Cuber QQ likes observing the clock when he is bored.

This time, Cuber QQ buys a kooky clock, the clock has three hands. Unlike ordinary clocks, the three hands of this clock are connected one by one, i.e., the first hand is at the innermost position, and its rotating center is the center of the dial. The rotating center of the second hand is the end of the first hand (that is, with the rotation of the first hand, the rotating center of the second hand will change); similarly, the third hand is rotating around the end of the second hand.
The lengths of the three hands are and respectively, and their rotating speed is also different, the time required for three hands to rotate in a 360-degree is second, second and second.

Cuber QQ assumes that the center of the clock is the origin of the axes and the end of three hands are at , and at begining.
He now wants to know the position of the end of the third hand after the hands of the clock have rotated seconds.

The first line contains one integer  (), which denotes the times the three hands have rotated.

The second line contains three integers  and  (), denotes the length of each hand.

The third line contains three integers  and  (), denotes the time of each hand required to rotate in a 360-degree.

Print two numbers to denote the position of the third hand is .

Your answer is considered correct if its absolute or relative error does not exceed .

Formally, let your answer be , and the jury's answer be . Your answer is accepted if and only if .

2
1 2 3
3 2 1

-0.8660254038 4.5000000000