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.
\n\n\n
Example 1:
\n\nInput: start = [6,0,3], d = 2
\n\nOutput: 4
\n\nExplanation:
\n\nThe 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:
\n\nInput: start = [2,6,13,13], d = 5
\n\nOutput: 5
\n\nExplanation:
\n\nThe 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.
\n
Constraints:
\n\n2 <= start.length <= 1050 <= start[i] <= 1090 <= d <= 109给你一个整数数组 start 和一个整数 d，代表 n 个区间 [start[i], start[i] + d]。
你需要选择 n 个整数，其中第 i 个整数必须属于第 i 个区间。所选整数的 得分 定义为所选整数两两之间的 最小 绝对差。
返回所选整数的 最大可能得分 。
\n\n\n\n
示例 1：
\n\n输入： start = [6,0,3], d = 2
\n\n输出： 4
\n\n解释：
\n\n可以选择整数 8, 0 和 4 获得最大可能得分，得分为 min(|8 - 0|, |8 - 4|, |0 - 4|)，等于 4。
示例 2：
\n\n输入： start = [2,6,13,13], d = 5
\n\n输出： 5
\n\n解释：
\n\n可以选择整数 2, 7, 13 和 18 获得最大可能得分，得分为 min(|2 - 7|, |2 - 13|, |2 - 18|, |7 - 13|, |7 - 18|, |13 - 18|)，等于 5。
\n\n
提示：
\n\n2 <= start.length <= 1050 <= start[i] <= 1090 <= d <= 109x. We can find a valid configuration of integers by sorting start, the first integer should be start[0], then each subsequent integer should be the smallest one in [start[i], start[i] + d] that is greater than last_chosen_value + x.",
"Binary search over x"
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