{"id":363681,"date":"2024-08-01T14:11:38","date_gmt":"2024-08-01T13:11:38","guid":{"rendered":"https:\/\/ypsilon.dev\/ar\/blog\/%d9%85%d8%a7%d8%b0%d8%a7-%d9%8a%d8%b9%d9%86%d9%8a-longest-common-subsequence-%d9%81%d9%8a-%d9%85%d8%ac%d8%a7%d9%84-%d8%a7%d9%84%d8%ae%d9%88%d8%a7%d8%b1%d8%b2%d9%85%d9%8a%d8%a7%d8%aa-%d9%88%d9%87%d9%8a\/"},"modified":"2024-08-01T14:11:38","modified_gmt":"2024-08-01T13:11:38","slug":"%d9%85%d8%a7%d8%b0%d8%a7-%d9%8a%d8%b9%d9%86%d9%8a-longest-common-subsequence-%d9%81%d9%8a-%d9%85%d8%ac%d8%a7%d9%84-%d8%a7%d9%84%d8%ae%d9%88%d8%a7%d8%b1%d8%b2%d9%85%d9%8a%d8%a7%d8%aa-%d9%88%d9%87%d9%8a","status":"publish","type":"post","link":"https:\/\/ypsilon.dev\/ar\/%d9%85%d8%a7%d8%b0%d8%a7-%d9%8a%d8%b9%d9%86%d9%8a-longest-common-subsequence-%d9%81%d9%8a-%d9%85%d8%ac%d8%a7%d9%84-%d8%a7%d9%84%d8%ae%d9%88%d8%a7%d8%b1%d8%b2%d9%85%d9%8a%d8%a7%d8%aa-%d9%88%d9%87%d9%8a\/","title":{"rendered":"\u0645\u0627\u0630\u0627 \u064a\u0639\u0646\u064a longest common subsequence \u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0648\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a"},"content":{"rendered":"<h2><strong>\u0645\u0627\u0630\u0627 \u064a\u0639\u0646\u064a Longest Common Subsequence \u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0648\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a\u061f<\/strong><\/h2>\n<p>\u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0648\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a\u060c \u064a\u0639\u062a\u0628\u0631 \u0645\u0641\u0647\u0648\u0645 &#8220;Longest Common Subsequence&#8221; \u0623\u0648 &#8220;\u0623\u0637\u0648\u0644 \u0633\u0644\u0633\u0644\u0629 \u0645\u0634\u062a\u0631\u0643\u0629&#8221; \u0645\u0646 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0648\u0627\u0644\u0645\u0647\u0645\u0629. \u062a\u062a\u0639\u0627\u0645\u0644 \u0647\u0630\u0647 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0645\u0639 \u0645\u0634\u0643\u0644\u0629 \u0625\u064a\u062c\u0627\u062f \u0623\u0637\u0648\u0644 \u0633\u0644\u0633\u0644\u0629 \u0641\u0631\u0639\u064a\u0629 \u0645\u0634\u062a\u0631\u0643\u0629 \u0628\u064a\u0646 \u0633\u0644\u0633\u0644\u062a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u062a\u064a\u0646\u060c \u062d\u064a\u062b \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u062a\u0631\u062a\u064a\u0628 \u0641\u064a \u0627\u0644\u0633\u0644\u0633\u0644\u062a\u064a\u0646\u060c \u0648\u0644\u0643\u0646 \u0644\u064a\u0633 \u0628\u0627\u0644\u0636\u0631\u0648\u0631\u0629 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0645\u062a\u062a\u0627\u0628\u0639\u0629. \u0647\u0630\u0627 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u064a\u0645\u0643\u0646 \u062a\u0637\u0628\u064a\u0642\u0647 \u0641\u064a \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0645\u062c\u0627\u0644\u0627\u062a \u0645\u062b\u0644 \u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u0646\u0635\u0648\u0635\u060c \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062c\u064a\u0646\u0627\u062a\u060c \u0648\u0627\u0633\u062a\u0631\u062c\u0627\u0639 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a.<\/p>\n<h3><strong>\u0623\u0647\u0645\u064a\u0629 Longest Common Subsequence \u0641\u064a \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a<\/strong><\/h3>\n<p>\u062a\u0644\u0639\u0628 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 &#8220;Longest Common Subsequence&#8221; \u062f\u0648\u0631\u064b\u0627 \u062d\u064a\u0648\u064a\u064b\u0627 \u0641\u064a \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0639\u0645\u0644\u064a\u0629. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0641\u064a \u0645\u0639\u0627\u0644\u062c\u0629 \u0627\u0644\u0646\u0635\u0648\u0635\u060c \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0644\u0645\u0642\u0627\u0631\u0646\u0629 \u0648\u062b\u064a\u0642\u062a\u064a\u0646 \u0648\u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0623\u062c\u0632\u0627\u0621 \u0627\u0644\u0646\u0635 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629 \u0628\u064a\u0646\u0647\u0645\u0627. \u0641\u064a \u0639\u0644\u0645 \u0627\u0644\u062c\u064a\u0646\u0627\u062a\u060c \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0647\u0630\u0647 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0644\u0645\u0642\u0627\u0631\u0646\u0629 \u062a\u0633\u0644\u0633\u0644\u0627\u062a \u0627\u0644\u062d\u0645\u0636 \u0627\u0644\u0646\u0648\u0648\u064a \u0648\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u062a\u0634\u0627\u0628\u0647\u0627\u062a \u0628\u064a\u0646\u0647\u0627. \u0623\u064a\u0636\u064b\u0627\u060c \u062a\u0633\u062a\u062e\u062f\u0645 \u0641\u064a \u0627\u0633\u062a\u0631\u062c\u0627\u0639 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0644\u062a\u062d\u0633\u064a\u0646 \u062f\u0642\u0629 \u0627\u0644\u0628\u062d\u062b \u0648\u062a\u0642\u062f\u064a\u0645 \u0646\u062a\u0627\u0626\u062c \u0623\u0643\u062b\u0631 \u062a\u0637\u0627\u0628\u0642\u064b\u0627 \u0645\u0639 \u0627\u0633\u062a\u0641\u0633\u0627\u0631\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u064a\u0646.<\/p>\n<h3><strong>\u0643\u064a\u0641\u064a\u0629 \u0639\u0645\u0644 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 Longest Common Subsequence<\/strong><\/h3>\n<p>\u062a\u0639\u062a\u0645\u062f \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 Longest Common Subsequence \u0639\u0644\u0649 \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629 \u0644\u062d\u0644 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0628\u0643\u0641\u0627\u0621\u0629. \u064a\u062a\u0645 \u0628\u0646\u0627\u0621 \u062c\u062f\u0648\u0644 \u062b\u0646\u0627\u0626\u064a \u0627\u0644\u0623\u0628\u0639\u0627\u062f \u062d\u064a\u062b \u064a\u062a\u0645 \u062a\u062e\u0632\u064a\u0646 \u0642\u064a\u0645 \u0627\u0644\u0623\u0637\u0648\u0627\u0644 \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0644\u0623\u0637\u0648\u0644 \u0627\u0644\u0633\u0644\u0627\u0633\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629 \u0628\u064a\u0646 \u0623\u062c\u0632\u0627\u0621 \u0645\u0646 \u0627\u0644\u0633\u0644\u0633\u0644\u062a\u064a\u0646 \u0627\u0644\u0645\u062f\u062e\u0644\u062a\u064a\u0646. \u062a\u0628\u062f\u0623 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0645\u0646 \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0633\u0644\u0633\u0644\u062a\u064a\u0646\u060c \u0648\u062a\u0642\u0648\u0645 \u0628\u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0648\u0627\u062d\u062f\u0627\u064b \u062a\u0644\u0648 \u0627\u0644\u0622\u062e\u0631 \u0648\u062a\u062d\u062f\u064a\u062b \u0627\u0644\u062c\u062f\u0648\u0644 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u062a\u0644\u0643 \u0627\u0644\u0645\u0642\u0627\u0631\u0646\u0627\u062a.<\/p>\n<h4><strong>\u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629<\/strong><\/h4>\n<p>\u0644\u0646\u0623\u062e\u0630 \u0645\u062b\u0627\u0644\u0627\u064b \u0639\u0644\u0649 \u0633\u0644\u0633\u0644\u062a\u064a\u0646: X = &#8220;ABCBDAB&#8221; \u0648 Y = &#8220;BDCAB&#8221;. \u064a\u0645\u0643\u0646 \u0628\u0646\u0627\u0621 \u0627\u0644\u062c\u062f\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<ul>\n<li>\u0627\u0628\u062f\u0623 \u0628\u0625\u0646\u0634\u0627\u0621 \u062c\u062f\u0648\u0644 \u0623\u0628\u0639\u0627\u062f\u0647\u0627 (m+1) \u00d7 (n+1) \u062d\u064a\u062b m \u0648 n \u0647\u0645\u0627 \u0623\u0637\u0648\u0627\u0644 \u0627\u0644\u0633\u0644\u0633\u0644\u062a\u064a\u0646 X \u0648 Y \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a.<\/li>\n<li>\u0642\u0645 \u0628\u0645\u0644\u0621 \u0627\u0644\u0635\u0641 \u0627\u0644\u0623\u0648\u0644 \u0648\u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0628\u0627\u0644\u0623\u0635\u0641\u0627\u0631\u060c \u0644\u0623\u0646\u0647\u0627 \u062a\u0645\u062b\u0644 \u0627\u0644\u0645\u0642\u0627\u0631\u0646\u0629 \u0645\u0639 \u0627\u0644\u0633\u0644\u0633\u0644\u0629 \u0627\u0644\u0641\u0627\u0631\u063a\u0629.<\/li>\n<li>\u0642\u0645 \u0628\u0645\u0642\u0627\u0631\u0646\u0629 \u0643\u0644 \u0639\u0646\u0635\u0631 \u0645\u0646 X \u0645\u0639 \u0643\u0644 \u0639\u0646\u0635\u0631 \u0645\u0646 Y \u0648\u0645\u0644\u0621 \u0627\u0644\u062c\u062f\u0648\u0644 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0627\u0644\u0645\u0642\u0627\u0631\u0646\u0629.<\/li>\n<\/ul>\n<p>\u0628\u0639\u062f \u0645\u0644\u0621 \u0627\u0644\u062c\u062f\u0648\u0644\u060c \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0644\u062a\u062a\u0628\u0639 \u0623\u0637\u0648\u0644 \u0633\u0644\u0633\u0644\u0629 \u0645\u0634\u062a\u0631\u0643\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u0628\u062f\u0621 \u0645\u0646 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0633\u0641\u0644\u064a\u0629 \u0627\u0644\u064a\u0645\u0646\u0649 \u0648\u0627\u0644\u062a\u062d\u0631\u0643 \u0646\u062d\u0648 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0639\u0644\u064a\u0627 \u0627\u0644\u064a\u0633\u0631\u0649\u060c \u0645\u0639 \u062a\u062a\u0628\u0639 \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u062a\u064a \u0623\u062f\u062a \u0625\u0644\u0649 \u0623\u0639\u0644\u0649 \u0642\u064a\u0645\u0629 \u0641\u064a \u0627\u0644\u062c\u062f\u0648\u0644.<\/p>\n<h3><strong>\u062a\u0637\u0628\u064a\u0642\u0627\u062a Longest Common Subsequence<\/strong><\/h3>\n<p>\u062a\u062a\u0639\u062f\u062f \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 Longest Common Subsequence \u0641\u064a \u0645\u062e\u062a\u0644\u0641 \u0627\u0644\u0645\u062c\u0627\u0644\u0627\u062a\u060c \u0648\u0645\u0646 \u0623\u0628\u0631\u0632 \u0647\u0630\u0647 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a:<\/p>\n<h4><strong>\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0646\u0635\u0648\u0635 \u0648\u0627\u0644\u0645\u0633\u062a\u0646\u062f\u0627\u062a<\/strong><\/h4>\n<p>\u062a\u0633\u062a\u062e\u062f\u0645 \u0647\u0630\u0647 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0641\u064a \u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u0646\u0635\u0648\u0635 \u0648\u0627\u0644\u0645\u0633\u062a\u0646\u062f\u0627\u062a \u0644\u0627\u0643\u062a\u0634\u0627\u0641 \u0627\u0644\u062a\u0634\u0627\u0628\u0647\u0627\u062a \u0648\u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0628\u064a\u0646\u0647\u0627. \u0647\u0630\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0645\u0641\u064a\u062f\u064b\u0627 \u0641\u064a \u0639\u0645\u0644\u064a\u0627\u062a \u0645\u0631\u0627\u062c\u0639\u0629 \u0627\u0644\u0646\u0635\u0648\u0635\u060c \u0627\u0643\u062a\u0634\u0627\u0641 \u0627\u0644\u0633\u0631\u0642\u0629 \u0627\u0644\u0623\u062f\u0628\u064a\u0629\u060c \u0623\u0648 \u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u0625\u0635\u062f\u0627\u0631\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u0646 \u0646\u0641\u0633 \u0627\u0644\u0645\u0633\u062a\u0646\u062f.<\/p>\n<h4><strong>\u0627\u0644\u0628\u064a\u0648\u0644\u0648\u062c\u064a\u0627 \u0627\u0644\u062d\u0627\u0633\u0648\u0628\u064a\u0629<\/strong><\/h4>\n<p>\u0641\u064a \u0639\u0644\u0645 \u0627\u0644\u0623\u062d\u064a\u0627\u0621 \u0627\u0644\u062d\u0627\u0633\u0648\u0628\u064a\u060c \u062a\u0633\u062a\u062e\u062f\u0645 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 Longest Common Subsequence \u0644\u0645\u0642\u0627\u0631\u0646\u0629 \u062a\u0633\u0644\u0633\u0644\u0627\u062a \u0627\u0644\u062d\u0645\u0636 \u0627\u0644\u0646\u0648\u0648\u064a \u0648\u0627\u0644\u0628\u0631\u0648\u062a\u064a\u0646\u0627\u062a. \u0647\u0630\u0627 \u064a\u0633\u0627\u0639\u062f \u0641\u064a \u0641\u0647\u0645 \u0627\u0644\u0639\u0644\u0627\u0642\u0627\u062a \u0627\u0644\u062a\u0637\u0648\u0631\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0643\u0627\u0626\u0646\u0627\u062a \u0627\u0644\u062d\u064a\u0629 \u0648\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u062c\u064a\u0646\u0627\u062a \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629 \u0628\u064a\u0646\u0647\u0627.<\/p>\n<h4><strong>\u0627\u0633\u062a\u0631\u062c\u0627\u0639 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a<\/strong><\/h4>\n<p>\u062a\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0623\u064a\u0636\u064b\u0627 \u0641\u064a \u0623\u0646\u0638\u0645\u0629 \u0627\u0633\u062a\u0631\u062c\u0627\u0639 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0644\u062a\u062d\u0633\u064a\u0646 \u062f\u0642\u0629 \u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0628\u062d\u062b. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0633\u062a\u0641\u0633\u0627\u0631\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u064a\u0646 \u0628\u0627\u0644\u0645\u0633\u062a\u0646\u062f\u0627\u062a \u0627\u0644\u0645\u062a\u0627\u062d\u0629\u060c \u064a\u0645\u0643\u0646 \u0644\u0644\u0646\u0638\u0627\u0645 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0623\u062c\u0632\u0627\u0621 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629 \u0648\u062a\u0642\u062f\u064a\u0645 \u0646\u062a\u0627\u0626\u062c \u0623\u0643\u062b\u0631 \u062a\u0637\u0627\u0628\u0642\u064b\u0627 \u0645\u0639 \u0645\u0627 \u064a\u0628\u062d\u062b \u0639\u0646\u0647 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645.<\/p>\n<h3><strong>\u062a\u0639\u0642\u064a\u062f \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 Longest Common Subsequence<\/strong><\/h3>\n<p>\u062a\u0639\u062a\u0645\u062f \u0643\u0641\u0627\u0621\u0629 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 Longest Common Subsequence \u0639\u0644\u0649 \u062a\u0639\u0642\u064a\u062f\u0647\u0627 \u0627\u0644\u0632\u0645\u0646\u064a \u0648\u0627\u0644\u0645\u0643\u0627\u0646\u064a. \u0627\u0644\u062a\u0639\u0642\u064a\u062f \u0627\u0644\u0632\u0645\u0646\u064a \u0644\u0647\u0630\u0647 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0647\u0648 O(m*n) \u062d\u064a\u062b m \u0648 n \u0647\u0645\u0627 \u0623\u0637\u0648\u0627\u0644 \u0627\u0644\u0633\u0644\u0633\u0644\u062a\u064a\u0646. \u0623\u0645\u0627 \u0627\u0644\u062a\u0639\u0642\u064a\u062f \u0627\u0644\u0645\u0643\u0627\u0646\u064a \u0641\u064a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062c\u062f\u0648\u0644 \u0627\u0644\u0630\u064a \u064a\u062a\u0637\u0644\u0628 \u0645\u0633\u0627\u062d\u0629 \u062a\u062e\u0632\u064a\u0646 \u0645\u0646 \u0646\u0641\u0633 \u0627\u0644\u062d\u062c\u0645.<\/p>\n<h4><strong>\u062a\u062d\u0633\u064a\u0646 \u0623\u062f\u0627\u0621 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629<\/strong><\/h4>\n<p>\u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646 \u0627\u0644\u062a\u0639\u0642\u064a\u062f \u0627\u0644\u0632\u0645\u0646\u064a O(m*n) \u064a\u0639\u062a\u0628\u0631 \u062c\u064a\u062f\u064b\u0627 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0643\u062b\u064a\u0631 \u0645\u0646 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a\u060c \u0625\u0644\u0627 \u0623\u0646 \u0647\u0646\u0627\u0643 \u0628\u0639\u0636 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0645\u0646 \u062e\u0644\u0627\u0644\u0647\u0627 \u062a\u062d\u0633\u064a\u0646 \u0623\u062f\u0627\u0621 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629. \u0645\u0646 \u0628\u064a\u0646 \u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u0642 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629 \u0627\u0644\u0641\u0639\u0627\u0644\u0629 \u0644\u062a\u0642\u0644\u064a\u0644 \u062d\u062c\u0645 \u0627\u0644\u062c\u062f\u0648\u0644 \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u060c \u0623\u0648 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062a\u0642\u0646\u064a\u0627\u062a \u0623\u062e\u0631\u0649 \u0645\u062b\u0644 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u062c\u0634\u0639\u0629 \u0641\u064a \u0628\u0639\u0636 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u062e\u0627\u0635\u0629.<\/p>\n<h3><strong>\u0623\u0645\u062b\u0644\u0629 \u0628\u0631\u0645\u062c\u064a\u0629 \u0639\u0644\u0649 Longest Common Subsequence<\/strong><\/h3>\n<p>\u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0645\u062b\u0627\u0644 \u0628\u0631\u0645\u062c\u064a \u0628\u0633\u064a\u0637 \u0628\u0644\u063a\u0629 Python \u0644\u062a\u0646\u0641\u064a\u0630 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 Longest Common Subsequence:<\/p>\n<pre><code>\ndef lcs(X, Y):\n    m = len(X)\n    n = len(Y)\n    L = [[0] * (n+1) for i in range(m+1)]\n\n    for i in range(m+1):\n        for j in range(n+1):\n            if i == 0 or j == 0:\n                L[i][j] = 0\n            elif X[i-1] == Y[j-1]:\n                L[i][j] = L[i-1][j-1] + 1\n            else:\n                L[i][j] = max(L[i-1][j], L[i][j-1])\n\n    index = L[m][n]\n    lcs = [\"\"] * (index+1)\n    lcs[index] = \"\"\n\n    i = m\n    j = n\n    while i > 0 and j > 0:\n        if X[i-1] == Y[j-1]:\n            lcs[index-1] = X[i-1]\n            i -= 1\n            j -= 1\n            index -= 1\n        elif L[i-1][j] > L[i][j-1]:\n            i -= 1\n        else:\n            j -= 1\n\n    return \"\".join(lcs)\n\nX = \"ABCBDAB\"\nY = \"BDCAB\"\nprint(\"LCS of \" + X + \" and \" + Y + \" is \" + lcs(X, Y))\n<\/code><\/pre>\n<p>\u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644 \u064a\u0648\u0636\u062d \u0643\u064a\u0641\u064a\u0629 \u0628\u0646\u0627\u0621 \u0627\u0644\u062c\u062f\u0648\u0644 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0644\u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0623\u0637\u0648\u0644 \u0633\u0644\u0633\u0644\u0629 \u0645\u0634\u062a\u0631\u0643\u0629 \u0628\u064a\u0646 \u0633\u0644\u0633\u0644\u062a\u064a\u0646.<\/p>\n<h3><strong>\u062e\u0627\u062a\u0645\u0629<\/strong><\/h3>\n<p>\u0641\u064a \u0627\u0644\u062e\u062a\u0627\u0645\u060c \u062a\u0639\u062a\u0628\u0631 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 Longest Common Subsequence \u0645\u0646 \u0627\u0644\u0623\u062f\u0648\u0627\u062a \u0627\u0644\u0647\u0627\u0645\u0629 \u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0648\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a. \u062a\u0648\u0641\u0631 \u062d\u0644\u0627\u064b \u0641\u0639\u0627\u0644\u0627\u064b \u0644\u0645\u0634\u0643\u0644\u0629 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0633\u0644\u0627\u0633\u0644 \u0627\u0644\u0641\u0631\u0639\u064a\u0629 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629 \u0628\u064a\u0646 \u0627\u0644\u0646\u0635\u0648\u0635 \u0648\u0627\u0644\u062a\u0633\u0644\u0633\u0644\u0627\u062a\u060c \u0645\u0645\u0627 \u064a\u062c\u0639\u0644\u0647\u0627 \u0645\u0641\u064a\u062f\u0629 \u0641\u064a \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0639\u0645\u0644\u064a\u0629. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0641\u0647\u0645 \u0643\u064a\u0641\u064a\u0629 \u0639\u0645\u0644 \u0647\u0630\u0647 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0648\u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d\u060c \u064a\u0645\u0643\u0646 \u062a\u062d\u0633\u064a\u0646 \u0623\u062f\u0627\u0621 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0648\u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u0633\u0644\u0627\u0633\u0644 \u0648\u062a\u062d\u0644\u064a\u0644\u0647\u0627.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0645\u0627\u0630\u0627 \u064a\u0639\u0646\u064a Longest Common Subsequence \u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0648\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a\u061f \u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0648\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a\u060c \u064a\u0639\u062a\u0628\u0631 \u0645\u0641\u0647\u0648\u0645 &#8220;Longest Common Subsequence&#8221; \u0623\u0648 &#8220;\u0623\u0637\u0648\u0644 \u0633\u0644\u0633\u0644\u0629 \u0645\u0634\u062a\u0631\u0643\u0629&#8221; \u0645\u0646 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0648\u0627\u0644\u0645\u0647\u0645\u0629. \u062a\u062a\u0639\u0627\u0645\u0644 \u0647\u0630\u0647 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0645\u0639 \u0645\u0634\u0643\u0644\u0629 \u0625\u064a\u062c\u0627\u062f \u0623\u0637\u0648\u0644 \u0633\u0644\u0633\u0644\u0629 \u0641\u0631\u0639\u064a\u0629 \u0645\u0634\u062a\u0631\u0643\u0629 \u0628\u064a\u0646 \u0633\u0644\u0633\u0644\u062a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u062a\u064a\u0646\u060c \u062d\u064a\u062b \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u062a\u0631\u062a\u064a\u0628 \u0641\u064a \u0627\u0644\u0633\u0644\u0633\u0644\u062a\u064a\u0646\u060c \u0648\u0644\u0643\u0646 \u0644\u064a\u0633 \u0628\u0627\u0644\u0636\u0631\u0648\u0631\u0629 \u0623\u0646 [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[304],"tags":[],"class_list":["post-363681","post","type-post","status-publish","format-standard","hentry","category-fast-facts"],"acf":[],"_links":{"self":[{"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/posts\/363681","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/comments?post=363681"}],"version-history":[{"count":0,"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/posts\/363681\/revisions"}],"wp:attachment":[{"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/media?parent=363681"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/categories?post=363681"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/tags?post=363681"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}