{"id":475961,"date":"2023-08-09T07:24:43","date_gmt":"2023-08-09T07:24:43","guid":{"rendered":""},"modified":"2023-09-05T11:11:42","modified_gmt":"2023-09-05T11:11:42","slug":"backtracking","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/ir\/wiki\/backtracking\/","title":{"rendered":"\u0639\u0642\u0628 \u0646\u0634\u06cc\u0646\u06cc"},"content":{"rendered":"<p>Backtracking \u06cc\u06a9 \u062a\u06a9\u0646\u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u0642\u062f\u0631\u062a\u0645\u0646\u062f \u0627\u0633\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0648\u062b\u0631 \u0645\u0633\u0627\u0626\u0644 \u062a\u0631\u06a9\u06cc\u0628\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f. \u0627\u06cc\u0646 \u06cc\u06a9 \u0631\u0627\u0647 \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9 \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0631\u0627\u0647 \u062d\u0644 \u0628\u0627 \u06a9\u0627\u0648\u0634 \u062f\u0631 \u062a\u0645\u0627\u0645 \u0645\u0633\u06cc\u0631\u0647\u0627\u06cc \u0645\u0645\u06a9\u0646 \u0648 \u0639\u0642\u0628 \u0646\u0634\u06cc\u0646\u06cc \u062f\u0631 \u0647\u0631 \u0632\u0645\u0627\u0646 \u06a9\u0647 \u0628\u0647 \u0628\u0646 \u0628\u0633\u062a \u0645\u0648\u0627\u062c\u0647 \u0634\u062f \u0627\u0633\u062a. \u0627\u06cc\u0646 \u062a\u06a9\u0646\u06cc\u06a9 \u0628\u0647 \u0648\u06cc\u0698\u0647 \u0628\u0631\u0627\u06cc \u0645\u0634\u06a9\u0644\u0627\u062a\u06cc \u06a9\u0647 \u062f\u0627\u0631\u0627\u06cc \u0641\u0636\u0627\u06cc \u062c\u0633\u062a\u062c\u0648\u06cc \u0628\u0632\u0631\u06af \u0628\u0627 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0628\u0627\u0644\u0642\u0648\u0647 \u0645\u062a\u0639\u062f\u062f \u0647\u0633\u062a\u0646\u062f \u0645\u0641\u06cc\u062f \u0627\u0633\u062a.<\/p>\n<h2>\u062a\u0627\u0631\u06cc\u062e\u0686\u0647 \u067e\u06cc\u062f\u0627\u06cc\u0634 Backtracking \u0648 \u0627\u0648\u0644\u06cc\u0646 \u0630\u06a9\u0631 \u0622\u0646<\/h2>\n<p>\u0645\u0641\u0647\u0648\u0645 \u0639\u0642\u0628\u06af\u0631\u062f \u0628\u0647 \u0627\u0648\u0627\u06cc\u0644 \u062f\u0647\u0647 1970 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u062f\u060c \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u062f\u0627\u0646\u0634\u0645\u0646\u062f\u0627\u0646 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631 \u0648 \u0631\u06cc\u0627\u0636\u06cc\u062f\u0627\u0646\u0627\u0646 \u062f\u0631 \u062d\u0627\u0644 \u0628\u0631\u0631\u0633\u06cc \u0631\u0648\u06cc\u06a9\u0631\u062f\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0628\u0648\u062f\u0646\u062f. \u0627\u0648\u0644\u06cc\u0646 \u0627\u0634\u0627\u0631\u0647 \u0628\u0647 \u0639\u0642\u0628 \u0646\u0634\u06cc\u0646\u06cc \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u062f\u0631 \u0627\u062b\u0631 \u0645\u0647\u0645 \u062f\u0648\u0646\u0627\u0644\u062f \u06a9\u0646\u0648\u062a &quot;\u0647\u0646\u0631 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631\u06cc&quot; \u06a9\u0647 \u062f\u0631 \u0633\u0627\u0644 1968 \u0645\u0646\u062a\u0634\u0631 \u0634\u062f \u062f\u0646\u0628\u0627\u0644 \u06a9\u0631\u062f. \u062f\u0631 \u062c\u0644\u062f 1 \u0627\u0632 \u0633\u0631\u06cc \u06a9\u062a\u0627\u0628 \u0647\u0627\u06cc \u062e\u0648\u062f\u060c \u06a9\u0646\u0648\u062a \u0627\u06cc\u062f\u0647 &quot;\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 X&quot; \u0631\u0627 \u0645\u0639\u0631\u0641\u06cc \u06a9\u0631\u062f\u060c \u06a9\u0647 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u067e\u0627\u06cc\u0647 \u0627\u06cc \u0628\u0631\u0627\u06cc \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0627\u0641\u0631\u0627\u062f \u0639\u0645\u0644 \u06a9\u0631\u062f. \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u0639\u0642\u0628\u06af\u0631\u062f<\/p>\n<h2>\u0627\u0637\u0644\u0627\u0639\u0627\u062a \u062f\u0642\u06cc\u0642 \u062f\u0631 \u0645\u0648\u0631\u062f Backtracking. \u06af\u0633\u062a\u0631\u0634 \u0645\u0628\u062d\u062b Backtracking.<\/h2>\n<p>\u0628\u0627\u0632\u06af\u0634\u062a \u0628\u0647 \u0639\u0642\u0628 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0627\u06cc\u062f\u0647 \u0627\u06cc\u062c\u0627\u062f \u062a\u062f\u0631\u06cc\u062c\u06cc \u06cc\u06a9 \u0631\u0627\u0647 \u062d\u0644 \u0648 \u06a9\u0646\u0627\u0631 \u06af\u0630\u0627\u0634\u062a\u0646 \u0622\u0646 \u062f\u0631 \u0635\u0648\u0631\u062a \u0639\u062f\u0645 \u0631\u0639\u0627\u06cc\u062a \u0634\u0631\u0627\u06cc\u0637 \u062e\u0627\u0635 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0641\u0636\u0627\u06cc \u0631\u0627\u0647\u200c\u062d\u0644 \u0631\u0627 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u06cc\u06a9 \u0627\u0633\u062a\u0631\u0627\u062a\u0698\u06cc \u062c\u0633\u062a\u062c\u0648\u06cc \u0639\u0645\u0642\u06cc \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u0634\u0627\u062e\u0647\u200c\u0647\u0627\u06cc\u06cc \u0631\u0627 \u06a9\u0647 \u062a\u0636\u0645\u06cc\u0646 \u0645\u06cc\u200c\u0634\u0648\u062f \u0645\u0646\u062c\u0631 \u0628\u0647 \u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627\u06cc \u0646\u0627\u062f\u0631\u0633\u062a \u0645\u06cc\u200c\u0634\u0648\u0646\u062f\u060c \u0647\u0631\u0633 \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0628\u0627\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0631\u0627 \u0628\u0647 \u0645\u06cc\u0632\u0627\u0646 \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647\u06cc \u06a9\u0627\u0647\u0634 \u0645\u06cc\u200c\u062f\u0647\u062f.<\/p>\n<p>\u0628\u0631\u0627\u06cc \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0628\u06a9 \u062a\u0631\u06a9\u060c \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u06cc\u0646 \u0645\u0631\u0627\u062d\u0644 \u06a9\u0644\u06cc \u0631\u0627 \u062f\u0646\u0628\u0627\u0644 \u0645\u06cc \u06a9\u0646\u062f:<\/p>\n<ol>\n<li>\n<p><strong>\u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u06cc\u062f<\/strong>: \u062a\u0635\u0645\u06cc\u0645 \u0628\u06af\u06cc\u0631\u06cc\u062f \u0648 \u0627\u0632 \u0628\u06cc\u0646 \u06af\u0632\u06cc\u0646\u0647 \u0647\u0627\u06cc \u0645\u0648\u062c\u0648\u062f \u06af\u0632\u06cc\u0646\u0647 \u0627\u06cc \u0631\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u06cc\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u06a9\u0627\u0648\u0634 \u06a9\u0646\u06cc\u062f<\/strong>: \u0628\u0647 \u062c\u0644\u0648 \u062d\u0631\u06a9\u062a \u06a9\u0646\u06cc\u062f \u0648 \u067e\u06cc\u0627\u0645\u062f\u0647\u0627\u06cc \u06af\u0632\u06cc\u0646\u0647 \u0627\u0646\u062a\u062e\u0627\u0628 \u0634\u062f\u0647 \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0628\u0631\u0631\u0633\u06cc<\/strong>: \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0622\u06cc\u0627 \u06af\u0632\u06cc\u0646\u0647 \u0627\u0646\u062a\u062e\u0627\u0628 \u0634\u062f\u0647 \u0628\u0647 \u06cc\u06a9 \u0631\u0627\u0647 \u062d\u0644 \u0645\u0639\u062a\u0628\u0631 \u0645\u0646\u062c\u0631 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0639\u0642\u0628\u06af\u0631\u062f<\/strong>: \u0627\u06af\u0631 \u06af\u0632\u06cc\u0646\u0647 \u0627\u0646\u062a\u062e\u0627\u0628\u06cc \u0628\u0647 \u06cc\u06a9 \u0631\u0627\u0647 \u062d\u0644 \u0645\u0639\u062a\u0628\u0631 \u0645\u0646\u062c\u0631 \u0646\u0645\u06cc \u0634\u0648\u062f\u060c \u0628\u0647 \u062d\u0627\u0644\u062a \u0642\u0628\u0644\u06cc \u0628\u0631\u06af\u0631\u062f\u06cc\u062f \u0648 \u06af\u0632\u06cc\u0646\u0647 \u0647\u0627\u06cc \u062f\u06cc\u06af\u0631 \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u062f.<\/p>\n<\/li>\n<\/ol>\n<p>\u0627\u06cc\u0646 \u0631\u0648\u0646\u062f \u062a\u0627 \u0632\u0645\u0627\u0646\u06cc \u0627\u062f\u0627\u0645\u0647 \u0645\u06cc \u06cc\u0627\u0628\u062f \u06a9\u0647 \u062a\u0645\u0627\u0645 \u062a\u0631\u06a9\u06cc\u0628\u0627\u062a \u0645\u0645\u06a9\u0646 \u0628\u0631\u0631\u0633\u06cc \u0634\u0648\u062f \u06cc\u0627 \u0631\u0627\u0647 \u062d\u0644 \u0645\u0639\u062a\u0628\u0631\u06cc \u067e\u06cc\u062f\u0627 \u0634\u0648\u062f.<\/p>\n<h2>\u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0627\u062e\u0644\u06cc Backtracking. \u0646\u062d\u0648\u0647 \u0639\u0645\u0644\u06a9\u0631\u062f Backtracking<\/h2>\n<p>\u062f\u0631 \u0647\u0633\u062a\u0647\u060c Backtracking \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0627\u0632 \u067e\u0634\u062a\u0647 \u062a\u0645\u0627\u0633 \u0628\u0631\u0627\u06cc \u0645\u062f\u06cc\u0631\u06cc\u062a \u0641\u0631\u0622\u06cc\u0646\u062f \u06a9\u0627\u0648\u0634 \u0648 \u0631\u062f\u06cc\u0627\u0628\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u062f. \u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u06af\u0632\u06cc\u0646\u0647 \u0627\u06cc \u0631\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u0645\u06cc \u06a9\u0646\u062f\u060c \u06cc\u06a9 \u062a\u0645\u0627\u0633 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u0628\u0631\u0627\u06cc \u06a9\u0627\u0648\u0634 \u0628\u06cc\u0634\u062a\u0631 \u0628\u0631\u0642\u0631\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f \u0648 \u0639\u0645\u06cc\u0642 \u062a\u0631 \u062f\u0631 \u0641\u0636\u0627\u06cc \u0631\u0627\u0647 \u062d\u0644 \u0641\u0631\u0648 \u0645\u06cc \u0631\u0648\u062f. \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0627\u06af\u0631 \u0628\u0627 \u06cc\u06a9 \u0628\u0646 \u0628\u0633\u062a \u0645\u0648\u0627\u062c\u0647 \u0634\u0648\u062f (\u06cc\u0639\u0646\u06cc \u06cc\u06a9 \u062d\u0627\u0644\u062a \u0646\u0627\u0645\u0639\u062a\u0628\u0631 \u06cc\u0627 \u0634\u0631\u0627\u06cc\u0637\u06cc \u06a9\u0647 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0647\u0627\u06cc \u0645\u0634\u06a9\u0644 \u0631\u0627 \u0646\u0642\u0636 \u0645\u06cc \u06a9\u0646\u062f)\u060c \u0628\u0627 \u0628\u0627\u0632\u06af\u0634\u062a \u0628\u0647 \u0646\u0642\u0637\u0647 \u062a\u0635\u0645\u06cc\u0645 \u0642\u0628\u0644\u06cc \u0639\u0642\u0628 \u0646\u0634\u06cc\u0646\u06cc \u0645\u06cc \u06a9\u0646\u062f \u0648 \u06af\u0632\u06cc\u0646\u0647 \u0647\u0627\u06cc \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u0631\u0627 \u0627\u0645\u062a\u062d\u0627\u0646 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<p>\u0645\u0648\u0641\u0642\u06cc\u062a \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0639\u0642\u0628\u06af\u0631\u062f \u0628\u0647 \u0634\u062f\u062a \u0628\u0647 \u0645\u062f\u06cc\u0631\u06cc\u062a \u06a9\u0627\u0631\u0622\u0645\u062f \u0639\u0627\u0645\u0644 \u0627\u0646\u0634\u0639\u0627\u0628 \u0648 \u0639\u0645\u0642 \u062f\u0631\u062e\u062a \u062c\u0633\u062a\u062c\u0648 \u0628\u0633\u062a\u06af\u06cc \u062f\u0627\u0631\u062f. \u062f\u0631 \u0645\u0648\u0627\u0631\u062f\u06cc \u06a9\u0647 \u0636\u0631\u06cc\u0628 \u0627\u0646\u0634\u0639\u0627\u0628 \u0632\u06cc\u0627\u062f \u0628\u0627\u0634\u062f \u06cc\u0627 \u0639\u0645\u0642 \u062f\u0631\u062e\u062a \u062c\u0633\u062a\u062c\u0648 \u0632\u06cc\u0627\u062f \u0628\u0627\u0634\u062f\u060c \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0639\u0645\u0644\u06a9\u0631\u062f \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u06a9\u0627\u0647\u0634 \u06cc\u0627\u0628\u062f.<\/p>\n<h2>\u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u06a9\u0644\u06cc\u062f\u06cc Backtracking<\/h2>\n<p>Backtracking \u0686\u0646\u062f\u06cc\u0646 \u0648\u06cc\u0698\u06af\u06cc \u06a9\u0644\u06cc\u062f\u06cc \u0631\u0627 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u062f \u06a9\u0647 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u06cc\u06a9 \u062a\u06a9\u0646\u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u0627\u0631\u0632\u0634\u0645\u0646\u062f \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc \u06a9\u0646\u062f:<\/p>\n<ol>\n<li>\n<p><strong>\u06a9\u0627\u0645\u0644 \u0628\u0648\u062f\u0646<\/strong>: \u0628\u0627\u0632\u06af\u0634\u062a \u0628\u0647 \u0639\u0642\u0628\u060c \u06cc\u0627\u0641\u062a\u0646 \u0647\u0645\u0647 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0645\u0645\u06a9\u0646 \u0631\u0627 \u0628\u0627 \u06a9\u0627\u0648\u0634 \u06a9\u0627\u0645\u0644 \u062f\u0631 \u06a9\u0644 \u0641\u0636\u0627\u06cc \u0631\u0627\u0647 \u062d\u0644 \u062a\u0636\u0645\u06cc\u0646 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0628\u0647\u06cc\u0646\u0647 \u0628\u0648\u062f\u0646<\/strong>: \u062f\u0631 \u0645\u0633\u0627\u0626\u0644 \u0645\u0639\u06cc\u0646\u060c \u067e\u0633\u200c\u06af\u0631\u062f \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0627 \u06a9\u0627\u0648\u0634 \u062f\u0631 \u0641\u0636\u0627\u06cc \u0631\u0627\u0647\u200c\u062d\u0644 \u0628\u0647 \u0635\u0648\u0631\u062a \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9\u060c \u0631\u0627\u0647\u200c\u062d\u0644 \u0628\u0647\u06cc\u0646\u0647 \u0631\u0627 \u0634\u0646\u0627\u0633\u0627\u06cc\u06cc \u06a9\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0646\u0639\u0637\u0627\u0641 \u067e\u0630\u06cc\u0631\u06cc<\/strong>: \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0639\u0642\u0628\u06af\u0631\u062f \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0645\u062a\u0646\u0627\u0633\u0628 \u0628\u0627 \u062d\u0648\u0632\u0647 \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0645\u0634\u06a9\u0644 \u062a\u0646\u0638\u06cc\u0645 \u06a9\u0631\u062f \u0648 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u06cc\u06a9 \u062a\u06a9\u0646\u06cc\u06a9 \u0647\u0645\u0647 \u06a9\u0627\u0631\u0647 \u062a\u0628\u062f\u06cc\u0644 \u06a9\u0631\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u06a9\u0627\u0631\u0627\u06cc\u06cc \u062d\u0627\u0641\u0638\u0647<\/strong>: \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0631\u062f\u06cc\u0627\u0628\u06cc \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u062d\u0627\u0641\u0638\u0647 \u06a9\u0645\u062a\u0631\u06cc \u0645\u0635\u0631\u0641 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f \u0632\u06cc\u0631\u0627 \u0622\u0646\u0647\u0627 \u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627 \u0631\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u062a\u062f\u0631\u06cc\u062c\u06cc \u0648 \u0628\u062f\u0648\u0646 \u0630\u062e\u06cc\u0631\u0647 \u06a9\u0644 \u062f\u0631\u062e\u062a \u062c\u0633\u062a\u062c\u0648 \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0647\u0631\u0633<\/strong>: \u062a\u0648\u0627\u0646\u0627\u06cc\u06cc \u0647\u0631\u0633 \u0634\u0627\u062e\u0647\u200c\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u064b \u0645\u0646\u062c\u0631 \u0628\u0647 \u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627\u06cc \u0646\u0627\u062f\u0631\u0633\u062a \u0645\u06cc\u200c\u0634\u0648\u0646\u062f\u060c \u0628\u0647 \u0639\u0642\u0628\u06af\u0631\u062f \u0627\u062c\u0627\u0632\u0647 \u0645\u06cc\u200c\u062f\u0647\u062f \u062a\u0627 \u0628\u0647 \u0637\u0648\u0631 \u0645\u0624\u062b\u0631 \u0641\u0636\u0627\u0647\u0627\u06cc \u0645\u062d\u0644\u0648\u0644 \u0628\u0632\u0631\u06af \u0631\u0627 \u06a9\u0634\u0641 \u06a9\u0646\u062f.<\/p>\n<\/li>\n<\/ol>\n<h2>\u0627\u0646\u0648\u0627\u0639 Backtracking<\/h2>\n<p>\u062a\u06a9\u0646\u06cc\u06a9\u200c\u0647\u0627\u06cc Backtracking \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0631 \u0627\u0633\u0627\u0633 \u062d\u0648\u0632\u0647\u200c\u0647\u0627\u06cc \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u062e\u0627\u0635 \u062e\u0648\u062f \u0628\u0647 \u0627\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641\u06cc \u0637\u0628\u0642\u0647\u200c\u0628\u0646\u062f\u06cc \u06a9\u0631\u062f. \u062f\u0631 \u0632\u06cc\u0631 \u0628\u0631\u062e\u06cc \u0627\u0632 \u0627\u0646\u0648\u0627\u0639 \u0645\u062a\u062f\u0627\u0648\u0644 \u0639\u0642\u0628\u06af\u0631\u062f \u0622\u0648\u0631\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<table>\n<thead>\n<tr>\n<th>\u062a\u0627\u06cc\u067e \u06a9\u0646\u06cc\u062f<\/th>\n<th>\u0634\u0631\u062d<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>\u0628\u0627\u0632\u06af\u0634\u062a \u0628\u0627\u0632\u06af\u0634\u062a\u06cc<\/strong><\/td>\n<td>\u0631\u0648\u06cc\u06a9\u0631\u062f \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f \u0628\u0627\u0632\u06af\u0634\u062a \u0628\u0647 \u0639\u0642\u0628 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u062a\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0639\u0642\u0628\u06af\u0631\u062f \u062a\u06a9\u0631\u0627\u0631\u06cc<\/strong><\/td>\n<td>\u062a\u0646\u0648\u0639\u06cc \u06a9\u0647 \u0627\u0632 \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u062a\u06a9\u0631\u0627\u0631\u06cc\u060c \u0627\u063a\u0644\u0628 \u0628\u0627 \u067e\u0634\u062a\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0639\u0642\u0628\u06af\u0631\u062f<\/strong><\/td>\n<td>\u0628\u0631 \u0645\u0634\u06a9\u0644\u0627\u062a \u0631\u0636\u0627\u06cc\u062a \u0627\u0632 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0645\u0627\u0646\u0646\u062f \u0633\u0648\u062f\u0648\u06a9\u0648 \u062a\u0645\u0631\u06a9\u0632 \u0645\u06cc \u06a9\u0646\u062f.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0645\u0633\u06cc\u0631 \u0647\u0645\u06cc\u0644\u062a\u0648\u0646\u06cc<\/strong><\/td>\n<td>\u06cc\u0627\u0641\u062a\u0646 \u0645\u0633\u06cc\u0631\u06cc \u06a9\u0647 \u062f\u0642\u06cc\u0642\u0627\u064b \u06cc\u06a9 \u0628\u0627\u0631 \u0627\u0632 \u0647\u0631 \u0631\u0623\u0633 \u0646\u0645\u0648\u062f\u0627\u0631 \u0628\u0627\u0632\u062f\u06cc\u062f \u0645\u06cc \u06a9\u0646\u062f.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0631\u0627\u0647 \u0647\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 Backtracking\u060c \u0645\u0634\u06a9\u0644\u0627\u062a \u0648 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647.<\/h2>\n<p>Backtracking \u062f\u0631 \u062d\u0648\u0632\u0647 \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u06a9\u0627\u0631\u0628\u0631\u062f \u067e\u06cc\u062f\u0627 \u0645\u06cc \u06a9\u0646\u062f\u060c \u0627\u0632 \u062c\u0645\u0644\u0647:<\/p>\n<ol>\n<li>\n<p><strong>\u062d\u0644 \u067e\u0627\u0632\u0644<\/strong>: \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0631\u062f\u06cc\u0627\u0628\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u0646\u062f \u067e\u0627\u0632\u0644\u200c\u0647\u0627\u06cc \u06a9\u0644\u0627\u0633\u06cc\u06a9 \u0645\u0627\u0646\u0646\u062f \u0645\u0633\u0626\u0644\u0647 N-Queens\u060c \u0633\u0648\u062f\u0648\u06a9\u0648\u060c \u0648 Eight Queens \u0631\u0627 \u062d\u0644 \u06a9\u0646\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0628\u0647\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc \u062a\u0631\u06a9\u06cc\u0628\u06cc<\/strong>: \u0645\u0634\u06a9\u0644\u0627\u062a\u06cc \u0645\u0627\u0646\u0646\u062f \u0645\u0633\u0626\u0644\u0647 \u0641\u0631\u0648\u0634\u0646\u062f\u0647 \u062f\u0648\u0631\u0647 \u06af\u0631\u062f (TSP) \u0648 \u0645\u0633\u0626\u0644\u0647 \u062c\u0645\u0639 \u0632\u06cc\u0631 \u0645\u062c\u0645\u0648\u0639\u0647 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u0637\u0648\u0631 \u0645\u0648\u062b\u0631 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u067e\u0633 \u0627\u0646\u062f\u0627\u0632 \u062d\u0644 \u06a9\u0631\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0645\u0634\u06a9\u0644\u0627\u062a \u0646\u0645\u0648\u062f\u0627\u0631<\/strong>: \u0628\u0631\u0627\u06cc \u0645\u0634\u06a9\u0644\u0627\u062a \u067e\u06cc\u0645\u0627\u06cc\u0634 \u06af\u0631\u0627\u0641 \u0645\u0627\u0646\u0646\u062f \u06cc\u0627\u0641\u062a\u0646 \u0645\u0633\u06cc\u0631\u0647\u0627 \u06cc\u0627 \u0686\u0631\u062e\u0647 \u0647\u0627\u06cc \u0647\u0645\u06cc\u0644\u062a\u0648\u0646\u06cc \u0645\u06cc \u062a\u0648\u0627\u0646 \u0627\u0632 \u0628\u06a9 \u062a\u0631\u06a9 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0633\u062a\u0631\u0627\u062a\u0698\u06cc \u0647\u0627\u06cc \u0628\u0627\u0632\u06cc<\/strong>: \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0628\u0627\u0632\u06cc\u060c \u0645\u0627\u0646\u0646\u062f \u0634\u0637\u0631\u0646\u062c \u0648 \u062a\u06cc\u06a9 \u062a\u0627\u06a9\u060c \u0627\u063a\u0644\u0628 \u0627\u0632 \u0639\u0642\u0628\u200c\u0646\u0634\u06cc\u0646\u06cc \u0628\u0631\u0627\u06cc \u062c\u0633\u062a\u062c\u0648\u06cc \u0628\u0647\u062a\u0631\u06cc\u0646 \u062d\u0631\u06a9\u062a \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f.<\/p>\n<\/li>\n<\/ol>\n<p>\u0639\u0644\u06cc\u0631\u063a\u0645 \u062a\u0637\u0628\u06cc\u0642 \u067e\u0630\u06cc\u0631\u06cc\u060c \u0639\u0642\u0628 \u0646\u0634\u06cc\u0646\u06cc \u0686\u0627\u0644\u0634 \u0647\u0627\u06cc\u06cc \u062f\u0627\u0631\u062f:<\/p>\n<ul>\n<li>\n<p><strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc \u0646\u0645\u0627\u06cc\u06cc<\/strong>: \u062f\u0631 \u0628\u062f\u062a\u0631\u06cc\u0646 \u0633\u0646\u0627\u0631\u06cc\u0648\u0647\u0627\u060c \u0639\u0642\u0628\u200c\u0646\u0634\u06cc\u0646\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc \u062a\u0635\u0627\u0639\u062f\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f \u06a9\u0647 \u0622\u0646 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0628\u0631\u062e\u06cc \u0645\u0634\u06a9\u0644\u0627\u062a \u0646\u0627\u06a9\u0627\u0631\u0622\u0645\u062f \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0645\u0634\u06a9\u0644\u0627\u062a \u0647\u0631\u0633<\/strong>: \u0634\u0646\u0627\u0633\u0627\u06cc\u06cc \u0627\u0633\u062a\u0631\u0627\u062a\u0698\u06cc \u0647\u0627\u06cc \u0647\u0631\u0633 \u0645\u0648\u062b\u0631 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0686\u0627\u0644\u0634 \u0628\u0631\u0627\u0646\u06af\u06cc\u0632 \u0628\u0627\u0634\u062f \u0648 \u0628\u0631 \u0639\u0645\u0644\u06a9\u0631\u062f \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062a\u0623\u062b\u06cc\u0631 \u0628\u06af\u0630\u0627\u0631\u062f.<\/p>\n<\/li>\n<\/ul>\n<p>\u0628\u0631\u0627\u06cc \u0645\u0642\u0627\u0628\u0644\u0647 \u0628\u0627 \u0627\u06cc\u0646 \u0686\u0627\u0644\u0634\u200c\u0647\u0627\u060c \u0645\u062d\u0642\u0642\u0627\u0646 \u062a\u06a9\u0646\u06cc\u06a9\u200c\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0648 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0627\u06a9\u062a\u0634\u0627\u0641\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u0628\u0647\u0628\u0648\u062f \u06a9\u0627\u0631\u0627\u06cc\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0639\u0642\u0628\u200c\u06af\u0631\u062f \u0628\u0631\u0631\u0633\u06cc \u06a9\u0631\u062f\u0647\u200c\u0627\u0646\u062f.<\/p>\n<h2>\u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0627\u0635\u0644\u06cc \u0648 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0647\u0627\u06cc \u062f\u06cc\u06af\u0631 \u0628\u0627 \u0627\u0635\u0637\u0644\u0627\u062d\u0627\u062a \u0645\u0634\u0627\u0628\u0647<\/h2>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0627\u06cc \u0627\u0632 \u0639\u0642\u0628\u06af\u0631\u062f \u0628\u0627 \u0633\u0627\u06cc\u0631 \u062a\u06a9\u0646\u06cc\u06a9 \u0647\u0627\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f:<\/p>\n<table>\n<thead>\n<tr>\n<th>\u062a\u06a9\u0646\u06cc\u06a9<\/th>\n<th>\u0645\u0634\u062e\u0635\u0627\u062a<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>\u0639\u0642\u0628 \u0646\u0634\u06cc\u0646\u06cc<\/strong><\/td>\n<td>\u062c\u0633\u062a\u062c\u0648\u06cc \u062c\u0627\u0645\u0639\u060c \u0647\u0645\u0647 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u0645\u06cc \u06a9\u0646\u062f\u060c \u0628\u0627\u0632\u06af\u0634\u062a\u06cc.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0646\u06cc\u0631\u0648\u06cc \u0628\u06cc \u0631\u062d\u0645<\/strong><\/td>\n<td>\u062c\u0633\u062a\u062c\u0648\u06cc \u062c\u0627\u0645\u0639\u060c \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u0646\u0628\u0627\u0634\u062f.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u067e\u0648\u06cc\u0627<\/strong><\/td>\n<td>\u062d\u0641\u0638 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u060c \u0632\u06cc\u0631\u0633\u0627\u062e\u062a \u0628\u0647\u06cc\u0646\u0647.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u062a\u0641\u0631\u0642\u0647 \u0628\u06cc\u0646\u062f\u0627\u0632 \u0648 \u062d\u06a9\u0648\u0645\u062a \u06a9\u0646<\/strong><\/td>\n<td>\u0628\u0627\u0632\u06af\u0634\u062a\u06cc\u060c \u0645\u0633\u0626\u0644\u0647 \u0631\u0627 \u0628\u0647 \u0645\u0633\u0627\u0626\u0644 \u0641\u0631\u0639\u06cc \u06a9\u0648\u0686\u06a9\u062a\u0631 \u062a\u0642\u0633\u06cc\u0645 \u0645\u06cc \u06a9\u0646\u062f.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 \u0639\u0642\u0628 \u0646\u0634\u06cc\u0646\u06cc \u0648 \u0632\u0648\u0631 \u0628\u06cc \u0631\u062d\u0645\u0627\u0646\u0647 \u0647\u0631 \u062f\u0648 \u0634\u0627\u0645\u0644 \u062c\u0633\u062a\u062c\u0648\u0647\u0627\u06cc \u062c\u0627\u0645\u0639 \u0645\u06cc \u0634\u0648\u0646\u062f\u060c \u0639\u0642\u0628 \u0646\u0634\u06cc\u0646\u06cc \u0634\u0627\u0645\u0644 \u062a\u0648\u0627\u0646\u0627\u06cc\u06cc \u0639\u0642\u0628 \u0646\u0634\u06cc\u0646\u06cc \u0648 \u0631\u0647\u0627 \u06a9\u0631\u062f\u0646 \u0645\u0633\u06cc\u0631\u0647\u0627\u06cc \u0646\u0627\u0645\u0637\u0644\u0648\u0628 \u0627\u0633\u062a \u06a9\u0647 \u06a9\u0627\u0631\u0622\u0645\u062f\u062a\u0631 \u0627\u0632 \u0646\u06cc\u0631\u0648\u06cc \u0628\u06cc \u0631\u062d\u0645 \u062e\u0627\u0644\u0635 \u0627\u0633\u062a.<\/p>\n<h2>\u062f\u06cc\u062f\u06af\u0627\u0647 \u0647\u0627 \u0648 \u0641\u0646\u0627\u0648\u0631\u06cc \u0647\u0627\u06cc \u0622\u06cc\u0646\u062f\u0647 \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 Backtracking<\/h2>\n<p>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0631\u062f\u06cc\u0627\u0628\u06cc \u0647\u0645\u0686\u0646\u0627\u0646 \u0646\u0642\u0634 \u0645\u0647\u0645\u06cc \u062f\u0631 \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u062a\u0631\u06a9\u06cc\u0628\u06cc \u067e\u06cc\u0686\u06cc\u062f\u0647 \u062e\u0648\u0627\u0647\u0646\u062f \u062f\u0627\u0634\u062a. \u0628\u0627 \u067e\u06cc\u0634\u0631\u0641\u062a \u062f\u0631 \u0642\u062f\u0631\u062a \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0648 \u062a\u06a9\u0646\u06cc\u06a9\u200c\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc\u060c \u0645\u062d\u0642\u0642\u0627\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u064b \u0627\u0633\u062a\u0631\u0627\u062a\u0698\u06cc\u200c\u0647\u0627\u06cc \u0639\u0642\u0628\u06af\u0631\u062f \u06a9\u0627\u0631\u0622\u0645\u062f\u062a\u0631\u06cc \u0631\u0627 \u0637\u0631\u0627\u062d\u06cc \u062e\u0648\u0627\u0647\u0646\u062f \u06a9\u0631\u062f. \u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646\u060c \u0627\u062f\u063a\u0627\u0645 \u0647\u0648\u0634 \u0645\u0635\u0646\u0648\u0639\u06cc \u0648 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646\u06cc \u062f\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0639\u0642\u0628\u200c\u0646\u0634\u06cc\u0646\u06cc \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0645\u0646\u062c\u0631 \u0628\u0647 \u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627\u06cc \u0647\u0648\u0634\u0645\u0646\u062f\u062a\u0631 \u0648 \u0628\u0647\u06cc\u0646\u0647\u200c\u062a\u0631 \u0634\u0648\u062f.<\/p>\n<h2>\u0686\u06af\u0648\u0646\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0627\u0632 \u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u067e\u0631\u0648\u06a9\u0633\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f \u06cc\u0627 \u0628\u0627 Backtracking \u0645\u0631\u062a\u0628\u0637 \u0634\u062f<\/h2>\n<p>\u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u067e\u0631\u0627\u06a9\u0633\u06cc \u0648 \u0631\u062f\u06cc\u0627\u0628\u06cc \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u062f\u0631 \u0633\u0646\u0627\u0631\u06cc\u0648\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u0628\u0627\u06cc\u062f \u0686\u0646\u062f\u06cc\u0646 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0645\u0648\u0627\u0632\u06cc \u0627\u0646\u062c\u0627\u0645 \u0634\u0648\u062f \u06cc\u0627 \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u062f\u0627\u0645\u0646\u0647 \u0645\u0634\u06a9\u0644 \u0646\u06cc\u0627\u0632 \u0628\u0647 \u0646\u0627\u0634\u0646\u0627\u0633 \u0628\u0648\u062f\u0646 \u06cc\u0627 \u062a\u0648\u0632\u06cc\u0639 \u062c\u063a\u0631\u0627\u0641\u06cc\u0627\u06cc\u06cc \u062f\u0627\u0631\u062f\u060c \u0627\u0631\u062a\u0628\u0627\u0637 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u0646\u062f. \u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u067e\u0631\u0648\u06a9\u0633\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u0646\u062f \u062a\u0648\u0632\u06cc\u0639 \u0648\u0638\u0627\u06cc\u0641 \u067e\u0633\u200c\u06af\u0631\u062f \u0631\u0627 \u062f\u0631 \u06af\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u062a\u0633\u0647\u06cc\u0644 \u06a9\u0646\u0646\u062f\u060c \u0628\u0627\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0631\u0627 \u0628\u0631 \u0631\u0648\u06cc \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627\u06cc \u062c\u062f\u0627\u06af\u0627\u0646\u0647 \u06a9\u0627\u0647\u0634 \u062f\u0647\u0646\u062f \u0648 \u0627\u0632 \u06a9\u0627\u0648\u0634 \u06a9\u0627\u0631\u0622\u0645\u062f\u062a\u0631 \u062f\u0631 \u0641\u0636\u0627\u06cc \u0631\u0627\u0647\u200c\u062d\u0644 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u062d\u0627\u0635\u0644 \u06a9\u0646\u0646\u062f.<\/p>\n<h2>\u0644\u06cc\u0646\u06a9 \u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637\u0647<\/h2>\n<p>\u0628\u0631\u0627\u06cc \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0628\u06cc\u0634\u062a\u0631 \u062f\u0631 \u0645\u0648\u0631\u062f Backtracking \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0628\u0647 \u0645\u0646\u0627\u0628\u0639 \u0632\u06cc\u0631 \u0645\u0631\u0627\u062c\u0639\u0647 \u06a9\u0646\u06cc\u062f:<\/p>\n<ul>\n<li><a href=\"https:\/\/www-cs-faculty.stanford.edu\/~uno\/taocp.html\" target=\"_new\" rel=\"noopener nofollow\">&quot;\u0647\u0646\u0631 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631\u06cc&quot; \u0627\u062b\u0631 \u062f\u0648\u0646\u0627\u0644\u062f \u06a9\u0646\u0627\u062a<\/a><\/li>\n<li><a href=\"https:\/\/www.geeksforgeeks.org\/backtracking-algorithms\/\" target=\"_new\" rel=\"noopener nofollow\">\u062a\u0648\u0636\u06cc\u062d \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u0639\u0642\u0628\u06af\u0631\u062f<\/a><\/li>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Backtracking\" target=\"_new\" rel=\"noopener nofollow\">\u0639\u0642\u0628 \u0646\u0634\u06cc\u0646\u06cc \u062f\u0631 \u0648\u06cc\u06a9\u06cc \u067e\u062f\u06cc\u0627<\/a><\/li>\n<\/ul>","protected":false},"featured_media":0,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-475961","wiki","type-wiki","status-publish","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Backtracking: A Comprehensive Guide<\/mark>","faq_items":[{"question":"What is Backtracking?","answer":"<p>Backtracking is a powerful algorithmic technique used to efficiently solve combinatorial problems. It involves exploring all possible paths and backtracking whenever a dead end is encountered.<\/p>"},{"question":"Who introduced Backtracking and when was it first mentioned?","answer":"<p>Backtracking was introduced by Donald Knuth and was first mentioned in his book \"The Art of Computer Programming,\" published in 1968.<\/p>"},{"question":"How does Backtracking work?","answer":"<p>Backtracking is based on a recursive approach where decisions are made, consequences are explored, and validity is checked. If the chosen option leads to an invalid solution, the algorithm backtracks and explores alternative choices.<\/p>"},{"question":"What are the key features of Backtracking?","answer":"<p>The key features of Backtracking include its completeness, optimality, flexibility, memory efficiency, and the ability to prune branches leading to incorrect solutions.<\/p>"},{"question":"What types of Backtracking exist?","answer":"<p>Backtracking techniques can be classified into various types, including Recursive Backtracking, Iterative Backtracking, Constraint Backtracking, and Hamiltonian Path.<\/p>"},{"question":"In which domains is Backtracking commonly used?","answer":"<p>Backtracking finds application in puzzle solving, combinatorial optimization, graph problems, and game strategies.<\/p>"},{"question":"What challenges does Backtracking face?","answer":"<p>Backtracking may have exponential time complexity in some cases, and identifying effective pruning strategies can be challenging.<\/p>"},{"question":"How does Backtracking compare with other algorithms?","answer":"<p>Backtracking involves exhaustive search with backtracking capabilities, making it more efficient than pure brute force. It also differs from Dynamic Programming and Divide and Conquer.<\/p>"},{"question":"What can we expect for the future of Backtracking?","answer":"<p>With advancements in computing power and optimization techniques, researchers may devise more efficient backtracking strategies. Integrating AI and machine learning may lead to even more intelligent solutions.<\/p>"},{"question":"How is Backtracking associated with proxy servers?","answer":"<p>Proxy servers can be used to distribute backtracking tasks across different nodes, optimizing the exploration of the solution space.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/wiki\/475961","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/wiki\/475961\/revisions"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/media?parent=475961"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}