Print All Paths

easy
1. You are given a graph, a source vertex and a destination vertex.
2. You are required to find and print all paths between source and destination. Print 
     them in lexicographical order.
    
    E.g. Check the following paths
             012546
             01256
             032546
             03256

    The lexicographically smaller path is printed first.   

Input Format

Input has been managed for you

Output Format

Check sample output

Constraints

None

Notice

Try First, Check Solution later

1. You should first read the question and watch the question video.
2. Think of a solution approach, then try and submit the question on editor tab.
3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input
7
8
0 1 10
1 2 10
2 3 10
0 3 10
3 4 10
4 5 10
5 6 10
4 6 10
0
6
Output
0123456
012346
03456
0346
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