{"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\/ar\/wiki\/backtracking\/","title":{"rendered":"\u0627\u0644\u062a\u0631\u0627\u062c\u0639"},"content":{"rendered":"<p>\u064a\u0639\u062f \u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u062a\u0642\u0646\u064a\u0629 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0642\u0648\u064a\u0629 \u062a\u0633\u062a\u062e\u062f\u0645 \u0644\u062d\u0644 \u0627\u0644\u0645\u0634\u0643\u0644\u0627\u062a \u0627\u0644\u062a\u0648\u0627\u0641\u0642\u064a\u0629 \u0628\u0643\u0641\u0627\u0621\u0629. \u0625\u0646\u0647\u0627 \u0637\u0631\u064a\u0642\u0629 \u0645\u0646\u0647\u062c\u064a\u0629 \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u062d\u0644\u0648\u0644 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0633\u062a\u0643\u0634\u0627\u0641 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\u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0627\u062a.<\/p>\n<\/li>\n<li>\n<p><strong>\u0643\u0641\u0627\u0621\u0629 \u0627\u0644\u0630\u0627\u0643\u0631\u0629<\/strong>: \u063a\u0627\u0644\u0628\u064b\u0627 \u0645\u0627 \u062a\u0633\u062a\u0647\u0644\u0643 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u062a\u062a\u0628\u0639 \u0627\u0644\u0639\u0643\u0633\u064a \u0630\u0627\u0643\u0631\u0629 \u0623\u0642\u0644 \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646\u0647\u0627 \u062a\u0633\u062a\u0643\u0634\u0641 \u0627\u0644\u062d\u0644\u0648\u0644 \u0628\u0634\u0643\u0644 \u0645\u062a\u0632\u0627\u064a\u062f \u062f\u0648\u0646 \u062a\u062e\u0632\u064a\u0646 \u0634\u062c\u0631\u0629 \u0627\u0644\u0628\u062d\u062b \u0628\u0623\u0643\u0645\u0644\u0647\u0627.<\/p>\n<\/li>\n<li>\n<p><strong>\u062a\u0634\u0630\u064a\u0628<\/strong>: \u0627\u0644\u0642\u062f\u0631\u0629 \u0639\u0644\u0649 \u062a\u0642\u0644\u064a\u0645 \u0627\u0644\u0641\u0631\u0648\u0639 \u0627\u0644\u062a\u064a \u062a\u0624\u062f\u064a \u0625\u0644\u0649 \u062d\u0644\u0648\u0644 \u063a\u064a\u0631 \u0635\u062d\u064a\u062d\u0629 \u062a\u0633\u0645\u062d \u0628\u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u0644\u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0645\u0633\u0627\u062d\u0627\u062a \u0627\u0644\u062d\u0644\u0648\u0644 \u0627\u0644\u0643\u0628\u064a\u0631\u0629 \u0628\u0643\u0641\u0627\u0621\u0629.<\/p>\n<\/li>\n<\/ol>\n<h2>\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u062a\u0631\u0627\u062c\u0639<\/h2>\n<p>\u064a\u0645\u0643\u0646 \u062a\u0635\u0646\u064a\u0641 \u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u0625\u0644\u0649 \u0623\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641\u0629 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0645\u062c\u0627\u0644\u0627\u062a \u0627\u0644\u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0647\u0627. \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0628\u0639\u0636 \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0634\u0627\u0626\u0639\u0629 \u0645\u0646 \u0627\u0644\u062a\u0631\u0627\u062c\u0639:<\/p>\n<table>\n<thead>\n<tr>\n<th>\u064a\u0643\u062a\u0628<\/th>\n<th>\u0648\u0635\u0641<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>\u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u0627\u0644\u0639\u0648\u062f\u064a<\/strong><\/td>\n<td>\u0646\u0647\u062c \u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u0627\u0644\u0642\u064a\u0627\u0633\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0633\u062a\u062f\u0639\u0627\u0621\u0627\u062a \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0648\u062f\u064a\u0629.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u0627\u0644\u062a\u0643\u0631\u0627\u0631\u064a<\/strong><\/td>\n<td>\u062a\u0628\u0627\u064a\u0646 \u064a\u0633\u062a\u062e\u062f\u0645 \u0623\u0633\u0644\u0648\u0628\u064b\u0627 \u062a\u0643\u0631\u0627\u0631\u064a\u064b\u0627\u060c \u063a\u0627\u0644\u0628\u064b\u0627 \u0645\u0639 \u0645\u0643\u062f\u0633.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u0639\u0646 \u0627\u0644\u0642\u064a\u062f<\/strong><\/td>\n<td>\u064a\u0631\u0643\u0632 \u0639\u0644\u0649 \u0645\u0634\u0627\u0643\u0644 \u0631\u0636\u0627 \u0627\u0644\u0642\u064a\u062f \u0645\u062b\u0644 \u0633\u0648\u062f\u0648\u0643\u0648.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0645\u0633\u0627\u0631 \u0647\u0627\u0645\u064a\u0644\u062a\u0648\u0646<\/strong><\/td>\n<td>\u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u0633\u0627\u0631 \u064a\u0632\u0648\u0631 \u0643\u0644 \u0642\u0645\u0629 \u0641\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0645\u0631\u0629 \u0648\u0627\u062d\u062f\u0629 \u0628\u0627\u0644\u0636\u0628\u0637.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0637\u0631\u0642 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u0648\u0627\u0644\u0645\u0634\u0627\u0643\u0644 \u0648\u062d\u0644\u0648\u0644\u0647\u0627 \u0627\u0644\u0645\u062a\u0639\u0644\u0642\u0629 \u0628\u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645.<\/h2>\n<p>\u064a\u062c\u062f \u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u062a\u0637\u0628\u064a\u0642\u064b\u0627 \u0641\u064a \u0645\u062c\u0627\u0644\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643:<\/p>\n<ol>\n<li>\n<p><strong>\u062d\u0644 \u0627\u0644\u0627\u062d\u062c\u064a\u0629<\/strong>: \u064a\u0645\u0643\u0646 \u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u062a\u062a\u0628\u0639 \u0627\u0644\u062a\u0631\u0627\u062c\u0639\u064a \u062d\u0644 \u0627\u0644\u0623\u0644\u063a\u0627\u0632 \u0627\u0644\u0643\u0644\u0627\u0633\u064a\u0643\u064a\u0629 \u0645\u062b\u0644 \u0645\u0633\u0623\u0644\u0629 N-Queens\u060c \u0648Sudoku\u060c \u0648Eight Queens Puzzle.<\/p>\n<\/li>\n<li>\n<p><strong>\u0643\u0648\u0645\u0628\u064a\u0646\u0627\u062a\u0648\u0631\u064a\u0627\u0644 \u0627\u0644\u0623\u0645\u062b\u0644<\/strong>: \u0645\u0634\u0627\u0643\u0644 \u0645\u062b\u0644 \u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0628\u0627\u0626\u0639 \u0627\u0644\u0645\u062a\u062c\u0648\u0644 (TSP) \u0648\u0645\u0634\u0643\u0644\u0629 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0641\u0631\u0639\u064a\u0629 \u064a\u0645\u0643\u0646 \u062d\u0644\u0647\u0627 \u0628\u0643\u0641\u0627\u0621\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0631\u0627\u062c\u0639.<\/p>\n<\/li>\n<li>\n<p><strong>\u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a<\/strong>: \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u0641\u064a \u0645\u0634\u0627\u0643\u0644 \u0627\u062c\u062a\u064a\u0627\u0632 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0645\u062b\u0644 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u0633\u0627\u0631\u0627\u062a \u0623\u0648 \u062f\u0648\u0631\u0627\u062a \u0647\u0627\u0645\u0644\u062a\u0648\u0646\u064a\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0633\u062a\u0631\u0627\u062a\u064a\u062c\u064a\u0627\u062a \u0627\u0644\u0644\u0639\u0628\u0629<\/strong>: \u063a\u0627\u0644\u0628\u064b\u0627 \u0645\u0627 \u062a\u0633\u062a\u062e\u062f\u0645 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u0644\u0639\u0628\u060c \u0645\u062b\u0644 \u0627\u0644\u0634\u0637\u0631\u0646\u062c \u0648\u062a\u064a\u0643 \u062a\u0627\u0643 \u062a\u0648\u060c \u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u0644\u0644\u0628\u062d\u062b \u0639\u0646 \u0623\u0641\u0636\u0644 \u062d\u0631\u0643\u0629.<\/p>\n<\/li>\n<\/ol>\n<p>\u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u062a\u0639\u062f\u062f \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0627\u062a\u0647\u060c \u0625\u0644\u0627 \u0623\u0646 \u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u064a\u0648\u0627\u062c\u0647 \u0628\u0639\u0636 \u0627\u0644\u062a\u062d\u062f\u064a\u0627\u062a:<\/p>\n<ul>\n<li>\n<p><strong>\u0627\u0644\u062a\u0639\u0642\u064a\u062f \u0627\u0644\u0632\u0645\u0646\u064a \u0627\u0644\u0623\u0633\u064a<\/strong>: \u0641\u064a \u0623\u0633\u0648\u0623 \u0627\u0644\u0633\u064a\u0646\u0627\u0631\u064a\u0648\u0647\u0627\u062a\u060c \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0644\u0644\u062a\u0631\u0627\u062c\u0639 \u062a\u0639\u0642\u064a\u062f \u0632\u0645\u0646\u064a \u0623\u0633\u064a\u060c \u0645\u0645\u0627 \u064a\u062c\u0639\u0644\u0647 \u063a\u064a\u0631 \u0641\u0639\u0627\u0644 \u0644\u0628\u0639\u0636 \u0627\u0644\u0645\u0634\u0627\u0643\u0644.<\/p>\n<\/li>\n<li>\n<p><strong>\u0635\u0639\u0648\u0628\u0627\u062a \u0627\u0644\u062a\u0642\u0644\u064a\u0645<\/strong>: \u0642\u062f \u064a\u0643\u0648\u0646 \u062a\u062d\u062f\u064a\u062f \u0625\u0633\u062a\u0631\u0627\u062a\u064a\u062c\u064a\u0627\u062a \u0627\u0644\u062a\u0642\u0644\u064a\u0645 \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0623\u0645\u0631\u064b\u0627 \u0635\u0639\u0628\u064b\u0627\u060c \u0645\u0645\u0627 \u064a\u0624\u062b\u0631 \u0639\u0644\u0649 \u0623\u062f\u0627\u0621 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629.<\/p>\n<\/li>\n<\/ul>\n<p>\u0648\u0644\u0645\u0648\u0627\u062c\u0647\u0629 \u0647\u0630\u0647 \u0627\u0644\u062a\u062d\u062f\u064a\u0627\u062a\u060c \u0627\u0633\u062a\u0643\u0634\u0641 \u0627\u0644\u0628\u0627\u062d\u062b\u0648\u0646 \u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u062a\u062d\u0633\u064a\u0646 \u0648\u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0644\u062a\u062d\u0633\u064a\u0646 \u0643\u0641\u0627\u0621\u0629 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u062a\u062a\u0628\u0639.<\/p>\n<h2>\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0648\u0645\u0642\u0627\u0631\u0646\u0627\u062a \u0623\u062e\u0631\u0649 \u0645\u0639 \u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0645\u0645\u0627\u062b\u0644\u0629<\/h2>\n<p>\u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u064a\u0646 \u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u0648\u0627\u0644\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0627\u0644\u0623\u062e\u0631\u0649:<\/p>\n<table>\n<thead>\n<tr>\n<th>\u062a\u0642\u0646\u064a\u0629<\/th>\n<th>\u0635\u0641\u0627\u062a<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>\u0627\u0644\u062a\u0631\u0627\u062c\u0639<\/strong><\/td>\n<td>\u0628\u062d\u062b \u0634\u0627\u0645\u0644\u060c \u064a\u062c\u062f \u0643\u0644 \u0627\u0644\u062d\u0644\u0648\u0644\u060c \u0627\u0644\u0639\u0648\u062f\u064a\u0629.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u063a\u0627\u0634\u0645\u0629<\/strong><\/td>\n<td>\u0628\u062d\u062b \u0634\u0627\u0645\u0644\u060c \u0642\u062f \u0644\u0627 \u064a\u0643\u0648\u0646 \u0645\u062a\u0643\u0631\u0631\u0627.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629<\/strong><\/td>\n<td>\u062d\u0641\u0638 \u0627\u0644\u062d\u0644\u0648\u0644\u060c \u0627\u0644\u0628\u0646\u064a\u0629 \u0627\u0644\u062a\u062d\u062a\u064a\u0629 \u0627\u0644\u0623\u0645\u062b\u0644.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u0641\u0631\u0642 \u062a\u0633\u062f<\/strong><\/td>\n<td>\u0627\u0644\u0639\u0648\u062f\u064a\u0629\u060c \u062a\u0642\u0633\u0645 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0625\u0644\u0649 \u0645\u0634\u0627\u0643\u0644 \u0641\u0631\u0639\u064a\u0629 \u0623\u0635\u063a\u0631.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u0641\u064a \u062d\u064a\u0646 \u0623\u0646 \u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u0648\u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u063a\u0627\u0634\u0645\u0629 \u064a\u062a\u0636\u0645\u0646\u0627\u0646 \u0639\u0645\u0644\u064a\u0627\u062a \u0628\u062d\u062b \u0634\u0627\u0645\u0644\u0629\u060c \u0641\u0625\u0646 \u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u064a\u062a\u0636\u0645\u0646 \u0627\u0644\u0642\u062f\u0631\u0629 \u0639\u0644\u0649 \u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u0648\u0627\u0644\u062a\u062e\u0644\u064a \u0639\u0646 \u0627\u0644\u0645\u0633\u0627\u0631\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0648\u0627\u0639\u062f\u0629\u060c \u0645\u0645\u0627 \u064a\u062c\u0639\u0644\u0647 \u0623\u0643\u062b\u0631 \u0643\u0641\u0627\u0621\u0629 \u0645\u0646 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u063a\u0627\u0634\u0645\u0629 \u0627\u0644\u062e\u0627\u0644\u0635\u0629.<\/p>\n<h2>\u0648\u062c\u0647\u0627\u062a \u0646\u0638\u0631 \u0648\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644 \u0627\u0644\u0645\u062a\u0639\u0644\u0642\u0629 \u0628\u0627\u0644\u062a\u0631\u0627\u062c\u0639<\/h2>\n<p>\u0633\u062a\u0633\u062a\u0645\u0631 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u062a\u062a\u0628\u0639 \u0627\u0644\u0639\u0643\u0633\u064a \u0641\u064a \u0644\u0639\u0628 \u062f\u0648\u0631 \u0645\u0647\u0645 \u0641\u064a \u062d\u0644 \u0627\u0644\u0645\u0634\u0643\u0644\u0627\u062a \u0627\u0644\u062a\u0648\u0627\u0641\u0642\u064a\u0629 \u0627\u0644\u0645\u0639\u0642\u062f\u0629. \u0648\u0645\u0639 \u0627\u0644\u062a\u0642\u062f\u0645 \u0641\u064a \u0642\u0648\u0629 \u0627\u0644\u062d\u0648\u0633\u0628\u0629 \u0648\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u062a\u062d\u0633\u064a\u0646\u060c \u0645\u0646 \u0627\u0644\u0645\u0631\u062c\u062d \u0623\u0646 \u064a\u0628\u062a\u0643\u0631 \u0627\u0644\u0628\u0627\u062d\u062b\u0648\u0646 \u0627\u0633\u062a\u0631\u0627\u062a\u064a\u062c\u064a\u0627\u062a \u062a\u0631\u0627\u062c\u0639 \u0623\u0643\u062b\u0631 \u0643\u0641\u0627\u0621\u0629. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0642\u062f \u064a\u0624\u062f\u064a \u062f\u0645\u062c \u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0648\u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u0622\u0644\u064a \u0641\u064a \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u062a\u062a\u0628\u0639 \u0627\u0644\u062a\u0631\u0627\u062c\u0639\u064a \u0625\u0644\u0649 \u062d\u0644\u0648\u0644 \u0623\u0643\u062b\u0631 \u0630\u0643\u0627\u0621\u064b \u0648\u062a\u062d\u0633\u064a\u0646\u064b\u0627.<\/p>\n<h2>\u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u0623\u0648 \u0631\u0628\u0637\u0647\u0627 \u0628\u0627\u0644\u062a\u0631\u0627\u062c\u0639<\/h2>\n<p>\u0642\u062f \u062a\u062c\u062f \u0627\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u0648\u0627\u0644\u062a\u062a\u0628\u0639 \u0627\u0644\u062e\u0644\u0641\u064a \u0623\u0647\u0645\u064a\u0629 \u0641\u064a \u0627\u0644\u0633\u064a\u0646\u0627\u0631\u064a\u0648\u0647\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0644\u0632\u0645 \u0641\u064a\u0647\u0627 \u0625\u062c\u0631\u0627\u0621 \u062d\u0633\u0627\u0628\u0627\u062a \u0645\u062a\u0648\u0627\u0632\u064a\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0623\u0648 \u0639\u0646\u062f\u0645\u0627 \u064a\u062a\u0637\u0644\u0628 \u0645\u062c\u0627\u0644 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0639\u062f\u0645 \u0627\u0644\u0643\u0634\u0641 \u0639\u0646 \u0647\u0648\u064a\u062a\u0647 \u0623\u0648 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062c\u063a\u0631\u0627\u0641\u064a. \u064a\u0645\u0643\u0646 \u0644\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u062a\u0633\u0647\u064a\u0644 \u062a\u0648\u0632\u064a\u0639 \u0645\u0647\u0627\u0645 \u0627\u0644\u062a\u062a\u0628\u0639 \u0639\u0628\u0631 \u0627\u0644\u0639\u0642\u062f \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0645\u0645\u0627 \u064a\u0642\u0644\u0644 \u0627\u0644\u0639\u0628\u0621 \u0627\u0644\u062d\u0633\u0627\u0628\u064a \u0639\u0644\u0649 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0641\u0631\u062f\u064a\u0629 \u0648\u064a\u0636\u0645\u0646 \u0627\u0633\u062a\u0643\u0634\u0627\u0641\u064b\u0627 \u0623\u0643\u062b\u0631 \u0643\u0641\u0627\u0621\u0629 \u0644\u0645\u0633\u0627\u062d\u0629 \u0627\u0644\u062d\u0644.<\/p>\n<h2>\u0631\u0648\u0627\u0628\u0637 \u0630\u0627\u062a \u0639\u0644\u0627\u0642\u0629<\/h2>\n<p>\u0644\u0645\u0632\u064a\u062f \u0645\u0646 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u062d\u0648\u0644 \u0627\u0644\u062a\u0631\u0627\u062c\u0639\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u0631\u062c\u0648\u0639 \u0625\u0644\u0649 \u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ul>\n<li><a href=\"https:\/\/www-cs-faculty.stanford.edu\/~uno\/taocp.html\" target=\"_new\" rel=\"noopener nofollow\">&quot;\u0641\u0646 \u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u0643\u0645\u0628\u064a\u0648\u062a\u0631&quot; \u0644\u062f\u0648\u0646\u0627\u0644\u062f \u0643\u0646\u0648\u062b<\/a><\/li>\n<li><a href=\"https:\/\/www.geeksforgeeks.org\/backtracking-algorithms\/\" target=\"_new\" rel=\"noopener nofollow\">\u0634\u0631\u062d \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u062a\u0631\u0627\u062c\u0639<\/a><\/li>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Backtracking\" target=\"_new\" rel=\"noopener nofollow\">\u0627\u0644\u062a\u0631\u0627\u062c\u0639 \u0641\u064a \u0648\u064a\u0643\u064a\u0628\u064a\u062f\u064a\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\/ar\/wp-json\/wp\/v2\/wiki\/475961","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/wiki\/475961\/revisions"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/media?parent=475961"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}