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How to Solve Maximum Elegance of a K-Length Subsequence Problem
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LeetCode ProblemMaximum Elegance of a K-Length Subsequence
You are given a 0-indexed 2D integer array items of length n and an integer k. items[i] = [profiti, categoryi], where profiti and categoryi denote the profit and category of the ith item respectively. Let's define the elegance of a subsequence of items as total_profit + distinct_categories2, where total_profit is the sum of all profits in the subsequence, and distinct_categories is the number of distinct categories from all the categories in the selected subsequence. Your task is to find the maximum elegance from all subsequences of size k in items. Return an integer denoting the maximum elegance of a subsequence of items with size exactly k. Note: A subsequence of an array is a new array generated from the original array by deleting some elements (possibly none) without changing the remaining elements' relative order.
ArrayHash TableStackGreedySortingHeap (Priority Queue)
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Problem Breakdown
Understanding the Maximum Elegance of a K-Length Subsequence Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given a 0-indexed 2D integer array items of length n and an integer k. items[i] = [profiti, categoryi], where profiti and categoryi denote the profit and category of the ith item respectively. Let's define the elegance of a subsequence of items as total_profit + distinct_categories2, where total_profit is the sum of all profits in the subsequence, and distinct_categories is the number of distinct categories from all the categories in the selected subsequence. Your task is to find the maximum elegance from all subsequences of size k in items. Return an integer denoting the maximum elegance of a subsequence of items with size exactly k. Note: A subsequence of an array is a new array generated from the original array by deleting some elements (possibly none) without changing the remaining elements' relative order.
HardProblem #2813
LeetCodeMaximum Elegance of a K-Length Subsequence
Related Topics
ArrayHash TableStackGreedySortingHeap (Priority Queue)
How Phantom Code Helps
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Examples
# Example 1
Input
items = [[3,2],[5,1],[10,1]], k = 2
Output
17
# Example 2
Input
items = [[3,1],[3,1],[2,2],[5,3]], k = 3
Output
19
# Example 3
Input
items = [[1,1],[2,1],[3,1]], k = 3
Output
7
Constraints
1 <= items.length == n <= 105
items[i].length == 2
items[i][0] == profiti
items[i][1] == categoryi
1 <= profiti <= 109
1 <= categoryi <= n
1 <= k <= n
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Solve Maximum Elegance of a K-Length Subsequence — You are given a 0-indexed 2D integer array items of length n and an integer k. i...
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def solve(input):
# Optimal O(n) solution
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Frequently Asked Questions
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Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
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How does Phantom Code help when I'm struggling with Maximum Elegance of a K-Length Subsequence style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
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