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There are n flights, and they are labeled from 1 to n.

We have a list of flight bookings. The i-th booking bookings[i] = [i, j, k] means that we booked k seats from flights labeled i to j inclusive.

Return an array answer of length n, representing the number of seats booked on each flight in order of their label.

Example 1:

Input: bookings = [[1,2,10],[2,3,20],[2,5,25]], n = 5
Output: [10,55,45,25,25]

Constraints:

  • 1 <= bookings.length <= 20000
  • 1 <= bookings[i][0] <= bookings[i][1] <= n <= 20000
  • 1 <= bookings[i][2] <= 10000