HackerEarth Build a graph problem solution

In this HackerEarth Build a graph problem solution You are given an integer n. Determine if there is an unconnected graph with n vertices that contains at least two connected components and contains the number of edges that is equal to the number of vertices. Each vertex must follow one of these conditions:

1. Its degree is less than or equal to 1.
2. It's a cut-vertex.

HackerEarth Build a graph problem solution.

a = input()
if a < 12:
    print "No"
else:
    print "Yes"

Second solution

a = input()
if a < 12:
    print "No"
else:
    print "Yes"