;
        Queue < TreeNode> queue = new LinkedList<>();
        queue.add(root);
        while (!queue.isEmpty()) {
            TreeNode removed = queue.remove();
            if (removed.val >= low && removed.val  < = high) {
                sum += removed.val;
            }
            if (removed.val >= low && removed.left != null) {
                queue.add(removed.left);
            }
            if (removed.val  < = high && removed.right != null) {
                queue.add(removed.right);
            }
        }
        return sum;
    }
}
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Input

x
+
cmd
root = [10,5,15,3,7,null,18], low = 7, high = 15

Output

x
+
cmd
32

#3 Code Example with Javascript Programming

Code - Javascript Programming


const rangeSumBST = function(root, L, R) {
  const payload = {sum: 0}  
  traverse(root, payload, L, R)
  return payload.sum
};

function traverse(node, obj, L, R) {
  if(node == null) return
  if(node.val >= L && node.val <= R) obj.sum += node.val
  traverse(node.left, obj, L, R)
  traverse(node.right, obj, L, R>
}
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Input

x
+
cmd
root = [10,5,15,3,7,13,18,1,null,6], low = 6, high = 10

Output

x
+
cmd
23

#4 Code Example with Python Programming

Code - Python Programming


class Solution:
    def rangeSumBST(self, root, L, R):
        if not root: return 0
        l = self.rangeSumBST(root.left, L, R)
        r = self.rangeSumBST(root.right, L, R)
        return l + r + (L <= root.val <= R) * root.val
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Input

x
+
cmd
root = [10,5,15,3,7,13,18,1,null,6], low = 6, high = 10

Output

x
+
cmd
23

#5 Code Example with C# Programming

Code - C# Programming


namespace LeetCode
{
    public class _0938_RangeSumOfBST
    {
        public int RangeSumBST(TreeNode root, int L, int R)
        {
            if (root == null)
                return 0;
            else if (root.val  <  L)
                return RangeSumBST(root.right, L, R);
            else if (root.val > R)
                return RangeSumBST(root.left, L, R);
            else
                return root.val + RangeSumBST(root.left, L, R) + RangeSumBST(root.right, L, R);
        }
    }
}
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Input

x
+
cmd
root = [10,5,15,3,7,null,18], low = 7, high = 15

Output

x
+
cmd
32
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