Turn Around

For products that are wrapped in small packings it is necessary that the sheet of paper containing the directions for use is folded until its size becomes small enough. We assume that a sheet of paper is rectangular and only folded along lines parallel to its initially shorter edge. The act of folding along such a line, however, can be performed in two directions: either the surface on the top of the sheet is brought together, or the surface on its bottom. In both cases the two parts of the rectangle that are separated by the folding line are laid together neatly and we ignore any differences in thickness of the resulting folded sheet.
After several such folding steps have been performed we may unfold the sheet again and take a look at its longer edge holding the sheet so that it appears as a one-dimensional curve, actually a concatenation of line segments. If we move along this curve in a fixed direction we can classify every place where the sheet was folded as either type A meaning a clockwise turn or type V meaning a counter-clockwise turn. Given such a sequence of classifications, produce a drawing of the longer edge of the sheet assuming 90 degree turns at equidistant places.

听说这题题意很恶心，特意帮你们百度了几分题意：

1.你一开始在（300420）这个点，向四个方向走，每次走10步，第一次你向下走了10步，然后看输入，若是A就是向右拐，V就是左拐。

2.它给了你一个起点和第一次画线的方向，第一个起点是(300,420)，第一次画线方向往右画的，所以每次都得输出：300 420 moveto，310 420 lineto，然后后面便根据你输入的A,V来重新进行方向画线，记住A是往右V是往左，然后唯一的难点就是用dir控制东西南北方向的判定了,dir的周期为4

3.现在有一个固定初始坐标（300.420）的点，它按照一定的操作命令序列每向前走10个单位长度的距离就左转（V）或右转（A）。现在要每个操作命令序列来输出这个点的轨迹（并遵循一定的格式）。

V
AVV

300 420 moveto
310 420 lineto
310 430 lineto
stroke
showpage
300 420 moveto
310 420 lineto
310 410 lineto
320 410 lineto
320 420 lineto
stroke
showpage