HDU 4720 Naive and Silly Muggles (外切圆心)

Naive and Silly Muggles

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 228 Accepted Submission(s): 163

Problem Description

Three wizards are doing a experiment. To avoid from bothering, a special magic is set around them. The magic forms a circle, which covers those three wizards, in other words, all of them are inside or on the border of the circle. And due to save the magic power, circle's area should as smaller as it could be.

Naive and silly "muggles"(who have no talents in magic) should absolutely not get into the circle, nor even on its border, or they will be in danger.

Given the position of a muggle, is he safe, or in serious danger?

 

Input

The first line has a number T (T <= 10) , indicating the number of test cases.

For each test case there are four lines. Three lines come each with two integers x
_i and y
_i (|x
_i, y
_i| <= 10), indicating the three wizards' positions. Then a single line with two numbers q
_x and q
_y (|q
_x, q
_y| <= 10), indicating the muggle's position.

 

Output

For test case X, output "Case #X: " first, then output "Danger" or "Safe".

 

Sample Input

3
0 0
2 0
1 2
1 -0.5

0 0
2 0
1 2
1 -0.6

0 0
3 0
1 1
1 -1.5

 

Sample Output

Case #1: Danger
Case #2: Safe
Case #3: Safe

 

Source

2013 ACM/ICPC Asia Regional Online —— Warmup2

 

外切圆心坐标

x=(x1+x2+x3)/3;

y=(y1+y2+y3)/3;

import java.awt.Point;
import java.io.*;
import java.util.*;

public class Main {
	BufferedReader bu;
	PrintWriter pw;
	int t;
	double x,y;
	public static void main(String[] args) throws Exception {
		new Main().work();
	}

	void work() throws Exception {
		Scanner sc=new Scanner(new InputStreamReader(System.in));
		pw = new PrintWriter(new OutputStreamWriter(System.out), true);
		t = sc.nextInt();
		for (int p = 1; p <= t; p++) {
			pw.print("Case #" + p + ": ");
			double x1, y1;
			double x2, y2;
			double x3, y3;
			double x4, y4;
			//第一个wizard 的坐标
			x1 = sc.nextDouble();
			y1 = sc.nextDouble();
			//第二个wizard 的坐标
			x2 = sc.nextDouble();
			y2 = sc.nextDouble();
			//第三个wizard 的坐标
			x3 = sc.nextDouble();
			y3 = sc.nextDouble();
			//muggles 坐标
			x4 = sc.nextDouble();
			y4 = sc.nextDouble();
			//外切园的圆心坐标
			x=(x1+x2+x3)/3;
			y=(y1+y2+y3)/3;
			//半径
			double r=Math.sqrt((x1-x)*(x1-x)+(y1-y)*(y1-y));
			//muggles到圆心的距离
			double d=Math.sqrt((x4-x)*(x4-x)+(y4-y)*(y4-y));

			if(d>r){
				pw.println("Safe");
			}
			else{
				pw.println("Danger");
			}
		}
	}
}