15. Count all Possible Path
The problem can be found at the following link: Question Link
My Approach
Check for the existence of an Eulerian cycle in the graph.
If every node in the graph has an even degree, it implies the existence of an Eulerian cycle. To determine this, sum the elements in each vector in the input
paths
.If any vector accumulate an odd sum, the function returns
false
, indicating the absence of an Eulerian cycle.
Note:
To understand the Euler circuit please refer to this
Time and Auxiliary Space Complexity
Time Complexity :
O(N*M)
, whereN
is the number of vectors inpaths
andM
is the average number of elements in each vector.Auxiliary Space Complexity :
O(1)
, as we are not using any extra space except for some variables.
Code (C++)
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