938. Range Sum of BST

2019/10/30 Leetcode

938. Range Sum of BST

Tags: ‘Tree’, ‘Recursion’

Given the root node of a binary search tree, return the sum of values of all nodes with value between L and R (inclusive).

The binary search tree is guaranteed to have unique values.

 

Example 1:

Input: root = [10,5,15,3,7,null,18], L = 7, R = 15
Output: 32

Example 2:

Input: root = [10,5,15,3,7,13,18,1,null,6], L = 6, R = 10
Output: 23

 

Note:

  1. The number of nodes in the tree is at most 10000.
  2. The final answer is guaranteed to be less than 2^31.

Solution

//Recursive
public int rangeSumBST(TreeNode root, int L, int R) {
    if (root == null) return 0;
    int sum = 0;
    if (root.val >= L && root.val <= R) {
        sum += root.val; //preorder
    }
    if (root.val > L) {
        sum += rangeSumBST(root.left, L, R);   
    }
    if (root.val < R) {
        sum += rangeSumBST(root.right, L, R);
    }
    return sum;
}

// Iterative
public int rangeSumBST(TreeNode root, int L, int R) {
    if (root == null) return 0;
    
    int sum = 0;
    Stack<TreeNode> stack = new Stack<>();
    stack.push(root);
    
    while (!stack.isEmpty()) {
        TreeNode node = stack.pop();
        if (node == null) continue;
        if (node.val >= L && node.val <= R) {
            sum += node.val;
        }
        if (node.val > L) {
            // left is possible
            stack.push(node.left);
        }
        if (node.val < R) {
            // right is possible
            stack.push(node.right);
        }
    }
    return sum;
}

Search

    Table of Contents