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# 1856. Maximum Subarray Min-Product

<https://leetcode.com/problems/maximum-subarray-min-product>

## Description

The **min-product** of an array is equal to the **minimum value** in the array **multiplied by** the array's **sum**.

* For example, the array `[3,2,5]` (minimum value is `2`) has a min-product of `2 * (3+2+5) = 2 * 10 = 20`.

Given an array of integers `nums`, return *the **maximum min-product** of any **non-empty subarray** of* `nums`. Since the answer may be large, return it **modulo** `109 + 7`.

Note that the min-product should be maximized **before** performing the modulo operation. Testcases are generated such that the maximum min-product **without** modulo will fit in a **64-bit signed integer**.

A **subarray** is a **contiguous** part of an array.

**Example 1:**

```
**Input:** nums = [1,2,3,2]
**Output:** 14
**Explanation:** The maximum min-product is achieved with the subarray [2,3,2] (minimum value is 2).
2 * (2+3+2) = 2 * 7 = 14.
```

**Example 2:**

```
**Input:** nums = [2,3,3,1,2]
**Output:** 18
**Explanation:** The maximum min-product is achieved with the subarray [3,3] (minimum value is 3).
3 * (3+3) = 3 * 6 = 18.
```

**Example 3:**

```
**Input:** nums = [3,1,5,6,4,2]
**Output:** 60
**Explanation:** The maximum min-product is achieved with the subarray [5,6,4] (minimum value is 4).
4 * (5+6+4) = 4 * 15 = 60.
```

**Constraints:**

* `1 <= nums.length <= 105`
* `1 <= nums[i] <= 107`

## ac

```java
```