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Solution: Maximum Product After K Increments

Explore how to maximize the product of an array's elements by applying up to k increments strategically. Understand the importance of balancing numbers using a min heap to ensure the product is as large as possible. This lesson guides you through the logic, implementation steps, and complexity analysis to help you solve similar interview problems efficiently.

Statement

You are given an array, nums, consisting of non-negative integers, and an integer k representing the maximum number of allowed operations.

In each operation, you may select any element in nums and increment it by 11. You can perform, at most, k such operations.

Your task is to maximize the product of all elements in the array after performing up to k operations. As the resulting product can be very large, return the product modulo 109+710^9+7.

Note: Ensure that the product is maximized before applying the modulo operation.

Constraints: ...