228. Archipelago

time limit per test: 0.25 sec.
memory limit per test: 4096 KB
input: standard
output: standard

Ber-islands Archipelago consists of N islands and has a form of regular N-gon. Islands are numbered in a clockwise order. Coordinates of the N1-th island are (X1, Y1), and of the N2-th island are - (X2, Y2). You are to write a program which will find coordinates of all islands.

The input contains three integers N, N1, N2 (3<=N<=150, 1<=N1,N2<=N, N1<>N2). The following two pairs of real numbers are coordinates of N1-th and N2-th islands. All absolute values of coordinates do not exceed 10^6. All numbers separated by white spaces.

Output coordinates of the islands in order of numeration on separate lines. The computed coordinates should be exact to six digits after the decimal point.

Sample test(s)

4 1 3
1.0000 0.0000
1.0000 2.0000

1.000000 0.000000
0.000000 1.000000
1.000000 2.000000
2.000000 1.000000

Author:Michael R. Mirzayanov