Score : $200$ points

问题描述

在二维平面上，从点 $(0,0)$ 出发，沿向量指向点 $(A, B)$ 移动距离为 $1$。求移动后我们的坐标位置。

这里需要注意的是，从点 $X$ 向点 $Y$ 移动距离为 $d$（其中 $d \le$ 线段 $XY$ 的长度）时，我们将到达线段 $XY$ 上距 $X$ 点距离恰好为 $d$ 的那个点。

约束条件保证了点 $(0, 0)$ 和点 $(A, B)$ 之间的距离至少为 $1$。

以上为通义千问 qwen-max 翻译，仅供参考。

Problem Statement

From the point $(0,0)$ in a two-dimensional plane, let us move the distance of $1$ toward the point $(A, B)$. Find our coordinates after the move.

Here, after moving the distance of $d$ from a point $X$ to a point $Y$ ($d \le$ length of the segment $XY$), we are at the point on the segment $XY$ whose distance from $X$ is $d$.
The Constraints guarantee that the distance between the points $(0, 0)$ and $(A, B)$ is at least $1$.

Constraints

• All values in input are integers.
• $0 \le A,B \le 1000$
• $(A,B) \neq (0,0)$

Input

Input is given from Standard Input in the following format:

$A$ $B$

Output

Let $(x, y)$ be our coordinates after the move. Print $x$ and $y$ in this order, separated by a space.
Your output is considered correct when, for each printed value, the absolute or relative error from the judge's answer is at most $10^{−6}$.

Sample Input 1

3 4

Sample Output 1

0.600000000000 0.800000000000

Printing 0.5999999999 0.8000000001, for example, would also be accepted.

Sample Input 2

1 0

Sample Output 2

1.000000000000 0.000000000000

We may arrive at $(A, B)$.

Sample Input 3

246 402

Sample Output 3

0.521964870245 0.852966983083

update @ 2024/3/10 10:33:03