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Largest Perimeter Triangle

Given an integer array nums, return the largest perimeter of a triangle with a non-zero area, formed from three of these lengths. If it is impossible to form any triangle of a non-zero area, return 0.

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Largest Perimeter Triangle

easy

Given an integer array nums, return the largest perimeter of a triangle with a non-zero area, formed from three of these lengths. If it is impossible to form any triangle of a non-zero area, return 0.

Constraints

3 <= nums.length <= 10^4 1 <= nums[i] <= 10^6

Format

Input

Input is managed for you

Output

Output is managed for you

Example

Sample Input

4 3 6 2 3

Sample Output

8

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