LogiQuest

285. Minimum Spanning Tree

MediumKruskalUnion-Find

Print the total weight of a minimum spanning tree of the connected undirected weighted graph.

Input format

Line 1: n m Next m lines: u v w

Output format

The MST weight.

Example 1

Input

4 5
1 2 10
1 3 6
1 4 5
2 4 15
3 4 4

Output

19

Example 2

Input

2 1
1 2 7

Output

7

Constraints

1 ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 4 test cases, most of them hidden.

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