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>
#define be(v) (v).begin(),(v).end()
#define pb(q) push_back(q)
typedef long long ll;
using namespace std;
const ll mod=1000000007;
#define doublecout(a) cout<<fixed<<setprecision(10)<<a<<endl;

ll uni[100005];
ll root(ll u){
    if(uni[u]<0)return u;
    return uni[u]=root(uni[u]);
}

void connect(int a,int b){
    a=root(a);
    b=root(b);
    if(a==b)return;
    if(uni[a]<uni[b]){
        a^=b;
        b^=a;
        a^=b;
    }
    uni[a]+=uni[b];
    uni[b]=a;
    return;
}
ll size(ll u){
    return -uni[root(u)];
}
int main() {
    cin.tie(0);
    cout.tie(0);
    ios::sync_with_stdio(false);
    memset(uni,-1,sizeof(uni));
    int n,m,ans=0;
    cin>>n>>m;
    int a,b,c;
    multiset<pair<int,pair<int,int> > > ms;
    for(int i=0;i<m;i++){
    	cin>>a>>b>>c;
    	ms.insert(make_pair(c,make_pair(a,b)));
    }
    for(auto& i:ms){
    	if(root(i.second.first)!=root(i.second.second)){
    		connect(i.second.second,i.second.first);
    		ans+=i.first;
    	}
    }
    cout<<ans<<endl;
    return 0;
}