LeetCode 3281: Maximize Score of Numbers in Ranges

Problem Description

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.

Solutions

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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