{"id":27201,"date":"2024-10-27T13:44:30","date_gmt":"2024-10-27T13:44:30","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=27201"},"modified":"2024-11-26T07:20:42","modified_gmt":"2024-11-26T07:20:42","slug":"%ed%8c%8c%ec%9d%b4%ec%8d%ac-%ec%bd%94%eb%94%a9%ed%85%8c%ec%8a%a4%ed%8a%b8-%ea%b0%95%ec%a2%8c-%ec%b5%9c%ec%9e%a5-%ea%b3%b5%ed%86%b5-%eb%b6%80%eb%b6%84-%ec%88%98%ec%97%b4-%ec%b0%be%ea%b8%b0","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/27201\/","title":{"rendered":"\ud30c\uc774\uc36c \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ucd5c\uc7a5 \uacf5\ud1b5 \ubd80\ubd84 \uc218\uc5f4 \ucc3e\uae30"},"content":{"rendered":"

<\/p>\n

\ubb38\uc81c \uc124\uba85<\/h2>\n

\n \uc8fc\uc5b4\uc9c4 \ub450 \uac1c\uc758 \ubb38\uc790\uc5f4\uc774 \uc788\uc744 \ub54c, \uc774 \ub450 \ubb38\uc790\uc5f4\uc758 \ucd5c\uc7a5 \uacf5\ud1b5 \ubd80\ubd84 \uc218\uc5f4(Longest Common Subsequence, LCS)\uc744 \uad6c\ud558\ub294 \ubb38\uc81c\uc785\ub2c8\ub2e4. \uacf5\ud1b5 \ubd80\ubd84 \uc218\uc5f4\uc774\ub780 \ub450 \ubb38\uc790\uc5f4\uc5d0\uc11c \uc21c\uc11c\ub97c \uc720\uc9c0\ud558\uba74\uc11c \ub098\ud0c0\ub098\ub294 \uacf5\ud1b5 \ubb38\uc790\ub4e4\uc744 \ub098\ud0c0\ub0c5\ub2c8\ub2e4. \uae38\uc774\uac00 \ucd5c\ub300\uc778 \uacbd\uc6b0\ub97c \ucc3e\ub294 \uac83\uc774 \ubaa9\ud45c\uc785\ub2c8\ub2e4.\n <\/p>\n

\uc608\uc81c<\/h2>\n

\uc785\ub825<\/h3>\n

\n \ubb38\uc790\uc5f4 A: ABCBDAB<\/strong>
\n \ubb38\uc790\uc5f4 B: BDCAB<\/strong>\n<\/p>\n

\ucd9c\ub825<\/h3>\n

\n \ucd5c\uc7a5 \uacf5\ud1b5 \ubd80\ubd84 \uc218\uc5f4: BDAB<\/strong>\n<\/p>\n

\ubb38\uc81c \uc811\uadfc \ubc29\ubc95<\/h2>\n

\n LCS \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud574\uc11c\ub294 \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d(Dynamic Programming)\uc744 \uc0ac\uc6a9\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d\uc740 \uc774\ubbf8 \uacc4\uc0b0\ud55c \uacb0\uacfc\ub97c \uc800\uc7a5\ud574 \ub450\uace0, \uc774\ub97c \uc7ac\uc0ac\uc6a9\ud558\ub294 \ubc29\uc2dd\uc73c\ub85c \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \uae30\ubc95\uc785\ub2c8\ub2e4. LCS\ub97c \uad6c\ud558\uae30 \uc704\ud574\uc11c\ub294 \ub450 \ubb38\uc790\uc5f4\uc758 \uac01 \ubb38\uc790 \ube44\uad50 \uacb0\uacfc\ub97c \ud1b5\ud574 \ubd80\ubd84 \uc218\uc5f4\uc758 \uae38\uc774\ub97c \uc800\uc7a5\ud574 \ub098\uac11\ub2c8\ub2e4.\n <\/p>\n

\ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d\uc744 \uc774\uc6a9\ud55c LCS \uad6c\ud558\uae30<\/h2>\n

1\ub2e8\uacc4: DP \ud14c\uc774\ube14 \ucd08\uae30\ud654<\/h3>\n

\n \ub450 \ubb38\uc790\uc5f4\uc758 \uae38\uc774\ub97c \uac01\uac01 m<\/code>, n<\/code>\uc774\ub77c \ud560 \ub54c, \ud06c\uae30\uac00 (m + 1) x (n + 1)<\/code>\uc778 2\ucc28\uc6d0 DP \ubc30\uc5f4\uc744 \uc0dd\uc131\ud558\uace0 \ucd08\uae30\ud654\ud569\ub2c8\ub2e4. DP \ubc30\uc5f4\uc758 \uac01 \uc6d0\uc18c\ub294 \ub450 \ubb38\uc790\uc5f4\uc5d0\uc11c\uc758 \uacf5\ud1b5 \ubd80\ubd84 \uc218\uc5f4\uc758 \uae38\uc774\ub97c \uc800\uc7a5\ud569\ub2c8\ub2e4.\n <\/p>\n

2\ub2e8\uacc4: DP \ud14c\uc774\ube14 \uc791\uc131<\/h3>\n

\n \ub450 \ubb38\uc790\uc5f4\uc758 \uac01 \ubb38\uc790\ub97c \ube44\uad50\ud558\uba74\uc11c DP \ud14c\uc774\ube14\uc744 \ucc44\uc6cc\ub098\uac11\ub2c8\ub2e4. \ub9cc\uc57d \ub450 \ubb38\uc790\uac00 \uac19\ub2e4\uba74, \uadf8 \ubb38\uc790\ub97c \ud3ec\ud568\ud55c LCS \uae38\uc774\ub294 DP[i-1][j-1] + 1<\/code>\uc785\ub2c8\ub2e4. \ub9cc\uc57d \ub2e4\ub974\ub2e4\uba74, DP[i][j] = max(DP[i-1][j], DP[i][j-1])<\/code>\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud604\uc7ac\uae4c\uc9c0 \ucc3e\uc740 LCS \uae38\uc774\ub97c \uae30\ub85d\ud569\ub2c8\ub2e4.\n <\/p>\n

3\ub2e8\uacc4: LCS \uae38\uc774\uc640 \ubb38\uc790\uc5f4 \ucd94\ucd9c<\/h3>\n

\n DP \ud14c\uc774\ube14\uc744 \ubaa8\ub450 \ucc44\uc6b4 \ud6c4, DP[m][n]<\/code>\uc744 \ud655\uc778\ud558\uc5ec \ucd5c\uc7a5 \uacf5\ud1b5 \ubd80\ubd84 \uc218\uc5f4\uc758 \uae38\uc774\ub97c \uc5bb\uace0, \uc774\ub97c \ud1b5\ud574 \uc2e4\uc81c \uacf5\ud1b5 \ubd80\ubd84 \uc218\uc5f4\uc744 \ucd94\ucd9c\ud569\ub2c8\ub2e4. \ucd94\ucd9c \uacfc\uc815\uc740 \ud14c\uc774\ube14\uc744 \uc5ed\uc73c\ub85c \ud0d0\uc0c9\ud558\uc5ec \uacf5\ud1b5\ub41c \ubb38\uc790\ub97c \ud655\uc778\ud558\ub294 \ubc29\uc2dd\uc73c\ub85c \uc9c4\ud589\ub429\ub2c8\ub2e4.\n <\/p>\n

\uc54c\uace0\ub9ac\uc998 \ucf54\ub4dc <\/h2>\n
\n    \ndef lcs(A, B):\n    # 1\ub2e8\uacc4: DP \ubc30\uc5f4 \ucd08\uae30\ud654\n    m = len(A)\n    n = len(B)\n    dp = [[0] * (n + 1) for _ in range(m + 1)]\n\n    # 2\ub2e8\uacc4: DP \ubc30\uc5f4 \uc791\uc131\n    for i in range(1, m + 1):\n        for j in range(1, n + 1):\n            if A[i - 1] == B[j - 1]:\n                dp[i][j] = dp[i - 1][j - 1] + 1\n            else:\n                dp[i][j] = max(dp[i - 1][j], dp[i][j - 1])\n\n    # 3\ub2e8\uacc4: LCS \uae38\uc774 \uc5bb\uae30\n    lcs_length = dp[m][n]\n\n    # LCS \ubb38\uc790\uc5f4 \ucd94\ucd9c\n    lcs_str = []\n    i, j = m, n\n    while i > 0 and j > 0:\n        if A[i - 1] == B[j - 1]:\n            lcs_str.append(A[i - 1])\n            i -= 1\n            j -= 1\n        elif dp[i - 1][j] >= dp[i][j - 1]:\n            i -= 1\n        else:\n            j -= 1\n\n    lcs_str.reverse()  # \uaebc\ub0b8 \ubb38\uc790\uc5f4\uc744 \ub4a4\uc9d1\uc5b4\uc11c \uc6d0\ub798 \uc21c\uc11c\ub85c \ubcf5\uc6d0\n    return lcs_length, ''.join(lcs_str)\n\n# \ud14c\uc2a4\ud2b8 \ucf54\ub4dc\nA = \"ABCBDAB\"\nB = \"BDCAB\"\nlength, lcs_string = lcs(A, B)\nprint(\"LCS \uae38\uc774:\", length)\nprint(\"LCS \ubb38\uc790\uc5f4:\", lcs_string)\n    <\/code>\n    <\/pre>\n
\ubcf5\uc7a1\ub3c4 \ubd84\uc11d<\/h2>\n
\n        \uc774 \uc54c\uace0\ub9ac\uc998\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(m * n)\uc785\ub2c8\ub2e4. \uac01 \ubb38\uc790\ub97c \ube44\uad50\ud574\uc57c \ud558\ubbc0\ub85c, \ub450 \ubb38\uc790\uc5f4\uc758 \uae38\uc774\uc5d0 \ub530\ub77c \uacf1\ud574\uc9c4 \uacb0\uacfc\uac00 \ub098\uc635\ub2c8\ub2e4. \uacf5\uac04 \ubcf5\uc7a1\ub3c4 \ub610\ud55c O(m * n)\uc774\uba70, \uc0dd\uc131\ub41c DP \ud14c\uc774\ube14\uc758 \ud06c\uae30\uc5d0 \uc758\ud574 \uacb0\uc815\ub429\ub2c8\ub2e4. \ud558\uc9c0\ub9cc DP \ud14c\uc774\ube14\uc758 \ud06c\uae30\ub97c \uc904\uc77c \ubc29\ubc95\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \uc774\uc804 \ud589\uc758 \ub370\uc774\ud130\ub9cc \ud544\uc694\ud558\uae30 \ub54c\ubb38\uc5d0, 2\uac1c\uc758 1\ucc28\uc6d0 \ubc30\uc5f4\ub85c \uad6c\ud604\ud560 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4.\n    <\/p>\n
\ucd5c\uc801\ud654\ub41c \ucf54\ub4dc \uc608\uc2dc<\/h3>\n
\n    \ndef optimized_lcs(A, B):\n    m = len(A)\n    n = len(B)\n    dp = [0] * (n + 1)\n\n    for i in range(1, m + 1):\n        current = 0  # \ud604\uc7ac \uc704\uce58\uc758 \uac12\n        for j in range(1, n + 1):\n            temp = dp[j]\n            if A[i - 1] == B[j - 1]:\n                dp[j] = current + 1\n            else:\n                dp[j] = max(dp[j], dp[j - 1])\n            current = temp  # \uc774\uc804 \ud589\uc758 \uac12\uc744 \uc800\uc7a5\n\n    return dp[n]\n\n# \ucd5c\uc801\ud654\ub41c \ud14c\uc2a4\ud2b8\nlength = optimized_lcs(A, B)\nprint(\"LCS \uae38\uc774:\", length)\n    <\/code>\n    <\/pre>\n
\uacb0\ub860<\/h2>\n
\n        \uc774\ubc88 \uac15\uc88c\uc5d0\uc11c\ub294 \ucd5c\uc7a5 \uacf5\ud1b5 \ubd80\ubd84 \uc218\uc5f4(Longest Common Subsequence) \ubb38\uc81c\ub97c \ub2e4\ub8e8\uc5c8\uc2b5\ub2c8\ub2e4. \uc774 \ubb38\uc81c\ub294 \ubb38\uc790\uc5f4 \ucc98\ub9ac\uc640 \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d \uac1c\ub150\uc744 \uc27d\uac8c \ud65c\uc6a9\ud560 \uc218 \uc788\ub294 \uc88b\uc740 \uc608\uc81c\uc785\ub2c8\ub2e4. LCS \ubb38\uc81c\ub294 \ub2e4\uc591\ud55c \ubd84\uc57c, \ud2b9\ud788 \uc720\uc804\uc790 \ubd84\uc11d\uacfc \ub3d9\uc77c\ud55c \uc11c\uc5f4 \ucc3e\uae30 \ubb38\uc81c\uc5d0\uc11c \ub9ce\uc774 \uc0ac\uc6a9\ub418\ubbc0\ub85c, \uc54c\uace0\ub9ac\uc998\uc758 \uc774\ud574\uc640 \uad6c\ud604\uc740 \ucf54\ub529 \ud14c\uc2a4\ud2b8\ub098 \uc2e4\ubb34\uc5d0\uc11c \ub9e4\uc6b0 \uc720\uc6a9\ud569\ub2c8\ub2e4.\n    <\/p>\n
\ucc38\uace0 \uc790\ub8cc<\/h2>\n