A bee starts flying from point P0. She flies 1 inch due east to point P1. For j≥1, once the bee reaches point Pj, she turns 30∘ counterclockwise and then flies j+1 inches straight to point Pj+1. When the bee reaches P2015 she is exactly ab+cd inches away from P0, where a, b, c and d are positive integers and b and d are not divisible by the square of any prime. What is a+b+c+d?<spanclass=′latex−bold′>(A)</span>2016<spanclass=′latex−bold′>(B)</span>2024<spanclass=′latex−bold′>(C)</span>2032<spanclass=′latex−bold′>(D)</span>2040<spanclass=′latex−bold′>(E)</span>2048