\ubb38\uc790\uc5f4\uc774 \uc77c\uce58\ud560 \uacbd\uc6b0, dp[i][j] = dp[i-1][j-1] + 1; \uadf8\ub807\uc9c0 \uc54a\uc744 \uacbd\uc6b0 dp[i][j] = max(dp[i-1][j], dp[i][j-1])\ub85c \uc124\uc815\ud569\ub2c8\ub2e4.<\/li>\n<\/ul>\n3.2 \uc0c1\ud0dc \uc804\uc774 \uad00\uacc4<\/h3>\n
\ub3d9\uc801 \uacc4\ud68d\ubc95\uc5d0\uc11c\uc758 \uc0c1\ud0dc \uc804\uc774\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n
\n dp[i][j] = \n { \n dp[i-1][j-1] + 1, if A[i-1] == B[j-1]\n max(dp[i-1][j], dp[i][j-1]), if A[i-1] != B[j-1]\n }\n <\/pre>\n3.3 \uc790\ubc14 \uad6c\ud604 \ucf54\ub4dc<\/h3>\n
\uc774\uc81c \uc790\ubc14\ub85c LCS\ub97c \uad6c\ud604\ud574\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
\n \n public class LCS {\n\n public static int longestCommonSubsequence(String A, String B) {\n int n = A.length();\n int m = B.length();\n int[][] dp = new int[n + 1][m + 1];\n\n for (int i = 1; i <= n; i++) {\n for (int j = 1; j <= m; j++) {\n if (A.charAt(i - 1) == B.charAt(j - 1)) {\n dp[i][j] = dp[i - 1][j - 1] + 1;\n } else {\n dp[i][j] = Math.max(dp[i - 1][j], dp[i][j - 1]);\n }\n }\n }\n return dp[n][m];\n }\n\n public static void main(String[] args) {\n String A = \"ABCBDAB\";\n String B = \"BDCAB\";\n int length = longestCommonSubsequence(A, B);\n System.out.println(\"LCS\uc758 \uae38\uc774\ub294 \" + length + \"\uc785\ub2c8\ub2e4.\");\n }\n }\n <\/code>\n <\/pre>\n4. \uc804\uccb4 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\uc640 \uacf5\uac04 \ubcf5\uc7a1\ub3c4<\/h2>\n
\uc774 \uc54c\uace0\ub9ac\uc998\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(n * m)\uc774\uba70, \uacf5\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(n * m)\uc785\ub2c8\ub2e4. \ud558\uc9c0\ub9cc \uacf5\uac04 \ucd5c\uc801\ud654\ub97c \ud1b5\ud574 O(min(n, m))\uc73c\ub85c \uc904\uc77c \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n
5. \ucd94\uac00 \ud480\uc774 \ubc0f \uc608\uc81c<\/h2>\n
\uc774 \ubb38\uc81c\ub97c \ud655\uc7a5\ud558\uc5ec \ud574\uacb0\ud560 \uc218 \uc788\ub294 \uc5ec\ub7ec \ub2e4\ub978 \ubb38\uc81c\ub098 \ubcc0\ud615 \ubb38\uc81c\ub4e4\uc744 \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \uc8fc\uc5b4\uc9c4 \ubb38\uc790\uc5f4\ub4e4\uc758 \ucd5c\uc7a5 \uacf5\ud1b5 \ubd80\ubd84 \uc218\uc5f4\uc744 \uad6c\ud55c \ub2e4\uc74c, \ud574\ub2f9 \ubb38\uc790\uc5f4\uc744 \ucd9c\ub825\ud558\ub294 \ud568\uc218\ub3c4 \ucd94\uac00\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n
6. \ucd5c\uc885 \uc815\ub9ac<\/h2>\n
\ub3d9\uc801 \uacc4\ud68d\ubc95\uc740 \ubcf5\uc7a1\ud55c \ubb38\uc81c\ub97c \ud558\uc704 \ubb38\uc81c\ub85c \ub098\ub220 \ud574\uacb0\ud560 \uc218 \uc788\ub294 \ub9e4\uc6b0 \uc720\uc6a9\ud55c \uae30\ubc95\uc785\ub2c8\ub2e4. LCS \ubb38\uc81c\ub97c \ud1b5\ud574 DP\uc758 \uae30\ubcf8 \uac1c\ub150\uc744 \uc774\ud574\ud588\ub2e4\uba74, \uc790\uc2e0\ub9cc\uc758 \ub2e4\ub978 \ubb38\uc81c\ub97c \ud480\uc5b4\ubcf4\uba74\uc11c \uc5f0\uc2b5\ud558\ub294 \uac83\uc774 \uc88b\uc2b5\ub2c8\ub2e4.<\/p>\n
7. \ub2e4\uc74c \uac15\uc88c \uc548\ub0b4<\/h2>\n
\ub2e4\uc74c \uac15\uc88c\uc5d0\uc11c\ub294 \ub3d9\uc801 \uacc4\ud68d\ubc95\uc758 \ub2e4\ub978 \uc608\uc81c\ub97c \ub2e4\ub8e8\uace0, \ub2e4\uc591\ud55c \ucd5c\uc801\ud654 \uae30\ubc95\uc5d0 \ub300\ud574 \uc54c\uc544\ubcfc \uc608\uc815\uc785\ub2c8\ub2e4. \uad00\uc2ec\uc774 \uc788\uc73c\uc2dc\ub2e4\uba74 \ub9ce\uc740 \ucc38\uc5ec \ubd80\ud0c1\ub4dc\ub9bd\ub2c8\ub2e4!<\/p>\n
<\/body><\/p>\n","protected":false},"excerpt":{"rendered":"
1. \ub3d9\uc801 \uacc4\ud68d\ubc95\uc774\ub780? \ub3d9\uc801 \uacc4\ud68d\ubc95(Dynamic Programming, DP)\uc740 \ubb38\uc81c\ub97c \ub354 \uc791\uc740 \ud558\uc704 \ubb38\uc81c\ub85c \ub098\ub204\uc5b4 \ud574\uacb0\ud558\ub294 \uc54c\uace0\ub9ac\uc998 \uae30\ubc95\uc785\ub2c8\ub2e4. \uc77c\ubc18\uc801\uc73c\ub85c \uc7ac\uadc0\uc801 \uc811\uadfc \ubc29\uc2dd\uc744 \uc0ac\uc6a9\ud558\ub418, \ud558\uc704 \ubb38\uc81c\uc758 \uacb0\uacfc\ub97c \uc800\uc7a5\ud558\uc5ec \uc911\ubcf5 \uacc4\uc0b0\uc744 \uc904\uc774\ub294 \uac83\uc774 \ud2b9\uc9d5\uc785\ub2c8\ub2e4. DP\ub294 \uc8fc\ub85c \ucd5c\uc801\ud654 \ubb38\uc81c\uc5d0 \ud6a8\uacfc\uc801\uc774\uba70, \ub450 \uac00\uc9c0 \uc8fc\uc694 \uac1c\ub150\uc778 ‘\uba54\ubaa8\uc774\uc81c\uc774\uc158(memoization)’\uacfc ‘\ud0c0\ubdf8\ub808\uc774\uc158(tabulation)’\uc73c\ub85c \ub098\ub204\uc5b4\uc9d1\ub2c8\ub2e4. 2. \ubb38\uc81c \uc124\uba85 2.1 \ubb38\uc81c: \ucd5c\uc7a5 \uacf5\ud1b5 \ubd80\ubd84 \uc218\uc5f4 (Longest Common Subsequence, LCS) … \ub354 \ubcf4\uae30 “\uc790\ubc14 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ub3d9\uc801 \uacc4\ud68d\ubc95 \uc54c\uc544\ubcf4\uae30”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[22],"tags":[],"class_list":["post-26758","post","type-post","status-publish","format-standard","hentry","category-22"],"yoast_head":"\n\uc790\ubc14 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ub3d9\uc801 \uacc4\ud68d\ubc95 \uc54c\uc544\ubcf4\uae30 - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/atmokpo.com\/w\/26758\/\" \/>\n<meta property=\"og:locale\" content=\"ko_KR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\uc790\ubc14 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ub3d9\uc801 \uacc4\ud68d\ubc95 \uc54c\uc544\ubcf4\uae30 - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\" \/>\n<meta property=\"og:description\" content=\"1. \ub3d9\uc801 \uacc4\ud68d\ubc95\uc774\ub780? \ub3d9\uc801 \uacc4\ud68d\ubc95(Dynamic Programming, DP)\uc740 \ubb38\uc81c\ub97c \ub354 \uc791\uc740 \ud558\uc704 \ubb38\uc81c\ub85c \ub098\ub204\uc5b4 \ud574\uacb0\ud558\ub294 \uc54c\uace0\ub9ac\uc998 \uae30\ubc95\uc785\ub2c8\ub2e4. \uc77c\ubc18\uc801\uc73c\ub85c \uc7ac\uadc0\uc801 \uc811\uadfc \ubc29\uc2dd\uc744 \uc0ac\uc6a9\ud558\ub418, \ud558\uc704 \ubb38\uc81c\uc758 \uacb0\uacfc\ub97c \uc800\uc7a5\ud558\uc5ec \uc911\ubcf5 \uacc4\uc0b0\uc744 \uc904\uc774\ub294 \uac83\uc774 \ud2b9\uc9d5\uc785\ub2c8\ub2e4. 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