- Time limit: 1.00 s
- Memory limit: 512 MB
Input
The first input line has two integers $n$ and $m$: the number of cities and flights. The cities are numbered $1,2,\dots,n$.
After this, there are $m$ lines describing the flights. Each line has two integers $a$ and $b$: there is a flight from city $a$ to city $b$. All flights are one-way flights.
Output
First print an integer $k$: the required number of new flights. After this, print $k$ lines describing the new flights. You can print any valid solution.
Constraints
- $1 \le n \le 10^5$
- $1 \le m \le 2 \cdot 10^5$
- $1 \le a,b \le n$
Input:
4 5
1 2
2 3
3 1
1 4
3 4
Output:
1
4 2