Find Score of an Array After Marking All Elements — LeetCode 2593 Python Solution

MediumArrayHash TableSortingSimulationHeap (Priority Queue)
Problem
#2593
Reading time
3 min

The problem

You are given an array nums consisting of positive integers. Starting with score = 0, apply the following algorithm: Choose the smallest integer of the array that is not marked.

Example

Input
nums = [2,1,3,4,5,2]
Output
7
Explanation
We mark the elements as follows:

Python solution

Python
class Solution:
    def findScore(self, nums: List[int]) -> int:
        n = len(nums)
        vis = [False] * n
        q = [(x, i) for i, x in enumerate(nums)]
        heapify(q)
        ans = 0
        while q:
            x, i = heappop(q)
            ans += x
            vis[i] = True
            for j in (i - 1, i + 1):
                if 0 <= j < n:
                    vis[j] = True
            while q and vis[q[0][1]]:
                heappop(q)
        return ans

Complexity

MeasureComplexity
TimeO(n \times \log n)
SpaceO(n), where n is the length of the array auxiliary

Pattern: Heap / Priority Queue

Keep only the best k elements, or always pull the smallest, in log time. LeetCode 2593. Find Score of an Array After Marking All Elements 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 2593. Find Score of an Array After Marking All Elements?
LeetCode 2593. Find Score of an Array After Marking All Elements is rated Medium on LeetCode.
What is the time complexity of LeetCode 2593. Find Score of an Array After Marking All Elements?
The Python solution on this page runs in O(n \times \log n).
What is the space complexity of LeetCode 2593. Find Score of an Array After Marking All Elements?
The Python solution on this page uses O(n), where n is the length of the array auxiliary space.
What topics does LeetCode 2593. Find Score of an Array After Marking All Elements cover?
LeetCode 2593. Find Score of an Array After Marking All Elements is tagged Array, Hash Table, Sorting, Simulation and Heap (Priority Queue) on LeetCode.

Stuck on problems like this in a live interview?

Stealth Interview is a desktop app for macOS and Windows. It reads the problem off your screen and returns a working solution with a step-by-step explanation and its time and space complexity — invisible to screen sharing.

Get Stealth Interview