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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

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