There are N numbers; their values are A1, A2, ..., An respectively, their sum is S. There is a big rectangle which area is S. You need to draw N number small rectangle which area is its value. Requirement: (1). The small rectangle must be inside the big rectangle and fill the large rectangle in full(no extra room left); (2). No small rectangle can be overlapped; (3). Each edge of the big rectangles must contain at least 3 small rectangles edges. Find the solution to coordinates of the lower left corner, width and height of each rectangle.
An example is given in the photo (N = 10)：https://i.stack.imgur.com/NkTFx.png
