{"id":95216,"date":"2025-01-30T06:46:41","date_gmt":"2025-01-30T03:16:41","guid":{"rendered":"https:\/\/nabfollower.com\/blog\/2493-divide-nodes-into-the-maximum-number-of-groups-2c93\/"},"modified":"2025-01-30T06:46:41","modified_gmt":"2025-01-30T03:16:41","slug":"2493-divide-nodes-into-the-maximum-number-of-groups-2c93","status":"publish","type":"post","link":"https:\/\/nabfollower.com\/blog\/2493-divide-nodes-into-the-maximum-number-of-groups-2c93\/","title":{"rendered":"2493. \u06af\u0631\u0647 \u0647\u0627 \u0631\u0627 \u0628\u0647 \u062d\u062f\u0627\u06a9\u062b\u0631 \u062a\u0639\u062f\u0627\u062f \u06af\u0631\u0648\u0647 \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0646\u06cc\u062f"},"content":{"rendered":"<div data-article-id=\"2249268\" id=\"article-body\">\n<p>2493. \u06af\u0631\u0647 \u0647\u0627 \u0631\u0627 \u0628\u0647 \u062d\u062f\u0627\u06a9\u062b\u0631 \u062a\u0639\u062f\u0627\u062f \u06af\u0631\u0648\u0647 \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0646\u06cc\u062f<\/p>\n<p><strong>\u0645\u0634\u06a9\u0644:<\/strong> \u0633\u062e\u062a<\/p>\n<p><strong>\u0645\u0628\u0627\u062d\u062b:<\/strong> <code>Breadth-First Search<\/code>\u0628\u0627 <code>Union Find<\/code>\u0628\u0627 <code>Graph<\/code><\/p>\n<p>\u0628\u0647 \u0634\u0645\u0627 \u06cc\u06a9 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u0645\u062b\u0628\u062a \u062f\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f <code>n<\/code> \u062a\u0639\u062f\u0627\u062f \u06af\u0631\u0647 \u0647\u0627 \u062f\u0631 <strong>\u0645\u062d\u0631\u06a9<\/strong> \u0646\u0645\u0648\u062f\u0627\u0631 \u06af\u0631\u0647 \u0647\u0627 \u0627\u0632 <code>1<\/code> \u0628\u0647 <code>n<\/code>\u0628\u0634\u0631<\/p>\n<p>\u0647\u0645\u0686\u0646\u06cc\u0646 \u0628\u0647 \u0634\u0645\u0627 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d 2D \u062f\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f <code>edges<\/code>\u060c \u06a9\u062c\u0627 <code>edges[i] = [a<sub>i<\/sub>, b<sub>i<\/sub>]<\/code> \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u06a9\u0647 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f <strong>\u062f\u0648 \u0637\u0631\u0641\u0647<\/strong> \u0644\u0628\u0647 \u0628\u06cc\u0646 \u06af\u0631\u0647 \u0647\u0627 <code>a<sub>i<\/sub><\/code> \u0648\u062a <code>b<sub>i<\/sub><\/code>\u0628\u0634\u0631 <strong>\u0627\u062e\u0637\u0627\u0631<\/strong> \u06a9\u0647 \u0646\u0645\u0648\u062f\u0627\u0631 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0642\u0637\u0639 \u0634\u0648\u062f.<\/p>\n<p>\u06af\u0631\u0647 \u0647\u0627\u06cc \u0646\u0645\u0648\u062f\u0627\u0631 \u0631\u0627 \u0628\u0647 <code>m<\/code> \u06af\u0631\u0648\u0647 \u0647\u0627 (<strong>1-\u0634\u0627\u062e\u0635<\/strong>) \u0628\u0647 \u06af\u0648\u0646\u0647 \u0627\u06cc \u06a9\u0647:<\/p>\n<ul>\n<li>\u0647\u0631 \u06af\u0631\u0647 \u062f\u0631 \u0646\u0645\u0648\u062f\u0627\u0631 \u062f\u0642\u06cc\u0642\u0627\u064b \u0628\u0647 \u06cc\u06a9 \u06af\u0631\u0648\u0647 \u062a\u0639\u0644\u0642 \u062f\u0627\u0631\u062f.<\/li>\n<li>\u0628\u0631\u0627\u06cc \u0647\u0631 \u062c\u0641\u062a \u06af\u0631\u0647 \u062f\u0631 \u0646\u0645\u0648\u062f\u0627\u0631 \u06a9\u0647 \u062a\u0648\u0633\u0637 \u06cc\u06a9 \u0644\u0628\u0647 \u0648\u0635\u0644 \u0634\u062f\u0647 \u0627\u0646\u062f <code>[a<sub>i<\/sub>, b<sub>i<\/sub>]<\/code>\u060c \u0627\u06af\u0631 <code>a<sub>i<\/sub><\/code> \u0645\u062a\u0639\u0644\u0642 \u0628\u0647 \u06af\u0631\u0648\u0647 \u0628\u0627 \u0641\u0647\u0631\u0633\u062a \u0627\u0633\u062a <code>x<\/code>\u0648\u062a <code>b<sub>i<\/sub><\/code> \u0645\u062a\u0639\u0644\u0642 \u0628\u0647 \u06af\u0631\u0648\u0647 \u0628\u0627 \u0641\u0647\u0631\u0633\u062a \u0627\u0633\u062a <code>y<\/code>\u060c \u067e\u0633 <code>|y - x| = 1<\/code>\u0628\u0634\u0631<\/li>\n<\/ul>\n<p>\u0628\u0627\u0632\u06af\u0634\u062a <em>\u062d\u062f\u0627\u06a9\u062b\u0631 \u062a\u0639\u062f\u0627\u062f \u06af\u0631\u0648\u0647 \u0647\u0627 (\u06cc\u0639\u0646\u06cc \u062d\u062f\u0627\u06a9\u062b\u0631 <code>m<\/code>) \u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u06af\u0631\u0647 \u0647\u0627 \u0631\u0627 \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0646\u06cc\u062f<\/em>\u0628\u0634\u0631 \u0628\u0627\u0632\u06af\u0634\u062a <em><code>-1<\/code>  \u0627\u06af\u0631 \u06af\u0631\u0648\u0647 \u0628\u0646\u062f\u06cc \u06af\u0631\u0647 \u0647\u0627 \u0628\u0627 \u0634\u0631\u0627\u06cc\u0637 \u062e\u0627\u0635 \u063a\u06cc\u0631\u0645\u0645\u06a9\u0646 \u0627\u0633\u062a<\/em>\u0628\u0634\u0631<\/p>\n<p><strong>\u0645\u062b\u0627\u0644 1:<\/strong><\/p>\n<p><\/p>\n<ul>\n<li>\n<strong>\u0648\u0631\u0648\u062f\u06cc:<\/strong> n = 6 \u060c \u0644\u0628\u0647 \u0647\u0627 = [[1,2]\u0628\u0627[1,4]\u0628\u0627[1,5]\u0628\u0627[2,6]\u0628\u0627[2,3]\u0628\u0627[4,6]]<\/li>\n<li>\n<strong>\u062e\u0631\u0648\u062c\u06cc:<\/strong> 4<\/li>\n<li>\n<strong>\u062a\u0648\u0636\u06cc\u062d:<\/strong> \u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u062f\u0631 \u062a\u0635\u0648\u06cc\u0631 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<ul>\n<li>\u06af\u0631\u0647 5 \u0631\u0627 \u0628\u0647 \u06af\u0631\u0648\u0647 \u0627\u0648\u0644 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f.<\/li>\n<li>\u06af\u0631\u0647 1 \u0631\u0627 \u0628\u0647 \u06af\u0631\u0648\u0647 \u062f\u0648\u0645 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f.<\/li>\n<li>\u06af\u0631\u0647 \u0647\u0627\u06cc 2 \u0648 4 \u0631\u0627 \u0628\u0647 \u06af\u0631\u0648\u0647 \u0633\u0648\u0645 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f.<\/li>\n<li>\u06af\u0631\u0647 \u0647\u0627\u06cc 3 \u0648 6 \u0631\u0627 \u0628\u0647 \u06af\u0631\u0648\u0647 \u0686\u0647\u0627\u0631\u0645 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f.<\/li>\n<li>\u0645\u06cc \u0628\u06cc\u0646\u06cc\u0645 \u06a9\u0647 \u0647\u0631 \u0644\u0628\u0647 \u0631\u0627\u0636\u06cc \u0627\u0633\u062a.<\/li>\n<li>\u0645\u06cc \u062a\u0648\u0627\u0646 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f \u06a9\u0647 \u0627\u06af\u0631 \u06cc\u06a9 \u06af\u0631\u0648\u0647 \u067e\u0646\u062c\u0645 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u0645 \u0648 \u0647\u0631 \u06af\u0631\u0647 \u0631\u0627 \u0627\u0632 \u06af\u0631\u0648\u0647 \u0633\u0648\u0645 \u06cc\u0627 \u0686\u0647\u0627\u0631\u0645 \u0628\u0647 \u0622\u0646 \u0645\u0646\u062a\u0642\u0644 \u06a9\u0646\u06cc\u0645 \u060c \u062d\u062f\u0627\u0642\u0644 \u062f\u0631 \u0644\u0628\u0647 \u0647\u0627 \u0631\u0627\u0636\u06cc \u0646\u062e\u0648\u0627\u0647\u062f \u0634\u062f.<\/li>\n<\/ul>\n<\/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 \u0644\u0628\u0647 \u0647\u0627 = [[1,2]\u0628\u0627[2,3]\u0628\u0627[3,1]]<\/li>\n<li>\n<strong>\u062e\u0631\u0648\u062c\u06cc:<\/strong> -1<\/li>\n<li>\n<strong>\u062a\u0648\u0636\u06cc\u062d:<\/strong> \u0627\u06af\u0631 \u06af\u0631\u0647 1 \u0631\u0627 \u0628\u0647 \u06af\u0631\u0648\u0647 \u0627\u0648\u0644 \u060c \u06af\u0631\u0647 2 \u0628\u0647 \u06af\u0631\u0648\u0647 \u062f\u0648\u0645 \u0648 \u06af\u0631\u0647 3 \u0628\u0647 \u06af\u0631\u0648\u0647 \u0633\u0648\u0645 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u0645 \u062a\u0627 \u062f\u0648 \u0644\u0628\u0647 \u0627\u0648\u0644 \u0631\u0627 \u0628\u0631\u0622\u0648\u0631\u062f\u0647 \u06a9\u0646\u06cc\u0645 \u060c \u0645\u06cc \u0628\u06cc\u0646\u06cc\u0645 \u06a9\u0647 \u0644\u0628\u0647 \u0633\u0648\u0645 \u0631\u0627\u0636\u06cc \u0646\u062e\u0648\u0627\u0647\u062f \u0634\u062f.<\/p>\n<ul>\n<li>\u0645\u06cc \u062a\u0648\u0627\u0646 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f \u06a9\u0647 \u0647\u06cc\u0686 \u06af\u0631\u0648\u0647 \u0628\u0646\u062f\u06cc \u0627\u0645\u06a9\u0627\u0646 \u067e\u0630\u06cc\u0631 \u0646\u06cc\u0633\u062a.<\/li>\n<\/ul>\n<\/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;= 500<\/code><\/li>\n<li><code>1 &lt;= edges.length &lt;= 10<sup>4<\/sup><\/code><\/li>\n<li><code>edges[i].length == 2<\/code><\/li>\n<li><code>1 &lt;= a<sub>i<\/sub>, b<sub>i<\/sub> &lt;= n<\/code><\/li>\n<li><code>a<sub>i<\/sub> != b<sub>i<\/sub><\/code><\/li>\n<li>\u062d\u062f\u0627\u06a9\u062b\u0631 \u06cc\u06a9 \u0644\u0628\u0647 \u0628\u06cc\u0646 \u0647\u0631 \u062c\u0641\u062a \u0631\u0626\u0648\u0633 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.<\/li>\n<\/ul>\n<p><strong>\u0646\u06a9\u062a\u0647:<\/strong><\/p>\n<ol>\n<li>\u0627\u06af\u0631 \u0646\u0645\u0648\u062f\u0627\u0631 \u062f\u0648 \u0637\u0631\u0641\u0647 \u0646\u0628\u0627\u0634\u062f \u060c \u06af\u0631\u0648\u0647 \u0628\u0646\u062f\u06cc \u06af\u0631\u0647 \u0647\u0627 \u0627\u0645\u06a9\u0627\u0646 \u067e\u0630\u06cc\u0631 \u0646\u06cc\u0633\u062a.<\/li>\n<li>\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0645\u0634\u06a9\u0644 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u0645\u0624\u0644\u0641\u0647 \u0647\u0627\u06cc \u0645\u062a\u0635\u0644 \u0628\u0647 \u0637\u0648\u0631 \u0645\u0633\u062a\u0642\u0644 \u062d\u0644 \u06a9\u0646\u06cc\u0645 \u0648 \u067e\u0627\u0633\u062e \u0646\u0647\u0627\u06cc\u06cc \u0641\u0642\u0637 \u0645\u062c\u0645\u0648\u0639 \u062d\u062f\u0627\u06a9\u062b\u0631 \u062a\u0639\u062f\u0627\u062f \u06af\u0631\u0648\u0647 \u062f\u0631 \u0647\u0631 \u0645\u0624\u0644\u0641\u0647 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.<\/li>\n<li>\u0633\u0631\u0627\u0646\u062c\u0627\u0645 \u060c \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0634\u06a9\u0644 \u0628\u0631\u0627\u06cc \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u0645\u0624\u0644\u0641\u0647 \u0647\u0627\u06cc \u0645\u062a\u0635\u0644 \u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0645\u062a\u0648\u062c\u0647 \u0634\u0648\u06cc\u0645 \u06a9\u0647 \u0627\u06af\u0631 \u0628\u0631\u0627\u06cc \u0628\u0631\u062e\u06cc \u0627\u0632 \u06af\u0631\u0647 \u0647\u0627\u06cc V \u0645\u0648\u0642\u0639\u06cc\u062a \u062e\u0648\u062f \u0631\u0627 \u062f\u0631 \u0633\u0645\u062a \u0686\u067e \u062a\u0631\u06cc\u0646 \u06af\u0631\u0648\u0647 \u0642\u0631\u0627\u0631 \u062f\u0647\u06cc\u0645 \u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0645\u0648\u0642\u0639\u06cc\u062a \u0647\u0631 \u06af\u0631\u0647 \u062f\u06cc\u06af\u0631 \u0631\u0627 \u0646\u06cc\u0632 \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u06a9\u0646\u06cc\u0645. \u0627\u06cc\u0646 \u0645\u0648\u0642\u0639\u06cc\u062a \u0639\u0645\u0642 \u06af\u0631\u0647 \u062f\u0631 \u06cc\u06a9 \u062f\u0631\u062e\u062a BFS \u067e\u0633 \u0627\u0632 \u0631\u06cc\u0634\u0647 \u06a9\u0646 \u06a9\u0631\u062f\u0646 \u062f\u0631 \u06af\u0631\u0647 V \u0627\u0633\u062a.<\/li>\n<\/ol>\n<p><strong>\u0631\u0627\u0647 \u062d\u0644:<\/strong><\/p>\n<p>\u0645\u0634\u06a9\u0644 \u060c <strong>&#8220;\u06af\u0631\u0647 \u0647\u0627 \u0631\u0627 \u0628\u0647 \u062d\u062f\u0627\u06a9\u062b\u0631 \u062a\u0639\u062f\u0627\u062f \u06af\u0631\u0648\u0647 \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0646\u06cc\u062f&#8221;<\/strong>\u060c \u0634\u0627\u0645\u0644 \u062a\u0639\u06cc\u06cc\u0646 \u062d\u062f\u0627\u06a9\u062b\u0631 \u062a\u0639\u062f\u0627\u062f \u06af\u0631\u0648\u0647 \u0647\u0627\u06cc\u06cc \u0627\u0633\u062a \u06a9\u0647 \u06af\u0631\u0647 \u0647\u0627\u06cc \u06cc\u06a9 \u0646\u0645\u0648\u062f\u0627\u0631 \u063a\u06cc\u0631 \u0645\u0633\u062a\u0642\u06cc\u0645 \u062f\u0631 \u0622\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646\u0646\u062f \u062a\u0642\u0633\u06cc\u0645 \u0634\u0648\u0646\u062f \u060c \u0628\u0647 \u06af\u0648\u0646\u0647 \u0627\u06cc \u06a9\u0647:<\/p>\n<ol>\n<li>\u0647\u0631 \u06af\u0631\u0647 \u062f\u0642\u06cc\u0642\u0627\u064b \u0628\u0647 \u06cc\u06a9 \u06af\u0631\u0648\u0647 \u062a\u0639\u0644\u0642 \u062f\u0627\u0631\u062f.<\/li>\n<li>\u06af\u0631\u0647 \u0647\u0627\u06cc \u0645\u062c\u0627\u0648\u0631 \u062f\u0631 \u06af\u0631\u0648\u0647 \u0647\u0627\u06cc\u06cc \u0647\u0633\u062a\u0646\u062f \u06a9\u0647 \u0634\u0627\u062e\u0635 \u0647\u0627\u06cc \u0622\u0646\u0647\u0627 \u062f\u0642\u06cc\u0642\u0627\u064b \u0628\u0627 1 \u0645\u062a\u0641\u0627\u0648\u062a \u0627\u0633\u062a. \u0627\u06af\u0631 \u0646\u0645\u0648\u062f\u0627\u0631 \u062f\u0648 \u0637\u0631\u0641\u0647 \u0646\u0628\u0627\u0634\u062f \u060c \u06af\u0631\u0648\u0647 \u0628\u0646\u062f\u06cc \u063a\u06cc\u0631\u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0648 \u0639\u0645\u0644\u06a9\u0631\u062f \u0628\u0627\u06cc\u062f \u0628\u0631\u06af\u0631\u062f\u062f <code>-1<\/code>\u0628\u0634\u0631<\/li>\n<\/ol>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_84 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\/2493-divide-nodes-into-the-maximum-number-of-groups-2c93\/#%D9%86%DA%A9%D8%A7%D8%AA_%DA%A9%D9%84%DB%8C%D8%AF%DB%8C\" >\u0646\u06a9\u0627\u062a \u06a9\u0644\u06cc\u062f\u06cc<\/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\/2493-divide-nodes-into-the-maximum-number-of-groups-2c93\/#%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-3\" href=\"https:\/\/nabfollower.com\/blog\/2493-divide-nodes-into-the-maximum-number-of-groups-2c93\/#%D8%A8%D8%B1%D9%86%D8%A7%D9%85%D9%87_%D8%B1%DB%8C%D8%B2%DB%8C_%DA%A9%D8%B1%D8%AF%D9%86\" >\u0628\u0631\u0646\u0627\u0645\u0647 \u0631\u06cc\u0632\u06cc \u06a9\u0631\u062f\u0646<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/nabfollower.com\/blog\/2493-divide-nodes-into-the-maximum-number-of-groups-2c93\/#%D8%AA%D9%88%D8%B6%DB%8C%D8%AD\" >\u062a\u0648\u0636\u06cc\u062d:<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/nabfollower.com\/blog\/2493-divide-nodes-into-the-maximum-number-of-groups-2c93\/#1_%DA%A9%D9%84%D8%A7%D8%B3_%D8%A7%D8%AA%D8%AD%D8%A7%D8%AF%DB%8C%D9%87\" >1. \u06a9\u0644\u0627\u0633 \u0627\u062a\u062d\u0627\u062f\u06cc\u0647<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/nabfollower.com\/blog\/2493-divide-nodes-into-the-maximum-number-of-groups-2c93\/#2_BFS_%D8%A8%D8%B1%D8%A7%DB%8C_%D8%A8%D8%B1%D8%B1%D8%B3%DB%8C_%D8%AF%D9%88_%D8%B7%D8%B1%D9%81%D9%87_%D9%88_%D9%85%D8%AD%D8%A7%D8%B3%D8%A8%D9%87_%D8%B9%D9%85%D9%82\" >2. BFS \u0628\u0631\u0627\u06cc \u0628\u0631\u0631\u0633\u06cc \u062f\u0648 \u0637\u0631\u0641\u0647 \u0648 \u0645\u062d\u0627\u0633\u0628\u0647 \u0639\u0645\u0642<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/nabfollower.com\/blog\/2493-divide-nodes-into-the-maximum-number-of-groups-2c93\/#3_%D9%86%D8%AA%D8%A7%DB%8C%D8%AC_%D8%B1%D8%A7_%D8%AA%D8%B1%DA%A9%DB%8C%D8%A8_%DA%A9%D9%86%DB%8C%D8%AF\" >3. \u0646\u062a\u0627\u06cc\u062c \u0631\u0627 \u062a\u0631\u06a9\u06cc\u0628 \u06a9\u0646\u06cc\u062f<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/nabfollower.com\/blog\/2493-divide-nodes-into-the-maximum-number-of-groups-2c93\/#%D8%A8%D9%87_%D8%B9%D9%86%D9%88%D8%A7%D9%86_%D9%85%D8%AB%D8%A7%D9%84_%D9%BE%DB%8C%D8%A7%D8%AF%D9%87_%D8%B1%D9%88%DB%8C\" >\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 \u067e\u06cc\u0627\u062f\u0647 \u0631\u0648\u06cc<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/nabfollower.com\/blog\/2493-divide-nodes-into-the-maximum-number-of-groups-2c93\/#%D9%85%D8%AB%D8%A7%D9%84_1\" >\u0645\u062b\u0627\u0644 1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/nabfollower.com\/blog\/2493-divide-nodes-into-the-maximum-number-of-groups-2c93\/#%D9%85%D8%AB%D8%A7%D9%84_2\" >\u0645\u062b\u0627\u0644 2<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/nabfollower.com\/blog\/2493-divide-nodes-into-the-maximum-number-of-groups-2c93\/#%D9%BE%DB%8C%DA%86%DB%8C%D8%AF%DA%AF%DB%8C_%D8%B2%D9%85%D8%A7%D9%86%DB%8C\" >\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/nabfollower.com\/blog\/2493-divide-nodes-into-the-maximum-number-of-groups-2c93\/#%D8%AE%D8%B1%D9%88%D8%AC%DB%8C_%D8%A8%D8%B1%D8%A7%DB%8C_%D9%85%D8%AB%D8%A7%D9%84\" >\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644<\/a><\/li><\/ul><\/nav><\/div>\n<h3><span class=\"ez-toc-section\" id=\"%D9%86%DA%A9%D8%A7%D8%AA_%DA%A9%D9%84%DB%8C%D8%AF%DB%8C\"><\/span>\n<p>  <strong>\u0646\u06a9\u0627\u062a \u06a9\u0644\u06cc\u062f\u06cc<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\n<strong>\u062e\u0635\u0648\u0635\u06cc\u0627\u062a \u0646\u0645\u0648\u062f\u0627\u0631:<\/strong> \u0646\u0645\u0648\u062f\u0627\u0631 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0642\u0637\u0639 \u0634\u0648\u062f.<\/li>\n<li>\n<strong>\u0627\u0639\u062a\u0628\u0627\u0631 \u0633\u0646\u062c\u06cc:<\/strong> \u0628\u0631\u0627\u06cc \u0647\u0631 \u0645\u0624\u0644\u0641\u0647 \u0645\u062a\u0635\u0644 \u060c \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0622\u06cc\u0627 \u0627\u06cc\u0646 \u062f\u0648 \u0637\u0631\u0641\u0647 \u0627\u0633\u062a. \u0627\u06af\u0631 \u0646\u0647 \u060c \u0628\u0631\u06af\u0631\u062f\u06cc\u062f <code>-1<\/code>\u0628\u0634\u0631<\/li>\n<li>\n<strong>\u0637\u0628\u06cc\u0639\u062a \u062f\u0648 \u0637\u0631\u0641\u0647:<\/strong> \u0631\u0627\u0647 \u062d\u0644 \u0634\u0627\u0645\u0644 BFS \u0628\u0631\u0627\u06cc \u0627\u0639\u062a\u0628\u0627\u0631\u0633\u0646\u062c\u06cc \u062f\u0648 \u062d\u0632\u0628 \u0627\u0633\u062a.<\/li>\n<li>\n<strong>\u0627\u062a\u062d\u0627\u062f\u06cc\u0647-<\/strong> \u0628\u0631\u0627\u06cc \u06af\u0631\u0648\u0647 \u0628\u0646\u062f\u06cc \u0645\u0624\u0644\u0641\u0647 \u0647\u0627\u06cc \u0645\u062a\u0635\u0644 \u0628\u0647 \u0637\u0648\u0631 \u06a9\u0627\u0631\u0622\u0645\u062f \u0645\u0641\u06cc\u062f \u0627\u0633\u062a.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"%D8%B1%D9%88%DB%8C%DA%A9%D8%B1%D8%AF\"><\/span>\n<p>  <strong>\u0631\u0648\u06cc\u06a9\u0631\u062f<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li>\n<p><strong>\u067e\u06cc\u0634 \u067e\u0631\u062f\u0627\u0632\u0634:<\/strong><\/p>\n<ul>\n<li>\u0646\u0645\u0648\u062f\u0627\u0631 \u0631\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06cc\u06a9 \u0644\u06cc\u0633\u062a \u0645\u062c\u0627\u0648\u0631 \u0646\u0634\u0627\u0646 \u062f\u0647\u06cc\u062f.<\/li>\n<li>\u0628\u0631\u0627\u06cc \u0634\u0646\u0627\u0633\u0627\u06cc\u06cc \u0627\u062c\u0632\u0627\u06cc \u0645\u062a\u0635\u0644 \u0627\u0632 \u0627\u062a\u062d\u0627\u062f\u06cc\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f.<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>BFS \u0628\u0631\u0627\u06cc \u0627\u0639\u062a\u0628\u0627\u0631 \u0633\u0646\u062c\u06cc \u062f\u0648 \u0637\u0631\u0641\u0647:<\/strong><\/p>\n<ul>\n<li>\u0628\u0631\u0627\u06cc \u0647\u0631 \u0645\u0624\u0644\u0641\u0647 \u0645\u062a\u0635\u0644 \u060c \u0627\u0632 BFS \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f \u062a\u0627 \u0645\u0634\u062e\u0635 \u0634\u0648\u062f \u06a9\u0647 \u0622\u06cc\u0627 \u0627\u06cc\u0646 \u062f\u0648 \u0637\u0631\u0641\u0647 \u0627\u0633\u062a.<\/li>\n<li>\u0627\u06af\u0631 \u062f\u0648 \u0637\u0631\u0641\u0647 \u0646\u06cc\u0633\u062a \u060c \u0628\u0631\u06af\u0631\u062f\u06cc\u062f <code>-1<\/code>\u0628\u0634\u0631<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u062a\u0639\u062f\u0627\u062f \u06af\u0631\u0648\u0647 \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f:<\/strong><\/p>\n<ul>\n<li>\u0628\u0631\u0627\u06cc \u0647\u0631 \u0645\u0624\u0644\u0641\u0647 \u0645\u062a\u0635\u0644 \u060c \u0627\u0632 BFS \u0628\u0631\u0627\u06cc \u062a\u0639\u06cc\u06cc\u0646 \u062d\u062f\u0627\u06a9\u062b\u0631 \u0639\u0645\u0642 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f \u060c \u06a9\u0647 \u062d\u062f\u0627\u06a9\u062b\u0631 \u062a\u0639\u062f\u0627\u062f \u06af\u0631\u0648\u0647 \u0647\u0627 \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f.<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u062a\u0631\u06a9\u06cc\u0628 \u0646\u062a\u0627\u06cc\u062c:<\/strong><\/p>\n<ul>\n<li>\u062a\u0639\u062f\u0627\u062f \u062d\u062f\u0627\u06a9\u062b\u0631 \u062a\u0639\u062f\u0627\u062f \u06af\u0631\u0648\u0647 \u0627\u0632 \u062a\u0645\u0627\u0645 \u0627\u062c\u0632\u0627\u06cc \u062f\u0648 \u062d\u0632\u0628 \u0631\u0627 \u062c\u0645\u0639 \u06a9\u0646\u06cc\u062f.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"%D8%A8%D8%B1%D9%86%D8%A7%D9%85%D9%87_%D8%B1%DB%8C%D8%B2%DB%8C_%DA%A9%D8%B1%D8%AF%D9%86\"><\/span>\n<p>  <strong>\u0628\u0631\u0646\u0627\u0645\u0647 \u0631\u06cc\u0632\u06cc \u06a9\u0631\u062f\u0646<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li>\u0646\u0645\u0648\u062f\u0627\u0631 \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u0644\u06cc\u0633\u062a \u0645\u062c\u0627\u0648\u0631 \u0628\u0633\u0627\u0632\u06cc\u062f.<\/li>\n<li>\u0627\u0632 \u0627\u062c\u0632\u0627\u06cc \u0645\u062a\u0635\u0644 \u0628\u0647 \u06af\u0631\u0648\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f.<\/li>\n<li>\u0628\u0631\u0627\u06cc \u0647\u0631 \u06af\u0631\u0647 \u062f\u0631 \u0646\u0645\u0648\u062f\u0627\u0631:\n<ul>\n<li>\u0628\u0631\u0627\u06cc \u0628\u0631\u0631\u0633\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u0622\u06cc\u0627 \u0646\u0645\u0648\u062f\u0627\u0631 \u062f\u0648 \u0637\u0631\u0641\u0647 \u0627\u0633\u062a \u0648 \u062d\u062f\u0627\u06a9\u062b\u0631 \u0639\u0645\u0642 \u0622\u0646 \u0645\u0624\u0644\u0641\u0647 \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f \u060c \u0627\u0632 BFS \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f.<\/li>\n<\/ul>\n<\/li>\n<li>\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0646\u062a\u06cc\u062c\u0647 \u060c \u0645\u0628\u0644\u063a \u0627\u0639\u0645\u0627\u0642 \u0647\u0645\u0647 \u0645\u0624\u0644\u0641\u0647 \u0647\u0627 \u0631\u0627 \u0628\u0631\u06af\u0631\u062f\u0627\u0646\u06cc\u062f. \u0627\u06af\u0631 \u0647\u0631 \u0645\u0624\u0644\u0641\u0647 \u062f\u0648 \u0637\u0631\u0641\u0647 \u0646\u06cc\u0633\u062a \u060c \u0628\u0631\u06af\u0631\u062f\u06cc\u062f <code>-1<\/code>\u0628\u0634\u0631<\/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>2493. \u06af\u0631\u0647 \u0647\u0627 \u0631\u0627 \u0628\u0647 \u062d\u062f\u0627\u06a9\u062b\u0631 \u062a\u0639\u062f\u0627\u062f \u06af\u0631\u0648\u0647 \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0646\u06cc\u062f<\/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[][] $edges\n * @return Integer\n *\/<\/span>\n<span class=\"k\">function<\/span> <span class=\"n\">magnificentSets<\/span><span class=\"p\">(<\/span><span class=\"nv\">$n<\/span><span class=\"p\">,<\/span> <span class=\"nv\">$edges<\/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=\"cd\">\/**\n * @param $graph\n * @param $u\n * @return int\n *\/<\/span>\n<span class=\"k\">private<\/span> <span class=\"k\">function<\/span> <span class=\"n\">bfs<\/span><span class=\"p\">(<\/span><span class=\"nv\">$graph<\/span><span class=\"p\">,<\/span> <span class=\"nv\">$u<\/span><span class=\"p\">)<\/span> <span class=\"p\">{<\/span>\n    <span class=\"mf\">...<\/span>\n    <span class=\"mf\">...<\/span>\n    <span class=\"mf\">...<\/span>\n    <span class=\"cd\">\/**\n     * go to .\/solution.php\n     *\/<\/span>\n<span class=\"p\">}<\/span>\n\n<span class=\"kd\">class<\/span> <span class=\"nc\">UnionFind<\/span> <span class=\"p\">{<\/span>\n    <span class=\"cd\">\/**\n     * @var array\n     *\/<\/span>\n    <span class=\"k\">private<\/span> <span class=\"nv\">$id<\/span><span class=\"p\">;<\/span>\n    <span class=\"cd\">\/**\n     * @var array\n     *\/<\/span>\n    <span class=\"k\">private<\/span> <span class=\"nv\">$rank<\/span><span class=\"p\">;<\/span>\n\n    <span class=\"cd\">\/**\n     * @param $n\n     *\/<\/span>\n    <span class=\"k\">public<\/span> <span class=\"k\">function<\/span> <span class=\"n\">__construct<\/span><span class=\"p\">(<\/span><span class=\"nv\">$n<\/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=\"cd\">\/**\n     * @param $u\n     * @param $v\n     * @return void\n     *\/<\/span>\n    <span class=\"k\">public<\/span> <span class=\"k\">function<\/span> <span class=\"n\">unionByRank<\/span><span class=\"p\">(<\/span><span class=\"nv\">$u<\/span><span class=\"p\">,<\/span> <span class=\"nv\">$v<\/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=\"cd\">\/**\n     * @param $u\n     * @return mixed\n     *\/<\/span>\n    <span class=\"k\">public<\/span> <span class=\"k\">function<\/span> <span class=\"n\">find<\/span><span class=\"p\">(<\/span><span class=\"nv\">$u<\/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<span class=\"p\">}<\/span>\n\n\n<span class=\"c1\">\/\/ Example usage:<\/span>\n<span class=\"nv\">$n<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span><span class=\"p\">;<\/span>\n<span class=\"nv\">$edges<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"mi\">2<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"mi\">4<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"mi\">5<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">3<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">4<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/span><span class=\"p\">]];<\/span>\n<span class=\"k\">echo<\/span> <span class=\"nf\">maxGroups<\/span><span class=\"p\">(<\/span><span class=\"nv\">$n<\/span><span class=\"p\">,<\/span> <span class=\"nv\">$edges<\/span><span class=\"p\">);<\/span> <span class=\"c1\">\/\/ Output: 4<\/span>\n\n<span class=\"nv\">$n<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">3<\/span><span class=\"p\">;<\/span>\n<span class=\"nv\">$edges<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"mi\">2<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">3<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span><span class=\"mi\">1<\/span><span class=\"p\">]];<\/span>\n<span class=\"k\">echo<\/span> <span class=\"nf\">maxGroups<\/span><span class=\"p\">(<\/span><span class=\"nv\">$n<\/span><span class=\"p\">,<\/span> <span class=\"nv\">$edges<\/span><span class=\"p\">);<\/span> <span class=\"c1\">\/\/ Output: -1<\/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<h4><span class=\"ez-toc-section\" id=\"1_%DA%A9%D9%84%D8%A7%D8%B3_%D8%A7%D8%AA%D8%AD%D8%A7%D8%AF%DB%8C%D9%87\"><\/span>\n<p>  <strong>1. \u06a9\u0644\u0627\u0633 \u0627\u062a\u062d\u0627\u062f\u06cc\u0647<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u0633\u0627\u062e\u062a\u0627\u0631 \u0633\u0627\u062e\u062a\u0627\u0631 \u0627\u062a\u062d\u0627\u062f\u06cc\u0647 (Unjoint Set Set Union) \u06af\u0631\u0647 \u0647\u0627 \u0631\u0627 \u0628\u0647 \u0627\u062c\u0632\u0627\u06cc \u0645\u062a\u0635\u0644 \u062a\u0628\u062f\u06cc\u0644 \u06a9\u0631\u062f\u0647 \u0648 \u062f\u0648 \u06a9\u0627\u0631 \u0627\u0635\u0644\u06cc \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u062f\u0647\u062f:<\/p>\n<ul>\n<li>\n<strong>\u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646:<\/strong> \u0631\u06cc\u0634\u0647 \u0645\u0624\u0644\u0641\u0647 \u0645\u062a\u0635\u0644 \u06cc\u06a9 \u06af\u0631\u0647 \u0631\u0627 \u0645\u0634\u062e\u0635 \u06a9\u0646\u06cc\u062f.<\/li>\n<li>\n<strong>\u0627\u062a\u062d\u0627\u062f\u06cc\u0647:<\/strong> \u062f\u0648 \u0645\u0624\u0644\u0641\u0647 \u0645\u062a\u0635\u0644 \u0631\u0627 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0631\u062a\u0628\u0647 \u0627\u062f\u063a\u0627\u0645 \u06a9\u0646\u06cc\u062f.<\/li>\n<\/ul>\n<h4><span class=\"ez-toc-section\" id=\"2_BFS_%D8%A8%D8%B1%D8%A7%DB%8C_%D8%A8%D8%B1%D8%B1%D8%B3%DB%8C_%D8%AF%D9%88_%D8%B7%D8%B1%D9%81%D9%87_%D9%88_%D9%85%D8%AD%D8%A7%D8%B3%D8%A8%D9%87_%D8%B9%D9%85%D9%82\"><\/span>\n<p>  <strong>2. BFS \u0628\u0631\u0627\u06cc \u0628\u0631\u0631\u0633\u06cc \u062f\u0648 \u0637\u0631\u0641\u0647 \u0648 \u0645\u062d\u0627\u0633\u0628\u0647 \u0639\u0645\u0642<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ul>\n<li>\n<strong>\u0627\u0639\u062a\u0628\u0627\u0631 \u0633\u0646\u062c\u06cc \u062f\u0648 \u0637\u0631\u0641\u0647:<\/strong> \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 BFS \u060c &#8220;\u0631\u0646\u06af&#8221; \u0645\u062a\u0646\u0627\u0648\u0628 \u0631\u0627 \u0628\u0647 \u06af\u0631\u0647 \u0647\u0627 \u0627\u062e\u062a\u0635\u0627\u0635 \u062f\u0647\u06cc\u062f. \u0627\u06af\u0631 \u06af\u0631\u0647 \u0647\u0627\u06cc \u0645\u062c\u0627\u0648\u0631 \u0647\u0645\u0627\u0646 \u0631\u0646\u06af \u0631\u0627 \u0628\u0647 \u0627\u0634\u062a\u0631\u0627\u06a9 \u0628\u06af\u0630\u0627\u0631\u0646\u062f \u060c \u0646\u0645\u0648\u062f\u0627\u0631 \u062f\u0648 \u0637\u0631\u0641\u0647 \u0646\u06cc\u0633\u062a.<\/li>\n<li>\n<strong>\u0645\u062d\u0627\u0633\u0628\u0647 \u0639\u0645\u0642:<\/strong> \u0628\u0631\u0627\u06cc \u062a\u0639\u06cc\u06cc\u0646 \u062d\u062f\u0627\u06a9\u062b\u0631 \u062a\u0639\u062f\u0627\u062f \u06af\u0631\u0648\u0647 \u0647\u0627 \u060c \u0639\u0645\u0642 \u062f\u0631\u062e\u062a BFS \u0631\u0627 \u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u06cc\u0631\u06cc \u06a9\u0646\u06cc\u062f.<\/li>\n<\/ul>\n<h4><span class=\"ez-toc-section\" id=\"3_%D9%86%D8%AA%D8%A7%DB%8C%D8%AC_%D8%B1%D8%A7_%D8%AA%D8%B1%DA%A9%DB%8C%D8%A8_%DA%A9%D9%86%DB%8C%D8%AF\"><\/span>\n<p>  <strong>3. \u0646\u062a\u0627\u06cc\u062c \u0631\u0627 \u062a\u0631\u06a9\u06cc\u0628 \u06a9\u0646\u06cc\u062f<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ul>\n<li>\u062d\u062f\u0627\u06a9\u062b\u0631 \u0639\u0645\u0642 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0647\u0631 \u0645\u0624\u0644\u0641\u0647 \u0645\u062a\u0635\u0644 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f.<\/li>\n<li>\u0628\u0631\u0627\u06cc \u062a\u0639\u06cc\u06cc\u0646 \u0646\u062a\u06cc\u062c\u0647 \u060c \u0639\u0645\u0642 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0647\u0645\u0647 \u0645\u0624\u0644\u0641\u0647 \u0647\u0627 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"%D8%A8%D9%87_%D8%B9%D9%86%D9%88%D8%A7%D9%86_%D9%85%D8%AB%D8%A7%D9%84_%D9%BE%DB%8C%D8%A7%D8%AF%D9%87_%D8%B1%D9%88%DB%8C\"><\/span>\n<p>  <strong>\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 \u067e\u06cc\u0627\u062f\u0647 \u0631\u0648\u06cc<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h4><span class=\"ez-toc-section\" id=\"%D9%85%D8%AB%D8%A7%D9%84_1\"><\/span>\n<p>  <strong>\u0645\u062b\u0627\u0644 1<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u0648\u0631\u0648\u062f\u06cc:<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight php\"><code><span class=\"nv\">$n<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span><span class=\"p\">;<\/span>  \n<span class=\"nv\">$edges<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"mi\">2<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"mi\">4<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"mi\">5<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">3<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">4<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/span><span class=\"p\">]];<\/span>\n<\/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<p>\u0645\u0631\u0627\u062d\u0644:<\/p>\n<ol>\n<li>\u0633\u0627\u062e\u062a \u0644\u06cc\u0633\u062a \u0645\u062c\u0627\u0648\u0631\u062a:\n<\/li>\n<\/ol>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight plaintext\"><code>   1 -&gt; [2, 4, 5]\n   2 -&gt; [1, 3, 6]\n   3 -&gt; [2]\n   4 -&gt; [1, 6]\n   5 -&gt; [1]\n   6 -&gt; [2, 4]\n<\/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<ol>\n<li>\u0627\u0632 BFS \u0631\u0648\u06cc \u0627\u062c\u0632\u0627\u06cc \u0645\u062a\u0635\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f:\n<ul>\n<li>\u0645\u0624\u0644\u0641\u0647 1: \u062f\u0648 \u0637\u0631\u0641\u0647. \u062d\u062f\u0627\u06a9\u062b\u0631 \u0639\u0645\u0642 = 4.<\/li>\n<\/ul>\n<\/li>\n<li>\u0639\u0645\u0642 \u062c\u0645\u0639 \u062f\u0631 \u062a\u0645\u0627\u0645 \u0645\u0624\u0644\u0641\u0647 \u0647\u0627: <code>4<\/code>\u0628\u0634\u0631<\/li>\n<\/ol>\n<p>\u062e\u0631\u0648\u062c\u06cc: <code>4<\/code><\/p>\n<h4><span class=\"ez-toc-section\" id=\"%D9%85%D8%AB%D8%A7%D9%84_2\"><\/span>\n<p>  <strong>\u0645\u062b\u0627\u0644 2<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u0648\u0631\u0648\u062f\u06cc:<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight php\"><code><span class=\"nv\">$n<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">3<\/span><span class=\"p\">;<\/span>  \n<span class=\"nv\">$edges<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"mi\">2<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">3<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span><span class=\"mi\">1<\/span><span class=\"p\">]];<\/span>\n<\/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<p>\u0645\u0631\u0627\u062d\u0644:<\/p>\n<ol>\n<li>\u0633\u0627\u062e\u062a \u0644\u06cc\u0633\u062a \u0645\u062c\u0627\u0648\u0631\u062a:\n<\/li>\n<\/ol>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight plaintext\"><code>   1 -&gt; [2, 3]\n   2 -&gt; [1, 3]\n   3 -&gt; [1, 2]\n<\/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<ol>\n<li>\u0627\u0632 BFS \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f:\n<ul>\n<li>\u0645\u0624\u0644\u0641\u0647 1: \u062f\u0648 \u0637\u0631\u0641\u0647 \u0646\u06cc\u0633\u062a.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p>\u062e\u0631\u0648\u062c\u06cc: <code>-1<\/code><\/p>\n<h3><span class=\"ez-toc-section\" id=\"%D9%BE%DB%8C%DA%86%DB%8C%D8%AF%DA%AF%DB%8C_%D8%B2%D9%85%D8%A7%D9%86%DB%8C\"><\/span>\n<p>  <strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\n<strong>\u0633\u0627\u062e\u062a \u0646\u0645\u0648\u062f\u0627\u0631:<\/strong> <em><strong>o (\u0647)<\/strong><\/em>\u060c \u06a9\u062c\u0627 <em><strong>\u0627\u0634\u0645\u06cc\u0647<\/strong><\/em>  \u062a\u0639\u062f\u0627\u062f \u0644\u0628\u0647 \u0647\u0627 \u0627\u0633\u062a.<\/li>\n<li>\n<strong>\u0627\u062a\u062d\u0627\u062f\u06cc\u0647-<\/strong> <em><strong>o (a (n))<\/strong><\/em>\u060c \u06a9\u062c\u0627 <em><strong>\u062d\u0631\u0641<\/strong><\/em>  \u062a\u0639\u062f\u0627\u062f \u06af\u0631\u0647 \u0647\u0627 (\u062a\u0642\u0631\u06cc\u0628\u0627\u064b \u062b\u0627\u0628\u062a \u0628\u0647 \u062f\u0644\u06cc\u0644 \u0641\u0634\u0631\u062f\u0647 \u0633\u0627\u0632\u06cc \u0645\u0633\u06cc\u0631) \u0627\u0633\u062a.<\/li>\n<li>\n<strong>BFS:<\/strong> <em><strong>O (V + E)<\/strong><\/em>\u060c \u06a9\u062c\u0627 <em><strong>\u062d\u0631\u0641\u0647\u0627\u06cc<\/strong><\/em>  \u062a\u0639\u062f\u0627\u062f \u0631\u0627\u0633 \u0647\u0627 \u0627\u0633\u062a. \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u06a9\u0644\u06cc: <em><strong>o (n + e)<\/strong><\/em>\n<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"%D8%AE%D8%B1%D9%88%D8%AC%DB%8C_%D8%A8%D8%B1%D8%A7%DB%8C_%D9%85%D8%AB%D8%A7%D9%84\"><\/span>\n<p>  <strong>\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight php\"><code><span class=\"nv\">$n<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span><span class=\"p\">;<\/span>\n<span class=\"nv\">$edges<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"mi\">2<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"mi\">4<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"mi\">5<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">3<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">4<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/span><span class=\"p\">]];<\/span>\n<span class=\"k\">echo<\/span> <span class=\"nf\">magnificentSets<\/span><span class=\"p\">(<\/span><span class=\"nv\">$n<\/span><span class=\"p\">,<\/span> <span class=\"nv\">$edges<\/span><span class=\"p\">);<\/span> <span class=\"c1\">\/\/ Output: 4<\/span>\n\n<span class=\"nv\">$n<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">3<\/span><span class=\"p\">;<\/span>\n<span class=\"nv\">$edges<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"mi\">2<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">3<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span><span class=\"mi\">1<\/span><span class=\"p\">]];<\/span>\n<span class=\"k\">echo<\/span> <span class=\"nf\">magnificentSets<\/span><span class=\"p\">(<\/span><span class=\"nv\">$n<\/span><span class=\"p\">,<\/span> <span class=\"nv\">$edges<\/span><span class=\"p\">);<\/span> <span class=\"c1\">\/\/ Output: -1<\/span>\n<\/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<p>\u0627\u06cc\u0646 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 BFS \u0628\u0631\u0627\u06cc \u0628\u0631\u0631\u0633\u06cc \u0647\u0627\u06cc \u062f\u0648 \u0637\u0631\u0641\u0647 \u0648 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0639\u0645\u0642 \u062f\u0631 \u0647\u0646\u06af\u0627\u0645 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u062a\u062d\u0627\u062f\u06cc\u0647 \u0628\u0631\u0627\u06cc \u0633\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0645\u062f\u06cc\u0631\u06cc\u062a \u0645\u0624\u0644\u0641\u0647 \u060c \u0645\u0634\u06a9\u0644 \u06af\u0631\u0648\u0647 \u0628\u0646\u062f\u06cc \u0631\u0627 \u0628\u0647 \u06a9\u0627\u0631 \u0645\u06cc \u0628\u0631\u062f. \u0645\u062d\u0644\u0648\u0644 \u0647\u0631 \u062f\u0648 \u0646\u0645\u0648\u062f\u0627\u0631 \u0645\u062a\u0635\u0644 \u0648 \u062c\u062f\u0627 \u0634\u062f\u0647 \u0631\u0627 \u06a9\u0646\u062a\u0631\u0644 \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 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