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100 changes: 100 additions & 0 deletions Ukj0ng/202512/14 BOJ P4 유럽여행.md
Original file line number Diff line number Diff line change
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```
import java.io.*;
import java.util.*;

public class Main {
private static final BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
private static final BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
private static PriorityQueue<Edge> edges;
private static int[] arr, uf, size;
private static int N, P, cost;

public static void main(String[] args) throws IOException {
init();
int answer = MST(cost);

bw.write(answer + "\n");
bw.flush();
bw.close();
br.close();
}

private static void init() throws IOException {
StringTokenizer st = new StringTokenizer(br.readLine());
N = Integer.parseInt(st.nextToken());
P = Integer.parseInt(st.nextToken());
cost = 1001;

arr = new int[N+1];
uf = new int[N+1];
size = new int[N+1];

for (int i = 1; i <= N; i++) {
arr[i] = Integer.parseInt(br.readLine());
cost = Math.min(cost, arr[i]);
uf[i] = i;
size[i] = 1;
}

edges = new PriorityQueue<>((o1, o2) -> Integer.compare(o1.w, o2.w));

for (int i = 0; i < P; i++) {
st = new StringTokenizer(br.readLine());
int s = Integer.parseInt(st.nextToken());
int e = Integer.parseInt(st.nextToken());
int l = Integer.parseInt(st.nextToken());

edges.add(new Edge(s, e, l*2 + arr[s] + arr[e]));
}
}

private static int MST(int cost) {
int count = 0;

while (count < N && !edges.isEmpty()) {
Edge edge = edges.poll();

int root1 = find(edge.u);
int root2 = find(edge.v);

if (root1 == root2) continue;
union(edge.u, edge.v);
cost += edge.w;
count++;
}

return cost;
}

private static void union(int x, int y) {
int X = find(x);
int Y = find(y);

if (size[X] < size[Y]) {
uf[X] = Y;
size[Y] += size[X];
} else {
uf[Y] = X;
size[X] += size[Y];
}
}

private static int find(int x) {
if (uf[x] == x) return x;

return uf[x] = find(uf[x]);
}

static class Edge {
int u;
int v;
int w;

public Edge(int u, int v, int w) {
this.u = u;
this.v = v;
this.w = w;
}
}
}
```