Given N point on a 2D plane as pair of (x, y) co-ordinates, we need to find maximum number of point which lie on the same line.

Examples:

Input : points[] = {-1, 1}, {0, 0}, {1, 1}, {2, 2}, {3, 3}, {3, 4}

Output : 4

Then maximum number of point which lie on same

line are 4, those point are {0, 0}, {1, 1}, {2, 2}, {3, 3}

where arr.size<10^3