AtCoder Beginner Contest 197(Sponsored by Panasonic)
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原题
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Problem Statement

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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 $y_1$.

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Constraints

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  • $4 \le N \le 100$
  • $N$ 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.
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Input

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Input is given from Standard Input in the following format:

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N
x_0 y_0
x_{\frac{N}{2}} y_{\frac{N}{2}}

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Output

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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 $10^{-5}$.

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样例

Input #1
4
1 1
2 2
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: - $p_1 = (2, 1)$ - $p_3 = (1, 2)$
Input #2
6
5 3
7 4
Output #2
5.93301270189 2.38397459622
题目信息
题号
abc197_d
时间限制
2 s
内存限制
1024 MB

题面与样例版权归 AtCoder 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。