You are given an array of non-negative integers nums and an integer k. In one operation, you may choose any element from nums and increment it by 1.
Return the maximum product of nums after at most k operations. Since the answer may be very large, return it modulo 109 + 7. Note that you should maximize the product before taking the modulo.
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Example 1:
\n\n\nInput: nums = [0,4], k = 5\nOutput: 20\nExplanation: Increment the first number 5 times.\nNow nums = [5, 4], with a product of 5 * 4 = 20.\nIt can be shown that 20 is maximum product possible, so we return 20.\nNote that there may be other ways to increment nums to have the maximum product.\n\n\n
Example 2:
\n\n\nInput: nums = [6,3,3,2], k = 2\nOutput: 216\nExplanation: Increment the second number 1 time and increment the fourth number 1 time.\nNow nums = [6, 4, 3, 3], with a product of 6 * 4 * 3 * 3 = 216.\nIt can be shown that 216 is maximum product possible, so we return 216.\nNote that there may be other ways to increment nums to have the maximum product.\n\n\n
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Constraints:
\n\n1 <= nums.length, k <= 1050 <= nums[i] <= 106Compiled with clang 11 using the latest C++ 20 standard.
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Most standard library headers are already included automatically for your convenience.
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