Vasily the Bear and Triangle

题意翻译

一个矩形的一个顶点为$(0,0)$,对顶点为$(x,y)$,输出一个面积最小且包含上述矩形的等腰三角形(其中一个顶点为$(0,0)$)的另外两个顶点

题目描述

Vasily the bear has a favorite rectangle, it has one vertex at point $ (0,0) $ , and the opposite vertex at point $ (x,y) $ . Of course, the sides of Vasya's favorite rectangle are parallel to the coordinate axes. Vasya also loves triangles, if the triangles have one vertex at point $ B=(0,0) $ . That's why today he asks you to find two points $ A=(x_{1},y_{1}) $ and $ C=(x_{2},y_{2}) $ , such that the following conditions hold: - the coordinates of points: $ x_{1} $ , $ x_{2} $ , $ y_{1} $ , $ y_{2} $ are integers. Besides, the following inequation holds: $ x_{1}<x_{2} $ ; - the triangle formed by point $ A $ , $ B $ and $ C $ is rectangular and isosceles (![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF336A/722fcc24f0ddfe8fedfe378a89e62bfed7c996ca.png) is right); - all points of the favorite rectangle are located inside or on the border of triangle $ ABC $ ; - the area of triangle $ ABC $ is as small as possible. Help the bear, find the required points. It is not so hard to proof that these points are unique.

输入输出格式

输入格式


The first line contains two integers $ x,y $ $ (-10^{9}<=x,y<=10^{9},x≠0,y≠0) $ .

输出格式


Print in the single line four integers $ x_{1},y_{1},x_{2},y_{2} $ — the coordinates of the required points.

输入输出样例

输入样例 #1

10 5

输出样例 #1

0 15 15 0

输入样例 #2

-10 5

输出样例 #2

-15 0 0 15

说明

![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF336A/896cbfe600ef69dca7f4621525643522b7e1ceb2.png) Figure to the first sample