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Amalgamated Artichokes

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Statement

Amalgamated Artichokes, page 1

Amalgamated Artichokes, page 2

Examples

Sample input 1
42 1 23 4 8 10
Sample output 1
104.855110477
Sample input 2
100 7 615 998 801 3
Sample output 2
0.00
Sample input 3
100 432 406 867 60 1000
Sample output 3
399.303813

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