HDU 5761 Rower Bo

求解船到河岸最短时间问题
本文介绍了一种计算船只从特定位置出发到达河岸原点所需最短时间的方法。考虑了水流速度和船只相对于水的速度,通过数学公式计算得出结果,并提供了具体的编程实现。

Rower Bo

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 502    Accepted Submission(s): 146
Special Judge


Problem Description
There is a river on the Cartesian coordinate system,the river is flowing along the x-axis direction.

Rower Bo is placed at (0,a) at first.He wants to get to origin (0,0) by boat.Boat speed relative to water is v1,and the speed of the water flow is v2.He will adjust the direction of v1 to origin all the time.

Your task is to calculate how much time he will use to get to origin.Your answer should be rounded to four decimal places.

If he can't arrive origin anyway,print"Infinity"(without quotation marks).
 

 

Input
There are several test cases. (no more than 1000)

For each test case,there is only one line containing three integers a,v1,v2.

0a1000v1,v2,100a,v1,v2 are integers
 

 

Output
For each test case,print a string or a real number.

If the absolute error between your answer and the standard answer is no more than 104, your solution will be accepted.
 

 

Sample Input
2 3 3 2 4 3
 

 

Sample Output
Infinity
1.1428571429
 
/* ***********************************************
Author        :guanjun
Created Time  :2016/7/26 15:54:55
File Name     :p310.cpp
************************************************ */
#include <iostream>
#include <cstring>
#include <cstdlib>
#include <stdio.h>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <iomanip>
#include <list>
#include <deque>
#include <stack>
#define ull unsigned long long
#define ll long long
#define mod 90001
#define INF 0x3f3f3f3f
#define maxn 10010
#define cle(a) memset(a,0,sizeof(a))
#define pi 3.1415926
const ull inf = 1LL << 61;
const double eps=1e-5;
using namespace std;
priority_queue<int,vector<int>,greater<int> >pq;
struct Node{
    int x,y;
};
struct cmp{
    bool operator()(Node a,Node b){
        if(a.x==b.x) return a.y> b.y;
        return a.x>b.x;
    }
};

bool cmp(int a,int b){
    return a>b;
}

int main()
{
    #ifndef ONLINE_JUDGE
    freopen("in.txt","r",stdin);
    #endif
    //freopen("out.txt","w",stdout);
    double a,v1,v2;
    while(cin>>a>>v1>>v2){
        if(a==0){
            printf("%.7f\n",0);continue;
        }
        if(v1<=v2){
            puts("Infinity");
        }
        else{
            printf("%.7f\n",a*v1/(v1*v1-v2*v2));
        }
    }
    return 0;
}

解析:

哎 。。。只要设出来r 就是v1方向上的距离就行了。。

 

也可以参考 http://wenku.baidu.com/view/cbce4ddebe23482fb4da4c9f?fr=prin

转载于:https://www.cnblogs.com/pk28/p/5708833.html

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