{"id":26,"date":"2020-01-27T17:20:21","date_gmt":"2020-01-27T20:20:21","guid":{"rendered":"http:\/\/personal.cmm.uchile.cl\/jamaya\/?page_id=26"},"modified":"2025-02-01T01:19:16","modified_gmt":"2025-02-01T04:19:16","slug":"publications","status":"publish","type":"page","link":"https:\/\/personal.cmm.uchile.cl\/jamaya\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<h4><strong><span style=\"color: #000080\">Articles<br \/>\n<\/span><\/strong><\/h4>\n<ol>\n<li>Amaya, J. On the convergence of curvilinear search algorithms in unconstrained minimization.\u00a0<em>Operations Research Letters,<\/em> 4(1), 1985. <a href=\"https:\/\/doi.org\/10.1016\/0167-6377(85)90048-3\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1016\/0167-6377(85)90048-3<\/a><\/li>\n<li>Amaya J. (1986) The armijo step rule adapted to gradient path algorithms. In: Contesse B. L., Correa F. R., Weintraub P. A. (eds) Recent Advances in System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 87. Springer, Berlin, Heidelberg. <a href=\"https:\/\/doi.org\/10.1007\/BFb0006774\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.1007\/BFb0006774<\/a><\/li>\n<li>Amaya, J. A differential equations approach to function minimization.\u00a0<em>Revista de Matem\u00e1ticas Aplicadas,<\/em> Universidad de Chile, 4(1-7), 1987. ISSN 0716-3096. <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2021\/10\/Diff-Eq-Approach-Rev-Mat-Apl-1987.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/li>\n<li>Amaya, J. Convergence of curvilinear search algorithms to second order points.\u00a0<em>Revista de Matem\u00e1ticas Aplicadas,<\/em> Universidad de Chile, 10(71-79), 1989.\u00a0 ISSN 0716-5803. <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2021\/10\/Curvilinear-Search-Rev-Mat-Apl-1989.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/li>\n<li>Amaya, J. Numerical experiments with the affine scaling algorithm on degenerate linear programming problems.\u00a0<em>Optimization,<\/em> 27(51\u201162), 1993. <a href=\"https:\/\/doi.org\/10.1080\/02331939308843871\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1080\/02331939308843871<\/a><\/li>\n<li>Amaya, J. On the symmetric affine scaling algorithm for linear programming.\u00a0<em>Optimization<\/em>, 32(147-158), 1995.\u00a0\u00a0 <a href=\"https:\/\/doi.org\/10.1080\/02331939508844043\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1080\/02331939508844043<\/a><\/li>\n<li>Amaya, J. and G. de Ghellinck. Duality for inexact linear programming problems.\u00a0<em>Optimization<\/em>, 39(137-150), 1997.\u00a0<a href=\"https:\/\/doi.org\/10.1080\/02331939708844278\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1080\/02331939708844278<\/a><\/li>\n<li>Amaya, J. y J. A. G\u00f3mez. Strong duality for inexact linear programming.\u00a0<em>Optimization<\/em>, vol. 49, pp. 243-269, 2001. <a href=\"https:\/\/doi.org\/10.1080\/02331930108844532\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1080\/02331930108844532<\/a><\/li>\n<li>G\u00f3mez, J. A., P. Bosch and J. Amaya. Duality for Inexact Semi-Infinite Linear Programming.\u00a0<em>Optimization<\/em>, vol. 54, pp. 1-25, 2005. \u00a0<a href=\"https:\/\/doi.org\/10.1080\/02331930412331286595\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1080\/02331930412331286595<\/a><\/li>\n<li>Amaya, J. and M. A. Goberna. On the stability for Linear Systems with an Exact Constraint Set.\u00a0<em>Mathematical Methods for Operations Research<\/em>, 63, pp. 107-121, 2004. <a href=\"https:\/\/doi.org\/10.1007\/s00186-005-0030-8\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1007\/s00186-005-0030-8<\/a><\/li>\n<li>Ferland, J., J. Amaya and M. S. Djuimo.\u00a0 Application of a Particle Swarm Algorithm to the Capacitated Open Pit Mining Problem. In: Mukhopadhyay S.C., Gupta G.S. (eds) Autonomous Robots and Agents. Studies in Computational Intelligence, vol 76. Springer, Berlin, Heidelberg, 2007. <a href=\"https:\/\/doi.org\/10.1007\/978-3-540-73424-6_15\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.1007\/978-3-540-73424-6_15<\/a><\/li>\n<li>Amaya, J., P. Bosch and M. A. Goberna. Stability of the feasible set mapping of linear systems with an exact constraint set.\u00a0<em>Set Valued Analysis<\/em>, 16, No. 5-6, pp. 621-635, 2006. <a href=\"https:\/\/doi.org\/10.1007\/s11228-007-0048-6\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1007\/s11228-007-0048-6<\/a><\/li>\n<li>Alvarez, F., J. Amaya, A. Griewank and N. Strogies. A continuous framework for open pit mine planning.\u00a0<em>Mathematical Methods for Operations Research<\/em>, Vol 73, pp 29-54, 2011.\u00a0<a href=\"https:\/\/doi.org\/10.1007\/s00186-010-0332-3\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1007\/s00186-010-0332-3<\/a><\/li>\n<li>Lagos, G., D. Espinoza, E. Moreno and J. Amaya. Robust planning for an open-pit mining problem under ore-grade uncertainty. <em>Electronic Notes on Discrete Mathematics<\/em>, Vol 37, pp 15-20, 2011. <a href=\"https:\/\/doi.org\/10.1016\/j.endm.2011.05.004\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1016\/j.endm.2011.05.004<\/a><\/li>\n<li>Amaya, J., D. Peeters, P. Uribe and J-P. Valenzuela. Optimization modeling for resource allocation in the Chilean public educational system.\u00a0<em>IRSR-International Regional Science Review,\u00a0<\/em>39(2) 155-176, 2016. <a href=\"https:\/\/doi.org\/10.1177\/0160017615571584\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1177\/0160017615571584<\/a><\/li>\n<li>Saavedra-Rosas, J., E. J\u00e9lvez, J. Amaya and N. Morales. Optimizing Open Pit Block Scheduling with Exposed Ore Reserve.\u00a0<em>Journal of Southern African Institute of Mining and Metallurgy<\/em>. Vol. 116, pp 655-662, July 2016. <a href=\"https:\/\/doi.org\/10.17159\/2411-9717\/2016\/v116n7a7\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.17159\/2411-9717\/2016\/v116n7a7<\/a><\/li>\n<li>Silva, JD., J. Amaya and F. Basso. Developing a predictive model of fragmentation using drilling and blasting data in open pit mining. <em>Journal of Southern African Institute of Mining and Metallurgy<\/em>. Vol. 117, Nov. 2017. <a href=\"https:\/\/doi.org\/10.17159\/2411-9717\/2017\/v117n11a14\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.17159\/2411-9717\/2017\/v117n11a14<\/a><\/li>\n<li>Amaya, J. and P. Uribe. A model and computational tool for crew scheduling in train transportation of mine materials by using a local search strategy.\u00a0<em>TOP-Journal of the Spanish Society of Statistics and Operations Research.<\/em> (26)383-402, 2018. <a href=\"http:\/\/doi.org\/10.1007\/s11750-018-0479-2\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/doi.org\/10.1007\/s11750-018-0479-2<\/a><\/li>\n<li>Hofst\u00e4dter, R., J. Amaya and M. Kozek. Energy optimal control of thermal comfort in trams<em>. Applied Thermal Engineering<\/em>. 143 (2018) 812-821, 2018. \u00a0 <a href=\"https:\/\/doi.org\/10.1016\/j.applthermaleng.2018.07.084\" target=\"_blank\" rel=\"noopener noreferrer\"><em>https:\/\/doi.org\/10.1016\/j.applthermaleng.2018.07.084<\/em><\/a><\/li>\n<li>Amaya, J., C. Hermosilla and E. Molina. Optimality conditions for the continuous model of the final open pit problem. \u00a0<em>Optimization Letters<\/em>. 2019.\u00a0<a href=\"https:\/\/doi.org\/10.1007\/s11590-019-01516-8\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1007\/s11590-019-01516-8<\/a><\/li>\n<li><span class=\"NormalTextRun SCXW97404633 BCX0\" data-ccp-parastyle=\"Title\">Morales, N., G. Nelis and J. Amaya. An efficient method for optimizing nested open pits with operational bottom space<\/span><span class=\"NormalTextRun SCXW97404633 BCX0\" data-ccp-parastyle=\"Title\">.\u00a0 <em>ITOR-<\/em><\/span><em>Intl. Trans. in Op. Res.<\/em> 31 (2024) 1609\u20131630.\u00a0 <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2024\/01\/Int-Trans-Operational-Res-2023-Morales-An-efficient-method-for-optimizing-nested-open-pits-with-operational-bottom-2.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/li>\n<\/ol>\n<h4><span style=\"color: #000080\"><strong>Submitted and ongoing articles<br \/>\n<\/strong><\/span><\/h4>\n<ol>\n<li>Aguayo, C., J. Amaya and S. Limbourg. Optimizing Short Food Supply Chains: A Distribution Network Model with Heterogeneous Capacitated Vehicles. Submitted <em>,<\/em> August, 2023.\u00a0 <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2021\/11\/Manuscript-SAM.pdf\" target=\"_blank\" rel=\"noopener\"> Manuscript<\/a><\/li>\n<\/ol>\n<h4><span style=\"color: #000080\"><strong>Chapters in books and proceedings<br \/>\n<\/strong><\/span><\/h4>\n<ol>\n<li>Munizaga-Rosas, Jos\u00e9, M. A. Alfaro and J. Amaya.\u00a0 An Evolutionary Model for Underground Mining Planning. In: <em>Mass Min Proceedings<\/em>. Ed. Instituto de Ingenieros de Chile, 2004. <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2021\/01\/An-Evolutionary-Model-for-Underground-Mining-Planning1.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/li>\n<li>Soto, L., R. Sanchez and J. Amaya. Target Data Projection in Multivariate Visualization: an Application to Mine Planning. In: <em>Computational Science and its Applications. Lecture Notes in Computer Science, 0302-9743(3044)<\/em>: pp. 603 -612.\u00a0 <span class=\"authors__name\">A. Lagan\u00e1 et al (Eds). Springer Verlag, 2004.\u00a0 <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2021\/10\/Soto-Sanchez-Amaya-ICCSA-2004.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a> \u00a0 \u00a0\u00a0 <a href=\"https:\/\/www.springer.com\/gp\/book\/9783540220565\" target=\"_blank\" rel=\"noopener\">https:\/\/www.springer.com\/gp\/book\/9783540220565<\/a><\/span><\/li>\n<li>Amaya, J., P. Cartigny and A. Rapaport. El modelamiento matem\u00e1tico aplicado al estudio de los recursos marinos y su manejo. En: <em>Valoraci\u00f3n, uso y perspectivas de la biodiversidad marina<\/em>, pp. 211-233, Ed. Universitaria, Santiago, 2005. <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2020\/05\/2-AmCaRa.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">PDF<\/a><\/li>\n<li>Maureira, J.C., P. Uribe, O. Dalle, T. Asahi and J. Amaya. Component based approach using OMNeT++ for train communication modeling. Proceedings: <em>ITST2009,\u00a0International Conference on Intelligent Transport Systems Telecommunications<\/em>, pp. 441-446. <em>International Conference on Intelligent Transport Systems Telecommunications<\/em>, Lille, France, 2009.\u00a0 <a href=\"http:\/\/www.proceedings.com\/07158.html\" target=\"_blank\" rel=\"noopener\">ISBN: 9781424453467<\/a>,\u00a0 <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2020\/05\/MaureiraUribeDalleAsahiAmaya-Paper-OMNET.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/li>\n<li>Amaya, J., D. Espinoza, Goycoolea, M., E. Moreno, Th. Pr\u00e9vost and E. Rubio. A scalable approach to optimal block scheduling. In: <em>APCOM2009, Applications of Computers on Mining Industry<\/em>, pp. 567-575. Vancouver, Canada, 2009. <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2020\/05\/AmayaEspinozaGoycooleaMorenoPrevostRubio-APCOM-2009.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">PDF<\/a><\/li>\n<li>Amaya, J., H. Ram\u00edrez and P. Uribe. Application of local search to crew scheduling. In: <em>Monograf\u00edas Matem\u00e1ticas \u00abGarc\u00eda de Galdeano\u00bb<\/em> n\u00b0 38, pp 23-32, ISBN: 978-84-15770-81-7, 2013. \u00a0 <a href=\"https:\/\/puz.unizar.es\/1471-the-pyrenees-international-workshop-and-summer-school-on-statistics-probability-and-operations-research-spo-2011.html\" target=\"_blank\" rel=\"noopener\">LINK<\/a>\u00a0 <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2021\/11\/CREW-Amaya-Ramirez-Uribe.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/li>\n<li>Julio, C., J. Amaya, A. Lamghari and N. Morales. Optimal Economic Envelope of Joint Open-Pit and Underground Mines. In: <em>APCOM2015, Applications of Computers on Mining Industry, <\/em>\u00a0 pp. 343-351. S. Bandopadhyay (Ed). Fairbanks, Alaska. 2015.<a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2020\/05\/Paper-APCOM-2015-REDUCIDO.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"> PDF<\/a><\/li>\n<li>Molina, E. and J. Amaya. Analytical properties of the feasible and optimal profiles in the binary programming formulation of open pit. In:<em> APCOM2017, Applications of Computers on Mining Industry<\/em>, pp. (17)25 \u201332, Golden-Colorado, 2017. <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2020\/05\/APCOM_Proceedings-2017-Molina-Amaya-1.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">PDF<\/a><\/li>\n<li>Molina, E. and J. Amaya. Characterizing the optimal profile of the open pit problem in the continuous framework. In: <em>APCOM2017, Applications of Computers on Mining Industry<\/em>, pp. (17)33 \u201340, Golden-Colorado, 2017. <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2020\/05\/APCOM_Proceedings-2017-Molina-Amaya-2.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">PDF<\/a><\/li>\n<li>Amaya, J., E. Molina, N. Morales and P. Uribe. Optimization model for rostering and crew assignment for train transportation. In: <em>Mining Goes Digital.<\/em> Mueller et al. (Eds) \u00a9 Taylor &amp; Francis Group, London, pp. 419-425. ISBN 978-0-367-33604-2. 2019.\u00a0 <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2020\/05\/APCOM2019-Amaya-Molina-Morales-Uribe-REDUCIDO.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">PDF<\/a><\/li>\n<li>Morales, N., G. Nelis, F. Saavedra, J. Amaya and R. G\u00f3mez.\u00a0 Using precedence constraints to model the geometry of optimal mining envelopes. In: <em>APCOM2023, Intelligent Mining: Innovation, Vision and Value.<\/em> Rapid City, South Dakota, 2023. \u00a0\u00a0<a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2023\/06\/3153-apcom-3153-FINAL.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/li>\n<\/ol>\n<h4><span style=\"color: #000080\"><strong>Contributions to public policies\u00a0<\/strong><\/span><\/h4>\n<ol>\n<li>Amaya, J. Los desaf\u00edos de estructuraci\u00f3n en la sociedad de la informaci\u00f3n. In: <em>Hacia la Sociedad de la Informaci\u00f3n: Desaf\u00edos del Sistema Estad\u00edstico Chileno<\/em>. Ed. INE-Instituto Nacional de Estad\u00edsticas. ISBN: 956-7952-01-9. March 2000. <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2021\/10\/INE-1999.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/li>\n<li>Mu\u00f1oz, J. C. et al (co-author) Ciudades y cambio clim\u00e1tico en Chile:\u00a0 Recomendaciones desde la evidencia cient\u00edfica. Santiago: Comit\u00e9 Cient\u00edfico COP25; Ministerio de Ciencia, Tecnolog\u00eda, Conocimiento e Innovaci\u00f3n.\u00a0 November 2019.\u00a0 <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2022\/01\/Ciudades-06.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/li>\n<li>Amaya, J, C. Canals, A. Mizala, P. Rodr\u00edguez, P. Uribe and J.P. Valenzuela. Planificaci\u00f3n Territorial de la Oferta Escolar P\u00fablica.\u00a0 <em>Policy Brief: VID-Vicerrector\u00eda de Investigaci\u00f3n y Desarrollo, Universidad de Chile<\/em>. October 2021.\u00a0 <a href=\"https:\/\/doi.org\/10.34720\/01sb-0b03\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.34720\/01sb-0b03<\/a>\u00a0 <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2021\/11\/Policy-Brief-N6-Planificacion-Territorial-de-la-Oferta-Escolar-Publica-v7.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/li>\n<li>Scientific Committee on Climate Change (co-author). The Chilean Potential for Exporting Renewable Energy. <em>Ministry of Science, Technology, Knowledge and Innovation.<\/em> November 2021.\u00a0 <a href=\"https:\/\/comitecientifico.minciencia.gob.cl\/wp-content\/uploads\/2021\/11\/The_Chilean_Potential_for_Exporting_Renewable_Energy_web.pdf\" target=\"_blank\" rel=\"noopener\">LINK<\/a>,\u00a0 <a href=\"http:\/\/personal.cmm.uchile.cl\/jamaya\/wp-content\/uploads\/sites\/6\/2021\/11\/The_Chilean_Potential_for_Exporting_Renewable_Energy_web.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Articles Amaya, J. On the convergence of curvilinear search algorithms in unconstrained minimization.\u00a0Operations Research Letters, 4(1), 1985. https:\/\/doi.org\/10.1016\/0167-6377(85)90048-3 Amaya J. (1986) The armijo step rule adapted to gradient path algorithms. In: Contesse B. L., Correa F. R., Weintraub P. A. (eds) Recent Advances in System Modelling and Optimization. Lecture Notes in Control and Information Sciences, &hellip; <a href=\"https:\/\/personal.cmm.uchile.cl\/jamaya\/publications\/\" class=\"more-link\">Seguir leyendo <span class=\"screen-reader-text\">Publications<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-26","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/personal.cmm.uchile.cl\/jamaya\/wp-json\/wp\/v2\/pages\/26","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/personal.cmm.uchile.cl\/jamaya\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/personal.cmm.uchile.cl\/jamaya\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/personal.cmm.uchile.cl\/jamaya\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/personal.cmm.uchile.cl\/jamaya\/wp-json\/wp\/v2\/comments?post=26"}],"version-history":[{"count":202,"href":"https:\/\/personal.cmm.uchile.cl\/jamaya\/wp-json\/wp\/v2\/pages\/26\/revisions"}],"predecessor-version":[{"id":475,"href":"https:\/\/personal.cmm.uchile.cl\/jamaya\/wp-json\/wp\/v2\/pages\/26\/revisions\/475"}],"wp:attachment":[{"href":"https:\/\/personal.cmm.uchile.cl\/jamaya\/wp-json\/wp\/v2\/media?parent=26"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}