Divide Players Into Teams of Equal Skill
You are given a positive integer array skill of even length n where skill[i] denotes the skill of the ith player.
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 <= 10^5
- skill.length is even.
- 1 <= skill[i] <= 1000
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