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Discussion
Maximum Differences :

Author

Yash Sahijwani

Difficulty Level : Easy

Submissions : 165

Asked In : Gameskraft

Marks :50

: 3 | : 0

You are given a graph consisting of $$$n$$$ nodes (numbered from 1 to $$$n$$$) and $$$m$$$ edges. You need to first calculate the difference between the maximum numbered and minimum numbered node in each connected component. Then you need to answer the maximum of these differences across all connected components.

Input

The first line of input consists of two space separated integers $$$n$$$ $$$(1 \leq n \leq 10^5)$$$ and $$$m$$$ $$$(1 \leq m \leq 10^5)$$$. The next $$$m$$$ lines each consist of 2 space separated integers, $$$u$$$ and $$$v$$$, which denote that there is an edge between the nodes $$$u$$$ and $$$v$$$.

Output

The output consists of a single integer - the maximum difference across all connected components.

Example

Input
6 4
1 3
3 5
5 2
2 4
Output
4

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Result : Executed

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Result : Accepted

Test Cases :

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