A lattice\:point is a point with integer coordinates. (For example, (1,4) is a lattice point but \left(\frac32,4\right) is not.) The line y=3x-5 passes through square PQRS as shown in the diagram. If the coordinates of R are (2009,2009), then the number of lattice points on the line which are inside the square is
Answer Choices
A. 666
B. 667
C. 668
D. 669
E. 670