2916. Lattice Animals

单点时限: 1.0 sec

内存限制: 256 MB

Lattice animal is a set of connected sites on a lattice. Lattice animals on a square lattice are especially popular subject of study and are also known as polyominoes. Polyomino is usually represented as a set of sidewise connected squares. Polyomino with squares is called -polyomino.

In this problem you are to find a number of distinct free -polyominoes that fit into rectangle . Free polyominoes can be rotated and flipped over, so that their rotations and mirror images are considered to be the same.

For example, there are 5 different pentominoes (5-polyominoes) that fit into rectangle and 3 different octominoes (8-polyominoes) that fit into rectangle.

输入格式

The input file consists of a single line with 3 integer numbers , , and (, ).

输出格式

Write to the output file a single integer number — the number of distinct free -polyominoes that fit into rectangle .

样例

Input
5 1 4
Output
0
Input
5 2 4
Output
5
Input
5 3 4
Output
11
Input
5 5 5
Output
12
Input
8 3 3
Output
3

4 人解决,25 人已尝试。

4 份提交通过,共有 53 份提交。

9.2 EMB 奖励。

创建: 8 年,6 月前.

修改: 2 年,3 月前.

最后提交: 1 年,9 月前.

来源: NEERC 2004

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