Codeforces 559A（计算几何）

最新推荐文章于 2024-01-03 19:24:51 发布

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最新推荐文章于 2024-01-03 19:24:51 发布

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原文链接：http://www.cnblogs.com/hnqw1214/p/6602372.html

本文介绍了一个关于等角六边形的编程问题——Gerald'sHexagon。该问题要求通过平行于六边形各边的线条将其切割成尽可能多的等边三角形，并计算这些三角形的数量。文章提供了完整的C++代码实现，通过计算六边形面积与单个三角形面积的比例来得出答案。

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Gerald got a very curious hexagon for his birthday. The boy found out that all the angles of the hexagon are equal to $\text{[math]}$ . Then he measured the length of its sides, and found that each of them is equal to an integer number of centimeters. There the properties of the hexagon ended and Gerald decided to draw on it.

He painted a few lines, parallel to the sides of the hexagon. The lines split the hexagon into regular triangles with sides of 1 centimeter. Now Gerald wonders how many triangles he has got. But there were so many of them that Gerald lost the track of his counting. Help the boy count the triangles.

Input

The first and the single line of the input contains 6 space-separated integers a1, a2, a3, a4, a5 and a6 (1 ≤ ai ≤ 1000) — the lengths of the sides of the hexagons in centimeters in the clockwise order. It is guaranteed that the hexagon with the indicated properties and the exactly such sides exists.

Output

Print a single integer — the number of triangles with the sides of one 1 centimeter, into which the hexagon is split.

Examples

input

1 1 1 1 1 1

output

input

1 2 1 2 1 2

output

Note

This is what Gerald's hexagon looks like in the first sample:

$\text{[math]}$

And that's what it looks like in the second sample:

$\text{[math]}$

题意：给定一个等角的六边形，用平行与边的线将它切成三角形，问最终切成几个三角形？

做法：六边形的全部都被分为了小三角形，所以用六边形的面积/三角形的面积就是三角形的数量

#include<iostream>
#include<cstdio>
#include<cmath>
#include<cstdlib>
#include<algorithm>
#include<cstring>
#include<string>
#include<vector>
#include<map>
#include<set>
#include<queue>
using namespace std;
double a1,a2,a3,a4,a5,a6;
int main()
{
    scanf("%lf%lf%lf%lf%lf%lf",&a1,&a2,&a3,&a4,&a5,&a6);
    printf("%d\n",(int)((a1+a4)*(a2+a3)+a2*a3+a5*a6+0.5));
    return 0;
}