{"id":16305,"date":"2024-01-23T08:11:15","date_gmt":"2024-01-23T04:41:15","guid":{"rendered":"https:\/\/rasanegar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/"},"modified":"2024-01-23T08:11:15","modified_gmt":"2024-01-23T04:41:15","slug":"%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa","status":"publish","type":"post","link":"https:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/","title":{"rendered":"\u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0628\u0627 python-\u0645\u062d\u062f\u0648\u062f\u06cc\u062a"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">\u0633\u0631\u0641\u0635\u0644\u0647\u0627\u06cc \u0645\u0637\u0644\u0628<\/p>\n<\/div><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:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/#%d9%85%d8%b9%d8%b1%d9%81%db%8c\" >\u0645\u0639\u0631\u0641\u06cc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/#%d9%86%d8%b5%d8%a8_%da%a9%d8%b1%d8%af%d9%86_python%d9%85%d8%a7%da%98%d9%88%d9%84_%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\" >\u0646\u0635\u0628 \u06a9\u0631\u062f\u0646 python\u0645\u0627\u0698\u0648\u0644 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/#%d9%85%d8%a8%d8%a7%d9%86%db%8c_%d8%a7%d8%b3%d8%aa%d9%81%d8%a7%d8%af%d9%87_python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\" >\u0645\u0628\u0627\u0646\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 python-\u0645\u062d\u062f\u0648\u062f\u06cc\u062a<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/#%d9%85%d8%ab%d8%a7%d9%84_%d8%a7%d9%84%d9%81\" >\u0645\u062b\u0627\u0644 \u0627\u0644\u0641<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/#%d9%86%d9%85%d9%88%d9%86%d9%87_%d9%87%d8%a7%db%8c_%da%af%d8%b1%d9%85_%da%a9%d8%b1%d8%af%d9%86\" >\u0646\u0645\u0648\u0646\u0647 \u0647\u0627\u06cc \u06af\u0631\u0645 \u06a9\u0631\u062f\u0646<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/#%d9%85%d8%ab%d8%a7%d9%84_b\" >\u0645\u062b\u0627\u0644 B<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/#%d9%85%d8%ab%d8%a7%d9%84_%d8%ac\" >\u0645\u062b\u0627\u0644 \u062c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/#%d9%85%d8%ab%d8%a7%d9%84_d\" >\u0645\u062b\u0627\u0644 D<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/#%d9%85%d8%ab%d8%a7%d9%84_%d9%87%d8%a7%db%8c_%d8%b3%d8%ae%d8%aa_%d8%aa%d8%b1\" >\u0645\u062b\u0627\u0644 \u0647\u0627\u06cc \u0633\u062e\u062a \u062a\u0631<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/#%d9%85%d8%ab%d8%a7%d9%84_e\" >\u0645\u062b\u0627\u0644 E<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/#%d9%85%d8%ab%d8%a7%d9%84_f\" >\u0645\u062b\u0627\u0644 F<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/#%d9%86%d8%aa%db%8c%d8%ac%d9%87_%da%af%db%8c%d8%b1%db%8c_%d9%88_%d8%a7%d8%b4%da%a9%d8%a7%d9%84%d8%a7%d8%aa\" >\u0646\u062a\u06cc\u062c\u0647 \u06af\u06cc\u0631\u06cc \u0648 \u0627\u0634\u06a9\u0627\u0644\u0627\u062a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/#%d9%84%db%8c%d8%b3%d8%aa_%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa_%d9%87%d8%a7%db%8c_%d8%af%d8%a7%d8%ae%d9%84%db%8c\" >\u0644\u06cc\u0633\u062a \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627\u06cc \u062f\u0627\u062e\u0644\u06cc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d9%86%d9%88%db%8c%d8%b3%db%8c-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa-%d8%a8%d8%a7-python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\/#%d9%86%d8%aa%db%8c%d8%ac%d9%87\" >\u0646\u062a\u06cc\u062c\u0647<\/a><\/li><\/ul><\/nav><\/div>\n<span class=\"span-reading-time rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">\u0632\u0645\u0627\u0646 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u0645\u0637\u0627\u0644\u0639\u0647: <\/span> <span class=\"rt-time\"> 13<\/span> <span class=\"rt-label rt-postfix\">\u062f\u0642\u06cc\u0642\u0647<\/span><\/span><p> <br \/>\n<\/p>\n<div><noscript><\/noscript><\/p>\n<h2 id=\"introduction\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%b9%d8%b1%d9%81%db%8c\"><\/span>\u0645\u0639\u0631\u0641\u06cc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0627\u0648\u0644\u06cc\u0646 \u0686\u06cc\u0632\u06cc \u06a9\u0647 \u062f\u0631 \u0647\u0646\u06af\u0627\u0645 \u067e\u0631\u062f\u0627\u062e\u062a\u0646 \u0628\u0647 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0628\u0627\u06cc\u062f \u0628\u062f\u0627\u0646\u06cc\u0645 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0631\u0648\u0634 \u062a\u0641\u06a9\u0631 \u0628\u0627 \u0637\u0631\u0632 \u0641\u06a9\u0631 \u0645\u0639\u0645\u0648\u0644 \u0645\u0627 \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0646\u0648\u0634\u062a\u0646 \u06a9\u062f \u0645\u06cc \u0646\u0634\u06cc\u0646\u06cc\u0645 \u0628\u0633\u06cc\u0627\u0631 \u0645\u062a\u0641\u0627\u0648\u062a \u0627\u0633\u062a.<\/p>\n<p>\u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0646\u0645\u0648\u0646\u0647 \u0627\u06cc \u0627\u0632 \u0627\u06cc\u0646 \u0627\u0633\u062a <strong>\u0627\u0639\u0644\u0627\u0645\u06cc<\/strong> \u067e\u0627\u0631\u0627\u062f\u0627\u06cc\u0645 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc\u060c \u0628\u0631 \u062e\u0644\u0627\u0641 \u0645\u0639\u0645\u0648\u0644 <strong>\u0627\u0645\u0631\u06cc \u0636\u0631\u0648\u0631\u06cc<\/strong> \u067e\u0627\u0631\u0627\u062f\u0627\u06cc\u0645 \u06a9\u0647 \u0645\u0627 \u0628\u06cc\u0634\u062a\u0631 \u0627\u0648\u0642\u0627\u062a \u0627\u0632 \u0622\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645.<\/p>\n<blockquote>\n<p>\u067e\u0627\u0631\u0627\u062f\u0627\u06cc\u0645 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0686\u06cc\u0633\u062a\u061f<\/p>\n<\/blockquote>\n<p>\u067e\u0627\u0631\u0627\u062f\u0627\u06cc\u0645 \u0628\u0647 \u0645\u0639\u0646\u0627\u06cc \u00ab\u0646\u0645\u0648\u0646\u0647\u00bb \u06cc\u0627 \u00ab\u0627\u0644\u06af\u0648\u06cc\u00bb \u0686\u06cc\u0632\u06cc \u0627\u0633\u062a.  \u06cc\u06a9 \u067e\u0627\u0631\u0627\u062f\u0627\u06cc\u0645 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0627\u063a\u0644\u0628 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 &#8220;\u0634\u06cc\u0648\u0647 \u062a\u0641\u06a9\u0631&#8221; \u06cc\u0627 &#8220;\u0631\u0627\u0647 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc&#8221; \u062a\u0648\u0635\u06cc\u0641 \u0645\u06cc \u0634\u0648\u062f.  \u0631\u0627\u06cc\u062c \u062a\u0631\u06cc\u0646 \u0646\u0645\u0648\u0646\u0647 \u0647\u0627 \u0627\u0632 \u062c\u0645\u0644\u0647 <strong><em>\u0628\u0631\u0646\u0627\u0645\u0647 \u0631\u06cc\u0632\u06cc \u0631\u0648\u06cc\u0647 \u0627\u06cc<\/em><\/strong>  (\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 C) <strong><em>\u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0634\u06cc \u06af\u0631\u0627<\/em><\/strong>  (\u0645\u062b\u0644\u0627 \u062c\u0627\u0648\u0627) \u0648 <strong><em>\u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u062a\u0627\u0628\u0639\u06cc<\/em><\/strong>  (\u0645\u062b\u0644\u0627 \u0647\u0633\u06a9\u0644).<\/p>\n<p>\u0627\u06a9\u062b\u0631 \u067e\u0627\u0631\u0627\u062f\u0627\u06cc\u0645 \u0647\u0627\u06cc \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0639\u0636\u0648\u06cc \u0627\u0632 \u06af\u0631\u0648\u0647 \u067e\u0627\u0631\u0627\u062f\u0627\u06cc\u0645 \u0627\u0645\u0631\u06cc \u06cc\u0627 \u0627\u0639\u0644\u0627\u0646\u06cc \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u06a9\u0631\u062f.<\/p>\n<blockquote>\n<p>\u062a\u0641\u0627\u0648\u062a \u0628\u06cc\u0646 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0627\u0645\u0631\u06cc \u0648 \u0627\u0639\u0644\u0627\u0645\u06cc \u0686\u06cc\u0633\u062a\u061f<\/p>\n<\/blockquote>\n<ul>\n<li><strong>\u0627\u0645\u0631\u06cc \u0636\u0631\u0648\u0631\u06cc<\/strong> \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc\u060c \u0628\u0647 \u0632\u0628\u0627\u0646 \u0633\u0627\u062f\u0647\u060c \u0645\u0628\u062a\u0646\u06cc \u0627\u0633\u062a \u0631\u0648\u06cc \u062a\u0648\u0633\u0639\u0647 \u062f\u0647\u0646\u062f\u0647 \u0631\u0627\u0647 \u062d\u0644\/\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0631\u0627 \u0628\u0631\u0627\u06cc \u062f\u0633\u062a\u06cc\u0627\u0628\u06cc \u0628\u0647 \u06cc\u06a9 \u0647\u062f\u0641 (\u0646\u0648\u0639\u06cc \u0646\u062a\u06cc\u062c\u0647) \u062a\u0648\u0635\u06cc\u0641 \u0645\u06cc \u06a9\u0646\u062f.  \u0627\u06cc\u0646 \u0628\u0627 \u062a\u063a\u06cc\u06cc\u0631 \u0648\u0636\u0639\u06cc\u062a \u0628\u0631\u0646\u0627\u0645\u0647 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u062f\u0633\u062a\u0648\u0631\u0627\u062a \u0627\u0646\u062a\u0633\u0627\u0628\u060c \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 \u062f\u0633\u062a\u0648\u0631\u0627\u0644\u0639\u0645\u0644 \u0647\u0627 \u0631\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u06af\u0627\u0645 \u0628\u0647 \u06af\u0627\u0645 \u0627\u062c\u0631\u0627 \u0645\u06cc \u06a9\u0646\u0646\u062f\u060c \u0627\u062a\u0641\u0627\u0642 \u0645\u06cc \u0627\u0641\u062a\u062f.  \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u062a\u0641\u0627\u0648\u062a \u0632\u06cc\u0627\u062f\u06cc \u062f\u0631 \u062a\u0631\u062a\u06cc\u0628 \u0646\u0648\u0634\u062a\u0647 \u0634\u062f\u0646 \u062f\u0633\u062a\u0648\u0631\u0627\u0644\u0639\u0645\u0644 \u0647\u0627 \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc \u06a9\u0646\u062f.<\/li>\n<li><strong>\u0627\u0639\u0644\u0627\u0645\u06cc<\/strong> \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0628\u0631\u0639\u06a9\u0633 \u0639\u0645\u0644 \u0645\u06cc \u06a9\u0646\u062f &#8211; \u0645\u0627 \u0645\u0631\u0627\u062d\u0644 \u0631\u0627 \u0646\u0645\u06cc \u0646\u0648\u06cc\u0633\u06cc\u0645 \u0631\u0648\u06cc \u0686\u06af\u0648\u0646\u0647 \u0628\u0647 \u06cc\u06a9 \u0647\u062f\u0641 \u0628\u0631\u0633\u06cc\u0645\u060c <em>\u0647\u062f\u0641 \u0631\u0627 \u0634\u0631\u062d \u0645\u06cc \u062f\u0647\u06cc\u0645<\/em>\u0648 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631 \u0631\u0627\u0647 \u062d\u0644\u06cc \u0628\u0647 \u0645\u0627 \u0645\u06cc \u062f\u0647\u062f.  \u06cc\u06a9 \u0645\u062b\u0627\u0644 \u0631\u0627\u06cc\u062c \u06a9\u0647 \u0628\u0627\u06cc\u062f \u0628\u0627 \u0622\u0646 \u0622\u0634\u0646\u0627 \u0628\u0627\u0634\u06cc\u062f SQL \u0627\u0633\u062a.  \u0628\u0647 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631 \u0645\u06cc\u06af\u06cc <em>\u0686\u06af\u0648\u0646\u0647<\/em> \u062a\u0627 \u0628\u0647 \u0634\u0645\u0627 \u0646\u062a\u0627\u06cc\u062c \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0631\u0627 \u0628\u062f\u0647\u062f\u061f  \u0646\u0647.<\/li>\n<\/ul>\n<h2 id=\"installingthepythonconstraintmodule\"><span class=\"ez-toc-section\" id=\"%d9%86%d8%b5%d8%a8_%da%a9%d8%b1%d8%af%d9%86_python%d9%85%d8%a7%da%98%d9%88%d9%84_%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\"><\/span>\u0646\u0635\u0628 \u06a9\u0631\u062f\u0646 python\u0645\u0627\u0698\u0648\u0644 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0627 \u0645\u0627\u0698\u0648\u0644\u06cc \u0628\u0647 \u0646\u0627\u0645 \u06a9\u0627\u0631 \u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f <code>python-constraint<\/code> (\u062a\u0648\u062c\u0647: \u06cc\u06a9 \u0645\u0627\u0698\u0648\u0644 \u0628\u0647 \u0646\u0627\u0645 &#8220;\u0645\u062d\u062f\u0648\u062f\u06cc\u062a&#8221; \u0628\u0631\u0627\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f\u060c \u0627\u06cc\u0646 \u0686\u06cc\u0632\u06cc \u0646\u06cc\u0633\u062a \u06a9\u0647 \u0645\u0627 \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645)\u060c \u06a9\u0647 \u0647\u062f\u0641 \u0622\u0646 \u0622\u0648\u0631\u062f\u0646 \u0627\u06cc\u062f\u0647 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0628\u0647 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0627\u0633\u062a.<\/p>\n<p>\u0628\u0631\u0627\u06cc \u0646\u0635\u0628 \u0627\u06cc\u0646 \u0645\u0627\u0698\u0648\u0644\u060c \u0622\u0646 \u0631\u0627 \u0628\u0627\u0632 \u06a9\u0646\u06cc\u062f terminal \u0648 \u0627\u062c\u0631\u0627:<\/p>\n<pre><code class=\"hljs\">$ pip install python-constraint\n<\/code><\/pre>\n<h2 id=\"basicsofusingpythonconstraint\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%a8%d8%a7%d9%86%db%8c_%d8%a7%d8%b3%d8%aa%d9%81%d8%a7%d8%af%d9%87_python-%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa\"><\/span>\u0645\u0628\u0627\u0646\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 python-\u0645\u062d\u062f\u0648\u062f\u06cc\u062a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0627\u06cc\u0646 \u0627\u0633\u06a9\u0644\u062a \u062a\u0639\u0645\u06cc\u0645 \u06cc\u0627\u0641\u062a\u0647 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u06cc\u0646 \u0645\u0627\u0698\u0648\u0644 \u0646\u0648\u0634\u062a\u0647 \u0634\u062f\u0647 \u0627\u0646\u062f (\u062a\u0648\u062c\u0647: \u0645\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645 <code>import constraint<\/code> \u0648 \u0646\u0647 <code>import python-constraint<\/code>)<\/p>\n<ul>\n<li>import <code>constraint<\/code><\/li>\n<li>\u06cc\u06a9 \u0645\u062a\u063a\u06cc\u0631 \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u0634\u06a9\u0644 \u0645\u0627 \u062a\u0639\u0631\u06cc\u0641 \u06a9\u0646\u06cc\u0645<\/li>\n<li>\u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u0648 \u0641\u0648\u0627\u0635\u0644 \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0647 \u0645\u0634\u06a9\u0644 \u062e\u0648\u062f \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f<\/li>\n<li>\u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627\u06cc \u062f\u0627\u062e\u0644\u06cc\/\u0633\u0641\u0627\u0631\u0634\u06cc \u0631\u0627 \u0628\u0647 \u0645\u0634\u06a9\u0644 \u062e\u0648\u062f \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f<\/li>\n<li>\u0631\u0627\u0647 \u062d\u0644 \u0647\u0627 \u0631\u0627 \u0628\u06cc\u0627\u0648\u0631\u06cc\u062f<\/li>\n<li>\u0631\u0627\u0647 \u062d\u0644 \u0647\u0627 \u0631\u0627 \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u062e\u0648\u062f \u062f\u0646\u0628\u0627\u0644 \u06a9\u0646\u06cc\u062f<\/li>\n<\/ul>\n<p>\u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u0642\u0628\u0644\u0627 \u0630\u06a9\u0631 \u0634\u062f\u060c \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0634\u06a9\u0644\u06cc \u0627\u0632 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0627\u0639\u0644\u0627\u0646\u06cc \u0627\u0633\u062a.  \u062a\u0631\u062a\u06cc\u0628 \u0627\u0638\u0647\u0627\u0631\u0627\u062a \u0645\u0647\u0645 \u0646\u06cc\u0633\u062a\u060c \u062a\u0627 \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0647\u0645\u0647 \u0686\u06cc\u0632 \u062f\u0631 \u067e\u0627\u06cc\u0627\u0646 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.  \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0634\u06a9\u0644\u0627\u062a\u06cc \u0645\u0627\u0646\u0646\u062f \u0632\u06cc\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n<h3 id=\"examplea\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%ab%d8%a7%d9%84_%d8%a7%d9%84%d9%81\"><\/span>\u0645\u062b\u0627\u0644 \u0627\u0644\u0641<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<pre><code class=\"hljs\">Find all (x,y) where x \u2208 {1,2,3} and 0 &lt;= y &lt; 10, and x + y &gt;= 5\n<\/code><\/pre>\n<p>\u0627\u06af\u0631 \u0628\u0647 \u0627\u06cc\u0646 \u062c\u0645\u0644\u0647 \u0646\u06af\u0627\u0647 \u06a9\u0646\u06cc\u0645\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0686\u0646\u062f\u06cc\u0646 \u0634\u0631\u0637 (\u0628\u06af\u0630\u0627\u0631\u06cc\u0645 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0628\u0646\u0627\u0645\u06cc\u0645) \u0628\u0628\u06cc\u0646\u06cc\u0645 <code>x<\/code> \u0648 <code>y<\/code> \u0628\u0627\u06cc\u062f \u0645\u0644\u0627\u0642\u0627\u062a \u06a9\u0646\u0646\u062f.<\/p>\n<p>\u0645\u062b\u0644\u0627\u060c <code>x<\/code> \u0628\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 &#8220;\u0645\u062d\u062f\u0648\u062f&#8221; \u0627\u0633\u062a <code>1,2,3<\/code>\u060c <code>y<\/code> \u0628\u0627\u06cc\u062f \u06a9\u0645\u062a\u0631 \u0627\u0632 <code>10<\/code> \u0648 \u0645\u062c\u0645\u0648\u0639 \u0622\u0646\u0647\u0627 \u0628\u0627\u06cc\u062f \u0628\u0632\u0631\u06af\u062a\u0631 \u06cc\u0627 \u0645\u0633\u0627\u0648\u06cc \u0628\u0627\u0634\u062f <code>5<\/code>.  \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u062f\u0631 \u0686\u0646\u062f \u062e\u0637 \u06a9\u062f \u0648 \u062f\u0631 \u0686\u0646\u062f \u062f\u0642\u06cc\u0642\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<p>\u0628\u0627 \u0646\u06af\u0627\u0647 \u06a9\u0631\u062f\u0646 \u0628\u0647 \u0645\u0634\u06a9\u0644 \u0628\u0627\u0644\u0627 \u0627\u062d\u062a\u0645\u0627\u0644\u0627 \u0641\u06a9\u0631 \u06a9\u0631\u062f\u06cc\u062f &#8220;\u067e\u0633 \u0686\u06cc\u061f \u0645\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646\u0645 \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0631\u0627 \u0628\u0627 2 \u062d\u0644\u0642\u0647 \u0648 \u0646\u0635\u0641 \u0641\u0646\u062c\u0627\u0646 \u0642\u0647\u0648\u0647 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u062f\u0631 \u06a9\u0645\u062a\u0631 \u0627\u0632 10 \u062f\u0642\u06cc\u0642\u0647 \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u0645&#8221;.<\/p>\n<p>\u0634\u0645\u0627 \u06a9\u0627\u0645\u0644\u0627\u064b \u062f\u0631\u0633\u062a \u0645\u06cc \u06af\u0648\u06cc\u06cc\u062f\u060c \u0627\u06af\u0631\u0686\u0647 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u0627\u06cc\u0646 \u0645\u062b\u0627\u0644 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u06cc\u062f\u0647 \u0627\u06cc \u062f\u0631 \u0645\u0648\u0631\u062f \u0627\u06cc\u0646\u06a9\u0647 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0628\u0627 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0628\u0647 \u0646\u0638\u0631 \u0645\u06cc \u0631\u0633\u062f \u0628\u0647 \u062f\u0633\u062a \u0622\u0648\u0631\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">import<\/span> constraint\n\nproblem = constraint.Problem()\n\nproblem.addVariable(<span class=\"hljs-string\">'x'<\/span>, (<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">2<\/span>,<span class=\"hljs-number\">3<\/span>))\nproblem.addVariable(<span class=\"hljs-string\">'y'<\/span>, <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">10<\/span>))\n\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">our_constraint<\/span>(<span class=\"hljs-params\">x, y<\/span>):<\/span>\n    <span class=\"hljs-keyword\">if<\/span> x + y &gt;= <span class=\"hljs-number\">5<\/span>:\n        <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-literal\">True<\/span>\n\nproblem.addConstraint(our_constraint, (<span class=\"hljs-string\">'x'<\/span>,<span class=\"hljs-string\">'y'<\/span>))\n\nsolutions = problem.getSolutions()\n\n\n\n\n\n\nlength = <span class=\"hljs-built_in\">len<\/span>(solutions)\n<span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"(x,y) \u2208 {\"<\/span>, end=<span class=\"hljs-string\">\"\"<\/span>)\n<span class=\"hljs-keyword\">for<\/span> index, solution <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">enumerate<\/span>(solutions):\n    <span class=\"hljs-keyword\">if<\/span> index == length - <span class=\"hljs-number\">1<\/span>:\n        <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"({},{})\"<\/span>.<span class=\"hljs-built_in\">format<\/span>(solution(<span class=\"hljs-string\">'x'<\/span>), solution(<span class=\"hljs-string\">'y'<\/span>)), end=<span class=\"hljs-string\">\"\"<\/span>)\n    <span class=\"hljs-keyword\">else<\/span>:\n        <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"({},{}),\"<\/span>.<span class=\"hljs-built_in\">format<\/span>(solution(<span class=\"hljs-string\">'x'<\/span>), solution(<span class=\"hljs-string\">'y'<\/span>)), end=<span class=\"hljs-string\">\"\"<\/span>)\n<span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"}\"<\/span>)\n<\/code><\/pre>\n<p>\u062e\u0631\u0648\u062c\u06cc:<\/p>\n<pre><code class=\"hljs\">(x,y) \u2208 {(3,9),(3,8),(3,7),(3,6),(3,5),(3,4),(3,3),(3,2),(2,9),(2,8),(2,7),(2,6),(2,5),(2,4),(2,3),(1,9),(1,8),(1,7),(1,6),(1,5),(1,4)}\n<\/code><\/pre>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0642\u062f\u0645 \u0628\u0647 \u0642\u062f\u0645 \u0627\u06cc\u0646 \u0628\u0631\u0646\u0627\u0645\u0647 \u0631\u0627 \u0645\u0631\u0648\u0631 \u06a9\u0646\u06cc\u0645.  \u0645\u0627 \u062f\u0648 \u0645\u062a\u063a\u06cc\u0631 \u062f\u0627\u0634\u062a\u06cc\u0645\u060c <code>x<\/code> \u0648 <code>y<\/code>.  \u0645\u0627 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0627 \u0645\u062d\u062f\u0648\u062f\u0647 \u0642\u0627\u0628\u0644 \u0642\u0628\u0648\u0644 \u0645\u0631\u0628\u0648\u0637\u0647 \u0628\u0647 \u0645\u0634\u06a9\u0644 \u062e\u0648\u062f \u0627\u0636\u0627\u0641\u0647 \u06a9\u0631\u062f\u0647 \u0627\u06cc\u0645.<\/p>\n<p>\u0627\u06cc\u0646 \u062f\u0648 \u062e\u0637 \u0628\u0647 \u0645\u0639\u0646\u0627\u06cc \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">I'm adding a variable x that can only have values (1,2,3), and a variable y that can only have values (0,1,2,..,9)\n<\/code><\/pre>\n<p>\u0633\u067e\u0633 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0633\u0641\u0627\u0631\u0634\u06cc \u062e\u0648\u062f \u0631\u0627 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc \u06a9\u0646\u06cc\u0645 (\u06cc\u0639\u0646\u06cc <code>x + y &gt;= 5<\/code>).  \u0645\u062a\u062f\u0647\u0627\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0642\u0631\u0627\u0631 \u0627\u0633\u062a \u0628\u0631\u06af\u0631\u062f\u0646\u062f <code>True<\/code> \u0627\u06af\u0631 \u062a\u0631\u06a9\u06cc\u0628\u06cc \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631 \u0642\u0627\u0628\u0644 \u0642\u0628\u0648\u0644 \u0628\u0627\u0634\u062f\u060c \u0648 <code>None<\/code> \u0627\u06af\u0631 \u0627\u06cc\u0646\u0637\u0648\u0631 \u0646\u06cc\u0633\u062a<\/p>\n<p>\u062f\u0631 \u0645\u0627 <code>our_constraint()<\/code> \u0631\u0648\u0634\u060c \u0645\u06cc \u06af\u0648\u06cc\u06cc\u0645 \u00ab\u062a\u0646\u0647\u0627 \u0648\u0636\u0639\u06cc\u062a \u0642\u0627\u0628\u0644 \u0642\u0628\u0648\u0644 \u0632\u0645\u0627\u0646\u06cc \u0627\u0633\u062a \u06a9\u0647 <code>x + y &gt;= 5<\/code>\u060c \u062f\u0631 \u063a\u06cc\u0631 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a \u0622\u0646 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0631\u0627 \u062f\u0631\u062c \u0646\u06a9\u0646\u06cc\u062f <code>(x,y)<\/code> \u062f\u0631 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0646\u0647\u0627\u06cc\u06cc.&#8221;<\/p>\n<p>\u067e\u0633 \u0627\u0632 \u062a\u0639\u0631\u06cc\u0641 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u062e\u0648\u062f\u060c \u0628\u0627\u06cc\u062f \u0622\u0646 \u0631\u0627 \u0628\u0647 \u0645\u0634\u06a9\u0644 \u062e\u0648\u062f \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u0645.  \u0633\u0627\u062e\u062a\u0627\u0631 <code>.addConstraint()<\/code> \u0631\u0648\u0634 \u0627\u06cc\u0646 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">addConstraint(which_constraint, list_of_variable_order)\n<\/code><\/pre>\n<p><strong>\u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f<\/strong>: \u062f\u0631 \u0645\u0648\u0631\u062f \u0645\u0627 \u0645\u0647\u0645 \u0646\u06cc\u0633\u062a \u06a9\u0647 \u0628\u0646\u0648\u06cc\u0633\u06cc\u0645 <code>(x,y)<\/code> \u06cc\u0627 <code>(y,x)<\/code> \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u062f\u0648\u0645 \u0645\u0627\u060c \u0627\u0645\u0627 \u062a\u0631\u062a\u06cc\u0628 \u062f\u0631 \u0628\u06cc\u0634\u062a\u0631 \u0645\u0648\u0627\u0631\u062f \u0645\u0647\u0645 \u0627\u0633\u062a.<\/p>\n<p>\u067e\u0633 \u0627\u0632 \u0622\u0646\u060c \u0645\u0627 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627 \u0631\u0627 \u0628\u0627 <code>problem.getSolutions()<\/code> (\u0644\u06cc\u0633\u062a\u06cc \u0627\u0632 \u062a\u0645\u0627\u0645 \u062a\u0631\u06a9\u06cc\u0628\u0627\u062a \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631 \u0631\u0627 \u06a9\u0647 \u0647\u0645\u0647 \u0634\u0631\u0627\u06cc\u0637 \u0631\u0627 \u0628\u0631\u0622\u0648\u0631\u062f\u0647 \u0645\u06cc \u06a9\u0646\u0646\u062f \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f) \u0648 \u0645\u0627 \u0622\u0646\u0647\u0627 \u0631\u0627 \u062a\u06a9\u0631\u0627\u0631 \u0645\u06cc \u06a9\u0646\u06cc\u0645.<\/p>\n<p><strong>\u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f<\/strong>: \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644 \u0627\u06af\u0631 \u0628\u062e\u0648\u0627\u0647\u06cc\u0645 \u0641\u0642\u0637 \u062a\u0631\u06a9\u06cc\u0628\u0627\u062a \u0631\u0627 \u062f\u0631 \u06a9\u062c\u0627 \u0648\u0627\u06a9\u0634\u06cc \u06a9\u0646\u06cc\u0645 <code>x \/= y<\/code>\u060c \u0642\u0628\u0644 \u0627\u0632 \u0648\u0627\u06a9\u0634\u06cc \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u060c \u06cc\u06a9 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u062f\u0627\u062e\u0644\u06cc \u0627\u0636\u0627\u0641\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\">problem.addConstraint(constraint.AllDifferentConstraint())\n<\/code><\/pre>\n<p>\u0634\u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0644\u06cc\u0633\u062a\u06cc \u0627\u0632 \u062a\u0645\u0627\u0645 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627\u06cc \u062f\u0627\u062e\u0644\u06cc \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f <a href=\"#listofbuiltinconstraints\" class=\"broken_link\">\u0627\u06cc\u0646\u062c\u0627<\/a>.  \u0627\u06cc\u0646 \u062a\u0642\u0631\u06cc\u0628\u0627\u064b \u0647\u0645\u0647 \u0686\u06cc\u0632\u0647\u0627\u06cc\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0634\u0645\u0627 \u0628\u0627\u06cc\u062f \u0628\u062f\u0627\u0646\u06cc\u062f \u062a\u0627 \u0628\u062a\u0648\u0627\u0646\u06cc\u062f \u0647\u0631 \u06a9\u0627\u0631\u06cc \u0627\u0632 \u0627\u06cc\u0646 \u0646\u0648\u0639 \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u062f.<\/p>\n<h2 id=\"warmupexamples\"><span class=\"ez-toc-section\" id=\"%d9%86%d9%85%d9%88%d9%86%d9%87_%d9%87%d8%a7%db%8c_%da%af%d8%b1%d9%85_%da%a9%d8%b1%d8%af%d9%86\"><\/span>\u0646\u0645\u0648\u0646\u0647 \u0647\u0627\u06cc \u06af\u0631\u0645 \u06a9\u0631\u062f\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 id=\"exampleb\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%ab%d8%a7%d9%84_b\"><\/span>\u0645\u062b\u0627\u0644 B<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0646\u0648\u0639\u06cc \u0627\u0632 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0645\u0634\u06a9\u0644 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u06a9\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0622\u0646 \u0633\u0631\u06af\u0631\u0645 \u06a9\u0646\u0646\u062f\u0647 \u0627\u0633\u062a \u0631\u0648\u06cc\u060c \u062a\u0645\u0627\u0633 \u06af\u0631\u0641\u062a <strong>\u067e\u0627\u0632\u0644 \u0647\u0627\u06cc \u062d\u0633\u0627\u0628\u06cc \u0631\u0645\u0632\u06cc<\/strong>.  \u062f\u0631 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0627\u0632 \u067e\u0627\u0632\u0644 \u0647\u0627\u06cc \u062d\u0633\u0627\u0628\u06cc \u0631\u0645\u0632\u06cc\u060c \u0647\u0631 \u06a9\u0627\u0631\u0627\u06a9\u062a\u0631 \u06cc\u06a9 \u0631\u0642\u0645 \u0645\u062a\u0641\u0627\u0648\u062a \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f (\u0634\u062e\u0635\u06cc\u062a \u0647\u0627\u06cc \u0627\u0635\u0644\u06cc \u0646\u0645\u06cc \u062a\u0648\u0627\u0646\u0646\u062f 0 \u0628\u0627\u0634\u0646\u062f):<\/p>\n<pre><code class=\"hljs\">TWO + TWO = FOUR\n<\/code><\/pre>\n<p>\u0628\u0647 \u0627\u06cc\u0646 \u0641\u06a9\u0631 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0645\u0639\u0645\u0648\u0644\u06cc \u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644 \u0631\u0627 \u062d\u0644 \u0645\u06cc \u06a9\u0646\u06cc\u062f.  \u062f\u0631 \u0648\u0627\u0642\u0639\u060c \u0645\u0646 \u0634\u0645\u0627 \u0631\u0627 \u062a\u0634\u0648\u06cc\u0642 \u0645\u06cc \u06a9\u0646\u0645 \u06a9\u0647 \u0631\u0627\u0647 \u062d\u0644 \u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644 \u0631\u0627 \u06a9\u0647 \u0627\u0632 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0636\u0631\u0648\u0631\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u062f\u060c \u062c\u0633\u062a\u062c\u0648 \u06a9\u0646\u06cc\u062f.<\/p>\n<p>\u0647\u0645\u0686\u0646\u06cc\u0646 \u0628\u0627\u06cc\u062f \u062a\u0645\u0627\u0645 \u062f\u0627\u0646\u0634\u06cc \u0631\u0627 \u06a9\u0647 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0622\u0646 \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u06cc\u062f \u0628\u0647 \u0634\u0645\u0627 \u0628\u062f\u0647\u062f <a href=\"#exampled\" class=\"broken_link\">\u0645\u062b\u0627\u0644 D<\/a> \u0631\u0648\u06cc  \u0645\u0627\u0644 \u062e\u0648\u062f\u062a<\/p>\n<p>\u0628\u0647 \u062e\u0627\u0637\u0631 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f \u06a9\u0647 &#8220;T&#8221; \u0648 &#8220;F&#8221; \u0646\u0645\u06cc \u062a\u0648\u0627\u0646\u0646\u062f \u0635\u0641\u0631 \u0628\u0627\u0634\u0646\u062f \u0632\u06cc\u0631\u0627 \u0622\u0646\u0647\u0627 \u0634\u062e\u0635\u06cc\u062a \u0647\u0627\u06cc \u0627\u0635\u0644\u06cc \u0647\u0633\u062a\u0646\u062f\u060c \u06cc\u0639\u0646\u06cc \u0627\u0648\u0644\u06cc\u0646 \u0631\u0642\u0645 \u06cc\u06a9 \u0639\u062f\u062f.<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">import<\/span> constraint\n\nproblem = constraint.Problem()\n\n\n\n\n\nproblem.addVariables(<span class=\"hljs-string\">\"TF\"<\/span>, <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">10<\/span>))\nproblem.addVariables(<span class=\"hljs-string\">\"WOUR\"<\/span>, <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">10<\/span>))\n\n\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">sum_constraint<\/span>(<span class=\"hljs-params\">t, w, o, f, u, r<\/span>):<\/span>\n    <span class=\"hljs-keyword\">if<\/span> <span class=\"hljs-number\">2<\/span>*(t*<span class=\"hljs-number\">100<\/span> + w*<span class=\"hljs-number\">10<\/span> + o) == f*<span class=\"hljs-number\">1000<\/span> + o*<span class=\"hljs-number\">100<\/span> + u*<span class=\"hljs-number\">10<\/span> + r:\n        <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-literal\">True<\/span>\n\n\n\nproblem.addConstraint(sum_constraint, <span class=\"hljs-string\">\"TWOFUR\"<\/span>)\n\n\n\nproblem.addConstraint(constraint.AllDifferentConstraint())\n\nsolutions = problem.getSolutions()\n<span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"Number of solutions found: {}\\n\"<\/span>.<span class=\"hljs-built_in\">format<\/span>(<span class=\"hljs-built_in\">len<\/span>(solutions)))\n\n\n<span class=\"hljs-keyword\">for<\/span> s <span class=\"hljs-keyword\">in<\/span> solutions:\n    <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"T = {}, W = {}, O = {}, F = {}, U = {}, R = {}\"<\/span>\n        .<span class=\"hljs-built_in\">format<\/span>(s(<span class=\"hljs-string\">'T'<\/span>), s(<span class=\"hljs-string\">'W'<\/span>), s(<span class=\"hljs-string\">'O'<\/span>), s(<span class=\"hljs-string\">'F'<\/span>), s(<span class=\"hljs-string\">'U'<\/span>), s(<span class=\"hljs-string\">'R'<\/span>)))\n<\/code><\/pre>\n<p>\u0628\u0627 \u0627\u062c\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0642\u0637\u0639\u0647 \u06a9\u062f\u060c \u0628\u0627 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0645\u0645\u06a9\u0646 \u0645\u0648\u0627\u062c\u0647 \u0645\u06cc \u0634\u0648\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\">Number of solutions found: 7\n\nT = 7, W = 6, O = 5, F = 1, U = 3, R = 0\nT = 7, W = 3, O = 4, F = 1, U = 6, R = 8\nT = 8, W = 6, O = 7, F = 1, U = 3, R = 4\nT = 8, W = 4, O = 6, F = 1, U = 9, R = 2\nT = 8, W = 3, O = 6, F = 1, U = 7, R = 2\nT = 9, W = 2, O = 8, F = 1, U = 5, R = 6\nT = 9, W = 3, O = 8, F = 1, U = 7, R = 6\n<\/code><\/pre>\n<h3 id=\"examplec\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%ab%d8%a7%d9%84_%d8%ac\"><\/span>\u0645\u062b\u0627\u0644 \u062c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<pre><code class=\"hljs\">You recently got a job as a cashier. You're trying to convince your friend that it's hard work, there are just SO many ways to give someone their change back! Your \"friend\" shakes his head, obviously not believing you. He says \"It can't be that bad. How many ways can there POSSIBLY be to give someone their change back, for like 60 cents?\".\n\nYour response is, of course, to sit and quickly write a program that would prove your point. You have a decent amount of pennies (1 cent), nickels (5 cents), dimes (10 cents) and quarters (25 cents), and a lot of kinda suspicious coins worth 3 cents each. Calculate in how many ways you can return change for 60 cents.\n<\/code><\/pre>\n<p><strong>\u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f<\/strong>: \u062a\u0631\u062a\u06cc\u0628 \u0686\u0627\u067e \u0646\u062a\u06cc\u062c\u0647 \u0645\u0627 \u0644\u0632\u0648\u0645\u0627\u064b \u0628\u0627 \u062a\u0631\u062a\u06cc\u0628\u06cc \u06a9\u0647 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u0631\u0627 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0631\u062f\u0647 \u0627\u06cc\u0645 \u06cc\u06a9\u0633\u0627\u0646 \u0646\u06cc\u0633\u062a.  \u06cc\u0639\u0646\u06cc \u0627\u06af\u0631 \u0646\u062a\u06cc\u062c\u0647 \u0627\u06cc\u0646 \u0628\u0627\u0634\u062f (<code>a,b,c,d,e<\/code>) \u0646\u0645\u06cc \u062f\u0627\u0646\u06cc\u0645 \u06a9\u0647 \u062f\u0627\u0631\u06cc\u0645 \u06cc\u0627 \u0646\u0647 <code>a<\/code> \u0627\u0632 \u0633\u06a9\u0647 \u0647\u0627\u06cc 1 \u0633\u0646\u062a\u060c <code>b<\/code> \u0633\u06a9\u0647 \u0647\u0627\u06cc 3 \u0633\u0646\u062a \u0648 \u063a\u06cc\u0631\u0647<\/p>\n<p>\u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0645\u0627 \u0628\u0627\u06cc\u062f \u0628\u0647 \u0635\u0631\u0627\u062d\u062a print \u0645\u062a\u063a\u06cc\u0631 \u0648 \u0645\u0642\u062f\u0627\u0631 \u0622\u0646  \u06cc\u06a9\u06cc \u0627\u0632 \u067e\u06cc\u0627\u0645\u062f\u0647\u0627\u06cc \u0627\u06cc\u0646 \u0627\u0645\u0631 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0645\u0627 \u0646\u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u0632 \u062f\u0627\u062e\u0644\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645 <code>.ExactSumConstraint()<\/code> \u0628\u0647 \u0634\u06a9\u0644 \u062f\u0648 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u06cc \u062e\u0648\u062f\u060c <code>ExactSumConstraint(50,(1,3,5,10,20))<\/code>.<\/p>\n<p>\u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u062f\u0648\u0645 \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 &#8220;\u0648\u0632\u0646&#8221; \u0647\u0631 \u0645\u062a\u063a\u06cc\u0631 \u0627\u0633\u062a (\u0686\u0646\u062f \u0628\u0627\u0631 \u0628\u0627\u06cc\u062f \u0636\u0631\u0628 \u0634\u0648\u062f) \u0648 \u0645\u0627 \u0647\u06cc\u0686 \u062a\u0636\u0645\u06cc\u0646\u06cc \u0646\u062f\u0627\u0631\u06cc\u0645 \u06a9\u0647 \u06a9\u062f\u0627\u0645 \u06cc\u06a9 \u0627\u0632 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u0645\u0627 \u0686\u0647 \u0648\u0632\u0646\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f.<\/p>\n<p>\u0627\u06cc\u0646 \u06cc\u06a9 \u0627\u0634\u062a\u0628\u0627\u0647 \u0631\u0627\u06cc\u062c \u0627\u0633\u062a \u06a9\u0647 \u0641\u0631\u0636 \u06a9\u0646\u06cc\u0645 \u0648\u0632\u0646\u200c\u0647\u0627 \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 \u0627\u0636\u0627\u0641\u0647 \u0634\u062f\u0646 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u0628\u0647 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u062a\u062e\u0635\u06cc\u0635 \u062f\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f\u060c \u062f\u0631 \u0639\u0648\u0636 \u0627\u0632 \u0641\u0631\u0645 \u0633\u0647 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u06cc \u0627\u06cc\u0646 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u062f\u0627\u062e\u0644\u06cc \u062f\u0631 \u06a9\u062f \u0632\u06cc\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">import<\/span> constraint\n\nproblem = constraint.Problem()\n\n\n\n\nproblem.addVariable(<span class=\"hljs-string\">\"1 cent\"<\/span>, <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">61<\/span>))\nproblem.addVariable(<span class=\"hljs-string\">\"3 cent\"<\/span>, <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">21<\/span>))\nproblem.addVariable(<span class=\"hljs-string\">\"5 cent\"<\/span>, <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">13<\/span>))\nproblem.addVariable(<span class=\"hljs-string\">\"10 cent\"<\/span>, <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">7<\/span>))\nproblem.addVariable(<span class=\"hljs-string\">\"20 cent\"<\/span>, <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">4<\/span>))\n\nproblem.addConstraint(\n    constraint.ExactSumConstraint(<span class=\"hljs-number\">60<\/span>,(<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">3<\/span>,<span class=\"hljs-number\">5<\/span>,<span class=\"hljs-number\">10<\/span>,<span class=\"hljs-number\">20<\/span>)),\n    (<span class=\"hljs-string\">\"1 cent\"<\/span>, <span class=\"hljs-string\">\"3 cent\"<\/span>, <span class=\"hljs-string\">\"5 cent\"<\/span>,<span class=\"hljs-string\">\"10 cent\"<\/span>, <span class=\"hljs-string\">\"20 cent\"<\/span>)\n)\n\n\n\n\n\n\n\n\n\n\n\n\n\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">print_solutions<\/span>(<span class=\"hljs-params\">solutions<\/span>):<\/span>\n    <span class=\"hljs-keyword\">for<\/span> s <span class=\"hljs-keyword\">in<\/span> sols:\n        <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"---\"<\/span>)\n        <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"\"\"\n        1 cent: {0:d}\n        3 cent: {1:d}\n        5 cent: {2:d}\n        10 cent: {3:d}\n        20 cent: {4:d}\"\"\"<\/span>.<span class=\"hljs-built_in\">format<\/span>(s(<span class=\"hljs-string\">\"1 cent\"<\/span>), s(<span class=\"hljs-string\">\"3 cent\"<\/span>), s(<span class=\"hljs-string\">\"5 cent\"<\/span>), s(<span class=\"hljs-string\">\"10 cent\"<\/span>), s(<span class=\"hljs-string\">\"20 cent\"<\/span>)))\n        \n        \n        \n\nsolutions = problem.getSolutions()\n\n<span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"Total number of ways: {}\"<\/span>.<span class=\"hljs-built_in\">format<\/span>(<span class=\"hljs-built_in\">len<\/span>(solutions)))\n<\/code><\/pre>\n<p>\u0628\u0627 \u0627\u062c\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0642\u0637\u0639\u0647 \u06a9\u062f \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc \u0622\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">Total number of ways: 535\n<\/code><\/pre>\n<h3 id=\"exampled\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%ab%d8%a7%d9%84_d\"><\/span>\u0645\u062b\u0627\u0644 D<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<pre><code class=\"hljs\">CRASH + ERROR + REBOOT = HACKER\n<\/code><\/pre>\n<p>\u0645\u062b\u0627\u0644 B \u0648 D \u0647\u0646\u06af\u0627\u0645 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627 \u062a\u0642\u0631\u06cc\u0628\u0627\u064b \u06cc\u06a9\u0633\u0627\u0646 \u0647\u0633\u062a\u0646\u062f\u060c \u0641\u0642\u0637 \u0686\u0646\u062f \u0645\u062a\u063a\u06cc\u0631 \u0628\u0627\u0644\u0627 \u0648 \u067e\u0627\u06cc\u06cc\u0646 \u0648 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627\u06cc \u067e\u0631\u0645\u062e\u0627\u0637\u0628 \u062a\u0631.  \u0627\u06cc\u0646 \u06cc\u06a9 \u0686\u06cc\u0632 \u062e\u0648\u0628 \u062f\u0631 \u0645\u0648\u0631\u062f \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0627\u0633\u062a &#8211; \u0645\u0642\u06cc\u0627\u0633 \u067e\u0630\u06cc\u0631\u06cc \u062e\u0648\u0628\u060c \u062d\u062f\u0627\u0642\u0644 \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0632\u0645\u0627\u0646 \u0635\u0631\u0641 \u0634\u062f\u0647 \u0628\u0631\u0627\u06cc \u06a9\u062f\u0646\u0648\u06cc\u0633\u06cc \u0645\u0631\u0628\u0648\u0637 \u0645\u06cc \u0634\u0648\u062f.  \u062a\u0646\u0647\u0627 \u06cc\u06a9 \u0631\u0627\u0647 \u062d\u0644 \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0645\u0639\u0645\u0627 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u0648 \u0622\u0646 A=3 B=7 C=8 E=2 H=6 K=0 O=1 R=5 S=9 T=4 \u0627\u0633\u062a.<\/p>\n<p>\u0647\u0631 \u062f\u0648\u06cc \u0627\u06cc\u0646 \u0646\u0648\u0639 \u06a9\u0627\u0631\u0647\u0627 (\u0645\u062e\u0635\u0648\u0635\u0627\u064b crypt-arthmetic) \u0628\u06cc\u0634\u062a\u0631 \u0628\u0631\u0627\u06cc \u0633\u0631\u06af\u0631\u0645\u06cc \u0648 \u0628\u0631\u0627\u06cc \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0646 \u0622\u0633\u0627\u0646 \u0631\u0648\u0634 \u0639\u0645\u0644\u06a9\u0631\u062f \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f\u060c \u0627\u0645\u0627 \u0634\u0631\u0627\u06cc\u0637 \u062e\u0627\u0635\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u062f\u0627\u0631\u0627\u06cc \u0627\u0631\u0632\u0634 \u0639\u0645\u0644\u06cc \u0627\u0633\u062a.<\/p>\n<p>\u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u062d\u062f\u0627\u0642\u0644 \u062a\u0639\u062f\u0627\u062f \u0627\u06cc\u0633\u062a\u06af\u0627\u0647\u200c\u0647\u0627\u06cc \u067e\u062e\u0634 \u0631\u0627 \u0628\u0631\u0627\u06cc \u067e\u0648\u0634\u0634 \u06cc\u06a9 \u0645\u0646\u0637\u0642\u0647 \u062e\u0627\u0635 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u0645\u060c \u06cc\u0627 \u0631\u0648\u0634 \u062a\u0646\u0638\u06cc\u0645 \u0686\u0631\u0627\u063a\u200c\u0647\u0627\u06cc \u0631\u0627\u0647\u0646\u0645\u0627\u06cc\u06cc \u0631\u0627 \u0628\u0647 \u06af\u0648\u0646\u0647\u200c\u0627\u06cc \u06a9\u0647 \u062c\u0631\u06cc\u0627\u0646 \u062a\u0631\u0627\u0641\u06cc\u06a9 \u0628\u0647\u06cc\u0646\u0647 \u0628\u0627\u0634\u062f\u060c \u062f\u0631\u06cc\u0627\u0628\u06cc\u0645.  \u0628\u0647 \u0637\u0648\u0631 \u06a9\u0644\u06cc &#8211; \u0627\u0632 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627 \u062f\u0631 \u062c\u0627\u06cc\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f \u06a9\u0647 \u062a\u0631\u06a9\u06cc\u0628\u0627\u062a \u0627\u062d\u062a\u0645\u0627\u0644\u06cc \u0632\u06cc\u0627\u062f\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.<\/p>\n<p>\u0627\u06cc\u0646 \u0645\u062b\u0627\u0644 \u0647\u0627 \u0628\u0631\u0627\u06cc \u0645\u062d\u062f\u0648\u062f\u0647 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0633\u06cc\u0627\u0631 \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0647\u0633\u062a\u0646\u062f\u060c \u0627\u0645\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u0646\u062f \u06a9\u0647 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u062f\u0631 \u062f\u0646\u06cc\u0627\u06cc \u0648\u0627\u0642\u0639\u06cc \u06a9\u0627\u0631\u0628\u0631\u062f \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f.<\/p>\n<h2 id=\"harderexamples\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%ab%d8%a7%d9%84_%d9%87%d8%a7%db%8c_%d8%b3%d8%ae%d8%aa_%d8%aa%d8%b1\"><\/span>\u0645\u062b\u0627\u0644 \u0647\u0627\u06cc \u0633\u062e\u062a \u062a\u0631<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 id=\"examplee\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%ab%d8%a7%d9%84_e\"><\/span>\u0645\u062b\u0627\u0644 E<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<pre><code class=\"hljs\">You wish to pack chocolates for your mother. Luckily you work in a chocolate factory that has a lot of leftover chocolate. You have a few chocolate types at your disposal.\n\nYour goal is to bring her the sweetest chocolate possible, that you can pack in your bag and sneak through security, and that wouldn't pass a certain net value for which you'd go to prison if you got caught.\n\nSecurity most likely won't get suspicious if you bring less than 3kg. You can fit 1 dm^3 of chocolate in your bag. You won't go to jail if you steal less than $300 worth of chocolate.\n<\/code><\/pre>\n<table class=\"table table-striped\" style=\"width:100%\">\n<thead>\n<tr align=\"center\">\n<th>\u0627\u0633\u0645 \u0634\u06a9\u0644\u0627\u062a<\/th>\n<th>\u0648\u0632\u0646 (\u06af\u0631\u0645)<\/th>\n<th>\u0627\u0628\u0639\u0627\u062f (\u0633\u0627\u0646\u062a\u06cc \u0645\u062a\u0631)<\/th>\n<th>\u0634\u06cc\u0631\u06cc\u0646\u06cc<\/th>\n<th>\u0627\u0631\u0632\u0634 ($)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr align=\"center\">\n<td>\u0634\u06a9\u0644\u0627\u062a A<\/td>\n<td>100<\/td>\n<td>8 \u00d7 2.5 \u00d7 0.5<\/td>\n<td>20<\/td>\n<td>8<\/td>\n<\/tr>\n<tr align=\"center\">\n<td>\u0634\u06a9\u0644\u0627\u062a B<\/td>\n<td>45<\/td>\n<td>7 \u00d7 2 \u00d7 0.5<\/td>\n<td>16<\/td>\n<td>6.8<\/td>\n<\/tr>\n<tr align=\"center\">\n<td>\u0634\u06a9\u0644\u0627\u062a \u0633\u06cc<\/td>\n<td>10<\/td>\n<td>3 \u00d7 2 \u00d7 0.5<\/td>\n<td>9<\/td>\n<td>4<\/td>\n<\/tr>\n<tr align=\"center\">\n<td>\u0634\u06a9\u0644\u0627\u062a \u062f\u06cc<\/td>\n<td>25<\/td>\n<td>3 \u00d7 3 \u00d7 0.5<\/td>\n<td>7<\/td>\n<td>3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u062d\u0627\u0644\u0627 \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0622\u0633\u062a\u06cc\u0646 \u0647\u0627 \u0631\u0627 \u0628\u0627\u0644\u0627 \u0628\u0632\u0646\u06cc\u0645 \u0648 \u0634\u0631\u0648\u0639 \u06a9\u0646\u06cc\u0645.  \u0627\u06af\u0631 \u0645\u062b\u0627\u0644 \u0647\u0627\u06cc \u0642\u0628\u0644\u06cc \u0631\u0627 \u0641\u0647\u0645\u06cc\u062f\u0647 \u0628\u0627\u0634\u06cc\u062f \u0646\u0628\u0627\u06cc\u062f \u062e\u06cc\u0644\u06cc \u0633\u062e\u062a \u0628\u0627\u0634\u062f.<\/p>\n<p>\u0627\u0628\u062a\u062f\u0627 \u0645\u062a\u0648\u062c\u0647 \u0645\u06cc\u200c\u0634\u0648\u06cc\u0645 \u06a9\u0647 \u0627\u06af\u0631 \u0641\u0642\u0637 \u0622\u0646 \u0646\u0648\u0639 \u0634\u06a9\u0644\u0627\u062a \u0631\u0627 \u0628\u06cc\u0627\u0648\u0631\u06cc\u0645\u060c \u0686\u0647 \u0645\u0642\u062f\u0627\u0631 \u0627\u0632 \u0647\u0631 \u0634\u06a9\u0644\u0627\u062a \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u0645\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u062d\u062f \u0628\u0627\u0644\u0627\u06cc\u06cc \u0641\u0648\u0627\u0635\u0644 \u062e\u0648\u062f \u0631\u0627 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u0645.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0628\u0631\u0627\u06cc \u0634\u06a9\u0644\u0627\u062a A\u060c \u0628\u0631 \u0627\u0633\u0627\u0633 \u0631\u0648\u06cc \u0648\u0632\u0646 \u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u062d\u062f\u0627\u06a9\u062b\u0631 30 \u0645\u06cc\u0644\u0647\u060c \u0628\u0631 \u0627\u0633\u0627\u0633 \u0631\u0648\u06cc \u0627\u0631\u0632\u0634 \u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u062d\u062f\u0627\u06a9\u062b\u0631 37 \u0648 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0631\u0648\u06cc \u062d\u062c\u0645 \u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 100 \u0628\u06cc\u0627\u0648\u0631\u06cc\u0645.<\/p>\n<p>\u06a9\u0648\u0686\u06a9\u062a\u0631\u06cc\u0646 \u0627\u06cc\u0646 \u0627\u0639\u062f\u0627\u062f 30 \u0627\u0633\u062a \u0648 \u0627\u06cc\u0646 \u062d\u062f\u0627\u06a9\u062b\u0631 \u062a\u0639\u062f\u0627\u062f \u0634\u06a9\u0644\u0627\u062a A \u0627\u0633\u062a \u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0628\u06cc\u0627\u0648\u0631\u06cc\u0645.  \u0647\u0645\u06cc\u0646 \u0645\u0631\u0627\u062d\u0644 \u062d\u062f\u0627\u06a9\u062b\u0631 \u0645\u0642\u062f\u0627\u0631 \u0628\u0642\u06cc\u0647 \u0631\u0627 \u0628\u0647 \u0645\u0627 \u0645\u06cc \u062f\u0647\u062f\u060c <strong>B -> 44\u060c C -> 75\u060c D -> 100<\/strong>.<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">import<\/span> constraint\n\nproblem = constraint.Problem()\n\nproblem.addVariable(<span class=\"hljs-string\">'A'<\/span>, <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">31<\/span>))\nproblem.addVariable(<span class=\"hljs-string\">'B'<\/span>, <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">45<\/span>))\nproblem.addVariable(<span class=\"hljs-string\">'C'<\/span>, <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">76<\/span>))\nproblem.addVariable(<span class=\"hljs-string\">'D'<\/span>, <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">101<\/span>))\n\n\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">weight_constraint<\/span>(<span class=\"hljs-params\">a, b, c, d<\/span>):<\/span>\n    <span class=\"hljs-keyword\">if<\/span> (a*<span class=\"hljs-number\">100<\/span> + b*<span class=\"hljs-number\">45<\/span> + c*<span class=\"hljs-number\">10<\/span> + d*<span class=\"hljs-number\">25<\/span>) &lt;= <span class=\"hljs-number\">3000<\/span>:\n        <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-literal\">True<\/span>\n\n\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">volume_constraint<\/span>(<span class=\"hljs-params\">a, b, c, d<\/span>):<\/span>\n    <span class=\"hljs-keyword\">if<\/span> (a*<span class=\"hljs-number\">8<\/span>*<span class=\"hljs-number\">2.5<\/span>*<span class=\"hljs-number\">0.5<\/span> + b*<span class=\"hljs-number\">6<\/span>*<span class=\"hljs-number\">2<\/span>*<span class=\"hljs-number\">0.5<\/span> * c*<span class=\"hljs-number\">2<\/span>*<span class=\"hljs-number\">2<\/span>*<span class=\"hljs-number\">0.5<\/span> + d*<span class=\"hljs-number\">3<\/span>*<span class=\"hljs-number\">3<\/span>*<span class=\"hljs-number\">0.5<\/span>) &lt;= <span class=\"hljs-number\">1000<\/span>:\n        <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-literal\">True<\/span>\n\n\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">value_constraint<\/span>(<span class=\"hljs-params\">a, b, c, d<\/span>):<\/span>\n    <span class=\"hljs-keyword\">if<\/span> (a*<span class=\"hljs-number\">8<\/span> + b*<span class=\"hljs-number\">6.8<\/span> + c*<span class=\"hljs-number\">4<\/span> + d*<span class=\"hljs-number\">3<\/span>) &lt; <span class=\"hljs-number\">300<\/span>:\n        <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-literal\">True<\/span>\n\nproblem.addConstraint(weight_constraint, <span class=\"hljs-string\">\"ABCD\"<\/span>)\nproblem.addConstraint(volume_constraint, <span class=\"hljs-string\">\"ABCD\"<\/span>)\nproblem.addConstraint(value_constraint, <span class=\"hljs-string\">\"ABCD\"<\/span>)\n\nmaximum_sweetness = <span class=\"hljs-number\">0<\/span>\nsolution_found = {}\nsolutions = problem.getSolutions()\n\n<span class=\"hljs-keyword\">for<\/span> s <span class=\"hljs-keyword\">in<\/span> solutions:\n    current_sweetness = s(<span class=\"hljs-string\">'A'<\/span>)*<span class=\"hljs-number\">10<\/span> + s(<span class=\"hljs-string\">'B'<\/span>)*<span class=\"hljs-number\">8<\/span> + s(<span class=\"hljs-string\">'C'<\/span>)*<span class=\"hljs-number\">4.5<\/span> + s(<span class=\"hljs-string\">'D'<\/span>)*<span class=\"hljs-number\">3.5<\/span>\n    <span class=\"hljs-keyword\">if<\/span> current_sweetness &gt; maximum_sweetness:\n        maximum_sweetness = current_sweetness\n        solution_found = s\n\n<span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"\"\"\nThe maximum sweetness we can bring is: {}\nWe'll bring:\n{} A Chocolates,\n{} B Chocolates,\n{} C Chocolates,\n{} D Chocolates\n\"\"\"<\/span>.<span class=\"hljs-built_in\">format<\/span>(maximum_sweetness, solution_found(<span class=\"hljs-string\">'A'<\/span>), solution_found(<span class=\"hljs-string\">'B'<\/span>), solution_found(<span class=\"hljs-string\">'C'<\/span>), solution_found(<span class=\"hljs-string\">'D'<\/span>)))\n<\/code><\/pre>\n<p>\u0628\u0627 \u0627\u062c\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0642\u0637\u0639\u0647 \u06a9\u062f \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc \u0622\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">The maximum sweetness we can bring is: 365.0\nWe'll bring:\n27 A Chocolates,\n2 B Chocolates,\n16 C Chocolates,\n2 D Chocolates\n<\/code><\/pre>\n<p><strong>\u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f<\/strong>: \u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u062a\u0645\u0627\u0645 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0647\u0631 \u0646\u0648\u0639 \u0634\u06a9\u0644\u0627\u062a \u0631\u0627 \u062f\u0631 \u06cc\u06a9 \u0641\u0631\u0647\u0646\u06af \u0644\u063a\u062a \u0630\u062e\u06cc\u0631\u0647 \u06a9\u0646\u06cc\u0645\u060c \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 <code>weight_dictionary = {'A' : 100, 'B' : 45, 'C' : 10, 'D' : 25}<\/code>\u0648 \u062f\u0633\u062a\u0631\u0633\u06cc \u0628\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0627\u0632 \u0627\u06cc\u0646 \u0637\u0631\u06cc\u0642\u060c \u0628\u0647 \u062c\u0627\u06cc \u0647\u0627\u0631\u062f\u06a9\u062f \u06a9\u0631\u062f\u0646 \u0622\u0646\u0647\u0627 \u062f\u0631 \u062a\u0648\u0627\u0628\u0639.  \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0628\u0631\u0627\u06cc \u062e\u0648\u0627\u0646\u0627\u06cc\u06cc\u060c \u0637\u0648\u0644 \u06a9\u062f \u0648 \u062a\u0645\u0631\u06a9\u0632 \u0631\u0648\u06cc \u0686\u06cc\u0632\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0622\u0645\u0648\u0632\u0634 \u0645\u0647\u0645 \u062a\u0631 \u0627\u0633\u062a\u060c \u062a\u0631\u062c\u06cc\u062d \u0645\u06cc \u062f\u0647\u0645 \u062f\u0631 \u062e\u0648\u062f \u062a\u0648\u0627\u0628\u0639 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627\u0631\u062f\u06a9\u062f \u06a9\u0646\u0645.<\/p>\n<p><strong>\u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f<\/strong>: \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u064b \u0645\u062a\u0648\u062c\u0647 \u0634\u062f\u0647 \u0627\u06cc\u062f \u06a9\u0647 \u0645\u062f\u062a\u06cc \u0637\u0648\u0644 \u06a9\u0634\u06cc\u062f \u062a\u0627 \u0627\u06cc\u0646 \u0646\u062a\u06cc\u062c\u0647 \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u0648\u062f\u060c \u0627\u06cc\u0646 \u06cc\u06a9 \u0627\u0633\u062a <a href=\"#conclusionanddrawbacks\" class=\"broken_link\">\u0627\u0634\u06a9\u0627\u0644<\/a> \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a<\/p>\n<h3 id=\"examplef\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%ab%d8%a7%d9%84_f\"><\/span>\u0645\u062b\u0627\u0644 F<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0627\u06a9\u0646\u0648\u0646 \u0628\u0631\u0627\u06cc \u0686\u06cc\u0632\u0647\u0627\u06cc \u0633\u0631\u06af\u0631\u0645 \u06a9\u0646\u0646\u062f\u0647 \u062a\u0631 &#8211; \u0628\u06cc\u0627\u06cc\u06cc\u062f \u06cc\u06a9 \u062d\u0644 \u06a9\u0646\u0646\u062f\u0647 \u0633\u0648\u062f\u0648\u06a9\u0648 (9&#215;9 \u06a9\u0644\u0627\u0633\u06cc\u06a9) \u0628\u0633\u0627\u0632\u06cc\u0645.  \u0645\u0627 \u067e\u0627\u0632\u0644 \u0631\u0627 \u0627\u0632 \u06cc\u06a9 \u0641\u0627\u06cc\u0644 JSON \u0645\u06cc \u062e\u0648\u0627\u0646\u06cc\u0645 \u0648 \u0647\u0645\u0647 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0622\u0646 \u0645\u0639\u0645\u0627\u06cc \u062e\u0627\u0635 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u0645\u06cc \u06a9\u0646\u06cc\u0645 (\u0628\u0627 \u0641\u0631\u0636 \u0627\u06cc\u0646\u06a9\u0647 \u067e\u0627\u0632\u0644 \u0631\u0627\u0647 \u062d\u0644\u06cc \u062f\u0627\u0631\u062f).<\/p>\n<p>\u0627\u06af\u0631 \u0642\u0648\u0627\u0646\u06cc\u0646 \u062d\u0644 \u0633\u0648\u062f\u0648\u06a9\u0648 \u0631\u0627 \u0641\u0631\u0627\u0645\u0648\u0634 \u06a9\u0631\u062f\u0647 \u0627\u06cc\u062f:<\/p>\n<ul>\n<li>\u0633\u0644\u0648\u0644 \u0647\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u0646\u062f \u0645\u0642\u0627\u062f\u06cc\u0631 1 &#8211; 9 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f<\/li>\n<li>\u0647\u0645\u0647 \u0633\u0644\u0648\u0644 \u0647\u0627\u06cc \u06cc\u06a9 \u0631\u062f\u06cc\u0641 \u0628\u0627\u06cc\u062f \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u0641\u0627\u0648\u062a\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f<\/li>\n<li>\u0647\u0645\u0647 \u0633\u0644\u0648\u0644 \u0647\u0627\u06cc \u06cc\u06a9 \u0633\u062a\u0648\u0646 \u0628\u0627\u06cc\u062f \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u0641\u0627\u0648\u062a\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f<\/li>\n<li>\u0647\u0645\u0647 \u0633\u0644\u0648\u0644\u200c\u0647\u0627\u06cc \u06cc\u06a9 \u0645\u0631\u0628\u0639 3\u00d73 (\u062f\u0631 \u0645\u062c\u0645\u0648\u0639 9 \u062e\u0627\u0646\u0647) \u0628\u0627\u06cc\u062f \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u0641\u0627\u0648\u062a\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f<\/li>\n<\/ul>\n<p>\u06cc\u06a9\u06cc \u0627\u0632 \u0645\u0633\u0627\u0626\u0644 \u0627\u06cc\u0646 \u0628\u0631\u0646\u0627\u0645\u0647 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0631\u0627 \u0630\u062e\u06cc\u0631\u0647 \u06a9\u0646\u06cc\u0645\u061f  \u0645\u0627 \u0646\u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0641\u0642\u0637 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u0645\u062a\u063a\u06cc\u0631 \u0628\u0647 \u0645\u0634\u06a9\u0644 \u062e\u0648\u062f \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u0645 \u0648 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0631\u0627 \u0628\u0647 \u0634\u06a9\u0644 \u062c\u0627\u062f\u0648\u06cc\u06cc \u0628\u0641\u0647\u0645\u06cc\u0645 \u06a9\u0647 \u0645\u0627 \u0686\u0647 \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645.<\/p>\n<p>\u0645\u0627 \u0627\u0632 \u0633\u06cc\u0633\u062a\u0645\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0628\u0627 \u0627\u0639\u062f\u0627\u062f \u0645\u0627\u0646\u0646\u062f \u0646\u0627\u0645 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u0631\u0641\u062a\u0627\u0631 \u0645\u06cc \u06a9\u0646\u06cc\u0645 (\u06a9\u0647 \u0645\u062c\u0627\u0632 \u0627\u0633\u062a) \u0648 \u0648\u0627\u0646\u0645\u0648\u062f \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633 \u062f\u0627\u0631\u06cc\u0645.  \u0634\u0627\u062e\u0635 \u0647\u0627 \u0627\u0632 (1,1) \u0628\u0647 \u062c\u0627\u06cc \u0645\u0639\u0645\u0648\u0644 (0,0) \u0634\u0631\u0648\u0639 \u0645\u06cc \u0634\u0648\u0646\u062f.  \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0622\u0646\u060c \u0628\u0647 \u0639\u0646\u0627\u0635\u0631 \u062a\u062e\u062a\u0647 \u0628\u0647 \u0631\u0648\u0634\u06cc \u06a9\u0647 \u0628\u0647 \u0622\u0646 \u0639\u0627\u062f\u062a \u06a9\u0631\u062f\u0647 \u0627\u06cc\u0645 \u062f\u0633\u062a\u0631\u0633\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u0627\u0634\u062a.<\/p>\n<p>\u062f\u0631 \u0645\u0631\u062d\u0644\u0647 \u0628\u0639\u062f\u060c \u0645\u0627 \u0628\u0627\u06cc\u062f \u0628\u062e\u0634 \u0633\u0627\u062f\u0647 \u0627\u06cc \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u0645 \u06a9\u0647 \u0628\u0647 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u06af\u0648\u06cc\u06cc\u0645 \u0647\u0645\u0647 \u0622\u0646 \u0633\u0644\u0648\u0644 \u0647\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u0646\u062f \u0645\u0642\u0627\u062f\u06cc\u0631\u06cc \u0628\u06cc\u0646 1 \u0648 9 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f.<\/p>\n<p>\u0633\u067e\u0633 \u062a\u0648\u062c\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0633\u0644\u0648\u0644 \u0647\u0627\u06cc \u06cc\u06a9 \u0631\u062f\u06cc\u0641 \u062f\u0627\u0631\u0627\u06cc \u0647\u0645\u0627\u0646 \u0634\u0627\u062e\u0635 \u0627\u0648\u0644 \u0647\u0633\u062a\u0646\u062f\u060c \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 (1,x) \u0628\u0631\u0627\u06cc \u0631\u062f\u06cc\u0641 \u0627\u0648\u0644.  \u0645\u0627 \u0628\u0647 \u0631\u0627\u062d\u062a\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u062a\u0645\u0627\u0645 \u0631\u062f\u06cc\u0641\u200c\u0647\u0627 \u0631\u0627 \u062a\u06a9\u0631\u0627\u0631 \u06a9\u0646\u06cc\u0645 \u0648 \u0628\u06af\u0648\u06cc\u06cc\u0645 \u06a9\u0647 \u062a\u0645\u0627\u0645 \u0633\u0644\u0648\u0644\u200c\u0647\u0627 \u0628\u0627\u06cc\u062f \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u0641\u0627\u0648\u062a\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f.  \u062f\u0631 \u0645\u0648\u0631\u062f \u0633\u062a\u0648\u0646 \u0647\u0627 \u0647\u0645 \u0647\u0645\u06cc\u0646\u0637\u0648\u0631.  \u0628\u0642\u06cc\u0647 \u0628\u0627 \u0646\u06af\u0627\u0647 \u06a9\u0631\u062f\u0646 \u0628\u0647 \u06a9\u062f \u0631\u0627\u062d\u062a \u062a\u0631 \u0642\u0627\u0628\u0644 \u062f\u0631\u06a9 \u0627\u0633\u062a.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0628\u0647 \u0646\u0645\u0648\u0646\u0647 \u0641\u0627\u06cc\u0644 JSON \u0646\u06af\u0627\u0647\u06cc \u0628\u06cc\u0646\u062f\u0627\u0632\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\">((<span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">9<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">7<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">8<\/span>, <span class=\"hljs-number\">6<\/span>, <span class=\"hljs-number\">0<\/span>),\n (<span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">0<\/span>),\n (<span class=\"hljs-number\">8<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">6<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>),\n (<span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">7<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">6<\/span>),\n (<span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">7<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>),\n (<span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">7<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>),\n (<span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">9<\/span>),\n (<span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">6<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">0<\/span>),\n (<span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">8<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">7<\/span>, <span class=\"hljs-number\">0<\/span>))\n<\/code><\/pre>\n<pre><code class=\"hljs\">\n\n\n\n\n\n\n\n\n\n\n<span class=\"hljs-keyword\">import<\/span> constraint\n<span class=\"hljs-keyword\">import<\/span> json\n\nproblem = constraint.Problem()\n\n\n<span class=\"hljs-keyword\">for<\/span> i <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">10<\/span>):\n    problem.addVariables(<span class=\"hljs-built_in\">range<\/span>(i * <span class=\"hljs-number\">10<\/span> + <span class=\"hljs-number\">1<\/span>, i * <span class=\"hljs-number\">10<\/span> + <span class=\"hljs-number\">10<\/span>), <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">10<\/span>))\n\n\n\n<span class=\"hljs-keyword\">for<\/span> i <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">10<\/span>):\n    problem.addConstraint(constraint.AllDifferentConstraint(), <span class=\"hljs-built_in\">range<\/span>(i * <span class=\"hljs-number\">10<\/span> + <span class=\"hljs-number\">1<\/span>, i * <span class=\"hljs-number\">10<\/span> + <span class=\"hljs-number\">10<\/span>))\n\n\n\n<span class=\"hljs-keyword\">for<\/span> i <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">10<\/span>):\n    problem.addConstraint(constraint.AllDifferentConstraint(), <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">10<\/span> + i, <span class=\"hljs-number\">100<\/span> + i, <span class=\"hljs-number\">10<\/span>))\n\n\n\n<span class=\"hljs-keyword\">for<\/span> i <span class=\"hljs-keyword\">in<\/span> (<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">4<\/span>,<span class=\"hljs-number\">7<\/span>):\n    \n    \n    <span class=\"hljs-keyword\">for<\/span> j <span class=\"hljs-keyword\">in<\/span> (<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">4<\/span>,<span class=\"hljs-number\">7<\/span>):\n        square = (<span class=\"hljs-number\">10<\/span>*i+j,<span class=\"hljs-number\">10<\/span>*i+j+<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">10<\/span>*i+j+<span class=\"hljs-number\">2<\/span>,<span class=\"hljs-number\">10<\/span>*(i+<span class=\"hljs-number\">1<\/span>)+j,<span class=\"hljs-number\">10<\/span>*(i+<span class=\"hljs-number\">1<\/span>)+j+<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">10<\/span>*(i+<span class=\"hljs-number\">1<\/span>)+j+<span class=\"hljs-number\">2<\/span>,<span class=\"hljs-number\">10<\/span>*(i+<span class=\"hljs-number\">2<\/span>)+j,<span class=\"hljs-number\">10<\/span>*(i+<span class=\"hljs-number\">2<\/span>)+j+<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">10<\/span>*(i+<span class=\"hljs-number\">2<\/span>)+j+<span class=\"hljs-number\">2<\/span>)\n        \n        \n        problem.addConstraint(constraint.AllDifferentConstraint(), square)\n\nfile_name = <span class=\"hljs-built_in\">input<\/span>(<span class=\"hljs-string\">\"Enter the name of the .json file containing the sudoku puzzle: \"<\/span>)\n<span class=\"hljs-keyword\">try<\/span>:\n    f = <span class=\"hljs-built_in\">open<\/span>(file_name, <span class=\"hljs-string\">\"r\"<\/span>)\n    board = json.load(f)\n    f.close()\n<span class=\"hljs-keyword\">except<\/span> IOError:\n    <span class=\"hljs-built_in\">print<\/span> (<span class=\"hljs-string\">\"Couldn't open file.\"<\/span>)\n    sys.exit()\n\n\n\n<span class=\"hljs-keyword\">for<\/span> i <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">9<\/span>):\n    <span class=\"hljs-keyword\">for<\/span> j <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">9<\/span>):\n        <span class=\"hljs-keyword\">if<\/span> board(i)(j) != <span class=\"hljs-number\">0<\/span>:\n            <span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">c<\/span>(<span class=\"hljs-params\">variable_value, value_in_table = board(i)(j)<\/span>):<\/span>\n                <span class=\"hljs-keyword\">if<\/span> variable_value == value_in_table:\n                    <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-literal\">True<\/span>\n\n            \n            \n            problem.addConstraint(c, (((i+<span class=\"hljs-number\">1<\/span>)*<span class=\"hljs-number\">10<\/span> + (j+<span class=\"hljs-number\">1<\/span>))))\n\nsolutions = problem.getSolutions()\n\n<span class=\"hljs-keyword\">for<\/span> s <span class=\"hljs-keyword\">in<\/span> solutions:\n    <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"==================\"<\/span>)\n    <span class=\"hljs-keyword\">for<\/span> i <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">10<\/span>):\n        <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"|\"<\/span>, end=<span class=\"hljs-string\">''<\/span>)\n        <span class=\"hljs-keyword\">for<\/span> j <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">10<\/span>):\n            <span class=\"hljs-keyword\">if<\/span> j%<span class=\"hljs-number\">3<\/span> == <span class=\"hljs-number\">0<\/span>:\n                <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-built_in\">str<\/span>(s(i*<span class=\"hljs-number\">10<\/span>+j))+<span class=\"hljs-string\">\" | \"<\/span>, end=<span class=\"hljs-string\">''<\/span>)\n            <span class=\"hljs-keyword\">else<\/span>:\n                <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-built_in\">str<\/span>(s(i*<span class=\"hljs-number\">10<\/span>+j)), end=<span class=\"hljs-string\">''<\/span>)\n        <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"\"<\/span>)\n        <span class=\"hljs-keyword\">if<\/span> i%<span class=\"hljs-number\">3<\/span> == <span class=\"hljs-number\">0<\/span> <span class=\"hljs-keyword\">and<\/span> i!=<span class=\"hljs-number\">9<\/span>:\n            <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"------------------\"<\/span>)\n    <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"==================\"<\/span>)\n\n<span class=\"hljs-keyword\">if<\/span> <span class=\"hljs-built_in\">len<\/span>(solutions) == <span class=\"hljs-number\">0<\/span>:\n    <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"No solutions found.\"<\/span>)\n<\/code><\/pre>\n<p>\u062e\u0631\u0648\u062c\u06cc (\u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0627\u0632 \u0641\u0627\u06cc\u0644 JSON \u0645\u062b\u0627\u0644 \u062e\u0648\u062f \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0648\u0631\u0648\u062f\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645):<\/p>\n<pre><code class=\"hljs\">==================\n|295 | 743 | 861 |\n|431 | 865 | 927 |\n|876 | 192 | 345 |\n------------------\n|387 | 459 | 216 |\n|612 | 387 | 594 |\n|549 | 216 | 783 |\n------------------\n|768 | 524 | 139 |\n|923 | 671 | 458 |\n|154 | 938 | 672 |\n==================\n==================\n|295 | 743 | 861 |\n|431 | 865 | 927 |\n|876 | 192 | 345 |\n------------------\n|387 | 459 | 216 |\n|612 | 387 | 594 |\n|549 | 216 | 738 |\n------------------\n|763 | 524 | 189 |\n|928 | 671 | 453 |\n|154 | 938 | 672 |\n==================\n==================\n|295 | 743 | 861 |\n|431 | 865 | 927 |\n|876 | 192 | 543 |\n------------------\n|387 | 459 | 216 |\n|612 | 387 | 495 |\n|549 | 216 | 738 |\n------------------\n|763 | 524 | 189 |\n|928 | 671 | 354 |\n|154 | 938 | 672 |\n==================\n<\/code><\/pre>\n<p><strong>\u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f<\/strong>: \u0628\u0633\u06cc\u0627\u0631 \u0622\u0633\u0627\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0628\u062e\u0634\u06cc \u0627\u0632 \u06a9\u062f \u0631\u0627 \u0646\u0627\u062f\u06cc\u062f\u0647 \u0628\u06af\u06cc\u0631\u06cc\u0645 \u06a9\u0647 \u0645\u0637\u0645\u0626\u0646 \u0645\u06cc \u0634\u0648\u062f \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u067e\u0627\u0632\u0644 \u0631\u0627 \u0644\u0645\u0633 \u0646\u0645\u06cc \u06a9\u0646\u06cc\u0645.<\/p>\n<p>\u0627\u06af\u0631 \u0645\u06cc\u200c\u062e\u0648\u0627\u0633\u062a\u06cc\u0645 \u06a9\u062f \u0631\u0627 \u0628\u062f\u0648\u0646 \u0622\u0646 \u0642\u0633\u0645\u062a \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u0645\u060c \u0628\u0631\u0646\u0627\u0645\u0647 \u0633\u0639\u06cc \u0645\u06cc\u200c\u06a9\u0631\u062f \u062a\u0627 \u0628\u0627 ALL SUDOKU PAZZLES IMAGINABLE \u0627\u0631\u0627\u0626\u0647 \u0634\u0648\u062f.  \u06a9\u0647 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u06cc\u06a9 \u062d\u0644\u0642\u0647 \u0628\u06cc \u067e\u0627\u06cc\u0627\u0646 \u0628\u0627\u0634\u062f.<\/p>\n<h2 id=\"conclusionanddrawbacks\"><span class=\"ez-toc-section\" id=\"%d9%86%d8%aa%db%8c%d8%ac%d9%87_%da%af%db%8c%d8%b1%db%8c_%d9%88_%d8%a7%d8%b4%da%a9%d8%a7%d9%84%d8%a7%d8%aa\"><\/span>\u0646\u062a\u06cc\u062c\u0647 \u06af\u06cc\u0631\u06cc \u0648 \u0627\u0634\u06a9\u0627\u0644\u0627\u062a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0628\u0627 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0633\u0631\u06af\u0631\u0645 \u06a9\u0646\u0646\u062f\u0647 \u0648 \u0645\u062a\u0641\u0627\u0648\u062a \u0627\u0633\u062a\u060c \u0645\u0637\u0645\u0626\u0646\u0627\u064b \u0627\u0634\u06a9\u0627\u0644\u0627\u062a\u06cc \u062f\u0627\u0631\u062f. <strong>\u0647\u0631<\/strong> \u0645\u0633\u0626\u0644\u0647 \u062d\u0644 \u0634\u062f\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0628\u0647 \u0633\u0628\u06a9 \u062f\u0633\u062a\u0648\u0631\u06cc \u0628\u0627 \u0632\u0645\u0627\u0646 \u0627\u062c\u0631\u0627 \u0628\u0631\u0627\u0628\u0631 \u06cc\u0627 (\u0645\u0627\u0646\u0646\u062f \u0627\u06a9\u062b\u0631 \u0645\u0648\u0627\u0631\u062f) \u0628\u0647\u062a\u0631 \u0646\u0648\u0634\u062a\u0647 \u0634\u0648\u062f.<\/p>\n<p>\u0637\u0628\u06cc\u0639\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062a\u0648\u0633\u0639\u0647 \u062f\u0647\u0646\u062f\u0647 \u0645\u0634\u06a9\u0644 \u0631\u0627 \u0628\u0647\u062a\u0631 \u0627\u0632 \u0622\u0646 \u0686\u06cc\u0632\u06cc \u06a9\u0647 \u0628\u062a\u0648\u0627\u0646\u062f \u0622\u0646 \u0631\u0627 \u062a\u0648\u0635\u06cc\u0641 \u06a9\u0646\u062f\u060c \u062f\u0631\u06a9 \u06a9\u0646\u062f <code>python-constraint<\/code>.  \u0646\u06a9\u062a\u0647 \u0628\u0633\u06cc\u0627\u0631 \u0645\u0647\u0645\u06cc \u06a9\u0647 \u0628\u0627\u06cc\u062f \u0628\u0647 \u0622\u0646 \u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0628\u0627 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u062f\u0631 \u0628\u0631\u062e\u06cc \u0634\u0631\u0627\u06cc\u0637 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0633\u0627\u0639\u062a \u0647\u0627 \u0648 \u0633\u0627\u0639\u062a \u0647\u0627 \u062f\u0631 \u0632\u0645\u0627\u0646 \u062a\u0648\u0633\u0639\u0647 \u062f\u0631 \u0627\u0632\u0627\u06cc \u0632\u0645\u0627\u0646 \u0627\u062c\u0631\u0627 \u06a9\u0645\u06cc \u0628\u062f\u062a\u0631 \u0635\u0631\u0641\u0647 \u062c\u0648\u06cc\u06cc \u06a9\u0646\u062f.<\/p>\n<p>\u0645\u0646 \u0627\u062e\u06cc\u0631\u0627\u064b \u06cc\u06a9 \u0645\u062b\u0627\u0644 \u0648\u0627\u0642\u0639\u06cc \u0627\u0632 \u0627\u06cc\u0646 \u062f\u0627\u0634\u062a\u0645.  \u06cc\u06a9\u06cc \u0627\u0632 \u062f\u0648\u0633\u062a\u0627\u0646 \u0645\u0646\u060c \u06a9\u0633\u06cc \u06a9\u0647 \u0641\u0642\u0637 \u0686\u0646\u062f \u0645\u0627\u0647 \u0642\u0628\u0644 \u0627\u0632 \u0648\u062c\u0648\u062f \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0627\u062e\u0628\u0631 \u0634\u062f\u0647 \u0628\u0648\u062f\u060c \u0628\u0627\u06cc\u062f \u0628\u0631\u0627\u06cc \u06cc\u06a9 \u067e\u0631\u0648\u0698\u0647 \u062a\u062d\u0642\u06cc\u0642\u0627\u062a\u06cc \u0634\u06cc\u0645\u06cc \u0641\u06cc\u0632\u06cc\u06a9 \u06a9\u0647 \u062f\u0631 \u062d\u0627\u0644 \u06a9\u0627\u0631 \u0628\u0648\u062f \u0645\u0634\u06a9\u0644\u06cc \u0631\u0627 \u062d\u0644 \u06a9\u0646\u062f. \u0631\u0648\u06cc.<\/p>\n<p>\u0622\u0646 \u062f\u0648\u0633\u062a \u0646\u06cc\u0627\u0632 \u0628\u0647 \u062d\u0644 \u0645\u0634\u06a9\u0644 \u0632\u06cc\u0631 \u062f\u0627\u0634\u062a:<\/p>\n<pre><code class=\"hljs\">Generate all combinations (that have a length equal to the number of keys) of values stored in a dictionary (the order of output doesn't matter). The dictionary is {String : List_of_Strings}. In such a way that every combination has exactly one value from the List_of_Strings of a key.\n\nYou don't know the number of keys in the dictionary in advance, nor do you know how long a List_of_String is, every List_of_String can be of different length. I.e. the dictionary is dynamically generated via user input.\n\nExample input: dictionary = {\"A\" : (1,2), \"B\" -&gt; (4), \"C\" -&gt; (5,6,7), \"D\" -&gt; (8,9)}\nExample output: (1,4,5,8), (1,4,5,8), (1,4,6,8), (1,4,6,9), (1,4,7,8)....\n<\/code><\/pre>\n<p>\u0633\u0639\u06cc \u06a9\u0646\u06cc\u062f \u0648 \u0641\u06a9\u0631 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u06cc\u0646 \u0631\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0636\u0631\u0648\u0631\u06cc \u062d\u0644 \u06a9\u0646\u06cc\u062f.<\/p>\n<p>\u062d\u062a\u06cc \u0646\u062a\u0648\u0646\u0633\u062a\u0645 \u0628\u0647 \u0641\u06a9\u0631\u0645 \u0628\u0631\u0633\u0647 <em>\u0627\u0646\u062f\u06cc\u0634\u0647<\/em> \u06cc\u06a9 \u0631\u0627\u0647 \u062d\u0644 \u062e\u0648\u0628 \u0636\u0631\u0648\u0631\u06cc \u0627\u0633\u062a.  \u062d\u062f\u0627\u0642\u0644 \u062f\u0631 5 \u062f\u0642\u06cc\u0642\u0647 \u0627\u06cc \u06a9\u0647 \u0637\u0648\u0644 \u06a9\u0634\u06cc\u062f \u062a\u0627 \u0645\u0634\u06a9\u0644 \u0627\u0648 \u0631\u0627 \u062f\u0631 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u062d\u0644 \u06a9\u0646\u0645\u060c \u0628\u0647 \u0645\u0639\u0646\u0627\u06cc \u0648\u0627\u0642\u0639\u06cc \u06a9\u0644\u0645\u0647 <em>\u0686\u0646\u062f \u062e\u0637<\/em> \u0627\u0632 \u06a9\u062f<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">import<\/span> constraint\n\n\ngenerated_dictionary = {<span class=\"hljs-string\">'A'<\/span> : (<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">2<\/span>), <span class=\"hljs-string\">'B'<\/span> : (<span class=\"hljs-number\">4<\/span>), <span class=\"hljs-string\">'C'<\/span> : (<span class=\"hljs-number\">5<\/span>,<span class=\"hljs-number\">6<\/span>,<span class=\"hljs-number\">7<\/span>), <span class=\"hljs-string\">'D'<\/span> : (<span class=\"hljs-number\">8<\/span>,<span class=\"hljs-number\">9<\/span>)}\n\nproblem = constraint.Problem()\n\n<span class=\"hljs-keyword\">for<\/span> key, value <span class=\"hljs-keyword\">in<\/span> generated_dictionary.items():\n    problem.addVariable(key, value)\n\nsolutions = problem.getSolutions()\n\n<span class=\"hljs-keyword\">for<\/span> solution <span class=\"hljs-keyword\">in<\/span> solutions:\n    <span class=\"hljs-built_in\">print<\/span>(solution)\n<\/code><\/pre>\n<p>\u062e\u0648\u062f\u0634\u0647.  \u0645\u0627 \u0641\u0642\u0637 \u0647\u06cc\u0686 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a\u06cc \u0627\u0636\u0627\u0641\u0647 \u0646\u06a9\u0631\u062f\u06cc\u0645 \u0648 \u0628\u0631\u0646\u0627\u0645\u0647 \u062a\u0645\u0627\u0645 \u062a\u0631\u06a9\u06cc\u0628\u0627\u062a \u0642\u0627\u0628\u0644 \u0642\u0628\u0648\u0644 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0645\u0627 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0631\u062f.  \u062f\u0631 \u0645\u0648\u0631\u062f \u0627\u0648\u060c \u062d\u062f\u0627\u0642\u0644 \u062a\u0641\u0627\u0648\u062a \u062f\u0631 \u0632\u0645\u0627\u0646 \u0627\u062c\u0631\u0627 \u0627\u06cc\u0646 \u0628\u0631\u0646\u0627\u0645\u0647 \u0627\u0632 \u0631\u0627\u0647 \u062f\u0648\u0631 \u0628\u0647 \u0627\u0646\u062f\u0627\u0632\u0647 \u0633\u0631\u0639\u062a \u0646\u0648\u0634\u062a\u0646 \u0648 \u062e\u0648\u0627\u0646\u0627\u06cc\u06cc \u0622\u0646 \u0627\u0647\u0645\u06cc\u062a \u0646\u062f\u0627\u0631\u062f.<\/p>\n<p>\u0646\u06a9\u062a\u0647 \u062f\u06cc\u06af\u0631\u06cc \u06a9\u0647 \u0628\u0627\u06cc\u062f \u0628\u0647 \u0622\u0646 \u062a\u0648\u062c\u0647 \u06a9\u0631\u062f \u0627\u06cc\u0646 \u0627\u0633\u062a <code>python-constraint<\/code> \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0628\u06cc\u0634 \u0627\u0632 \u0622\u0632\u0645\u0627\u06cc\u0634 \u0627\u06cc\u0646\u06a9\u0647 \u0622\u06cc\u0627 \u06cc\u06a9 \u062a\u0631\u06a9\u06cc\u0628 \u0628\u062f\u0648\u0646 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0647\u0645\u0647 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627 \u062a\u0646\u0627\u0633\u0628 \u062f\u0627\u0631\u062f \u06cc\u0627 \u062e\u06cc\u0631.<\/p>\n<p>\u0642\u0627\u0628\u0644\u06cc\u062a\u200c\u0647\u0627\u06cc \u067e\u0633\u200c\u06af\u0631\u062f (\u0648 \u0628\u0627\u0632\u06af\u0634\u062a \u0628\u0627\u0632\u06af\u0634\u062a\u06cc) \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0634\u062f\u0647\u200c\u0627\u0646\u062f\u060c \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0628\u0631 \u0627\u0633\u0627\u0633 \u062d\u0644\u200c\u06a9\u0646\u0646\u062f\u0647\u200c\u0647\u0627\u06cc \u0645\u0634\u06a9\u0644 \u0631\u0648\u06cc \u0646\u0638\u0631\u06cc\u0647 \u062d\u062f\u0627\u0642\u0644 \u062a\u0639\u0627\u0631\u0636  \u0627\u06cc\u0646\u0647\u0627 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0628\u0647 \u0622\u0646 \u0645\u0646\u062a\u0642\u0644 \u06a9\u0631\u062f <code>.Problem()<\/code> \u0631\u0648\u0634\u060c \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 <code>.Problem(BacktrackingSolver)<\/code>\u060c \u0628\u0642\u06cc\u0647 \u0628\u0647 \u0647\u0645\u0627\u0646 \u0631\u0648\u0634\u06cc \u06a9\u0647 \u062f\u0631 \u0645\u062b\u0627\u0644 \u0647\u0627\u06cc \u0628\u0627\u0644\u0627 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u0634\u0648\u062f \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<h2 id=\"listofbuiltinconstraints\"><span class=\"ez-toc-section\" id=\"%d9%84%db%8c%d8%b3%d8%aa_%d9%85%d8%ad%d8%af%d9%88%d8%af%db%8c%d8%aa_%d9%87%d8%a7%db%8c_%d8%af%d8%a7%d8%ae%d9%84%db%8c\"><\/span>\u0644\u06cc\u0633\u062a \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627\u06cc \u062f\u0627\u062e\u0644\u06cc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<table class=\"table table-striped\" style=\"width:100%\">\n<thead>\n<tr>\n<th align=\"center\">\u0646\u0627\u0645 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a<\/th>\n<th align=\"center\">\u0634\u0631\u062d \u0645\u062d\u062f\u0648\u062f\u06cc\u062a<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr align=\"left\">\n<th>AllDifferentConstraint<\/th>\n<td>\u0627\u0639\u0645\u0627\u0644 \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0647\u0645\u0647 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0645\u062a\u0641\u0627\u0648\u062a \u0627\u0633\u062a<\/td>\n<\/tr>\n<tr align=\"left\">\n<th>AllEqualConstraint<\/th>\n<td>\u0627\u062c\u0628\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0647\u0645\u0647 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0628\u0631\u0627\u0628\u0631 \u0628\u0627\u0634\u0646\u062f<\/td>\n<\/tr>\n<tr align=\"left\">\n<th>MaxSumConstraint<\/th>\n<td>\u0627\u062c\u0628\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062a\u0627 \u06cc\u06a9 \u0645\u0642\u062f\u0627\u0631 \u0645\u0639\u06cc\u0646 \u062c\u0645\u0639 \u0634\u0648\u0646\u062f<\/td>\n<\/tr>\n<tr align=\"left\">\n<th>ExactSumConstraint<\/th>\n<td>\u0627\u062c\u0628\u0627\u0631\u06cc \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062f\u0642\u06cc\u0642\u0627\u064b \u0628\u0627 \u0645\u0642\u062f\u0627\u0631 \u0645\u0639\u06cc\u0646\u06cc \u062c\u0645\u0639 \u0634\u0648\u0646\u062f<\/td>\n<\/tr>\n<tr align=\"left\">\n<th>MinSumConstraint<\/th>\n<td>\u0627\u0639\u0645\u0627\u0644 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u06a9\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062d\u062f\u0627\u0642\u0644 \u0628\u0647 \u06cc\u06a9 \u0645\u0642\u062f\u0627\u0631 \u0645\u0639\u06cc\u0646 \u062c\u0645\u0639 \u0645\u06cc \u0634\u0648\u0646\u062f<\/td>\n<\/tr>\n<tr align=\"left\">\n<th>InSetConstraint<\/th>\n<td>\u0627\u0639\u0645\u0627\u0644 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u06a9\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062f\u0631 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f<\/td>\n<\/tr>\n<tr align=\"left\">\n<th>NotInSetConstraint<\/th>\n<td>\u0627\u0639\u0645\u0627\u0644 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u06a9\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062f\u0631 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0648\u062c\u0648\u062f \u0646\u062f\u0627\u0631\u062f<\/td>\n<\/tr>\n<tr align=\"left\">\n<th>SomeInSetConstraint<\/th>\n<td>\u0627\u0639\u0645\u0627\u0644 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u06a9\u0647 \u062d\u062f\u0627\u0642\u0644 \u0628\u0631\u062e\u06cc \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0628\u0627\u06cc\u062f \u062f\u0631 \u06cc\u06a9 \u0645\u062c\u0645\u0648\u0639\u0647 \u0645\u0634\u062e\u0635 \u0648\u062c\u0648\u062f \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f<\/td>\n<\/tr>\n<tr align=\"left\">\n<th>SomeNotInSetConstraint<\/th>\n<td>\u0627\u0639\u0645\u0627\u0644 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u06a9\u0647 \u062d\u062f\u0627\u0642\u0644 \u0628\u0631\u062e\u06cc \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0646\u0628\u0627\u06cc\u062f \u062f\u0631 \u06cc\u06a9 \u0645\u062c\u0645\u0648\u0639\u0647 \u0645\u0634\u062e\u0635 \u0648\u062c\u0648\u062f \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u0647\u0646\u06af\u0627\u0645 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a\u200c\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u0646\u062f \u0641\u0647\u0631\u0633\u062a\u06cc \u0627\u0632 \u0636\u0631\u0628\u200c\u06a9\u0646\u0646\u062f\u0647\u200c\u0647\u0627 \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u0646\u062f (\u0645\u0627\u0646\u0646\u062f <code>ExactSum<\/code> \u06cc\u0627 <code>MinSum<\/code>) \u0645\u0631\u0627\u0642\u0628 \u0628\u0627\u0634\u06cc\u062f \u06a9\u0647 \u062f\u0631 \u0635\u0648\u0631\u062a \u0644\u0632\u0648\u0645 \u062a\u0631\u062a\u06cc\u0628 \u06cc\u0627 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u0631\u0627 \u0628\u0647 \u0635\u0631\u0627\u062d\u062a \u0628\u06cc\u0627\u0646 \u06a9\u0646\u06cc\u062f\u060c \u0645\u0627\u0646\u0646\u062f \u0622\u0646\u0686\u0647 \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0648\u0631\u062f \u0627\u0646\u062c\u0627\u0645 \u062f\u0627\u062f\u06cc\u0645 <a href=\"#examplee\" class=\"broken_link\">\u0645\u062b\u0627\u0644 E<\/a><\/p>\n<h2 id=\"conclusion\"><span class=\"ez-toc-section\" id=\"%d9%86%d8%aa%db%8c%d8%ac%d9%87\"><\/span>\u0646\u062a\u06cc\u062c\u0647<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u062a\u0627 \u0622\u0646\u062c\u0627 \u06a9\u0647 \u0628\u0647 \u062e\u0648\u0627\u0646\u0627\u06cc\u06cc \u0648 \u0633\u0647\u0648\u0644\u062a \u062a\u0648\u0633\u0639\u0647 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u062e\u0627\u0635 \u0645\u0631\u0628\u0648\u0637 \u0645\u06cc \u0634\u0648\u062f \u0634\u06af\u0641\u062a \u0627\u0646\u06af\u06cc\u0632 \u0627\u0633\u062a\u060c \u0627\u0645\u0627 \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0631\u0627 \u0628\u0647 \u0642\u06cc\u0645\u062a \u0632\u0645\u0627\u0646 \u0627\u062c\u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u062f\u0647\u062f.  \u0627\u06cc\u0646 \u0628\u0647 \u062a\u0648\u0633\u0639\u0647 \u062f\u0647\u0646\u062f\u0647 \u0628\u0633\u062a\u06af\u06cc \u062f\u0627\u0631\u062f \u06a9\u0647 \u062a\u0635\u0645\u06cc\u0645 \u0628\u06af\u06cc\u0631\u062f \u06a9\u062f\u0627\u0645 \u06cc\u06a9 \u0628\u0631\u0627\u06cc \u06cc\u06a9 \u0645\u0634\u06a9\u0644 \u062e\u0627\u0635 \u0628\u0631\u0627\u06cc \u0627\u0648 \u0645\u0647\u0645\u062a\u0631 \u0627\u0633\u062a.<\/p>\n<\/div>\n<p><script>\n                        !function(f,b,e,v,n,t,s)\n                        {if(f.fbq)return;n=f.fbq=function(){n.callMethod?\n                        n.callMethod.apply(n,arguments):n.queue.push(arguments)};\n                        if(!f._fbq)f._fbq=n;n.push=n;n.loaded=!0;n.version='2.0';\n                        n.queue=();t=b.createElement(e);t.async=!0;\n                        t.src=v;s=b.getElementsByTagName(e)(0);\n                        s.parentNode.insertBefore(t,s)}(window, document,'script',\n                        'https:\/\/connect.facebook.net\/en_US\/fbevents.js');\n                        fbq('init', '525232124909042');\n                        fbq('track', 'PageView');\n                    <\/script>    (\u0628\u0631\u0686\u0633\u0628\u200c\u0647\u0627 \u0628\u0647 \u062a\u0631\u062c\u0645\u0647)# python<br \/>\n<br \/><br \/>\n<br \/>\u0645\u0646\u062a\u0634\u0631 \u0634\u062f\u0647 \u062f\u0631 1403-01-23 08:11:02<br \/>\n<\/p>\n\n\n<div class=\"kk-star-ratings kksr-auto kksr-align-center kksr-valign-bottom\"\n    data-payload='{&quot;align&quot;:&quot;center&quot;,&quot;id&quot;:&quot;16305&quot;,&quot;slug&quot;:&quot;default&quot;,&quot;valign&quot;:&quot;bottom&quot;,&quot;ignore&quot;:&quot;&quot;,&quot;reference&quot;:&quot;auto&quot;,&quot;class&quot;:&quot;&quot;,&quot;count&quot;:&quot;0&quot;,&quot;legendonly&quot;:&quot;&quot;,&quot;readonly&quot;:&quot;&quot;,&quot;score&quot;:&quot;0&quot;,&quot;starsonly&quot;:&quot;&quot;,&quot;best&quot;:&quot;5&quot;,&quot;gap&quot;:&quot;5&quot;,&quot;greet&quot;:&quot;\u0627\u0645\u062a\u06cc\u0627\u0632 \u0634\u0645\u0627 \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0637\u0644\u0628&quot;,&quot;legend&quot;:&quot;0\\\/5 (0 \u0631\u0627\u06cc)&quot;,&quot;size&quot;:&quot;30&quot;,&quot;title&quot;:&quot;\u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0628\u0627 python-\u0645\u062d\u062f\u0648\u062f\u06cc\u062a&quot;,&quot;width&quot;:&quot;0&quot;,&quot;_legend&quot;:&quot;{score}\\\/{best} ({count} \u0631\u0627\u06cc)&quot;,&quot;font_factor&quot;:&quot;1.25&quot;}'>\n            \n<div class=\"kksr-stars\">\n    \n<div class=\"kksr-stars-inactive\">\n            <div class=\"kksr-star\" data-star=\"1\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"2\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"3\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"4\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"5\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n    <\/div>\n    \n<div class=\"kksr-stars-active\" style=\"width: 0px;\">\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n                \n\n<div class=\"kksr-legend\" style=\"font-size: 24px;\">\n            <span class=\"kksr-muted\">\u0627\u0645\u062a\u06cc\u0627\u0632 \u0634\u0645\u0627 \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0637\u0644\u0628<\/span>\n    <\/div>\n    <\/div>\n","protected":false},"excerpt":{"rendered":"<p><span class=\"span-reading-time rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">\u0632\u0645\u0627\u0646 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u0645\u0637\u0627\u0644\u0639\u0647: <\/span> <span class=\"rt-time\"> 13<\/span> <span class=\"rt-label rt-postfix\">\u062f\u0642\u06cc\u0642\u0647<\/span><\/span>\u0645\u0639\u0631\u0641\u06cc \u0627\u0648\u0644\u06cc\u0646 \u0686\u06cc\u0632\u06cc \u06a9\u0647 \u062f\u0631 \u0647\u0646\u06af\u0627\u0645 \u067e\u0631\u062f\u0627\u062e\u062a\u0646 \u0628\u0647 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0628\u0627\u06cc\u062f \u0628\u062f\u0627\u0646\u06cc\u0645 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0631\u0648\u0634 \u062a\u0641\u06a9\u0631 \u0628\u0627 \u0637\u0631\u0632 \u0641\u06a9\u0631 \u0645\u0639\u0645\u0648\u0644 \u0645\u0627 \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0646\u0648\u0634\u062a\u0646 \u06a9\u062f \u0645\u06cc \u0646\u0634\u06cc\u0646\u06cc\u0645 \u0628\u0633\u06cc\u0627\u0631 \u0645\u062a\u0641\u0627\u0648\u062a \u0627\u0633\u062a. \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0646\u0645\u0648\u0646\u0647 \u0627\u06cc \u0627\u0632 \u0627\u06cc\u0646 \u0627\u0633\u062a \u0627\u0639\u0644\u0627\u0645\u06cc \u067e\u0627\u0631\u0627\u062f\u0627\u06cc\u0645 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc\u060c \u0628\u0631 \u062e\u0644\u0627\u0641 \u0645\u0639\u0645\u0648\u0644 \u0627\u0645\u0631\u06cc \u0636\u0631\u0648\u0631\u06cc \u067e\u0627\u0631\u0627\u062f\u0627\u06cc\u0645 \u06a9\u0647 \u0645\u0627 \u0628\u06cc\u0634\u062a\u0631 \u0627\u0648\u0642\u0627\u062a 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