Balanced Search Tree Write a program (in Java) that can convert a sorted array i

Question

Balanced Search Tree Write a program (in Java) that can convert a sorted array into a balanced binary search tree. For this project, a balanced binary tree is one where the size of the left and right subtrees at each node differs by at most one. Your program should have a graphical user interface. The program allows the user to enter a number n, generates an array of n random integers, sorts the array, and then converts the sorted array into a balanced binary search tree. The program should display a graphical representation of the binary search tree. Show all the leaf nodes; Show all the nodes in PreOrder, InOrder and PostOrder traversals.

Explanation / Answer

BinaryTree* sortedArrayToBST(int arr[], int start, int end) { if (start > end) return NULL; // same as (start+end)/2, avoids overflow. int mid = start + (end - start) / 2; BinaryTree *node = new BinaryTree(arr[mid]); node->left = sortedArrayToBST(arr, start, mid-1); node->right = sortedArrayToBST(arr, mid+1, end); return node; } BinaryTree* sortedArrayToBST(int arr[], int n) { return sortedArrayToBST(arr, 0, n-1); }

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