Codeforces celebrates 10 years! We are pleased to announce the crowdfunding-campaign. Congratulate us by the link https://codeforces.com/10years.
×

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

D. Cow and Snacks

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputThe legendary Farmer John is throwing a huge party, and animals from all over the world are hanging out at his house. His guests are hungry, so he instructs his cow Bessie to bring out the snacks! Moo!

There are $$$n$$$ snacks flavors, numbered with integers $$$1, 2, \ldots, n$$$. Bessie has $$$n$$$ snacks, one snack of each flavor. Every guest has exactly two favorite flavors. The procedure for eating snacks will go as follows:

- First, Bessie will line up the guests in some way.
- Then in this order, guests will approach the snacks one by one.
- Each guest in their turn will eat all remaining snacks of their favorite flavor. In case no favorite flavors are present when a guest goes up, they become very sad.

Help Bessie to minimize the number of sad guests by lining the guests in an optimal way.

Input

The first line contains integers $$$n$$$ and $$$k$$$ ($$$2 \le n \le 10^5$$$, $$$1 \le k \le 10^5$$$), the number of snacks and the number of guests.

The $$$i$$$-th of the following $$$k$$$ lines contains two integers $$$x_i$$$ and $$$y_i$$$ ($$$1 \le x_i, y_i \le n$$$, $$$x_i \ne y_i$$$), favorite snack flavors of the $$$i$$$-th guest.

Output

Output one integer, the smallest possible number of sad guests.

Examples

Input

5 4 1 2 4 3 1 4 3 4

Output

1

Input

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

Output

0

Note

In the first example, Bessie can order the guests like this: $$$3, 1, 2, 4$$$. Guest $$$3$$$ goes first and eats snacks $$$1$$$ and $$$4$$$. Then the guest $$$1$$$ goes and eats the snack $$$2$$$ only, because the snack $$$1$$$ has already been eaten. Similarly, the guest $$$2$$$ goes up and eats the snack $$$3$$$ only. All the snacks are gone, so the guest $$$4$$$ will be sad.

In the second example, one optimal ordering is $$$2, 1, 3, 5, 4$$$. All the guests will be satisfied.

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Feb/17/2020 02:20:19 (i2).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|