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  • Time and Space Complexity
  1. week-5

Merge Intervals

PreviousPermutationsNextLowest Common Ancestor of a Binary Tree

Last updated 2 years ago

Problem

Given an array of intervals where intervals[i] = [starti, endi], merge all overlapping intervals, and return an array of the non-overlapping intervals that cover all the intervals in the input.

Example 1:

Input: intervals = [[1,3],[2,6],[8,10],[15,18]]
Output: [[1,6],[8,10],[15,18]]
Explanation: Since intervals [1,3] and [2,6] overlap, merge them into [1,6].

Example 2:

Input: intervals = [[1,4],[4,5]]
Output: [[1,5]]
Explanation: Intervals [1,4] and [4,5] are considered overlapping.

Pseudocode

- sort array in ascending min val
    - for loop to merge
    - what are conditions to merge?
    - push non merge/overlaps to result

Solution

function merge(intervals) {
  if (!intervals.length) {
    return intervals;
  }

  // if start interval isn't the same, sort using the start interval, otherwise sort using end interval
  intervals.sort((a, b) => (a[0] !== b[0] ? a[0] - b[0] : a[1] - b[1]));
  //   console.log(intervals)

  var prev = intervals[0];
  var res = [prev];

  for (var curr of intervals) {
    // if start of current interval is smaller than previous end
    if (curr[0] <= prev[1]) {
      // merge to the largest end interval either previous or current
      prev[1] = Math.max(prev[1], curr[1]);

      // else push and reassign prev and curr
    } else {
      res.push(curr);
      prev = curr;
    }
  }

  return res;
}

Time and Space Complexity

Time

  • What did the code do

  • Total -

Space

  • What did the code do

  • Total -

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