Sadonkorjuu

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.PriorityQueue;
import java.util.StringTokenizer;

public class E430 {

	static int n; // Max (2 * 100 000) = (200 000)

	static ArrayList<WeightedNode> ports = new ArrayList<>();
	static HashMap<Integer, Integer> mins = new HashMap<>();

	public static void main(String[] args) {
		FastReader reader = new FastReader();
		PrintWriter writer = new PrintWriter(new OutputStreamWriter(System.out));

		n = reader.nextInt();

		ArrayList<WeightedNode> nodes = new ArrayList<>();
		
		int a, b, c, t;
		// City types
		for (int id = 1; id < (n + 1); id++) {
			t = reader.nextInt();
			WeightedNode node = new WeightedNode(id, t, id - 1);
			if (t == 0) ports.add(node);
			nodes.add(node);
		}
		
		WeightedGraph graph = new WeightedGraph(nodes);

		// Connections
		for (int i = 0; i < (n - 1); i++) {
			a = reader.nextInt() - 1;
			b = reader.nextInt() - 1;
			c = reader.nextInt();
			graph.addWeightedEdge(a, b, c);
		}
		
		for (WeightedNode port : ports)
			graph.dijkstra(port);

		int sum = 0;
		for (int value : mins.values())
			sum += value;
		
		writer.println(sum);
		writer.flush();
		writer.close();
	}

	// ------------------------------------------------------

	static class WeightedGraph {
		ArrayList<WeightedNode> nodes = new ArrayList<WeightedNode>();
		
		public WeightedGraph(ArrayList<WeightedNode> nodes) {
			this.nodes = nodes;
		}
		
		void dijkstra(WeightedNode node) {
			PriorityQueue<WeightedNode> queue = new PriorityQueue<>();
			node.distance = 0;
			
			queue.addAll(nodes);
			
			while (!queue.isEmpty()) {
				WeightedNode current = queue.remove();
				
				for (WeightedNode neighbor : current.neighbors) {
					if (neighbor.type == 0) continue;
					if (queue.contains(neighbor)) {
						
						if (neighbor.distance > current.distance + current.weightMap.get(neighbor)) {
							neighbor.distance = (current.distance + current.weightMap.get(neighbor));
							
							if (mins.containsKey(neighbor.id)) {
								mins.put(neighbor.id, Math.min(mins.get(neighbor.id), neighbor.distance));
							} else {
								mins.put(neighbor.id, neighbor.distance);
							}
							
							neighbor.parent = current;
							queue.remove(neighbor);
							queue.add(neighbor);
						}
					}
				}
				
			}
			
		}
		
		void addWeightedEdge(int a, int b, int c) {
			WeightedNode first = nodes.get(a);
			WeightedNode second = nodes.get(b);
			first.neighbors.add(second);
			first.weightMap.put(second, c);
			second.neighbors.add(first);
			second.weightMap.put(first, c);
		}
	}
	
	static class WeightedNode implements Comparable<WeightedNode> {
		int id;
		int type;
		ArrayList<WeightedNode> neighbors = new ArrayList<>();
		HashMap<WeightedNode, Integer> weightMap = new HashMap<>();
		boolean visited = false;
		WeightedNode parent;
		int distance;
		int index;
		
		public WeightedNode(int id, int type, int index) {
			this.id = id;
			this.type = type;
			distance = Integer.MAX_VALUE;
			this.index = index;
		}
		
		@Override
		public String toString() {
			return String.valueOf(id);
		}

		@Override
		public int compareTo(WeightedNode o) {
			return this.distance - o.distance;
		}
		
		
	}

	static class FastReader {

		private BufferedReader br;
		private StringTokenizer st;

		public FastReader() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}

		void close() {
			try {
				br.close();
			} catch (IOException e) {
				e.printStackTrace();
			}
			st = null;
			br = null;
		}

		String next() {
			while (st == null || !st.hasMoreElements()) {
				try {
					st = new StringTokenizer(br.readLine());
				} catch (IOException e) {
					e.printStackTrace();
				}
			}
			return st.nextToken();
		}

		String nextLine() {
			String str = "";

			try {
				str = br.readLine();
			} catch (IOException e) {
				e.printStackTrace();
			}

			return str;
		}

		int nextInt() {
			return Integer.parseInt(next());
		}

		BigInteger nextBigInteger() {
			return new BigInteger(next());
		}

		double nextDouble() {
			return Double.parseDouble(next());
		}

		long nextLong() {
			return Long.parseLong(next());
		}

	}

}

Test 1

Group: 1, 2

Verdict: ACCEPTED

Test 2

Group: 1, 2

Verdict: ACCEPTED

Test 3

Group: 1, 2

Verdict: ACCEPTED

Test 4

Group: 1, 2

Verdict: ACCEPTED

Test 5

Group: 1, 2

Verdict: WRONG ANSWER

Test 6

Group: 1, 2

Verdict: ACCEPTED

Test 7

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 8

Group: 1, 2

Verdict: WRONG ANSWER

Test 9

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 10

Group: 1, 2

Verdict: WRONG ANSWER

Test 11

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 12

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 13

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 14

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 15

Group: 1, 2

Verdict: ACCEPTED

Test 16

Group: 1, 2

Verdict: WRONG ANSWER

Test 17

Group: 1, 2

Verdict: WRONG ANSWER

Test 18

Group: 1, 2

Verdict: WRONG ANSWER

Test 19

Group: 1, 2

Verdict: WRONG ANSWER

Test 20

Group: 1, 2

Verdict: WRONG ANSWER

Test 21

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 22

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 23

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 24

Group: 1, 2

Verdict: ACCEPTED

Test 25

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 26

Group: 1, 2

Verdict: ACCEPTED

Test 27

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 28

Group: 1, 2

Verdict: ACCEPTED

Test 29

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 30

Group: 1, 2

Verdict: ACCEPTED

Test 31

Group: 2

Verdict: TIME LIMIT EXCEEDED