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979. Galaxy

Ограничения: время – 1s/2s, память – 16MiB Ввод: input.txt или стандартный ввод Вывод: output.txt или стандартный вывод copy
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You are observing a distant galaxy using a telescope above the Astronomy Tower, and you think that a rectangle drawn in that galaxy whose edges are parallel to coordinate axes and contain maximum star systems on its edges has a great deal to do with the mysteries of universe. However you do not have the laptop with you, thus you have written the coordinates of all star systems down on a piece of paper and decide to work out the result later. Can you finish this task?
5387.jpg
Input
Input file starts with one integer N (1 ), the number of star systems on the telescope. N lines follow, each line consists of two integers: the X and Y coordinates of the Kth planet system. The absolute value of any coordinate is no more than 10^9, and you can assume that the planets are arbitrarily distributed in the universe.
Output
Output the maximum value you have found.

Sample Input

10
2 3
9 2
7 4
3 4
5 7
1 5
10 4
10 6
11 4
4 6

Sample Output

7
Источник: РГУ им. И.Канта, осенний командный турнир, 2007
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