## Task

You are given an undirected graph $G$ with $N$ vertices and $M$ edges. Find how many connected components the given graph has.

A connected component is a maximal subset of vertices from the graph such that for every two nodes $A$ and $B$ in the connected component, we can reach $A$ from $B$ using one or more edges.

## Input data

The first line will contain two numbers, $N$ and $M$, representing the number of vertices and edges the graph has. The next $M$ lines will contain the description of the graph, with one edge on each line.

## Output data

The first line will contain a single number, representing the number of connected components the graph has.

## Constraints and clarifications

- $1 \leq N \leq 100 \ 000$
- $1 \leq M \leq 200 \ 000$
- $1 \leq A, B \leq N$, $A \neq B$
- There are no two identical edges.
- For tests worth $40$ points, $N \leq 1 \ 000$.

## Example 1

`stdin`

```
6 3
1 2
1 4
3 5
```

`stdout`

```
3
```

### Explanation

Vertexes $1$, $2$ and $4$ are in the same connected component.

Vertexes $3$ and $5$ are in the same connected component.

Vertex $6$ is also in its own connected component.

Therefore, we have $3$ connected components.

## Example 2

`stdin`

```
4 2
1 2
3 4
```

`stdout`

```
2
```