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ORCIDMarco Villani 0001
Person information
- affiliation: University of Modena and Reggio Emilia, Department of Physics, Modena, Italy
Other persons with the same name
- Marco Villani 0002
![[0000-0002-7584-4211]](https://dblp.uni-trier.de/img/orcid-mark.12x12.png "0000-0002-7584-4211")
— University of L'Aquila, Department of Electrical and Information Engineering, L'Aquila, Italy - Marco Villani 0003 — Consiglio Nazionale delle Ricerche, Istituto Materiali per Elettronica e Magnetismo, Parma, Italy
- Marco Villani 0004 — Deloitte Consulting Ltd., Lecce, Italy
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2020 – today
- 2024
[j29]Marco Villani, Elena Alboresi, Roberto Serra:
Models of Protocells Undergoing Asymmetrical Division. Entropy 26(4): 281 (2024)- [j28]Michele Braccini, Yuri Gardinazzi, Andrea Roli, Marco Villani:
Sensory-Motor Loop Adaptation in Boolean Network Robots. Sensors 24(11): 3393 (2024) - [e4]Marco Villani, Stefano Cagnoni, Roberto Serra:
Artificial Life and Evolutionary Computation - 17th Italian Workshop, WIVACE 2023, Venice, Italy, September 6-8, 2023, Revised Selected Papers. Communications in Computer and Information Science 1977, Springer 2024, ISBN 978-3-031-57429-0 [contents] - 2023
- [j27]Marco Villani, Roberto Serra:
Super-Exponential Growth in Models of a Binary String World. Entropy 25(1): 168 (2023) - [c65]Giada Fini, Gianluca D'Addese, Luca La Rocca, Marco Villani:
On the Detection of Significant Pairwise Interactions in Complex Systems. WIVACE 2023: 54-64 - [c64]Marco Villani, Matteo Balugani, Roberto Serra:
The Properties of Pseudo-Attractors in Random Boolean Networks. WIVACE 2023: 67-74 - 2022
- [j26]Marco Villani, Gianluca D'Addese, Stuart A. Kauffman, Roberto Serra:
Attractor-Specific and Common Expression Values in Random Boolean Network Models (with a Preliminary Look at Single-Cell Data). Entropy 24(3): 311 (2022) - [c63]Elisa Flori, Yi Zhu, Sandra Paterlini, Francesco Pattarin, Marco Villani:
Spread of Perturbations in Supply Chain Networks: The Effect of the Bow-Tie Organization on the Resilience of the Global Automotive System. WIVACE 2022: 40-57 - [c62]Federica Senatore, Roberto Serra, Marco Villani:
Modelling Wet-Dry Cycles in the Binary Polymer Model. WIVACE 2022: 119-129 - [c61]Federica Senatore, Marco Villani, Roberto Serra:
On the Growth of Chemical Diversity. WIVACE 2022: 130-140 - 2021
- [j25]Gianluca D'Addese, Laura Sani, Luca La Rocca, Roberto Serra, Marco Villani:
Asymptotic Information-Theoretic Detection of Dynamical Organization in Complex Systems. Entropy 23(4): 398 (2021) - [j24]Michele Braccini, Andrea Roli, Marco Villani, Roberto Serra:
Dynamical properties and path dependence in a gene-network model of cell differentiation. Soft Comput. 25(9): 6775-6787 (2021) - [c60]Giovanni Cappelletti, Gianluca D'Addese, Roberto Serra, Marco Villani:
Dynamical Criticality in Growing Networks. WIVACE 2021: 3-13 - [c59]Gianluca D'Addese, Alex Graudenzi, Luca La Rocca, Marco Villani:
Two-Level Detection of Dynamic Organization in Cancer Evolution Models. WIVACE 2021: 207-224 - 2020
- [j23]Gianluca D'Addese, Salvatore Magrì, Roberto Serra, Marco Villani:
Exploring the Dynamic Organization of Random and Evolved Boolean Networks. Algorithms 13(11): 272 (2020)
2010 – 2019
- 2019
- [c58]Michele Braccini, Andrea Roli, Marco Villani, Sara Montagna, Roberto Serra:
A simplified model of chromatin dynamics drives differentiation process in Boolean models of GRN. ALIFE 2019: 211-217 - [c57]Marco Villani, Salvatore Magrì, Andrea Roli, Roberto Serra:
Selecting for Positive Responses to Knock Outs in Boolean Networks. WIVACE 2019: 7-16 - [c56]Alberto Vezzani, Marco Villani, Roberto Serra:
Avalanches of Perturbations in Modular Gene Regulatory Networks. WIVACE 2019: 17-27 - [c55]Michele Braccini, Andrea Roli, Marco Villani, Sara Montagna, Roberto Serra:
The Effects of a Simplified Model of Chromatin Dynamics on Attractors Robustness in Random Boolean Networks with Self-loops: An Experimental Study. WIVACE 2019: 28-37 - [c54]Laura Sani, Gianluca D'Addese, Alex Graudenzi, Marco Villani:
The Detection of Dynamical Organization in Cancer Evolution Models. WIVACE 2019: 49-61 - [e3]Stefano Cagnoni, Monica Mordonini, Riccardo Pecori, Andrea Roli, Marco Villani:
Artificial Life and Evolutionary Computation - 13th Italian Workshop, WIVACE 2018, Parma, Italy, September 10-12, 2018, Revised Selected Papers. Communications in Computer and Information Science 900, Springer 2019, ISBN 978-3-030-21732-7 [contents] - 2018
- [j22]Marco Villani, Laura Sani, Riccardo Pecori, Michele Amoretti, Andrea Roli, Monica Mordonini, Roberto Serra, Stefano Cagnoni:
An Iterative Information-Theoretic Approach to the Detection of Structures in Complex Systems. Complex. 2018: 3687839:1-3687839:15 (2018) - [j21]Marco Villani, Luca La Rocca, Stuart A. Kauffman, Roberto Serra:
Dynamical Criticality in Gene Regulatory Networks. Complex. 2018: 5980636:1-5980636:14 (2018) - [j20]Andrea Roli, Marco Villani, Alessandro Filisetti, Roberto Serra:
Dynamical Criticality: Overview and Open Questions. J. Syst. Sci. Complex. 31(3): 647-663 (2018) - [c53]Laura Sani, Gianluca D'Addese, Riccardo Pecori, Monica Mordonini, Marco Villani, Stefano Cagnoni:
An Integration-Based Approach to Pattern Clustering and Classification. AI*IA 2018: 362-374 - [c52]Laura Sani, Alberto Bononi, Riccardo Pecori, Michele Amoretti, Monica Mordonini, Andrea Roli, Marco Villani, Stefano Cagnoni, Roberto Serra:
An Improved Relevance Index Method to Search Important Structures in Complex Systems. WIVACE 2018: 3-16 - [c51]Salvatore Magrì, Marco Villani, Andrea Roli, Roberto Serra:
Evolving Critical Boolean Networks. WIVACE 2018: 17-29 - [e2]Marcello Pelillo, Irene Poli, Andrea Roli, Roberto Serra, Debora Slanzi, Marco Villani:
Artificial Life and Evolutionary Computation - 12th Italian Workshop, WIVACE 2017, Venice, Italy, September 19-21, 2017, Revised Selected Papers. Communications in Computer and Information Science 830, Springer 2018, ISBN 978-3-319-78657-5 [contents] - 2017
- [j19]Andrea Roli, Marco Villani, Riccardo Caprari, Roberto Serra:
Identifying Critical States through the Relevance Index. Entropy 19(2): 73 (2017) - [j18]Marco Villani, Davide Campioli, Chiara Damiani, Andrea Roli, Alessandro Filisetti, Roberto Serra:
Dynamical regimes in non-ergodic random Boolean networks. Nat. Comput. 16(2): 353-363 (2017) - [c50]Andrea Roli, Marco Villani, Roberto Serra:
Locating critical regions by the Relevance Index. ECAL 2017: 370-371 - [c49]Michele Braccini, Andrea Roli, Marco Villani, Roberto Serra:
A Comparison Between Threshold Ergodic Sets and Stochastic Simulation of Boolean Networks for Modelling Cell Differentiation. WIVACE 2017: 116-128 - [c48]Marco Villani, Laura Sani, Michele Amoretti, Emilio Vicari, Riccardo Pecori, Monica Mordonini, Stefano Cagnoni, Roberto Serra:
A Relevance Index Method to Infer Global Properties of Biological Networks. WIVACE 2017: 129-141 - [c47]Davide Sapienza, Marco Villani, Roberto Serra:
Dynamical Properties of a Gene-Protein Model. WIVACE 2017: 142-152 - [c46]Martina Musa, Marco Villani, Roberto Serra:
Simulating Populations of Protocells with Uneven Division. WIVACE 2017: 153-164 - 2016
- [c45]Laura Sani, Michele Amoretti, Emilio Vicari, Monica Mordonini, Riccardo Pecori, Andrea Roli, Marco Villani, Stefano Cagnoni, Roberto Serra:
Efficient Search of Relevant Structures in Complex Systems. AI*IA 2016: 35-48 - [c44]Emilio Vicari, Michele Amoretti, Laura Sani, Monica Mordonini, Riccardo Pecori, Andrea Roli, Marco Villani, Stefano Cagnoni, Roberto Serra:
GPU-Based Parallel Search of Relevant Variable Sets in Complex Systems. WIVACE 2016: 14-25 - [c43]Riccardo Righi, Andrea Roli, Margherita Russo, Roberto Serra, Marco Villani:
New Paths for the Application of DCI in Social Sciences: Theoretical Issues Regarding an Empirical Analysis. WIVACE 2016: 42-52 - [c42]Michele Braccini, Andrea Roli, Marco Villani, Roberto Serra:
Automatic Design of Boolean Networks for Cell Differentiation. WIVACE 2016: 91-102 - [c41]Giordano Calvanese, Marco Villani, Roberto Serra:
Synchronization in Near-Membrane Reaction Models of Protocells. WIVACE 2016: 167-178 - 2015
- [j17]Marco Villani, Andrea Roli, Alessandro Filisetti, Marco Fiorucci, Irene Poli, Roberto Serra:
The Search for Candidate Relevant Subsets of Variables in Complex Systems. Artif. Life 21(4): 412-431 (2015) - [c40]Andrea Roli, Marco Villani, Roberto Serra, Stefano Benedettini, Carlo Pinciroli, Mauro Birattari:
Dynamical Properties of Artificially Evolved Boolean Network Robots. AI*IA 2015: 45-57 - [c39]Alessandro Filisetti, Marco Villani, Andrea Roli, Marco Fiorucci, Roberto Serra:
Exploring the organisation of complex systems through the dynamical interactions among their relevant subsets. ECAL 2015: 286-293 - [c38]Marco Villani, Pietro Carra, Andrea Roli, Alessandro Filisetti, Roberto Serra:
On the Robustness of the Detection of Relevant Sets in Complex Dynamical Systems. WIVACE 2015: 15-28 - [c37]Marina L. Di Stefano, Marco Villani, Luca La Rocca, Stuart A. Kauffman, Roberto Serra:
Dynamically Critical Systems and Power-Law Distributions: Avalanches Revisited. WIVACE 2015: 29-39 - [c36]Marco Villani, Alessandro Filisetti, Matthieu Nadini, Roberto Serra:
On the Dynamics of Autocatalytic Cycles in Protocell Models. WIVACE 2015: 92-105 - [i3]Marco Villani, Andrea Roli, Alessandro Filisetti, Marco Fiorucci, Irene Poli, Roberto Serra:
The search for candidate relevant subsets of variables in complex systems. CoRR abs/1502.01734 (2015) - 2014
- [j16]Roberto Serra, Alessandro Filisetti, Marco Villani, Alex Graudenzi, Chiara Damiani, Tommaso Panini:
A stochastic model of catalytic reaction networks in protocells. Nat. Comput. 13(3): 367-377 (2014) - [c35]Alessandro Filisetti, Marco Villani, Chiara Damiani, Alex Graudenzi, Andrea Roli, Wim Hordijk, Roberto Serra:
On RAF Sets and Autocatalytic Cycles in Random Reaction Networks. WIVACE 2014: 113-126 - [c34]Alessandro Filisetti, Marco Villani, Andrea Roli, Marco Fiorucci, Irene Poli, Roberto Serra:
On Some Properties of Information Theoretical Measures for the Study of Complex Systems. WIVACE 2014: 140-150 - [c33]Alex Graudenzi, Chiara Damiani, Andrea Paroni, Alessandro Filisetti, Marco Villani, Roberto Serra, Marco Antoniotti:
Investigating the Role of Network Topology and Dynamical Regimes on the Dynamics of a Cell Differentiation Model. WIVACE 2014: 151-168 - [p2]Marco Villani, Roberto Serra:
Attractors Perturbations in Biological Modelling: Avalanches and Cellular Differentiation. Evolution, Complexity and Artificial Life 2014: 59-76 - [p1]Stefano Benedettini, Andrea Roli, Roberto Serra, Marco Villani:
Automatic Design of Boolean Networks for Modelling Cell Differentiation. Evolution, Complexity and Artificial Life 2014: 77-89 - [e1]Stefano Cagnoni, Marco Mirolli, Marco Villani:
Evolution, Complexity and Artificial Life. Springer 2014, ISBN 978-3-642-37576-7 [contents] - [i2]Roberto Serra, Alessandro Filisetti, Marco Villani, Alex Graudenzi, Chiara Damiani, Tommaso Panini:
A stochastic model of catalytic reaction networks in protocells. CoRR abs/1407.8508 (2014) - 2013
- [j15]Marco Villani, Roberto Serra:
On the dynamical properties of a model of cell differentiation. EURASIP J. Bioinform. Syst. Biol. 2013: 4 (2013) - [j14]Stefano Benedettini, Marco Villani, Andrea Roli, Roberto Serra, Mattia Manfroni, Antonio Gagliardi, Carlo Pinciroli, Mauro Birattari:
Dynamical regimes and learning properties of evolved Boolean networks. Neurocomputing 99: 111-123 (2013) - [c32]Andrea Roli, Marco Villani, Roberto Serra, Lorenzo Garattoni, Carlo Pinciroli, Mauro Birattari:
Identification of Dynamical Structures in Artificial Brains: An Analysis of Boolean Network Controlled Robots. AI*IA 2013: 324-335 - [c31]Marco Villani, Alessandro Filisetti, Stefano Benedettini, Andrea Roli, David Lane, Roberto Serra:
The detection of intermediate-level emergent structures and patterns. ECAL 2013: 372-378 - [c30]Alessandro Filisetti, Alex Graudenzi, Chiara Damiani, Marco Villani, Roberto Serra:
The role of backward reactions in a stochastic model of catalytic reaction networks. ECAL 2013: 793-801 - [c29]Marco Villani, Stefano Benedettini, Andrea Roli, David Lane, Irene Poli, Roberto Serra:
Identifying Emergent Dynamical Structures in Network Models. WIRN 2013: 3-13 - [c28]Chiara Damiani, Alessandro Filisetti, Alex Graudenzi, Marco Villani, Roberto Serra:
Recent developments in research on catalytic reaction networks. WIVACE 2013: 3-13 - [c27]Roberto Serra, Alessandro Filisetti, Alex Graudenzi, Chiara Damiani, Marco Villani:
A model of protocell based on the introduction of a semi-permeable membrane in a stochastic model of catalytic reaction networks. WIVACE 2013: 70-73 - 2012
- [j13]Alessandro Filisetti, Alex Graudenzi, Roberto Serra, Marco Villani, Rudolf M. Füchslin, Norman H. Packard, Stuart A. Kauffman, Irene Poli:
A stochastic model of autocatalytic reaction networks. Theory Biosci. 131(2): 85-93 (2012) - [c26]Marco Villani, Roberto Serra, Stefano Benedettini, Andrea Roli, David Lane:
Noise-Induced Emergent Hierarchies in a CA Model. ACRI 2012: 244-253 - 2011
- [j12]Alex Graudenzi, Roberto Serra, Marco Villani, Annamaria Colacci, Stuart A. Kauffman:
Robustness Analysis of a Boolean Model of Gene Regulatory Network with Memory. J. Comput. Biol. 18(4): 559-577 (2011) - [j11]Alex Graudenzi, Roberto Serra, Marco Villani, Chiara Damiani, Annamaria Colacci, Stuart A. Kauffman:
Dynamical Properties of a Boolean Model of Gene Regulatory Network with Memory. J. Comput. Biol. 18(10): 1291-1303 (2011) - [c25]Alessandro Filisetti, Alex Graudenzi, Roberto Serra, Marco Villani, Davide De Lucrezia, Irene Poli:
The role of energy in a stochastic model of the emergence of autocatalytic sets. ECAL 2011: 226-233 - [c24]Stefano Benedettini, Andrea Roli, Roberto Serra, Marco Villani:
Stochastic Local Search to Automatically Design Boolean Networks with Maximally Distant Attractors. EvoApplications (1) 2011: 22-31 - [c23]Luca Ansaloni, Marco Villani, Roberto Serra, David Lane:
Conditions for Long Lasting Sustainable Innovation in an Agent-based Model. ICAART (2) 2011: 410-417 - [c22]Davide Campioli, Marco Villani, Irene Poli, Roberto Serra:
Dynamical stability in random Boolean networks. WIRN 2011: 120-128 - 2010
- [c21]Chiara Damiani, Stuart A. Kauffman, Roberto Serra, Marco Villani, Annamaria Colacci:
Information Transfer among Coupled Random Boolean Networks. ACRI 2010: 1-11 - [c20]Rudolf M. Füchslin, Alessandro Filisetti, Roberto Serra, Marco Villani, Davide De Lucrezia, Irene Poli:
Dynamical Stability of Autocatalytic Sets. ALIFE 2010: 65-72 - [c19]Andrea Roli, Stefano Benedettini, Roberto Serra, Marco Villani:
Analysis of attractor distances in Random Boolean Networks. WIRN 2010: 201-208 - [c18]A. Barbieri, Marco Villani, Roberto Serra, Stuart A. Kauffman, Annamaria Colacci:
Cell differentiation in noisy random Boolean network. WIRN 2010: 209-217 - [c17]Alessandro Filisetti, Roberto Serra, Marco Villani, Alex Graudenzi, Rudolf M. Füchslin, Irene Poli:
The influence of the residence time on the dynamics of catalytic reaction networks. WIRN 2010: 243-251 - [i1]Andrea Roli, Stefano Benedettini, Roberto Serra, Marco Villani:
Analysis of attractor distances in Random Boolean Networks. CoRR abs/1011.4682 (2010)
2000 – 2009
- 2009
- [j10]Marco Villani:
Multi-Agent Systems. Simulation and Applications (Computational Analysis, Synthesis, and Design of Dynamic Models Series) by Adelinde M. Uhrmacher, Danny Weyns and Pieter J. Mosterman (Eds.). J. Artif. Soc. Soc. Simul. 12(4) (2009) - [c16]A. Barbieri, Marco Villani, Roberto Serra, Stuart A. Kauffman, Annamaria Colacci:
The influence of noise on the dynamics of Random Boolean Network. WIRN 2009: 11-18 - 2008
- [j9]Roberto Serra, Marco Villani, Alex Graudenzi, Annamaria Colacci, Stuart A. Kauffman:
The simulation of gene knock-out in scale-free random Boolean models of genetic networks. Networks Heterog. Media 3(2): 333-343 (2008) - [c15]Roberto Serra, Marco Villani, Chiara Damiani, Alex Graudenzi, Annamaria Colacci:
The Diffusion of Perturbations in a Model of Coupled Random Boolean Networks. ACRI 2008: 315-322 - [c14]Roberto Serra, Marco Villani:
A CA Model of Spontaneous Formation of Concentration Gradients. ACRI 2008: 385-392 - [c13]Marco Villani, Roberto Serra, Luca Ansaloni, David Lane:
Global and Local Processes in a Model of Innovation. ACRI 2008: 401-408 - [c12]Roberto Serra, Alex Graudenzi, Marco Villani:
Genetic Regulatory Networks and Neural Networks. WIRN 2008: 109-117 - 2006
- [j8]Massimo Andretta, Roberto Serra, Marco Villani:
A new model for polluted soil risk assessment. Comput. Geosci. 32(7): 890-896 (2006) - [c11]Marco Villani, Roberto Serra, P. Ingrami, Stuart A. Kauffman:
Coupled Random Boolean Network Forming an Artificial Tissue. ACRI 2006: 548-556 - [c10]Roberto Serra, Marco Villani:
Agents, Equations and All That: On the Role of Agents in Understanding Complex Systems. Reasoning, Action and Interaction in AI Theories and Systems 2006: 159-175 - 2004
- [j7]Roberto Serra, Marco Villani, Luca Agostini:
A Small-world Network Where All Nodes Have the Same Connectivity, with Application to the Dynamics of Boolean Interacting Automata. Complex Syst. 15(2) (2004) - [c9]Alessandro Semeria, Marco Villani, Roberto Serra, Stuart A. Kauffman:
Perturbation in Genetic Regulatory Networks: Simulation and Experiments. ACRI 2004: 533-542 - 2003
- [c8]Roberto Serra, Marco Villani, Alessandro Semeria:
Robustness to Damage of Biological and Synthetic Networks. ECAL 2003: 706-715 - [c7]Roberto Serra, Marco Villani, Luca Agostini:
On the Dynamics of Scale-Free Boolean Networks. WIRN 2003: 43-49 - 2002
- [j6]Roberto Serra, Marco Villani, Annamaria Colacci:
Differential Equations and Cellular Automata Models of the Growth of Cell Cultures and Transformation Foci. Complex Syst. 13(4) (2002) - [j5]Roberto Serra, Marco Villani, Anna Salvemini:
Erratum to "Continuous genetic networks". Parallel Comput. 28(4): 667 (2002) - [c6]Roberto Serra, Marco Villani:
Perturbing the Regular Topology of Cellular Automata: Implications for the Dynamics. ACRI 2002: 168-177 - 2001
- [j4]Roberto Serra, Marco Villani, Anna Salvemini:
Continuous genetic networks. Parallel Comput. 27(5): 663-683 (2001) - 2000
- [c5]Roberto Serra, Marco Villani, Annamaria Colacci:
A Cellular Automata Model for the Simulation of In Vitro Carcinogenesis Tests. ACRI 2000: 135-143 - [c4]Marco Villani, Mariangela Mazzanti, Marco Padovani, Massimo Andretta, Roberto Serra, Salvatore Di Gregorio, Rocco Rongo, William Spataro:
A New Dynamical Model of Biodegradation. ACRI 2000: 161-169
1990 – 1999
- 1999
- [j3]Salvatore Di Gregorio, Roberto Serra, Marco Villani:
Applying Cellular Automata to Complex Environmental Problems: The Simulation of the Bioremediation of Contaminated Soils. Theor. Comput. Sci. 217(1): 131-156 (1999) - [c3]Massimo Andretta, Mariangela Mazzanti, Roberto Serra, Marco Villani, Salvatore Di Gregorio, Rocco Rongo, William Spataro:
Cellular automata model for parallel simulation of contamination processes by oil in porous soils. PARCO 1999: 56-62 - 1997
- [j2]Salvatore Di Gregorio, Roberto Serra, Marco Villani:
A Cellular Automata Model of Soil Bioremediation. Complex Syst. 11(1) (1997) - 1996
- [c2]Salvatore Di Gregorio, Rocco Rongo, Roberto Serra, William Spataro, Marco Villani:
Simulation of Water Flow through a Porous Soil by Cellular Automaton Model. ACRI 1996: 79-88 - [c1]Salvatore Di Gregorio, Rocco Rongo, Roberto Serra, William Spataro, Giandomenico Spezzano, Domenico Talia, Marco Villani:
Parallel Simulation of Soil Contamination by Cellular Automata. Parcella 1996: 295-297 - 1995
- [j1]Francesco Vivarelli, G. Giusti, Marco Villani, Renato Campanini, Piero Fariselli, Mario Compiani, Rita Casadio:
LGANN: a parallel system combining a local genetic algorithm and neural networks for the prediction of secondary structure of proteins. Comput. Appl. Biosci. 11(3): 253-260 (1995)
Coauthor Index
[j29] [e4] [j27] [c64] [j26] [c62] [c61] [j25] [j24] [c60] [j23] [c58] [c57] [c56] [c55] [j22] [j21] [j20] [c52] [c51] [e2] [j19] [j18] [c50] [c49] [c48] [c47] [c46] [c45] [c44] [c43] [c42] [c41] [j17] [c40] [c39] [c38] [c37] [c36] [i3] [j16] [c35] [c34] [c33] [p2] [p1] [i2] [j15] [j14] [c32] [c31] [c30] [c29] [c28] [c27] [j13] [c26] [j12] [j11] [c25] [c24] [c23] [c22] [c21] [c20] [c19] [c18] [c17] [i1] [c16] [j9] [c15] [c14] [c13] [c12] [j8] [c11] [c10] [j7] [c9] [c8] [c7] [j6] [j5] [c6] [j4] [c5] [c4] [j3] [c3] [j2] [c2] [c1]
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