Maximum Product After K Increments — LeetCode 2233 Python Solution

MediumGreedyArrayHeap (Priority Queue)
Problem
#2233
Reading time
2 min

The problem

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.

Example

Input
nums = [0,4], k = 5
Output
20
Explanation
Increment the first number 5 times.

Python solution

Python
class Solution:
    def maximumProduct(self, nums: List[int], k: int) -> int:
        heapify(nums)
        for _ in range(k):
            heapreplace(nums, nums[0] + 1)
        mod = 10**9 + 7
        return reduce(lambda x, y: x * y % mod, nums)

Complexity

MeasureComplexity
TimeO(k \times \log n)
SpaceO(n) auxiliary

Pattern: Heap / Priority Queue

Keep only the best k elements, or always pull the smallest, in log time. LeetCode 2233. Maximum Product After K Increments is filed here because LeetCode tags it Heap (Priority Queue), which is the vocabulary this hub collects.

The heap / priority queue guide has the Python template for the pattern and the 163 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 2233. Maximum Product After K Increments?
LeetCode 2233. Maximum Product After K Increments is rated Medium on LeetCode.
What is the time complexity of LeetCode 2233. Maximum Product After K Increments?
The Python solution on this page runs in O(k \times \log n).
What is the space complexity of LeetCode 2233. Maximum Product After K Increments?
The Python solution on this page uses O(n) auxiliary space.
What topics does LeetCode 2233. Maximum Product After K Increments cover?
LeetCode 2233. Maximum Product After K Increments is tagged Greedy, Array and Heap (Priority Queue) on LeetCode.

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