{"id":111477,"date":"2025-06-01T08:07:26","date_gmt":"2025-06-01T03:37:26","guid":{"rendered":"https:\/\/nabfollower.com\/blog\/2929-distribute-candies-among-children-ii-3f3k\/"},"modified":"2025-06-01T08:07:26","modified_gmt":"2025-06-01T03:37:26","slug":"2929-distribute-candies-among-children-ii-3f3k","status":"publish","type":"post","link":"https:\/\/nabfollower.com\/blog\/2929-distribute-candies-among-children-ii-3f3k\/","title":{"rendered":"2929. \u062a\u0648\u0632\u06cc\u0639 \u0622\u0628 \u0646\u0628\u0627\u062a \u062f\u0631 \u0628\u06cc\u0646 \u06a9\u0648\u062f\u06a9\u0627\u0646 II"},"content":{"rendered":"<div data-article-id=\"2550494\" id=\"article-body\">\n<p>2929. \u062a\u0648\u0632\u06cc\u0639 \u0622\u0628 \u0646\u0628\u0627\u062a \u062f\u0631 \u0628\u06cc\u0646 \u06a9\u0648\u062f\u06a9\u0627\u0646 II<\/p>\n<p><strong>\u0645\u0634\u06a9\u0644:<\/strong> \u0648\u0627\u0633\u0637\u0647<\/p>\n<p><strong>\u0645\u0628\u0627\u062d\u062b:<\/strong> <code>Math<\/code>\u0628\u0627 <code>Combinatorics<\/code>\u0628\u0627 <code>Enumeration<\/code><\/p>\n<p>\u0628\u0647 \u0634\u0645\u0627 \u062f\u0648 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u0645\u062b\u0628\u062a \u062f\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f <code>n<\/code> \u0648\u062a <code>limit<\/code>\u0628\u0634\u0631<\/p>\n<p>\u0628\u0627\u0632\u06af\u0634\u062a <em>\u062f\u0631 <strong>\u062a\u0639\u062f\u0627\u062f \u06a9\u0644<\/strong> \u0627\u0632 \u0631\u0627\u0647 \u0647\u0627\u06cc \u062a\u0648\u0632\u06cc\u0639 <code>n<\/code> \u0622\u0628 \u0646\u0628\u0627\u062a \u062f\u0631 \u0645\u06cc\u0627\u0646 <code>3<\/code> \u06a9\u0648\u062f\u06a9\u0627\u0646 \u0628\u0647 \u06af\u0648\u0646\u0647 \u0627\u06cc \u06a9\u0647 \u0647\u06cc\u0686 \u06a9\u0648\u062f\u06a9\u06cc \u0628\u06cc\u0634 \u0627\u0632 <code>limit<\/code> \u0622\u0628 \u0646\u0628\u0627\u062a<\/em>\u0628\u0634\u0631<\/p>\n<p><strong>\u0645\u062b\u0627\u0644 1:<\/strong><\/p>\n<ul>\n<li>\n<strong>\u0648\u0631\u0648\u062f\u06cc:<\/strong> n = 5 \u060c \u062d\u062f = 2<\/li>\n<li>\n<strong>\u062e\u0631\u0648\u062c\u06cc:<\/strong> 3<\/li>\n<li>\n<strong>\u062a\u0648\u0636\u06cc\u062d:<\/strong> 3 \u0631\u0648\u0634 \u0628\u0631\u0627\u06cc \u062a\u0648\u0632\u06cc\u0639 5 \u0622\u0628 \u0646\u0628\u0627\u062a \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u0628\u0647 \u06af\u0648\u0646\u0647 \u0627\u06cc \u06a9\u0647 \u0647\u06cc\u0686 \u06a9\u0648\u062f\u06a9\u06cc \u0628\u06cc\u0634 \u0627\u0632 2 \u0622\u0628 \u0646\u0628\u0627\u062a \u0646\u0645\u06cc \u06af\u06cc\u0631\u062f: (1 \u060c 2 \u060c 2) \u060c (2 \u060c 1 \u060c 2) \u0648 (2 \u060c 2 \u060c 1).<\/li>\n<\/ul>\n<p><strong>\u0645\u062b\u0627\u0644 2:<\/strong><\/p>\n<ul>\n<li>\n<strong>\u0648\u0631\u0648\u062f\u06cc:<\/strong> n = 3 \u060c \u062d\u062f = 3<\/li>\n<li>\n<strong>\u062e\u0631\u0648\u062c\u06cc:<\/strong> 10<\/li>\n<li>\n<strong>\u062a\u0648\u0636\u06cc\u062d:<\/strong> 10 \u0631\u0627\u0647 \u0628\u0631\u0627\u06cc \u062a\u0648\u0632\u06cc\u0639 3 \u0622\u0628 \u0646\u0628\u0627\u062a \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u0628\u0647 \u06af\u0648\u0646\u0647 \u0627\u06cc \u06a9\u0647 \u0647\u06cc\u0686 \u06a9\u0648\u062f\u06a9\u06cc \u0628\u06cc\u0634 \u0627\u0632 3 \u0622\u0628 \u0646\u0628\u0627\u062a \u0646\u0645\u06cc \u06a9\u0646\u062f: (0 \u060c 0 \u060c 3) \u060c (0 \u060c 1 \u060c 2) \u060c (0 \u060c 2 \u060c 1) \u060c (1 \u060c 0 \u060c 2) \u060c (1 \u060c 1 \u060c 1 \u060c 1) \u060c (1 \u060c 2 \u060c 0) \u060c (2 \u060c 0 \u060c 1) \u060c (2 \u060c 1 \u060c 0)) \u0648 (3 \u060c 0).<\/li>\n<\/ul>\n<p><strong>\u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627:<\/strong><\/p>\n<ul>\n<li><code>1 &lt;= n &lt;= 10<sup>6<\/sup><\/code><\/li>\n<li><code>1 &lt;= limit &lt;= 10<sup>6<\/sup><\/code><\/li>\n<\/ul>\n<p><strong>\u0646\u06a9\u062a\u0647:<\/strong><\/p>\n<ol>\n<li>\u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u062a\u0639\u062f\u0627\u062f \u0622\u0628 \u0646\u0628\u0627\u062a \u0647\u0627\u06cc \u06cc\u06a9 \u06a9\u0648\u062f\u06a9 \u062e\u0627\u0635 \u0631\u0627 \u0630\u06a9\u0631 \u06a9\u0646\u06cc\u0645 \u060c \u0628\u06af\u0630\u0627\u0631\u06cc\u062f <code>i<\/code> \u06a9\u0647 <code>0 &lt;= i &lt;= min(limit, n)<\/code>\u0628\u0634\u0631<\/li>\n<li>\u0641\u0631\u0636 \u06a9\u0646\u06cc\u062f \u06a9\u0648\u062f\u06a9 2 \u0645\u06cc \u0634\u0648\u062f <code>j<\/code> \u0622\u0628 \u0646\u0628\u0627\u062a \u067e\u0633 <code>0 &lt;= j &lt;= limit<\/code> \u0648\u062a <code>i + j &lt;= n<\/code>\u0628\u0634\u0631<\/li>\n<li>\u0627\u0632 \u0627\u06cc\u0646 \u0631\u0648 \u06a9\u0648\u062f\u06a9 \u0633\u0648\u0645 \u0645\u06cc \u0634\u0648\u062f <code>n - i - j<\/code> \u0622\u0628 \u0646\u0628\u0627\u062a \u0648 \u0645\u0627 \u0628\u0627\u06cc\u062f \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u0645 <code>0 &lt;= n - i - j &lt;= limit<\/code>\u0628\u0634\u0631<\/li>\n<li>\u0628\u0639\u062f \u0627\u0632 \u0628\u0631\u062e\u06cc \u062a\u062d\u0648\u0644\u0627\u062a \u060c \u0628\u0631\u0627\u06cc \u0647\u0631 \u06cc\u06a9 <code>i<\/code>\u060c \u0645\u0627 \u062f\u0627\u0631\u06cc\u0645 <code>max(0, n - i - limit) &lt;= j &lt;= min(limit, n - i)<\/code>\u060c \u060c \u0647\u0631 \u06cc\u06a9 <code>j<\/code> \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u06cc\u06a9 \u0631\u0627\u0647 \u062d\u0644. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u062a\u0639\u062f\u0627\u062f \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627 \u0628\u0631\u0627\u06cc \u0628\u0631\u062e\u06cc <code>i<\/code> \u0627\u0633\u062a \u060c <code>max(min(limit, n - i) - max(0, n - i - limit) + 1, 0)<\/code>\u0628\u0634\u0631 \u0639\u0628\u0627\u0631\u062a \u0631\u0627 \u0628\u0631\u0627\u06cc \u0647\u0631 <code>i<\/code> \u062f\u0631 <code>[0, min(n, limit)]<\/code>\u0628\u0634\u0631<\/li>\n<\/ol>\n<p><strong>\u0631\u0627\u0647 \u062d\u0644:<\/strong><\/p>\n<p>\u0645\u0627 \u0628\u0627\u06cc\u062f \u062a\u0639\u062f\u0627\u062f \u0631\u0627\u0647 \u0647\u0627\u06cc \u062a\u0648\u0632\u06cc\u0639 \u0631\u0627 \u062a\u0639\u06cc\u06cc\u0646 \u06a9\u0646\u06cc\u0645 <code>n<\/code> \u0622\u0628 \u0646\u0628\u0627\u062a \u062f\u0631 \u0628\u06cc\u0646 3 \u06a9\u0648\u062f\u06a9 \u0628\u0647 \u06af\u0648\u0646\u0647 \u0627\u06cc \u06a9\u0647 \u0647\u06cc\u0686 \u06a9\u0648\u062f\u06a9\u06cc \u0628\u06cc\u0634 \u0627\u0632 \u0622\u0646 \u0631\u0627 \u062f\u0631\u06cc\u0627\u0641\u062a \u0646\u0645\u06cc \u06a9\u0646\u062f <code>limit<\/code> \u0622\u0628 \u0646\u0628\u0627\u062a \u0631\u0627\u0647 \u062d\u0644 \u0634\u0627\u0645\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u062a\u0631\u06a9\u06cc\u0628\u06cc \u0648 \u0627\u0635\u0644 \u06af\u0646\u062c\u0627\u0646\u062f\u0646-\u0645\u062d\u0627\u0635\u0631\u0647 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0627\u0631\u0622\u0645\u062f \u0646\u062a\u06cc\u062c\u0647 \u0628\u062f\u0648\u0646 \u062a\u06a9\u0631\u0627\u0631 \u062f\u0631 \u062a\u0645\u0627\u0645 \u062a\u0648\u0632\u06cc\u0639 \u0647\u0627\u06cc \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_81 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\" style=\"cursor:inherit\">\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=\"Toggle Table of Content\"><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-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/nabfollower.com\/blog\/2929-distribute-candies-among-children-ii-3f3k\/#%D8%B1%D9%88%DB%8C%DA%A9%D8%B1%D8%AF\" >\u0631\u0648\u06cc\u06a9\u0631\u062f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/nabfollower.com\/blog\/2929-distribute-candies-among-children-ii-3f3k\/#%D8%AA%D9%88%D8%B6%DB%8C%D8%AD\" >\u062a\u0648\u0636\u06cc\u062d:<\/a><\/li><\/ul><\/nav><\/div>\n<h3><span class=\"ez-toc-section\" id=\"%D8%B1%D9%88%DB%8C%DA%A9%D8%B1%D8%AF\"><\/span>\n<p>  \u0631\u0648\u06cc\u06a9\u0631\u062f<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li>\n<p><strong>\u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0645\u0633\u0626\u0644\u0647<\/strong>: \u0645\u0634\u06a9\u0644 \u0646\u06cc\u0627\u0632 \u0628\u0647 \u0634\u0645\u0627\u0631\u0634 \u062a\u0639\u062f\u0627\u062f \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u063a\u06cc\u0631 \u0645\u0646\u0641\u06cc \u0628\u0647 \u0645\u0639\u0627\u062f\u0644\u0647 \u062f\u0627\u0631\u062f <em><strong>x<sub>1<\/sub> + x<sub>2<\/sub> + x<sub>3<\/sub> = N<\/strong><\/em>  \u06a9\u062c\u0627 <em><strong>0 \u2264 x<sub>\u0645\u0646<\/sub> \u2264 \u062d\u062f<\/strong><\/em>  \u0628\u0631\u0627\u06cc \u0647\u0631 \u06cc\u06a9 <em><strong>\u0645\u0646<\/strong><\/em>\u0628\u0634\u0631<\/p>\n<\/li>\n<li>\n<p><strong>\u0628\u06cc\u0646\u0634 \u062a\u0631\u06a9\u06cc\u0628\u06cc<\/strong>: \u062a\u0639\u062f\u0627\u062f \u06a9\u0644 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u063a\u06cc\u0631 \u0645\u0646\u0641\u06cc \u0628\u0631\u0627\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0628\u062f\u0648\u0646 \u0647\u06cc\u0686 \u06af\u0648\u0646\u0647 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a\u06cc \u062a\u0648\u0633\u0637 \u0641\u0631\u0645\u0648\u0644 \u0633\u062a\u0627\u0631\u06af\u0627\u0646 \u0648 \u0645\u06cc\u0644\u0647 \u0647\u0627 \u0627\u0631\u0627\u0626\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a \u060c \u06a9\u0647 <em><strong>(n + 2)\/2<\/strong><\/em>\u0628\u0634\u0631 \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644 \u060c \u0645\u0627 \u0628\u0627\u06cc\u062f \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc\u06cc \u0631\u0627 \u06a9\u0647 \u0628\u0627\u0639\u062b \u0646\u0642\u0636 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0645\u06cc \u0634\u0648\u062f \u060c \u06a9\u0645 \u06a9\u0646\u06cc\u0645 <em><strong>x<sub>\u0645\u0646<\/sub> \u2264 \u062d\u062f<\/strong><\/em>\u0628\u0634\u0631<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0635\u0644 \u0634\u0645\u0648\u0644<\/strong>: \u0628\u0631\u0627\u06cc \u067e\u0627\u0633\u062e\u06af\u0648\u06cc\u06cc \u0628\u0647 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627 \u060c \u0645\u0627 \u0627\u0632 \u0627\u0635\u0644 \u0648\u0631\u0648\u062f-\u0645\u062d\u0627\u0635\u0631\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645:<\/p>\n<ul>\n<li>\n<strong>\u06a9\u0644 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627<\/strong>: \u062a\u0645\u0627\u0645 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0645\u0645\u06a9\u0646 \u0631\u0627 \u0628\u062f\u0648\u0646 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f.<\/li>\n<li>\n<strong>\u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0646\u0627\u0645\u0639\u062a\u0628\u0631 \u0631\u0627 \u06a9\u0645 \u06a9\u0646\u06cc\u062f<\/strong>: \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u062a\u0641\u0631\u06cc\u0642 \u06a9\u0647 \u062d\u062f\u0627\u0642\u0644 \u06cc\u06a9 \u06a9\u0648\u062f\u06a9 \u0627\u0632 \u062d\u062f \u0645\u062c\u0627\u0632 \u0641\u0631\u0627\u062a\u0631 \u0631\u0648\u062f. \u0627\u06cc\u0646 \u0634\u0627\u0645\u0644 \u0645\u0648\u0627\u0631\u062f\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062d\u062f\u0627\u0642\u0644 \u06cc\u06a9 \u06a9\u0648\u062f\u06a9 \u062f\u0627\u0631\u062f <em><strong>\u062d\u062f + 1<\/strong><\/em>  \u0622\u0628 \u0646\u0628\u0627\u062a<\/li>\n<li>\n<strong>\u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0628\u06cc\u0634 \u0627\u0632 \u062d\u062f \u0642\u0631\u0627\u0631\u062f\u0627\u062f \u0631\u0627 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f<\/strong>: \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0631\u0627 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u062f\u0648 \u06a9\u0648\u062f\u06a9 \u0627\u0632 \u062d\u062f \u0645\u062c\u0627\u0632 \u0641\u0631\u0627\u062a\u0631 \u0628\u0627\u0634\u0646\u062f (\u0627\u0632 \u0622\u0646\u062c\u0627 \u06a9\u0647 \u0627\u06cc\u0646 \u062f\u0648 \u0628\u0627\u0631 \u0627\u0632 \u0628\u06cc\u0646 \u0631\u0641\u062a\u0646\u062f).<\/li>\n<li>\n<strong>\u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0628\u06cc\u0634 \u0627\u0632 \u062d\u062f \u0627\u0636\u0627\u0641\u0647 \u0634\u062f\u0647<\/strong>: \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u06a9\u0645\u062a\u0631\u06cc \u0631\u0627 \u06a9\u0647 \u0647\u0631 \u0633\u0647 \u06a9\u0648\u062f\u06a9 \u0627\u0632 \u062d\u062f \u0645\u062c\u0627\u0632 \u0641\u0631\u0627\u062a\u0631 \u0645\u06cc \u0631\u0648\u0646\u062f (\u0627\u0632 \u0622\u0646\u062c\u0627 \u06a9\u0647 \u0627\u06cc\u0646 \u0645\u0631\u062d\u0644\u0647 \u062f\u0631 \u0645\u0631\u062d\u0644\u0647 \u0642\u0628\u0644 \u0627\u0636\u0627\u0641\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a).<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u06a9\u0627\u0631\u0627\u06cc\u06cc<\/strong>: \u0631\u0648\u06cc\u06a9\u0631\u062f \u0648\u0631\u0648\u062f \u0628\u0647 \u0645\u0637\u0627\u0644\u0639\u0647 \u0628\u0647 \u0645\u0627 \u0627\u0645\u06a9\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u062a\u0627 \u0646\u062a\u06cc\u062c\u0647 \u0631\u0627 \u062f\u0631 \u0632\u0645\u0627\u0646 \u062b\u0627\u0628\u062a \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u0645 <em><strong>o (1)<\/strong><\/em>  \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627\u06cc \u062a\u0631\u06a9\u06cc\u0628\u06cc \u060c \u0622\u0646 \u0631\u0627 \u062d\u062a\u06cc \u0628\u0631\u0627\u06cc \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0632\u0631\u06af \u06a9\u0627\u0631\u0622\u0645\u062f \u0645\u06cc \u06a9\u0646\u062f <em><strong>\u062d\u0631\u0641<\/strong><\/em>  \u0648\u062a <em><strong>\u0645\u062d\u062f\u0648\u062f \u06a9\u0631\u062f\u0646<\/strong><\/em>\u0628\u0634\u0631<\/p>\n<\/li>\n<\/ol>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0627\u06cc\u0646 \u0631\u0627\u0647 \u062d\u0644 \u0631\u0627 \u062f\u0631 PHP \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u06a9\u0646\u06cc\u0645: <strong>2929. \u062a\u0648\u0632\u06cc\u0639 \u0622\u0628 \u0646\u0628\u0627\u062a \u062f\u0631 \u0628\u06cc\u0646 \u06a9\u0648\u062f\u06a9\u0627\u0646 II<\/strong><\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight php\"><code><span class=\"cp\"><?php <\/span?>\n<span class=\"cd\">\/**\n * @param Integer $n\n * @param Integer $limit\n * @return Integer\n *\/<\/span>\n<span class=\"k\">function<\/span> <span class=\"n\">distributeCandies<\/span><span class=\"p\">(<\/span><span class=\"nv\">$n<\/span><span class=\"p\">,<\/span> <span class=\"nv\">$limit<\/span><span class=\"p\">)<\/span> <span class=\"p\">{<\/span>\n    <span class=\"mf\">...<\/span>\n    <span class=\"mf\">...<\/span>\n    <span class=\"mf\">...<\/span>\n    <span class=\"cd\">\/**\n     * go to .\/solution.php\n     *\/<\/span>\n<span class=\"p\">}<\/span>\n\n<span class=\"c1\">\/\/ Test cases<\/span>\n<span class=\"k\">echo<\/span> <span class=\"nf\">distributeCandies<\/span><span class=\"p\">(<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">)<\/span> <span class=\"mf\">.<\/span> <span class=\"s2\">\"<\/span><span class=\"se\">\\n<\/span><span class=\"s2\">\"<\/span><span class=\"p\">;<\/span> <span class=\"c1\">\/\/ Output: 3<\/span>\n<span class=\"k\">echo<\/span> <span class=\"nf\">distributeCandies<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">)<\/span> <span class=\"mf\">.<\/span> <span class=\"s2\">\"<\/span><span class=\"se\">\\n<\/span><span class=\"s2\">\"<\/span><span class=\"p\">;<\/span> <span class=\"c1\">\/\/ Output: 10<\/span>\n<span class=\"cp\">?&gt;<\/span>\n<\/span><\/code><\/pre>\n<div class=\"highlight__panel js-actions-panel\">\n<div class=\"highlight__panel-action js-fullscreen-code-action\">\n    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-on\"><title>\u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f<\/title>\n    <path d=\"M16 3h6v6h-2V5h-4V3zM2 3h6v2H4v4H2V3zm18 16v-4h2v6h-6v-2h4zM4 19h4v2H2v-6h2v4z\"\/>\n<\/svg><\/p>\n<p>    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-off\"><title>\u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M18 7h4v2h-6V3h2v4zM8 9H2V7h4V3h2v6zm10 8v4h-2v-6h6v2h-4zM8 15v6H6v-4H2v-2h6z\"\/>\n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n<h3><span class=\"ez-toc-section\" id=\"%D8%AA%D9%88%D8%B6%DB%8C%D8%AD\"><\/span>\n<p>  \u062a\u0648\u0636\u06cc\u062d:<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li>\n<p><strong>\u0639\u0645\u0644\u06a9\u0631\u062f \u06cc\u0627\u0648\u0631 _<\/strong>F (x)<strong>_<\/strong>: \u0627\u06cc\u0646 \u0639\u0645\u0644\u06a9\u0631\u062f \u062a\u0639\u062f\u0627\u062f \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u063a\u06cc\u0631 \u0645\u0646\u0641\u06cc \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u06a9\u0646\u062f <em><strong>x<sub>1<\/sub> + x<sub>2<\/sub> + x<sub>3<\/sub> = x<\/strong><\/em>  \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0641\u0631\u0645\u0648\u0644 \u0633\u062a\u0627\u0631\u0647 \u0647\u0627 \u0648 \u0645\u06cc\u0644\u0647 \u0647\u0627 <em><strong>(x + 2)\/2<\/strong><\/em>\u0628\u0634\u0631 \u0627\u06af\u0631 <em><strong>x<\/strong><\/em>  \u0645\u0646\u0641\u06cc \u0627\u0633\u062a \u060c \u0627\u0632 \u0622\u0646\u062c\u0627 \u06a9\u0647 \u0647\u06cc\u0686 \u0631\u0627\u0647 \u062d\u0644 \u0648\u062c\u0648\u062f \u0646\u062f\u0627\u0631\u062f \u060c 0 \u0631\u0627 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u06a9\u0644 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627<\/strong>: \u0627\u0635\u0637\u0644\u0627\u062d <em><strong>F (n)<\/strong><\/em>  \u062a\u0645\u0627\u0645 \u062a\u0648\u0632\u06cc\u0639 \u0647\u0627\u06cc \u0627\u062d\u062a\u0645\u0627\u0644\u06cc \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u06a9\u0646\u062f <code>n<\/code> \u0622\u0628 \u0646\u0628\u0627\u062a \u0628\u062f\u0648\u0646 \u0647\u06cc\u0686 \u06af\u0648\u0646\u0647 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a\u06cc.<\/p>\n<\/li>\n<li>\n<p><strong>\u06a9\u0645\u0627\u0644 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0646\u0627\u0645\u0639\u062a\u0628\u0631<\/strong>: \u0627\u0635\u0637\u0644\u0627\u062d <em><strong>-3 xf (n &#8211; \u062d\u062f &#8211; 1)<\/strong><\/em>  \u0645\u0648\u0627\u0631\u062f\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u0645\u0648\u0627\u0631\u062f\u06cc \u06a9\u0647 \u062d\u062f\u0627\u0642\u0644 \u06cc\u06a9 \u06a9\u0648\u062f\u06a9 \u0628\u06cc\u0634\u062a\u0631 \u0627\u0632 \u0622\u0646 \u062f\u0631\u06cc\u0627\u0641\u062a \u0645\u06cc \u06a9\u0646\u062f \u062d\u0633\u0627\u0628 \u0645\u06cc \u06a9\u0646\u062f <code>limit<\/code> \u0622\u0628 \u0646\u0628\u0627\u062a \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 <em><strong>n &#8211; \u062d\u062f &#8211; 1<\/strong><\/em>  \u0622\u0628 \u0646\u0628\u0627\u062a \u0647\u0627\u06cc \u0628\u0627\u0642\u06cc\u0645\u0627\u0646\u062f\u0647 \u0631\u0627 \u0628\u0639\u062f \u0627\u0632 \u06cc\u06a9 \u06a9\u0648\u062f\u06a9 \u062a\u0646\u0638\u06cc\u0645 \u0645\u06cc \u06a9\u0646\u062f <em><strong>\u062d\u062f + 1<\/strong><\/em>  \u0622\u0628 \u0646\u0628\u0627\u062a<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0636\u0627\u0641\u0647 \u06a9\u0631\u062f\u0646 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0628\u06cc\u0634 \u0627\u0632 \u062d\u062f \u0642\u0631\u0627\u0631\u062f\u0627\u062f<\/strong>: \u0627\u0635\u0637\u0644\u0627\u062d <em><strong>+3 xf (n &#8211; 2 x \u062d\u062f &#8211; 2)<\/strong><\/em>  \u062a\u0635\u062d\u06cc\u062d \u0628\u06cc\u0634 \u0627\u0632 \u062d\u062f \u062f\u0631 \u0645\u0648\u0627\u0631\u062f\u06cc \u06a9\u0647 \u062f\u0648 \u06a9\u0648\u062f\u06a9 \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u0622\u0646\u0647\u0627 \u0627\u0632 \u062d\u062f \u0645\u062c\u0627\u0632 \u0641\u0631\u0627\u062a\u0631 \u0645\u06cc \u0631\u0648\u0646\u062f <em><strong>\u062d\u062f + 1<\/strong><\/em>  \u0622\u0628 \u0646\u0628\u0627\u062a<\/p>\n<\/li>\n<li>\n<p><strong>\u062a\u0641\u0631\u06cc\u0642 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0628\u06cc\u0634 \u0627\u0632 \u062d\u062f \u0627\u0636\u0627\u0641\u0647 \u0634\u062f\u0647<\/strong>: \u0627\u0635\u0637\u0644\u0627\u062d <em><strong>-f (n &#8211; 3 x \u062d\u062f &#8211; 3)<\/strong><\/em>  \u0628\u0631\u0627\u06cc \u0645\u0648\u0627\u0631\u062f\u06cc \u06a9\u0647 \u0647\u0631 \u0633\u0647 \u06a9\u0648\u062f\u06a9 \u0627\u0632 \u062d\u062f \u0645\u062c\u0627\u0632 \u0641\u0631\u0627\u062a\u0631 \u0645\u06cc \u0631\u0648\u0646\u062f \u060c \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u062d\u0627\u0635\u0644 \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0627\u06cc\u0646 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627 \u0634\u0645\u0627\u0631\u0634 \u0646\u0634\u062f\u0647 \u0627\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0645\u062d\u0627\u0633\u0628\u0647 \u0646\u062a\u06cc\u062c\u0647<\/strong>: \u0646\u062a\u06cc\u062c\u0647 \u0646\u0647\u0627\u06cc\u06cc \u0627\u06cc\u0646 \u0627\u0635\u0637\u0644\u0627\u062d\u0627\u062a \u0631\u0627 \u062a\u0631\u06a9\u06cc\u0628 \u0645\u06cc \u06a9\u0646\u062f \u062a\u0627 \u062a\u0639\u062f\u0627\u062f \u062a\u0648\u0632\u06cc\u0639 \u0647\u0627\u06cc \u0645\u0639\u062a\u0628\u0631 \u0631\u0627 \u0627\u0631\u0627\u0626\u0647 \u062f\u0647\u062f \u0648 \u0628\u0647 \u06cc\u06a9 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u062f\u0627\u062f\u0647 \u0634\u0648\u062f \u062a\u0627 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u062d\u0627\u0635\u0644 \u0634\u0648\u062f \u06a9\u0647 \u0646\u062a\u06cc\u062c\u0647 \u0628\u0647 \u062f\u0631\u0633\u062a\u06cc \u0642\u0627\u0644\u0628 \u0628\u0646\u062f\u06cc \u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<\/li>\n<\/ol>\n<p>\u0627\u06cc\u0646 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0628\u0647 \u0637\u0648\u0631 \u0645\u0624\u062b\u0631 \u0631\u0627\u0647 \u062d\u0644 \u0631\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u062a\u0631\u06a9\u06cc\u0628\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u06a9\u0646\u062f \u060c \u0648 \u0627\u0632 \u0646\u06cc\u0627\u0632 \u0628\u0647 \u062a\u06a9\u0631\u0627\u0631 \u0646\u06cc\u0631\u0648\u06cc \u0628\u06cc \u0631\u062d\u0645\u0627\u0646\u0647 \u0648 \u0631\u0633\u06cc\u062f\u06af\u06cc \u0628\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0632\u0631\u06af \u062f\u0631 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646 \u0628\u0647\u06cc\u0646\u0647 \u062c\u0644\u0648\u06af\u06cc\u0631\u06cc \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<p><strong>\u067e\u06cc\u0648\u0646\u062f\u0647\u0627\u06cc \u062a\u0645\u0627\u0633<\/strong><\/p>\n<p>\u0627\u06af\u0631 \u0627\u06cc\u0646 \u0633\u0631\u06cc\u0627\u0644 \u0631\u0627 \u0645\u0641\u06cc\u062f \u062f\u06cc\u062f\u06cc\u062f \u060c \u0644\u0637\u0641\u0627\u064b \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f <strong>\u0645\u062e\u0632\u0646<\/strong> \u06cc\u06a9 \u0633\u062a\u0627\u0631\u0647 \u062f\u0631 GitHub \u06cc\u0627 \u0628\u0647 \u0627\u0634\u062a\u0631\u0627\u06a9 \u06af\u0630\u0627\u0631\u06cc \u067e\u0633\u062a \u062f\u0631 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0627\u062c\u062a\u0645\u0627\u0639\u06cc \u0645\u0648\u0631\u062f \u0639\u0644\u0627\u0642\u0647 \u062e\u0648\u062f. \u062d\u0645\u0627\u06cc\u062a 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