You are given a bipartite graph G=(U,V,E), and an integer K. U and V are the two bipartitions of the graph such that |U| = |V| = N , and E is the edge set. The vertices of U are {1,2,...,N } and that of V are {N+1,N+2,...,2N }. You need to find out whether the total number of different perfect matchings in G is strictly greater than K or not. Recall that a perfect matching is a subset of E such that every vertex of the graph belongs to exactly one edge in the subset. Two perfect matchings are considered to be different even if one edge is different. Write a program in C++ programming language that prints a single line containing “Perfect” if the number of perfect matchings is greater than K, and “Not perfect” in other cases. Sample Input: 3 5 2 1 4 2 6 2 5 3 5 3 5 Output: Not Perfect
You are given a bipartite graph G=(U,V,E), and an integer K. U and V are the two bipartitions of the graph such that |U| = |V| = N , and E is the edge set. The vertices of U are {1,2,...,N } and that of V are {N+1,N+2,...,2N }. You need to find out whether the total number of different perfect matchings in G is strictly greater than K or not. Recall that a perfect matching is a subset of E such that every vertex of the graph belongs to exactly one edge in the subset. Two perfect matchings are considered to be different even if one edge is different. Write a program in C++
Sample Input:
3 5 2
1 4
2 6
2 5
3 5
3 5
Output:
Not Perfect
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 3 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Computer Networking: A Top-Down Approach (7th Edi…](https://www.bartleby.com/isbn_cover_images/9780133594140/9780133594140_smallCoverImage.gif)
![Computer Organization and Design MIPS Edition, Fi…](https://www.bartleby.com/isbn_cover_images/9780124077263/9780124077263_smallCoverImage.gif)
![Network+ Guide to Networks (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337569330/9781337569330_smallCoverImage.gif)
![Computer Networking: A Top-Down Approach (7th Edi…](https://www.bartleby.com/isbn_cover_images/9780133594140/9780133594140_smallCoverImage.gif)
![Computer Organization and Design MIPS Edition, Fi…](https://www.bartleby.com/isbn_cover_images/9780124077263/9780124077263_smallCoverImage.gif)
![Network+ Guide to Networks (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337569330/9781337569330_smallCoverImage.gif)
![Concepts of Database Management](https://www.bartleby.com/isbn_cover_images/9781337093422/9781337093422_smallCoverImage.gif)
![Prelude to Programming](https://www.bartleby.com/isbn_cover_images/9780133750423/9780133750423_smallCoverImage.jpg)
![Sc Business Data Communications and Networking, T…](https://www.bartleby.com/isbn_cover_images/9781119368830/9781119368830_smallCoverImage.gif)