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Pizza With 3n Slices

There is a pizza with 3n slices of varying size, you and your friends will take slices of pizza as follows: Given an integer array slices that represent the sizes of the pizza...

There is a pizza with 3n slices of varying size, you and your friends will take slices of pizza as follows:

Given an integer array slices that represent the sizes of the pizza slices in a clockwise direction, return the maximum possible sum of slice sizes that you can pick.

Pizza With 3n Slices diagram

Example 1

Input: slices = [1,2,3,4,5,6]

Output: 10

Explanation: Pick pizza slice of size 4, Alice and Bob will pick slices with size 3 and 5 respectively. Then Pick slices with size 6, finally Alice and Bob will pick slice of size 2 and 1 respectively. Total = 4 + 6.

Example 2

Input: slices = [8,9,8,6,1,1]

Output: 16

Explanation: Pick pizza slice of size 8 in each turn. If you pick slice with size 9 your partners will pick slices of size 8.

Constraints

  • 3 * n == slices.length
  • 1 <= slices.length <= 500
  • 1 <= slices[i] <= 1000

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