{ "data": { "question": { "questionId": "3262", "questionFrontendId": "2971", "boundTopicId": null, "title": "Find Polygon With the Largest Perimeter", "titleSlug": "find-polygon-with-the-largest-perimeter", "content": "

You are given an array of positive integers nums of length n.

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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.

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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.

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The perimeter of a polygon is the sum of lengths of its sides.

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Return 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.

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Example 1:

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\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
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Example 2:

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\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
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Example 3:

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\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
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Constraints:

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