IPO — LeetCode 502 Python Solution

HardGreedyArraySortingHeap (Priority Queue)
Problem
#502
Reading time
3 min

The problem

Suppose LeetCode will start its IPO soon. In order to sell a good price of its shares to Venture Capital, LeetCode would like to work on some projects to increase its capital before the IPO.

Example

Input
k = 2, w = 0, profits = [1,2,3], capital = [0,1,1]
Output
4
Explanation
Since your initial capital is 0, you can only start the project indexed 0.

Python solution

Python
class Solution:
    def findMaximizedCapital(
        self, k: int, w: int, profits: List[int], capital: List[int]
    ) -> int:
        h1 = [(c, p) for c, p in zip(capital, profits)]
        heapify(h1)
        h2 = []
        while k:
            while h1 and h1[0][0] <= w:
                heappush(h2, -heappop(h1)[1])
            if not h2:
                break
            w -= heappop(h2)
            k -= 1
        return w

Complexity

MeasureComplexity
TimeO(n log n)
SpaceO(1) to O(n) auxiliary

Pattern: Heap / Priority Queue

Keep only the best k elements, or always pull the smallest, in log time. LeetCode 502. IPO 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

On a study list

This problem is on Top Interview 150.

Frequently asked questions

How hard is LeetCode 502. IPO?
LeetCode 502. IPO is rated Hard on LeetCode.
What topics does LeetCode 502. IPO cover?
LeetCode 502. IPO is tagged Greedy, Array, Sorting and Heap (Priority Queue) on LeetCode.

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