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Sum of All Nodes in BST

Given a binary search tree (BST), write a program that calculates the sum of all the nodes present in the BST. Implement the following functions: 1. `insert(root: Optional[Node], value: int) -> Node`: Insert a value into the BST. 2. `sum_of_nodes(root: Optional[Node]) -> int`: Return the sum of all node values in the BST. Input format: - The first line contains an integer N (1 <= N <= 100) - the number of elements in the BST. - The next N lines each contain one integer, the value to be inserted into the BST. Output format: - Output a single integer representing the sum of all nodes in the BST. Example: Input: 4 5 3 8 9 Output: 25

Key concepts

binary_search_treesumtraversal

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