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Grokking the Coding Interview Patterns in C++

Solution: Maximum Product After K Increments

Understand how to maximize the product of an array's elements by distributing k increments optimally. This lesson teaches using a min heap to always increment the smallest element, balancing values and enhancing the product. You will learn to implement this approach efficiently and handle large results with modulo operation, gaining skills to solve related top k element problems.

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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: ...