{ "data": { "question": { "questionId": "1465", "questionFrontendId": "1339", "categoryTitle": "Algorithms", "boundTopicId": 81670, "title": "Maximum Product of Splitted Binary Tree", "titleSlug": "maximum-product-of-splitted-binary-tree", "content": "

Given the root of a binary tree, split the binary tree into two subtrees by removing one edge such that the product of the sums of the subtrees is maximized.

\n\n

Return the maximum product of the sums of the two subtrees. Since the answer may be too large, return it modulo 109 + 7.

\n\n

Note that you need to maximize the answer before taking the mod and not after taking it.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: root = [1,2,3,4,5,6]\nOutput: 110\nExplanation: Remove the red edge and get 2 binary trees with sum 11 and 10. Their product is 110 (11*10)\n
\n\n

Example 2:

\n\"\"\n
\nInput: root = [1,null,2,3,4,null,null,5,6]\nOutput: 90\nExplanation: Remove the red edge and get 2 binary trees with sum 15 and 6.Their product is 90 (15*6)\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "分裂二叉树的最大乘积", "translatedContent": "

给你一棵二叉树，它的根为 root 。请你删除 1 条边，使二叉树分裂成两棵子树，且它们子树和的乘积尽可能大。

\n\n

由于答案可能会很大，请你将结果对 10^9 + 7 取模后再返回。

\n\n

 

\n\n

示例 1：

\n\n

\"\"

\n\n
输入：root = [1,2,3,4,5,6]\n输出：110\n解释：删除红色的边，得到 2 棵子树，和分别为 11 和 10 。它们的乘积是 110 （11*10）\n
\n\n

示例 2：

\n\n

\"\"

\n\n
输入：root = [1,null,2,3,4,null,null,5,6]\n输出：90\n解释：移除红色的边，得到 2 棵子树，和分别是 15 和 6 。它们的乘积为 90 （15*6）\n
\n\n

示例 3：

\n\n
输入：root = [2,3,9,10,7,8,6,5,4,11,1]\n输出：1025\n
\n\n

示例 4：

\n\n
输入：root = [1,1]\n输出：1\n
\n\n

 

\n\n

提示：

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0 : val)\n * this.left = (left===undefined ? null : left)\n * this.right = (right===undefined ? null : right)\n * }\n */\n/**\n * @param {TreeNode} root\n * @return {number}\n */\nvar maxProduct = function(root) {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "/**\n * Definition for a binary tree node.\n * class TreeNode {\n * val: number\n * left: TreeNode | null\n * right: TreeNode | null\n * constructor(val?: number, left?: TreeNode | null, right?: TreeNode | null) {\n * this.val = (val===undefined ? 0 : val)\n * this.left = (left===undefined ? null : left)\n * this.right = (right===undefined ? null : right)\n * }\n * }\n */\n\nfunction maxProduct(root: TreeNode | null): number {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "/**\n * Definition for a binary tree node.\n * class TreeNode {\n * public $val = null;\n * public $left = null;\n * public $right = null;\n * function __construct($val = 0, $left = null, $right = null) {\n * $this->val = $val;\n * $this->left = $left;\n * $this->right = $right;\n * }\n * }\n */\nclass Solution {\n\n /**\n * @param TreeNode $root\n * @return Integer\n */\n function maxProduct($root) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "/**\n * Definition for a binary tree node.\n * public class TreeNode {\n * public var val: Int\n * public var left: TreeNode?\n * public var right: TreeNode?\n * public init() { self.val = 0; self.left = nil; self.right = nil; }\n * public init(_ val: Int) { self.val = val; self.left = nil; self.right = nil; }\n * public init(_ val: Int, _ left: TreeNode?, _ right: TreeNode?) {\n * self.val = val\n * self.left = left\n * self.right = right\n * }\n * }\n */\nclass Solution {\n func maxProduct(_ root: TreeNode?) -> Int {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "/**\n * Example:\n * var ti = TreeNode(5)\n * var v = ti.`val`\n * Definition for a binary tree node.\n * class TreeNode(var `val`: Int) {\n * var left: TreeNode? = null\n * var right: TreeNode? = null\n * }\n */\nclass Solution {\n fun maxProduct(root: TreeNode?): Int {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "/**\n * Definition for a binary tree node.\n * class TreeNode {\n * int val;\n * TreeNode? left;\n * TreeNode? right;\n * TreeNode([this.val = 0, this.left, this.right]);\n * }\n */\nclass Solution {\n int maxProduct(TreeNode? root) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "/**\n * Definition for a binary tree node.\n * type TreeNode struct {\n * Val int\n * Left *TreeNode\n * Right *TreeNode\n * }\n */\nfunc maxProduct(root *TreeNode) int {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# Definition for a binary tree node.\n# class TreeNode\n# attr_accessor :val, :left, :right\n# def initialize(val = 0, left = nil, right = nil)\n# @val = val\n# @left = left\n# @right = right\n# end\n# end\n# @param {TreeNode} root\n# @return {Integer}\ndef max_product(root)\n \nend", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "/**\n * Definition for a binary tree node.\n * class TreeNode(_value: Int = 0, _left: TreeNode = null, _right: TreeNode = null) {\n * var value: Int = _value\n * var left: TreeNode = _left\n * var right: TreeNode = _right\n * }\n */\nobject Solution {\n def maxProduct(root: TreeNode): Int = {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "// Definition for a binary tree node.\n// #[derive(Debug, PartialEq, Eq)]\n// pub struct TreeNode {\n// pub val: i32,\n// pub left: Option>>,\n// pub right: Option>>,\n// }\n// \n// impl TreeNode {\n// #[inline]\n// pub fn new(val: i32) -> Self {\n// TreeNode {\n// val,\n// left: None,\n// right: None\n// }\n// }\n// }\nuse std::rc::Rc;\nuse std::cell::RefCell;\nimpl Solution {\n pub fn max_product(root: Option>>) -> i32 {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "; Definition for a binary tree node.\n#|\n\n; val : integer?\n; left : (or/c tree-node? #f)\n; right : (or/c tree-node? #f)\n(struct tree-node\n (val left right) #:mutable #:transparent)\n\n; constructor\n(define (make-tree-node [val 0])\n (tree-node val #f #f))\n\n|#\n\n(define/contract (max-product root)\n (-> (or/c tree-node? #f) exact-integer?)\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "%% Definition for a binary tree node.\n%%\n%% -record(tree_node, {val = 0 :: integer(),\n%% left = null :: 'null' | #tree_node{},\n%% right = null :: 'null' | #tree_node{}}).\n\n-spec max_product(Root :: #tree_node{} | null) -> integer().\nmax_product(Root) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "# Definition for a binary tree node.\n#\n# defmodule TreeNode do\n# @type t :: %__MODULE__{\n# val: integer,\n# left: TreeNode.t() | nil,\n# right: TreeNode.t() | nil\n# }\n# defstruct val: 0, left: nil, right: nil\n# end\n\ndefmodule Solution do\n @spec max_product(root :: TreeNode.t | nil) :: integer\n def max_product(root) do\n \n end\nend", "__typename": "CodeSnippetNode" }, { "lang": "Cangjie", "langSlug": "cangjie", "code": "/**\n * Definition for a binary tree node.\n * public class BinaryTreeNode {\n * public var val: Int64\n * public var left: ?BinaryTreeNode\n * public var right: ?BinaryTreeNode\n * public init() {\n * val = 0\n * left = None\n * right = None\n * }\n * public init(val: Int64) {\n * this()\n * this.val = val\n * }\n * }\n */\n\nclass Solution {\n func maxProduct(root: ?BinaryTreeNode): Int64 {\n\n }\n}", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"16.7K\", \"totalSubmission\": \"39.1K\", \"totalAcceptedRaw\": 16741, \"totalSubmissionRaw\": 39148, \"acRate\": \"42.8%\"}", "hints": [ "If we know the sum of a subtree, the answer is max( (total_sum - subtree_sum) * subtree_sum) in each node." ], "solution": null, "status": null, "sampleTestCase": "[1,2,3,4,5,6]", "metaData": "{\n \"name\": \"maxProduct\",\n \"params\": [\n {\n \"name\": \"root\",\n \"type\": \"TreeNode\"\n }\n ],\n \"return\": {\n \"type\": \"integer\"\n }\n}", "judgerAvailable": true, "judgeType": "large", "mysqlSchemas": [], "enableRunCode": true, "envInfo": "{\"cpp\":[\"C++\",\"

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