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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define all(x) (x).begin(),(x).end()
const int mod=1000000007,MAX=100001,INF=1<<30;

struct edge{int from,to;ll dis;};

bool compare(edge a,edge b){
    return a.dis<b.dis;
}

int par[MAX];

void init(int n){
    for(int i=0;i<n;i++){
        par[i]=i;
    }
}

int root(int a){
    if(par[a]==a) return a;
    else return par[a]=root(par[a]);
}

void unite(int a,int b){
    if(root(a)!=root(b)) par[root(b)]=root(a);
}

bool check(int a,int b){
    return root(a)==root(b);
}

int main(){

    int V,E;cin>>V>>E;
    vector<edge> S(E);
    for(int i=0;i<E;i++){
        int a,b;
        ll c;cin>>a>>b>>c;
        S[i]={a,b,c};
    }
    
    sort(all(S),compare);
    
    init(V);
    
    ll sum=0;
    
    for(int i=0;i<E;i++){
        int a=S[i].from,b=S[i].to;
        ll c=S[i].dis;
        if(check(a,b)) continue;
        unite(a,b);
        sum+=c;
    }
    
    cout<<sum<<endl;
}