How to find sum of sizes of all cycles in a small graph ?

Given a connected undirected graph with 1 <= n <= 100 nodes and n-1 <= m <= 100 edges, you need to tell the sum of sizes of all cycles in it. The best I could think of was bitmasks, but it doesn’t work for n upto 100. Can someone please help me with this ?

Is it simple cycle or any cycle?

Simple cycles.

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