import Optional from './Optional';
declare class TreeNode<T> {
    value: T;
    left?: TreeNode<T>;
    right?: TreeNode<T>;
    constructor(value: T);
}
/**
 * Represents a binary search tree.
 * @template T - The type of elements stored in the tree.
 */
export default class Tree<T> {
    private readonly compare;
    root?: TreeNode<T>;
    /**
     * Creates a new Tree instance.
     * @param {T} value - The value of the root node.
     * @param {(a: T, b: T) => number} compareFunction - The function used to compare elements.
     */
    constructor(value: T, compareFunction: (a: T, b: T) => number);
    /**
     * Creates a new tree node with the given value.
     * @param {T} value - The value of the node.
     * @returns {TreeNode<T>} - The created tree node.
     */
    private createNode;
    /**
     * Inserts a new value into the tree.
     * @param {T} value - The value to insert.
     */
    insert: (value: T) => void;
    /**
     * Recursively inserts a value into the tree.
     * @param {TreeNode<T> | undefined} root - The root node of the subtree.
     * @param {T} value - The value to insert.
     * @returns {TreeNode<T>} - The updated root of the subtree.
     */
    private insertNode;
    /**
     * Searches for a value in the tree.
     * @param {T} value - The value to search for.
     * @returns {Optional<TreeNode<T>>} - An Optional containing the found node or undefined.
     */
    search: (value: T) => Optional<TreeNode<T>>;
    /**
     * Recursively searches for a value in the tree.
     * @param {TreeNode<T> | undefined} root - The root node of the subtree.
     * @param {T} value - The value to search for.
     * @returns {TreeNode<T> | undefined} - The found node or undefined.
     */
    private searchNode;
    /**
     * Performs an in-order traversal of the tree, applying the callback to each node's value.
     * @param {(value: T) => void} callback - The callback function to apply to each node's value.
     */
    inOrderTraversal: (callback: (value: T) => void) => void;
    /**
     * Recursively performs an in-order traversal of the tree.
     * @param {TreeNode<T> | undefined} root - The root node of the subtree.
     * @param {(value: T) => void} callback - The callback function to apply to each node's value.
     */
    private inOrderTraversalNode;
    /**
     * Performs a pre-order traversal of the tree, applying the callback to each node's value.
     * @param {(value: T) => void} callback - The callback function to apply to each node's value.
     */
    preOrderTraversal: (callback: (value: T) => void) => void;
    /**
     * Recursively performs a pre-order traversal of the tree.
     * @param {TreeNode<T> | undefined} root - The root node of the subtree.
     * @param {(value: T) => void} callback - The callback function to apply to each node's value.
     */
    private preOrderTraversalNode;
    /**
     * Performs a post-order traversal of the tree, applying the callback to each node's value.
     * @param {(value: T) => void} callback - The callback function to apply to each node's value.
     */
    postOrderTraversal: (callback: (value: T) => void) => void;
    /**
     * Recursively performs a post-order traversal of the tree.
     * @param {TreeNode<T> | undefined} root - The root node of the subtree.
     * @param {(value: T) => void} callback - The callback function to apply to each node's value.
     */
    private postOrderTraversalNode;
    /**
     * Finds the minimum value in the tree.
     * @returns {Optional<TreeNode<T>>} - An Optional containing the node with the minimum value or undefined.
     */
    findMin: () => Optional<TreeNode<T>>;
    /**
     * Finds the maximum value in the tree.
     * @returns {Optional<TreeNode<T>>} - An Optional containing the node with the maximum value or undefined.
     */
    findMax: () => Optional<TreeNode<T>>;
    /**
     * Removes a value from the tree if it exists.
     * @param {T} value - The value to remove.
     */
    remove: (value: T) => void;
    /**
     * Recursively removes a node from the tree.
     * @param {TreeNode<T> | undefined} root - The root node of the subtree.
     * @param {T} value - The value to remove.
     * @returns {TreeNode<T> | undefined} - The updated subtree root.
     */
    private removeNode;
    /**
     * Gets the node with the minimum value in the subtree.
     * @param {TreeNode<T>} root - The root node of the subtree.
     * @returns {TreeNode<T> | undefined} - The node with the minimum value.
     */
    private getMinNode;
}
export {};