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 Int = int64_t;
using UInt = uint64_t;
using C = std::complex<double>;
#define rep(i, n) for(Int i = 0; i < (Int)(n); ++i)
#define guard(x) if( not (x) ) continue;

int main() {
   Int v, e;
   std::cin >> v >> e;
   std::vector<Int> ss(e), ts(e), ws(e);
   rep(i, e) std::cin >> ss[i] >> ts[i] >> ws[i];
   std::vector<std::pair<Int, Int>> xs;
   rep(i, e) xs.emplace_back(ws[i], i);
   std::sort(xs.begin(), xs.end());
   std::vector<Int> ps(v, -1), ns(v,1);
   auto find = [&](Int x) {
      while( ps[x] != -1 ) {
         x = ps[x];
      }
      return x;
   };
   auto unite = [&](Int x, Int y) {
      x = find(x), y = find(y);
      if( x != y ) {
         if( not ( ns[x] <= ns[y] ) ) std::swap(x, y);
         ps[x] = y;
         ns[y] += ns[x];
      }
   };
   Int res = 0;
   rep(i, e) {
      Int k = xs[i].second;
      Int s = ss[k], t = ts[k];
      guard( find(s) != find(t) );
      unite(s, t);
      res += ws[k];
   }
   printf("%ld\n", res);
}