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The maximum possible length of the fence is 2, meaning it consists of 2 planks. The first plank is made from wood of lengths 1 and 4, and the second plank is made from wood of lengths 2 and 3. The height of the fence is 5, and no other heights are possible.

Input Example 2:

5
1 10 100 1000 2000

Output Example 2:

1 10

Explanation for Example 2:

The maximum possible length of the fence is 1, meaning it consists of 1 plank. In this case, any two pieces of wood can form a plank, resulting in 10 different possible heights: 11, 101, 1001, 2001, 110, 1010, 2010, 1100, 2100, 3000.


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