{"id":36708,"date":"2022-06-25T16:14:55","date_gmt":"2022-06-25T16:14:55","guid":{"rendered":"https:\/\/quera.org\/blog\/?p=36708"},"modified":"2022-07-04T11:22:47","modified_gmt":"2022-07-04T11:22:47","slug":"contest-algo-44","status":"publish","type":"post","link":"https:\/\/quera.org\/blog\/contest-algo-44\/","title":{"rendered":"\u0645\u0633\u0627\u0628\u0642\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u0634\u0645\u0627\u0631\u0647 \u06f4\u06f4 (\u0622\u0645\u0648\u0632\u0634\u06cc) + \u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\" style=\"font-size:18px\"><strong>\u0633\u0644\u0627\u0645!<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0645\u0633\u0627\u0628\u0642\u0647\u200c\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u0634\u0645\u0627\u0631\u0647\u200c\u06cc&nbsp;\u06f4\u06f4\u060c \u06cc\u06a9 \u0645\u0633\u0627\u0628\u0642\u0647&nbsp;<strong><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff3064\" class=\"has-inline-color\">\u0622\u0645\u0648\u0632\u0634\u06cc<\/mark><\/strong>&nbsp;\u0647\u0633\u062a \u06a9\u0647 \u0628\u0627 \u0647\u062f\u0641 \u062a\u0645\u0631\u06cc\u0646 \u0648 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0628\u06cc\u0634\u062a\u0631 \u0628\u0631\u0627\u06cc \u0634\u0645\u0627 \u0637\u0631\u0627\u062d\u06cc \u0634\u062f\u0647.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>\u0627\u06cc\u0646 \u0645\u0633\u0627\u0628\u0642\u0647 \u0634\u0627\u0645\u0644 <strong><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff3064\" class=\"has-inline-color\">\u06f5 \u0633\u0624\u0627\u0644 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc<\/mark><\/strong> \u0647\u0633\u062a.<\/li><li>\u062d\u0644 \u0633\u0624\u0627\u0644\u0627\u062a \u0627\u06cc\u0646 \u0645\u0633\u0627\u0628\u0642\u0647 \u0628\u0631 \u0631\u0648\u06cc \u0627\u0645\u062a\u06cc\u0627\u0632 \u06a9\u0648\u0626\u0631\u0627\u06cc\u06cc \u0634\u0645\u0627 <strong><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff3064\" class=\"has-inline-color\">\u062a\u0623\u062b\u06cc\u0631 \u0646\u062f\u0627\u0631\u0647.<\/mark><\/strong><\/li><li>\u0632\u0645\u0627\u0646 \u0628\u0631\u06af\u0632\u0627\u0631\u06cc \u0645\u0633\u0627\u0628\u0642\u0647\u060c \u0633\u0647\u200c\u0634\u0646\u0628\u0647&nbsp;<strong><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff3064\" class=\"has-inline-color\">\u06f7 \u062a\u06cc\u0631 \u0633\u0627\u0639\u062a \u06f2\u06f0<\/mark><\/strong>&nbsp;\u0647\u0633\u062a \u0648 \u0634\u0645\u0627 <strong><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff3064\" class=\"has-inline-color\">\u06f2 \u0633\u0627\u0639\u062a<\/mark><\/strong> \u0632\u0645\u0627\u0646 \u062f\u0627\u0631\u06cc\u062f \u062a\u0627 \u0628\u0647 \u0633\u0624\u0627\u0644\u0627\u062a \u067e\u0627\u0633\u062e \u0628\u062f\u06cc\u062f.<\/li><li>\u062b\u0628\u062a\u200c\u0646\u0627\u0645 \u0627\u06cc\u0646 \u0645\u0633\u0627\u0628\u0642\u0647 \u062f\u0631 \u0635\u0641\u062d\u0647&nbsp;<a href=\"https:\/\/quera.org\/events\/algo-44\" target=\"_blank\" rel=\"noreferrer noopener\">\u0645\u0633\u0627\u0628\u0642\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u0634\u0645\u0627\u0631\u0647 \u06f4\u06f4<\/a>&nbsp;\u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u0634\u0647 \u0648 \u062a\u0627&nbsp;<strong><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff3064\" class=\"has-inline-color\">\u06f7\u0627\u0645 \u062a\u06cc\u0631<\/mark><\/strong>&nbsp;\u0628\u0631\u0627\u06cc \u062b\u0628\u062a\u200c\u0646\u0627\u0645 \u0641\u0631\u0635\u062a \u062f\u0627\u0631\u06cc\u062f.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627\u06cc \u0627\u06cc\u0646 \u0645\u0633\u0627\u0628\u0642\u0647\u060c \u0628\u0644\u0627\u0641\u0627\u0635\u0644\u0647 \u0628\u0639\u062f \u0627\u0632 \u067e\u0627\u06cc\u0627\u0646 \u0645\u0633\u0627\u0628\u0642\u0647 \u062f\u0631 \u0647\u0645\u06cc\u0646 \u067e\u0633\u062a \u0645\u0646\u062a\u0634\u0631 \u0645\u06cc\u200c\u0634\u0646 \u0648 \u0634\u0645\u0627 \u0645\u06cc\u200c\u062a\u0648\u0646\u06cc\u062f \u0627\u0632 \u0627\u0648\u0646\u200c\u0647\u0627 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0633\u0624\u0627\u0644\u0627\u062a \u0645\u0633\u0627\u0628\u0642\u0647 \u062f\u0631 <a href=\"https:\/\/quera.org\/problemset\" target=\"_blank\" rel=\"noreferrer noopener\">\u0628\u0627\u0646\u06a9 \u0633\u0624\u0627\u0644\u0627\u062a<\/a> \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-dots\"\/>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 counter-hierarchy ez-toc-counter-rtl ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">\u0641\u0647\u0631\u0633\u062a \u0645\u0637\u0627\u0644\u0628<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"\u062a\u063a\u06cc\u06cc\u0631 \u0648\u0636\u0639\u06cc\u062a \u0641\u0647\u0631\u0633\u062a \u0645\u0637\u0627\u0644\u0628\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/quera.org\/blog\/contest-algo-44\/#%D9%BE%DB%8C%E2%80%8C%D9%86%D9%88%D8%B4%D8%AA_%D8%B1%D8%A7%D9%87%E2%80%8C%D8%AD%D9%84%E2%80%8C%D9%87%D8%A7%DB%8C_%D9%85%D8%B3%D8%A7%D8%A8%D9%82%D9%87\" >\u067e\u06cc\u200c\u0646\u0648\u0634\u062a: \u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627\u06cc \u0645\u0633\u0627\u0628\u0642\u0647<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/quera.org\/blog\/contest-algo-44\/#%D9%85%D8%B9%D8%A7%D8%AF%D9%84%D9%87_%D8%AE%D8%B7\" >\u0645\u0639\u0627\u062f\u0644\u0647 \u062e\u0637<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/quera.org\/blog\/contest-algo-44\/#%D9%85%D8%B3%D8%A7%D8%AD%D8%AA_%D9%BE%DB%8C%DA%86%DB%8C%D8%AF%D9%87\" >\u0645\u0633\u0627\u062d\u062a \u067e\u06cc\u0686\u06cc\u062f\u0647<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/quera.org\/blog\/contest-algo-44\/#%D8%B3%DB%8C%D9%86%D9%88%D8%B3_%D8%B7%D8%A8%DB%8C%D8%B9%DB%8C\" >\u0633\u06cc\u0646\u0648\u0633 \u0637\u0628\u06cc\u0639\u06cc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/quera.org\/blog\/contest-algo-44\/#%D8%A7%D8%AA%D9%88%D9%85%D9%88%D8%B1%D9%81%DB%8C%DA%A9\" >\u0627\u062a\u0648\u0645\u0648\u0631\u0641\u06cc\u06a9<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/quera.org\/blog\/contest-algo-44\/#%DB%8C%DA%A9%E2%80%8C%D8%B3%D8%A7%D8%B2%DB%8C\" >\u06cc\u06a9\u200c\u0633\u0627\u0632\u06cc<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"has-medium-font-size wp-block-heading\"><span class=\"ez-toc-section\" id=\"%D9%BE%DB%8C%E2%80%8C%D9%86%D9%88%D8%B4%D8%AA_%D8%B1%D8%A7%D9%87%E2%80%8C%D8%AD%D9%84%E2%80%8C%D9%87%D8%A7%DB%8C_%D9%85%D8%B3%D8%A7%D8%A8%D9%82%D9%87\"><\/span><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff3064\" class=\"has-inline-color\">\u067e\u06cc\u200c\u0646\u0648\u0634\u062a: \u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627\u06cc \u0645\u0633\u0627\u0628\u0642\u0647<\/mark><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:18px\"><span class=\"ez-toc-section\" id=\"%D9%85%D8%B9%D8%A7%D8%AF%D9%84%D9%87_%D8%AE%D8%B7\"><\/span><a href=\"https:\/\/quera.org\/problemset\/147193\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u0645\u0639\u0627\u062f\u0644\u0647 \u062e\u0637<\/a><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u06af\u0631 \u0645\u0642\u062f\u0627\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0646\u0627\u0635\u0641\u0631 \u0628\u0627\u0634\u062f\u060c \u0645\u0639\u0627\u062f\u0644\u0647 \u062c\u0648\u0627\u0628 \u06cc\u06a9\u062a\u0627 \u062f\u0627\u0631\u062f (<span class=\"katex-eq\" data-katex-display=\"false\">x = \\frac{-b}{a}<\/span>). \u0627\u0645\u0627 \u0627\u06af\u0631 \u0645\u0642\u062f\u0627\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0628\u0631\u0627\u0628\u0631 \u0635\u0641\u0631 \u0628\u0627\u0634\u062f\u060c \u062f\u0631 \u0635\u0648\u0631\u062a\u06cc \u06a9\u0647 b \u0646\u0627\u0635\u0641\u0631 \u0628\u0627\u0634\u062f\u060c \u0645\u0639\u0627\u062f\u0644\u0647 \u0647\u06cc\u0686 \u062c\u0648\u0627\u0628\u06cc \u0646\u062f\u0627\u0631\u062f \u0648 \u062f\u0631 \u063a\u06cc\u0631 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a (\u06cc\u0639\u0646\u06cc  <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">b<\/span> \u0647\u0631 \u062f\u0648 \u0635\u0641\u0631 \u0628\u0627\u0634\u0646\u062f) \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 \u0628\u06cc\u200c\u0634\u0645\u0627\u0631 \u062c\u0648\u0627\u0628 \u062f\u0627\u0631\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:18px\"><span class=\"ez-toc-section\" id=\"%D9%85%D8%B3%D8%A7%D8%AD%D8%AA_%D9%BE%DB%8C%DA%86%DB%8C%D8%AF%D9%87\"><\/span><a href=\"https:\/\/quera.org\/problemset\/147191\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u0645\u0633\u0627\u062d\u062a \u067e\u06cc\u0686\u06cc\u062f\u0647<\/a><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" style=\"font-size:15px\">\u0631\u0627\u0647\u200c\u062d\u0644 \u0627\u0648\u0644<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0647\u0645\u0627\u0646 \u0637\u0648\u0631 \u06a9\u0647 \u0627\u0646\u062a\u0638\u0627\u0631 \u0645\u06cc\u200c\u0631\u0648\u062f\u060c \u0631\u0627\u0647\u200c\u062d\u0644 \u0627\u0648\u0644\u06cc\u0647\u200c\u06cc \u0627\u06cc\u0646 \u0633\u0624\u0627\u0644 \u06a9\u0645\u06cc \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0627\u0633\u062a. \u0628\u06cc\u0627\u06cc\u062f \u0645\u0633\u0627\u062d\u062a \u0642\u0633\u0645\u062a\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0631\u0627 \u062d\u0633\u0627\u0628 \u06a9\u0631\u062f\u0647 \u0648 \u0642\u062f\u0645\u200c\u0628\u0647\u200c\u0642\u062f\u0645 \u0628\u0647 \u062c\u0648\u0627\u0628 \u0646\u0632\u062f\u06cc\u06a9 \u0634\u0648\u06cc\u0645.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u0633\u0628\u0632 \u06cc\u06a9 \u0642\u0637\u0627\u0639 \u06f6\u06f0 \u062f\u0631\u062c\u0647 \u0627\u0632 \u062f\u0627\u06cc\u0631\u0647\u200c\u0627\u06cc \u0628\u0647 \u0634\u0639\u0627\u0639 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0627\u0633\u062a. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0645\u0633\u0627\u062d\u062a \u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u0633\u0628\u0632 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\\frac{60}{360} \\pi a^2 = \\frac{\\pi}{6} a^2<\/pre><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"401\" src=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-02.jpg\" alt=\"\" class=\"wp-image-36962\" srcset=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-02.jpg 400w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-02-300x300.jpg 300w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-02-150x150.jpg 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u0628\u0646\u0641\u0634 \u06cc\u06a9 \u0645\u062b\u0644\u062b \u0645\u062a\u0633\u0627\u0648\u06cc\u200c\u0627\u0644\u0627\u0636\u0644\u0627\u0639 \u0628\u0647 \u0636\u0644\u0639 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0627\u0633\u062a. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0645\u0633\u0627\u062d\u062a \u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u0628\u0646\u0641\u0634 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\\frac{\\sqrt{3}}{4} a^2<\/pre><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"401\" src=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-03.jpg\" alt=\"\" class=\"wp-image-36963\" srcset=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-03.jpg 400w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-03-300x300.jpg 300w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-03-150x150.jpg 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u06af\u0646\u0628\u062f\u06cc \u0634\u06a9\u0644 \u0627\u0632 \u062f\u0648 \u0628\u0631\u0627\u0628\u0631 \u062c\u0645\u0639 \u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u0633\u0628\u0632\u0631\u0646\u06af \u0645\u0646\u0647\u0627\u06cc \u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u0628\u0646\u0641\u0634 \u0628\u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0645\u0633\u0627\u062d\u062a \u0627\u06cc\u0646 \u0646\u0627\u062d\u06cc\u0647 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>2(\\frac{1}{6} \\pi a^2) - \\frac{\\sqrt{3}}{4} a^2 = (\\frac{\\pi}{3} - \\frac{\\sqrt{3}}{4}) a^2<\/pre><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"401\" src=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-04.jpg\" alt=\"\" class=\"wp-image-36964\" srcset=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-04.jpg 400w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-04-300x300.jpg 300w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-04-150x150.jpg 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u0635\u0648\u0631\u062a\u06cc \u06cc\u06a9 \u0642\u0637\u0627\u0639 \u06f9\u06f0 \u062f\u0631\u062c\u0647 \u0627\u0632 \u062f\u0627\u06cc\u0631\u0647\u200c\u0627\u06cc \u0628\u0647 \u0634\u0639\u0627\u0639 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0627\u0633\u062a \u0648 \u0645\u0633\u0627\u062d\u062a \u0622\u0646 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\\frac{90}{360} \\pi a^2 = \\frac{\\pi}{4} a^2<\/pre><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"401\" src=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-05.jpg\" alt=\"\" class=\"wp-image-36965\" srcset=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-05.jpg 400w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-05-300x300.jpg 300w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-05-150x150.jpg 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u0632\u0631\u062f\u0631\u0646\u06af \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0645\u0631\u0628\u0639\u06cc \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a \u06a9\u0647 \u0645\u0633\u0627\u062d\u062a \u062f\u0648 \u0642\u0637\u0627\u0639 \u06f9\u06f0 \u062f\u0631\u062c\u0647 \u0627\u0632 \u0622\u0646 \u06a9\u0645 \u0648 \u0645\u0633\u0627\u062d\u062a \u06cc\u06a9 \u06af\u0646\u0628\u062f \u0628\u0647 \u0622\u0646 \u0627\u0636\u0627\u0641\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0645\u0633\u0627\u062d\u062a \u0627\u06cc\u0646 \u0646\u0648\u0627\u0631 \u0632\u0631\u062f \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>a^2 - 2(\\frac{\\pi}{4} a^2) + (\\frac{\\pi}{3} - \\frac{\\sqrt{3}}{4}) a^2 = \n\\\\\n(1 - \\frac{\\pi}{2} + \\frac{\\pi}{3} - \\frac{\\sqrt{3}}{4}) a^2 =\n\\\\\n(1 - \\frac{\\pi}{6} - \\frac{\\sqrt{3}}{4})a^2<\/pre><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"401\" src=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-06.jpg\" alt=\"\" class=\"wp-image-36966\" srcset=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-06.jpg 400w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-06-300x300.jpg 300w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-06-150x150.jpg 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u0646\u0627\u0631\u0646\u062c\u06cc \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0647 \u0635\u0648\u0631\u062a \u06cc\u06a9 \u0645\u0631\u0628\u0639 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a \u06a9\u0647 \u0645\u0633\u0627\u062d\u062a \u06cc\u06a9 \u0642\u0637\u0627\u0639 \u06f9\u06f0 \u062f\u0631\u062c\u0647 \u0627\u0632 \u062f\u0627\u06cc\u0631\u0647 \u0648 \u062f\u0648 \u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u0632\u0631\u062f\u0631\u0646\u06af \u0627\u0632 \u0622\u0646 \u06a9\u0645 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0645\u0633\u0627\u062d\u062a \u0627\u06cc\u0646 \u0646\u0627\u062d\u06cc\u0647 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>a^2 - \\frac{\\pi}{4}a^2 - 2 (1 - \\frac{\\pi}{6} - \\frac{\\sqrt{3}}{4})a^2 = \n\\\\\n(1 - \\frac{\\pi}{4} - 2 + \\frac{\\pi}{3} + \\frac{\\sqrt{3}}{2}) a^2 = \n\\\\\n(-1 + \\frac{\\pi}{12} + \\frac{\\sqrt{3}}{2}) a^2\n<\/pre><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"401\" src=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-07.jpg\" alt=\"\" class=\"wp-image-36967\" srcset=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-07.jpg 400w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-07-300x300.jpg 300w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-07-150x150.jpg 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u062d\u0627\u0644 \u0645\u0633\u0627\u062d\u062a \u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u062e\u0648\u0627\u0633\u062a\u0647\u200c\u0634\u062f\u0647 \u062f\u0631 \u0633\u0624\u0627\u0644 \u06cc\u06a9 \u0645\u0631\u0628\u0639 \u0627\u0633\u062a \u06a9\u0647 \u06f4 \u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u0646\u0627\u0631\u0646\u062c\u06cc\u200c\u0631\u0646\u06af \u0648 \u06f4 \u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u0632\u0631\u062f\u0631\u0646\u06af \u0627\u0632 \u0622\u0646 \u06a9\u0645 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u067e\u0627\u0633\u062e \u0645\u0633\u0626\u0644\u0647 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>a^2 - 4(-1 + \\frac{\\pi}{12} + \\frac{\\sqrt{3}}{2}) a^2 - 4(1 - \\frac{\\pi}{6} - \\frac{\\sqrt{3}}{4})a^2 =\n\\\\\n(1 + 4 -\\frac{\\pi}{3} - 2\\sqrt{3} - 4 + \\frac{2\\pi}{3} + \\sqrt{3})a^2 = \n\\\\\n(1 + \\frac{\\pi}{3} - \\sqrt{3})a^2\n<\/pre><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"401\" src=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-01.jpg\" alt=\"\" class=\"wp-image-36961\" srcset=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-01.jpg 400w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-01-300x300.jpg 300w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2022\/07\/Contest-01-150x150.jpg 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\" style=\"font-size:15px\">\u0631\u0627\u0647\u200c\u062d\u0644 \u062f\u0648\u0645<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0645\u0633\u0627\u062d\u062a \u0646\u0627\u062d\u06cc\u0647\u200c\u06cc \u062d\u0633\u0627\u0628\u200c\u0634\u062f\u0647 \u062f\u0631 \u0648\u0631\u0648\u062f\u06cc \u0646\u0645\u0648\u0646\u0647\u200c\u06cc \u0627\u0648\u0644 \u0628\u0631\u0627\u06cc \u0645\u0631\u0628\u0639\u06cc \u0628\u0647 \u0636\u0644\u0639 \u06f1 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u062c\u0648\u0627\u0628 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0645\u0631\u0628\u0639\u06cc \u0628\u0647 \u0636\u0644\u0639 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u062d\u0633\u0627\u0628 \u06a9\u0646\u06cc\u0645\u060c \u06a9\u0627\u0641\u06cc \u0627\u0633\u062a \u062c\u0648\u0627\u0628 \u0648\u0631\u0648\u062f\u06cc \u0646\u0645\u0648\u0646\u0647\u200c\u06cc \u0627\u0648\u0644 \u0631\u0627 \u062f\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">a^2<\/span> \u0636\u0631\u0628 \u06a9\u0646\u06cc\u0645.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u0633\u06cc\u0633\u062a\u0645 \u062f\u0627\u0648\u0631\u06cc \u0627\u0646\u062a\u0638\u0627\u0631 \u062f\u0627\u0631\u062f \u062c\u0648\u0627\u0628 \u0634\u0645\u0627 \u062a\u0627 \u06f6 \u0631\u0642\u0645 \u0628\u0639\u062f \u0627\u0632 \u0627\u0639\u0634\u0627\u0631 \u062f\u0631\u0633\u062a \u0628\u0627\u0634\u062f. \u0628\u0627\u062a\u0648\u062c\u0647 \u0628\u0647 \u062e\u0637\u0627\u06cc \u06af\u0631\u062f\u06a9\u0631\u062f\u0646 \u0627\u0639\u062f\u0627\u062f \u0648 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span>\u060c \u0628\u0627\u06cc\u062f \u062d\u062f\u0627\u0642\u0644 \u062c\u0648\u0627\u0628 \u0646\u0645\u0648\u0646\u0647\u200c\u06cc \u0627\u0648\u0644 \u0631\u0627 \u062a\u0627 \u062f\u0642\u062a \u06f6 + \u06f4 + \u06f1 = \u06f1\u06f1 \u0631\u0642\u0645 \u0628\u0631\u062f\u0627\u0631\u06cc\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:18px\"><span class=\"ez-toc-section\" id=\"%D8%B3%DB%8C%D9%86%D9%88%D8%B3_%D8%B7%D8%A8%DB%8C%D8%B9%DB%8C\"><\/span><a href=\"https:\/\/quera.org\/problemset\/147194\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u0633\u06cc\u0646\u0648\u0633 \u0637\u0628\u06cc\u0639\u06cc<\/a><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" style=\"font-size:15px\">\u0631\u0627\u0647\u200c\u062d\u0644 \u0627\u0648\u0644<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0639\u062f \u0627\u0632 \u0648\u0631\u0648\u062f\u06cc \u06af\u0631\u0641\u062a\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">k<\/span>\u060c \u0628\u0627 \u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u062d\u0644\u0642\u0647 \u0628\u0647\u200c\u0631\u0627\u062d\u062a\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0645\u0642\u062f\u0627\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u0645\u0637\u0644\u0648\u0628 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" style=\"font-size:15px\">\u0631\u0627\u0647\u200c\u062d\u0644 \u062f\u0648\u0645<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0639\u062f\u062f <span class=\"katex-eq\" data-katex-display=\"false\">n = 208341<\/span> \u0628\u0647 \u0627\u0646\u062f\u0627\u0632\u0647\u200c\u06cc \u06a9\u0627\u0641\u06cc \u06a9\u0648\u0686\u06a9 (\u06a9\u0645\u062a\u0631 \u0627\u0632 <span class=\"katex-eq\" data-katex-display=\"false\">\\frac{1}{100000}<\/span>) \u0627\u0633\u062a. \u067e\u0633 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0647\u0645\u06cc\u0646 \u0639\u062f\u062f \u0631\u0627 \u0686\u0627\u067e \u06a9\u0646\u06cc\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:18px\"><span class=\"ez-toc-section\" id=\"%D8%A7%D8%AA%D9%88%D9%85%D9%88%D8%B1%D9%81%DB%8C%DA%A9\"><\/span><a href=\"https:\/\/quera.org\/problemset\/147195\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u0627\u062a\u0648\u0645\u0648\u0631\u0641\u06cc\u06a9<\/a><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" style=\"font-size:15px\">\u0631\u0627\u0647\u200c\u062d\u0644 \u0627\u0648\u0644<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0639\u062f\u062f <span class=\"katex-eq\" data-katex-display=\"false\">k<\/span> \u0631\u0642\u0645\u06cc\u0650 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0627\u062a\u0648\u0645\u0648\u0631\u0641\u06cc\u06a9 \u0627\u0633\u062a \u0627\u06af\u0631 \u0648 \u062a\u0646\u0647\u0627 \u0627\u06af\u0631:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>10^k | a(a - 1)<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0647 \u0647\u0645\u06cc\u0646 \u062f\u0644\u06cc\u0644 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u062a\u0634\u062e\u06cc\u0635 \u062f\u0627\u062f \u06a9\u0647 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u06cc\u0627 <span class=\"katex-eq\" data-katex-display=\"false\">a - 1<\/span> \u0628\u0627\u06cc\u062f \u062a\u0639\u062f\u0627\u062f \u0632\u06cc\u0627\u062f\u06cc \u0639\u0627\u0645\u0644 \u06f5 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0627 \u0647\u0645\u06cc\u0646 \u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u06f3\u06f6 \u0639\u062f\u062f \u0627\u062a\u0648\u0645\u0648\u0631\u0641\u06cc\u06a9\u0650 \u0627\u0648\u0644 \u0631\u0627 \u0634\u0646\u0627\u0633\u0627\u06cc\u06cc \u0648 \u0630\u062e\u06cc\u0631\u0647 \u06a9\u0631\u062f. <\/p>\n\n\n\n<h3 class=\"wp-block-heading\" style=\"font-size:15px\">\u0631\u0627\u0647\u200c\u062d\u0644 \u062f\u0648\u0645<\/h3>\n\n\n\n<p>\u0627\u06cc\u0646 \u062f\u0646\u0628\u0627\u0644\u0647 \u0645\u0639\u0631\u0648\u0641 \u0627\u0633\u062a \u0648 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0622\u0646 \u0631\u0627 \u062f\u0631\u00a0 \u0627\u06cc\u0646 <a href=\"https:\/\/oeis.org\/A003226\" target=\"_blank\" rel=\"noopener\">\u0633\u0627\u06cc\u062a<\/a> \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0647 \u0648 \u06f3\u06f6 \u062c\u0645\u0644\u0647\u200c\u06cc \u0627\u0648\u0644 \u0622\u0646 \u0631\u0627 \u0686\u0627\u067e \u06a9\u0646\u06cc\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:18px\"><span class=\"ez-toc-section\" id=\"%DB%8C%DA%A9%E2%80%8C%D8%B3%D8%A7%D8%B2%DB%8C\"><\/span><a href=\"https:\/\/quera.org\/problemset\/147192\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u06cc\u06a9\u200c\u0633\u0627\u0632\u06cc<\/a><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0634\u0631\u0637 \u0644\u0627\u0632\u0645 \u0648 \u06a9\u0627\u0641\u06cc \u0648\u062c\u0648\u062f \u0686\u0646\u06cc\u0646 \u0645\u0636\u0631\u0628\u06cc \u0628\u0631\u0627\u06cc <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 <span class=\"katex-eq\" data-katex-display=\"false\">gcd(a, 10)<\/span> \u0628\u0631\u0627\u0628\u0631 \u06f1 \u0628\u0627\u0634\u062f. (\u06cc\u0639\u0646\u06cc \u0639\u0627\u0645\u0644 \u06f2 \u06cc\u0627 \u06f5 \u0646\u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u062b\u0628\u0627\u062a \u0627\u0639\u062f\u0627\u062f \u0632\u06cc\u0631 \u0631\u0627 \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>r_1 = 1\n\\\\\nr_2 = 11\n\\\\\nr_3 = 111\n\\\\\n\\dots\n\\\\\nr_a = 11\\dots1\n\\\\\n\\dots<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u06af\u0631 \u062f\u0631 \u06cc\u06a9\u06cc \u0627\u0632 \u0627\u0639\u062f\u0627\u062f <span class=\"katex-eq\" data-katex-display=\"false\">r_1<\/span> \u062a\u0627 <span class=\"katex-eq\" data-katex-display=\"false\">r_a<\/span> \u0639\u062f\u062f\u06cc \u0645\u0636\u0631\u0628 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0628\u0627\u0634\u062f\u060c \u0645\u0633\u0626\u0644\u0647 \u062a\u0645\u0627\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u0645\u0627 \u0627\u06af\u0631 \u0647\u06cc\u0686\u200c\u06a9\u062f\u0627\u0645 \u0645\u0636\u0631\u0628 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0646\u0628\u0627\u0634\u0646\u062f\u060c \u062f\u0648 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d <span class=\"katex-eq\" data-katex-display=\"false\">i<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">j<\/span> \u0686\u0646\u0627\u0646 \u0645\u0648\u062c\u0648\u062f \u0627\u0633\u062a \u06a9\u0647:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>i &lt; j, \\quad a \\,|\\, r_j - r_i = 10^i \\times r_{j - i}<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u0645\u0627 \u0686\u0648\u0646 \u0645\u06cc\u200c\u062f\u0627\u0646\u06cc\u0645 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0646\u0633\u0628\u062a \u0628\u0647 \u06f1\u06f0 \u0627\u0648\u0644 \u0627\u0633\u062a \u062f\u0627\u0631\u06cc\u0645:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>a | r_{j - i}\n<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u0648 \u0627\u06cc\u0646 \u062a\u0646\u0627\u0642\u0636 \u0646\u0634\u0627\u0646 \u0645\u06cc\u200c\u062f\u0647\u062f \u06a9\u0647 \u0647\u0645\u0648\u0627\u0631\u0647 \u0686\u0646\u06cc\u0646 \u0645\u0636\u0631\u0628\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0631\u0627\u06cc \u0627\u0639\u062f\u0627\u062f\u06cc \u0645\u062b\u0644 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u06a9\u0647 \u0646\u0633\u0628\u062a \u0628\u0647 \u06f1\u06f0 \u0627\u0648\u0644 \u0646\u06cc\u0633\u062a\u0646\u062f \u0647\u0645 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u06af\u0641\u062a \u06a9\u0647 \u0686\u0646\u06cc\u0646 \u0645\u0636\u0631\u0628\u06cc \u0646\u062f\u0627\u0631\u0646\u062f\u061b \u0686\u0648\u0646 \u0627\u06af\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0646\u0633\u0628\u062a \u0628\u0647 \u06f1\u06f0 \u0627\u0648\u0644 \u0646\u0628\u0627\u0634\u062f\u060c \u06cc\u0627 \u0632\u0648\u062c \u0627\u0633\u062a \u06cc\u0627 \u0645\u0636\u0631\u0628 \u06f5 \u0648 \u0627\u06cc\u0646 \u06cc\u0639\u0646\u06cc \u06cc\u06a9\u0627\u0646 \u0622\u0646 \u0646\u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u06f1 \u0628\u0627\u0634\u062f. \u067e\u0633 \u0686\u0646\u06cc\u0646 \u0645\u0636\u0631\u0628\u06cc \u0646\u062f\u0627\u0631\u062f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u06af\u0631 \u0628\u0647 \u0627\u062b\u0628\u0627\u062a \u0628\u0627\u0644\u0627 \u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u0645\u060c \u0645\u062a\u0648\u062c\u0647 \u0645\u06cc\u200c\u0634\u0648\u06cc\u0645 \u06a9\u0647 \u0627\u06cc\u0646 \u0645\u0636\u0631\u0628 \u0628\u0631\u0627\u06cc <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u062d\u062f\u0627\u06a9\u062b\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span>\u0631\u0642\u0645\u06cc \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0647\u0645\u0647\u200c\u06cc \u0627\u0639\u062f\u0627\u062f\u06cc \u06a9\u0647 \u0627\u0631\u0642\u0627\u0645 \u0622\u0646\u200c\u0647\u0627 \u0627\u0632 \u06f1 \u062a\u0648\u0644\u06cc\u062f \u0634\u062f\u0647\u200c\u0627\u0646\u062f \u0631\u0627 \u0628\u0647 \u067e\u06cc\u0645\u0627\u0646\u0647 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u062d\u0633\u0627\u0628 \u0648 \u0639\u062f\u062f\u06cc \u06a9\u0647 \u0628\u0627\u0642\u06cc\u200c\u0645\u0627\u0646\u062f\u0647 \u0622\u0646 \u0628\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0635\u0641\u0631 \u0627\u0633\u062a \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0647 \u0648 \u0628\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0646\u06cc\u0645 \u062a\u0627 \u062c\u0648\u0627\u0628 \u0645\u0633\u0626\u0644\u0647 \u0628\u0647 \u062f\u0633\u062a \u0622\u06cc\u062f. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0633\u0644\u0627\u0645! \u0645\u0633\u0627\u0628\u0642\u0647\u200c\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u0634\u0645\u0627\u0631\u0647\u200c\u06cc&nbsp;\u06f4\u06f4\u060c \u06cc\u06a9 \u0645\u0633\u0627\u0628\u0642\u0647&nbsp;\u0622\u0645\u0648\u0632\u0634\u06cc&nbsp;\u0647\u0633\u062a \u06a9\u0647 \u0628\u0627 \u0647\u062f\u0641 \u062a\u0645\u0631\u06cc\u0646 \u0648 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0628\u06cc\u0634\u062a\u0631 \u0628\u0631\u0627\u06cc \u0634\u0645\u0627 \u0637\u0631\u0627\u062d\u06cc \u0634\u062f\u0647. \u0627\u06cc\u0646 \u0645\u0633\u0627\u0628\u0642\u0647 \u0634\u0627\u0645\u0644&#8230;<\/p>\n","protected":false},"author":22,"featured_media":36709,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[141,46,50],"tags":[],"class_list":["post-36708","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-contests-and-events","category-developer","category-quera-developer"],"_links":{"self":[{"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/posts\/36708","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/comments?post=36708"}],"version-history":[{"count":11,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/posts\/36708\/revisions"}],"predecessor-version":[{"id":37131,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/posts\/36708\/revisions\/37131"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/media\/36709"}],"wp:attachment":[{"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/media?parent=36708"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/categories?post=36708"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/tags?post=36708"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}