CF820B Mister B and Angle in Polygon

在一个边为 $n$ 的正凸多边形上，有一个角 $a$。 现在要找到三个不同的顶点 $v1$ , $v2$ , $v3$ 使得 $∠ v1 v2 v3$ （其中 $v2$ 是角度的顶点，并且 $v1$ 和 $v3$ 位于其两侧）尽可能接近 $a$（换句话说，该值应该尽可能小）。 如果有多个最优解，可以输出**任意一个**。

一行包含两个空格分隔的整数 $n$ 和 $a$ ( $3

输出三个空格分隔的整数：$∠ v1 v2 v3$ 的顶点 $v1$ , $v2$ , $v3$ 。如果有多个最优解，输出其中**任意一个**。 顶点按**顺时针**顺序从 $1$ 到 $n$ 编号。

In first sample test vertices of regular triangle can create only angle of $ 60 $ degrees, that's why every possible angle is correct. Vertices of square can create $ 45 $ or $ 90 $ degrees angles only. That's why in second sample test the angle of $ 45 $ degrees was chosen, since $ |45-67|<|90-67| $ . Other correct answers are: "3 1 2", "3 2 4", "4 2 3", "4 3 1", "1 3 4", "1 4 2", "2 4 1", "4 1 3", "3 1 4", "3 4 2", "2 4 3", "2 3 1", "1 3 2", "1 2 4", "4 2 1". In third sample test, on the contrary, the angle of $ 90 $ degrees was chosen, since $ |90-68|<|45-68| $ . Other correct answers are: "2 1 4", "3 2 1", "1 2 3", "4 3 2", "2 3 4", "1 4 3", "3 4 1".