## USACO 2016 US Open Contest, Gold

## Problem 1. Splitting the Field

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FJ is unfortunately on a tight budget due to low milk production last quarter. He would therefore like to enclose a smaller area to reduce maintenance costs, and the only way he can see to do this is by building two enclosures instead of one. Please help him compute how much less area he needs to enclose, in total, by using two enclosures instead of one. Like the original enclosure, the two enclosures must collectively contain all the cows (with cows on boundaries allowed), and they must have sides parallel to the x and y axes. The two enclosures are not allowed to overlap -- not even on their boundaries. Note that enclosures of zero area are legal, for example if an enclosure has zero width and/or zero height.

#### INPUT FORMAT (file split.in):

The first line of input contains $N$. The next $N$ lines each contain two integers specifying the location of a cow. Cow locations are positive integers in the range $1 \ldots 1,000,000,000$.#### OUTPUT FORMAT (file split.out):

Write a single integer specifying amount of total area FJ can save by using two enclosures instead of one.#### SAMPLE INPUT:

6 4 2 8 10 1 1 9 12 14 7 2 3

#### SAMPLE OUTPUT:

107

Problem credits: Brian Dean