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Solution: Maximum Product After K Increments

Explore how to maximize the product of an array by incrementing elements up to k times. Learn to use a min heap to balance values, increment smaller elements first, and achieve the highest product. Understand the algorithm's steps, time and space complexity, and apply modular arithmetic for large outputs.

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: ...