2491. Divide Players Into Teams of Equal Skill
Medium
342
7

You are given a positive integer array `skill` of even length `n` where `skill[i]` denotes the skill of the `ith` player. Divide the players into `n / 2` teams of size `2` such that the total skill of each team is equal.

The chemistry of a team is equal to the product of the skills of the players on that team.

Return the sum of the chemistry of all the teams, or return `-1` if there is no way to divide the players into teams such that the total skill of each team is equal.

Example 1:

```Input: skill = [3,2,5,1,3,4]
Output: 22
Explanation:
Divide the players into the following teams: (1, 5), (2, 4), (3, 3), where each team has a total skill of 6.
The sum of the chemistry of all the teams is: 1 * 5 + 2 * 4 + 3 * 3 = 5 + 8 + 9 = 22.
```

Example 2:

```Input: skill = [3,4]
Output: 12
Explanation:
The two players form a team with a total skill of 7.
The chemistry of the team is 3 * 4 = 12.
```

Example 3:

```Input: skill = [1,1,2,3]
Output: -1
Explanation:
There is no way to divide the players into teams such that the total skill of each team is equal.
```

Constraints:

• `2 <= skill.length <= 105`
• `skill.length` is even.
• `1 <= skill[i] <= 1000`
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