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QOJ

Time Limit: 3.0 s Memory Limit: 1024 MB Total points: 100 Hackable ✓

#600. 最小 MEX 生成树

统计

给定一张 $n$ 个点 $m$ 条边的无向连通图。第 $i$ 条边有一个非负整数权值 $w_i$。找到图中一棵生成树,使得其所有边的权值的 mex 尽可能小。

输入格式

输入的第一行包含两个正整数 $n$ 和 $m$($1 \le n \le 5 \times 10^5$, $1 \le m \le 10^6$)。

接下来 $m$ 行,每行包含三个非负整数 $u$、$v$ 和 $w$($1 \le u,v \le n$, $u \ne v$, $0 \le w \le n-1$),表示有一条连接点 $u$ 与点 $v$,边权为 $w$ 的边。

输出格式

输出一行,包含一个整数,表示答案。

样例数据

样例 1 输入

2 2
1 2 0
1 2 1

样例 1 输出

0

样例 2 输入

5 7
1 2 0
1 3 0
2 4 1
2 5 0
3 4 2
3 5 0
4 5 1

样例 2 输出

1

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