SUBMERGE - Submerging Islands

Vice City is built over a group of islands, with bridges connecting them. As anyone in Vice City knows, the biggest fear of vice-citiers is that some day the islands will submerge. The big problem with this is that once the islands submerge, some of the other islands could get disconnected. You have been hired by the mayor of Vice city to tell him how many islands, when submerged, will disconnect parts of Vice City. You should know that initially all the islands of the city are connected.

Input

The input will consist of a series of test cases. Each test case will start with the number N (1 ≤ N ≤ 10^4) of islands, and the number M of bridges (1 ≤ M ≤ 10^5). Following there will be M lines each describing a bridge. Each of these M lines will contain two integers Ui, Vi (1 ≤ Ui,Vi ≤ N), indicating that there is a bridge connecting islands Ui and Vi. The input ends with a case where N = M = 0.

Output

For each case on the input you must print a line indicating the number of islands that, when submerged, will disconnect parts of the city.

Example

Input:
3 3
1 2
2 3
1 3
6 8
1 3
6 1
6 3
4 1
6 4
5 2
3 2
3 5
0 0

Output:
0
1

Added by:Hector Navarro
Date:2013-05-16
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:MiniMaraton 2013 - UCV

hide comments
2014-12-06 18:23:32 mayank
@[Lakshman] I think you are a bit wrong on the implementation part. :)
2013-07-16 11:31:41 [Lakshman]
@Hector Navarro Can you please tell me why I am getting WA, Just I am finding the articulation points.
2013-06-04 11:12:59 beginner
Submerging Island means the island if get submerged the remaining cities will no longer remain connected.
2013-05-21 18:26:29 Hector Navarro
Submerging means that the island goes under the sea. For example, if island A is connected to islands B and C, when island A submerges, B and C will be disconnected. In the same scenario when B disconnects A and C will still be connected
2013-05-19 11:30:54 Ankit Paharia
please explain the above test cases... what submerging means here and how the islands are getting disconnected ???
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