N points are on a plane. You have to find the
minimal number of straight lines, so that each point would
belong to at least one line. Besides, if you have to use
more than one line, then all the lines should be
parallel to each other.
Input
In the first line of input file an integer number N
is written - number of points on a plane (1 ≤ N ≤ 250).
In the next N lines points coordinates are written.
All coordinates are integer numbers with absolute
value not greater that 106.
Output
Write a single number - the answer to this problem.
|
Input 1
|
Output 1
|
Input 2
|
Output 2
|
Input 3
|
Output 3
|
3
0 0
2 0
10 0
|
1
|
4
0 0
1 0
0 1
1 1
|
2
|
4
0 0
1 0
2 1
2 3
|
3
|
|
