120. Archipelago

time limit per test: 0.25 sec.
memory limit per test: 4096 KB

Archipelago Ber-Islands consists of N islands that are vertices of equiangular and equilateral N-gon. Islands are clockwise numerated. Coordinates of island N_{1 are (x1, y1), and island N2 – (x2, y2). Your task is to find coordinates of all N islands.}

Input

In the first line of input there are N, N_{1 and N2 (3£ N£ 150, 1£ N1,N2£N, N1¹N2) separated by spaces. On the next two lines of input there are coordinates of island N1 and N2 (one pair per line) with accuracy 4 digits after decimal point. Each coordinate is more than -2000000 and less than 2000000.}

Output

Write N lines with coordinates for every island. Write coordinates in order of island numeration. Write answer with 6 digits after decimal point.

Sample Input

4 1 3
1.0000 0.0000
1.0000 2.0000

Sample Output

1.000000 0.000000
0.000000 1.000000
1.000000 2.000000
2.000000 1.000000