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欢迎参加IJCAI 2020麻将智能体竞赛,大奖等你拿!Welcome to IJCAI 2020 Mahjong AI competition with amazing prizes! | 北京大学《ACM/ICPC大学生程序设计竞赛训练》暑期课面向全球招生!
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Time Limit: 2000MSMemory Limit: 32768K
Total Submissions: 27098Accepted: 8495


"How am I ever going to solve this problem?" said the pilot.

Indeed, the pilot was not facing an easy task. She had to drop packages at specific points scattered in a dangerous area. Furthermore, the pilot could only fly over the area once in a straight line, and she had to fly over as many points as possible. All points were given by means of integer coordinates in a two-dimensional space. The pilot wanted to know the largest number of points from the given set that all lie on one line. Can you write a program that calculates this number?

Your program has to be efficient!


Input consist several case,First line of the each case is an integer N ( 1 < N < 700 ),then follow N pairs of integers. Each pair of integers is separated by one blank and ended by a new-line character. The input ended by N=0.


output one integer for each input case ,representing the largest number of points that all lie on one line.

Sample Input

1 1
2 2
3 3
9 10
10 11

Sample Output



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