poj 2253 最短路 or 最小生成树
Freddy Frog is sitting on a stone in the middle of a lake. Suddenly he notices Fiona Frog who is sitting on another stone. He plans to visit her, but since the water is dirty and full of tourists' sunscreen, he wants to avoid swimming and instead reach her by jumping.
Unfortunately Fiona's stone is out of his jump range. Therefore Freddy considers to use other stones as intermediate stops and reach her by a sequence of several small jumps.
To execute a given sequence of jumps, a frog's jump range obviously must be at least as long as the longest jump occuring in the sequence.
The frog distance (humans also call it minimax distance) between two stones therefore is defined as the minimum necessary jump range over all possible paths between the two stones.
You are given the coordinates of Freddy's stone, Fiona's stone and all other stones in the lake. Your job is to compute the frog distance between Freddy's and Fiona's stone.
Input
The input will contain one or more test cases. The first line of each test case will contain the number of stones n (2<=n<=200). The next n lines each contain two integers xi,yi (0 <= xi,yi <= 1000) representing the coordinates of stone #i. Stone #1 is Freddy's stone, stone #2 is Fiona's stone, the other n-2 stones are unoccupied. There's a blank line following each test case. Input is terminated by a value of zero (0) for n.
Output
For each test case, print a line saying "Scenario #x" and a line saying "Frog Distance = y" where x is replaced by the test case number (they are numbered from 1) and y is replaced by the appropriate real number, printed to three decimals. Put a blank line after each test case, even after the last one.
Sample Input
2
0 0
3 4
3
17 4
19 4
18 5
0
Sample Output
Scenario #1
Frog Distance = 5.000
Scenario #2
Frog Distance = 1.414
题意 : 要求青蛙从第一个点跳到第二个点,其他的点作为跳板,可以选择跳或者不跳。问最小权值中的最大值是多少。
注意 : 这题wA 了好久,因为精度的问题,c++交可以过,g++就wa了
还有 sqrt(x), 里面的 x得是浮点型的数,不然交的时候给你提示编译错误
代码:
const int inf = 1<<29;
struct qnode
{
double x, y;
}arr[205];
int n;
double fun(int i, int j){
double ff = sqrt((arr[i].x - arr[j].x)*(arr[i].x - arr[j].x) + (arr[i].y - arr[j].y)*(arr[i].y - arr[j].y));
return ff;
}
double edge[205][205];
double ans; struct node
{
int v;
double c;
node(int _v, double _c):v(_v), c(_c){}
friend bool operator< (node n1, node n2){
return n1.c > n2.c;
}
};
double d[205];
bool vis[205]; void prim(){
ans = 0;
priority_queue<node>que;
while(!que.empty()) que.pop();
for(int i = 1; i <= n; i++){
d[i] = edge[1][i];
que.push(node(i, d[i]));
}
memset(vis, false, sizeof(vis));
while(!que.empty()){
node tem = que.top();
que.pop();
int v = tem.v;
double c = tem.c; ans = max(ans, c);
if (v == 2) return;
if (vis[v]) continue;
vis[v] = true;;
for(int i = 1; i <= n; i++){
if (!vis[i] && edge[v][i] < d[i]){
d[i] = edge[v][i];
que.push(node(i, d[i]));
}
}
}
} int main() { int k = 1;
while(~scanf("%d", &n) && n){
for(int i = 1; i <= n; i++){
scanf("%lf%lf", &arr[i].x, &arr[i].y);
}
for(int i = 1; i <= n; i++){
for(int j = 1; j <= n; j++)
edge[i][j] = inf;
}
for(int i = 1; i <= n; i++){
for(int j = i+1; j <= n; j++){
double len = fun(i, j);
edge[i][j] = edge[j][i] = len;
}
}
prim();
printf("Scenario #%d\n", k++);
printf("Frog Distance = %.3f\n\n", ans);
}
return 0;
}
poj 2253 最短路 or 最小生成树的更多相关文章
- poj 2253 最短路floyd **
题意:有两只青蛙和若干块石头,现在已知这些东西的坐标,两只青蛙A坐标和青蛙B坐标是第一个和第二个坐标,现在A青蛙想要到B青蛙那里去,并且A青蛙可以借助任意石头的跳跃,而从A到B有若干通路,问从A到B的 ...
- 最短路(Floyd_Warshall) POJ 2253 Frogger
题目传送门 /* 最短路:Floyd算法模板题 */ #include <cstdio> #include <iostream> #include <algorithm& ...
- poj 2253 Frogger (最长路中的最短路)
链接:poj 2253 题意:给出青蛙A,B和若干石头的坐标,现青蛙A想到青蛙B那,A可通过随意石头到达B, 问从A到B多条路径中的最长边中的最短距离 分析:这题是最短路的变形,曾经求的是路径总长的最 ...
- POJ 1797 Heavy Transprotation ( 最短路变形 || 最小生成树 )
题意 : 找出 1 到 N 点的所有路径当中拥有最大承载量的一条路,输出这个最大承载量!而每一条路的最大承载量由拥有最大承载量的那一条边决定 分析 : 与 POJ 2253 相似且求的东西正好相反,属 ...
- POJ 2253 Frogger ,poj3660Cow Contest(判断绝对顺序)(最短路,floyed)
POJ 2253 Frogger题目意思就是求所有路径中最大路径中的最小值. #include<iostream> #include<cstdio> #include<s ...
- POJ 2253 ——Frogger——————【最短路、Dijkstra、最长边最小化】
Frogger Time Limit:1000MS Memory Limit:65536KB 64bit IO Format:%I64d & %I64u Submit Stat ...
- POJ 2253 Frogger(dijkstra 最短路
POJ 2253 Frogger Freddy Frog is sitting on a stone in the middle of a lake. Suddenly he notices Fion ...
- POJ. 2253 Frogger (Dijkstra )
POJ. 2253 Frogger (Dijkstra ) 题意分析 首先给出n个点的坐标,其中第一个点的坐标为青蛙1的坐标,第二个点的坐标为青蛙2的坐标.给出的n个点,两两双向互通,求出由1到2可行 ...
- POJ 2253 Difference of Clustering
题意:给出一堆点,求从起点到终点的所有通路中相邻点的距离的最大值的最小值.(意思就是自己百度吧……) 解法:用相邻点的最大值作为权值代替路径的距离跑最短路或者最小生成树.然后我写了一个我以为是优化过的 ...
随机推荐
- Vue 动画的钩子函数
<!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8&quo ...
- js基础-原型
1.定义:我们创建的函数都有一个prototype(原型)属性,该属性是一个对象, 原型模式声明中多了两个属性(自动生成). 构造函数: function Box(nam ...
- Java 5,6,7,8,9,10,11新特性吐血总结
作者:拔剑少年 简书地址:https://www.jianshu.com/u/dad4d9675892 博客地址:https://it18monkey.github.io 转载请注明出处 java5 ...
- win10 uwp 解决 SerialDevice.FromIdAsync 返回空
调用 SerialDevice.FromIdAsync 可能返回空,因为没有设置 package.appmanifest 可以使用端口 打开 package.appmanifest 文件添加下面代码 ...
- vue 项目使用局域网多端访问并实时自动更新(利用 browser-sync)
在写vue的项目中时,虽然vue会自动更新页面,但是切换页面切来切去也很麻烦,有时候我们还要在公司另一台电脑或者手机上调试,这时候利用browser-sync插件,无需改动vue的代码即可实现: 1. ...
- vue-router再学习
vue路由: 1:动态路由配置 import Vue from 'vue' import Router from 'vue-router' import Index from '@/view/inde ...
- JavaSE基础知识---常用对象API之String类
一.String类 Java中用String类对字符串进行了对象的封装,这样的好处在于对象封装后可以定义N多属性和行为,就可以对字符串这种常见的数据进行方便的操作. 格式:(1)String s1 = ...
- 几个关于2-sat的题
几个关于2-sat的题 HDU3062 传送门:http://acm.hdu.edu.cn/showproblem.php?pid=3062 题意: 从2n个人去宴会,有 m条关系 i和j不能同时去 ...
- FCKeditor使用
fckeditor - (1)资料介绍与安装 fckeditor介绍 FCKeditor是一个专门使用在网页上属于开放源代码的所见即所得文字编辑器. 1.fckeditor官网:http://ww ...
- python简单小程序
#足球队寻找10 到12岁的小女孩(包含10岁和12岁),编写程序询问用户性别和年龄,然后显示一条消息指出这个人是否可以加入球队,询问10次,输出满足条件的总人数#询问10次,输出满足要求的总人数 o ...