1799. Maximize Score After N Operations

https://leetcode.com/problems/maximize-score-after-n-operations

Description

You are given nums, an array of positive integers of size 2 * n. You must perform n operations on this array.

In the ith operation (1-indexed), you will:

• Choose two elements, x and y.

• Receive a score of i * gcd(x, y).

• Remove x and y from nums.

Return the maximum score you can receive after performing n operations.

The function gcd(x, y) is the greatest common divisor of x and y.

Example 1:

**Input:** nums = [1,2]
**Output:** 1
**Explanation:** The optimal choice of operations is:
(1 * gcd(1, 2)) = 1

Example 2:

**Input:** nums = [3,4,6,8]
**Output:** 11
**Explanation:** The optimal choice of operations is:
(1 * gcd(3, 6)) + (2 * gcd(4, 8)) = 3 + 8 = 11

Example 3:

**Input:** nums = [1,2,3,4,5,6]
**Output:** 14
**Explanation:** The optimal choice of operations is:
(1 * gcd(1, 5)) + (2 * gcd(2, 4)) + (3 * gcd(3, 6)) = 1 + 4 + 9 = 14

Constraints:

• 1 <= n <= 7

• nums.length == 2 * n

• 1 <= nums[i] <= 106

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