Eulerian Subgraph Count : Explanation for Calculation

Правка en1, от samadeep, 2023-06-22 06:20:11

CSES Problem : Advanced Techniques Section

Is there a explanation and proof anyone can suggest me.

Link :Eulerian Subgraph

You are given an undirected graph that has n nodes and m edges.

We consider subgraphs that have all nodes of the original graph and some of its edges. A subgraph is called Eulerian if each node has even degree.

Your task is to count the number of Eulerian subgraphs modulo 109+7 .

Input

The first input line has two integers n and m : the number of nodes and edges. The nodes are numbered 1,2,…,n .

After this, there are m lines that describe the edges. Each line has two integers a and b : there is an edge between nodes a and b . There is at most one edge between two nodes, and each edge connects two distinct nodes.

Теги eulerian graph, combinatorics, dsu

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en1 Английский samadeep 2023-06-22 06:20:11 883 Initial revision (published)