[20250613] BOJ / P3 / 쓰레기 슈트 / 권혁준

khj20006/202506/13 BOJ P3 쓰레기 슈트.md

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+```java
+import java.util.*;
+import java.io.*;
+
+class IOController {
+    BufferedReader br;
+    BufferedWriter bw;
+    StringTokenizer st;
+
+    public IOController() {
+        br = new BufferedReader(new InputStreamReader(System.in));
+        bw = new BufferedWriter(new OutputStreamWriter(System.out));
+        st = new StringTokenizer("");
+    }
+
+    String nextLine() throws Exception {
+        String line = br.readLine();
+        st = new StringTokenizer(line);
+        return line;
+    }
+
+    String nextToken() throws Exception {
+        while (!st.hasMoreTokens()) nextLine();
+        return st.nextToken();
+    }
+
+    int nextInt() throws Exception {
+        return Integer.parseInt(nextToken());
+    }
+
+    long nextLong() throws Exception {
+        return Long.parseLong(nextToken());
+    }
+
+    double nextDouble() throws Exception {
+        return Double.parseDouble(nextToken());
+    }
+
+    void close() throws Exception {
+        bw.flush();
+        bw.close();
+    }
+
+    void write(String content) throws Exception {
+        bw.write(content);
+    }
+
+}
+
+class Point {
+    double x, y;
+    Point(double x, double y) {
+        this.x = x;
+        this.y = y;
+    }
+}
+
+public class Main {
+
+    static IOController io;
+
+    //
+
+    static int N;
+    static Point[] A;
+    static List<Point> H;
+
+    public static void main(String[] args) throws Exception {
+
+        io = new IOController();
+
+        N = io.nextInt();
+        for(int t=1;N != 0;t++) {
+            init();
+            solve(t);
+            N = io.nextInt();
+        }
+
+        io.close();
+
+    }
+
+    public static void init() throws Exception {
+
+        A = new Point[N];
+        for(int i=0;i<N;i++) A[i] = new Point(io.nextInt(), io.nextInt());
+        H = new ArrayList<>();
+
+    }
+
+    static void solve(int tc) throws Exception {
+
+        construct();
+        double ans = 1e9;
+        for(int i=0;i<H.size();i++) {
+            Point a = H.get(i), b = H.get((i+1)%H.size());
+            double res = 0;
+            for(int j=0;j<H.size();j++) if(j != i && j != (i+1)%H.size()){
+                Point c = H.get(j);
+                res = Math.max(res, get(a, b, c));
+            }
+            ans = Math.min(ans, res);
+        }
+
+        int answer = (int)Math.ceil(ans * 100 - 1e-15);
+
+        String p1 = Integer.toString(answer/100);
+        String p2 = Integer.toString(answer%100);
+        if(p2.length() == 1) p2 = "0" + p2;
+
+        io.write("Case " + tc + ": " + p1 + "." + p2 + "\n");
+
+    }
+
+    static void construct() throws Exception {
+
+        Arrays.sort(A, (a,b) -> {
+            if(a.x == b.x) return Double.compare(a.y,b.y);
+            return Double.compare(a.x,b.x);
+        });
+
+        List<Point> lower = new ArrayList<>();
+        List<Point> upper = new ArrayList<>();
+        for(int i=0;i<N;i++) {
+            Point p = A[i];
+            while(lower.size()>1 && ccw(lower.get(lower.size()-2), lower.get(lower.size()-1), p) <= 0) lower.remove(lower.size()-1);
+            lower.add(p);
+        }
+        for(int i=0;i<N;i++) {
+            Point p = A[i];
+            while(upper.size()>1 && ccw(upper.get(upper.size()-2), upper.get(upper.size()-1), p) >= 0) upper.remove(upper.size()-1);
+            upper.add(p);
+        }
+
+        for(int i=0;i<lower.size()-1;i++) H.add(lower.get(i));
+        for(int i=upper.size()-1;i>0;i--) H.add(upper.get(i));
+
+    }
+
+    static int ccw(Point a, Point b, Point c) {
+        double res = a.x*b.y + b.x*c.y + c.x*a.y - (b.x*a.y + c.x*b.y + a.x*c.y);
+        if(res > 0) return 1;
+        if(res < 0) return -1;
+        return 0;
+    }
+
+    static double get(Point a, Point b, Point c) {
+
+        double dx = b.x-a.x, dy = b.y-a.y;
+
+        // y = dy/dx (x - a.x) + a.y
+        // dx*y = dy*x - dy*a.x + dx*a.y
+        // dy*x - dx*y - dy*a.x + dx*a.y = 0
+
+        double ans = Math.abs(dy*c.x - dx*c.y + a.y*dx - a.x*dy) / Math.sqrt(dy*dy + dx*dx);
+        return ans;
+
+    }
+
+}
+```