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1100.Tiling with Hexagons
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1100.Tiling with Hexagons
时间限制:1000MS 内存限制:65535KB
题目描述
Several ages ago Berland was a kingdom. The King of Berland adored math. That's why, when he first visited one of his many palaces, he first of all paid attention to the floor in one hall. The floor was tiled with hexagonal tiles. The hall also turned out hexagonal in its shape. The King walked along the perimeter of the hall and concluded that each of the six sides has *a*, *b*, *c*, *a*, *b* and *c* adjacent tiles, correspondingly. To better visualize the situation, look at the picture showing a similar hexagon for *a*=2, *b*=3 and *c*=4. <br />  <br /> According to the legend, as the King of Berland obtained the values *a*, *b* and *c*, he almost immediately calculated the total number of tiles on the hall floor. Can you do the same?
输入描述
The first line contains three integers: *a*, *b* and *c* (2≤*a* ,*b* ,*c*≤1000).
输出描述
Print a single number --- the total number of tiles on the hall floor.
示例
输入样例
2 3 4
输出样例
18
提示
相关标签
math
dfs
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个题解
GNU C++ 9.3.0
GNU C 9.3.0
Java 1.8
Python 3.8.4
Lua 5.3
GO 1.12.4
JS - (nodejs 10.19.0)
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测试输入
执行结果
2 3 4
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