shunfurh
编程介的小学生
2017-10-05 14:49

Triangular Pastures

  • rest
  • fancy
  • rails
  • lines
  • each

Description

Like everyone, cows enjoy variety. Their current fancy is new shapes for pastures. The old rectangular shapes are out of favor; new geometries are the favorite.

I. M. Hei, the lead cow pasture architect, is in charge of creating a triangular pasture surrounded by nice white fence rails. She is supplied with N (3 <= N <= 40) fence segments (each of integer length Li (1 <= Li <= 40) and must arrange them into a triangular pasture with the largest grazing area. Ms. Hei must use all the rails to create three sides of non-zero length.

Help Ms. Hei convince the rest of the herd that plenty of grazing land will be available.Calculate the largest area that may be enclosed with a supplied set of fence segments.
Input

  • Line 1: A single integer N

  • Lines 2..N+1: N lines, each with a single integer representing one fence segment's length. The lengths are not necessarily unique.
    Output

A single line with the integer that is the truncated integer representation of the largest possible enclosed area multiplied by 100. Output -1 if no triangle of positive area may be constructed.
Sample Input

5
1
1
3
3
4
Sample Output

692

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