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.
\n\nReturn 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.
\n
Example 1:
\n\n\nInput: skill = [3,2,5,1,3,4]\nOutput: 22\nExplanation: \nDivide the players into the following teams: (1, 5), (2, 4), (3, 3), where each team has a total skill of 6.\nThe sum of the chemistry of all the teams is: 1 * 5 + 2 * 4 + 3 * 3 = 5 + 8 + 9 = 22.\n\n\n
Example 2:
\n\n\nInput: skill = [3,4]\nOutput: 12\nExplanation: \nThe two players form a team with a total skill of 7.\nThe chemistry of the team is 3 * 4 = 12.\n\n\n
Example 3:
\n\n\nInput: skill = [1,1,2,3]\nOutput: -1\nExplanation: \nThere is no way to divide the players into teams such that the total skill of each team is equal.\n\n\n
\n
Constraints:
\n\n2 <= skill.length <= 105skill.length is even.1 <= skill[i] <= 1000Compiled with clang 11 using the latest C++ 20 standard.
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Most standard library headers are already included automatically for your convenience.
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