LeetCode 3281: Maximize Score of Numbers in Ranges Solution

Master LeetCode problem 3281 (Maximize Score of Numbers in Ranges), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

3281. Maximize Score of Numbers in Ranges

Medium

Array Binary Search Greedy Sorting

Problem Explanation

Explanation:

Algorithmic Idea:
1. Iterate through the given array of integers start and calculate the possible choices of integers within each interval.
2. Sort all possible choices and calculate the absolute differences between consecutive choices to find the minimum absolute difference.
3. Return this minimum absolute difference as the maximum possible score.
Time Complexity: O(n log n) where n is the length of the start array due to sorting.
Space Complexity: O(n) to store the possible choices.

Solution Code

import java.util.Arrays;

class Solution {
    public int maximizeScore(int[] start, int d) {
        int n = start.length;
        int[] choices = new int[n * 2];
        for (int i = 0; i < n; i++) {
            choices[i * 2] = start[i];
            choices[i * 2 + 1] = start[i] + d;
        }
        Arrays.sort(choices);
        int maxScore = Integer.MAX_VALUE;
        for (int i = 1; i < choices.length; i++) {
            maxScore = Math.min(maxScore, choices[i] - choices[i - 1]);
        }
        return maxScore;
    }
}

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