arcpy - Get all the points of a polyline

I have some polyline feature objects in python. Now I want to get all the points of polylines.

For example, if a polyline has start point [0,0] end point [5,5]. Result: [1,1];[2,2];[3,3];[4,4];[5,5].

I want to find all the integer points on that line including end points. For straight line this is dead simple, but if polyline has Beizer Curve, Circular Arc, Elliptic Arc geometry types, then how can I do it?

EDIT:

I can only use those tools which are available in all license levels of ArcGIS. For example, ArcGIS Basic.