Draw an equilateral triangle with center O. Rotate the equilateral triangle 30^{\circ}, 60^{\circ}, 90^{\circ} with respect to O so there would be four congruent equilateral triangles on each other. Look at the diagram. If the smallest triangle has area 1 , the area of the original equilateral triangle could be expressed as p+q \sqrt{r} where p, q, r are positive integers and r is not divisible by a square greater than 1. Find p+q+r.