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Maximum Number of Coins You Can Get

There are 3n piles of coins of varying size, you and your friends will take piles of coins as follows: Given an array of integers piles where piles[i] is the number of coins in...

There are 3n piles of coins of varying size, you and your friends will take piles of coins as follows:

Given an array of integers piles where piles[i] is the number of coins in the ith pile.

Return the maximum number of coins that you can have.

Maximum Number of Coins You Can Get diagram

Example 1

Input: piles = [2,4,1,2,7,8]

Output: 9

Explanation: Choose the triplet (2, 7, 8), Alice Pick the pile with 8 coins, you the pile with 7 coins and Bob the last one. Choose the triplet (1, 2, 4), Alice Pick the pile with 4 coins, you the pile with 2 coins and Bob the last one. The maximum number of coins which you can have are: 7 + 2 = 9. On the other hand if we choose this arrangement (1, 2, 8), (2, 4, 7) you only get 2 + 4 = 6 coins which is not optimal.

Example 2

Input: piles = [2,4,5]

Output: 4

Example 3

Input: piles = [9,8,7,6,5,1,2,3,4]

Output: 18

Constraints

  • 3 <= piles.length <= 10^5
  • piles.length % 3 == 0
  • 1 <= piles[i] <= 10^4

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