CF1030D.Vasya and Triangle

Vasya has got three integers $n$, $m$ and $k$. He'd like to find three integer points $(x_1, y_1)$, $(x_2, y_2)$, $(x_3, y_3)$, such that $0 \le x_1, x_2, x_3 \le n$, $0 \le y_1, y_2, y_3 \le m$ and the area of the triangle formed by these points is equal to $\frac{nm}{k}$.

Help Vasya! Find such points (if it's possible). If there are multiple solutions, print any of them.

瓦西娅得到了三个整数 $n$、$m$ 和 $k$。他希望找到三个整数点 $(x_1, y_1)$、$(x_2, y_2)$、$(x_3, y_3)$，满足 $0 \le x_1, x_2, x_3 \le n$，$0 \le y_1, y_2, y_3 \le m$，且这三个点构成的三角形面积恰好等于 $\frac{nm}{k}$。

请帮助瓦西娅！找出这样的一组点（如果存在）。若存在多组解，输出任意一组即可。

The single line contains three integers $n$, $m$, $k$ ($1\le n, m \le 10^9$, $2 \le k \le 10^9$).

单行包含三个整数 $n$、$m$、$k$（$1\le n, m \le 10^9$，$2 \le k \le 10^9$）。

If there are no such points, print "NO".

Otherwise print "YES" in the first line. The next three lines should contain integers $x_i, y_i$ — coordinates of the points, one point per line. If there are multiple solutions, print any of them.

You can print each letter in any case (upper or lower).

如果没有这样的点，输出 “NO”。

否则，第一行输出 “YES”。接下来的三行每行输出两个整数 $x_i, y_i$，表示对应点的坐标，每个点占一行。如果存在多个解，输出任意一个即可。

你可以以任意大小写（大写或小写）输出每个字母。

In the first example area of the triangle should be equal to $\frac{nm}{k} = 4$. The triangle mentioned in the output is pictured below:

In the second example there is no triangle with area $\frac{nm}{k} = \frac{16}{7}$.

在第一个例子中，三角形的面积应等于 $\frac{nm}{k} = 4$。输出中提到的三角形如下图所示：

在第二个例子中，不存在面积为 $\frac{nm}{k} = \frac{16}{7}$ 的三角形。