CF407A.Triangle

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.

存在一个直角边长度分别为 $a$ 和 $b$ 的直角三角形。你的任务是判断：能否将该三角形放置在平面上，使得它的任意一条边都不与坐标轴平行，且所有顶点的坐标均为整数。若存在这样的放置方式，请输出对应的三个顶点坐标。

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

第一行包含两个整数 $a$ 和 $b$（$1 \leq a, b \leq 1000$），用一个空格分隔。

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 109 in their absolute value.

第一行输出“YES”或“NO”（不带引号），取决于所要求的位置是否存在。如果存在，则在接下来的三行中，每行输出一对整数——即三角形三个顶点的坐标。这些坐标必须为整数，且其绝对值不超过 $10^9$。