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Insert Interval


  • Question:

You are given an array of non-overlapping intervals intervals where intervals[i] = [starti, endi] represent the start and the end of the ith interval and intervals is sorted in ascending order by starti. You are also given an interval newInterval = [start, end] that represents the start and end of another interval.

Insert newInterval into intervals such that intervals is still sorted in ascending order by starti and intervals still does not have any overlapping intervals (merge overlapping intervals if necessary).

Return intervals after the insertion.


  • Example:

Input: intervals = [[1,3],[6,9]], newInterval = [2,5]

Output: [[1,5],[6,9]]


  • Solution:

Code :

class Solution {
    public int[][] insert(int[][] intervals, int[] newInterval) {
         List<int[]> result = new ArrayList<>();
        
        // Iterate through all slots
        for(int[] slot : intervals)
        {
            
            // if newInterval before slot insert newInterval & update slot as new interval
            if(newInterval[1] < slot[0])
            {
                result.add(newInterval);
                newInterval = slot;
            } 
            
            // if slot is lesser than new Interval insert slot
            else if(slot[1] < newInterval[0])
            {
                result.add(slot);
            } 
            
            // if above conditions fail its an overlap since possibility of new interval existing in left & right of slot is checked
            // update lowest of start & highest of end & not insert
            else {
                newInterval[0] = Math.min(newInterval[0],slot[0]);
                newInterval[1] = Math.max(newInterval[1],slot[1]);
            }
        }
        
        // insert the last newInterval
        result.add(newInterval);
        
        // convert to int[][] array
        return result.toArray(new int[result.size()][]);
    }
}