All Tracks Algorithms Graphs Depth First Search Problem

Monk and Graph Problem
Tag(s):

Algorithms, DFS, Easy, Graph Theory

Problem
Editorial
Analytics

Monk and his graph problems never end. Here is one more from our own Monk:
Given an undirected graph with $$N$$ vertices and $$M$$ edges, what is the maximum number of edges in any connected component of the graph.
In other words, if given graph has $$k$$ connected components, and $$E_1,E_2,....E_k$$ be the number of edges in the respective connected component, then find $$max(E_1,E_2,....,E_k)$$ .

The graph may have multiple edges and self loops. The $$N$$ vertices are numbered as $$1,2,...,N$$.

Input Format:
The first line of input consists of two space separated integers $$N$$ and $$M$$, denoting number of vertices in the graph and number of edges in the graph respectively.
Following $$M$$ lines consists of two space separated each $$a$$ and $$b$$, denoting there is an edge between vertex $$a$$ and vertex $$b$$.

Output Format:
The only line of output consists of answer of the question asked by Monk.

Input Constraints:
$$1 \le N \le 10^5$$
$$0 \le M \le 10^5$$
$$1 \le a,b \le N$$

SAMPLE INPUT
6 3
1 2
2 3
4 5
SAMPLE OUTPUT
2
Explanation

The graph has $$3$$ connected components :
First component is $$1-2-3$$ which has $$2$$ edges.
Second component is $$4-5$$ which has $$1$$ edge.
Third component is $$6$$ which has no edges.

So, answer is $$max(2,1,0)=2$$

Time Limit: 1.0 sec(s) for each input file.
Memory Limit: 256 MB
Source Limit: 1024 KB
Marking Scheme: Marks are awarded when all the testcases pass.
Allowed Languages: C, C++, Clojure, C#, D, Erlang, F#, Go, Groovy, Haskell, Java, Java 8, JavaScript(Rhino), JavaScript(Node.js), Lisp, Lisp (SBCL), Lua, Objective-C, OCaml, Octave, Pascal, Perl, PHP, Python, Python 3, R(RScript), Racket, Ruby, Rust, Scala 2.11.8, Swift, Visual Basic

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This Problem was Asked in

HackerEarth

Challenge Name

CodeMonk (Graph Theory Part I)

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