题目描述
Problem Statement
On a two-dimensional coordinate plane where the $\mathrm{x}$ axis points to the right and the $\mathrm{y}$ axis points up, we have a regular N-gon with $N vertices p_0, p_1, p_2, \dots, p_{N - 1}$.
Here, N is guaranteed to be even, and the vertices $p_0, p_1, p_2, \dots, p_{N - 1}$ are in counter-clockwise order.
Let (x_i, y_i) denotes the coordinates of p_i.
Given $x_0, y_0, x_{\frac{N}{2}}$, and $y_{\frac{N}{2}}, find x_1$ and y_1.
Input
Input is given from Standard Input in the following format:
N
x_0 y_0
$x_{\frac{N}{2}} y_{\frac{N}{2}}$
Output
Print x_1 and y_1 in this order, with a space in between.
Your output is considered correct when, for each value printed, the absolute or relative error from our answer is at most 10^{-5}.
Constraints
- $4 \le N \le 100$
- N is even.
- $0 \le x_0, y_0 \le 100$
- $0 \le x_{\frac{N}{2}}, y_{\frac{N}{2}} \le 100$
- $(x_0, y_0) \neq (x_{\frac{N}{2}}, y_{\frac{N}{2}})$
- All values in input are integers.
Sample Input 1
4
1 1
2 2
Sample Output 1
2.00000000000 1.00000000000
We are given p_0 = (1, 1) and p_2 = (2, 2).
The fact that p_0, p_1, p_2, and p_3 form a square and they are in counter-clockwise order uniquely determines the coordinates of the other vertices, as follows:
- p_1 = (2, 1)
- p_3 = (1, 2)
Sample Input 2
6
5 3
7 4
Sample Output 2
5.93301270189 2.38397459622
输入格式
见题面 Input 部分
输出格式
见题面 Output 部分