Time Limit : sec, Memory Limit : KB

# Minimum Spanning Tree

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

## 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.

## 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

## Sample Input 1

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


## Sample Output 1

3


## Sample Input 2

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


## Sample Output 2

5