You are given an array of positive integers nums of length n.
A polygon is a closed plane figure that has at least 3 sides. The longest side of a polygon is smaller than the sum of its other sides.
Conversely, if you have k (k >= 3) positive real numbers a1, a2, a3, ..., ak where a1 <= a2 <= a3 <= ... <= ak and a1 + a2 + a3 + ... + ak-1 > ak, then there always exists a polygon with k sides whose lengths are a1, a2, a3, ..., ak.
The perimeter of a polygon is the sum of lengths of its sides.
\n\nReturn the largest possible perimeter of a polygon whose sides can be formed from nums, or -1 if it is not possible to create a polygon.
\n
Example 1:
\n\n\nInput: nums = [5,5,5]\nOutput: 15\nExplanation: The only possible polygon that can be made from nums has 3 sides: 5, 5, and 5. The perimeter is 5 + 5 + 5 = 15.\n\n\n
Example 2:
\n\n\nInput: nums = [1,12,1,2,5,50,3]\nOutput: 12\nExplanation: The polygon with the largest perimeter which can be made from nums has 5 sides: 1, 1, 2, 3, and 5. The perimeter is 1 + 1 + 2 + 3 + 5 = 12.\nWe cannot have a polygon with either 12 or 50 as the longest side because it is not possible to include 2 or more smaller sides that have a greater sum than either of them.\nIt can be shown that the largest possible perimeter is 12.\n\n\n
Example 3:
\n\n\nInput: nums = [5,5,50]\nOutput: -1\nExplanation: There is no possible way to form a polygon from nums, as a polygon has at least 3 sides and 50 > 5 + 5.\n\n\n
\n
Constraints:
\n\n3 <= n <= 1051 <= nums[i] <= 109给你一个长度为 n 的 正 整数数组 nums 。
多边形 指的是一个至少有 3 条边的封闭二维图形。多边形的 最长边 一定 小于 所有其他边长度之和。
如果你有 k （k >= 3）个 正 数 a1，a2，a3, ...，ak 满足 a1 <= a2 <= a3 <= ... <= ak 且 a1 + a2 + a3 + ... + ak-1 > ak ，那么 一定 存在一个 k 条边的多边形，每条边的长度分别为 a1 ，a2 ，a3 ， ...，ak 。
一个多边形的 周长 指的是它所有边之和。
\n\n请你返回从 nums 中可以构造的 多边形 的 最大周长 。如果不能构造出任何多边形，请你返回 -1 。
\n\n
示例 1：
\n\n\n输入：nums = [5,5,5]\n输出：15\n解释：nums 中唯一可以构造的多边形为三角形，每条边的长度分别为 5 ，5 和 5 ，周长为 5 + 5 + 5 = 15 。\n\n\n
示例 2：
\n\n\n输入：nums = [1,12,1,2,5,50,3]\n输出：12\n解释：最大周长多边形为五边形，每条边的长度分别为 1 ，1 ，2 ，3 和 5 ，周长为 1 + 1 + 2 + 3 + 5 = 12 。\n我们无法构造一个包含变长为 12 或者 50 的多边形，因为其他边之和没法大于两者中的任何一个。\n所以最大周长为 12 。\n\n\n
示例 3：
\n\n\n输入：nums = [5,5,50]\n输出：-1\n解释：无法构造任何多边形，因为多边形至少要有 3 条边且 50 > 5 + 5 。\n\n\n
\n\n
提示：
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