Rotate Point

You are given n points p1, p2, ..., pn in a plane and n integers a1, a2, ..., an. For any index i (1 ≤ i ≤ n), it is possible to perform the following operation (let's call it i-rotation) on an arbitrary point P: Rotate P by ai degrees counter-clockwise around the point pi. Note that ai will always be a multiple of 90. Also note that such an operation changes the point P. You should process q q