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Hamiltonian Path
Medium Accuracy: 25.51% Submissions: 333 Points: 4

A Hamiltonian path, is a path in an undirected or directed graph that visits each vertex exactly once. Given an undirected graph  the task is to check if a Hamiltonian path is present in it or not.


Example 1:

Input:
N = 4, M = 4
Edges[][]= { {1,2}, {2,3}, {3,4}, {2,4} }
Output:
1 
Explanation: 
There is a hamiltonian path: 
1 -> 2 -> 3 -> 4 

 

Example 2:

Input:
N = 4, M = 3 
Edges[][] = { {1,2}, {2,3}, {2,4} } 
Output: 
0 
Explanation: 
It can be proved that there is no 
hamiltonian path in the given graph

 

Your task:
You don't need to read input or print anything. Your task is to complete the function check() which takes the N( the number of vertices), M (Number of edges) and the list of Edges[][] (where Edges[i] denotes the undirected Edge between vertices Edge[i][0] and Edges[i][1] ) as input parameter and returns true (boolean value) if the graph contains Hamiltonean path,otherwise returns false. 

 

Expected Time Complexity: O(N!).
Expected Auxiliary Space: O(N+M).

 

Constraints:
1<=N<=10
1<=M<=15
Size of Edges[i] is 2
1 <= Edges[i][0],Edges[i][1] <= N

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Hamiltonian Path

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