{"id":28378,"date":"2024-10-27T16:10:41","date_gmt":"2024-10-27T16:10:41","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=28378"},"modified":"2024-11-26T07:03:30","modified_gmt":"2024-11-26T07:03:30","slug":"%ec%bd%94%ed%8b%80%eb%a6%b0-%ec%bd%94%eb%94%a9%ed%85%8c%ec%8a%a4%ed%8a%b8-%ea%b0%95%ec%a2%8c-%ea%b0%80%ec%9e%a5-%ea%b8%b8%ea%b2%8c-%ec%a6%9d%ea%b0%80%ed%95%98%eb%8a%94-%eb%b6%80%eb%b6%84-%ec%88%98","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/28378\/","title":{"rendered":"\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uac00\uc7a5 \uae38\uac8c \uc99d\uac00\ud558\ub294 \ubd80\ubd84 \uc218\uc5f4 \ucc3e\uae30"},"content":{"rendered":"

<\/p>\n

\uc548\ub155\ud558\uc138\uc694! \uc774\ubc88 \ud3ec\uc2a4\ud2b8\uc5d0\uc11c\ub294 \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc790\uc8fc \ucd9c\uc81c\ub418\ub294 “\uac00\uc7a5 \uae38\uac8c \uc99d\uac00\ud558\ub294 \ubd80\ubd84 \uc218\uc5f4” \ubb38\uc81c\ub97c \ub2e4\ub904\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc774 \ubb38\uc81c\ub294 \uc54c\uace0\ub9ac\uc998\uc758 \uae30\ucd08\ub97c \uc774\ud574\ud558\uace0, \uc2e4\ub825\uc744 \uc313\ub294 \ub370 \ud070 \ub3c4\uc6c0\uc774 \ub429\ub2c8\ub2e4. \ubb38\uc81c\ub97c \ud6a8\uacfc\uc801\uc73c\ub85c \ud480\uae30 \uc704\ud55c \uc774\ub860\uacfc \ucf54\ud2c0\ub9b0\uc744 \ud65c\uc6a9\ud55c \uad6c\uccb4\uc801\uc778 \uad6c\ud604 \uacfc\uc815\uc744 \uc124\uba85\ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n

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

\uc8fc\uc5b4\uc9c4 \ubc30\uc5f4\uc5d0\uc11c \uac00\uc7a5 \uae38\uac8c \uc99d\uac00\ud558\ub294 \ubd80\ubd84 \uc218\uc5f4(LIS, Longest Increasing Subsequence)\uc744 \ucc3e\ub294 \ubb38\uc81c\uc785\ub2c8\ub2e4. \ubd80\ubd84 \uc218\uc5f4\uc774\ub780, \uc6d0\ub798 \ubc30\uc5f4\uc758 \uc6d0\uc18c\ub97c \uc21c\uc11c\ub300\ub85c \uc120\ud0dd\ud574\uc11c \ub9cc\ub4e0 \ubc30\uc5f4\uc774\uba70, \uc6d0\ub798 \ubc30\uc5f4\uc758 \uc21c\uc11c\ub97c \uc720\uc9c0\ud574\uc57c \ud569\ub2c8\ub2e4. \uc99d\uac00 \uc218\uc5f4\uc774\ub780 \uc6d0\uc18c\ub4e4\uc774 \ubaa8\ub450 \uc624\ub984\ucc28\uc21c\uc73c\ub85c \uc815\ub82c\ub418\uc5b4 \uc788\ub294 \uc218\uc5f4\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4.<\/p>\n

\uc608\uc81c<\/h3>\n
\n    \uc785\ub825: [10, 22, 9, 33, 21, 50, 41, 60, 80]\n    \ucd9c\ub825: 6\n    \uc124\uba85: \uac00\uc7a5 \uae38\uac8c \uc99d\uac00\ud558\ub294 \ubd80\ubd84 \uc218\uc5f4\uc758 \uc608\ub294 [10, 22, 33, 50, 60, 80]\uc785\ub2c8\ub2e4.\n    <\/pre>\n
\ubb38\uc81c \ud480\uc774 \uc811\uadfc\ubc95<\/h2>\n
\uc774 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud55c \uae30\ubcf8\uc801\uc778 \uc811\uadfc\ubc95\uc740 \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d(DP)\uc744 \uc0ac\uc6a9\ud558\ub294 \uac83\uc785\ub2c8\ub2e4. DP\ub294 \ubb38\uc81c\ub97c \uc791\uc740 \ubd80\ubd84 \ubb38\uc81c\ub85c \ub098\ub204\uc5b4 \ud478\ub294 \ubc29\ubc95\uc774\uba70, \uc774\uc804\uc758 \uacc4\uc0b0 \uacb0\uacfc\ub97c \uc800\uc7a5\ud558\uc5ec \uac19\uc740 \uacc4\uc0b0\uc744 \ubc18\ubcf5\ud558\uc9c0 \uc54a\ub3c4\ub85d \ud569\ub2c8\ub2e4.<\/p>\n
1\ub2e8\uacc4: DP \ud14c\uc774\ube14 \ucd08\uae30\ud654<\/h3>\n
\uba3c\uc800 DP \ud14c\uc774\ube14\uc744 \ucd08\uae30\ud654\ud569\ub2c8\ub2e4. \uc785\ub825 \ubc30\uc5f4\uc758 \uac01 \uc778\ub371\uc2a4\uc5d0\uc11c \uc2dc\uc791\ud560 \ub54c\uc758 LIS \uae38\uc774\ub97c \uc800\uc7a5\ud560 \ubc30\uc5f4\uc744 \uc0dd\uc131\ud569\ub2c8\ub2e4. \ucd08\uae30\uc5d0\ub294 \uac01 \uc6d0\uc18c\uac00 \uc790\uae30 \uc790\uc2e0\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c4 \ubd80\ubd84 \uc218\uc5f4\uc774 \ucd5c\ub300\uc774\ubbc0\ub85c \ubaa8\ub4e0 \uac12\uc740 1\ub85c \uc124\uc815\ud569\ub2c8\ub2e4.<\/p>\n
2\ub2e8\uacc4: DP \ud14c\uc774\ube14 \uc5c5\ub370\uc774\ud2b8<\/h3>\n
\uc774\uc81c \uc785\ub825 \ubc30\uc5f4\uc758 \ubaa8\ub4e0 \uc6d0\uc18c\uc5d0 \ub300\ud574 \uc11c\ub85c \ube44\uad50\ud569\ub2c8\ub2e4. \uac01 \uc6d0\uc18c arr[i]<\/code>\uc5d0 \ub300\ud574, \uadf8\ubcf4\ub2e4 \uc55e\uc5d0 \uc788\ub294 \ubaa8\ub4e0 \uc6d0\uc18c arr[j]<\/code> (j < i)\ub97c \ud655\uc778\ud558\uc5ec \ub2e4\uc74c \uc870\uac74\uc744 \ud3c9\uac00\ud569\ub2c8\ub2e4:<\/p>\n
\n    if arr[i] > arr[j] then\n        dp[i] = max(dp[i], dp[j] + 1)\n    <\/pre>\n
\uc5ec\uae30\uc11c dp[i]<\/code>\ub294 arr[i]<\/code>\ub97c \ud3ec\ud568\ud558\ub294 LIS\uc758 \uae38\uc774\uc774\uba70, dp[j] + 1<\/code>\uc740 arr[j]<\/code> \ub2e4\uc74c\uc5d0 arr[i]<\/code>\ub97c \ucd94\uac00\ud55c \uacbd\uc6b0\uc758 \uae38\uc774\ub97c \ub098\ud0c0\ub0c5\ub2c8\ub2e4.<\/p>\n
3\ub2e8\uacc4: \uacb0\uacfc \ub3c4\ucd9c<\/h3>\n
\ubaa8\ub4e0 \uc6d0\uc18c\uc5d0 \ub300\ud55c \ucc98\ub9ac\uac00 \ub05d\ub09c \ud6c4, dp<\/code> \ubc30\uc5f4\uc5d0\uc11c \uac00\uc7a5 \ud070 \uac12\uc744 \ucc3e\uc544 LIS\uc758 \uae38\uc774\ub97c \uacb0\uacfc\ub85c \ubc18\ud658\ud569\ub2c8\ub2e4.<\/p>\n
\ucf54\ud2c0\ub9b0 \uad6c\ud604<\/h2>\n
\uc774\uc81c \uc9c1\uc811 \ucf54\ud2c0\ub9b0\uc73c\ub85c \uad6c\ud604\ud574\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc544\ub798\ub294 \uc55e\uc11c \uc124\uba85\ud55c \uc54c\uace0\ub9ac\uc998\uc744 \ub530\ub974\ub294 \ucf54\ub4dc\uc785\ub2c8\ub2e4.<\/p>\n
\nfun longestIncreasingSubsequence(arr: IntArray): Int {\n    val n = arr.size\n    val dp = IntArray(n) { 1 } \/\/ initialize dp array\n\n    for (i in 1 until n) {\n        for (j in 0 until i) {\n            if (arr[i] > arr[j]) {\n                dp[i] = maxOf(dp[i], dp[j] + 1)\n            }\n        }\n    }\n    return dp.maxOrNull() ?: 1 \/\/ return the maximum value in dp array\n}\n\nfun main() {\n    val arr = intArrayOf(10, 22, 9, 33, 21, 50, 41, 60, 80)\n    val length = longestIncreasingSubsequence(arr)\n    println(\"\uac00\uc7a5 \uae38\uac8c \uc99d\uac00\ud558\ub294 \ubd80\ubd84 \uc218\uc5f4\uc758 \uae38\uc774: $length\")\n}\n    <\/code><\/pre>\n
\ubcf5\uc7a1\ub3c4 \ubd84\uc11d<\/h2>\n
\uacb0\uacfc\uc801\uc73c\ub85c, \uc774 \uc54c\uace0\ub9ac\uc998\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(n\u00b2)\uc785\ub2c8\ub2e4. \uc774\ub294 \uc911\ucca9\ub41c \ubc18\ubcf5\ubb38\uc774 n\uc5d0 \ub300\ud574 \uc2e4\ud589\ub418\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4. \uacf5\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(n)\uc73c\ub85c DP \ubc30\uc5f4\uc744 \uc800\uc7a5\ud558\uae30 \uc704\ud55c \uacf5\uac04\uc774 \ud544\uc694\ud569\ub2c8\ub2e4.<\/p>\n
\ucd5c\uc801\ud654 \ubc29\ubc95<\/h2>\n
\ub9cc\uc57d \ub354 \ub192\uc740 \uc131\ub2a5\uc774 \uc694\uad6c\ub41c\ub2e4\uba74, \uc774\uc9c4 \ud0d0\uc0c9(binary search)\uc744 \ud65c\uc6a9\ud558\uc5ec LIS \ubb38\uc81c\ub97c O(n log n)\uc73c\ub85c \ud574\uacb0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774 \ubc29\ubc95\uc740 \ub2e4\uc74c\uacfc \uac19\uc740 \ubc29\uc2dd\uc73c\ub85c \uad6c\ud604\ub429\ub2c8\ub2e4:<\/p>\n
\nimport java.util.*\n\nfun longestIncreasingSubsequenceOptimized(arr: IntArray): Int {\n    if (arr.isEmpty()) return 0\n\n    val tails = mutableListOf()\n\n    for (num in arr) {\n        val index = tails.binarySearch(num)\n        if (index < 0) {\n            val pos = -(index + 1)\n            if (pos == tails.size) {\n                tails.add(num)\n            } else {\n                tails[pos] = num\n            }\n        }\n    }\n    return tails.size\n}\n    <\/int><\/code><\/pre>\n
\uc5ec\uae30\uc11c\ub294 tails<\/code> \ubc30\uc5f4\uc774 LIS\uc758 \uac00\ub2a5\ud55c \ub9c8\uc9c0\ub9c9 \uc694\uc18c\ub4e4\uc744 \uc800\uc7a5\ud569\ub2c8\ub2e4. \uc774\uc9c4 \ud0d0\uc0c9\uc744 \ud1b5\ud574 \uc801\uc808\ud55c \uc704\uce58\ub97c \ucc3e\uc544 \uc0bd\uc785\ud558\uac70\ub098 \uad50\uccb4\ud569\ub2c8\ub2e4.<\/p>\n
\ub9c8\ubb34\ub9ac<\/h2>\n
\uc774\ubc88 \uae00\uc5d0\uc11c\ub294 \ucf54\ud2c0\ub9b0\uc744 \uc774\uc6a9\ud55c \uac00\uc7a5 \uae38\uac8c \uc99d\uac00\ud558\ub294 \ubd80\ubd84 \uc218\uc5f4 \ubb38\uc81c\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uc558\uc2b5\ub2c8\ub2e4. \ubb38\uc81c\uc758 \uc811\uadfc \ubc29\uc2dd\uacfc \uad6c\ud604 \ubc29\ubc95\uc744 \uc790\uc138\ud788 \uc124\uba85\ub4dc\ub838\uace0, \ucd94\uac00\uc801\uc73c\ub85c \ucd5c\uc801\ud654 \ubc29\ubc95\ub3c4 \ub2e4\ub918\uc2b5\ub2c8\ub2e4. \uc774\ub7ec\ud55c \ubb38\uc81c\ub4e4\uc740 \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc790\uc8fc \ucd9c\uc81c\ub418\ubbc0\ub85c, \ubc18\ubcf5\uc801\uc778 \uc5f0\uc2b5\uc774 \uc911\uc694\ud569\ub2c8\ub2e4. \uc55e\uc73c\ub85c\ub3c4 \ub2e4\uc591\ud55c \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub97c \ud568\uaed8 \ub098\ub204\ub3c4\ub85d \ud558\uaca0\uc2b5\ub2c8\ub2e4. \uad81\uae08\ud55c \uc810\uc774 \uc788\ub2e4\uba74 \ub313\uae00\ub85c \uc9c8\ubb38\ud574 \uc8fc\uc138\uc694!<\/p>\n
<\/body><\/p>\n","protected":false},"excerpt":{"rendered":"
\uc548\ub155\ud558\uc138\uc694! \uc774\ubc88 \ud3ec\uc2a4\ud2b8\uc5d0\uc11c\ub294 \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc790\uc8fc \ucd9c\uc81c\ub418\ub294 “\uac00\uc7a5 \uae38\uac8c \uc99d\uac00\ud558\ub294 \ubd80\ubd84 \uc218\uc5f4” \ubb38\uc81c\ub97c \ub2e4\ub904\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc774 \ubb38\uc81c\ub294 \uc54c\uace0\ub9ac\uc998\uc758 \uae30\ucd08\ub97c \uc774\ud574\ud558\uace0, \uc2e4\ub825\uc744 \uc313\ub294 \ub370 \ud070 \ub3c4\uc6c0\uc774 \ub429\ub2c8\ub2e4. \ubb38\uc81c\ub97c \ud6a8\uacfc\uc801\uc73c\ub85c \ud480\uae30 \uc704\ud55c \uc774\ub860\uacfc \ucf54\ud2c0\ub9b0\uc744 \ud65c\uc6a9\ud55c \uad6c\uccb4\uc801\uc778 \uad6c\ud604 \uacfc\uc815\uc744 \uc124\uba85\ud558\uaca0\uc2b5\ub2c8\ub2e4. \ubb38\uc81c \uc124\uba85 \uc8fc\uc5b4\uc9c4 \ubc30\uc5f4\uc5d0\uc11c \uac00\uc7a5 \uae38\uac8c \uc99d\uac00\ud558\ub294 \ubd80\ubd84 \uc218\uc5f4(LIS, Longest Increasing Subsequence)\uc744 \ucc3e\ub294 \ubb38\uc81c\uc785\ub2c8\ub2e4. \ubd80\ubd84 \uc218\uc5f4\uc774\ub780, \uc6d0\ub798 \ubc30\uc5f4\uc758 \uc6d0\uc18c\ub97c … \ub354 \ubcf4\uae30 “\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uac00\uc7a5 \uae38\uac8c \uc99d\uac00\ud558\ub294 \ubd80\ubd84 \uc218\uc5f4 \ucc3e\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":[28],"tags":[],"class_list":["post-28378","post","type-post","status-publish","format-standard","hentry","category-28"],"yoast_head":"\n\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uac00\uc7a5 \uae38\uac8c \uc99d\uac00\ud558\ub294 \ubd80\ubd84 \uc218\uc5f4 \ucc3e\uae30 - 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