There are an infinite amount of bags on a number line, one bag for each coordinate. Some of these bags contain coins.
You are given a 2D array coins, where coins[i] = [li, ri, ci] denotes that every bag from li to ri contains ci coins.
The segments that coins contain are non-overlapping.
You are also given an integer k.
Return the maximum amount of coins you can obtain by collecting k consecutive bags.
Example 1:
Input: coins = [[8,10,1],[1,3,2],[5,6,4]], k = 4
Output: 10
Explanation:
Selecting bags at positions [3, 4, 5, 6] gives the maximum number of coins: 2 + 0 + 4 + 4 = 10.
Example 2:
Input: coins = [[1,10,3]], k = 2
Output: 6
Explanation:
Selecting bags at positions [1, 2] gives the maximum number of coins: 3 + 3 = 6.
Constraints:
1 <= coins.length <= 1051 <= k <= 109coins[i] == [li, ri, ci]1 <= li <= ri <= 1091 <= ci <= 1000