How to Solve Maximum Subarray Min- Product Leetcode Problem - Interview Coder Guide
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How to Solve Maximum Subarray Min- Product Problem

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Medium#1985
LeetCode Problem

Maximum Subarray Min-Product

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...

ArrayStackMonotonic Stack+1 more

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Problem Breakdown

Understanding the Maximum Subarray Min- Product Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

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.

MediumProblem #1985
LeetCode

Maximum Subarray Min-Product

Related Topics
ArrayStackMonotonic StackPrefix Sum
How Interview Coder Helps

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Examples

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

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