The Mystery of Triangle

There’re some unresolved problems of triangle so far. For example, whether there’s a three middle integer Helen triangle? It is unable to prove its existence until now; they have not found such a triangle. But I' m sure you can solve this problem. Now, there is an equilateral triangle（等边三角形）,each edge is divided into two equal parts. Such as the picture

and if each edge is divided into three equal parts,
the triangle becomes

,now you task is to count the number of triangles, diamonds（菱形）, and parallelograms（平行四边形）.

Each line will contain a integer n (1 < n < 2^31 - 1). It means each edge of triangle is divided into n equal parts. Process to the end of input.

Each test case contains three lines. Print answers % 20091226.

2
3

Triangle: 5
Diamond: 3
Parallelogram: 3
Triangle: 13
Diamond: 9
Parallelogram: 15

B.A.C

HDU 2nd “Vegetable-Birds Cup” Programming Open Contest