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Grokking the Coding Interview Patterns in C++

Solution: Maximum Product After K Increments

Explore how to maximize the product of elements in an array after performing up to k increments. This lesson teaches you to balance numbers by incrementing the smallest elements first using a min heap, ensuring efficient distribution of increments for the highest product. You will understand the algorithm's time and space complexity and learn to apply modulo operations to handle large results.

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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: ...