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You are given `nums`

, an array of positive integers of size `2 * n`

. You must perform `n`

operations on this array.

In the `i`

operation ^{th}**(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:1Explanation:The optimal choice of operations is: (1 * gcd(1, 2)) = 1

**Example 2:**

Input:nums = [3,4,6,8]Output:11Explanation: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:14Explanation: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] <= 10`

^{6}

All contents and pictures on this website come from the Internet and are updated regularly every week. They are for personal study and research only, and should not be used for commercial purposes. Thank you for your cooperation.