【lightoj1043】几何数学

灰太狼 2022-07-17 00:27 376阅读 0赞

D - D 使用long long

**Time Limit:**500MS **Memory Limit:**32768KB **64bit IO Format:**%lld & %llu

Submit [Status][] [Practice][] [LightOJ 1043][] [![12x12_uDebug.png][]uDebug][12x12_uDebug.png_uDebug]

Description

See the picture below.

![801b0139373d701f565b58b19062c9ba][]

You are given **AB**, **AC** and **BC**. **DE** is parallel to **BC**. You are also given the area ratio between **ADE** and **BDEC**. You have to find the value of**AD**.

Input

Input starts with an integer **T (≤ 25)**, denoting the number of test cases.

Each case begins with four real numbers denoting **AB, AC, BC** and the ratio of **ADE** and **BDEC (ADE / BDEC)**. You can safely assume that the given triangle is a valid triangle with positive area.

Output

For each case of input you have to print the case number and **AD**. Errors less than **10\-6** will be ignored.

Sample Input

100 100 100 2

10 12 14 1

7 8 9 10

8.134 9.098 7.123 5.10

Sample Output

Case 1: 81.6496580

Case 2: 7.07106781

Case 3: 6.6742381247

Case 4: 7.437454786

简单几何题，相似三角形，几个输入数据都用不到。

#include<cstdio>
    #include<cmath>
    #include<cstring>
    #include<algorithm>
    using namespace std;
    int main() {
    	int T,p=0;
    	scanf("%d",&T);
    	while(T--) {
    		double a,b,c,d;
    		scanf("%lf%lf%lf%lf",&a,&b,&c,&d);
    		double cnt=sqrt(d/(d+1));
    		printf("Case %d: %.6lf\n",++p,cnt*a);
    	}
    	return 0;
    }

[Status]: http://acm.hust.edu.cn/vjudge/contest/129616#status//D/0
[Practice]: http://acm.hust.edu.cn/vjudge/problem/25920
[LightOJ 1043]: http://acm.hust.edu.cn/vjudge/problem/25920/origin
[12x12_uDebug.png]: http://acm.hust.edu.cn/vjudge/images/12x12_uDebug.png
[12x12_uDebug.png_uDebug]: https://www.udebug.com/LOJ/1043
[801b0139373d701f565b58b19062c9ba]: http://7xjob4.com1.z0.glb.clouddn.com/801b0139373d701f565b58b19062c9ba