UVa 11096

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[edit] 11096 - Nails

[edit] Summary

Find the length of an elastic band around a set of nails on a 2-D surface.

[edit] Explanation

Find the convex hull and calculate its perimeter.

[edit] Gotchas

The initial length of the elastic is given; remember that it might be longer than the convex perimeter. Also remember to output in the correct format (to five decimal places). Also, calculations do not fit a 32-bit integer.

[edit] Input

2
2 4
0 0
0 1
1 0
1 1

5 4
0 0
0 1
1 0
1 1

[edit] Output

4.00000
5.00000
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