Maximize Score of Numbers in Ranges - Practice Coding | SlaveCode
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3281. Maximize Score of Numbers in Ranges
Medium
30 Points
Array
Binary Search
Greedy
Sorting
You are given an array of integers start and an integer d, representing n intervals [start[i], start[i] + d].
You are asked to choose n integers where the ith integer must belong to the ith interval. The score of the chosen integers is defined as the minimum absolute difference between any two integers that have been chosen.
Return the maximum possible score of the chosen integers.
Examples
Example 1
Input: start = [6,0,3], d = 2
Output: 4
Explanation:
The maximum possible score can be obtained by choosing integers: 8, 0, and 4. The score of these chosen integers is min(|8 - 0|, |8 - 4|, |0 - 4|) which equals 4.
Example 2
Input: start = [2,6,13,13], d = 5
Output: 5
Explanation:
The maximum possible score can be obtained by choosing integers: 2, 7, 13, and 18. The score of these chosen integers is min(|2 - 7|, |2 - 13|, |2 - 18|, |7 - 13|, |7 - 18|, |13 - 18|) which equals 5.
Constraints
2 <= start.length <= 105
0 <= start[i] <= 109
0 <= d <= 109
3281. Maximize Score of Numbers in Ranges
Medium
30 Points
Array
Binary Search
Greedy
Sorting
You are given an array of integers start and an integer d, representing n intervals [start[i], start[i] + d].
You are asked to choose n integers where the ith integer must belong to the ith interval. The score of the chosen integers is defined as the minimum absolute difference between any two integers that have been chosen.
Return the maximum possible score of the chosen integers.
Examples
Example 1
Input: start = [6,0,3], d = 2
Output: 4
Explanation:
The maximum possible score can be obtained by choosing integers: 8, 0, and 4. The score of these chosen integers is min(|8 - 0|, |8 - 4|, |0 - 4|) which equals 4.
Example 2
Input: start = [2,6,13,13], d = 5
Output: 5
Explanation:
The maximum possible score can be obtained by choosing integers: 2, 7, 13, and 18. The score of these chosen integers is min(|2 - 7|, |2 - 13|, |2 - 18|, |7 - 13|, |7 - 18|, |13 - 18|) which equals 5.