{"id":39830,"date":"2022-11-04T20:32:58","date_gmt":"2022-11-04T17:02:58","guid":{"rendered":"https:\/\/quera.org\/blog\/?p=39830"},"modified":"2022-11-10T23:18:34","modified_gmt":"2022-11-10T19:48:34","slug":"codecup-7-algorithm-warm-up-solutions","status":"publish","type":"post","link":"https:\/\/quera.org\/blog\/codecup-7-algorithm-warm-up-solutions\/","title":{"rendered":"\u0631\u0627\u0647\u0646\u0645\u0627\u06cc\u06cc \u0633\u0624\u0627\u0644\u0627\u062a \u0645\u0633\u0627\u0628\u0642\u0647\u0654 \u062f\u0633\u062a\u200c\u06af\u0631\u0645\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u06a9\u062f\u06a9\u0627\u067e \u06f7\u00a0"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627\u06cc \u0633\u0624\u0627\u0644\u0627\u062a \u0645\u0633\u0627\u0628\u0642\u0647\u0654 \u062f\u0633\u062a\u200c\u06af\u0631\u0645\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u06a9\u062f\u06a9\u0627\u067e \u06f7 \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u062a\u0648\u0636\u06cc\u062d \u062f\u0627\u062f\u0647 \u0634\u062f\u0646\u062f. \u062f\u0631 \u0635\u0648\u0631\u062a\u06cc \u06a9\u0647 \u0645\u062a\u0648\u062c\u0647 \u0631\u0627\u0647\u200c\u062d\u0644\u06cc \u0646\u0634\u062f\u06cc\u062f\u060c \u0645\u06cc\u200c\u062a\u0648\u0646\u06cc\u062f \u062f\u0631 \u0628\u062e\u0634 \u0646\u0638\u0631\u0627\u062a\u060c \u0633\u0624\u0627\u0644\u0627\u062a \u0648 \u0627\u0628\u0647\u0627\u0645\u200c\u0647\u0627\u06cc \u062e\u0648\u062f\u062a\u0648\u0646 \u0631\u0648 \u0645\u0637\u0631\u062d \u06a9\u0646\u06cc\u062f. \u0627\u06af\u0647 \u0631\u0627\u0647\u200c\u062d\u0644 \u062f\u06cc\u06af\u0647\u200c\u0627\u06cc \u0628\u0631\u0627\u06cc \u0633\u0624\u0627\u0644\u0627\u062a \u062f\u0627\u0631\u06cc\u062f\u060c \u062e\u0648\u0634\u062d\u0627\u0644 \u0645\u06cc\u200c\u0634\u06cc\u0645 \u06a9\u0647 \u0631\u0627\u0647\u200c\u062d\u0644\u062a\u0648\u0646 \u0631\u0648 \u062f\u0631 \u0628\u062e\u0634 \u0646\u0638\u0631\u0627\u062a \u0628\u0627 \u0645\u0627 \u0648 \u062f\u0648\u0633\u062a\u0627\u0646\u062a\u0648\u0646 \u0628\u0647 \u0627\u0634\u062a\u0631\u0627\u06a9 \u0628\u0630\u0627\u0631\u06cc\u062f.<\/p>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 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\/codecup-7-algorithm-warm-up-solutions\/#%D8%AA%DA%A9%D8%B1%D8%A7%D8%B1_%DA%A9%D8%AF%DA%A9%D8%A7%D9%BE%DB%8C\" >\u062a\u06a9\u0631\u0627\u0631 \u06a9\u062f\u06a9\u0627\u067e\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:\/\/quera.org\/blog\/codecup-7-algorithm-warm-up-solutions\/#%D8%AF%D9%8E%D9%86%DA%AF_%D9%88_%D8%AF%D9%8F%D9%86%DA%AF\" >\u062f\u064e\u0646\u06af \u0648 \u062f\u064f\u0646\u06af<\/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\/codecup-7-algorithm-warm-up-solutions\/#%D9%87%DA%AF%D8%B2%D8%A7%D9%86%D9%88%D8%B1%D8%AF%DB%8C\" >\u0647\u06af\u0632\u0627\u0646\u0648\u0631\u062f\u06cc<\/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\/codecup-7-algorithm-warm-up-solutions\/#%D8%AF%D9%86%D8%A8%D8%A7%D9%84%D9%87_%DA%AF%D9%85%D8%B4%D8%AF%D9%87\" >\u062f\u0646\u0628\u0627\u0644\u0647 \u06af\u0645\u0634\u062f\u0647<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"has-medium-font-size wp-block-heading\" id=\"h-\u062a\u06a9\u0631\u0627\u0631-\u06a9\u062f\u06a9\u0627\u067e\u06cc\"><span class=\"ez-toc-section\" id=\"%D8%AA%DA%A9%D8%B1%D8%A7%D8%B1_%DA%A9%D8%AF%DA%A9%D8%A7%D9%BE%DB%8C\"><\/span><a href=\"https:\/\/quera.org\/problemset\/127289\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>\u062a\u06a9\u0631\u0627\u0631 \u06a9\u062f\u06a9\u0627\u067e\u06cc<\/strong><\/a><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0627\u06cc\u0646\u06a9\u0647 \u0645\u0642\u062f\u0627\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span>\u0627\u06cc \u06a9\u0647 \u0628\u0647 \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u06cc \u0634\u0645\u0627 \u062f\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u062e\u06cc\u0644\u06cc \u0628\u0632\u0631\u06af \u0646\u06cc\u0633\u062a\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0631\u0634\u062a\u0647\u200c\u06cc <code>codecup6codecup6...<\/code> \u0631\u0627 \u062a\u0627 \u062d\u062f\u0627\u0642\u0644 \u06f1\u06f0\u06f0 \u06a9\u0627\u0631\u0627\u06a9\u062a\u0631 \u062f\u0631 \u0631\u0634\u062a\u0647\u200c\u0627\u06cc \u0645\u062b\u0644 <span class=\"katex-eq\" data-katex-display=\"false\">s<\/span> \u0630\u062e\u06cc\u0631\u0647 \u06a9\u0631\u062f\u0647 \u0648 \u0628\u0627 \u062f\u0631\u06cc\u0627\u0641\u062a <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u0645\u0642\u062f\u0627\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">s[n]<\/span> \u0631\u0627 \u0686\u0627\u067e \u06a9\u0631\u062f.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-\u0631\u0627\u0647-\u062d\u0644-\u0628\u0647-\u0632\u0628\u0627\u0646-\u0633\u06cc-\u067e\u0644\u0627\u0633-\u067e\u0644\u0627\u0633\" style=\"font-size:16px\"><strong>\u0631\u0627\u0647\u200c\u062d\u0644 \u0628\u0647 \u0632\u0628\u0627\u0646 \u0633\u06cc\u200c\u067e\u0644\u0627\u0633\u200c\u067e\u0644\u0627\u0633<\/strong>:<\/h3>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"cpp\" class=\"language-cpp line-numbers\">#include &lt;iostream&gt;\n\nusing namespace std;\n\nint main()\n{\n\tstring s = \"\";\n\tfor (int i = 0; i &lt; 13; i++)\n\t\ts += \"codecup6\";\n\n\tint n;\n\tcin &gt;&gt; n;\n\tcout &lt;&lt; s[n - 1] &lt;&lt; endl;\n\n\treturn 0;\n}<\/code><\/pre>\n\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-\u0631\u0627\u0647-\u062d\u0644-\u0628\u0647-\u0632\u0628\u0627\u0646-\u067e\u0627\u06cc\u062a\u0648\u0646\" style=\"font-size:16px\">\u0631\u0627\u0647\u200c\u062d\u0644 \u0628\u0647 \u0632\u0628\u0627\u0646 \u067e\u0627\u06cc\u062a\u0648\u0646:<\/h3>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python line-numbers\">s = \"codecup6\" * 13\nn = int(input())\nprint(s[n - 1])<\/code><\/pre>\n\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"has-medium-font-size wp-block-heading\" id=\"h-\u062f-\u0646\u06af-\u0648-\u062f-\u0646\u06af\"><span class=\"ez-toc-section\" id=\"%D8%AF%D9%8E%D9%86%DA%AF_%D9%88_%D8%AF%D9%8F%D9%86%DA%AF\"><\/span><a href=\"https:\/\/quera.org\/problemset\/127290\/\"><strong>\u062f\u064e\u0646\u06af \u0648 \u062f\u064f\u0646\u06af<\/strong><\/a><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0645\u0633\u0626\u0644\u0647 \u0628\u0631\u0627\u06cc \u0647\u0631 \u062a\u0633\u062a \u0631\u0627 \u062c\u062f\u0627 \u062d\u0644 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645. \u0645\u062c\u0645\u0648\u0639 \u0647\u0632\u06cc\u0646\u0647\u200c\u0627\u06cc \u06a9\u0647 \u0628\u0627\u06cc\u062f \u0647\u0645\u0647\u200c\u06cc \u0627\u0641\u0631\u0627\u062f \u0628\u067e\u0631\u062f\u0627\u0632\u0646\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>S + (n - 1)a<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u067e\u0633 \u0627\u06af\u0631 \u0628\u062e\u0648\u0627\u0647\u06cc\u0645 \u0647\u0645\u0647 \u0628\u0647 \u0627\u0646\u062f\u0627\u0632\u0647\u200c\u06cc \u0628\u0631\u0627\u0628\u0631 \u062f\u0631 \u0647\u0632\u06cc\u0646\u0647\u200c\u0647\u0627 \u0634\u0631\u06cc\u06a9 \u0628\u0627\u0634\u0646\u062f\u060c \u0647\u0631\u06a9\u0633 \u0628\u0627\u06cc\u062f:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\\frac{S + (n - 1)a}{n}<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u0632 \u062d\u0633\u0627\u0628\u0634 \u06a9\u0645 \u0634\u0648\u062f. \u067e\u0633 \u0647\u0645\u0647 (\u0628\u0647 \u062c\u0632 \u0645\u0627\u062f\u0631\u062e\u0631\u062c) \u0628\u0627\u06cc\u062f:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\\frac{S + (n - 1)a}{n} - a = \\frac{S - a}{n}<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u062f\u0631 \u0635\u0648\u0631\u062a\u06cc \u06a9\u0647 <span class=\"katex-eq\" data-katex-display=\"false\">S - a<\/span> \u0628\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631 \u0648 \u06cc\u0627 \u0645\u062b\u0628\u062a \u0646\u0628\u0627\u0634\u062f\u060c \u0628\u0627\u06cc\u062f <code>1-<\/code> \u0631\u0627 \u0686\u0627\u067e \u06a9\u0631\u062f\u0647 \u0648 \u062f\u0631 \u063a\u06cc\u0631 \u0627\u06cc\u0646\u200c\u0635\u0648\u0631\u062a <span class=\"katex-eq\" data-katex-display=\"false\">\\frac{S - a}{n}<\/span> \u0631\u0627 \u0686\u0627\u067e \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-\u0631\u0627\u0647-\u062d\u0644-\u0628\u0647-\u0632\u0628\u0627\u0646-\u0633\u06cc-\u067e\u0644\u0627\u0633-\u067e\u0644\u0627\u0633-1\" style=\"font-size:16px\"><strong>\u0631\u0627\u0647\u200c\u062d\u0644 \u0628\u0647 \u0632\u0628\u0627\u0646 \u0633\u06cc\u200c\u067e\u0644\u0627\u0633\u200c\u067e\u0644\u0627\u0633<\/strong>:<\/h3>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"cpp\" class=\"language-cpp line-numbers\">#include &lt;iostream&gt;\n\nusing namespace std;\n\nint main()\n{\n\tint t;\n\tcin &gt;&gt; t;\n\twhile (t--)\n\t{\n\t\tint n, S, a;\n\t\tcin &gt;&gt; n &gt;&gt; S &gt;&gt; a;\n\n\t\tif (S - a &lt;= 0 || (S - a) % n != 0)\n\t\t\tcout &lt;&lt; \"-1\\n\";\n\t\telse\n\t\t\tcout &lt;&lt; (S - a) \/ n &lt;&lt; \"\\n\";\n\t}\n\t\n\treturn 0;\n}<\/code><\/pre>\n\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-\u0631\u0627\u0647-\u062d\u0644-\u0628\u0647-\u0632\u0628\u0627\u0646-\u067e\u0627\u06cc\u062a\u0648\u0646-1\" style=\"font-size:16px\"><strong>\u0631\u0627\u0647\u200c\u062d\u0644 \u0628\u0647 \u0632\u0628\u0627\u0646 \u067e\u0627\u06cc\u062a\u0648\u0646:<\/strong><\/h3>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python line-numbers\">t = int(input())\nfor i in range(t):\n\tn, s, a = map(int, input().split())\n\tif s - a &lt;= 0 or (s - a) % n != 0:\n\t\tprint(-1)\n\telse:\n\t\tprint((s - a) \/\/ n)<\/code><\/pre>\n\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"has-medium-font-size wp-block-heading\" id=\"h-\u0647\u06af\u0632\u0627\u0646\u0648\u0631\u062f\u06cc\"><span class=\"ez-toc-section\" id=\"%D9%87%DA%AF%D8%B2%D8%A7%D9%86%D9%88%D8%B1%D8%AF%DB%8C\"><\/span><a href=\"https:\/\/quera.org\/problemset\/127291\/\"><strong>\u0647\u06af\u0632\u0627\u0646\u0648\u0631\u062f\u06cc<\/strong><\/a><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0645\u06cc\u200c\u062e\u0648\u0627\u0647\u06cc\u0645 \u0631\u0634\u062a\u0647\u200c\u06cc \u062f\u0627\u062f\u0647\u200c\u0634\u062f\u0647 \u0631\u0627 \u062a\u063a\u06cc\u06cc\u0631 \u062f\u0647\u06cc\u0645 \u062a\u0627 \u0628\u0647 \u0645\u0633\u06cc\u0631\u06cc \u0628\u0627 \u0637\u0648\u0644 \u0628\u0647\u06cc\u0646\u0647 \u0628\u0631\u0633\u06cc\u0645. \u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u062a\u0631\u062a\u06cc\u0628 \u0642\u0631\u0627\u0631 \u06af\u0631\u0641\u062a\u0646 \u06a9\u0627\u0631\u0627\u06a9\u062a\u0631\u0647\u0627 \u062f\u0631 \u0631\u0634\u062a\u0647\u200c\u06cc \u062f\u0627\u062f\u0647\u200c\u0634\u062f\u0647\u060c \u062a\u063a\u06cc\u06cc\u0631\u06cc \u062f\u0631 \u067e\u0627\u0633\u062e \u0645\u0633\u0626\u0644\u0647 \u0627\u06cc\u062c\u0627\u062f \u0646\u0645\u06cc\u200c\u06a9\u0646\u062f. (\u0686\u0631\u0627\u061f)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u067e\u0633 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u06cc\u06a9 \u0645\u0633\u06cc\u0631 \u0631\u0627 \u0628\u0627 \u06f6 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u0648 \u0646\u0627\u0645\u0646\u0641\u06cc <span class=\"katex-eq\" data-katex-display=\"false\">cnt_A<\/span>\u060c <span class=\"katex-eq\" data-katex-display=\"false\">cnt_B<\/span>\u060c <span class=\"katex-eq\" data-katex-display=\"false\">cnt_C<\/span>\u060c <span class=\"katex-eq\" data-katex-display=\"false\">cnt_D<\/span>\u060c <span class=\"katex-eq\" data-katex-display=\"false\">cnt_E<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">cnt_F<\/span> \u0646\u0634\u0627\u0646 \u062f\u0647\u06cc\u0645.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u062c\u0647\u062a \u0628\u0631\u062f\u0627\u0631\u0647\u0627 \u06af\u0641\u062a:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">D<\/span> \u0628\u0631\u0639\u06a9\u0633 \u06cc\u06a9\u062f\u06cc\u06af\u0631\u0646\u062f.<\/li>\n\n\n\n<li>\u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">E<\/span> \u0628\u0631\u0639\u06a9\u0633 \u06cc\u06a9\u062f\u06cc\u06af\u0631\u0646\u062f.<\/li>\n\n\n\n<li>\u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u0628\u0631\u0639\u06a9\u0633 \u06cc\u06a9\u062f\u06cc\u06af\u0631\u0646\u062f.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u067e\u0633 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0641\u0631\u0636 \u06a9\u0631\u062f \u06a9\u0647 \u0627\u0632 \u0647\u0631\u06a9\u062f\u0627\u0645 \u0627\u0632 \u0627\u06cc\u0646 \u06f3 \u062f\u0633\u062a\u0647\u060c \u062d\u062f\u0627\u06a9\u062b\u0631 \u06cc\u06a9 \u062d\u0631\u06a9\u062a \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f. \u0686\u0648\u0646 \u062f\u0631 \u063a\u06cc\u0631 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a \u0627\u0632 \u0647\u0631 \u062f\u0648 \u0646\u0648\u0639 \u062d\u0631\u06a9\u062a \u06cc\u06a9 \u0648\u0627\u062d\u062f \u06a9\u0645 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0647\u0645\u0686\u0646\u06cc\u0646 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0642\u0627\u0646\u0648\u0646 \u062c\u0645\u0639 \u0628\u0631\u062f\u0627\u0631\u0647\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u06af\u0641\u062a:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u062f\u0648 \u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u0645\u0639\u0627\u062f\u0644 \u06cc\u06a9 \u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0627\u0633\u062a.<\/li>\n\n\n\n<li>\u062f\u0648 \u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">D<\/span> \u0645\u0639\u0627\u062f\u0644 \u06cc\u06a9 \u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u0627\u0633\u062a.<\/li>\n\n\n\n<li>\u062f\u0648 \u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">E<\/span> \u0645\u0639\u0627\u062f\u0644 \u06cc\u06a9 \u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">D<\/span> \u0627\u0633\u062a.<\/li>\n\n\n\n<li>\u062f\u0648 \u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">D<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u0645\u0639\u0627\u062f\u0644 \u06cc\u06a9 \u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">E<\/span> \u0627\u0633\u062a.<\/li>\n\n\n\n<li>\u062f\u0648 \u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">E<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0645\u0639\u0627\u062f\u0644 \u06cc\u06a9 \u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u0627\u0633\u062a.<\/li>\n\n\n\n<li>\u062f\u0648 \u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0645\u0639\u0627\u062f\u0644 \u06cc\u06a9 \u062d\u0631\u06a9\u062a <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0627\u0633\u062a.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u067e\u0633 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0641\u0631\u0636 \u06a9\u0631\u062f \u0627\u0632 \u06f6 \u062d\u0631\u06a9\u062a \u0645\u0648\u062c\u0648\u062f\u060c \u062d\u062f\u0627\u06a9\u062b\u0631 \u06f2 \u0646\u0648\u0639 \u062d\u0631\u06a9\u062a \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u062f\u0627\u0634\u062a (\u0686\u0631\u0627\u061f) \u0648 \u067e\u0627\u0633\u062e \u0645\u0633\u0626\u0644\u0647 \u0628\u0631\u0627\u0628\u0631 \u062c\u0645\u0639 \u0627\u06cc\u0646 \u062f\u0648 \u0639\u062f\u062f \u0627\u0633\u062a.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-\u0631\u0627\u0647-\u062d\u0644-\u0628\u0647-\u0632\u0628\u0627\u0646-\u0633\u06cc-\u067e\u0644\u0627\u0633-\u067e\u0644\u0627\u0633-2\" style=\"font-size:16px\"><strong>\u0631\u0627\u0647\u200c\u062d\u0644 \u0628\u0647 \u0632\u0628\u0627\u0646 \u0633\u06cc\u200c\u067e\u0644\u0627\u0633\u200c\u067e\u0644\u0627\u0633:<\/strong><\/h3>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"cpp\" class=\"language-cpp line-numbers\">#include &lt;iostream&gt;\n\nusing namespace std;\n\nint main()\n{\n    ios_base::sync_with_stdio(false); cin.tie(0);\n\n    int t;\n    cin &gt;&gt; t;\n    while (t--)\n    {\n        string s;\n        cin &gt;&gt; s;\n\n        int cnt[6] = {0, 0, 0, 0, 0, 0};\n        for (int i = 0;  i &lt; (int)s.size(); i++)\n            cnt[s[i] - 'A']++;\n\n        for (int i = 0; i &lt; 3; i++)\n        {\n            int m = min(cnt[i], cnt[i + 3]);\n            cnt[i] -= m;\n            cnt[i + 3] -= m;\n        }\n\n        for (int i = 0; i &lt; 6; i++)\n        {\n            int m = min(cnt[i], cnt[(i + 2) % 6]);\n            cnt[i] -= m;\n            cnt[(i + 2) % 6] -= m;\n            cnt[(i + 1) % 6] += m;\n\n            int idx = (i + 1) % 6;\n            \n            m = min(cnt[idx], cnt[(idx + 3) % 6]);\n            cnt[idx] -= m;\n            cnt[(idx + 3) % 6] -= m;\n        }\n\n        int ans = 0;\n        for (int i = 0; i &lt; 6; i++)\n            ans += cnt[i];\n\n        cout &lt;&lt; ans &lt;&lt; '\\n';\n    }\n    return 0;\n}<\/code><\/pre>\n\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-\u0631\u0627\u0647-\u062d\u0644-\u0628\u0647-\u0632\u0628\u0627\u0646-\u067e\u0627\u06cc\u062a\u0648\u0646-2\" style=\"font-size:16px\"><strong><strong>\u0631\u0627\u0647\u200c\u062d\u0644 \u0628\u0647 \u0632\u0628\u0627\u0646 \u067e\u0627\u06cc\u062a\u0648\u0646:<\/strong><\/strong><\/h3>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python line-numbers\">t = int(input())\nfor r in range(t):\n    s = input()\n    cnt = [0, 0, 0, 0, 0, 0]\n    for c in s:\n        cnt[ord(c) - ord('A')] += 1\n\n    for i in range(3):\n        m = min(cnt[i], cnt[i + 3])\n        cnt[i] -= m\n        cnt[i + 3] -= m\n\n    for i in range(6):\n        m = min(cnt[i], cnt[(i + 2) % 6])\n        cnt[i] -= m\n        cnt[(i + 2) % 6] -= m\n        cnt[(i + 1) % 6] += m\n\n        idx = (i + 1) % 6\n        \n        m = min(cnt[idx], cnt[(idx + 3) % 6])\n        cnt[idx] -= m\n        cnt[(idx + 3) % 6] -= m\n\n    print(sum(cnt))<\/code><\/pre>\n\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"has-medium-font-size wp-block-heading\" id=\"h-\u062f\u0646\u0628\u0627\u0644\u0647-\u06af\u0645\u0634\u062f\u0647\"><span class=\"ez-toc-section\" id=\"%D8%AF%D9%86%D8%A8%D8%A7%D9%84%D9%87_%DA%AF%D9%85%D8%B4%D8%AF%D9%87\"><\/span><a href=\"https:\/\/quera.org\/problemset\/127292\/\"><strong>\u062f\u0646\u0628\u0627\u0644\u0647 \u06af\u0645\u0634\u062f\u0647<\/strong><\/a><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u062b\u0627\u0628\u062a \u06a9\u0631\u062f \u0627\u06af\u0631 \u067e\u0627\u0633\u062e\u06cc \u0628\u0631\u0627\u06cc \u0645\u0633\u0626\u0644\u0647 \u0645\u0648\u062c\u0648\u062f \u0628\u0627\u0634\u062f \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u06cc\u06a9 \u067e\u06cc\u0634\u0648\u0646\u062f \u0627\u0632 \u062f\u0646\u0628\u0627\u0644\u0647\u200c\u06cc <span class=\"katex-eq\" data-katex-display=\"false\">b<\/span> \u0628\u0627\u0634\u062f. (\u0686\u0631\u0627\u061f)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u062d\u0627\u0644 \u0645\u06cc\u200c\u062e\u0648\u0627\u0647\u06cc\u0645 \u0628\u0631\u0627\u06cc \u0647\u0631 \u067e\u06cc\u0634\u0648\u0646\u062f \u0627\u0632 <span class=\"katex-eq\" data-katex-display=\"false\">b<\/span> \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0622\u06cc\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u06cc\u06a9 \u067e\u0627\u0633\u062e \u0628\u0631\u0627\u06cc \u0645\u0633\u0626\u0644\u0647 \u0628\u0627\u0634\u062f \u06cc\u0627 \u0646\u0647. \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u06cc\u0645 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0622\u06cc\u0627 \u062f\u0648 \u0632\u06cc\u0631\u062f\u0646\u0628\u0627\u0644\u0647\u200c\u06cc \u0628\u0647\u200c\u0647\u0645\u200c\u0686\u0633\u0628\u06cc\u062f\u0647 \u0627\u0632 <span class=\"katex-eq\" data-katex-display=\"false\">b<\/span> \u0628\u0627 \u0647\u0645 \u0628\u0631\u0627\u0628\u0631 \u0647\u0633\u062a\u0646\u062f \u06cc\u0627 \u0646\u0647. \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0645\u0642\u0627\u06cc\u0633\u0647\u200c\u06cc \u0686\u0646\u06cc\u0646 \u0686\u06cc\u0632\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u0632 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u062f\u0631\u0647\u0645\u200c\u0633\u0627\u0632\u06cc \u06cc\u0627 <code>hashing<\/code> \u06cc\u0627 <code>Z-Algorithm<\/code> \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0627\u06af\u0631 \u0647\u0645\u0647\u200c\u06cc \u0632\u06cc\u0631\u0631\u0634\u062a\u0647\u200c\u0647\u0627 \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u0645\u060c \u0645\u0631\u062a\u0628\u0647 \u0632\u0645\u0627\u0646\u06cc \u0627\u0632 <span class=\"katex-eq\" data-katex-display=\"false\">O(m.log(m))<\/span> \u062e\u0648\u0627\u0647\u062f \u0634\u062f. \u0686\u0648\u0646 \u0628\u0631\u0627\u06cc \u0645\u0642\u0627\u06cc\u0633\u0647 \u06a9\u0631\u062f\u0646 \u067e\u06cc\u0634\u0648\u0646\u062f \u0628\u0647 \u0637\u0648\u0644 <span class=\"katex-eq\" data-katex-display=\"false\">k<\/span> \u0628\u0627\u06cc\u062f <span class=\"katex-eq\" data-katex-display=\"false\">\\lceil\\frac{m}{k}\\rceil<\/span> \u0632\u06cc\u0631\u062f\u0646\u0628\u0627\u0644\u0647\u200c\u06cc \u0645\u062a\u0648\u0627\u0644\u06cc \u0627\u0632 <span class=\"katex-eq\" data-katex-display=\"false\">b<\/span> \u0631\u0627 \u0628\u0627 \u0647\u0645 \u0645\u0642\u0627\u06cc\u0633\u0647 \u06a9\u0646\u06cc\u0645.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u067e\u0633 \u0627\u06af\u0631 \u0641\u0631\u0636 \u06a9\u0646\u06cc\u0645 \u0647\u0631 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062f\u0631\u0647\u0645\u200c\u0633\u0627\u0632\u06cc \u0627\u0632 <span class=\"katex-eq\" data-katex-display=\"false\">O(1)<\/span> \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u0645\u0631\u062a\u0628\u0647\u200c\u06cc \u0632\u0645\u0627\u0646\u06cc \u06a9\u0644 \u0631\u0627\u0647\u200c\u062d\u0644 \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>\\sum_{k=1}^{m} \\lceil\\frac{m}{k}\\rceil - 1 \\leq \\sum_{k=1}^{m}\\frac{m}{k} = m\\sum_{k=1}^{m}\\frac{1}{k} = m.H(m) \\in O(m.log(m))<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0631\u0627\u0647\u200c\u062d\u0644 \u0628\u0647 \u0632\u0628\u0627\u0646 \u0633\u06cc\u200c\u067e\u0644\u0627\u0633\u200c\u067e\u0644\u0627\u0633:<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"cpp\" class=\"language-cpp line-numbers\">#include &lt;bits\/stdc++.h&gt;\n\nusing namespace std;\n\nconst int maxn = 1e6;\nint z[maxn], b[maxn];\n\nvoid solve() \n{\n    int m;\n    cin &gt;&gt; m;\n    for (int i = 0; i &lt; m; i++)\n        cin &gt;&gt; b[i];\n\n    int L = 0, R = 0;\n    for (int i = 1; i &lt; m; i++) \n    {\n        if (i &gt; R) \n        {\n            L = R = i;\n            while (R &lt; m &amp;&amp; b[R - L] == b[R]) \n                R++;\n            z[i] = R - L; \n            R--;\n        } \n        else \n        {\n            int k = i - L;\n            if (z[k] &lt; R - i + 1) \n                z[i] = z[k];\n            else \n            {\n                L = i;\n                while (R &lt; m &amp;&amp; b[R - L] == b[R]) \n                    R++;\n                z[i] = R - L; \n                R--;\n            }\n        }\n    }\n\n    for (int n = 1; n &lt;= m; n++) \n    {\n        bool okay = true;\n        for (int i = n; i + n &lt;= m; i += n)\n            if (z[i] &lt; n) \n            {\n                okay = false;\n                break;\n            }\n\n        if (m % n != 0 &amp;&amp; z[(m \/ n) * n] &lt; (m % n))\n            okay = false;\n\n        if (okay) \n        {\n            cout &lt;&lt; n &lt;&lt; '\\n';\n            for (int i = 0; i &lt; n; i++)\n                cout &lt;&lt; b[i] &lt;&lt; ' ';\n            cout &lt;&lt; '\\n';\n            return;\n        }\n    }\n}\n\nint main() \n{\n    ios_base::sync_with_stdio(false); cin.tie(0);\n\n    int tc;\n    cin &gt;&gt; tc;\n    while (tc--) \n        solve();\n\n    return 0;\n}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0631\u0627\u0647\u200c\u062d\u0644 \u0628\u0647 \u0632\u0628\u0627\u0646 \u067e\u0627\u06cc\u062a\u0648\u0646:<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python line-numbers\">t = int(input())\nfor i in range(t):\n    m = int(input())\n    a = list(map(int, input().split()))\n    base = 313\n    mod = [\n        int(1e9 + 7),\n        int(1e9 + 9),\n    ]\n    h = [\n        [0] * (m + 1), [0] * (m + 1)\n    ]\n    p = [\n        [1] * (m + 1), [1] * (m + 1)\n    ]\n    for j in range(m):\n        p[0][j + 1] = (p[0][j] * base) % mod[0]\n        p[1][j + 1] = (p[1][j] * base) % mod[1]\n    for j in range(m):\n        h[0][j + 1] = (h[0][j] * base + a[j]) % mod[0]\n        h[1][j + 1] = (h[1][j] * base + a[j]) % mod[1]\n    for j in range(1, m + 1):\n        if h[0][m - j] == ((h[0][m] - p[0][m-j] * h[0][j]) % mod[0] + mod[0]) % mod[0]:\n            if h[1][m - j] == ((h[1][m] - p[1][m-j] * h[1][j]) % mod[1] + mod[1]) % mod[1]:\n                print(j)\n                for k in range(j):\n                    print(a[k], end=' ')\n                print()\n                break\n<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627\u06cc \u0633\u0624\u0627\u0644\u0627\u062a \u0645\u0633\u0627\u0628\u0642\u0647\u0654 \u062f\u0633\u062a\u200c\u06af\u0631\u0645\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u06a9\u062f\u06a9\u0627\u067e \u06f7 \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u062a\u0648\u0636\u06cc\u062d \u062f\u0627\u062f\u0647 \u0634\u062f\u0646\u062f. \u062f\u0631 \u0635\u0648\u0631\u062a\u06cc \u06a9\u0647 \u0645\u062a\u0648\u062c\u0647 \u0631\u0627\u0647\u200c\u062d\u0644\u06cc \u0646\u0634\u062f\u06cc\u062f\u060c \u0645\u06cc\u200c\u062a\u0648\u0646\u06cc\u062f \u062f\u0631&#8230;<\/p>\n","protected":false},"author":22,"featured_media":39855,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[141,46,50],"tags":[],"class_list":["post-39830","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\/39830","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=39830"}],"version-history":[{"count":24,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/posts\/39830\/revisions"}],"predecessor-version":[{"id":40069,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/posts\/39830\/revisions\/40069"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/media\/39855"}],"wp:attachment":[{"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/media?parent=39830"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/categories?post=39830"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/tags?post=39830"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}