## 1036 - Cell Phone Network

Time Limit : 2 Second

Memory Limit : 128 MB

Submission: 28

Solved: 12

Description
Farmer John has decided to give each of his cows a cell phone in
hopes to encourage their social interaction. This, however, requires
him to set up cell phone towers on his N (1 <= N <= 10,000) pastures
(conveniently numbered 1..N) so they can all communicate.

Exactly N-1 pairs of pastures are adjacent, and for any two pastures
A and B (1 <= A <= N; 1 <= B <= N; A != B) there is a sequence of
adjacent pastures such that A is the first pasture in the sequence
and B is the last. Farmer John can only place cell phone towers in
the pastures, and each tower has enough range to provide service
to the pasture it is on and all pastures adjacent to the pasture
with the cell tower.

Help him determine the minimum number of towers he must install to
provide cell phone service to each pasture.
Input
* Line 1: A single integer: N

* Lines 2..N: Each line specifies a pair of adjacent pastures with two
space-separated integers: A and B
Output

* Line 1: A single integer indicating the minimum number of towers to
install
sample input
```5
1 3
5 2
4 3
3 5
```
sample output
`2`
hint
source
USACO JAN08
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