Problem: Find the sum of weights of edges of the Minimum Spanning Tree for a given weighted undirected graph G = (V, E).

Constraints

* 1 ≤ |V| ≤ 10,000
* 0 ≤ |E| ≤ 100,000
* 0 ≤ wi ≤ 10,000
* The graph is connected
* There are no parallel edges
* There are no self-loops

Input


|V| |E|
s0 t0 w0
s1 t1 w1
:
s|E|-1 t|E|-1 w|E|-1


, where |V| is the number of vertices and |E| is the number of edges in the graph. The graph vertices are named with the numbers 0, 1,..., |V|-1 respectively.

si and ti represent source and target verticess of i-th edge (undirected) and wi represents the weight of the i-th edge.

Output

Print the sum of the weights of the Minimum Spanning Tree.

Examples

Input

4 6
0 1 2
1 2 1
2 3 1
3 0 1
0 2 3
1 3 5


Output

3


Input

6 9
0 1 1
0 2 3
1 2 1
1 3 7
2 4 1
1 4 3
3 4 1
3 5 1
4 5 6


Output

5

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.UncheckedIOException;
import java.util.ArrayList;
import java.util.Comparator;
import java.util.Objects;
import java.util.PriorityQueue;
import java.util.StringTokenizer;


public class Main {
	public static void main(String[] args) {
		SC sc=new SC(System.in);
		int N=sc.nextInt();
		int M=sc.nextInt();
		int INF=100000007;
		int[][] list=new int[N][N];
		for(int i=0; i<N; i++) {
			for(int j=0; j<N; j++) {
				list[i][j]=INF;
			}
		}
		//int M=sc.nextInt();
		Vertex[] graph=new Vertex[N];
		for(int i=0; i<N; i++) {
			graph[i]=new Vertex();
		}
		/*for(int i=0; i<M; i++) {
			int f=sc.nextInt();
			int t=sc.nextInt();
			int c=sc.nextInt();
		}*/
		for(int i=0; i<M; i++) {
			int f=sc.nextInt();
			int t=sc.nextInt();
			int c=sc.nextInt();
			graph[f].add(t, c);
			graph[t].add(f, c);
		}
		int total=0;	//最小全域木のコスト
		PriorityQueue<Pair<Integer,Integer>> Q = new PriorityQueue<Pair<Integer,Integer>>(Comparator.comparing(v -> v.value));
		Q.add(new Pair<Integer,Integer>(0,0));
		boolean[] use=new boolean[N];	//すでに最小全域木の辺がはられているかどうか
		while(!Q.isEmpty()) {
			Pair<Integer,Integer> tmp=Q.poll();
			if(use[tmp.key]) {
				continue;
			}
			use[tmp.key]=true;
			total+=tmp.value;
			//pl(tmp.value);
			for(int i=0; i<graph[tmp.key].size(); i++) {
				Q.add(graph[tmp.key].get(i));
			}
		}
		pl(total);
	}
	public static final class Pair<K, V> {		//powered by mikit
		public K key;
		public V value;

		public Pair(K key, V value) {
			this.key = key;
			this.value = value;
		}
		public static int getValue(Pair<Integer,Integer> a) {
			return a.value;
		}

		public static int getKey(Pair<Integer,Integer> a) {
			return a.key;
		}
		public boolean equals(Object o) {
			if (this == o) return true;
			if (o == null || getClass() != o.getClass()) return false;
			Pair<?, ?> pair = (Pair<?, ?>) o;
			return Objects.equals(key, pair.key) &&
					Objects.equals(value, pair.value);
		}
		public int hashCode() {
			return Objects.hash(key, value);
		}
		public String toString() {
			return "Pair{" +
					"x=" + key +
					", y=" + value +
					'}';
		}
	}
	public static class Vertex{		//今回は2つの頂点の矢印が向いている方のリストに矢印のソースが来る
		ArrayList <Pair<Integer,Integer>> rinsetu=new ArrayList<Pair<Integer,Integer>>();
		public void add(int V,int cost) {
			rinsetu.add(new Pair<Integer, Integer>(V,cost));
		}
		public void show() {		//隣接リストを出力
			for(int i=0; i<rinsetu.size(); i++) {
				System.out.println(rinsetu.get(i));
			}
		}
		public void sort_by_cost() {		//コストの低い順にソートします
			rinsetu.sort(Comparator.comparing(p -> p.value));
		}
		public void sort_by_Vertex() {		//向かう頂点の番号順にソートします
			rinsetu.sort(Comparator.comparing(p -> p.key));
		}
		public int getValue(int i) {
			return Pair.getValue(rinsetu.get(i));	//Valueを取り出す
		}
		public int getKey(int i) {
			return Pair.getKey(rinsetu.get(i));	//Valueを取り出す
		}
		public Pair<Integer,Integer> get(int i) {
			return rinsetu.get(i);	//Valueを取り出す
		}
		public int size() {		//次数（無向なら）　でていく数（有向なら）を返す
			return rinsetu.size();
		}
		public int find_Vertex(int a) {		//ある頂点から本当に特定の辺に行くか？
			for(int i=0; i<rinsetu.size(); i++) {
				if(a==Pair.getKey(rinsetu.get(i))) {
					return i;
				}
			}
			return -1;
		}
	}

	static class SC {
		private BufferedReader reader = null;
		private StringTokenizer tokenizer = null;
		public SC(InputStream in) {
			reader = new BufferedReader(new InputStreamReader(in));
		}
		public String next() {
			if (tokenizer == null || !tokenizer.hasMoreTokens()) {
				try {
					tokenizer = new StringTokenizer(reader.readLine());
				} catch (IOException e) {
					throw new UncheckedIOException(e);
				}
			}
			return tokenizer.nextToken();
		}
		public int nextInt() {
			return Integer.parseInt(next());
		}
		public long nextLong() {
			return Long.parseLong(next());
		}
		public double nextDouble() {
			return Double.parseDouble(next());
		}
		public String nextLine() {
			try {
				return reader.readLine();
			} catch (IOException e) {
				throw new UncheckedIOException(e);
			}
		}
	}
	public static void pl(Object o) {
		System.out.println(o);
	}
	public static void pl() {
		System.out.println();
	}
	public static void p(Object o) {
		System.out.print(o);
	}
}