How to Solve Maximum Score of Non-overlapping Intervals Problem
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Maximum Score of Non-overlapping Intervals
You are given a 2D integer array intervals, where intervals[i] = [li, ri, weighti]. Interval i starts at position li and ends at ri, and has a weight of weighti. You can choose up to 4 non-overlapping...
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Problem Statement
You are given a 2D integer array intervals, where intervals[i] = [li, ri, weighti]. Interval i starts at position li and ends at ri, and has a weight of weighti. You can choose up to 4 non-overlapping intervals. The score of the chosen intervals is defined as the total sum of their weights. Return the lexicographically smallest array of at most 4 indices from intervals with maximum score, representing your choice of non-overlapping intervals. Two intervals are said to be non-overlapping if they do not share any points. In particular, intervals sharing a left or right boundary are considered overlapping.
Maximum Score of Non-overlapping Intervals
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Examples
intervals = [[1,3,2],[4,5,2],[1,5,5],[6,9,3],[6,7,1],[8,9,1]]
[2,3]
You can choose the intervals with indices 2, and 3 with respective weights of 5, and 3.
intervals = [[5,8,1],[6,7,7],[4,7,3],[9,10,6],[7,8,2],[11,14,3],[3,5,5]]
[1,3,5,6]
You can choose the intervals with indices 1, 3, 5, and 6 with respective weights of 7, 6, 3, and 5.
Constraints
1 <= intevals.length <= 5 * 104
intervals[i].length == 3
intervals[i] = [li, ri, weighti]
1 <= li <= ri <= 109
1 <= weighti <= 109
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