Problems > Diameter of the Point Set

Diameter of the Point Set

Difficulty: 2100 6000 ms 128 MB

geometry

Print the squared distance of the two farthest points (the diameter of the set, squared to stay integral).

Input: the first line has N; the next N lines have distinct points x y.

Output: the maximum squared pairwise distance.

Constraints:

  • 1 ≤ N ≤ 105
  • |coordinates| ≤ 106

Sample Tests

Input 1
3
0 0
3 4
0 1
Output 1
25
Input 2
2
0 0
5 5
Output 2
50

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