{"id":16433,"date":"2022-08-18T13:31:23","date_gmt":"2022-08-18T12:31:23","guid":{"rendered":"https:\/\/complex-systems-ai.com\/?page_id=16433"},"modified":"2024-09-27T13:06:05","modified_gmt":"2024-09-27T12:06:05","slug":"ex-structures-algorithmiques","status":"publish","type":"page","link":"https:\/\/complex-systems-ai.com\/es\/algoritmico\/ejercicios-corregidos-sobre-estructuras-algoritmicas\/","title":{"rendered":"12 ejercicios corregidos sobre estructuras algor\u00edtmicas"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"16433\" class=\"elementor elementor-16433\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-13ed037 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"13ed037\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-92c026e\" data-id=\"92c026e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3a8bb2b elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"3a8bb2b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Algor\u00edtmico<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-46fcce7\" data-id=\"46fcce7\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a4385f1 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"a4385f1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/complex-systems-ai.com\/es\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Pagina de inicio<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c1af0c5\" data-id=\"c1af0c5\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-414ed68 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"414ed68\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/en.wikipedia.org\/wiki\/Algorithm\" target=\"_blank\" rel=\"noopener\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Wiki<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d7e9141 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d7e9141\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a9cb248\" data-id=\"a9cb248\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0ad9720 elementor-widget elementor-widget-heading\" data-id=\"0ad9720\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Contenido<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Tabla de contenido alternativo\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Palanca<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewbox=\"0 0 24 24\" version=\"1.2\" baseprofile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/ejercicios-corregidos-sobre-estructuras-algoritmicas\/#Exercices-corriges-sur-les-structures-algorithmiques\" >Ejercicios corregidos sobre estructuras algor\u00edtmicas<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/ejercicios-corregidos-sobre-estructuras-algoritmicas\/#Exercice-1\" >Ejercicio 1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/ejercicios-corregidos-sobre-estructuras-algoritmicas\/#Exercice-2\" >Ejercicio 2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/ejercicios-corregidos-sobre-estructuras-algoritmicas\/#Exercice-3\" >Ejercicio 3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/ejercicios-corregidos-sobre-estructuras-algoritmicas\/#Exercice-4\" >Ejercicio 4<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/ejercicios-corregidos-sobre-estructuras-algoritmicas\/#Exercice-5\" >Ejercicio 5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/ejercicios-corregidos-sobre-estructuras-algoritmicas\/#Exercice-6\" >Ejercicio 6<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/ejercicios-corregidos-sobre-estructuras-algoritmicas\/#Exercice-7\" >Ejercicio 7<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/ejercicios-corregidos-sobre-estructuras-algoritmicas\/#Exercice-8\" >Ejercicio 8<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/ejercicios-corregidos-sobre-estructuras-algoritmicas\/#Exercice-9\" >Ejercicio 9<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/ejercicios-corregidos-sobre-estructuras-algoritmicas\/#Exercice-10\" >Ejercicio 10<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/ejercicios-corregidos-sobre-estructuras-algoritmicas\/#Exercice-11\" >Ejercicio 11<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/ejercicios-corregidos-sobre-estructuras-algoritmicas\/#Exercice-12\" >Ejercicio 12<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercices-corriges-sur-les-structures-algorithmiques\"><\/span>Ejercicios corregidos sobre estructuras algor\u00edtmicas<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9df5096 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9df5096\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-cfa4f8e\" data-id=\"cfa4f8e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5c48332 elementor-widget elementor-widget-text-editor\" data-id=\"5c48332\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Los siguientes ejercicios corregidos se relacionan con estructuras algor\u00edtmicas, estructuras de control y estructuras de datos. El objetivo es proponer las estructuras m\u00e1s adecuadas al enunciado.<\/p><p><img decoding=\"async\" class=\"aligncenter wp-image-11096 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2020\/09\/cropped-Capture.png\" alt=\"estructuras algor\u00edtmicas\" width=\"97\" height=\"97\" title=\"\"><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-419625b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"419625b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1ce0137\" data-id=\"1ce0137\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c2f8657 elementor-widget elementor-widget-heading\" data-id=\"c2f8657\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-1\"><\/span>Ejercicio 1<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-8304189 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8304189\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0ed86f3\" data-id=\"0ed86f3\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0f90126 elementor-widget elementor-widget-text-editor\" data-id=\"0f90126\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Considere los algoritmos a continuaci\u00f3n.<br \/>(a) \u00bfCu\u00e1l ser\u00e1 el contenido de las variables a, by posiblemente c despu\u00e9s de su ejecuci\u00f3n?<br \/>(b) En cada uno de los casos anteriores, \u00bfhay l\u00edneas innecesarias y, de ser as\u00ed, cu\u00e1les?<\/p><p><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone wp-image-19860 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo2.png\" alt=\"estructura de datos\" width=\"756\" height=\"346\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo2.png 756w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo2-300x137.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo2-18x8.png 18w\" sizes=\"(max-width: 756px) 100vw, 756px\" \/><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4abf9fa elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4abf9fa\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3b41aca\" data-id=\"3b41aca\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cd9a9f6 elementor-widget elementor-widget-toggle\" data-id=\"cd9a9f6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2151\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2151\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-2151\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2151\"><p><img decoding=\"async\" class=\"alignnone wp-image-19861 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo1.png\" alt=\"estructura de datos\" width=\"756\" height=\"566\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo1.png 756w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo1-300x225.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo1-16x12.png 16w\" sizes=\"(max-width: 756px) 100vw, 756px\" \/><\/p><p>En la mayor\u00eda de los lenguajes de programaci\u00f3n, el \u00faltimo ejemplo (1.6) no generar\u00e1 un error, pero el resultado no suele ser &#039;3&#039;. Dependiendo del idioma, ser\u00e1 la concatenaci\u00f3n de estos caracteres en una cadena de caracteres \u201cab\u201d (caso de los lenguajes Python o JavaScript), o incluso \u201ca+b\u201d (caso del shell) o la suma de los c\u00f3digos ASCII correspondientes. a los caracteres &#039; 1&#039; y &#039;2&#039;, es decir 49 + 50 = 99: el car\u00e1cter &#039;c&#039; (caso de lenguajes C, C++ o Java). En muy pocos lenguajes, como PHP o perl, en cambio, el resultado ser\u00e1 3. Finalmente en otros lenguajes como pascal, que es un lenguaje fuertemente tipado, la compilaci\u00f3n generar\u00e1 un error.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3d24dad elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3d24dad\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f88b2dd\" data-id=\"f88b2dd\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bfcbf43 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"bfcbf43\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0c98737 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0c98737\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a48ab61\" data-id=\"a48ab61\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b3721a1 elementor-widget elementor-widget-heading\" data-id=\"b3721a1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-2\"><\/span>Ejercicio 2<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-eb9d59a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"eb9d59a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7dadf23\" data-id=\"7dadf23\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-21fc19a elementor-widget elementor-widget-text-editor\" data-id=\"21fc19a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Esta t\u00e9cnica de multiplicaci\u00f3n, utilizada en el antiguo Egipto, no requiere conocer todas las tablas de multiplicar hasta el 10 sino solo la suma y la multiplicaci\u00f3n por 2.<\/span><\/p><p><span style=\"font-weight: 400;\">Aqu\u00ed est\u00e1 por ejemplo la multiplicaci\u00f3n de 13 por 78. Primero debes escribir la tabla de potencias de 2 menor o igual a 13. Luego, escribe la tabla de dobles del n\u00famero 78.<\/span><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16436 size-medium\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo1-300x144.png\" alt=\"Algoritmo de multiplicaci\u00f3n egipcio\" width=\"300\" height=\"144\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo1-300x144.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo1-18x9.png 18w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo1.png 343w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p><p><span style=\"font-weight: 400;\">Luego, tienes que marcar las mayores potencias de 2 descomponiendo el n\u00famero 13 (es decir, que el bit binario es igual a 1). En otras palabras, marque las potencias de 2 ingresando la conversi\u00f3n binaria del n\u00famero 13 = 1101 <\/span><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16437 size-medium\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo2-300x150.png\" alt=\"Algoritmo de multiplicaci\u00f3n egipcio\" width=\"300\" height=\"150\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo2-300x150.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo2-18x9.png 18w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo2.png 343w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p><p>La suma es 78+312+624=1014.<\/p><p><span style=\"font-weight: 400;\">a \u2013 Calcula el producto de tu elecci\u00f3n utilizando el algoritmo de la divisi\u00f3n egipcia.\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">b \u2013 \u00bfEs m\u00e1s f\u00e1cil calcular el producto de 78 por 13? Por qu\u00e9 ?<\/span><\/p><p><span style=\"font-weight: 400;\">c \u2013 Escribe el algoritmo de multiplicaci\u00f3n egipcio (\u00a1seg\u00fan tu respuesta de b!). \u00a1Intenta optimizarlo lo mejor que puedas!<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e486f0c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e486f0c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7c573e7\" data-id=\"7c573e7\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a214a3d elementor-widget elementor-widget-toggle\" data-id=\"a214a3d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1691\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1691\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1691\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1691\"><p><span style=\"font-weight: 400;\">Lo m\u00e1s f\u00e1cil es elegir el n\u00famero m\u00e1s peque\u00f1o para la potencia de 2 y por lo tanto el n\u00famero m\u00e1s grande a duplicar. Efectivamente, el n\u00famero de iteraciones es igual al n\u00famero de veces que es necesario multiplicar 2 por s\u00ed mismo para que sea mayor que el n\u00famero menos una iteraci\u00f3n (solo mantenemos lo estrictamente inferior. Tendremos por tanto un n\u00famero d iteraci\u00f3n n tal que 2<\/span><span style=\"font-weight: 400;\">no<\/span><span style=\"font-weight: 400;\"> &gt; a (n\u00famero descrito). Deducimos que n&gt;log<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">(a) de ah\u00ed el inter\u00e9s de que a sea el m\u00e1s peque\u00f1o.<\/span><\/p><p><span style=\"font-weight: 400;\">Primero recordamos la transformaci\u00f3n binaria de un n\u00famero decimal.<\/span><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16438 size-medium\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo3-300x183.png\" alt=\"Algoritmo de multiplicaci\u00f3n egipcio\" width=\"300\" height=\"183\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo3-300x183.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo3-18x12.png 18w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo3.png 455w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p><p>Lo que da el siguiente algoritmo:<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19664 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2023\/09\/algo2.png\" alt=\"multiplicaci\u00f3n egipcia\" width=\"533\" height=\"416\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2023\/09\/algo2.png 533w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2023\/09\/algo2-300x234.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2023\/09\/algo2-15x12.png 15w\" sizes=\"(max-width: 533px) 100vw, 533px\" \/><\/p><p>No es necesario utilizar una variable temporal para intercambiar dos valores. Aqu\u00ed hay otra versi\u00f3n del algoritmo:<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19675 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2023\/09\/algo3.png\" alt=\"multiplicaci\u00f3n egipcia\" width=\"570\" height=\"357\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2023\/09\/algo3.png 570w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2023\/09\/algo3-300x188.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2023\/09\/algo3-18x12.png 18w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-036c8e7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"036c8e7\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ade5332\" data-id=\"ade5332\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d05a419 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"d05a419\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3b86eca elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3b86eca\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a84ad16\" data-id=\"a84ad16\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-51a8507 elementor-widget elementor-widget-heading\" data-id=\"51a8507\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-3\"><\/span>Ejercicio 3<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d5ce67e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d5ce67e\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-92539a6\" data-id=\"92539a6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-049377e elementor-widget elementor-widget-text-editor\" data-id=\"049377e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">a \u2013 Escribe un <a href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/\">algoritmo<\/a> cuyos par\u00e1metros son tres variables reales y que permuta circularmente sus valores.\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">b \u2013 Escribir un algoritmo cuyos par\u00e1metros sean tres variables reales y devuelva el valor m\u00e1ximo entre estos tres valores.\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">c \u2013 Escribir un algoritmo que permita los valores de dos variables sin utilizar una variable adicional.<\/span><\/p><p><span style=\"font-weight: 400;\">d \u2013 Escriba un algoritmo que devuelva verdadero si dos n\u00fameros enteros a y b tienen el mismo signo, de lo contrario falso<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-af0fceb elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"af0fceb\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-77f2cff\" data-id=\"77f2cff\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d3ab8a3 elementor-widget elementor-widget-toggle\" data-id=\"d3ab8a3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2211\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2211\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-2211\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2211\"><p><span style=\"font-weight: 400;\">posee -\u00a0<\/span><span style=\"font-weight: 400;\">Las variables a, b y c son variables definidas fuera del algoritmo. Estos valores se modifican aunque no se devuelva nada. \u00a1Presta atenci\u00f3n al orden de tus operaciones!<\/span><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16440 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo5.png\" alt=\"algoritmo de permutaci\u00f3n\" width=\"427\" height=\"202\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo5.png 427w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo5-300x142.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo5-18x9.png 18w\" sizes=\"(max-width: 427px) 100vw, 427px\" \/><\/p><p>Tambi\u00e9n puede hacer esto sin tomar una variable adicional. En este caso tendremos al principio (a,b,c). Por ejemplo, a y b se intercambian mediante las siguientes operaciones:<\/p><p>un \u2190 un + b<\/p><p>b \u2190 a\u2013b<\/p><p>a \u2190 a\u2013b<\/p><p>Tenemos por tanto el triple de valores (b,a,c). Resta intercambiar a y c para obtener el triple (b,c,a).<\/p><p>O tambi\u00e9n puedes intercambiar los tres valores usando una serie de c\u00e1lculos.<\/p><p>a \u2190 a + b + c;<\/p><p>c \u2190 a\u2013b\u2013c;<\/p><p>b \u2190 a\u2013b\u2013c;<\/p><p>a \u2190 a\u2013b\u2013c;<\/p><p><span style=\"font-weight: 400;\">b-\u00a0<\/span><span style=\"font-weight: 400;\">Aqu\u00ed el algoritmo debe devolver un valor, por lo que hay entradas y salidas. Hay muchas formas de hacer las cosas, depende de ti encontrar variantes (con varias condiciones en la rama, por ejemplo).<\/span><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16441 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo6.png\" alt=\"algoritmo m\u00e1ximo\" width=\"472\" height=\"355\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo6.png 472w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo6-300x226.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo6-16x12.png 16w\" sizes=\"(max-width: 472px) 100vw, 472px\" \/><\/p><p><span style=\"font-weight: 400;\">La idea ser\u00eda devolver el m\u00e1ximo sin usar variables adicionales.<\/span><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-17215 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/09\/im2.png\" alt=\"algoritmo m\u00e1ximo de tres variables\" width=\"601\" height=\"186\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/09\/im2.png 601w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/09\/im2-300x93.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/09\/im2-18x6.png 18w\" sizes=\"(max-width: 601px) 100vw, 601px\" \/><\/p><p><span style=\"font-weight: 400;\">Tampoco es muy bonito all\u00ed, por lo que intentaremos devolver el m\u00e1ximo solo una vez sin usar nuevas variables. Permutaremos los valores para almacenar el m\u00e1ximo en x (ojo, dependiendo de los idiomas puedes tener un impacto real en los valores en xy y z, \u00a1as\u00ed que util\u00edzalo con precauci\u00f3n!)<\/span><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-17216 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/09\/im3.png\" alt=\"algoritmo optimizado m\u00e1ximo\" width=\"332\" height=\"285\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/09\/im3.png 332w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/09\/im3-300x258.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/09\/im3-14x12.png 14w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><\/p><p><span style=\"font-weight: 400;\">vs- <span style=\"background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; white-space: pre-wrap; font-weight: var( --e-global-typography-text-font-weight );\">Lo acabamos de hacer varias veces... para aquellos que no han seguido.<\/span><\/span><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16442 size-full\" style=\"color: var( --e-global-color-text ); font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-weight: var( --e-global-typography-text-font-weight ); font-size: 1.125rem;\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo7.png\" alt=\"algoritmo de permutaci\u00f3n\" width=\"555\" height=\"182\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo7.png 555w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo7-300x98.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo7-18x6.png 18w\" sizes=\"(max-width: 555px) 100vw, 555px\" \/><\/p><p><span style=\"font-weight: 400;\">d-\u00a0<\/span><span style=\"font-weight: 400;\">Pensaremos en un algoritmo bien optimizado para evitar hacer muchas ramas. \u00a1Dos n\u00fameros enteros con el mismo signo tendr\u00e1n su producto positivo! (0 es tanto positivo como negativo)<\/span><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16443 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo8.png\" alt=\"algoritmo de signo id\u00e9ntico\" width=\"920\" height=\"157\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo8.png 920w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo8-300x51.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo8-768x131.png 768w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo8-18x3.png 18w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo8-600x102.png 600w\" sizes=\"(max-width: 920px) 100vw, 920px\" \/><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9537123 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9537123\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d554491\" data-id=\"d554491\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f51b1bb elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"f51b1bb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ed13dac elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ed13dac\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c0c1caa\" data-id=\"c0c1caa\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d37fd60 elementor-widget elementor-widget-heading\" data-id=\"d37fd60\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-4\"><\/span>Ejercicio 4<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-919bad1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"919bad1\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c0c7973\" data-id=\"c0c7973\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e2ed7eb elementor-widget elementor-widget-text-editor\" data-id=\"e2ed7eb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Escriba un algoritmo para resolver cada uno de los siguientes problemas: (pruebe con diferentes estructuras de control FOR, WHILE, DO\u2026 WHILE, etc.).<\/span><\/p><p><span style=\"font-weight: 400;\">1- C\u00e1lculo de la suma de los primeros N enteros.\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">2- Encontrar el m\u00ednimo y el m\u00e1ximo en un conjunto de N n\u00fameros.\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">3- C\u00e1lculo del cociente y resto de la divisi\u00f3n de dos enteros A y B sin utilizar la operaci\u00f3n de divisi\u00f3n.\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">4- El c\u00e1lculo del producto de dos n\u00fameros enteros utilizando \u00fanicamente la operaci\u00f3n de suma &#039;+&#039;.\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">5- Determinaci\u00f3n si A es divisible por B. Con A y B enteros positivos.\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">6- Determinar todos los divisores de un entero X dado.\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">7- Determinar si un entero X es primo o no.\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">8- Calcular la suma de las cifras que forman un n\u00famero natural N.<\/span><\/p><p>9- Una tienda de reprograf\u00eda cobra 2 euros por las diez primeras fotocopias, 1,50 euros por las veinte siguientes y 1 euro m\u00e1s.<\/p><p>10- <span style=\"font-weight: 400;\">Escribe un algoritmo para mostrar la estaci\u00f3n introduciendo el n\u00famero del mes.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f5ffe16 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f5ffe16\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d561bb0\" data-id=\"d561bb0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9b7512d elementor-widget elementor-widget-toggle\" data-id=\"9b7512d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1631\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1631\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1631\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1631\"><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16453 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo11.png\" alt=\"algoritmo de suma\" width=\"311\" height=\"263\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo11.png 311w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo11-300x254.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo11-14x12.png 14w\" sizes=\"(max-width: 311px) 100vw, 311px\" \/><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16454 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo12.png\" alt=\"algoritmo m\u00ednimo m\u00e1ximo\" width=\"886\" height=\"468\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo12.png 886w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo12-300x158.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo12-768x406.png 768w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo12-18x10.png 18w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo12-600x317.png 600w\" sizes=\"(max-width: 886px) 100vw, 886px\" \/><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16455 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo13.png\" alt=\"algoritmo resto del cociente\" width=\"635\" height=\"303\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo13.png 635w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo13-300x143.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo13-18x9.png 18w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo13-600x286.png 600w\" sizes=\"(max-width: 635px) 100vw, 635px\" \/><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16456 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo14.png\" alt=\"algoritmo de producto\" width=\"333\" height=\"358\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo14.png 333w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo14-279x300.png 279w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo14-11x12.png 11w\" sizes=\"(max-width: 333px) 100vw, 333px\" \/><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16457 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo15.png\" alt=\"algoritmo divisor\" width=\"484\" height=\"501\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo15.png 484w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo15-290x300.png 290w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo15-12x12.png 12w\" sizes=\"(max-width: 484px) 100vw, 484px\" \/><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16458 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo16.png\" alt=\"algoritmo divisor\" width=\"885\" height=\"422\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo16.png 885w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo16-300x143.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo16-768x366.png 768w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo16-18x9.png 18w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo16-600x286.png 600w\" sizes=\"(max-width: 885px) 100vw, 885px\" \/><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16459 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo17.png\" alt=\"algoritmo de n\u00fameros primos\" width=\"764\" height=\"592\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo17.png 764w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo17-300x232.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo17-15x12.png 15w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo17-600x465.png 600w\" sizes=\"(max-width: 764px) 100vw, 764px\" \/><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16460 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo18.png\" alt=\"algoritmo de suma de d\u00edgitos\" width=\"772\" height=\"274\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo18.png 772w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo18-300x106.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo18-768x273.png 768w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo18-18x6.png 18w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo18-600x213.png 600w\" sizes=\"(max-width: 772px) 100vw, 772px\" \/><\/p><p>Errata: al principio R = N, en caso contrario el algoritmo no hace nada (decimos que no es correcto porque no resuelve el problema planteado).<\/p><p>9-<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16444 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo9.png\" alt=\"algoritmo de factura\" width=\"522\" height=\"422\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo9.png 522w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo9-300x243.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo9-15x12.png 15w\" sizes=\"(max-width: 522px) 100vw, 522px\" \/><\/p><p><span style=\"font-weight: 400;\">Es posible poner las ramas en secuencia, pero eso es menos eficiente en el tiempo de c\u00e1lculo.<\/span><\/p><p>10-<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-16445 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo10.png\" alt=\"algoritmo de temporada\" width=\"416\" height=\"287\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo10.png 416w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo10-300x207.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2022\/08\/algo10-18x12.png 18w\" sizes=\"(max-width: 416px) 100vw, 416px\" \/><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a90425e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a90425e\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e390625\" data-id=\"e390625\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-559ac5c elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"559ac5c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ca2cd51 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ca2cd51\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-803948b\" data-id=\"803948b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4dcc7c6 elementor-widget elementor-widget-heading\" data-id=\"4dcc7c6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-5\"><\/span>Ejercicio 5<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-628d69b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"628d69b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4cb605b\" data-id=\"4cb605b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e9e015e elementor-widget elementor-widget-text-editor\" data-id=\"e9e015e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>1. Escriba un algoritmo que solicite al usuario un n\u00famero entero, pruebe si ese n\u00famero es positivo (0) o no y muestre &quot;positivo&quot; o &quot;negativo&quot;.<\/p><p>2. Escriba un algoritmo que solicite al usuario un n\u00famero entero, pruebe si ese n\u00famero es estrictamente positivo, cero o estrictamente negativo y muestre ese resultado.<\/p><p>3. Escribir un algoritmo que solicite al usuario un valor real y muestre su valor absoluto (obviamente sin utilizar una funci\u00f3n predefinida).<\/p><p>4. Escriba un algoritmo que solicite un n\u00famero real al usuario y lo redondee al entero m\u00e1s cercano (x.5 se redondear\u00e1 al siguiente entero).<\/p><p>5. Escriba un algoritmo que solicite el n\u00famero de un mes y muestre el n\u00famero de d\u00edas de ese mes (ignorando los a\u00f1os bisiestos).<\/p><p>6. Escribe un algoritmo que verifique si un a\u00f1o es bisiesto. Recuerde que hay a\u00f1os bisiestos cada 4 a\u00f1os, pero el primer a\u00f1o de un siglo no lo es (1800, 1900 no fueron a\u00f1os bisiestos) excepto cada 400 a\u00f1os (2000 fue a\u00f1o bisiesto).<\/p><p>7. Escriba un algoritmo que solicite una fecha en forma de 2 n\u00fameros enteros (n\u00famero de d\u00eda y n\u00famero de mes) y muestre la temporada (por ejemplo: 12\/02; invierno). Se asumir\u00e1 que el primer d\u00eda de la temporada es siempre el 21.<\/p><p>8. Escribe un programa que solicite las coordenadas (x, y) de los v\u00e9rtices A, B y C de un tri\u00e1ngulo y muestre la naturaleza del tri\u00e1ngulo (isosceles, equil\u00e1tero, rectangular o cualquiera).<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6597948 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6597948\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f6a1aab\" data-id=\"f6a1aab\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-654b558 elementor-widget elementor-widget-toggle\" data-id=\"654b558\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1061\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1061\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1061\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1061\"><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19862 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo3.png\" alt=\"estructura de control\" width=\"739\" height=\"715\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo3.png 739w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo3-300x290.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo3-12x12.png 12w\" sizes=\"(max-width: 739px) 100vw, 739px\" \/><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19863 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo4.png\" alt=\"estructura de control\" width=\"744\" height=\"546\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo4.png 744w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo4-300x220.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo4-16x12.png 16w\" sizes=\"(max-width: 744px) 100vw, 744px\" \/><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19864 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo5.png\" alt=\"estructura de control\" width=\"737\" height=\"425\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo5.png 737w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo5-300x173.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo5-18x10.png 18w\" sizes=\"(max-width: 737px) 100vw, 737px\" \/><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19865 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo6.png\" alt=\"estructura de control\" width=\"559\" height=\"822\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo6.png 559w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo6-204x300.png 204w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo6-8x12.png 8w\" sizes=\"(max-width: 559px) 100vw, 559px\" \/><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-70230dc elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"70230dc\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0f455c0\" data-id=\"0f455c0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ebb8051 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"ebb8051\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a9b3acf elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a9b3acf\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0f85853\" data-id=\"0f85853\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fe7afdf elementor-widget elementor-widget-heading\" data-id=\"fe7afdf\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-6\"><\/span>Ejercicio 6<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-324ae6e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"324ae6e\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-bd84726\" data-id=\"bd84726\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-11633d1 elementor-widget elementor-widget-text-editor\" data-id=\"11633d1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>1. Escriba un algoritmo que solicite un n\u00famero entero positivo y lo rechace hasta que el n\u00famero ingresado no coincida.<\/p><p>2. Escriba un algoritmo que solicite 10 n\u00fameros enteros, cuente el n\u00famero de enteros positivos ingresados y muestre ese resultado.<\/p><p>3. Escriba un algoritmo que solicite al usuario n\u00fameros enteros positivos, los agregue y deje de mostrar el<br \/>resultado tan pronto como se ingresa un n\u00famero entero negativo.<\/p><p>4. Modifique este \u00faltimo algoritmo para mostrar el promedio de la serie de n\u00fameros enteros positivos ingresados.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e0f2873 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e0f2873\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-be3bae6\" data-id=\"be3bae6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f463710 elementor-widget elementor-widget-toggle\" data-id=\"f463710\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2561\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2561\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-2561\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2561\"><p>1-<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19866 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo7.png\" alt=\"estructura de control\" width=\"721\" height=\"203\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo7.png 721w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo7-300x84.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo7-18x5.png 18w\" sizes=\"(max-width: 721px) 100vw, 721px\" \/><\/p><p>2-<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19867 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo8.png\" alt=\"estructura de control\" width=\"716\" height=\"305\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo8.png 716w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo8-300x128.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo8-18x8.png 18w\" sizes=\"(max-width: 716px) 100vw, 716px\" \/><\/p><p>3-<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19868 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo9.png\" alt=\"estructura de control\" width=\"720\" height=\"239\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo9.png 720w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo9-300x100.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo9-18x6.png 18w\" sizes=\"(max-width: 720px) 100vw, 720px\" \/><\/p><p>4-<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19869 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo10.png\" alt=\"estructura de control\" width=\"718\" height=\"402\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo10.png 718w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo10-300x168.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo10-18x10.png 18w\" sizes=\"(max-width: 718px) 100vw, 718px\" \/><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b6b81c6 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b6b81c6\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-afe7168\" data-id=\"afe7168\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7a3092e elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"7a3092e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d28e284 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d28e284\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4399a03\" data-id=\"4399a03\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6c07b91 elementor-widget elementor-widget-heading\" data-id=\"6c07b91\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-7\"><\/span>Ejercicio 7<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-dc2e2a4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"dc2e2a4\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c587c71\" data-id=\"c587c71\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-38fddd3 elementor-widget elementor-widget-text-editor\" data-id=\"38fddd3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Escriba un algoritmo para mostrar los primeros n t\u00e9rminos de las siguientes secuencias (n solicitadas al usuario):<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19872 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo11.png\" alt=\"algoritmo continu\u00f3\" width=\"646\" height=\"79\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo11.png 646w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo11-300x37.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo11-18x2.png 18w\" sizes=\"(max-width: 646px) 100vw, 646px\" \/><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3533995 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3533995\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-477ea53\" data-id=\"477ea53\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f47779b elementor-widget elementor-widget-toggle\" data-id=\"f47779b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2561\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2561\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-2561\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2561\"><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19873 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo12.png\" alt=\"algoritmo continu\u00f3\" width=\"725\" height=\"312\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo12.png 725w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo12-300x129.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo12-18x8.png 18w\" sizes=\"(max-width: 725px) 100vw, 725px\" \/><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f8e5045 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f8e5045\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e0d1d3c\" data-id=\"e0d1d3c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fc77d25 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"fc77d25\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d081752 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d081752\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4e96544\" data-id=\"4e96544\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-dd7bd1e elementor-widget elementor-widget-heading\" data-id=\"dd7bd1e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-8\"><\/span>Ejercicio 8<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-54fd92f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"54fd92f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2590390\" data-id=\"2590390\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-729623b elementor-widget elementor-widget-text-editor\" data-id=\"729623b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Escribe un algoritmo que calcule los primeros n n\u00fameros primos.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f06445c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f06445c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-9c54701\" data-id=\"9c54701\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4fa0acc elementor-widget elementor-widget-toggle\" data-id=\"4fa0acc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-8341\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-8341\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-8341\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-8341\"><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19874 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo13.png\" alt=\"algoritmo de n\u00fameros primos\" width=\"739\" height=\"473\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo13.png 739w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo13-300x192.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo13-18x12.png 18w\" sizes=\"(max-width: 739px) 100vw, 739px\" \/><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c4897c6 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c4897c6\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-10b513c\" data-id=\"10b513c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-da78a2e elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"da78a2e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1db54b6 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1db54b6\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-35eee90\" data-id=\"35eee90\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d586a57 elementor-widget elementor-widget-heading\" data-id=\"d586a57\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-9\"><\/span>Ejercicio 9<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-592804f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"592804f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0ca7734\" data-id=\"0ca7734\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-20536c1 elementor-widget elementor-widget-text-editor\" data-id=\"20536c1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19875 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo14.png\" alt=\"algoritmo del tri\u00e1ngulo de pascal\" width=\"745\" height=\"166\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo14.png 745w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo14-300x67.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo14-18x4.png 18w\" sizes=\"(max-width: 745px) 100vw, 745px\" \/><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d01c15c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d01c15c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6f9488d\" data-id=\"6f9488d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8f19784 elementor-widget elementor-widget-toggle\" data-id=\"8f19784\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1501\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1501\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1501\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1501\"><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19876 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo15.png\" alt=\"algoritmo del tri\u00e1ngulo de pascal\" width=\"759\" height=\"332\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo15.png 759w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo15-300x131.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo15-18x8.png 18w\" sizes=\"(max-width: 759px) 100vw, 759px\" \/><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b3d843f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b3d843f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1568227\" data-id=\"1568227\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0721b6a elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"0721b6a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5954514 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5954514\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6079c18\" data-id=\"6079c18\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f1e8ef0 elementor-widget elementor-widget-heading\" data-id=\"f1e8ef0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-10\"><\/span>Ejercicio 10<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ba7efdf elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ba7efdf\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6595e0d\" data-id=\"6595e0d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1536d49 elementor-widget elementor-widget-text-editor\" data-id=\"1536d49\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Se dice un entero positivo <em>Perfecto <\/em>si es igual a la suma de sus divisores (excepto \u00e9l mismo). Por ejemplo 6 es perfecto, porque 6 = 1 + 2 + 3; de manera similar, 28 es perfecto, porque 28 = 1 + 2 + 4 + 7 + 14.<\/p><p>Escribe una funci\u00f3n booleana perfecta para un n\u00famero entero n. Para optimizar.<\/p><p>Realiza un procedimiento perfect_riddle que busque y muestre, utilizando un tamiz, los n\u00fameros perfectos en un intervalo del 1 al <em>METRO <\/em>.<\/p><p>Planeamos almacenar para cada n\u00famero entero la suma de sus divisores, suma que se calcular\u00e1 durante la criba: el principio de la criba es, para cada n\u00famero entero \u00a0<em>I \u00a0<\/em>del intervalo, para recorrer los m\u00faltiplos de <em>I <\/em>al que le sumamos el divisor <em>I<\/em>.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-418716f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"418716f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-14bcd8f\" data-id=\"14bcd8f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9acaa6e elementor-widget elementor-widget-toggle\" data-id=\"9acaa6e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1621\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1621\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1621\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1621\"><p>Aqu\u00ed hay un algoritmo bastante simple para encontrar un n\u00famero perfecto.<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20204 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo1-1.png\" alt=\"numero perfecto\" width=\"422\" height=\"141\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo1-1.png 422w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo1-1-300x100.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo1-1-18x6.png 18w\" sizes=\"(max-width: 422px) 100vw, 422px\" \/><\/p><p>Tambi\u00e9n podemos inicializar <em>s <\/em>a 1 e iniciar el ciclo en 2, pero tenga cuidado, la funci\u00f3n debe devolver falso para <em>I <\/em>= 1; Luego debemos agregar una prueba a la inicializaci\u00f3n.<\/p><p>Podemos optimizar la funci\u00f3n observando que si <em>I <\/em>dividir <em>no<\/em>, entonces (<em>no <\/em>div <em>I<\/em>) tambi\u00e9n es divisor ya que <em>I <\/em>(<em>no <\/em>div <em>I<\/em>) = <em>no<\/em>.<\/p><p>solo var\u00eda <em>I <\/em>de 2 a \u221a<em>no <\/em>: si <em>I <\/em>es un divisor, entonces el divisor (<em>no <\/em>div <em>I<\/em>) est\u00e1 en el intervalo \u221a<em>no <\/em>Para <em>no <\/em>; entonces tenemos todos los divisores.<\/p><p>Hay que pensar en empezar por 2 para no sumar <em>no<\/em>. Tambi\u00e9n hay un problema si <em>no <\/em>es un cuadrado: habremos sumado el divisor dos veces <em>r <\/em>= \u221a<em>no<\/em>.<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20206 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo2-1.png\" alt=\"numero perfecto\" width=\"537\" height=\"324\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo2-1.png 537w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo2-1-300x181.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo2-1-18x12.png 18w\" sizes=\"(max-width: 537px) 100vw, 537px\" \/><\/p><p>Aqu\u00ed hay un algoritmo para perfect_screen:<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20207 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo3-1.png\" alt=\"tamiz de numero perfecto\" width=\"474\" height=\"425\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo3-1.png 474w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo3-1-300x269.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo3-1-13x12.png 13w\" sizes=\"(max-width: 474px) 100vw, 474px\" \/><\/p><p>Los n\u00fameros perfectos entre 1 y 10.000.000 son 6, 28, 496, 8128.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-64777c5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"64777c5\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1ccfaed\" data-id=\"1ccfaed\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7fd604c elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"7fd604c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e326ac4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e326ac4\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4ee0922\" data-id=\"4ee0922\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-de28aa9 elementor-widget elementor-widget-heading\" data-id=\"de28aa9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-11\"><\/span>Ejercicio 11<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-83730de elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"83730de\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8c677b4\" data-id=\"8c677b4\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-170d4d5 elementor-widget elementor-widget-text-editor\" data-id=\"170d4d5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Escriba una funci\u00f3n que devuelva el n\u00famero de apariciones del valor m\u00e1ximo presente en una matriz sin clasificar. Construya el algoritmo en 0(n).<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9381eb4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9381eb4\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3749910\" data-id=\"3749910\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-683c119 elementor-widget elementor-widget-toggle\" data-id=\"683c119\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1091\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1091\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1091\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1091\"><p>Es posible hacerlo como dos tiempos, tendremos un <a href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/complejidad-en-el-tiempo\/\">complejidad<\/a> de 2n=O(n)<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20208 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo4-1.png\" alt=\"algoritmo de n\u00famero m\u00e1ximo\" width=\"449\" height=\"241\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo4-1.png 449w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo4-1-300x161.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo4-1-18x10.png 18w\" sizes=\"(max-width: 449px) 100vw, 449px\" \/><\/p><p>O hacer todo en un solo bucle:<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20209 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo5-1.png\" alt=\"algoritmo de n\u00famero m\u00e1ximo\" width=\"438\" height=\"181\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo5-1.png 438w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo5-1-300x124.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo5-1-18x7.png 18w\" sizes=\"(max-width: 438px) 100vw, 438px\" \/><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0eba6fa elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0eba6fa\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d6c9564\" data-id=\"d6c9564\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-83da76a elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"83da76a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-00f42b3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"00f42b3\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-04a95a3\" data-id=\"04a95a3\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-df86188 elementor-widget elementor-widget-heading\" data-id=\"df86188\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-12\"><\/span>Ejercicio 12<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-505b3b4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"505b3b4\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7699781\" data-id=\"7699781\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3bf6af3 elementor-widget elementor-widget-text-editor\" data-id=\"3bf6af3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>consideramos un cuadrado <em>Q <\/em>en el que se colocan aleatoriamente un gran n\u00famero de puntos. La relaci\u00f3n entre el n\u00famero de puntos que aparecen en el c\u00edrculo inscrito en <em>Q <\/em>y el n\u00famero de puntos dibujados se acerca a la relaci\u00f3n entre la superficie del disco inscrita en <em>Q <\/em>y la superficie del cuadrado <em>Q<\/em>. Deducimos un valor aproximado de <em>\u03c0<\/em>. Este m\u00e9todo se llama simulaci\u00f3n de Monte Carlo (\u00a1muy \u00fatil en finanzas!).<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-aa41ad6 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"aa41ad6\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0ca65bd\" data-id=\"0ca65bd\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f58367b elementor-widget elementor-widget-toggle\" data-id=\"f58367b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2571\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2571\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-2571\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2571\"><p>Es decir \u00a0<em>r \u00a0<\/em>el radio del c\u00edrculo. El \u00e1rea del c\u00edrculo es \u00a0<em>\u03c0r<\/em><sup>2<\/sup> \u00a0y el \u00e1rea del cuadrado es 4<em>r<\/em><sup>2<\/sup>. Para simplificar tomamos <em>r <\/em>= 1, y nos limitamos al cuarto de plano R<sup>+<\/sup> \u00d7R<sup>+<\/sup> .<\/p><p>random(m) proporciona un n\u00famero entero entre 0 y <em>metro-<\/em>1, mientras que aleatorio sin par\u00e1metros proporciona un real entre 0 y 1.<\/p><p>Para saber si un punto (<em>x, y<\/em>) \u2208 en el cuarto de c\u00edrculo probamos si \u221a(<em>X<\/em>\u00b2 + <em>y<\/em>\u00b2) \u2264 1.<\/p><p>Como calcular la ra\u00edz cuadrada es caro, simplemente hacemos la prueba equivalente (<em>X<\/em>\u00b2 + <em>y<\/em>\u00b2) \u2264 1. Para esto podemos usar la funci\u00f3n sqr que est\u00e1 m\u00e1s optimizada que x*x.<\/p><p><em>no <\/em>es el n\u00famero total de puntos extra\u00eddos (todos en el cuarto de casilla); <em>vs\u00a0<\/em>es el n\u00famero de estos puntos que hay en el cuarto de c\u00edrculo.<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20210 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo6-1.png\" alt=\"algoritmo pi c\u00e1lculo monte carlo\" width=\"386\" height=\"193\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo6-1.png 386w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo6-1-300x150.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2024\/02\/algo6-1-18x9.png 18w\" sizes=\"(max-width: 386px) 100vw, 386px\" \/><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>P\u00e1gina de inicio de Algorithmic Wiki Ejercicios corregidos sobre estructuras algor\u00edtmicas Los siguientes ejercicios corregidos se relacionan con estructuras algor\u00edtmicas, estructuras de control y... <\/p>","protected":false},"author":1,"featured_media":0,"parent":1062,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-16433","page","type-page","status-publish","hentry"],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages\/16433","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/comments?post=16433"}],"version-history":[{"count":27,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages\/16433\/revisions"}],"predecessor-version":[{"id":21203,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages\/16433\/revisions\/21203"}],"up":[{"embeddable":true,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages\/1062"}],"wp:attachment":[{"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/media?parent=16433"}],"curies":[{"name":"gracias","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}