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Christian Beecks
Person information
- affiliation (since 2021): University of Hagen, Germany
- affiliation (since 2017): Fraunhofer Institute for Applied Information Technology FIT, Sankt Augustin, Germany
- affiliation (2018-2021): University of Münster, Germany
- affiliation (2007-2017): RWTH Aachen University, Germany
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2020 – today
- 2024
- [j9]Enrico Alberti
, Sergio Álvarez-Napagao
AI Lifecycle Zero-Touch Orchestration within the Edge-to-Cloud Continuum for Industry 5.0. Syst. 12(2): 48 (2024) - [c107]Emeka Ndupuechi, Christian Beecks:
Fault Detection in Transmission Production Lines Based on Imbalanced Multivariate Time Series. BigDataService 2024: 35-43 - [c106]Jan David Hüwel, Christian Beecks:
Discovering Structural Regularities in Time Series via Gaussian Processes. DSAA 2024: 1-10 - [c105]Georg Stefan Schlake, Christian Beecks:
Validating Arbitrary Shaped Clusters - A Survey. DSAA 2024: 1-12 - [c104]Jan David Hüwel, Christian Beecks:
Frequent Component Analysis for Large Time Series Databases with Gaussian Processes. EDBT 2024: 617-622 - [c103]Christian Beecks, Alexander Graß, Anandraj Amalraj, Marc Jentsch, Felix Kitschke, Maximilian Norz, Patric Schäffer:
Entwicklung einer KI für automatisierte Tierschutzkontrollen in der Schweineschlachtung. INFORMATIK 2024: 1463-1477 - [c102]Max Pernklau, Christian Beecks:
Towards Ptolemaic metric properties of the z-normalized Euclidean distance for multivariate time series indexing. ICDEW 2024: 153-157 - [c101]Christian Beecks, Anandraj Amalraj, Alexander Graß, Marc Jentsch, Felix Kitschke, Maximilian Norz, Patric Schäffer:
Leveraging YOLO for Real-Time Video Analysis of Animal Welfare in Pig Slaughtering Processes. KI 2024: 275-281 - [c100]Jan David Hüwel
Identifying Propagating Signals with Spatio-Temporal Clustering in Multivariate Time Series. SISAP 2024: 207-214 - [i2]Andreas Besginow, Jan David Hüwel, Thomas Pawellek, Christian Beecks, Markus Lange-Hegermann
On the Laplace Approximation as Model Selection Criterion for Gaussian Processes. CoRR abs/2403.09215 (2024) - 2023
- [c99]Alexander Graß, Christian Beecks, Sisay Adugna Chala, Christoph Lange, Stefan Decker:
A Knowledge Graph for Query-Induced Analyses of Hierarchically Structured Time Series Information. ADBIS (Short Papers) 2023: 174-184 - [c98]Andrea Linxen, Florian Endel, Simone Opel, Christian Beecks:
Knowledge Graphs for Competency-Based Education. IEEE Big Data 2023: 2942-2945 - [c97]Georg Stefan Schlake
Towards Automated Clustering. IEEE Big Data 2023: 6268-6270 - [c96]Andrea Linxen, Simone Opel
Prototyping a Virtual Tutor with Modular Teaching Styles. DELFI 2023: 56 - [c95]Jan David Hüwel
Gaussian Process Component Mining with the Apriori Algorithm. DEXA (2) 2023: 423-429 - [c94]Md. Rezaul Karim, Md Shajalal, Alexander Graß, Till Döhmen, Sisay Adugna Chala, Alexander Boden, Christian Beecks, Stefan Decker:
Interpreting Black-box Machine Learning Models for High Dimensional Datasets. DSAA 2023: 1-10 - [c93]Maike Holtkemper, Maria Potanin, Alexander Oberst, Christian Beecks:
Risk Identification of Data Science Projects: A Literature Review. LWDA 2023: 1-13 - 2022
- [j8]Fabian Berns, Jan David Hüwel, Christian Beecks:
Automated Model Inference for Gaussian Processes: An Overview of State-of-the-Art Methods and Algorithms. SN Comput. Sci. 3(4): 300 (2022) - [c92]Jan David Hüwel, Anne Gresch, Tim Berger, Martina Düfer, Christian Beecks:
Analysis of Extracellular Potential Recordings by High-Density Micro-electrode Arrays of Pancreatic Islets. DEXA (2) 2022: 270-276 - [c91]Jan David Hüwel, Anne Gresch, Fabian Berns, Ruben Koch, Martina Düfer, Christian Beecks:
Tracing Patterns in Electrophysiological Time Series Data. DSAA 2022: 1-10 - [c90]Georg Stefan Schlake
Evaluating the Lottery Ticket Hypothesis to Sparsify Neural Networks for Time Series Classification. ICDE Workshops 2022: 70-73 - [c89]Till Döhmen, Madelon Hulsebos, Christian Beecks, Sebastian Schelter
GitSchemas: A Dataset for Automating Relational Data Preparation Tasks. ICDE Workshops 2022: 74-78 - [c88]Alexander Graß, Till Döhmen, Christian Beecks:
Sample-based Kernel Structure Learning with Deep Neural Networks for Automated Structure Discovery. ICDE Workshops 2022: 79-83 - [c87]Christian Beecks, Fabian Berns, Jan David Hüwel, Andrea Linxen, Georg Stefan Schlake
A Comparative Performance Analysis of Fast K-Means Clustering Algorithms. iiWAS 2022: 119-125 - [c86]Jan David Hüwel
Dynamically Self-adjusting Gaussian Processes for Data Stream Modelling. KI 2022: 96-114 - [i1]Md. Rezaul Karim, Md Shajalal, Alexander Graß, Till Döhmen, Sisay Adugna Chala, Christian Beecks, Stefan Decker:
Interpreting Black-box Machine Learning Models for High Dimensional Datasets. CoRR abs/2208.13405 (2022) - 2021
- [c85]Jan David Hüwel, Fabian Berns, Christian Beecks:
Automated Kernel Search for Gaussian Processes on Data Streams. IEEE BigData 2021: 3584-3588 - [c84]Fabian Berns, Jan David Hüwel, Christian Beecks:
LOGIC: Probabilistic Machine Learning for Time Series Classification. ICDM 2021: 1000-1005 - [c83]Jan David Hüwel
On Kernel Search Based Gaussian Process Anomaly Detection. IN4PL (Revised Selected Papers) 2021: 1-23 - [c82]Sergio Álvarez-Napagao, Boki Ashmore, Marta Barroso, Cristian Barrué
knowlEdge Project -Concept, Methodology and Innovations for Artificial Intelligence in Industry 4.0. INDIN 2021: 1-7 - [c81]Fabian Berns
Stochastic Time Series Representation for Interval Pattern Mining via Gaussian Processes. SDM 2021: 10-18 - [c80]Fabian Berns
Complexity-Adaptive Gaussian Process Model Inference for Large-Scale Data. SDM 2021: 360-368 - [c79]Fabian Berns
Local Gaussian Process Model Inference Classification for Time Series Data. SSDBM 2021: 209-213 - 2020
- [c78]Fabian Berns
Automatic Gaussian Process Model Retrieval for Big Data. CIKM 2020: 1965-1968 - [c77]Fabian Berns
Towards Large-scale Gaussian Process Models for Efficient Bayesian Machine Learning. DATA 2020: 275-282 - [c76]Fabian Berns
Large-scale Retrieval of Bayesian Machine Learning Models for Time Series Data via Gaussian Processes. KDIR 2020: 71-80 - [c75]Fabian Berns
Machine Learning for Storage Location Prediction in Industrial High Bay Warehouses. ICPR Workshops (4) 2020: 650-661 - [c74]Fabian Berns
3CS Algorithm for Efficient Gaussian Process Model Retrieval. ICPR 2020: 1773-1780 - [c73]Fabian Berns
Towards Gaussian Processes for Automatic and Interpretable Anomaly Detection in Industry 4.0. IN4PL 2020: 87-92 - [c72]Vinoth Pandian Sermuga Pandian, Sarah Suleri, Christian Beecks, Matthias Jarke:
MetaMorph: AI Assistance to Transform Lo-Fi Sketches to Higher Fidelities. OZCHI 2020: 403-412
2010 – 2019
- 2019
- [c71]Christian Beecks, Fabian Berns
Ptolemaic Indexing for Managing and Querying Internet of Things (IoT) Data. IEEE BigData 2019: 4148-4151 - [c70]Fabian Berns
A New Approach for Efficient Structure Discovery in IoT. IEEE BigData 2019: 4152-4156 - [c69]Christian Beecks, Kjeld Willy Schmidt, Fabian Berns, Alexander Graß:
Gaussian Processes for Anomaly Description in Production Environments. EDBT/ICDT Workshops 2019 - [c68]Andreas Leibetseder, Bernd Münzer, Manfred Jürgen Primus, Sabrina Kletz, Klaus Schoeffmann, Fabian Berns
lifeXplore at the Lifelog Search Challenge 2019. LSC@ICMR 2019: 13-17 - [c67]Fabian Berns
V3C1 Dataset: An Evaluation of Content Characteristics. ICMR 2019: 334-338 - 2018
- [j7]Klaus Schoeffmann, Heinrich Husslein
Video retrieval in laparoscopic video recordings with dynamic content descriptors. Multim. Tools Appl. 77(13): 16813-16832 (2018) - [c66]Christian Beecks, Max Berrendorf
Optimal k-Nearest-Neighbor Query Processing via Multiple Lower Bound Approximations. IEEE BigData 2018: 614-623 - [c65]Christian Beecks, Alexander Grass, Shreekantha Devasya:
Metric Indexing for Efficient Data Access in the Internet of Things. IEEE BigData 2018: 5132-5136 - [c64]Christian Beecks, Alexander Grass:
Efficient Point-Based Pattern Search in 3D Motion Capture Databases. FiCloud 2018: 230-235 - [c63]Christian Beecks, Shreekantha Devasya, Ruben Schlutter:
Machine Learning for Enhanced Waste Quantity Reduction: Insights from the MONSOON Industry 4.0 Project. ML4CPS 2018: 1-6 - [c62]Alexander Graß, Christian Beecks, José Angel Carvajal Soto
Unsupervised Anomaly Detection in Production Lines. ML4CPS 2018: 18-25 - 2017
- [j6]Daniel Schüller, Christian Beecks, Marwan Hassani, Jennifer Hinnell, Bela Brenger, Thomas Seidl, Irene Mittelberg:
Automated Pattern Analysis in Gesture Research: Similarity Measuring in 3D Motion Capture Models of Communicative Action. Digit. Humanit. Q. 11(2) (2017) - [c61]Christian Beecks, Sabrina Kletz, Klaus Schoeffmann:
Large-Scale Endoscopic Image and Video Linking with Gradient-Based Signatures. BigMM 2017: 17-21 - [c60]Bernd Münzer, Manfred Jürgen Primus, Marco A. Hudelist, Christian Beecks, Wolfgang Hürst, Klaus Schoeffmann:
When content-based video retrieval and human computation unite: Towards effective collaborative video search. ICME Workshops 2017: 214-219 - [e2]Christian Beecks, Felix Borutta, Peer Kröger, Thomas Seidl:
Similarity Search and Applications - 10th International Conference, SISAP 2017, Munich, Germany, October 4-6, 2017, Proceedings. Lecture Notes in Computer Science 10609, Springer 2017, ISBN 978-3-319-68473-4 [contents] - 2016
- [j5]Christian Beecks, Marwan Hassani
Efficient Query Processing in 3D Motion Capture Gesture Databases. Int. J. Semantic Comput. 10(1): 5-26 (2016) - [c59]Christian Beecks, Alexander Graß:
Multi-step threshold algorithm for efficient feature-based query processing in large-scale multimedia databases. IEEE BigData 2016: 596-605 - [c58]Merih Seran Uysal, Christian Beecks, Daniel Sabinasz, Jochen Schmücking, Thomas Seidl
Efficient Query Processing using the Earth's Mover Distance in Video Databases. EDBT 2016: 389-400 - [c57]Christian Beecks, Merih Seran Uysal, Thomas Seidl
Distance-based Multimedia Indexing. EDBT 2016: 722-723 - [c56]Tom De Nies, Christian Beecks, Fréderic Godin, Wesley De Neve, Grzegorz Stepien, Dörthe Arndt, Laurens De Vocht, Ruben Verborgh
Normalized Semantic Web Distance. ESWC 2016: 69-84 - [c55]Laurens De Vocht, Christian Beecks, Ruben Verborgh
Effect of Heuristics on Serendipity in Path-Based Storytelling with Linked Data. HCI (4) 2016: 238-251 - [c54]Klaus Schoeffmann, Christian Beecks, Mathias Lux, Merih Seran Uysal, Thomas Seidl
Content-based retrieval in videos from laparoscopic surgery. Medical Imaging: Image-Guided Procedures 2016: 97861V - [c53]Wolfgang Hürst, Algernon Ip Vai Ching, Marco A. Hudelist, Manfred Jürgen Primus, Klaus Schoeffmann, Christian Beecks:
A New Tool for Collaborative Video Search via Content-based Retrieval and Visual Inspection. ACM Multimedia 2016: 731-732 - [c52]Marco A. Hudelist, Claudiu Cobârzan, Christian Beecks, Rob van de Werken, Sabrina Kletz, Wolfgang Hürst, Klaus Schoeffmann:
Collaborative Video Search Combining Video Retrieval with Human-Based Visual Inspection. MMM (2) 2016: 400-405 - [c51]Marco A. Hudelist, Christian Beecks, Klaus Schoeffmann:
Finding the chameleon in your video collection. MMSys 2016: 31:1-31:4 - [c50]Tom De Nies, Christian Beecks, Fréderic Godin, Wesley De Neve, Grzegorz Stepien, Dörthe Arndt, Laurens De Vocht, Ruben Verborgh
A Distance-Based Approach for Semantic Dissimilarity in Knowledge Graphs. ICSC 2016: 254-257 - 2015
- [c49]Christian Beecks, Merih Seran Uysal, Thomas Seidl
Gradient-based signatures for big multimedia data. IEEE BigData 2015: 2834-2835 - [c48]Daniel Töws, Marwan Hassani, Christian Beecks, Thomas Seidl:
Optimizing Sequential Pattern Mining Within Multiple Streams. BTW Workshops 2015: 223-232 - [c47]Christian Beecks, Merih Seran Uysal, Thomas Seidl:
Distance-based Multimedia Indexing. BTW Workshops 2015: 265-268 - [c46]Marwan Hassani, Christian Beecks, Daniel Töws, Tatiana Serbina, Max Haberstroh, Paula Niemietz, Sabina Jeschke, Stella Neumann, Thomas Seidl:
Sequential Pattern Mining of Multimodal Streams in the Humanities. BTW 2015: 683-686 - [c45]Merih Seran Uysal, Christian Beecks, Thomas Seidl
On efficient content-based near-duplicate video detection. CBMI 2015: 1-6 - [c44]Merih Seran Uysal, Christian Beecks, Daniel Sabinasz, Thomas Seidl
Large-scale Efficient and Effective Video Similarity Search. LSDS-IR@CIKM 2015: 3-8 - [c43]Christian Beecks, Merih Seran Uysal, Judith Hermanns, Thomas Seidl
Gradient-based Signatures for Efficient Similarity Search in Large-scale Multimedia Databases. CIKM 2015: 1241-1250 - [c42]Laurens De Vocht, Christian Beecks, Ruben Verborgh
Improving Semantic Relatedness in Paths for Storytelling with Linked Data on the Web. ESWC (Satellite Events) 2015: 31-35 - [c41]Christian Beecks, Marwan Hassani
Efficient Distance-Based Gestural Pattern Mining in Spatiotemporal 3D Motion Capture Databases. ICDM Workshops 2015: 1425-1432 - [c40]Christian Beecks, Klaus Schoeffmann, Mathias Lux, Merih Seran Uysal, Thomas Seidl
Endoscopic Video Retrieval: A Signature-Based Approach for Linking Endoscopic Images with Video Segments. ISM 2015: 33-38 - [c39]Christian Beecks, Marwan Hassani
Efficient Query Processing in 3D Motion Capture Databases via Lower Bound Approximation of the Gesture Matching Distance. ISM 2015: 148-153 - [c38]Christian Beecks, Merih Seran Uysal, Thomas Seidl
Earth Mover's Distance vs. Quadratic form Distance: An Analytical and Empirical Comparison. ISM 2015: 233-236 - [c37]Merih Seran Uysal, Christian Beecks, Daniel Sabinasz, Thomas Seidl
Effective Content-Based Near-Duplicate Video Detection. ISM 2015: 254-257 - [c36]Marwan Hassani, Christian Beecks, Daniel Töws, Thomas Seidl:
Mining Sequential Patterns of Event Streams in a Smart Home Application. LWA 2015: 159-170 - [c35]Christian Beecks, Merih Seran Uysal, Thomas Seidl:
Content-Based Image Retrieval with Gaussian Mixture Models. MMM (1) 2015: 294-305 - [c34]Merih Seran Uysal, Christian Beecks, Daniel Sabinasz, Thomas Seidl
FELICITY: A Flexible Video Similarity Search Framework Using the Earth Mover's Distance. SISAP 2015: 347-350 - [c33]Christian Beecks, Marwan Hassani
Spatiotemporal Similarity Search in 3D Motion Capture Gesture Streams. SSTD 2015: 355-372 - [c32]Merih Seran Uysal, Christian Beecks, Jochen Schmücking, Thomas Seidl
Efficient similarity search in scientific databases with feature signatures. SSDBM 2015: 30:1-30:12 - 2014
- [j4]Christian Beecks, Steffen Kirchhoff, Thomas Seidl
On stability of signature-based similarity measures for content-based image retrieval. Multim. Tools Appl. 71(1): 349-362 (2014) - [c31]Tom De Nies, Christian Beecks, Wesley De Neve, Thomas Seidl
Towards Named-Entity-based Similarity Measures: Challenges and Opportunities. ESAIR 2014: 9-11 - [c30]Merih Seran Uysal, Christian Beecks, Thomas Seidl
On Efficient Query Processing with the Earth Mover's Distance. PIKM@CIKM 2014: 25-32 - [c29]Merih Seran Uysal, Christian Beecks, Jochen Schmücking, Thomas Seidl
Efficient Filter Approximation Using the Earth Mover's Distance in Very Large Multimedia Databases with Feature Signatures. CIKM 2014: 979-988 - [c28]Fréderic Godin, Tom De Nies, Christian Beecks, Laurens De Vocht, Wesley De Neve, Erik Mannens
The Normalized Freebase Distance. ESWC (Satellite Events) 2014: 218-221 - [c27]Christian Beecks, Steffen Kirchhoff, Thomas Seidl:
On the Stability of Signature-Based Distance Functions for Content-Based Image Retrieval. LWA 2014: 226 - [e1]Thomas Seidl, Marwan Hassani, Christian Beecks:
Proceedings of the 16th LWA Workshops: KDML, IR and FGWM, Aachen, Germany, September 8-10, 2014. CEUR Workshop Proceedings 1226, CEUR-WS.org 2014 [contents] - 2013
- [b1]Christian Beecks:
Distance based similarity models for content based multimedia retrieval. RWTH Aachen University, 2013, pp. 1-204 - [j3]Magnus Lie Hetland, Tomás Skopal
Ptolemaic access methods: Challenging the reign of the metric space model. Inf. Syst. 38(7): 989-1006 (2013) - [c26]Christian Beecks, Merih Seran Uysal, Philip Driessen, Thomas Seidl
Content-based exploration of multimedia databases. CBMI 2013: 59-64 - [c25]Christian Beecks, Steffen Kirchhoff, Thomas Seidl
Signature matching distance for content-based image retrieval. ICMR 2013: 41-48 - 2012
- [j2]Martin Krulis
Combining CPU and GPU architectures for fast similarity search. Distributed Parallel Databases 30(3-4): 179-207 (2012) - [j1]Anca Maria Ivanescu, Marc Wichterich, Christian Beecks, Thomas Seidl
The ClasSi coefficient for the evaluation of ranking quality in the presence of class similarities. Frontiers Comput. Sci. 6(5): 568-580 (2012) - [c24]Christian Beecks, Thomas Seidl
On Stability of Adaptive Similarity Measures for Content-Based Image Retrieval. MMM 2012: 346-357 - 2011
- [c23]Martin Krulis
Processing the signature quadratic form distance on many-core GPU architectures. CIKM 2011: 2373-2376 - [c22]Christian Beecks, Anca Maria Ivanescu, Steffen Kirchhoff, Thomas Seidl
Modeling image similarity by Gaussian mixture models and the Signature Quadratic Form Distance. ICCV 2011: 1754-1761 - [c21]Christian Beecks, Thomas Seidl
Analyzing the inner workings of the Signature Quadratic Form Distance. ICME 2011: 1-6 - [c20]Klaus Schoeffmann, David Ahlström, Christian Beecks:
3D Image Browsing on Mobile Devices. ISM 2011: 335-336 - [c19]Christian Beecks, Jakub Lokoc
Indexing the signature quadratic form distance for efficient content-based multimedia retrieval. ICMR 2011: 24 - [c18]Christian Beecks, Anca Maria Ivanescu, Steffen Kirchhoff, Thomas Seidl
Modeling multimedia contents through probabilistic feature signatures. ACM Multimedia 2011: 1433-1436 - [c17]Christian Beecks, Ira Assent
Content-Based Multimedia Retrieval in the Presence of Unknown User Preferences. MMM (1) 2011: 140-150 - [c16]Christian Beecks, Merih Seran Uysal, Thomas Seidl
L2-Signature Quadratic Form Distance for Efficient Query Processing in Very Large Multimedia Databases. MMM (1) 2011: 381-391 - [c15]Jakub Lokoc
Ptolemaic indexing of the signature quadratic form distance. SISAP 2011: 9-16 - [c14]Christian Beecks, Anca Maria Ivanescu, Thomas Seidl
Applying similarity search for the investigation of the fuel injection process. SISAP 2011: 117-118 - [c13]Jakub Lokoc
Parameterized earth mover's distance for efficient metric space indexing. SISAP 2011: 121-122 - 2010
- [c12]Christian Beecks, Merih Seran Uysal, Thomas Seidl
Signature Quadratic Form Distance. CIVR 2010: 438-445 - [c11]Christian Beecks, Merih Seran Uysal, Thomas Seidl
Efficient k-nearest neighbor queries with the Signature Quadratic Form Distance. ICDE Workshops 2010: 10-15 - [c10]Christian Beecks, Thilo Stadelmann, Bernd Freisleben
Visual speaker model exploration. ICME 2010: 727-728 - [c9]Christian Beecks, Merih Seran Uysal, Thomas Seidl
A comparative study of similarity measures for content-based multimedia retrieval. ICME 2010: 1552-1557 - [c8]Christian Beecks, Sascha Wiedenfeld, Thomas Seidl
Improving the Efficiency of Content-Based Multimedia Exploration. ICPR 2010: 3163-3166 - [c7]Christian Beecks, Philip Driessen, Thomas Seidl
Index support for content-based multimedia exploration. ACM Multimedia 2010: 999-1002 - [c6]Christian Beecks, Merih Seran Uysal, Thomas Seidl
Similarity matrix compression for efficient signature quadratic form distance computation. SISAP 2010: 109-114
2000 – 2009
- 2009
- [c5]Marc Wichterich, Christian Beecks, Martin Sundermeyer, Thomas Seidl
Relevance Feedback for the Earth Mover's Distance. Adaptive Multimedia Retrieval 2009: 72-86 - [c4]Christian Beecks, Marc Wichterich, Thomas Seidl:
Metrische Anpassung der Earth Mover's Distanz zur Ähnlichkeitssuche in Multimedia-Datenbanken. BTW 2009: 207-216 - [c3]Marc Wichterich, Christian Beecks, Martin Sundermeyer, Thomas Seidl
Exploring multimedia databases via optimization-based relevance feedback and the earth mover's distance. CIKM 2009: 1621-1624 - [c2]Christian Beecks, Merih Seran Uysal, Thomas Seidl
Signature quadratic form distances for content-based similarity. ACM Multimedia 2009: 697-700 - 2008
- [c1]Marc Wichterich, Christian Beecks, Thomas Seidl
Ranking multimedia databases via relevance feedback with history and foresight support. ICDE Workshops 2008: 596-599
Coauthor Index
Alexander Graß
aka: Alexander Grass
aka: Alexander Grass
Klaus Schöffmann
aka: Klaus Schoeffmann
aka: Klaus Schoeffmann
[j6] [e2] [j5] [c58] [c57] [c56] [c55] [c54] [c50] [c49] [c48] [c47] [c46] [c45] [c44] [c43] [c42] [c41] [c40] [c39] [c38] [c37] [c36] [c35] [c34] [c33] [c32] [j4] [c31] [c30] [c29] [c28] [c27] [e1] [c26] [c25] [j1] [c24] [c23] [c22] [c21] [c19] [c18] [c17] [c16] [c14] [c13] [c12] [c11] [c10] [c9] [c8] [c7] [c6] [c5] [c4] [c3] [c2] [c1]
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