There are 2009 points on a rectangular piece of paper, plus 4 vertices there are 2013 points in total, any 3 points of these points are not on a straight line. Now take these 2013 points as vertices, cut the rectangular piece of paper, how many triangles can be cut at most?
在一张长方形纸片上有2009个点，加上4个顶点共有2013个点，这些点中任意3点都不在一条直线上．现在以这2013个点为顶点，把长方形纸片剪开，最多能剪出多少个三角形？
<gadget id="calculator">2_009 - 1</gadget>
<output>2_008</output>

<gadget id="calculator">2_008 * 2</gadget>
<output>4_016</output>

<gadget id="calculator">4_016 + 4</gadget>
<output>4_020</output>

<result>4_020</result>