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# 1339. Maximum Product of Splitted Binary Tree

<https://leetcode.com/problems/maximum-product-of-splitted-binary-tree>

## Description

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.

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

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

**Example 1:**

![](https://assets.leetcode.com/uploads/2020/01/21/sample_1_1699.png)

```
**Input:** root = [1,2,3,4,5,6]
**Output:** 110
**Explanation:** Remove the red edge and get 2 binary trees with sum 11 and 10. Their product is 110 (11*10)
```

**Example 2:**

![](https://assets.leetcode.com/uploads/2020/01/21/sample_2_1699.png)

```
**Input:** root = [1,null,2,3,4,null,null,5,6]
**Output:** 90
**Explanation:** Remove the red edge and get 2 binary trees with sum 15 and 6.Their product is 90 (15*6)
```

**Example 3:**

```
**Input:** root = [2,3,9,10,7,8,6,5,4,11,1]
**Output:** 1025
```

**Example 4:**

```
**Input:** root = [1,1]
**Output:** 1
```

**Constraints:**

* The number of nodes in the tree is in the range `[2, 5 * 104]`.
* `1 <= Node.val <= 104`

## ac

```java
```