human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "counting solutions to random cnf formulas"):
  Abstract: We give the first efficient algorithm to approximately count the number of solutions in the random $k$-SAT model when the density of the formula scales exponentially with $k$. The best previous counting algorithm was due to Montanari and Shah and was based on the correlation decay method, which works up to densities $(1+o_k(1))\frac{2\log k}{k}$, the Gibbs uniqueness threshold for the model. Instead, our algorithm harnesses a recent technique by Moitra to work for random formulas. The main challenge in our setting is to account for the presence of high-degree variables whose marginal distributions are hard to control and which cause significant correlations within the formula.

Includes members:
  Member "counting independent sets and colorings on random regular bipartite graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "zeros and approximations of holant polynomials on the complex plane")
  Member "counting hypergraph colorings in the local lemma regime":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "fast sampling and counting k sat solutions in the local lemma regime")
  Member "sampling random colorings of sparse random graphs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "distributed symmetry breaking in sampling optimal distributed randomly coloring with fewer colors")
  Member "approximate counting the lovasz local lemma and inference in graphical models":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "fast sampling and counting k sat solutions in the local lemma regime")
  Member "approximation via correlation decay when strong spatial mixing fails":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "fast sampling and counting k sat solutions in the local lemma regime")
  Member "on the concentration of the number of solutions of random satisfiability formulas":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "combining the k cnf and xor phase transitions")
  Member "new constructive aspects of the lovasz local lemma":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "fast sampling and counting k sat solutions in the local lemma regime")
  Member "deterministic algorithms for the lovasz local lemma":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "deterministic algorithms for the lovasz local lemma simpler more general and more parallel")

Question: Please tell me which class the source paper belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.DS(Data Structures and Algorithms)