Today I implemented the intended solution of 1767E
Which unexceptedly got TLE...
Then I tested the sample which input is small (n=10, m=40) and recorded the time consuming of each step in my first solution
I discoverd that when good mask1 of vertex set A (1-m/2) is too much (about 2^19), the preparation of dp takes very long time (about 1000ms on my computer but 1700+ms on official judge)
However, in most of test samples the time consuming is not that much beacuse of a smaller set of good mask1. So I thought about if I permute the number of colors randomly......
In 1st attempt I still got TLE, but after changed the seed of java.util.Random, I got AC in the 2nd attempt
(I know there must be better implementation but I'm lazy QwQ)
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Why downvote??
The solution with $$$O(2^{\frac{n}{2}})$$$ is the correct solution but maybe java is too slow... You can also try Bron's algorithm with $$$O(3^{\frac{n}{3}})$$$ which is a little faster. See the fastest code or my solution: 185938971