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feat(work): add insert-interval solution
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"""
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57. Insert Interval
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Difficulty: Medium
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https://leetcode.com/problems/insert-interval/
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──────────────────────────────────────────────────
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You are given an array of non-overlapping intervals intervals where
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intervals[i] = [starti, endi] represent the start and the end of the
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i^th interval and intervals is sorted in ascending order by starti.
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You are also given an interval newInterval = [start, end] that
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represents the start and end of another interval.
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Two intervals are considered overlapping if they share at least one
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point.
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Insert newInterval into intervals such that intervals is still sorted
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in ascending order by starti and intervals still does not have any
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overlapping intervals (merge overlapping intervals if necessary).
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Return intervals after the insertion.
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Note that you don't need to modify intervals in-place. You can make a
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new array and return it.
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Example 1:
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Input: intervals = [[1,3],[6,9]], newInterval = [2,5]
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Output: [[1,5],[6,9]]
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Example 2:
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Input: intervals = [[1,2],[3,5],[6,7],[8,10],[12,16]], newInterval =
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[4,8]
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Output: [[1,2],[3,10],[12,16]]
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Explanation: Because the new interval [4,8] overlaps with
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[3,5],[6,7],[8,10].
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Constraints:
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• 0 <= intervals.length <= 10^4
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• intervals[i].length == 2
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• 0 <= starti <= endi <= 10^5
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• intervals is sorted by starti in ascending order.
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• newInterval.length == 2
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• 0 <= start <= end <= 10^5
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"""
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class Solution:
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def insert(self, intervals: list[list[int]], newInterval: list[int]) -> list[list[int]]:
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