Triangle

题意翻译

## 题目描述： 给定一个直角三角形，两直角边长为 $a$ 与 $b$（$1 \le a ,b \le 1000$）。问能不能把它放在平面直角坐标系中，使得每个顶点对应的坐标为均整数，且三边均不与坐标轴平行。 ## 输出格式： 若存在，则输出```YES```，并在接下来三行每行输出两个数，表示每个顶点的坐标（每个坐标的 $x,y$ 轴的数的绝对值 $\le 10^9$）；否则输出```NO```。

题目描述

There is a right triangle with legs of length $ a $ and $ b $ . Your task is to determine whether it is possible to locate the triangle on the plane in such a way that none of its sides is parallel to the coordinate axes. All the vertices must have integer coordinates. If there exists such a location, you have to output the appropriate coordinates of vertices.

输入输出格式

输入格式

The first line contains two integers $ a,b $ ( $ 1<=a,b<=1000 $ ), separated by a single space.

输出格式

In the first line print either "YES" or "NO" (without the quotes) depending on whether the required location exists. If it does, print in the next three lines three pairs of integers — the coordinates of the triangle vertices, one pair per line. The coordinates must be integers, not exceeding $ 10^{9} $ in their absolute value.

输入输出样例

输入样例 #1

1 1

输出样例 #1

NO

输入样例 #2

5 5

输出样例 #2

YES
2 1
5 5
-2 4

输入样例 #3

5 10

输出样例 #3

YES
-10 4
-2 -2
1 2