AMC 12B 2015 Problem 25

A bee starts flying from point P_{0}. She flies 1 inch due east to point P_{1}. For j \geq 1, once the bee reaches point P_{j}, she turns 30^{\circ} counterclockwise and then flies j+1 inches straight to point P_{j+1}. When the bee reaches P_{2015} she is exactly a \sqrt{b}+c \sqrt{d} inches away from P_{0}, 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 ?

Answer Choices
A. 2016
B. 2024
C. 2032
D. 2040
E. 2048