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| 1 | +```java |
| 2 | +import java.util.*; |
| 3 | +import java.io.*; |
| 4 | +import java.awt.Point; |
| 5 | +public class Main { |
| 6 | + |
| 7 | + static int N, M; |
| 8 | + static Point[] points; |
| 9 | + static int[] parents; |
| 10 | + static PriorityQueue<Edge> pq; |
| 11 | + |
| 12 | + static class Edge implements Comparable<Edge>{ |
| 13 | + int from, to; |
| 14 | + double wt; |
| 15 | + public Edge(int from, int to, double wt) { |
| 16 | + this.from = from; |
| 17 | + this.to = to; |
| 18 | + this.wt = wt; |
| 19 | + } |
| 20 | + |
| 21 | + @Override |
| 22 | + public int compareTo(Edge o) { |
| 23 | + return Double.compare(this.wt, o.wt); |
| 24 | + } |
| 25 | + } |
| 26 | + |
| 27 | + public static void main(String[] args) throws IOException { |
| 28 | + BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); |
| 29 | + StringTokenizer st = new StringTokenizer(br.readLine()); |
| 30 | + N = Integer.parseInt(st.nextToken()); // 정점의 개수 |
| 31 | + M = Integer.parseInt(st.nextToken()); // 이미 연결된 통로의 개수 |
| 32 | + |
| 33 | + points = new Point[N+1]; |
| 34 | + for (int i = 1; i < N+1; i++) { |
| 35 | + st = new StringTokenizer(br.readLine()); |
| 36 | + int x = Integer.parseInt(st.nextToken()); |
| 37 | + int y = Integer.parseInt(st.nextToken()); |
| 38 | + points[i] = new Point(x, y); |
| 39 | + } |
| 40 | + |
| 41 | + makeSet(); |
| 42 | + |
| 43 | + for (int i = 0; i < M; i++) { |
| 44 | + // 이미 연결된 정점들에 대해 union |
| 45 | + st = new StringTokenizer(br.readLine()); |
| 46 | + int a = Integer.parseInt(st.nextToken()); |
| 47 | + int b = Integer.parseInt(st.nextToken()); |
| 48 | + union(a, b); |
| 49 | + } |
| 50 | + |
| 51 | + makePQ(); |
| 52 | + double result = kruskal(); |
| 53 | + System.out.printf("%.2f\n", result); |
| 54 | + br.close(); |
| 55 | + } |
| 56 | + |
| 57 | + static double kruskal() { |
| 58 | + double result = 0.0; |
| 59 | + while (!pq.isEmpty()) { |
| 60 | + Edge e = pq.poll(); |
| 61 | + if (union(e.to, e.from)) { |
| 62 | + result += e.wt; |
| 63 | + } |
| 64 | + } |
| 65 | + return result; |
| 66 | + } |
| 67 | + |
| 68 | + static void makePQ() { |
| 69 | + pq = new PriorityQueue<>(); |
| 70 | + for (int i = 1; i < N; i++) { |
| 71 | + for (int j = i+1; j < N+1; j++) { |
| 72 | + pq.add(new Edge(i, j, getDist(points[i], points[j]))); |
| 73 | + } |
| 74 | + } |
| 75 | + } |
| 76 | + |
| 77 | + static void makeSet() { |
| 78 | + parents = new int[N+1]; |
| 79 | + for (int i = 1; i < N+1; i++) { |
| 80 | + parents[i] = i; |
| 81 | + } |
| 82 | + } |
| 83 | + |
| 84 | + static int find(int a) { |
| 85 | + if (parents[a] == a) return a; |
| 86 | + return parents[a] = find(parents[a]); |
| 87 | + } |
| 88 | + |
| 89 | + static boolean union(int a, int b) { |
| 90 | + int aRoot = find(a); |
| 91 | + int bRoot = find(b); |
| 92 | + if (aRoot == bRoot) return false; |
| 93 | + if (aRoot < bRoot) { |
| 94 | + parents[bRoot] = aRoot; |
| 95 | + } else { |
| 96 | + parents[bRoot] = aRoot; |
| 97 | + } |
| 98 | + return true; |
| 99 | + } |
| 100 | + |
| 101 | + static double getDist(Point a, Point b) { |
| 102 | + return Math.sqrt(Math.pow(a.x - b.x, 2) + Math.pow(a.y - b.y, 2)); |
| 103 | + } |
| 104 | +} |
| 105 | + |
| 106 | +``` |
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