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Publications about '_Triangulations_'
Books and proceedings
  1. Monique Teillaud. Towards dynamic randomized algorithms in computational geometry, volume 758 of Lecture Notes in Computer Science. Springer-Verlag, 1993. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_, _Arrangements_.


Thesis
  1. Monique Teillaud. -- Géométrie algorithmique -- De la théorie à la pratique, Des objets linéaires aux objets courbes. / -- Computational geometry -- From theory to practice, From linear objects to curved objects. Habilitation à diriger des recherches, Université de Nice Sophia Antipolis, 2007. [WWW] Keyword(s): _Triangulations_, _Other_geometries_, _Conics/Quadrics_, _Robustness_, _Arrangements_, _CGAL_.


  2. Monique Teillaud. Vers des algorithmes randomisés dynamiques en géométrie algorithmique. Thèse de Doctorat en Sciences, Université Paris-Sud, Orsay, France, 1991. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_, _Arrangements_.


Articles in journal, book chapters
  1. Manuel Caroli and Monique Teillaud. Delaunay triangulations of closed Euclidean d-orbifolds. Discrete & Computational Geometry, 55(4):827-853, 2016. [WWW] [doi:10.1007/s00454-016-9782-6] Keyword(s): _Other_geometries_, _Triangulations_.


  2. Mikhail Bogdanov, Olivier Devillers, and Monique Teillaud. Hyperbolic Delaunay complexes and Voronoi diagrams made practical. Journal of Computational Geometry, 5:56-85, 2014. Note: Http://hal.inria.fr/hal-00961390. [doi:10.20382/jocg.v5i1a4] Keyword(s): _Other_geometries_, _Triangulations_.


  3. Olivier Devillers and Monique Teillaud. Perturbations for Delaunay and weighted Delaunay 3D Triangulations. Computational Geometry: Theory and Applications, 44:160-168, 2011. [WWW] [doi:10.1016/j.comgeo.2010.09.010] Keyword(s): _CGAL_, _Triangulations_, _Robustness_.


  4. Manuel Caroli and Monique Teillaud. 3D Periodic Triangulations. In CGAL Editorial Board, editor, CGAL User and Reference Manual. 3.5 -- 4.5 edition, 2009 -- 2014. [WWW] Keyword(s): _CGAL-manual_, _Other_geometries_, _Triangulations_.


  5. Jean-Daniel Boissonnat, Olivier Devillers, Sylvain Pion, Monique Teillaud, and Mariette Yvinec. Triangulations in CGAL. Computational Geometry: Theory and Applications, 22:5-19, 2002. [WWW] Keyword(s): _CGAL_, _Triangulations_.


  6. Bernard Chazelle, Olivier Devillers, Ferran Hurtado, Mercè Mora, Vera Sacristán, and Monique Teillaud. Splitting a Delaunay Triangulation in Linear Time. Algorithmica, 34:39-46, 2002. [WWW] Keyword(s): _Triangulations_, _Randomized_algorithms_.


  7. Olivier Devillers, Sylvain Pion, and Monique Teillaud. Walking in a triangulation. International Journal on Foundations of Computer Science, 13:181-199, 2002. Note: Special issue on triangulations. [WWW] Keyword(s): _CGAL_, _Triangulations_.


  8. Sylvain Pion and Monique Teillaud. 3D Triangulation Data Structure. In CGAL Editorial Board, editor, CGAL User and Reference Manual. 2.3 -- 4.5 edition, 2001 -- 2014. [WWW] Keyword(s): _CGAL-manual_, _Triangulations_.


  9. Sylvain Pion and Monique Teillaud. 3D Triangulations. In CGAL Editorial Board, editor, CGAL User and Reference Manual. 2.3 -- 4.5 edition, 2001 -- 2014. [WWW] Keyword(s): _CGAL-manual_, _Triangulations_.


  10. Monique Teillaud. 3D Triangulation Data Structure. In CGAL Editorial Board, editor, CGAL User and Reference Manual. 2.1 and 2.2 edition, 2000. Keyword(s): _CGAL-manual_, _Triangulations_.


  11. Monique Teillaud. 3D Triangulations. In CGAL Editorial Board, editor, CGAL User and Reference Manual. 2.1 and 2.2 edition, 2000. Keyword(s): _CGAL-manual_, _Triangulations_.


  12. Jean-Daniel Boissonnat, André Cérézo, Olivier Devillers, and Monique Teillaud. Output-sensitive construction of the Delaunay triangulation of points lying in two planes. International Journal of Computational Geometry and Applications, 6(1):1-14, 1996. [PDF] Keyword(s): _Other_geometries_, _Triangulations_.


  13. Jean-Daniel Boissonnat, Olivier Devillers, and Monique Teillaud. A semidynamic construction of higher-order Voronoi diagrams and its randomized analysis. Algorithmica, 9:329-356, 1993. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_.


  14. Jean-Daniel Boissonnat and Monique Teillaud. On the randomized construction of the Delaunay tree. Theoretical Computer Science, 112:339-354, 1993. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_.


  15. Jean-Daniel Boissonnat, Olivier Devillers, René Schott, Monique Teillaud, and Mariette Yvinec. Applications of random sampling to on-line algorithms in computational geometry. Discrete & Computational Geometry, 8:51-71, 1992. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_, _Arrangements_.


  16. Olivier Devillers, Stefan Meiser, and Monique Teillaud. Fully dynamic Delaunay triangulation in logarithmic expected time per operation. Computational Geometry: Theory and Applications, 2(2):55-80, 1992. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_.


Conference articles
  1. Iordan Iordanov and Monique Teillaud. Implementing Delaunay triangulations of the Bolza surface. In Proceedings of the Thirty-third International Symposium on Computational Geometry, pages 44:1-44:15, 2017. [WWW] [doi:10.4230/LIPIcs.SoCG.2017.44] Keyword(s): _Other_geometries_, _Triangulations_, _CGAL_.


  2. Mikhail Bogdanov, Monique Teillaud, and Gert Vegter. Delaunay triangulations on orientable surfaces of low genus. In Proceedings of the Thirty-second International Symposium on Computational Geometry, pages 20:1-20:17, 2016. [WWW] [doi:10.4230/LIPIcs.SoCG.2016.20] Keyword(s): _Other_geometries_, _Triangulations_.


  3. Mikhail Bogdanov, Manuel Caroli, and Monique Teillaud. Computing Periodic Triangulations. In Shape up - Exercises in Materials Geometry and Topology, Berlin, Germany, pages 60-61, 2015. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  4. Mikhail Bogdanov and Monique Teillaud. Voronoi diagrams and Bolza surface. In Workshop on Geometric Structures with Symmetry and Periodicity, 2014. Note: Computational Geometry Week, Kyoto, http://www-sop.inria.fr/geometrica/events/wocg14-symmetry_and_periodicity/. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  5. Mikhail Bogdanov, Olivier Devillers, and Monique Teillaud. Hyperbolic Delaunay complexes and Voronoi diagrams made practical. In Proceedings 29th Annual Symposium on Computational Geometry, pages 67-76, 2013. [WWW] Keyword(s): _Other_geometries_, _Triangulations_, _CGAL_.


  6. Mikhail Bogdanov, Olivier Devillers, and Monique Teillaud. Tiling the hyperbolic plane. In Bending Reality: Where art and science meet, 2013. Note: In association with Dagstuhl Seminar 13151 on Drawing Graphs and Maps with Curves, http://www.dagstuhl.de/en/ueber-dagstuhl/kunst/bending-reality/. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  7. Mikhail Bogdanov, Monique Teillaud, and Gert Vegter. Covering spaces and Delaunay triangulations of the 2D flat torus. In Abstracts 28th European Workshop on Computational Geometry, 2012. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  8. Johan Hidding, Rien van de Weygaert, Gert Vegter, Bernard J.T. Jones, and Monique Teillaud. Video: The Sticky Geometry of the Cosmic Web. In Proceedings 28th Annual Symposium on Computational Geometry, pages 421-422, 2012. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  9. Mikhail Bogdanov, Olivier Devillers, and Monique Teillaud. Hyperbolic Delaunay triangulations and Voronoi diagrams made practical. In Abstracts XIV Spanish Meeting on Computational Geometry, pages 113-116, 2011. [PDF] Keyword(s): _Other_geometries_, _Triangulations_, _CGAL_.


  10. Manuel Caroli and Monique Teillaud. Delaunay Triangulations of Point Sets in Closed Euclidean $d$-Manifolds. In Proceedings 27th Annual Symposium on Computational Geometry, pages 274-282, 2011. [WWW] [doi:10.1145/1998196.1998236] Keyword(s): _Other_geometries_, _Triangulations_.


  11. Andreas Fabri and Monique Teillaud. CGAL, The Computational Geometry Algorithms Library. In 10ème Colloque National en Calcul des Structures, 2011. Keyword(s): _CGAL_, _Triangulations_, _Other_geometries_.


  12. Rien van de Weygaert, Gert Vegter, Herbert Edelsbrunner, Bernard J.T. Jones, Pratyush Pranav, Changbom Park, Wojciech A. Hellwing, Bob Eldering, Nico Kruithof, E.G.P. (Patrick) Bos, Johan Hidding, Job Feldbrugge, Eline ten Have, Matti van Engelen, Manuel Caroli, and Monique Teillaud. Alpha, Betti and the Megaparsec Universe: on the Homology and Topology of the Cosmic Web. In Transactions on Computational Science XIV, volume 6970 of Lecture Notes in Computer Science, pages 60-101, 2011. Springer-Verlag. [doi:10.1007/978-3-642-25249-5_3] Keyword(s): _Triangulations_, _Other_geometries_.


  13. Manuel Caroli, Vissarion Fisikopoulos, and Monique Teillaud. Meshing of Triply-Periodic Surfaces in CGAL. In Seventh International Conference on Curves and Surfaces, 2010. Note: Poster presentation. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  14. Manuel Caroli and Monique Teillaud. Delaunay Triangulations of Point Sets in Closed Euclidean $d$-Manifolds. In Abstracts 26th European Workshop on Computational Geometry, pages 101-104, 2010. [PDF] Keyword(s): _Other_geometries_, _Triangulations_.


  15. Manuel Caroli, Pedro M. M. de Castro, Sébastien Loriot, Olivier Rouiller, Monique Teillaud, and Camille Wormser. Robust and Efficient Delaunay Triangulations of Points on or Close to a Sphere. In 9th International Symposium on Experimental Algorithms, volume 6049 of Lecture Notes in Computer Science, pages 462-473, 2010. [WWW] [doi:10.1007/978-3-642-13193-6_39] Keyword(s): _Other_geometries_, _Triangulations_.


  16. Oswin Aichholzer, Franz Aurenhammer, Olivier Devillers, Thomas Hackl, Monique Teillaud, and Birgit Vogtenhuber. Lower and upper bounds on the number of empty cylinders and ellipsoids. In Abstracts 25th European Workshop on Computational Geometry, Brussels, Belgium, pages 139-142, 2009. [WWW] Keyword(s): _misc_, _Triangulations_.


  17. Manuel Caroli and Monique Teillaud. Computing 3D Periodic Triangulations. In Proceedings 17th European Symposium on Algorithms, volume 5757 of Lecture Notes in Computer Science, pages 59-70, 2009. [WWW] [doi:10.1007/978-3-642-04128-0_6] Keyword(s): _Other_geometries_, _Triangulations_.


  18. Manuel Caroli, Nico Kruithof, and Monique Teillaud. Decoupling the CGAL 3D Triangulations from the Underlying Space. In Workshop on Algorithm Engineering and Experiments, pages 101-108, 2008. [PDF] Keyword(s): _Other_geometries_, _CGAL_, _Triangulations_.


  19. Manuel Caroli, Nico Kruithof, and Monique Teillaud. Triangulating the 3D periodic space. In Abstracts 24th European Workshop on Computational Geometry, pages 229-232, 2008. [PDF] Keyword(s): _Other_geometries_, _Triangulations_.


  20. Manuel Caroli and Monique Teillaud. Video: On the Computation of 3D Periodic Triangulations. In Proceedings 24th Annual Symposium on Computational Geometry, pages 222-223, 2008. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  21. Mridul Aanjaneya and Monique Teillaud. Triangulating the Real Projective Plane. In Mathematical Aspects of Computer and Information Sciences, 2007. [PDF] Keyword(s): _Other_geometries_, _Triangulations_.


  22. Olivier Devillers and Monique Teillaud. Perturbations and Vertex Removal in a 3D Delaunay Triangulation. In Proceedings 14th ACM-SIAM Symposium on Discrete Algorithms, pages 313-319, 2003. [WWW] Keyword(s): _CGAL_, _Triangulations_, _Robustness_.


  23. Bernard Chazelle, Olivier Devillers, Ferran Hurtado, Mercè Mora, Vera Sacristán, and Monique Teillaud. Splitting a Delaunay Triangulation in Linear Time. In Proceedings 9th European Symposium on Algorithms, volume 2161 of Lecture Notes in Computer Science, pages 312-320, 2001. Springer-Verlag. Keyword(s): _Triangulations_, _Randomized_algorithms_.


  24. Olivier Devillers, Sylvain Pion, and Monique Teillaud. Walking in a triangulation. In Proceedings 17th Annual Symposium on Computational Geometry, pages 106-114, 2001. [WWW] Keyword(s): _CGAL_, _Triangulations_.


  25. Jean-Daniel Boissonnat, Olivier Devillers, Monique Teillaud, and Mariette Yvinec. Triangulations in CGAL. In Proceedings 16th Annual Symposium on Computational Geometry, pages 11-18, 2000. Keyword(s): _CGAL_, _Triangulations_.


  26. Jean-Daniel Boissonnat, Frédéric Cazals, Frank Da, Olivier Devillers, Sylvain Pion, François Rebufat, Monique Teillaud, and Mariette Yvinec. Programming with CGAL: The Example of Triangulations. In Proceedings 15th Annual Symposium on Computational Geometry (Short communication), pages 421-423, 1999. [POSTSCRIPT] Keyword(s): _CGAL_, _Triangulations_.


  27. Monique Teillaud. Three Dimensional Triangulations in CGAL. In Abstracts 15th European Workshop on Computational Geometry, pages 175-178, 1999. INRIA Sophia-Antipolis. [POSTSCRIPT] Keyword(s): _CGAL_, _Triangulations_.


  28. Olivier Devillers, Stefan Meiser, and Monique Teillaud. The Space of Spheres, a Geometric Tool to Unify Duality Results on Voronoi Diagrams. In Abstracts 8th European Workshop on Computational Geometry, pages 45-49, 1992. Utrecht University. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  29. Olivier Devillers, Stefan Meiser, and Monique Teillaud. The space of spheres, a geometric tool to unify duality results on Voronoi diagrams. In Proceedings 4th Canadian Conference on Computational Geometry, pages 263-268, 1992. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  30. Jean-Daniel Boissonnat, André Cérézo, Olivier Devillers, and Monique Teillaud. Output-sensitive construction of the $3$-d Delaunay triangulation of constrained sets of points. In Proceedings 3rd Canadian Conference on Computational Geometry, pages 110-113, 1991. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  31. Jean-Daniel Boissonnat, Olivier Devillers, René Schott, Monique Teillaud, and Mariette Yvinec. On-line geometric algorithms with good expected behaviours. In Proceedings 13th World Congress on Computation and Applied Mathematics, pages 137-139, 1991. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_, _Arrangements_.


  32. Olivier Devillers, Stefan Meiser, and Monique Teillaud. Fully dynamic Delaunay triangulation in logarithmic expected time per operation. In Proceedings 2nd Workshop on Algorithms and Data Structures, volume 519 of Lecture Notes in Computer Science, pages 42-53, 1991. Springer-Verlag. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_.


  33. Jean-Daniel Boissonnat, Olivier Devillers, and Monique Teillaud. An on-line construction of higher-order Voronoi diagrams and its randomized analysis. In Proceedings 2nd Canadian Conference on Computational Geometry, pages 278-281, 1990. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_.


  34. Jean-Daniel Boissonnat and Monique Teillaud. A hierarchical representation of objects: the Delaunay tree. In Proceedings 2nd Annual Symposium on Computational Geometry, pages 260-268, 1986. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_.


Research reports
  1. Iordan Iordanov and Monique Teillaud. Implementing Delaunay triangulations of the Bolza surface. Research Report 8994, INRIA, 2016. [WWW] Keyword(s): _Other_geometries_, _Triangulations_, _CGAL_.


  2. Mikhail Bogdanov and Monique Teillaud. Delaunay triangulations and cycles on closed hyperbolic surfaces. Research Report 8434, INRIA, December 2013. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  3. Rien van de Weygaert, Gert Vegter, Herbert Edelsbrunner, Bernard J.T. Jones, Pratyush Pranav, Changbom Park, Wojciech A. Hellwing, Bob Eldering, Nico Kruithof, E.G.P., Johan Hidding, Job Feldbrugge, Eline ten Have, Matti van Engelen, Manuel Caroli, and Monique Teillaud. Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web. Research Report, 2013. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  4. Mikhail Bogdanov, Olivier Devillers, and Monique Teillaud. Hyperbolic Delaunay complexes and Voronoi diagrams made practical. Research Report 8146, INRIA, 2012. [WWW] Keyword(s): _Other_geometries_, _Triangulations_, _CGAL_.


  5. Olivier Devillers, Menelaos I. Karavelas, and Monique Teillaud. Qualitative Symbolic Perturbation: a new geometry-based perturbation framework. Research Report 8153, INRIA, 2012. [WWW] Keyword(s): _Robustness_, _Triangulations_.


  6. Mathieu Schmitt and Monique Teillaud. Meshing the hyperbolic octagon. Research Report 8179, INRIA, 2012. [WWW] Keyword(s): _Other_geometries_, _Triangulations_, _CGAL_.


  7. Rien van de Weygaert, Pratyush Pranav, Bernard J.T. Jones, E.G. Patrick Bos, Gert Vegter, Herbert Edelsbrunner, Monique Teillaud, Wojciech A. Hellwing, Changbom Park, Johan Hidding, and Mathijs Wintraecken. Probing Dark Energy with Alpha Shapes and Betti Numbers. Research Report, 2011. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  8. Pierre Alliez, Christophe Delage, Menelaos I. Karavelas, Sylvain Pion, Monique Teillaud, and Mariette Yvinec. Delaunay Tessellations and Voronoi Diagrams in CGAL. Technical report, 2010. [WWW] Keyword(s): _CGAL_, _Triangulations_.


  9. Manuel Caroli and Monique Teillaud. Delaunay Triangulations of Point Sets in Closed Euclidean $d$-Manifolds. Research Report 7352, INRIA, 2010. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  10. Manuel Caroli and Monique Teillaud. Computing 3D Periodic Triangulations. Research Report 6823, INRIA, 2009. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  11. Manuel Caroli, Pedro M. M. de Castro, Sébastien Loriot, Olivier Rouiller, Monique Teillaud, and Camille Wormser. Robust and Efficient Delaunay Triangulations of Points on or Close to a Sphere. Research Report 7004, INRIA, 2009. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  12. Oswin Aichholzer, Franz Aurenhammer, Olivier Devillers, Thomas Hackl, Monique Teillaud, and Birgit Vogtenhuber. Counting Quadrics and Delaunay Triangulations and a new Convex Hull Theorem. Research Report 6748, INRIA, 2008. [WWW] Keyword(s): _misc_, _Triangulations_.


  13. Mridul Aanjaneya and Monique Teillaud. Triangulating the Real Projective Plane. Research Report 6296, INRIA, 09 2007. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  14. Manuel Caroli, Nico Kruithof, and Monique Teillaud. Decoupling the CGAL 3D Triangulations from the Underlying Space. Research Report 6318, INRIA, 10 2007. [WWW] Keyword(s): _Other_geometries_, _CGAL_, _Triangulations_.


  15. Olivier Devillers and Monique Teillaud. Perturbations and Vertex Removal in Delaunay and Regular 3D Triangulations. Research Report 5968, INRIA, 2006. [WWW] Keyword(s): _CGAL_, _Triangulations_, _Robustness_.


  16. Olivier Devillers and Monique Teillaud. Perturbations and Vertex Removal in a 3D Delaunay Triangulation. Research Report 4624, INRIA, 2002. [WWW] Keyword(s): _CGAL_, _Triangulations_, _Robustness_.


  17. Bernard Chazelle, Olivier Devillers, Ferran Hurtado, Mercè Mora, Vera Sacristán, and Monique Teillaud. Splitting a Delaunay Triangulation in Linear Time. Research Report 4160, INRIA, 2001. [WWW] Keyword(s): _Triangulations_, _Randomized_algorithms_.


  18. Olivier Devillers, Sylvain Pion, and Monique Teillaud. Walking in a triangulation. Research Report 4120, INRIA, 2001. [WWW] Keyword(s): _CGAL_, _Triangulations_.


  19. Olivier Devillers, Stefan Meiser, and Monique Teillaud. The space of spheres, a geometric tool to unify duality results on Voronoi diagrams. Research Report 1620, INRIA, Valbonne, France, 1992. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  20. Monique Teillaud. Towards dynamic randomized algorithms in computational geometry. Research Report 1727, INRIA, 1992. Note: English version of a French thesis. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_, _Arrangements_.


  21. Jean-Daniel Boissonnat, André Cérézo, Olivier Devillers, and Monique Teillaud. Output-sensitive construction of the $3$-d Delaunay triangulation of constrained sets of points. Research Report 1415, INRIA, April 1991. [WWW] Keyword(s): _Other_geometries_, _Triangulations_.


  22. Olivier Devillers, Stefan Meiser, and Monique Teillaud. Fully dynamic Delaunay triangulation in logarithmic expected time per operation. Research Report 1349, INRIA, 1991. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_.


  23. Jean-Daniel Boissonnat, Olivier Devillers, René Schott, Monique Teillaud, and Mariette Yvinec. Applications of random sampling to on-line algorithms in computational geometry. Research Report 1285, INRIA, 1990. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_, _Arrangements_.


  24. Jean-Daniel Boissonnat, Olivier Devillers, and Monique Teillaud. A dynamic construction of higher-order Voronoi diagrams and its randomized analysis. Research Report 1207, INRIA, 1990. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_.


  25. Jean-Daniel Boissonnat and Monique Teillaud. On the randomized construction of the Delaunay tree. Research Report 1140, INRIA, 1989. [WWW] Keyword(s): _Randomized_algorithms_, _Triangulations_.



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Last modified: Wed Sep 13 09:58:41 2017
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