Construct Maximum Binary Tree

本文介绍了一种构建最大二叉树的方法,通过递归寻找数组中的最大值作为根节点,并以此划分左右子树,最终构建出一棵符合要求的最大二叉树。

构建一颗「最大树」。 注意consruct的时候最后的return root; 我参考了serialize and deserialize binary tree的build tree 的过程。

这周contest的第二题,一次AC了还挺开心的,而且用的时间不长。我发现当你没思路的时候或是思维陷入死循环jiang化的时候时间过得特别快,有思路就不一样。

	public TreeNode constructMaximumBinaryTree(int[] nums) {
		return construct(nums, 0, nums.length - 1);
	}

	private TreeNode construct(int[] nums, int i, int j) {
		if (i > j) return null;
		int[] arr = findMax(nums, i, j);
		TreeNode root = new TreeNode(arr[0]);
		root.left = construct(nums, i, arr[1] - 1);
		root.right = construct(nums, arr[1] + 1, j);
		return root;
	}

	private int[] findMax(int[] nums, int i, int j) {
		int[] res = new int[2];
		res[0] = Integer.MIN_VALUE;
		for (int k = i; k <= j; k++) {
			if (nums[k] > res[0]) {
				res[0] = nums[k];
				res[1] = k;
			}
		}
		return res;
	}
复制代码

转载于:https://juejin.im/post/5a3132fe518825296421b111

To convert the given array to a complete BST, we need to perform the following steps: 1. Sort the array in ascending order 2. Construct a complete binary tree using the sorted array 3. Perform inorder traversal of the binary tree and store the elements in the original array in the same order as the traversal Here's the implementation of the to_bst(lst) function in Python: ```python def to_bst(lst): # Sort the input list lst.sort() # Construct a complete binary tree using the sorted list n = len(lst) if n == 0: return lst root = lst[n // 2] left_subtree = to_bst(lst[:n // 2]) right_subtree = to_bst(lst[n // 2 + 1:]) binary_tree = [root] + left_subtree + right_subtree # Perform inorder traversal of the binary tree and store the elements in the original array inorder_traversal(binary_tree, lst, 0) return lst def inorder_traversal(binary_tree, lst, i): # Perform inorder traversal of the binary tree and store the elements in the original array n = len(binary_tree) if i >= n: return inorder_traversal(binary_tree, lst, 2 * i + 1) lst[i] = binary_tree[i] inorder_traversal(binary_tree, lst, 2 * i + 2) ``` The to_bst(lst) function takes in the input list and returns the same list after converting it to a complete BST. The function first sorts the input list in ascending order. It then constructs a complete binary tree using the sorted list by recursively dividing the list into two halves and setting the middle element as the root of the binary tree. Finally, the function performs an inorder traversal of the binary tree and stores the elements in the original list in the same order as the traversal.
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